C₂²×#19153870 #37550272

order	23168
automorphism	?
homology	Abelianization (H₁) = C₂²×C₄² · Schur multiplier (H₂) = C₂⁶

Aliases

Fitting	C₂²×C₈×C₁₈₁ ⋊ C₄
Sylow	C₁₈₁ ⋊ C₂²×#97

680 conjugacy classes of subgroups; only the 338 normal subgroups are shown.

normal subgroups only

This group has 680 conjugacy classes of subgroups — too many to draw. Only its 338 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, 21061);