C₃×C₂₉₀₉ #22576593

order	8727
nilpotency class	1
isoclinism	isoclinic class of C₁
automorphism	Aut(G) = C₂×C₄×C₇₂₇ (order 5816) · Inn(G) = C₁ · Out(G) = C₂×C₄×C₇₂₇
homology	Abelianization (H₁) = G · Schur multiplier (H₂) = C₁

Aliases

cyclic	C₈₇₂₇
abelian	C₃×C₂₉₀₉

4 conjugacy classes of subgroups.

8727 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(8727, 1);