Dic₆×C₃²⋊C₉ #14517282

order	1944
automorphism	?
homology	Abelianization (H₁) = C₂²×C₃×C₉ · Schur multiplier (H₂) = C₃²

Aliases

direct product	Dic₆×C₃²⋊C₉
unambiguous semidirect product	C₃⋊(Q₈×C₃²⋊C₉)
unambiguous semidirect product	(C₃²×Dic₆)⋊C₉

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

normal subgroups only

This group has 423 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) = 216

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1944, 1676);