C₂×D₈×C₂²⋊C₉ #11919787

order	1152
automorphism	?
homology	Abelianization (H₁) = C₂³×C₉ · Schur multiplier (H₂) = C₂⁴

Aliases

direct product	C₂×D₈×C₂²⋊C₉
unambiguous semidirect product	(C₂³×D₈)⋊C₉

C₂³×D₈ ⋊ C₉

836 conjugacy classes of subgroups; only the 110 normal subgroups are shown.

normal subgroups only

This group has 836 conjugacy classes of subgroups — too many to draw. Only its 110 normal subgroups are shown.

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

μ_t(G) = 144

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1152, 153798);