C₃×D₃×C₂²⋊H(3,𝔽₃) #14519246

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

Aliases

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

C₂²×C₃⁴ ⋊ C₂×C₃

1088 conjugacy classes of subgroups; only the 126 normal subgroups are shown.

normal subgroups only

This group has 1088 conjugacy classes of subgroups — too many to draw. Only its 126 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, 3640);