C₈₃×C₉₇ #22548908

order	8051
nilpotency class	1
isoclinism	isoclinic class of C₁
automorphism	Aut(G) = C₂×C₃×C₃₂×C₄₁ (order 7872) · Inn(G) = C₁ · Out(G) = C₂×C₃×C₃₂×C₄₁
homology	Abelianization (H₁) = G · Schur multiplier (H₂) = C₁

Aliases

cyclic	C₈₀₅₁
abelian	C₈₃×C₉₇

4 conjugacy classes of subgroups.

8051 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(8051, 1);