C₉×C₉⋊S₄ #14517995

order	1944
isoclinism	isoclinic class of C₉⋊S₄
automorphism	?
homology	Abelianization (H₁) = C₂×C₉ · Schur multiplier (H₂) = C₂×C₃

Aliases

direct product	C₉×C₉⋊S₄
unambiguous semidirect product	A₄⋊(C₉×D₉)

Fitting	C₂²×C₉² ⋊ D₃
derived	C₉×A₄ ⋊ C₂×C₉

250 conjugacy classes of subgroups; only the 42 normal subgroups are shown.

normal subgroups only

This group has 250 conjugacy classes of subgroups — too many to draw. Only its 42 normal subgroups are shown.

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

μ_t(G) = 72

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1944, 2389);