C₄²×C₈×D₈₉ #36551746

order	22784
automorphism	?
homology	Abelianization (H₁) = C₂×C₄²×C₈ · Schur multiplier (H₂) = C₂³×C₄³

Aliases

C₄²×C₈×D₈₉

Fitting	C₄²×C₈×C₈₉ ⋊ C₂
derived, Sylow	C₈₉ ⋊ C₂×C₄²×C₈

2046 conjugacy classes of subgroups; only the 1227 normal subgroups are shown.

normal subgroups only

This group has 2046 conjugacy classes of subgroups — too many to draw. Only its 1227 normal subgroups are shown.

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

μ_t(G) = 11392

5888 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(22784, 166886);