C₃×C₂₇₀₇ #22549288

order	8121
nilpotency class	1
isoclinism	isoclinic class of C₁
automorphism	Aut(G) = C₂²×C₃×C₁₁×C₄₁ (order 5412) · Inn(G) = C₁ · Out(G) = C₂²×C₃×C₁₁×C₄₁
homology	Abelianization (H₁) = G · Schur multiplier (H₂) = C₁

Aliases

cyclic	C₈₁₂₁
abelian	C₃×C₂₇₀₇

4 conjugacy classes of subgroups.

8121 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(8121, 2);