C₂²×C₈×#10624382 #37550269

order	23168
automorphism	?
homology	Abelianization (H₁) = C₂²×C₄×C₈ · Schur multiplier (H₂) = C₂⁵×C₄

Aliases

Fitting	C₂²×C₈×C₁₈₁ ⋊ C₄
derived, Sylow	C₁₈₁ ⋊ C₂²×C₄×C₈

760 conjugacy classes of subgroups; only the 418 normal subgroups are shown.

normal subgroups only

This group has 760 conjugacy classes of subgroups — too many to draw. Only its 418 normal subgroups are shown.

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

μ_t(G) = 5792

1568 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(23168, 21058);