C₃×C₂₆₇₇ #22548569

order	8031
nilpotency class	1
isoclinism	isoclinic class of C₁
automorphism	Aut(G) = C₂×C₃×C₄×C₂₂₃ (order 5352) · Inn(G) = C₁ · Out(G) = C₂×C₃×C₄×C₂₂₃
homology	Abelianization (H₁) = G · Schur multiplier (H₂) = C₁

Aliases

cyclic	C₈₀₃₁
abelian	C₃×C₂₆₇₇

4 conjugacy classes of subgroups.

8031 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(8031, 2);