2-Transitive groups has been classified. The complete table has been mentioned in this Textbook ( see e.g., Table 7.3 and Table 7.4, page no. 194-197). Table 7.3 contains Affine 2-transitive groups and Table 7.4 contains Almost Simple 2-transitive groups.
Question
Consider only first 6 entries of the Table 7.3. Which groups out of these 6 are non-solvable ?
Note Refer this for the definition of 2-transitive group and this for the definition of solvable group.