We have classified (up to isomorphism) SOMA(k,7)s, with k ≥ 3, invariant under a non-trivial group. Also, we have classified (up to isomorphism) all SOMA(k,7)s with k ≥ 4. Note here these classifications give all the possible ud-types of an arbitrary SOMA(k,7).

The following table contains the number of isomorphism representatives of SOMA(k,7)s (with the given ud-type) from our classifications above. 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)	3
	(1,2)	17
	(3)	223
4	(1,1,1,1)	3
	(4)	1
5	(1,1,1,1,1)	1
6	(1,1,1,1,1,1)	1

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Last updated: September 5th 2007.