C₇×C₁₂₅₉ #22578747

order	8813
nilpotency class	1
isoclinism	isoclinic class of C₁
automorphism	Aut(G) = C₂²×C₃×C₁₇×C₃₇ (order 7548) · Inn(G) = C₁ · Out(G) = C₂²×C₃×C₁₇×C₃₇
homology	Abelianization (H₁) = G · Schur multiplier (H₂) = C₁

Aliases

cyclic	C₈₈₁₃
abelian	C₇×C₁₂₅₉

4 conjugacy classes of subgroups.

8813 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(8813, 1);