Q₈×#14519737 #29839872

order	15616
automorphism	?
homology	Abelianization (H₁) = C₂⁴×C₄ · Schur multiplier (H₂) = C₂⁹

Aliases

Fitting	Q₈×C₂²⋊C₄×C₆₁ ⋊ C₂
Sylow	C₆₁ ⋊ C₄×D₄×Q₈

3148 conjugacy classes of subgroups.

μ_t(G) = 7808

1600 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(15616, 329427);