C₂²×(C₂×#10624382)⋊C₄ #37550147

order	23168
automorphism	?
homology	Abelianization (H₁) = C₂²×C₄² · Schur multiplier (H₂) = C₂⁸

Aliases

direct product	C₂²×(C₂×#10624382)⋊C₄
unambiguous semidirect product	D₁₈₁⋊(C₂×#95)

Fitting	C₂³×C₄×C₁₈₁ ⋊ C₄
Sylow	C₁₈₁ ⋊ C₂²×#95

1880 conjugacy classes of subgroups; only the 634 normal subgroups are shown.

normal subgroups only

This group has 1880 conjugacy classes of subgroups — too many to draw. Only its 634 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, 20936);