Q₈⋊C₁₆×D₈₃ #35314201

order	21248
automorphism	?
homology	Abelianization (H₁) = C₂²×C₁₆ · Schur multiplier (H₂) = C₂³

Aliases

Q₈⋊C₁₆×D₈₃

Fitting	C₈₃×Q₈⋊C₁₆ ⋊ C₂
Sylow	C₈₃ ⋊ C₂×Q₈⋊C₁₆

382 conjugacy classes of subgroups.

μ_t(G) = 10624

2408 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(21248, 79365);