C₃×D₁₂×H(3,𝔽₃) #14518883

order	1944
automorphism	?
homology	Abelianization (H₁) = C₂²×C₃³ · Schur multiplier (H₂) = C₂×C₃⁴

Aliases

direct product	C₃×D₁₂×H(3,𝔽₃)
unambiguous semidirect product	C₄⋊(C₃×D₃×H(3,𝔽₃))
unambiguous semidirect product	(C₃²×D₁₂)⋊C₃²

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

1403 conjugacy classes of subgroups; only the 288 normal subgroups are shown.

normal subgroups only

This group has 1403 conjugacy classes of subgroups — too many to draw. Only its 288 normal subgroups are shown.

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

μ_t(G) = 216

297 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1944, 3277);