C₃×C₂₈₈₇ #22575950

order	8661
nilpotency class	1
isoclinism	isoclinic class of C₁
automorphism	Aut(G) = C₂²×C₃×C₁₃×C₃₇ (order 5772) · Inn(G) = C₁ · Out(G) = C₂²×C₃×C₁₃×C₃₇
homology	Abelianization (H₁) = G · Schur multiplier (H₂) = C₁

Aliases

cyclic	C₈₆₆₁
abelian	C₃×C₂₈₈₇

4 conjugacy classes of subgroups.

8661 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(8661, 2);