S5wrC2: |G| = 28800, 495 soluble classes, 146194 soluble subgroups (11.8s)
  H #1: |H| = 14400, h*(H) = 2; s_p(H): p=2:2, p=3:3, p=5:3, p=7:3
  H #2: |H| = 28800, h*(H) = 2; s_p(H): p=2:2, p=3:3, p=5:3, p=7:3
  H #3: |H| = 14400, h*(H) = 2; s_p(H): p=2:2, p=3:3, p=5:3, p=7:3
  H #4: |H| = 14400, h*(H) = 2; s_p(H): p=2:2, p=3:3, p=5:3, p=7:3
  H #5: |H| = 7200, h*(H) = 2; s_p(H): p=2:2, p=3:3, p=5:3, p=7:3
  H #6: |H| = 7200, h*(H) = 2; s_p(H): p=2:2, p=3:3, p=5:3, p=7:3
  H #7: |H| = 720, h*(H) = 2; s_p(H): p=2:-, p=3:-, p=5:2, p=7:2
  H #8: |H| = 360, h*(H) = 2; s_p(H): p=2:2, p=3:-, p=5:2, p=7:2
  H #9: |H| = 1440, h*(H) = 3; s_p(H): p=2:-, p=3:3, p=5:3, p=7:3
  H #10: |H| = 1200, h*(H) = 2; s_p(H): p=2:2, p=3:3, p=5:-, p=7:3
  H #11: |H| = 7200, h*(H) = 2; s_p(H): p=2:2, p=3:3, p=5:3, p=7:3
  H #12: |H| = 120, h*(H) = 2; s_p(H): p=2:2, p=3:3, p=5:3, p=7:3
  H #13: |H| = 2400, h*(H) = 2; s_p(H): p=2:2, p=3:3, p=5:-, p=7:3
  H #14: |H| = 3600, h*(H) = 1; s_p(H): p=2:2, p=3:2, p=5:2, p=7:2
  H #15: |H| = 480, h*(H) = 2; s_p(H): p=2:-, p=3:3, p=5:3, p=7:3
  H #16: |H| = 600, h*(H) = 2; s_p(H): p=2:2, p=3:2, p=5:-, p=7:2
  H #17: |H| = 1440, h*(H) = 3; s_p(H): p=2:-, p=3:3, p=5:3, p=7:3
  H #18: |H| = 360, h*(H) = 2; s_p(H): p=2:2, p=3:-, p=5:3, p=7:3
  H #19: |H| = 1200, h*(H) = 2; s_p(H): p=2:2, p=3:2, p=5:-, p=7:2
  H #20: |H| = 240, h*(H) = 1; s_p(H): p=2:-, p=3:2, p=5:2, p=7:2
  H #21: |H| = 720, h*(H) = 2; s_p(H): p=2:2, p=3:-, p=5:3, p=7:3
  H #22: |H| = 360, h*(H) = 2; s_p(H): p=2:2, p=3:-, p=5:3, p=7:3
  H #23: |H| = 1200, h*(H) = 2; s_p(H): p=2:2, p=3:3, p=5:-, p=7:3
  H #24: |H| = 2880, h*(H) = 3; s_p(H): p=2:-, p=3:3, p=5:3, p=7:3
  H #25: |H| = 720, h*(H) = 2; s_p(H): p=2:2, p=3:-, p=5:3, p=7:3
  H #26: |H| = 720, h*(H) = 2; s_p(H): p=2:-, p=3:-, p=5:3, p=7:3
  H #27: |H| = 720, h*(H) = 2; s_p(H): p=2:-, p=3:-, p=5:3, p=7:3
  H #28: |H| = 240, h*(H) = 2; s_p(H): p=2:-, p=3:3, p=5:3, p=7:3
  H #29: |H| = 480, h*(H) = 2; s_p(H): p=2:-, p=3:3, p=5:3, p=7:3
  H #30: |H| = 480, h*(H) = 1; s_p(H): p=2:-, p=3:2, p=5:2, p=7:2
  H #31: |H| = 720, h*(H) = 2; s_p(H): p=2:-, p=3:2, p=5:2, p=7:2
  H #32: |H| = 60, h*(H) = 1; s_p(H): p=2:2, p=3:2, p=5:2, p=7:2
  H #33: |H| = 1440, h*(H) = 2; s_p(H): p=2:-, p=3:3, p=5:3, p=7:3
  H #34: |H| = 480, h*(H) = 2; s_p(H): p=2:-, p=3:3, p=5:3, p=7:3
  H #35: |H| = 240, h*(H) = 2; s_p(H): p=2:-, p=3:3, p=5:3, p=7:3
  H #36: |H| = 120, h*(H) = 1; s_p(H): p=2:-, p=3:2, p=5:2, p=7:2
  H #37: |H| = 240, h*(H) = 1; s_p(H): p=2:-, p=3:2, p=5:2, p=7:2
  H #38: |H| = 360, h*(H) = 2; s_p(H): p=2:2, p=3:-, p=5:3, p=7:3
  H #39: |H| = 120, h*(H) = 2; s_p(H): p=2:2, p=3:3, p=5:3, p=7:3
  H #40: |H| = 600, h*(H) = 2; s_p(H): p=2:2, p=3:3, p=5:-, p=7:3
  H #41: |H| = 720, h*(H) = 2; s_p(H): p=2:2, p=3:-, p=5:3, p=7:3
  H #42: |H| = 120, h*(H) = 2; s_p(H): p=2:2, p=3:3, p=5:3, p=7:3
  H #43: |H| = 240, h*(H) = 2; s_p(H): p=2:-, p=3:3, p=5:3, p=7:3
  H #44: |H| = 600, h*(H) = 2; s_p(H): p=2:2, p=3:3, p=5:-, p=7:3
  H #45: |H| = 300, h*(H) = 1; s_p(H): p=2:2, p=3:2, p=5:-, p=7:2
  H #46: |H| = 720, h*(H) = 2; s_p(H): p=2:2, p=3:-, p=5:3, p=7:3
S5wrC2: 46 non-soluble subgroup classes tested, 0 violations of Theorem P, 45 tight (s_p = h*) cases; 27.4s
