C₅×C₁₃₉₉ #20296160

order	6995
nilpotency class	1
isoclinism	isoclinic class of C₁
automorphism	Aut(G) = C₂×C₃×C₄×C₂₃₃ (order 5592) · Inn(G) = C₁ · Out(G) = C₂×C₃×C₄×C₂₃₃
homology	Abelianization (H₁) = G · Schur multiplier (H₂) = C₁

Aliases

cyclic	C₆₉₉₅
abelian	C₅×C₁₃₉₉

4 conjugacy classes of subgroups.

6995 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(6995, 1);