C₅×C₁₆₆₉ #22552483

order	8345
nilpotency class	1
isoclinism	isoclinic class of C₁
automorphism	Aut(G) = C₃×C₄²×C₁₃₉ (order 6672) · Inn(G) = C₁ · Out(G) = C₃×C₄²×C₁₃₉
homology	Abelianization (H₁) = G · Schur multiplier (H₂) = C₁

Aliases

cyclic	C₈₃₄₅
abelian	C₅×C₁₆₆₉

4 conjugacy classes of subgroups.

8345 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(8345, 1);