C₂×(C₉⋊A₄)⋊C₉ #14518372

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

Aliases

direct product	C₂×(C₉⋊A₄)⋊C₉
unambiguous semidirect product	(C₂×C₉⋊A₄)⋊C₉

Fitting	C₂³×C₉⋊C₉ ⋊ C₃
Sylow	C₂³ ⋊ C₉×3₋¹⁺²

364 conjugacy classes of subgroups; only the 142 normal subgroups are shown.

normal subgroups only

This group has 364 conjugacy classes of subgroups — too many to draw. Only its 142 normal subgroups are shown.

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

μ_t(G) = 486

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1944, 2766);