C₂×M₁₆×C₂²⋊C₉ #11919777

order	1152
automorphism	?
homology	Abelianization (H₁) = C₂²×C₄×C₉ · Schur multiplier (H₂) = C₂³

Aliases

direct product	C₂×M₁₆×C₂²⋊C₉
unambiguous semidirect product	(C₂³×M₁₆)⋊C₉

C₂³×M₁₆ ⋊ C₉

732 conjugacy classes of subgroups; only the 150 normal subgroups are shown.

normal subgroups only

This group has 732 conjugacy classes of subgroups — too many to draw. Only its 150 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, 153788);