Q₃₂×C₂²⋊D₆₁ #29836737

order	15616
automorphism	?
homology	Abelianization (H₁) = C₂⁴ · Schur multiplier (H₂) = C₂⁵

Aliases

Q₃₂×C₂²⋊D₆₁

Fitting	C₂²×Q₃₂×C₆₁ ⋊ C₂
Sylow	C₆₁ ⋊ D₄×Q₃₂

664 conjugacy classes of subgroups.

μ_t(G) = 7808

1375 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(15616, 326292);