C₈×#14519737 #29678322

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

Aliases

Fitting	C₈×C₂²⋊C₄×C₆₁ ⋊ C₂
Sylow	C₆₁ ⋊ C₄×C₈×D₄

1422 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, 167877);