ATLAS: Unitary group U_{6}(2),
Fischer group Fi_{21}
Order = 9196830720 = 2^{15}.3^{6}.5.7.11.
Mult = 2^{2} × 3.
Out = S_{3}.
The information on this page was prepared with help from Ibrahim Suleiman.
The following information is available for U_{6}(2) = Fi_{21}:
[Not linked to yet: this page is still being prepared.]
 U_{6}(2) and covers

Standard generators of U_{6}(2) are a and b where
a is in class 2A, b has order 7, ab has order 11 and
abb has order 18.
Standard generators of the double cover 2.U_{6}(2) are preimages
A and B where B has order 7, AB has order 11
and ABBB has order 11.
Standard generators of the triple cover 3.U_{6}(2) are preimages
A and B where A has order 2 and B has order 7.
Standard generators of the sixfold cover 6.U_{6}(2) are preimages
A and B where A has order 2, B has order 7,
AB has order 33 and ABBB has order 11.
Standard generators of 2^{2}.U_{6}(2) are preimages A
and B where B has order 7 and AB has order 11.
Standard generators of (2^{2} × 3).U_{6}(2) are
preimages A and B where A has order 2, B has
order 7 and AB has order 33.
 U_{6}(2):2 and covers

Standard generators of U_{6}(2):2 are c and d where
c is in class 2D, d is in class 6J and cd has order 11.
Standard generators of either double cover 2.U_{6}(2).2 are preimages
C and D where CD has order 11.
Standard generators of the triple cover 3.U_{6}(2):2 are preimages
C and D where CD has order 11.
Standard generators of either sixfold cover 6.U_{6}(2).2 are preimages
C and D where CD has order 11.
Standard generators of 2^{2}.U_{6}(2):2 are preimages
C and D where C has order 2, D has order 6
and CDCDCDCDCDDCDCDDCDDCDD has order 7.
 U_{6}(2):3 and covers

Standard generators of U_{6}(2):3 are e and f where
e is in class 3D, f has order 11, ef has order 21
and eff has order 18.
Standard generators of 3.U_{6}(2):3 are preimages E and
F where F has order 11.
Standard generators of 2^{2}.U_{6}(2):3 are preimages
E and F where F has order 11.
 U_{6}(2):S_{3} and covers

Standard generators of U_{6}(2):S_{3} are g and
h where g is in class 2D, h is in class 6J [6J'/6J''
from the point of view of U_{6}(2)] and gh has order 21.
Standard generators of 3.U_{6}(2):S_{3} are preimages
G and H. No extra conditions are required, as all such pairs
are automorphic.
Standard generators of 2^{2}.U_{6}(2):S_{3} are
preimages G and H where ...
An automorphism of U_{6}(2) of order 3 can be obtained by mapping
(a, b) to
((abb)^4a(abb)^4,
(abababbab)^1babababbab).
An automorphism of U_{6}(2) of order 2 can be obtained by mapping
(a, b) to
(a, b^1).
This automorphism normalises the double cover defined by the standard
generators, but interchanges the other two double covers.
< a, b  a^{2} = b^{7} =
(ab)^{11} = [a, b]^{2} =
[a, b^{2}]^{3} =
[a, b^{3}]^{3} =
(ab^{3})^{11} =
(abab^{2}ab^{3}ab^{3})^{7}
= 1 >.
The last two relations are just quotienting out central involutions from a
group of shape 2^{2}.U_{6}(2).
U_{6}(2) and covers
The representations of U_{6}(2) available are:
 Some primitive permutation representations.

Permutations on 672 points:
a and
b (Meataxe),
a and
b (Meataxe binary),
a and
b (GAP).

Permutations on 693 points:
a and
b (Meataxe),
a and
b (Meataxe binary),
a and
b (GAP).

Permutations on 891 points:
a and
b (Meataxe),
a and
b (Meataxe binary),
a and
b (GAP).

Permutations on 1408a points:
a and
b (Meataxe),
a and
b (Meataxe binary),
a and
b (GAP).

Permutations on 1408b points:
a and
b (Meataxe),
a and
b (Meataxe binary),
a and
b (GAP).

Permutations on 1408c points:
a and
b (Meataxe),
a and
b (Meataxe binary),
a and
b (GAP).

Permutations on 2816a points  imprimitive:
a and
b (Meataxe),
a and
b (Meataxe binary),
a and
b (GAP).

Permutations on 2816b points  imprimitive:
a and
b (Meataxe),
a and
b (Meataxe binary),
a and
b (GAP).

Permutations on 2816c points  imprimitive:
a and
b (Meataxe),
a and
b (Meataxe binary),
a and
b (GAP).

Permutations on 6237 points:
a and
b (Meataxe),
a and
b (Meataxe binary),
a and
b (GAP).

Permutations on 6336a points:
a and
b (Meataxe),
a and
b (Meataxe binary),
a and
b (GAP).

Permutations on 6336b points:
a and
b (Meataxe),
a and
b (Meataxe binary),
a and
b (GAP).

Permutations on 6336c points:
a and
b (Meataxe),
a and
b (Meataxe binary),
a and
b (GAP).

Permutations on 12474 points  imprimitive:
a and
b (Meataxe),
a and
b (Meataxe binary),
a and
b (GAP).

Permutations on 20736a points:
a and
b (Meataxe),
a and
b (Meataxe binary),
a and
b (GAP).

Permutations on 20736b points:
a and
b (Meataxe),
a and
b (Meataxe binary),
a and
b (GAP).

Permutations on 20736c points:
a and
b (Meataxe),
a and
b (Meataxe binary),
a and
b (GAP).

Permutations on 59136 points:
a and
b (Meataxe),
a and
b (Meataxe binary),
a and
b (GAP).
 Some faithful irreducibles in characteristic 2.

Dimension 20 over GF(2):
a and
b (Meataxe),
a and
b (Meataxe binary),
a and
b (GAP).

Dimension 34 over GF(2):
a and
b (Meataxe),
a and
b (Meataxe binary),
a and
b (GAP).

Dimension 70a over GF(4):
a and
b (Meataxe),
a and
b (Meataxe binary),
a and
b (GAP).

Dimension 70b over GF(4):
a and
b (Meataxe),
a and
b (Meataxe binary),
a and
b (GAP).

Dimension 140 over GF(2)  reducible over GF(4):
a and
b (Meataxe),
a and
b (Meataxe binary),
a and
b (GAP).

Dimension 154 over GF(2):
a and
b (Meataxe),
a and
b (Meataxe binary),
a and
b (GAP).

Dimension 400 over GF(2):
a and
b (Meataxe),
a and
b (Meataxe binary),
a and
b (GAP).

Dimension 896a over GF(4):
a and
b (Meataxe),
a and
b (Meataxe binary),
a and
b (GAP).
 Some faithful irreducibles in characteristic 3.

Dimension 21 over GF(3):
a and
b (Meataxe),
a and
b (Meataxe binary),
a and
b (GAP).

Dimension 210 over GF(3):
a and
b (Meataxe),
a and
b (Meataxe binary),
a and
b (GAP).

Dimension 229 over GF(3):
a and
b (Meataxe),
a and
b (Meataxe binary),
a and
b (GAP).

Dimension 364 over GF(3):
a and
b (Meataxe),
a and
b (Meataxe binary),
a and
b (GAP).
 Some faithful irreducibles in characteristic 5.

Dimension 22 over GF(5):
a and
b (Meataxe),
a and
b (Meataxe binary),
a and
b (GAP).

Dimension 231 over GF(5):
a and
b (Meataxe),
a and
b (Meataxe binary),
a and
b (GAP).

Dimension 252 over GF(5):
a and
b (Meataxe),
a and
b (Meataxe binary),
a and
b (GAP).

Dimension 440 over GF(5):
a and
b (Meataxe),
a and
b (Meataxe binary),
a and
b (GAP).

Dimension 616 over GF(5):
a and
b (Meataxe),
a and
b (Meataxe binary),
a and
b (GAP).
 Some faithful irreducibles in characteristic 7.

Dimension 22 over GF(7):
a and
b (Meataxe),
a and
b (Meataxe binary),
a and
b (GAP).

Dimension 231 over GF(7):
a and
b (Meataxe),
a and
b (Meataxe binary),
a and
b (GAP).

Dimension 252 over GF(7):
a and
b (Meataxe),
a and
b (Meataxe binary),
a and
b (GAP).

Dimension 439 over GF(7):
a and
b (Meataxe),
a and
b (Meataxe binary),
a and
b (GAP).

Dimension 616 over GF(7):
a and
b (Meataxe),
a and
b (Meataxe binary),
a and
b (GAP).
 Some faithful irreducibles in characteristic 11.

Dimension 22 over GF(11):
a and
b (Meataxe),
a and
b (Meataxe binary),
a and
b (GAP).

Dimension 231 over GF(11):
a and
b (Meataxe),
a and
b (Meataxe binary),
a and
b (GAP).

Dimension 251 over GF(11):
a and
b (Meataxe),
a and
b (Meataxe binary),
a and
b (GAP).

Dimension 440 over GF(11):
a and
b (Meataxe),
a and
b (Meataxe binary),
a and
b (GAP).

Dimension 616 over GF(11):
a and
b (Meataxe),
a and
b (Meataxe binary),
a and
b (GAP).
 Some faithful irreducibles in characteristic 0
 Dimension 22 over Z:
a and b (GAP).
 Dimension 231 over Z:
a and b (GAP).
The representations of 2.U_{6}(2) available are:
 Some permutation representations.

Permutations on 1344 points:
A and
B (Meataxe),
A and
B (Meataxe binary),
A and
B (GAP).

Permutations on 2816 points  character (1 + 252 + 1155a) + (176 + 1232):
A and
B (Meataxe),
A and
B (Meataxe binary),
A and
B (GAP).

Permutations on 2816 points  character (1 + 252 + 1155a) + (616 + 792):
A and
B (Meataxe),
A and
B (Meataxe binary),
A and
B (GAP).

Permutations on 5632 points:
A and
B (Meataxe),
A and
B (Meataxe binary),
A and
B (GAP).

Permutations on 12672a points:
A and
B (Meataxe),
A and
B (Meataxe binary),
A and
B (GAP).

Permutations on 12672b points:
A and
B (Meataxe),
A and
B (Meataxe binary),
A and
B (GAP).

Permutations on 12672c points:
A and
B (Meataxe),
A and
B (Meataxe binary),
A and
B (GAP).

Permutations on 41472 points:
A and
B (Meataxe),
A and
B (Meataxe binary),
A and
B (GAP).
 Some faithful irreducibles in characteristic 3.

Dimension 56 over GF(3):
A and
B (Meataxe),
A and
B (Meataxe binary),
A and
B (GAP).

Dimension 120 over GF(3):
A and
B (Meataxe),
A and
B (Meataxe binary),
A and
B (GAP).

Dimension 560 over GF(3):
A and
B (Meataxe),
A and
B (Meataxe binary),
A and
B (GAP).
 Some faithful irreducibles in characteristic 5.

Dimension 56 over GF(5):
A and
B (Meataxe),
A and
B (Meataxe binary),
A and
B (GAP).

Dimension 176 over GF(5):
A and
B (Meataxe),
A and
B (Meataxe binary),
A and
B (GAP).

Dimension 616 over GF(5):
A and
B (Meataxe),
A and
B (Meataxe binary),
A and
B (GAP).
 Some faithful irreducibles in characteristic 7.

Dimension 56 over GF(7):
A and
B (Meataxe),
A and
B (Meataxe binary),
A and
B (GAP).

Dimension 176 over GF(7):
A and
B (Meataxe),
A and
B (Meataxe binary),
A and
B (GAP).

Dimension 616 over GF(7):
A and
B (Meataxe),
A and
B (Meataxe binary),
A and
B (GAP).
 Some faithful irreducibles in characteristic 11.

Dimension 56 over GF(11):
A and
B (Meataxe),
A and
B (Meataxe binary),
A and
B (GAP).

Dimension 176 over GF(11):
A and
B (Meataxe),
A and
B (Meataxe binary),
A and
B (GAP).

Dimension 616 over GF(11):
A and
B (Meataxe),
A and
B (Meataxe binary),
A and
B (GAP).
The representations of 3.U_{6}(2) available are:
 Some permutation representations.

Permutations on 2016 points:
A and
B (Meataxe),
A and
B (Meataxe binary),
A and
B (GAP).

Permutations on 2079 points:
A and
B (Meataxe),
A and
B (Meataxe binary),
A and
B (GAP).

Permutations on 18711 points:
A and
B (Meataxe),
A and
B (Meataxe binary),
A and
B (GAP).

Permutations on 19008a points:
A and
B (Meataxe),
A and
B (Meataxe binary),
A and
B (GAP).

Permutations on 19008b points:
A and
B (Meataxe),
A and
B (Meataxe binary),
A and
B (GAP).

Permutations on 19008c points:
A and
B (Meataxe),
A and
B (Meataxe binary),
A and
B (GAP).
 Some faithful irreducibles in the z3cohort in characteristic 2.

Dimension 6 over GF(4)  the natural representation:
A and
B (Meataxe),
A and
B (Meataxe binary),
A and
B (GAP).

Dimension 15 over GF(4):
A and
B (Meataxe),
A and
B (Meataxe binary),
A and
B (GAP).

Dimension 84 over GF(4):
A and
B (Meataxe),
A and
B (Meataxe binary),
A and
B (GAP).

Dimension 90 over GF(4):
A and
B (Meataxe),
A and
B (Meataxe binary),
A and
B (GAP).

Dimension 204 over GF(4):
A and
B (Meataxe),
A and
B (Meataxe binary),
A and
B (GAP).

Dimension 384 over GF(4):
A and
B (Meataxe),
A and
B (Meataxe binary),
A and
B (GAP).

Dimension 720 over GF(4):
A and
B (Meataxe),
A and
B (Meataxe binary),
A and
B (GAP).

Dimension 924 over GF(4):
A and
B (Meataxe),
A and
B (Meataxe binary),
A and
B (GAP).
 Some faithful irreducibles in the z3cohort in characteristic 5.

Dimension 21 over GF(25):
A and
B (Meataxe),
A and
B (Meataxe binary),
A and
B (GAP).

Dimension 210 over GF(25):
A and
B (Meataxe),
A and
B (Meataxe binary),
A and
B (GAP).

Dimension 231 over GF(25):
A and
B (Meataxe),
A and
B (Meataxe binary),
A and
B (GAP).

Dimension 462 over GF(25):
A and
B (Meataxe),
A and
B (Meataxe binary),
A and
B (GAP).
 Some faithful irreducibles in the z3cohort in characteristic 7.

Dimension 21 over GF(7):
A and
B (Meataxe),
A and
B (Meataxe binary),
A and
B (GAP).

Dimension 210 over GF(7):
A and
B (Meataxe),
A and
B (Meataxe binary),
A and
B (GAP).

Dimension 231 over GF(7):
A and
B (Meataxe),
A and
B (Meataxe binary),
A and
B (GAP).

Dimension 462 over GF(7):
A and
B (Meataxe),
A and
B (Meataxe binary),
A and
B (GAP).
 Some faithful irreducibles in the z3cohort in characteristic 11.

Dimension 21 over GF(121):
A and
B (Meataxe),
A and
B (Meataxe binary),
A and
B (GAP).

Dimension 210 over GF(121):
A and
B (Meataxe),
A and
B (Meataxe binary),
A and
B (GAP).

Dimension 231 over GF(121):
A and
B (Meataxe),
A and
B (Meataxe binary),
A and
B (GAP).

Dimension 462 over GF(121):
A and
B (Meataxe),
A and
B (Meataxe binary),
A and
B (GAP).
The representations of 6.U_{6}(2) available are:
 Some permutation representations.

Permutations on 4032 points:
A and
B (Meataxe),
A and
B (Meataxe binary),
A and
B (GAP).

Permutations on 38016a points:
A and
B (Meataxe),
A and
B (Meataxe binary),
A and
B (GAP).

Permutations on 38016b points:
A and
B (Meataxe),
A and
B (Meataxe binary),
A and
B (GAP).

Permutations on 38016c points:
A and
B (Meataxe),
A and
B (Meataxe binary),
A and
B (GAP).

Dimension 27 over GF(4)  uniserial 6.15.6:
A and
B (Meataxe),
A and
B (Meataxe binary),
A and
B (GAP).

Dimension 120 over GF(25):
A and
B (Meataxe),
A and
B (Meataxe binary),
A and
B (GAP).

Dimension 120 over GF(7):
A and
B (Meataxe),
A and
B (Meataxe binary),
A and
B (GAP).

Dimension 120 over GF(121):
A and
B (Meataxe),
A and
B (Meataxe binary),
A and
B (GAP).
The representations of 2^{2}.U_{6}(2) available are:

Permutations on 2688 points:
A and
B (Meataxe),
A and
B (Meataxe binary),
A and
B (GAP).
The representations of (2^{2} × 3).U_{6}(2) available are:

Permutations on 4704 points  intransitive (orbits 2688 + 2016):
A and
B (Meataxe),
A and
B (Meataxe binary),
A and
B (GAP).

Permutations on 8064 points:
A and
B (Meataxe),
A and
B (Meataxe binary),
A and
B (GAP).

Dimension 27 over GF(4)  uniserial 6.15.6:
A and
B (Meataxe),
A and
B (Meataxe binary),
A and
B (GAP).
U_{6}(2):2 and covers
 The representations of U6(2):2 available are

Permutations on 672 points:
c and
d (Meataxe),
c and
d (Meataxe binary),
c and
d (GAP).

Permutations on 693 points:
c and
d (Meataxe),
c and
d (Meataxe binary),
c and
d (GAP).

Permutations on 891 points:
c and
d (Meataxe),
c and
d (Meataxe binary),
c and
d (GAP).

Permutations on 1408 points:
c and
d (Meataxe),
c and
d (Meataxe binary),
c and
d (GAP).

Permutations on 6237 points:
c and
d (Meataxe),
c and
d (Meataxe binary),
c and
d (GAP).

Permutations on 6336 points:
c and
d (Meataxe),
c and
d (Meataxe binary),
c and
d (GAP).

Permutations on 20736 points:
c and
d (Meataxe),
c and
d (Meataxe binary),
c and
d (GAP).

Dimension 20 over GF(2):
c and
d (Meataxe),
c and
d (Meataxe binary),
c and
d (GAP).

Dimension 34 over GF(2):
c and
d (Meataxe),
c and
d (Meataxe binary),
c and
d (GAP).

Dimension 140 over GF(2):
c and
d (Meataxe),
c and
d (Meataxe binary),
c and
d (GAP).

Dimension 154 over GF(2):
c and
d (Meataxe),
c and
d (Meataxe binary),
c and
d (GAP).

Dimension 400 over GF(2):
c and
d (Meataxe),
c and
d (Meataxe binary),
c and
d (GAP).

Dimension 21 over GF(3):
c and
d (Meataxe),
c and
d (Meataxe binary),
c and
d (GAP).

Dimension 210 over GF(3):
c and
d (Meataxe),
c and
d (Meataxe binary),
c and
d (GAP).

Dimension 229 over GF(3):
c and
d (Meataxe),
c and
d (Meataxe binary),
c and
d (GAP).

Dimension 364 over GF(3):
c and
d (Meataxe),
c and
d (Meataxe binary),
c and
d (GAP).

Dimension 22 over GF(5):
c and
d (Meataxe),
c and
d (Meataxe binary),
c and
d (GAP).

Dimension 22 over GF(7):
c and
d (Meataxe),
c and
d (Meataxe binary),
c and
d (GAP).

Dimension 22 over GF(11):
c and
d (Meataxe),
c and
d (Meataxe binary),
c and
d (GAP).
 The representation of 2.U6(2):2 available is
 C and
D as
56 × 56 matrices over GF(3).
 The representation of 3.U6(2):2 available is
 C and
D as
12 × 12 matrices over GF(2).
 The representation of 6.U6(2):2 available is
 C and
D as
240 × 240 matrices over GF(7).
 The representations of 2^{2}.U6(2):2 available are
 C and
D as
112 × 112 matrices over GF(3).
 C and
D as
240 × 240 matrices over GF(3).
U_{6}(2):3 and covers
 The representation of U6(2):3 available is
 e and
f as
20 × 20 matrices over GF(2).
 The representation of 3.U6(2):3 available is
 E and
F as
6 × 6 matrices over GF(4).
 The representation of 2^{2}.U6(2):3 available is
 E and
F as
168 × 168 matrices over GF(3).
 The representation of (2^{2} × 3).U6(2):3 available is
 E and
F as
360 × 360 matrices over GF(7).
U_{6}(2):S_{3} and covers
 The representations of U6(2):S3 available are

Permutations on 693 points:
g and
h (Meataxe),
g and
h (Meataxe binary),
g and
h (GAP).

Permutations on 891 points:
g and
h (Meataxe),
g and
h (Meataxe binary),
g and
h (GAP).

Dimension 20 over GF(2):
g and
h (Meataxe),
g and
h (Meataxe binary),
g and
h (GAP).

Dimension 34 over GF(2):
g and
h (Meataxe),
g and
h (Meataxe binary),
g and
h (GAP).

Dimension 140 over GF(2):
g and
h (Meataxe),
g and
h (Meataxe binary),
g and
h (GAP).

Dimension 140 over GF(2):
g and
h (Meataxe),
g and
h (Meataxe binary),
g and
h (GAP).

Dimension 140 over GF(2):
g and
h (Meataxe),
g and
h (Meataxe binary),
g and
h (GAP).

Dimension 154 over GF(2):
g and
h (Meataxe),
g and
h (Meataxe binary),
g and
h (GAP).

Dimension 400 over GF(2):
g and
h (Meataxe),
g and
h (Meataxe binary),
g and
h (GAP).

Dimension 21 over GF(3):
g and
h (Meataxe),
g and
h (Meataxe binary),
g and
h (GAP).

Dimension 210 over GF(3):
g and
h (Meataxe),
g and
h (Meataxe binary),
g and
h (GAP).

Dimension 229 over GF(3):
g and
h (Meataxe),
g and
h (Meataxe binary),
g and
h (GAP).

Dimension 364 over GF(3):
g and
h (Meataxe),
g and
h (Meataxe binary),
g and
h (GAP).

Dimension 22 over GF(5):
g and
h (Meataxe),
g and
h (Meataxe binary),
g and
h (GAP).

Dimension 22 over GF(7):
g and
h (Meataxe),
g and
h (Meataxe binary),
g and
h (GAP).

Dimension 22 over GF(11):
g and
h (Meataxe),
g and
h (Meataxe binary),
g and
h (GAP).
 The representation of 3.U6(2).S3 available is
 G and
H as
12 × 12 matrices over GF(2).
 The representation of 2^{2}.U6(2):S3 available is
 G and
H as
168 × 168 matrices over GF(3).
 The representation of (2^{2} × 3).U6(2):S3 available is
 G and
H as
720 × 720 matrices over GF(7).
The maximal subgroups of U_{6}(2) are as follows [implementation of word programs not checked]:

U_{5}(2), with generators
a, b^2ab^2, and standard generators
a, ababab^3.

2^{1+8}:U_{4}(2), with
generators [a, b], bab^5ab^4.

2^{9}:L_{3}(4), with
generators [a, b], babab^4.

U_{4}(3):2_{2}, with generators
a, b^2ab^3, and standard generators
a, b^2ab^2ab^5.

U_{4}(3):2_{2}, with generators
a, babab^2ab^2ab^3.

U_{4}(3):2_{2}, with generators
a, bababab^3ab^3.

2^{4+8}:(S_{3} × A_{5})
[= N(2A_{5}B_{10})], with generators
(ab^2ab^3ab^3ab^3)^3, ab^3ab^3ab^2ab^3.

S_{6}(2), with generators
a, b^2abab^3, and standard generators
a, b^3ab^2ab^4.

S_{6}(2), with generators
a, bab^4ab^3ab.

S_{6}(2), with generators
a, bab^3ab^4ab.

M_{22}, with generators
[a, b], abababb, and standard generators
(abababb)^4, (ab)^6(abababb)^2(ab)^5.

M_{22}, with generators
[a, b], ababab^2ab^3ab^5.

M_{22}, with generators
[a, b], bab^2ab^2ab^3ab^2.

U_{4}(2) × S_{3}, with
generators [a, b], bababab^5ab^5.

3^{1+4}:(Q_{8} × Q_{8}):S_{3},
with generators abb,
((b^{1}x^{1}bx)^{3}b^{1})^{2}b^{1}xbxb^{1}xbx^{1}b^{1}x^{1}bx^{1}b^{1}, where
x is (abb)^{6}.

L_{3}(4):2_{1}, with
generators [a, b], ababab^5ab^3ab^2ab^4.
The maximal subgroups of U_{6}(2):2 are as follows [implementation of word programs not checked]:
The maximal subgroups of U_{6}(2):3 are as follows [implementation of word programs not checked]:
The maximal subgroups of U_{6}(2):S_{3} are as follows [implementation of word programs not checked]:
The top central element of order 3 in 3.U_{6}(2) is
(AB)^{11}. We can also use (AB)^{11} as the top
central element of order 3 in the covers 6.U_{6}(2) and
(2^{2} × 3).U_{6}(2). The element AB is in
U_{6}(2)class 11A.
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Version 2.0 created on 21st September 2001.
Last updated 15.04.05 by RAW.