#67×C₃²⋊C₉ #14517409

order	1944
automorphism	?
homology	Abelianization (H₁) = C₂²×C₃×C₉ · Schur multiplier (H₂) = C₂×C₃²

Aliases

direct product	#67×C₃²⋊C₉
unambiguous semidirect product	(C₃²×#67)⋊C₉

Fitting	C₂²×C₃×C₃²⋊C₉ ⋊ C₂
Sylow	C₃×C₃²⋊C₉ ⋊ D₄

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

normal subgroups only

This group has 613 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

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1944, 1803);