Fix an error in calculating subgroup lattices of nonsolvable groups was fixed. This error could lead to subgroups being omitted. #5475
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This fixes an error in finding the perfect subgroups and removes the error case for larger groups by recursing through maximal subgroups.
Also fixed name of .tst file (that was erroneously named .txt)
Text for release notes
An error in calculating subgroup lattices of nonsolvable groups was fixed. This error could lead to subgroups being omitted.