C₈×C₄⋊C₄×D₆₁ #29677939

order	15616
automorphism	?
homology	Abelianization (H₁) = C₂²×C₄×C₈ · Schur multiplier (H₂) = C₂⁵×C₄

Aliases

C₈×C₄⋊C₄×D₆₁

Fitting	C₈×C₄⋊C₄×C₆₁ ⋊ C₂
Sylow	C₆₁ ⋊ C₂×C₈×C₄⋊C₄

1438 conjugacy classes of subgroups.

μ_t(G) = 7808

2560 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(15616, 167494);