ATLAS: Linear group L2(179)

Order = 2867580 = 22.32.5.89.179.
Mult = 2.
Out = 2.

The following information is available for L2(179):


Standard generators

Standard generators of L2(179) are a of order 2, b of order 3 such that ab has order 179.
Standard generators of the double cover 2.L2(179) = SL2(179) are preimages A and B such that B has order 3 and AB has order 179.

Standard generators of L2(179):2 = PGL2(179) are not yet defined.
Standard generators of the double cover 2.L2(179):2 = 2.PGL2(179) are not yet defined.


Automorphisms

An outer automorphism of L2(179) of order 2 may be obtained by mapping (a, b) to (a, bab2ab2ab2abab2ababab2ab2abab).

Black box algorithms


Representations

The representations of L2(179) available are: The representations of 2.L2(179) = SL2(179) available are: The representations of L2(179):2 = PGL2(179) available are: The representations of 2.L2(179):2 available are:

Maximal subgroups

The maximal subgroups of L2(179) are as follows.


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Version 2.0 created on 28th April 2004.
Last updated 30.04.04 by SN.