C₁₁×C₇₄₃ #22551096

order	8173
nilpotency class	1
isoclinism	isoclinic class of C₁
automorphism	Aut(G) = C₂²×C₅×C₇×C₅₃ (order 7420) · Inn(G) = C₁ · Out(G) = C₂²×C₅×C₇×C₅₃
homology	Abelianization (H₁) = G · Schur multiplier (H₂) = C₁

Aliases

cyclic	C₈₁₇₃
abelian	C₁₁×C₇₄₃

4 conjugacy classes of subgroups.

8173 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(8173, 1);