C₄×#19151377 #36469456

order	22784
automorphism	?
homology	Abelianization (H₁) = C₂×C₄×C₁₆ · Schur multiplier (H₂) = C₂³×C₄

Aliases

Fitting	C₂×C₄×C₁₆×C₈₉ ⋊ C₂
Sylow	C₈₉ ⋊ C₄×C₂²⋊C₁₆

614 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, 84596);