D₄⋊C₈×D₁₈₁ #37532092

order	23168
automorphism	?
homology	Abelianization (H₁) = C₂²×C₈ · Schur multiplier (H₂) = C₂⁴

Aliases

D₄⋊C₈×D₁₈₁

Fitting	D₄⋊C₈×C₁₈₁ ⋊ C₂
Sylow	C₁₈₁ ⋊ C₂×D₄⋊C₈

344 conjugacy classes of subgroups; only the 97 normal subgroups are shown.

normal subgroups only

This group has 344 conjugacy classes of subgroups — too many to draw. Only its 97 normal subgroups are shown.

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

μ_t(G) = 5792

2576 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(23168, 2881);