Q₃₂×C₂²⋊D₇₁ #32154176

order	18176
automorphism	?
homology	Abelianization (H₁) = C₂⁴ · Schur multiplier (H₂) = C₂⁵

Aliases

Q₃₂×C₂²⋊D₇₁

Fitting	C₂²×Q₃₂×C₇₁ ⋊ C₂
Sylow	C₇₁ ⋊ D₄×Q₃₂

664 conjugacy classes of subgroups.

μ_t(G) = 9088

1595 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(18176, 326292);