Order = 12180 =
Mult = 2.
Out = 2.

Porting notes

Porting incomplete.

Standard generators

Standard generators of L2(29) are a, b where a has order 2, b has order 3 and ab has order 29.

Standard generators of 2.L2(29) = SL2(29) are preimages A, B where B has order 3 and AB has order 29.

Black box algorithms

Checking generators (semi-presentations)

Group Semi-presentation File
L2(29) 〈〈 a, b | some conditions 〉〉 Download


Representations of L2(29)

Representations of 2.L2(29)

Conjugacy classes

Conjugacy classes of L2(29)

Conjugacy class Centraliser order Power up Class rep(s)
1A12 180 (abababb)15
2A28 (abababbababb)7
3A15 (abababb)5
5A15 (abababbabababb)3
5B15 (abababb)3
7A14 Omitted owing to length.
7B14 abababbababbabababbababb
7C14 abababbababbabababbababbabababbababbabababbababb
14A14 abababbababb
14B14 (abababbababb)9
14C14 (abababbababb)3
15A15 abababbabababbabababbabababb
15B15 abababbabababbabababbabababbabababbabababbabababbabababb
15C15 abababb
15D15 abababbabababb
29A29 ab
29B29 abab

Download words for class representatives.