C₈₃×C₁₀₁ #22552763

order	8383
nilpotency class	1
isoclinism	isoclinic class of C₁
automorphism	Aut(G) = C₂×C₄×C₂₅×C₄₁ (order 8200) · Inn(G) = C₁ · Out(G) = C₂×C₄×C₂₅×C₄₁
homology	Abelianization (H₁) = G · Schur multiplier (H₂) = C₁

Aliases

cyclic	C₈₃₈₃
abelian	C₈₃×C₁₀₁

4 conjugacy classes of subgroups.

8383 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(8383, 1);