C₃×C₂₈₉₇ #22576321

order	8691
nilpotency class	1
isoclinism	isoclinic class of C₁
automorphism	Aut(G) = C₂×C₁₆×C₁₈₁ (order 5792) · Inn(G) = C₁ · Out(G) = C₂×C₁₆×C₁₈₁
homology	Abelianization (H₁) = G · Schur multiplier (H₂) = C₁

Aliases

cyclic	C₈₆₉₁
abelian	C₃×C₂₈₉₇

4 conjugacy classes of subgroups.

8691 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(8691, 1);