C₃²×C₉×D₁₂ #14518877

order	1944
isoclinism	isoclinic class of Dic₆
automorphism	?
homology	Abelianization (H₁) = C₂²×C₃²×C₉ · Schur multiplier (H₂) = C₂×C₃³

Aliases

direct product	C₃²×C₉×D₁₂
unambiguous semidirect product	C₄⋊(C₃²×D₃×C₉)

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

1244 conjugacy classes of subgroups; only the 450 normal subgroups are shown.

normal subgroups only

This group has 1244 conjugacy classes of subgroups — too many to draw. Only its 450 normal subgroups are shown.

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

μ_t(G) = 648

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1944, 3271);