C₃×C₂₈₄₃ #22555366

order	8529
nilpotency class	1
isoclinism	isoclinic class of C₁
automorphism	Aut(G) = C₂²×C₂₉×C₄₉ (order 5684) · Inn(G) = C₁ · Out(G) = C₂²×C₂₉×C₄₉
homology	Abelianization (H₁) = G · Schur multiplier (H₂) = C₁

Aliases

cyclic	C₈₅₂₉
abelian	C₃×C₂₈₄₃

4 conjugacy classes of subgroups.

8529 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(8529, 1);