C₂²×C₃×D₃×H(3,𝔽₃) #14519355

order	1944
automorphism	?
homology	Abelianization (H₁) = C₂³×C₃³ · Schur multiplier (H₂) = C₂³×C₃⁴

Aliases

direct product	C₂²×C₃×D₃×H(3,𝔽₃)
unambiguous semidirect product	C₃⋊(C₂³×C₃×H(3,𝔽₃))
unambiguous semidirect product	(C₂×C₃)⋊(C₂²×C₃×H(3,𝔽₃))

Fitting	C₂²×C₃²×H(3,𝔽₃) ⋊ C₂
Sylow	C₃²×H(3,𝔽₃) ⋊ C₂³

2637 conjugacy classes of subgroups; only the 672 normal subgroups are shown.

normal subgroups only

This group has 2637 conjugacy classes of subgroups — too many to draw. Only its 672 normal subgroups are shown.

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

μ_t(G) = 216

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1944, 3749);