Direct product of Q8 and S3

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This group is defined as an external direct product of the following two groups: quaternion group and symmetric group:S3.

GAP implementation

Group ID

This finite group has order 48 and has ID 40 among the groups of order 48 in GAP's SmallGroup library. For context, there are 52 groups of order 48. It can thus be defined using GAP's SmallGroup function as:



gap> G := SmallGroup(48,40);


IdGroup(G) = [48,40]

or just do:



Other descriptions

Description Functions used
DirectProduct(SmallGroup(8,4),SymmetricGroup(3)) DirectProduct, SmallGroup, SymmetricGroup