C₃×C₂₅₅₁ #21440087

order	7653
nilpotency class	1
isoclinism	isoclinic class of C₁
automorphism	Aut(G) = C₂²×C₃×C₁₇×C₂₅ (order 5100) · Inn(G) = C₁ · Out(G) = C₂²×C₃×C₁₇×C₂₅
homology	Abelianization (H₁) = G · Schur multiplier (H₂) = C₁

Aliases

cyclic	C₇₆₅₃
abelian	C₃×C₂₅₅₁

4 conjugacy classes of subgroups.

7653 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(7653, 2);