C₃×C₂₅₅₇ #21440183

order	7671
nilpotency class	1
isoclinism	isoclinic class of C₁
automorphism	Aut(G) = C₂×C₄×C₉×C₇₁ (order 5112) · Inn(G) = C₁ · Out(G) = C₂×C₄×C₉×C₇₁
homology	Abelianization (H₁) = G · Schur multiplier (H₂) = C₁

Aliases

cyclic	C₇₆₇₁
abelian	C₃×C₂₅₅₇

4 conjugacy classes of subgroups.

7671 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(7671, 2);