C₂×C₂₈₄₃ #19151007

order	5686
nilpotency class	1
isoclinism	isoclinic class of C₁
automorphism	Aut(G) = C₂×C₂₉×C₄₉ (order 2842) · Inn(G) = C₁ · Out(G) = C₂×C₂₉×C₄₉
homology	Abelianization (H₁) = G · Schur multiplier (H₂) = C₁

Aliases

cyclic	C₅₆₈₆
abelian	C₂×C₂₈₄₃

4 conjugacy classes of subgroups.

5686 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(5686, 2);