ATLAS: Linear group L_{2}(29)
Order = 12180.
Mult = 2.
Out = 2.
Standard generators of L2(29) are a
and b where
a has order 2, b has order 3
and ab has order 29.
Standard generators of the double cover 2.L2(29) = SL2(29) are preimages
A
and B where
B has order 3
and AB has order 29.
The representation of L2(29) available is

Permutations on 30 points:
a and
b (Meataxe),
a and
b (Meataxe binary),
a and
b (GAP).

Dimension 14 over GF(4):
a and
b (Meataxe),
a and
b (Meataxe binary),
a and
b (GAP).

Dimension 14 over GF(4):
a and
b (Meataxe),
a and
b (Meataxe binary),
a and
b (GAP).

Dimension 28 over GF(3):
a and
b (Meataxe),
a and
b (Meataxe binary),
a and
b (GAP).

Dimension 28 over GF(5):
a and
b (Meataxe),
a and
b (Meataxe binary),
a and
b (GAP).

Dimension 29 over GF(7):
a and
b (Meataxe),
a and
b (Meataxe binary),
a and
b (GAP).
 All faithful irreducibles over GF(29):

Dimension 3 over GF(29):
a and
b (Meataxe),
a and
b (Meataxe binary),
a and
b (GAP).

Dimension 5 over GF(29):
a and
b (Meataxe),
a and
b (Meataxe binary),
a and
b (GAP).

Dimension 7 over GF(29):
a and
b (Meataxe),
a and
b (Meataxe binary),
a and
b (GAP).

Dimension 9 over GF(29):
a and
b (Meataxe),
a and
b (Meataxe binary),
a and
b (GAP).

Dimension 11 over GF(29):
a and
b (Meataxe),
a and
b (Meataxe binary),
a and
b (GAP).

Dimension 13 over GF(29):
a and
b (Meataxe),
a and
b (Meataxe binary),
a and
b (GAP).

Dimension 15 over GF(29):
a and
b (Meataxe),
a and
b (Meataxe binary),
a and
b (GAP).

Dimension 17 over GF(29):
a and
b (Meataxe),
a and
b (Meataxe binary),
a and
b (GAP).

Dimension 19 over GF(29):
a and
b (Meataxe),
a and
b (Meataxe binary),
a and
b (GAP).

Dimension 21 over GF(29):
a and
b (Meataxe),
a and
b (Meataxe binary),
a and
b (GAP).

Dimension 23 over GF(29):
a and
b (Meataxe),
a and
b (Meataxe binary),
a and
b (GAP).

Dimension 25 over GF(29):
a and
b (Meataxe),
a and
b (Meataxe binary),
a and
b (GAP).

Dimension 27 over GF(29):
a and
b (Meataxe),
a and
b (Meataxe binary),
a and
b (GAP).

Dimension 29 over GF(29):
a and
b (Meataxe),
a and
b (Meataxe binary),
a and
b (GAP).
The representations of 2.L2(29) available are

Dimension 2 over GF(29):
a and
b (Meataxe),
a and
b (Meataxe binary),
a and
b (GAP).
Maximal subgroups
The maximal subgroups of L2(29) are as follows.
 29:14, with generators
???.
 A_{5}
 A_{5}
 D_{30}
 D_{28}
The maximal subgroups of L2(29):2 are as follows.
 L_{2}(29)
 29:28
 D_{60}
 D_{56}
A set of generators for the maximal cyclic subgroups of L2(29) can be obtained
by running this program on the standard
generators. All conjugacy classes can therefore be obtained as suitable
powers of these elements.
A set of generators for the maximal cyclic subgroups of L2(29):2 can be obtained
by running this program on the standard
generators. All conjugacy classes can therefore be obtained as suitable
powers of these elements.
Go to main ATLAS (version 2.0) page.
Go to linear groups page.
Go to old L2(29) page  ATLAS version 1.
Anonymous ftp access is also available.
See here for details.
Version 2.0 file created on 17th January 2002,
from Version 1 file last modified on 13.03.96.
Last updated 17.01.02 by RAW.
Information checked to
Level 0 on 17.01.02 by RAW.
R.A.Wilson, R.A.Parker and J.N.Bray.