C₄×#19152070 #36712661

order	22784
automorphism	?
homology	Abelianization (H₁) = C₂³×C₄² · Schur multiplier (H₂) = C₂⁸×C₄

Aliases

Fitting	C₄²×D₄×C₈₉ ⋊ C₂
Sylow	C₈₉ ⋊ C₄×#518

4186 conjugacy classes of subgroups.

μ_t(G) = 5696

3656 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(22784, 327801);