C₃×C₂₇₇₇ #22552302

order	8331
nilpotency class	1
isoclinism	isoclinic class of C₁
automorphism	Aut(G) = C₂×C₈×C₃₄₇ (order 5552) · Inn(G) = C₁ · Out(G) = C₂×C₈×C₃₄₇
homology	Abelianization (H₁) = G · Schur multiplier (H₂) = C₁

Aliases

cyclic	C₈₃₃₁
abelian	C₃×C₂₇₇₇

4 conjugacy classes of subgroups.

8331 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(8331, 1);