C₄×C₂²⋊Q₈×D₆₁ #29838455

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

Aliases

C₄×C₂²⋊Q₈×D₆₁

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

3854 conjugacy classes of subgroups.

μ_t(G) = 3904

1792 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(15616, 328010);