ATLAS: Linear group L3(13)

Order = 270178272 = 25.32.7.133.61.
Mult = 3.
Out = S3.

The following information is available for L3(13):


Standard generators

Standard generators of L3(13) are a and b where a has order 2, b has order 3, ab has order 61 and ababb has order 4. (Extra condition added 1/11/05.)
Standard generators of the triple cover 3.L3(13) = SL3(13) are not defined.

Standard generators of L3(13):2 are not defined.
Standard generators of L3(13):3 = PGL3(13) are not defined.
Standard generators of L3(13):S3 are not defined.


Black box algorithms

To find standard generators of L3(13):

Representations

The representations of L3(13) available are: The representations of 3.L3(13) = SL3(13) available are:
Main ATLAS page Go to main ATLAS (version 2.0) page.
Linear groups page Go to linear groups page.
ftp access Anonymous ftp access is also available. See here for details.

Version 2.0 file created on 3rd August 2004.
Last updated 13.12.05 by JNB.