Mult = 2.

Out = 2.

The following information is available for A_{500}:

Standard generators of A_{20} 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 S_{500} 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).

- Some primitive permutation representations

- Some primitive permutation representations

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Version 2.0 created on 5th July 2006.

Last updated 06.07.06 by JNB.