3₋¹⁺²×C₃⋊(C₃⋊C₈) #14517872

order	1944
automorphism	?
homology	Abelianization (H₁) = C₃²×C₈ · Schur multiplier (H₂) = C₃

Aliases

direct product	3₋¹⁺²×C₃⋊(C₃⋊C₈)
unambiguous semidirect product	C₃⋊(C₃⋊C₈×3₋¹⁺²)

552 conjugacy classes of subgroups; only the 133 normal subgroups are shown.

normal subgroups only

This group has 552 conjugacy classes of subgroups — too many to draw. Only its 133 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.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1944, 2266);