C₃×C₂₈₁₉ #22554848

order	8457
nilpotency class	1
isoclinism	isoclinic class of C₁
automorphism	Aut(G) = C₂²×C₁₄₀₉ (order 5636) · Inn(G) = C₁ · Out(G) = C₂²×C₁₄₀₉
homology	Abelianization (H₁) = G · Schur multiplier (H₂) = C₁

Aliases

cyclic	C₈₄₅₇
abelian	C₃×C₂₈₁₉

4 conjugacy classes of subgroups.

8457 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(8457, 1);