C₃×C₃₀₀₁ #22583012

order	9003
nilpotency class	1
isoclinism	isoclinic class of C₁
automorphism	Aut(G) = C₂×C₃×C₈×C₁₂₅ (order 6000) · Inn(G) = C₁ · Out(G) = C₂×C₃×C₈×C₁₂₅
homology	Abelianization (H₁) = G · Schur multiplier (H₂) = C₁

Aliases

cyclic	C₉₀₀₃
abelian	C₃×C₃₀₀₁

4 conjugacy classes of subgroups.

9003 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(9003, 2);