C₃₇×C₂₅₁ #22604687

order	9287
nilpotency class	1
isoclinism	isoclinic class of C₁
automorphism	Aut(G) = C₂×C₄×C₉×C₁₂₅ (order 9000) · Inn(G) = C₁ · Out(G) = C₂×C₄×C₉×C₁₂₅
homology	Abelianization (H₁) = G · Schur multiplier (H₂) = C₁

Aliases

cyclic	C₉₂₈₇
abelian	C₃₇×C₂₅₁

4 conjugacy classes of subgroups.

9287 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(9287, 1);