C₃×C₂₉₀₃ #22576536

order	8709
nilpotency class	1
isoclinism	isoclinic class of C₁
automorphism	Aut(G) = C₂²×C₁₄₅₁ (order 5804) · Inn(G) = C₁ · Out(G) = C₂²×C₁₄₅₁
homology	Abelianization (H₁) = G · Schur multiplier (H₂) = C₁

Aliases

cyclic	C₈₇₀₉
abelian	C₃×C₂₉₀₃

4 conjugacy classes of subgroups.

8709 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(8709, 1);