C₂²×C₄×C₈×D₆₁ #30543391

order	15616
automorphism	?
homology	Abelianization (H₁) = C₂³×C₄×C₈ · Schur multiplier (H₂) = C₂⁹×C₄

Aliases

C₂²×C₄×C₈×D₆₁

Fitting	C₂²×C₄×C₈×C₆₁ ⋊ C₂
derived, Sylow	C₆₁ ⋊ C₂³×C₄×C₈

4638 conjugacy classes of subgroups.

μ_t(G) = 7808

4096 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(15616, 1032946);