C₃²×C₄⋊(C₃⋊D₉) #14518910

order	1944
isoclinism	isoclinic class of #6226
automorphism	?
homology	Abelianization (H₁) = C₂²×C₃² · Schur multiplier (H₂) = C₂×C₃²

Aliases

direct product	C₃²×C₄⋊(C₃⋊D₉)
unambiguous semidirect product	C₄⋊(C₃²×C₃⋊D₉)

Fitting	C₃³×C₄×C₉ ⋊ C₂
Sylow	C₃³×C₉ ⋊ D₄

984 conjugacy classes of subgroups; only the 198 normal subgroups are shown.

normal subgroups only

This group has 984 conjugacy classes of subgroups — too many to draw. Only its 198 normal subgroups are shown.

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

μ_t(G) = 216

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1944, 3304);