Group 4T1
Name 4T1 = C(4) Order 4 Soluble yes Primitive no Generators (1,2,3,4) Test Polynomials X^4-X^3+X^2-X+1, X^4-X^3-4*X^2+4*X+1

Group 4T2
Name 4T2 = E(4) Order 4 Soluble yes Primitive no Generators (1,2)(3,4), (1,4)(2,3) Test Polynomials X^4-X^2+1, X^4-6*X^2+4

Group 4T3
Name 4T3 = D(4) Order 4 Soluble yes Primitive no Generators (1,3), (1,2,3,4) Test Polynomials X^4-2*X^3+X-1, X^4-X^3+3*X^2-2*X+4, X^4-X^3-X^2+X+1, X^4-X^3-3*X^2+X+1

Group 4T4
Name 4T4 = A(4) Order 4 Soluble yes Primitive yes Generators (2,3,4), (1,2,4) Test Polynomials X^4-2*X^3+2*X^2+2, X^4-X^3-7*X^2+2*X+9

Group 4T5
Name 4T5 = S(4) Order 4 Soluble yes Primitive yes Generators (1,4), (2,4), (3,4) Test Polynomials X^4-X^3+1, X^4-X^3-1, X^4-4*X^2-X+1