C₉×C₄⋊#272 #14517516

order	1944
isoclinism	isoclinic class of #6229
automorphism	?
homology	Abelianization (H₁) = C₂²×C₉ · Schur multiplier (H₂) = C₂

Aliases

direct product	C₉×C₄⋊#272
unambiguous semidirect product	C₄⋊(C₉×#272)

Fitting	C₄×C₉×H(3,𝔽₃) ⋊ C₂
Sylow	C₉×H(3,𝔽₃) ⋊ D₄

496 conjugacy classes of subgroups; only the 84 normal subgroups are shown.

normal subgroups only

This group has 496 conjugacy classes of subgroups — too many to draw. Only its 84 normal subgroups are shown.

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

μ_t(G) = 324

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1944, 1910);