C₃×C₂₃₃₃ #20296192

order	6999
nilpotency class	1
isoclinism	isoclinic class of C₁
automorphism	Aut(G) = C₂×C₄×C₁₁×C₅₃ (order 4664) · Inn(G) = C₁ · Out(G) = C₂×C₄×C₁₁×C₅₃
homology	Abelianization (H₁) = G · Schur multiplier (H₂) = C₁

Aliases

cyclic	C₆₉₉₉
abelian	C₃×C₂₃₃₃

4 conjugacy classes of subgroups.

6999 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(6999, 1);