C₉×C₃⋊(C₃⋊S₄) #14519212

order	1944
isoclinism	isoclinic class of C₃⋊(C₃⋊S₄)
automorphism	?
homology	Abelianization (H₁) = C₂×C₉ · Schur multiplier (H₂) = C₂×C₃³

Aliases

direct product	C₉×C₃⋊(C₃⋊S₄)
unambiguous semidirect product	C₃⋊(C₉×C₃⋊S₄)
unambiguous semidirect product	A₄⋊(C₉×C₃⋊D₃)

Fitting	C₂²×C₃²×C₉ ⋊ D₃
derived	C₃²×A₄ ⋊ C₂×C₉

718 conjugacy classes of subgroups; only the 105 normal subgroups are shown.

normal subgroups only

This group has 718 conjugacy classes of subgroups — too many to draw. Only its 105 normal subgroups are shown.

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

μ_t(G) = 216

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1944, 3606);