D₃×C₃²⋊(C₂²⋊C₉) #14518215

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

Aliases

direct product	D₃×C₃²⋊(C₂²⋊C₉)
unambiguous semidirect product	C₃⋊(C₂×C₃²⋊(C₂²⋊C₉))
unambiguous semidirect product	(C₃²×D₃)⋊(C₂²⋊C₉)

584 conjugacy classes of subgroups; only the 72 normal subgroups are shown.

normal subgroups only

This group has 584 conjugacy classes of subgroups — too many to draw. Only its 72 normal subgroups are shown.

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

μ_t(G) = 108

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1944, 2609);