ATLAS: Alternating group A500

Order = 500!/2.
Mult = 2.
Out = 2.

The following information is available for A500:


Standard generators

Standard generators of A20 are a and b where a is in class 3A (the smallest conjugacy class of elements of order 3), b of order 499 such that ab has order 498 and [a,b] has order 2.
In the natural representation we may take a = (1, 2, 3) and b = (2, 3, 4, 5, . . . , 497, 498, 499, 500).

Standard generators of S500 are c and d where c is in class 2Q9 (the smallest conjugacy class of outer involutions), d of order 499 such that cd has order 500.
In the natural representation we may take c = (1, 2) and d = (2, 3, 4, 5, . . . , 497, 498, 499, 500).


Representations

The representations of A500 available are: The representations of S500 available are:
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Version 2.0 created on 5th July 2006.
Last updated 06.07.06 by JNB.