SymGen

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	1	2[100]	2[010]	2[001]
1	1	2[100]	2[010]	2[001]
2[100]	2[100]	1	2[001]	2[010]
2[010]	2[010]	2[001]	1	2[100]
2[001]	2[001]	2[010]	2[100]	1

This group contains 4 elements.
This group is complete.
This group is abelian.