Here we consider primitive solvable subgroups corresponding the case e=4 from Table 2. In groups GL(4,67) and GL(4,71) these subgroups cannot be obtained by using IRREDSOL package, so we provide the list of generators of such subgroups obtained in MAGMA. Notice that in both groups there are two nonconjugate subgroups of type 21+4, we denote them by F1 and F2.

Output for subgroups of GL(4,3)

Output for subgroups of GL(4,5)

Output for subgroups of GL(4,7)

Output for subgroups of GL(4,11)

Output for subgroups of GL(4,13)

Output for subgroups of GL(4,17)

Output for subgroups of GL(4,19)

Output for subgroups of GL(4,23)

Output for subgroups of GL(4,29)

Output for subgroups of GL(4,31)

Output for subgroups of GL(4,37)

Output for subgroups of GL(4,41)

Output for subgroups of GL(4,43)

Output for subgroups of GL(4,47)

Output for subgroups of GL(4,53)

Output for subgroups of GL(4,59)

Output for subgroups of GL(4,61)

Output for subgroups of GL(8,3)

Output for subgroups of GL(8,5)

Output for subgroups of GL(8,7)

Output for subgroups of GL(8,11)

Output for subgroups of GL(8,13)

Output for subgroups of GL(12,3)

Output for subgroups of GL(12,5)

Output for subgroups of GL(16,3)

Output for subgroups of GL(20,3)

For groups GL(4,67) and GL(4,71) the list of generators of primitive solvable subgroups, containing representatives of all conjugacy classes of primitive solvable subgroups. Notice that there exist two nonconjugate subgroups F1 and F2 of type 21+4 and we provide the information and the results of calculations for both of them.

Generators of primitive solvable subgroups in GL(4,67), containing F1 (file generators-GL(4,67)+.txt)

Output for subgroups of GL(4,67), containing F1

Generators of primitive solvable subgroups in GL(4,67), containing F2 (file generators-GL(4,67)-.txt)

Output for subgroups of GL(4,67), containing F2

Generators of primitive solvable subgroups in GL(4,71), containing F1 (file generators-GL(4,71)+.txt)

Output for subgroups of GL(4,71), containing F1

Generators of primitive solvable subgroups in GL(4,71), containing F2 (file generators-GL(4,71)-.txt)

Output for subgroups of GL(4,71), containing F2