D₃×(C₂²⋊C₉)⋊C₉ #14518175

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

Aliases

direct product	D₃×(C₂²⋊C₉)⋊C₉
unambiguous semidirect product	C₃⋊(C₂×(C₂²⋊C₉)⋊C₉)
unambiguous semidirect product	(D₃×C₂²⋊C₉)⋊C₉

287 conjugacy classes of subgroups; only the 63 normal subgroups are shown.

normal subgroups only

This group has 287 conjugacy classes of subgroups — too many to draw. Only its 63 normal subgroups are shown.

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

μ_t(G) = 324

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1944, 2569);