C₃×C₂₈₃₇ #22555232

order	8511
nilpotency class	1
isoclinism	isoclinic class of C₁
automorphism	Aut(G) = C₂×C₄×C₇₀₉ (order 5672) · Inn(G) = C₁ · Out(G) = C₂×C₄×C₇₀₉
homology	Abelianization (H₁) = G · Schur multiplier (H₂) = C₁

Aliases

cyclic	C₈₅₁₁
abelian	C₃×C₂₈₃₇

4 conjugacy classes of subgroups.

8511 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(8511, 1);