C₅×C₁₇₀₉ #22555449

order	8545
nilpotency class	1
isoclinism	isoclinic class of C₁
automorphism	Aut(G) = C₄²×C₇×C₆₁ (order 6832) · Inn(G) = C₁ · Out(G) = C₄²×C₇×C₆₁
homology	Abelianization (H₁) = G · Schur multiplier (H₂) = C₁

Aliases

cyclic	C₈₅₄₅
abelian	C₅×C₁₇₀₉

4 conjugacy classes of subgroups.

8545 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(8545, 1);