C₂²×#19153885 #37550371

order	23168
automorphism	?
homology	Abelianization (H₁) = C₂³×C₄ · Schur multiplier (H₂) = C₂⁶

Aliases

direct product	C₂²×#19153885
unambiguous semidirect product	D₁₈₁⋊(C₂×#107)

Fitting	C₂²×C₈×C₁₈₁ ⋊ C₄
Sylow	C₁₈₁ ⋊ C₂²×#107

600 conjugacy classes of subgroups; only the 258 normal subgroups are shown.

normal subgroups only

This group has 600 conjugacy classes of subgroups — too many to draw. Only its 258 normal subgroups are shown.

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

μ_t(G) = 5792

1496 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(23168, 21160);