C₃×C₂₉₉₉ #22583000

order	8997
nilpotency class	1
isoclinism	isoclinic class of C₁
automorphism	Aut(G) = C₂²×C₁₄₉₉ (order 5996) · Inn(G) = C₁ · Out(G) = C₂²×C₁₄₉₉
homology	Abelianization (H₁) = G · Schur multiplier (H₂) = C₁

Aliases

cyclic	C₈₉₉₇
abelian	C₃×C₂₉₉₉

4 conjugacy classes of subgroups.

8997 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(8997, 1);