C₃×C₄⋊(C₃⋊((C₃⋊D₃)⋊C₃)) #14518917

order	1944
automorphism	?
homology	Abelianization (H₁) = C₂²×C₃² · Schur multiplier (H₂) = C₂×C₃³

Aliases

direct product	C₃×C₄⋊(C₃⋊((C₃⋊D₃)⋊C₃))
unambiguous semidirect product	C₄⋊(C₃×C₃⋊((C₃⋊D₃)⋊C₃))

Fitting	C₃²×C₄×H(3,𝔽₃) ⋊ C₂
Sylow	C₃²×H(3,𝔽₃) ⋊ D₄

1143 conjugacy classes of subgroups; only the 150 normal subgroups are shown.

normal subgroups only

This group has 1143 conjugacy classes of subgroups — too many to draw. Only its 150 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, 3311);