SD₁₆×C₂²⋊C₉ #10589558

order	576
automorphism	?
homology	Abelianization (H₁) = C₂²×C₉ · Schur multiplier (H₂) = C₂

Aliases

direct product	SD₁₆×C₂²⋊C₉
unambiguous semidirect product	(C₂²×SD₁₆)⋊C₉

C₂²×SD₁₆ ⋊ C₉

146 conjugacy classes of subgroups; only the 35 normal subgroups are shown.

normal subgroups only

This group has 146 conjugacy classes of subgroups — too many to draw. Only its 35 normal subgroups are shown.

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

μ_t(G) = 72

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(576, 1440);