Generators of primitive linear groups with e=9

In this case we consider primitive solvable subgroups in GL(18,2), GL(36,2), GL(9,7). GL(9,13), GL(9,19), and GL(18,25) with normal subgroup of type 3¹⁺⁴.

The list of subgroups in GL(18,2) and GL(9,4) (GL(9,4) is using to produce primitive solvable subgroups of GL(36,2)) containing all primitive solvable subgroups can be obtained by using IRREDSOL package, so in this case we provide the GAP output with comments.

Output for subgroups of GL(18,2)

Output for subgroups of GL(36,2)

For the remaining groups we provide the list of generators of primitive solvable subgroups, containing representatives of all conjugacy classes of primitive solvable subgroups.

Generators of primitive solvable subgroups in GL(9,7)(file generators-GL(9,7).txt)		Output for subgroups of GL(9,7)
Generators of primitive solvable subgroups in GL(9,13)(file generators-GL(9,13).txt)		Output for subgroups of GL(9,13)
Generators of primitive solvable subgroups in GL(9,19) (file generators-GL(9,19).txt)		Output for subgroups of GL(9,19)
Generators of primitive solvable subgroups in GL(9,25)(file generators-GL(9,25).txt)		Output for subgroups of GL(18,5)

In this case we consider primitive solvable subgroups in GL(18,2), GL(36,2), GL(9,7). GL(9,13), GL(9,19), and GL(18,25) with normal subgroup of type 31+4.

In this case we consider primitive solvable subgroups in GL(18,2), GL(36,2), GL(9,7). GL(9,13), GL(9,19), and GL(18,25) with normal subgroup of type 3¹⁺⁴.