C₁₃×C₆₁₇ #22548489

order	8021
nilpotency class	1
isoclinism	isoclinic class of C₁
automorphism	Aut(G) = C₃×C₄×C₇×C₈×C₁₁ (order 7392) · Inn(G) = C₁ · Out(G) = C₃×C₄×C₇×C₈×C₁₁
homology	Abelianization (H₁) = G · Schur multiplier (H₂) = C₁

Aliases

cyclic	C₈₀₂₁
abelian	C₁₃×C₆₁₇

4 conjugacy classes of subgroups.

8021 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(8021, 1);