We have classified (up to isomorphism) SOMA(k,8)s, with k≥ 3, invariant under a group of odd order.

The following table contains the number of isomorphism representatives of SOMA(k,8)s (with the given ud-type) from this classifications of SOMA(k,8)s. In this table, we link the numbers in representatives column with a GAP list of GRAPE graphs of SOMAs of the correpsonding ud-type.

k	ud-type	number of representatives
3	(1,1,1)	11
	(3)	7098 (compressed)
4	(1,1,1,1)	2
	(3,1)	1
5	(1,1,1,1,1)	1
6	(1,1,1,1,1,1)	1
7	(1,1,1,1,1,1,1)	1

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We have classified (up to isomorphism) SOMA(k,8)s, with k≥ 5, invariant under a non-trivial group.

The following table contains the number of isomorphism representatives of SOMA(k,8)s (with the given ud-type) from this classifications of SOMA(k,8)s. In this table, we link the numbers in representatives column with a GAP list of GRAPE graphs of SOMAs of the correpsonding ud-type.

k	ud-type	number of representatives
5	(1,1,1,1,1)	1
6	(1,1,1,1,1,1)	1
7	(1,1,1,1,1,1,1)	1

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Last updated: September 5th 2007.