C₁₃×C₆₄₁ #22552307

order	8333
nilpotency class	1
isoclinism	isoclinic class of C₁
automorphism	Aut(G) = C₃×C₄×C₅×C₁₂₈ (order 7680) · Inn(G) = C₁ · Out(G) = C₃×C₄×C₅×C₁₂₈
homology	Abelianization (H₁) = G · Schur multiplier (H₂) = C₁

Aliases

cyclic	C₈₃₃₃
abelian	C₁₃×C₆₄₁

4 conjugacy classes of subgroups.

8333 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(8333, 1);