C₁₇×C₄₉₁ #22552496

order	8347
nilpotency class	1
isoclinism	isoclinic class of C₁
automorphism	Aut(G) = C₂×C₅×C₁₆×C₄₉ (order 7840) · Inn(G) = C₁ · Out(G) = C₂×C₅×C₁₆×C₄₉
homology	Abelianization (H₁) = G · Schur multiplier (H₂) = C₁

Aliases

cyclic	C₈₃₄₇
abelian	C₁₇×C₄₉₁

4 conjugacy classes of subgroups.

8347 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(8347, 1);