C₄×C₈×#10624382 #37549372

order	23168
automorphism	?
homology	Abelianization (H₁) = C₄²×C₈ · Schur multiplier (H₂) = C₄³

Aliases

Fitting	C₄×C₈×C₁₈₁ ⋊ C₄
derived, Sylow	C₁₈₁ ⋊ C₄²×C₈

408 conjugacy classes of subgroups; only the 226 normal subgroups are shown.

normal subgroups only

This group has 408 conjugacy classes of subgroups — too many to draw. Only its 226 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, 20161);