C₂²×D₉×3₋¹⁺² #14518463

order	1944
automorphism	?
homology	Abelianization (H₁) = C₂³×C₃² · Schur multiplier (H₂) = C₂³

Aliases

C₂²×D₉×3₋¹⁺²

Fitting	C₂²×C₉×3₋¹⁺² ⋊ C₂
Sylow	C₉×3₋¹⁺² ⋊ C₂³

509 conjugacy classes of subgroups; only the 182 normal subgroups are shown.

normal subgroups only

This group has 509 conjugacy classes of subgroups — too many to draw. Only its 182 normal subgroups are shown.

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

μ_t(G) = 216

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

maximal subgroup of	C₂²×D₉×AGL(1,ℤ/9)
maximal normal subgroup of	C₂²×D₉×AGL(1,ℤ/9)

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1944, 2857);