C₂²×C₃⋊D₃×3₋¹⁺² #14519365

order	1944
automorphism	?
homology	Abelianization (H₁) = C₂³×C₃² · Schur multiplier (H₂) = C₂³×C₃

Aliases

Fitting	C₂²×C₃²×3₋¹⁺² ⋊ C₂
Sylow	C₃²×3₋¹⁺² ⋊ C₂³

1368 conjugacy classes of subgroups; only the 287 normal subgroups are shown.

normal subgroups only

This group has 1368 conjugacy classes of subgroups — too many to draw. Only its 287 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×C₃⋊D₃×AGL(1,ℤ/9), 3₋¹⁺²×#3811, #72228860
maximal normal subgroup of	C₂²×C₃⋊D₃×AGL(1,ℤ/9), 3₋¹⁺²×#3811, #72228860

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1944, 3759);