C₄×Q₃₂×D₈₃ #35557675

order	21248
automorphism	?
homology	Abelianization (H₁) = C₂³×C₄ · Schur multiplier (H₂) = C₂⁵

Aliases

C₄×Q₃₂×D₈₃

Fitting	C₄×Q₃₂×C₈₃ ⋊ C₂
Sylow	C₈₃ ⋊ C₂×C₄×Q₃₂

678 conjugacy classes of subgroups.

μ_t(G) = 10624

1892 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(21248, 322839);