C₄×#19151325 #36445023

order	22784
automorphism	?
homology	Abelianization (H₁) = C₂×C₄×C₈ · Schur multiplier (H₂) = C₂³×C₄

Aliases

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

774 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, 60163);