C₃×C₄⋊(D₉⋊C₉) #14517292

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

Aliases

direct product	C₃×C₄⋊(D₉⋊C₉)
unambiguous semidirect product	C₄⋊(C₃×D₉⋊C₉)
unambiguous semidirect product	(C₃×D₃₆)⋊C₉

Fitting	C₃×C₄×C₉⋊C₉ ⋊ C₂
Sylow	C₃×C₉⋊C₉ ⋊ D₄

330 conjugacy classes of subgroups; only the 108 normal subgroups are shown.

normal subgroups only

This group has 330 conjugacy classes of subgroups — too many to draw. Only its 108 normal subgroups are shown.

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

μ_t(G) = 216

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1944, 1686);