C₃×C₃₁₆₃ #23748749

order	9489
nilpotency class	1
isoclinism	isoclinic class of C₁
automorphism	Aut(G) = C₂²×C₃×C₁₇×C₃₁ (order 6324) · Inn(G) = C₁ · Out(G) = C₂²×C₃×C₁₇×C₃₁
homology	Abelianization (H₁) = G · Schur multiplier (H₂) = C₁

Aliases

cyclic	C₉₄₈₉
abelian	C₃×C₃₁₆₃

4 conjugacy classes of subgroups.

9489 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(9489, 2);