C₂²×D₃×C₉⋊C₉ #14518459

order	1944
automorphism	?
homology	Abelianization (H₁) = C₂³×C₃×C₉ · Schur multiplier (H₂) = C₂³×C₃

Aliases

direct product	C₂²×D₃×C₉⋊C₉
unambiguous semidirect product	C₃⋊(C₂³×C₉⋊C₉)
unambiguous semidirect product	(C₂×C₃)⋊(C₂²×C₉⋊C₉)

Fitting	C₂²×C₃×C₉⋊C₉ ⋊ C₂
Sylow	C₃×C₉⋊C₉ ⋊ C₂³

684 conjugacy classes of subgroups; only the 294 normal subgroups are shown.

normal subgroups only

This group has 684 conjugacy classes of subgroups — too many to draw. Only its 294 normal subgroups are shown.

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

μ_t(G) = 648

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

maximal subgroup of	C₂²×D₃×#6900, D₃×#611⋊C₉
maximal normal subgroup of	C₂²×D₃×#6900, D₃×#611⋊C₉

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1944, 2853);