C₈₉×#14336 #36392184

order	22784
nilpotency class	2
automorphism	?
homology	Abelianization (H₁) = C₂³×C₄×C₈₉ · Schur multiplier (H₂) = C₂⁹

Aliases

3998 conjugacy classes of subgroups; only the 702 normal subgroups are shown.

normal subgroups only

This group has 3998 conjugacy classes of subgroups — too many to draw. Only its 702 normal subgroups are shown.

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

μ_t(G) = 11392

5696 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(22784, 7324);