C₂³×C₂²⋊#10624382 #37550692

order	23168
automorphism	?
homology	Abelianization (H₁) = C₂⁴×C₄ · Schur multiplier (H₂) = C₂¹¹

Aliases

direct product	C₂³×C₂²⋊#10624382
unambiguous semidirect product	D₁₈₁⋊(C₂²×C₂²⋊C₄)
unambiguous semidirect product	(C₂×#10624382)⋊C₂⁴

Fitting	C₂⁵×C₁₈₁ ⋊ C₄
Sylow	C₁₈₁ ⋊ C₂³×C₂²⋊C₄

4632 conjugacy classes of subgroups; only the 1106 normal subgroups are shown.

normal subgroups only

This group has 4632 conjugacy classes of subgroups — too many to draw. Only its 1106 normal subgroups are shown.

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

μ_t(G) = 5792

1520 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(23168, 21481);