C₅×C₁₃₆₇ #20292017

order	6835
nilpotency class	1
isoclinism	isoclinic class of C₁
automorphism	Aut(G) = C₂×C₄×C₆₈₃ (order 5464) · Inn(G) = C₁ · Out(G) = C₂×C₄×C₆₈₃
homology	Abelianization (H₁) = G · Schur multiplier (H₂) = C₁

Aliases

cyclic	C₆₈₃₅
abelian	C₅×C₁₃₆₇

4 conjugacy classes of subgroups.

6835 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(6835, 1);