C₅×C₁₅₄₃ #21440757

order	7715
nilpotency class	1
isoclinism	isoclinic class of C₁
automorphism	Aut(G) = C₂×C₃×C₄×C₂₅₇ (order 6168) · Inn(G) = C₁ · Out(G) = C₂×C₃×C₄×C₂₅₇
homology	Abelianization (H₁) = G · Schur multiplier (H₂) = C₁

Aliases

cyclic	C₇₇₁₅
abelian	C₅×C₁₅₄₃

4 conjugacy classes of subgroups.

7715 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(7715, 1);