SD₁₆×C₂₁₁⋊C₈ #41012199

order	27008
automorphism	?
homology	Abelianization (H₁) = C₂²×C₈ · Schur multiplier (H₂) = C₂²

Aliases

SD₁₆×C₂₁₁⋊C₈

C₂₁₁ ⋊ C₈×SD₁₆

180 conjugacy classes of subgroups; only the 89 normal subgroups are shown.

normal subgroups only

This group has 180 conjugacy classes of subgroups — too many to draw. Only its 89 normal subgroups are shown.

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

μ_t(G) = 13504

2996 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(27008, 3311);