C₁₇×C₅₀₉ #22575792

order	8653
nilpotency class	1
isoclinism	isoclinic class of C₁
automorphism	Aut(G) = C₄×C₁₆×C₁₂₇ (order 8128) · Inn(G) = C₁ · Out(G) = C₄×C₁₆×C₁₂₇
homology	Abelianization (H₁) = G · Schur multiplier (H₂) = C₁

Aliases

cyclic	C₈₆₅₃
abelian	C₁₇×C₅₀₉

4 conjugacy classes of subgroups.

8653 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(8653, 1);