C₂₉×C₂₇₁ #21463382

order	7859
nilpotency class	1
isoclinism	isoclinic class of C₁
automorphism	Aut(G) = C₂×C₄×C₅×C₇×C₂₇ (order 7560) · Inn(G) = C₁ · Out(G) = C₂×C₄×C₅×C₇×C₂₇
homology	Abelianization (H₁) = G · Schur multiplier (H₂) = C₁

Aliases

cyclic	C₇₈₅₉
abelian	C₂₉×C₂₇₁

4 conjugacy classes of subgroups.

7859 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(7859, 1);