S₄×C₃²⋊C₉ #14517954

order	1944
automorphism	?
homology	Abelianization (H₁) = C₂×C₃×C₉ · Schur multiplier (H₂) = C₂×C₃²

Aliases

direct product	S₄×C₃²⋊C₉
unambiguous semidirect product	A₄⋊(C₂×C₃²⋊C₉)
unambiguous semidirect product	(C₃²×S₄)⋊C₉

351 conjugacy classes of subgroups; only the 56 normal subgroups are shown.

normal subgroups only

This group has 351 conjugacy classes of subgroups — too many to draw. Only its 56 normal subgroups are shown.

Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.

μ_t(G) = 108

maximal subgroup of	S₄×#6891
maximal normal subgroup of	S₄×#6891

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1944, 2348);