Group 5T1
Name 5T1 = C(5) Order 5 Soluble yes Primitive yes Generators (1,2,3,4,5) Test Polynomials X^5-X^4-4*X^3+3*X^2+3*X-1

Group 5T2
Name 5T2 = D(5) Order 5 Soluble yes Primitive yes Generators (1,4)(2,3), (1,2,3,4,5) Test Polynomials X^5-2*X^4+2*X^3-X^2+1, X^5-X^4-5*X^3+4*X^2+3*X-1

Group 5T3
Name 5T3 = F(5) Order 5 Soluble yes Primitive yes Generators (1,2,3,4,5), (1,2,4,3) Test Polynomials X^5-9*X^3-4*X^2+17*X+12, X^5-X^4+2*X^3-4*X^2+X-1

Group 5T4
Name 5T4 = A(5) Order 5 Soluble no Primitive yes Generators (1,2,5), (2,3,5), (3,4,5) Test Polynomials X^5-X^4+2*X^2-2*X+2, X^5-X^4-11*X^3+X^2+12*X-4

Group 5T5
Name 5T5 = S(5) Order 5 Soluble no Primitive yes Generators (1,5), (2,5), (3,5), (4,5) Test Polynomials X^5-X^3-2*X^2+1, X^5-X^4-X^3+X^2-1, X^5-2*X^4-3*X^3+6*X^2-1