C₂×C₅₀₄₁ #23758607

order	10082
nilpotency class	1
isoclinism	isoclinic class of C₁
automorphism	Aut(G) = C₂×C₅×C₇×C₇₁ (order 4970) · Inn(G) = C₁ · Out(G) = C₂×C₅×C₇×C₇₁
homology	Abelianization (H₁) = G · Schur multiplier (H₂) = C₁

Aliases

cyclic	C₁₀₀₈₂
abelian	C₂×C₅₀₄₁

6 conjugacy classes of subgroups.

10082 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(10082, 2);