C₂²×#19151325 #36520769

order	22784
automorphism	?
homology	Abelianization (H₁) = C₂³×C₈ · Schur multiplier (H₂) = C₂⁷

Aliases

Fitting	C₂²×C₄⋊C₈×C₈₉ ⋊ C₂
Sylow	C₈₉ ⋊ C₂²×D₄⋊C₈

1886 conjugacy classes of subgroups.

μ_t(G) = 11392

3632 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(22784, 135909);