C₃×C₂₇₁₉ #22550997

order	8157
nilpotency class	1
isoclinism	isoclinic class of C₁
automorphism	Aut(G) = C₂²×C₉×C₁₅₁ (order 5436) · Inn(G) = C₁ · Out(G) = C₂²×C₉×C₁₅₁
homology	Abelianization (H₁) = G · Schur multiplier (H₂) = C₁

Aliases

cyclic	C₈₁₅₇
abelian	C₃×C₂₇₁₉

4 conjugacy classes of subgroups.

8157 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(8157, 2);