C₂²×#19151377 #36707092

order	22784
automorphism	?
homology	Abelianization (H₁) = C₂³×C₁₆ · Schur multiplier (H₂) = C₂⁷

Aliases

Fitting	C₂³×C₁₆×C₈₉ ⋊ C₂
Sylow	C₈₉ ⋊ C₂²×C₂²⋊C₁₆

1470 conjugacy classes of subgroups.

μ_t(G) = 11392

5792 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(22784, 322232);