C₃×C₂₄₁₇ #20299771

order	7251
nilpotency class	1
isoclinism	isoclinic class of C₁
automorphism	Aut(G) = C₂×C₁₆×C₁₅₁ (order 4832) · Inn(G) = C₁ · Out(G) = C₂×C₁₆×C₁₅₁
homology	Abelianization (H₁) = G · Schur multiplier (H₂) = C₁

Aliases

cyclic	C₇₂₅₁
abelian	C₃×C₂₄₁₇

4 conjugacy classes of subgroups.

7251 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(7251, 1);