ATLAS: Alternating group A17

Order = 177843714048000
Mult = 2.
Out = 2.

The following information is available for A17:


Standard generators

Standard generators of A17 are a in class 3A, b of order 15 such that ab has order 17 (so we must have b in class 15G).
In the natural representation we may take a = (1, 2, 3) and b = (3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17).

Standard generators of S17 are c in class 2E, d of order 16 such that cd has order 17 (so we must have b in class 16A).
In the natural representation we may take c = (1, 2) and d = (2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17).


Black box algorithms

To find standard generators of A17: To find standard generators of S17:

Representations

The representations of A17 available are: The representations of S17 available are:
Main ATLAS page Go to main ATLAS (version 2.0) page.
Alternating groups page Go to alternating groups page.
ftp access Anonymous ftp access is also available on sylow.mat.bham.ac.uk.

Version 2.0 created on 17th February 2004.
Last updated 27.02.04 by SN.