S5: |G| = 120; 154 soluble subgroups; perfect subgroup classes found: [60] (0.1s)
  |P| = 60  |H| = 60     h*(H) = 1  s_p: 2:2 3:2 5:2 7:2
  |P| = 60  |H| = 120    h*(H) = 2  s_p: 2:2 3:3 5:3 7:3
S5: 2 non-soluble subgroup classes tested (all with the listed perfect residuals), 0 violations, 1 tight; 0.1s
GL25: |G| = 480; 463 soluble subgroups; perfect subgroup classes found: [120] (0.4s)
  |P| = 120  |H| = 120    h*(H) = 1  s_p: 2:- 3:2 5:2 7:2
  |P| = 120  |H| = 240    h*(H) = 1  s_p: 2:- 3:2 5:2 7:2
  |P| = 120  |H| = 480    h*(H) = 2  s_p: 2:- 3:3 5:3 7:3
GL25: 3 non-soluble subgroup classes tested (all with the listed perfect residuals), 0 violations, 0 tight; 0.4s
A5xS4: |G| = 1440; 4268 soluble subgroups; perfect subgroup classes found: [60] (0.9s)
  |P| = 60  |H| = 60     h*(H) = 1  s_p: 2:2 3:2 5:2 7:2
  |P| = 60  |H| = 120    h*(H) = 1  s_p: 2:- 3:2 5:2 7:2
  |P| = 60  |H| = 120    h*(H) = 1  s_p: 2:- 3:2 5:2 7:2
  |P| = 60  |H| = 180    h*(H) = 1  s_p: 2:2 3:- 5:2 7:2
  |P| = 60  |H| = 360    h*(H) = 2  s_p: 2:2 3:- 5:2 7:2
  |P| = 60  |H| = 240    h*(H) = 1  s_p: 2:- 3:2 5:2 7:2
  |P| = 60  |H| = 480    h*(H) = 1  s_p: 2:- 3:2 5:2 7:2
  |P| = 60  |H| = 240    h*(H) = 1  s_p: 2:- 3:2 5:2 7:2
  |P| = 60  |H| = 240    h*(H) = 1  s_p: 2:- 3:2 5:2 7:2
  |P| = 60  |H| = 720    h*(H) = 2  s_p: 2:- 3:2 5:2 7:2
  |P| = 60  |H| = 1440   h*(H) = 3  s_p: 2:- 3:3 5:3 7:3
A5xS4: 11 non-soluble subgroup classes tested (all with the listed perfect residuals), 0 violations, 9 tight; 1.2s
2^4:S5perm: |G| = 1920; 6663 soluble subgroups; perfect subgroup classes found: [60, 960] (1.5s)
  |P| = 960  |H| = 960    h*(H) = 2  s_p: 2:- 3:3 5:3 7:3
  |P| = 960  |H| = 1920   h*(H) = 3  s_p: 2:- 3:3 5:3 7:3
  |P| = 60  |H| = 60     h*(H) = 1  s_p: 2:2 3:2 5:2 7:2
  |P| = 60  |H| = 120    h*(H) = 2  s_p: 2:2 3:3 5:3 7:3
2^4:S5perm: 4 non-soluble subgroup classes tested (all with the listed perfect residuals), 0 violations, 4 tight; 1.8s
A5xA5: |G| = 3600; 8144 soluble subgroups; perfect subgroup classes found: [60, 60, 60, 60, 3600] (2.2s)
  |P| = 60  |H| = 60     h*(H) = 1  s_p: 2:2 3:2 5:2 7:2
  |P| = 60  |H| = 300    h*(H) = 1  s_p: 2:2 3:2 5:- 7:2
  |P| = 60  |H| = 180    h*(H) = 1  s_p: 2:2 3:- 5:2 7:2
  |P| = 60  |H| = 120    h*(H) = 1  s_p: 2:- 3:2 5:2 7:2
  |P| = 60  |H| = 240    h*(H) = 1  s_p: 2:- 3:2 5:2 7:2
  |P| = 60  |H| = 720    h*(H) = 2  s_p: 2:- 3:2 5:2 7:2
  |P| = 60  |H| = 360    h*(H) = 2  s_p: 2:2 3:- 5:2 7:2
  |P| = 60  |H| = 600    h*(H) = 2  s_p: 2:2 3:2 5:- 7:2
  |P| = 60  |H| = 60     h*(H) = 1  s_p: 2:2 3:2 5:2 7:2
  |P| = 60  |H| = 300    h*(H) = 1  s_p: 2:2 3:2 5:- 7:2
  |P| = 60  |H| = 180    h*(H) = 1  s_p: 2:2 3:- 5:2 7:2
  |P| = 60  |H| = 120    h*(H) = 1  s_p: 2:- 3:2 5:2 7:2
  |P| = 60  |H| = 240    h*(H) = 1  s_p: 2:- 3:2 5:2 7:2
  |P| = 60  |H| = 720    h*(H) = 2  s_p: 2:- 3:2 5:2 7:2
  |P| = 60  |H| = 360    h*(H) = 2  s_p: 2:2 3:- 5:2 7:2
  |P| = 60  |H| = 600    h*(H) = 2  s_p: 2:2 3:2 5:- 7:2
  |P| = 3600  |H| = 3600   h*(H) = 1  s_p: 2:2 3:2 5:2 7:2
  |P| = 60  |H| = 60     h*(H) = 1  s_p: 2:2 3:2 5:2 7:2
  |P| = 60  |H| = 60     h*(H) = 1  s_p: 2:2 3:2 5:2 7:2
A5xA5: 19 non-soluble subgroup classes tested (all with the listed perfect residuals), 0 violations, 18 tight; 2.7s
A5wrC2: |G| = 7200; 14786 soluble subgroups; perfect subgroup classes found: [60, 60, 60, 3600] (6.0s)
  |P| = 60  |H| = 60     h*(H) = 1  s_p: 2:2 3:2 5:2 7:2
  |P| = 60  |H| = 300    h*(H) = 1  s_p: 2:2 3:2 5:- 7:2
  |P| = 60  |H| = 180    h*(H) = 1  s_p: 2:2 3:- 5:2 7:2
  |P| = 60  |H| = 120    h*(H) = 1  s_p: 2:- 3:2 5:2 7:2
  |P| = 60  |H| = 240    h*(H) = 1  s_p: 2:- 3:2 5:2 7:2
  |P| = 60  |H| = 720    h*(H) = 2  s_p: 2:- 3:2 5:2 7:2
  |P| = 60  |H| = 360    h*(H) = 2  s_p: 2:2 3:- 5:2 7:2
  |P| = 60  |H| = 600    h*(H) = 2  s_p: 2:2 3:2 5:- 7:2
  |P| = 3600  |H| = 3600   h*(H) = 1  s_p: 2:2 3:2 5:2 7:2
  |P| = 3600  |H| = 7200   h*(H) = 2  s_p: 2:2 3:3 5:3 7:3
  |P| = 60  |H| = 60     h*(H) = 1  s_p: 2:2 3:2 5:2 7:2
  |P| = 60  |H| = 120    h*(H) = 1  s_p: 2:- 3:2 5:2 7:2
  |P| = 60  |H| = 60     h*(H) = 1  s_p: 2:2 3:2 5:2 7:2
  |P| = 60  |H| = 120    h*(H) = 2  s_p: 2:2 3:3 5:3 7:3
A5wrC2: 14 non-soluble subgroup classes tested (all with the listed perfect residuals), 0 violations, 11 tight; 6.6s
A5A5diag2: |G| = 7200; 25812 soluble subgroups; perfect subgroup classes found: [60, 60, 60, 60, 3600] (6.5s)
  |P| = 60  |H| = 60     h*(H) = 1  s_p: 2:2 3:2 5:2 7:2
  |P| = 60  |H| = 300    h*(H) = 1  s_p: 2:2 3:2 5:- 7:2
  |P| = 60  |H| = 120    h*(H) = 1  s_p: 2:- 3:2 5:2 7:2
  |P| = 60  |H| = 120    h*(H) = 2  s_p: 2:2 3:3 5:3 7:3
  |P| = 60  |H| = 180    h*(H) = 1  s_p: 2:2 3:- 5:2 7:2
  |P| = 60  |H| = 360    h*(H) = 2  s_p: 2:2 3:- 5:3 7:3
  |P| = 60  |H| = 360    h*(H) = 2  s_p: 2:2 3:- 5:3 7:3
  |P| = 60  |H| = 360    h*(H) = 2  s_p: 2:2 3:- 5:2 7:2
  |P| = 60  |H| = 720    h*(H) = 2  s_p: 2:2 3:- 5:3 7:3
  |P| = 60  |H| = 240    h*(H) = 2  s_p: 2:- 3:3 5:3 7:3
  |P| = 60  |H| = 480    h*(H) = 2  s_p: 2:- 3:3 5:3 7:3
  |P| = 60  |H| = 240    h*(H) = 1  s_p: 2:- 3:2 5:2 7:2
  |P| = 60  |H| = 240    h*(H) = 2  s_p: 2:- 3:3 5:3 7:3
  |P| = 60  |H| = 720    h*(H) = 2  s_p: 2:- 3:2 5:2 7:2
  |P| = 60  |H| = 1440   h*(H) = 3  s_p: 2:- 3:3 5:3 7:3
  |P| = 60  |H| = 600    h*(H) = 2  s_p: 2:2 3:2 5:- 7:2
  |P| = 60  |H| = 1200   h*(H) = 2  s_p: 2:2 3:3 5:- 7:3
  |P| = 60  |H| = 60     h*(H) = 1  s_p: 2:2 3:2 5:2 7:2
  |P| = 60  |H| = 300    h*(H) = 1  s_p: 2:2 3:2 5:- 7:2
  |P| = 60  |H| = 180    h*(H) = 1  s_p: 2:2 3:- 5:2 7:2
  |P| = 60  |H| = 120    h*(H) = 1  s_p: 2:- 3:2 5:2 7:2
  |P| = 60  |H| = 120    h*(H) = 2  s_p: 2:2 3:3 5:3 7:3
  |P| = 60  |H| = 240    h*(H) = 2  s_p: 2:- 3:3 5:3 7:3
  |P| = 60  |H| = 360    h*(H) = 2  s_p: 2:2 3:- 5:3 7:3
  |P| = 60  |H| = 720    h*(H) = 2  s_p: 2:2 3:- 5:3 7:3
  |P| = 60  |H| = 480    h*(H) = 2  s_p: 2:- 3:3 5:3 7:3
  |P| = 60  |H| = 240    h*(H) = 1  s_p: 2:- 3:2 5:2 7:2
  |P| = 60  |H| = 240    h*(H) = 2  s_p: 2:- 3:3 5:3 7:3
  |P| = 60  |H| = 720    h*(H) = 2  s_p: 2:- 3:2 5:2 7:2
  |P| = 60  |H| = 1440   h*(H) = 3  s_p: 2:- 3:3 5:3 7:3
  |P| = 60  |H| = 360    h*(H) = 2  s_p: 2:2 3:- 5:2 7:2
  |P| = 60  |H| = 360    h*(H) = 2  s_p: 2:2 3:- 5:3 7:3
  |P| = 60  |H| = 600    h*(H) = 2  s_p: 2:2 3:2 5:- 7:2
  |P| = 60  |H| = 1200   h*(H) = 2  s_p: 2:2 3:3 5:- 7:3
  |P| = 3600  |H| = 3600   h*(H) = 1  s_p: 2:2 3:2 5:2 7:2
  |P| = 3600  |H| = 7200   h*(H) = 2  s_p: 2:2 3:3 5:3 7:3
  |P| = 60  |H| = 60     h*(H) = 1  s_p: 2:2 3:2 5:2 7:2
  |P| = 60  |H| = 120    h*(H) = 2  s_p: 2:2 3:3 5:3 7:3
  |P| = 60  |H| = 60     h*(H) = 1  s_p: 2:2 3:2 5:2 7:2
  |P| = 60  |H| = 120    h*(H) = 2  s_p: 2:2 3:3 5:3 7:3
A5A5diag2: 40 non-soluble subgroup classes tested (all with the listed perfect residuals), 0 violations, 37 tight; 8.3s
3^4:S5: |G| = 9720; 15868 soluble subgroups; perfect subgroup classes found: [60, 4860] (22.3s)
  |P| = 4860  |H| = 4860   h*(H) = 2  s_p: 2:3 3:- 5:3 7:3
  |P| = 4860  |H| = 9720   h*(H) = 3  s_p: 2:4 3:- 5:4 7:4
  |P| = 60  |H| = 60     h*(H) = 1  s_p: 2:2 3:2 5:2 7:2
3^4:S5: 3 non-soluble subgroup classes tested (all with the listed perfect residuals), 0 violations, 0 tight; 25.5s
AGL25: |G| = 12000; 13562 soluble subgroups; perfect subgroup classes found: [120, 3000] (12.4s)
  |P| = 3000  |H| = 3000   h*(H) = 2  s_p: 2:3 3:3 5:- 7:3
  |P| = 3000  |H| = 6000   h*(H) = 2  s_p: 2:3 3:3 5:- 7:3
  |P| = 3000  |H| = 12000  h*(H) = 3  s_p: 2:4 3:4 5:- 7:4
  |P| = 120  |H| = 120    h*(H) = 1  s_p: 2:- 3:2 5:2 7:2
  |P| = 120  |H| = 240    h*(H) = 1  s_p: 2:- 3:2 5:2 7:2
  |P| = 120  |H| = 480    h*(H) = 2  s_p: 2:- 3:3 5:3 7:3
AGL25: 6 non-soluble subgroup classes tested (all with the listed perfect residuals), 0 violations, 0 tight; 15.6s
S5wrC2: |G| = 28800; 146194 soluble subgroups; perfect subgroup classes found: [60, 3600] (85.3s)
  |P| = 60  |H| = 60     h*(H) = 1  s_p: 2:2 3:2 5:2 7:2
  |P| = 60  |H| = 120    h*(H) = 1  s_p: 2:- 3:2 5:2 7:2
  |P| = 60  |H| = 300    h*(H) = 1  s_p: 2:2 3:2 5:- 7:2
  |P| = 60  |H| = 180    h*(H) = 1  s_p: 2:2 3:- 5:2 7:2
  |P| = 60  |H| = 120    h*(H) = 1  s_p: 2:- 3:2 5:2 7:2
  |P| = 60  |H| = 120    h*(H) = 2  s_p: 2:2 3:3 5:3 7:3
  |P| = 60  |H| = 120    h*(H) = 2  s_p: 2:2 3:3 5:3 7:3
  |P| = 60  |H| = 120    h*(H) = 2  s_p: 2:2 3:3 5:3 7:3
  |P| = 60  |H| = 240    h*(H) = 2  s_p: 2:- 3:3 5:3 7:3
  |P| = 60  |H| = 240    h*(H) = 2  s_p: 2:- 3:3 5:3 7:3
  |P| = 60  |H| = 360    h*(H) = 2  s_p: 2:2 3:- 5:3 7:3
  |P| = 60  |H| = 240    h*(H) = 2  s_p: 2:- 3:3 5:3 7:3
  |P| = 60  |H| = 480    h*(H) = 2  s_p: 2:- 3:3 5:3 7:3
  |P| = 60  |H| = 720    h*(H) = 2  s_p: 2:- 3:- 5:3 7:3
  |P| = 60  |H| = 1440   h*(H) = 2  s_p: 2:- 3:- 5:3 7:3
  |P| = 60  |H| = 960    h*(H) = 2  s_p: 2:- 3:3 5:3 7:3
  |P| = 60  |H| = 720    h*(H) = 2  s_p: 2:2 3:- 5:3 7:3
  |P| = 60  |H| = 720    h*(H) = 2  s_p: 2:2 3:- 5:3 7:3
  |P| = 60  |H| = 480    h*(H) = 2  s_p: 2:- 3:3 5:3 7:3
  |P| = 60  |H| = 480    h*(H) = 2  s_p: 2:- 3:3 5:3 7:3
  |P| = 60  |H| = 360    h*(H) = 2  s_p: 2:2 3:- 5:3 7:3
  |P| = 60  |H| = 600    h*(H) = 2  s_p: 2:2 3:3 5:- 7:3
  |P| = 60  |H| = 240    h*(H) = 2  s_p: 2:- 3:3 5:3 7:3
  |P| = 60  |H| = 480    h*(H) = 2  s_p: 2:- 3:3 5:3 7:3
  |P| = 60  |H| = 480    h*(H) = 2  s_p: 2:- 3:3 5:3 7:3
  |P| = 60  |H| = 1440   h*(H) = 2  s_p: 2:- 3:3 5:3 7:3
  |P| = 60  |H| = 2880   h*(H) = 3  s_p: 2:- 3:3 5:3 7:3
  |P| = 60  |H| = 1200   h*(H) = 2  s_p: 2:2 3:3 5:- 7:3
  |P| = 60  |H| = 2400   h*(H) = 2  s_p: 2:2 3:3 5:- 7:3
  |P| = 60  |H| = 720    h*(H) = 2  s_p: 2:2 3:- 5:3 7:3
  |P| = 60  |H| = 720    h*(H) = 2  s_p: 2:2 3:- 5:3 7:3
  |P| = 60  |H| = 240    h*(H) = 2  s_p: 2:- 3:3 5:3 7:3
  |P| = 60  |H| = 480    h*(H) = 2  s_p: 2:- 3:3 5:3 7:3
  |P| = 60  |H| = 240    h*(H) = 1  s_p: 2:- 3:2 5:2 7:2
  |P| = 60  |H| = 240    h*(H) = 1  s_p: 2:- 3:2 5:2 7:2
  |P| = 60  |H| = 240    h*(H) = 2  s_p: 2:- 3:3 5:3 7:3
  |P| = 60  |H| = 240    h*(H) = 1  s_p: 2:- 3:2 5:2 7:2
  |P| = 60  |H| = 480    h*(H) = 1  s_p: 2:- 3:2 5:2 7:2
  |P| = 60  |H| = 720    h*(H) = 2  s_p: 2:- 3:2 5:2 7:2
  |P| = 60  |H| = 1440   h*(H) = 3  s_p: 2:- 3:3 5:3 7:3
  |P| = 60  |H| = 1440   h*(H) = 3  s_p: 2:- 3:3 5:3 7:3
  |P| = 60  |H| = 360    h*(H) = 2  s_p: 2:2 3:- 5:2 7:2
  |P| = 60  |H| = 360    h*(H) = 2  s_p: 2:2 3:- 5:2 7:2
  |P| = 60  |H| = 360    h*(H) = 1  s_p: 2:- 3:- 5:2 7:2
  |P| = 60  |H| = 360    h*(H) = 2  s_p: 2:2 3:- 5:3 7:3
  |P| = 60  |H| = 360    h*(H) = 2  s_p: 2:2 3:- 5:3 7:3
  |P| = 60  |H| = 720    h*(H) = 2  s_p: 2:- 3:- 5:3 7:3
  |P| = 60  |H| = 720    h*(H) = 2  s_p: 2:- 3:- 5:2 7:2
  |P| = 60  |H| = 600    h*(H) = 2  s_p: 2:2 3:2 5:- 7:2
  |P| = 60  |H| = 600    h*(H) = 2  s_p: 2:2 3:3 5:- 7:3
  |P| = 60  |H| = 1200   h*(H) = 2  s_p: 2:2 3:3 5:- 7:3
  |P| = 60  |H| = 1200   h*(H) = 2  s_p: 2:2 3:2 5:- 7:2
  |P| = 3600  |H| = 3600   h*(H) = 1  s_p: 2:2 3:2 5:2 7:2
  |P| = 3600  |H| = 7200   h*(H) = 2  s_p: 2:2 3:3 5:3 7:3
  |P| = 3600  |H| = 7200   h*(H) = 2  s_p: 2:2 3:3 5:3 7:3
  |P| = 3600  |H| = 7200   h*(H) = 2  s_p: 2:2 3:3 5:3 7:3
  |P| = 3600  |H| = 14400  h*(H) = 2  s_p: 2:2 3:3 5:3 7:3
  |P| = 3600  |H| = 14400  h*(H) = 2  s_p: 2:2 3:3 5:3 7:3
  |P| = 3600  |H| = 14400  h*(H) = 2  s_p: 2:2 3:3 5:3 7:3
  |P| = 3600  |H| = 28800  h*(H) = 2  s_p: 2:2 3:3 5:3 7:3
S5wrC2: 60 non-soluble subgroup classes tested (all with the listed perfect residuals), 0 violations, 49 tight; 96.1s
