C₁₁×C₈₂₃ #22583452

order	9053
nilpotency class	1
isoclinism	isoclinic class of C₁
automorphism	Aut(G) = C₂²×C₃×C₅×C₁₃₇ (order 8220) · Inn(G) = C₁ · Out(G) = C₂²×C₃×C₅×C₁₃₇
homology	Abelianization (H₁) = G · Schur multiplier (H₂) = C₁

Aliases

cyclic	C₉₀₅₃
abelian	C₁₁×C₈₂₃

4 conjugacy classes of subgroups.

9053 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(9053, 1);