C₄×#16839684 #29601869

order	15616
automorphism	?
homology	Abelianization (H₁) = C₂³×C₄ · Schur multiplier (H₂) = C₂⁶

Aliases

Fitting	C₂×C₄×C₄⋊C₄×C₆₁ ⋊ C₂
Sylow	C₆₁ ⋊ C₄×#396

1966 conjugacy classes of subgroups.

μ_t(G) = 7808

2488 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(15616, 91424);