C₄×#16840466 #29839977

order	15616
automorphism	?
homology	Abelianization (H₁) = C₂⁴×C₄ · Schur multiplier (H₂) = C₂⁸

Aliases

Fitting	C₄×C₂²⋊Q₈×C₆₁ ⋊ C₂
Sylow	C₆₁ ⋊ C₄×#554

2516 conjugacy classes of subgroups.

μ_t(G) = 7808

1780 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(15616, 329532);