Q₈×C₂²⋊C₄×D₈₃ #35563589

order	21248
automorphism	?
homology	Abelianization (H₁) = C₂⁴×C₄ · Schur multiplier (H₂) = C₂¹⁰

Aliases

Q₈×C₂²⋊C₄×D₈₃

Fitting	Q₈×C₂²⋊C₄×C₈₃ ⋊ C₂
Sylow	C₈₃ ⋊ C₂×Q₈×C₂²⋊C₄

5414 conjugacy classes of subgroups.

μ_t(G) = 5312

2150 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(21248, 328753);