C₅×C₁₇₅₃ #22576835

order	8765
nilpotency class	1
isoclinism	isoclinic class of C₁
automorphism	Aut(G) = C₃×C₄×C₈×C₇₃ (order 7008) · Inn(G) = C₁ · Out(G) = C₃×C₄×C₈×C₇₃
homology	Abelianization (H₁) = G · Schur multiplier (H₂) = C₁

Aliases

cyclic	C₈₇₆₅
abelian	C₅×C₁₇₅₃

4 conjugacy classes of subgroups.

8765 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(8765, 1);