Q₈×#15667924 #36570941

order	22784
automorphism	?
homology	Abelianization (H₁) = C₂³×C₈ · Schur multiplier (H₂) = C₂⁶

Aliases

Fitting	C₂×C₈×Q₈×C₈₉ ⋊ C₂
Sylow	C₈₉ ⋊ Q₈×C₂²⋊C₈

1356 conjugacy classes of subgroups.

μ_t(G) = 11392

3620 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(22784, 186081);