Q₁₆×#13083551 #36570285

order	22784
automorphism	?
homology	Abelianization (H₁) = C₂³×C₄ · Schur multiplier (H₂) = C₂⁶

Aliases

Fitting	C₂×C₄×Q₁₆×C₈₉ ⋊ C₂
Sylow	C₈₉ ⋊ C₂²⋊C₄×Q₁₆

1398 conjugacy classes of subgroups.

μ_t(G) = 11392

2534 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(22784, 185425);