PGAMMAL(3,4): |P| = 120960, k = 21, |Q| = 5760, M = 384; mode all; part 0/1
subgroups of Q up to Q-conjugacy: 199 classes, 17948 subgroups (8s)
subgroups R to treat (|R|*k >= M): 114
R#17: |R| = 24, |phibar(R)| = 6, not good, Q-conjugates 120, |A| = 480, family 3, closures 142, members of order >= M: {}  (0.1s)
R#18: |R| = 160, |phibar(R)| = 10, not good, Q-conjugates 6, |A| = 0, family 1, closures 12, members of order >= M: {}  (0.0s)
R#19: |R| = 24, |phibar(R)| = 12, not good, Q-conjugates 60, |A| = 1224, family 6, closures 152, members of order >= M: {480: 2}  (0.1s)
R#24: |R| = 60, |phibar(R)| = 60, not good, Q-conjugates 16, |A| = 900, family 2, closures 36, members of order >= M: {960: 1}  (0.1s)
R#25: |R| = 60, |phibar(R)| = 60, not good, Q-conjugates 48, |A| = 300, family 2, closures 36, members of order >= M: {}  (0.1s)
R#26: |R| = 180, |phibar(R)| = 60, not good, Q-conjugates 16, |A| = 2700, family 2, closures 12, members of order >= M: {2880: 1}  (0.0s)
R#28: |R| = 24, |phibar(R)| = 2, good, Q-conjugates 60, |A| = 0, family 1, closures 124, members of order >= M: {}  (0.1s)
R#34: |R| = 32, |phibar(R)| = 4, good, Q-conjugates 45, |A| = 0, family 1, closures 78, members of order >= M: {}  (0.1s)
R#35: |R| = 20, |phibar(R)| = 20, not good, Q-conjugates 288, |A| = 400, family 3, closures 173, members of order >= M: {}  (0.1s)
R#36: |R| = 320, |phibar(R)| = 20, not good, Q-conjugates 18, |A| = 0, family 1, closures 4, members of order >= M: {}  (0.0s)
R#38: |R| = 64, |phibar(R)| = 8, good, Q-conjugates 45, |A| = 512, family 3, closures 37, members of order >= M: {}  (0.1s)
R#43: |R| = 192, |phibar(R)| = 12, not good, Q-conjugates 30, |A| = 0, family 1, closures 8, members of order >= M: {}  (0.0s)
R#44: |R| = 48, |phibar(R)| = 12, not good, Q-conjugates 120, |A| = 960, family 3, closures 49, members of order >= M: {720: 1}  (0.1s)
R#45: |R| = 120, |phibar(R)| = 120, not good, Q-conjugates 48, |A| = 1800, family 2, closures 13, members of order >= M: {1920: 1}  (0.0s)
R#46: |R| = 120, |phibar(R)| = 120, not good, Q-conjugates 48, |A| = 600, family 2, closures 13, members of order >= M: {720: 1}  (0.0s)
R#47: |R| = 1920, |phibar(R)| = 120, not good, Q-conjugates 3, |A| = 38400, family 2, closures 3, members of order >= M: {1920: 1, 40320: 1}  (0.1s)
R#48: |R| = 32, |phibar(R)| = 4, good, Q-conjugates 45, |A| = 0, family 1, closures 78, members of order >= M: {}  (0.1s)
R#52: |R| = 24, |phibar(R)| = 12, not good, Q-conjugates 60, |A| = 384, family 3, closures 124, members of order >= M: {}  (0.1s)
R#54: |R| = 96, |phibar(R)| = 6, not good, Q-conjugates 10, |A| = 0, family 1, closures 23, members of order >= M: {}  (0.0s)
R#55: |R| = 48, |phibar(R)| = 12, not good, Q-conjugates 60, |A| = 0, family 1, closures 33, members of order >= M: {}  (0.1s)
R#56: |R| = 96, |phibar(R)| = 12, not good, Q-conjugates 15, |A| = 1152, family 5, closures 36, members of order >= M: {480: 2}  (0.1s)
R#57: |R| = 288, |phibar(R)| = 6, not good, Q-conjugates 10, |A| = 0, family 1, closures 6, members of order >= M: {}  (0.0s)
R#58: |R| = 48, |phibar(R)| = 12, not good, Q-conjugates 60, |A| = 0, family 1, closures 40, members of order >= M: {}  (0.1s)
R#59: |R| = 960, |phibar(R)| = 60, not good, Q-conjugates 1, |A| = 19200, family 2, closures 6, members of order >= M: {960: 1, 20160: 1}  (0.0s)
R#60: |R| = 2880, |phibar(R)| = 60, not good, Q-conjugates 1, |A| = 57600, family 2, closures 3, members of order >= M: {2880: 1, 60480: 1}  (0.1s)
R#61: |R| = 96, |phibar(R)| = 2, good, Q-conjugates 15, |A| = 0, family 1, closures 12, members of order >= M: {}  (0.0s)
R#66: |R| = 64, |phibar(R)| = 8, good, Q-conjugates 45, |A| = 0, family 1, closures 23, members of order >= M: {}  (0.1s)
R#70: |R| = 32, |phibar(R)| = 8, good, Q-conjugates 90, |A| = 0, family 1, closures 75, members of order >= M: {}  (0.1s)
R#71: |R| = 32, |phibar(R)| = 4, good, Q-conjugates 90, |A| = 0, family 1, closures 66, members of order >= M: {}  (0.1s)
R#72: |R| = 32, |phibar(R)| = 8, good, Q-conjugates 90, |A| = 0, family 1, closures 66, members of order >= M: {}  (0.1s)
R#73: |R| = 64, |phibar(R)| = 4, good, Q-conjugates 45, |A| = 0, family 1, closures 25, members of order >= M: {}  (0.1s)
R#74: |R| = 32, |phibar(R)| = 4, good, Q-conjugates 45, |A| = 0, family 1, closures 79, members of order >= M: {}  (0.1s)
R#77: |R| = 36, |phibar(R)| = 12, not good, Q-conjugates 80, |A| = 828, family 5, closures 88, members of order >= M: {576: 1}  (0.1s)
R#79: |R| = 144, |phibar(R)| = 12, not good, Q-conjugates 20, |A| = 3024, family 5, closures 33, members of order >= M: {576: 1, 2880: 1}  (0.1s)
R#81: |R| = 576, |phibar(R)| = 12, not good, Q-conjugates 5, |A| = 2304, family 2, closures 7, members of order >= M: {576: 1, 2880: 1}  (0.0s)
R#82: |R| = 36, |phibar(R)| = 3, good, Q-conjugates 80, |A| = 144, family 2, closures 72, members of order >= M: {}  (0.1s)
R#83: |R| = 144, |phibar(R)| = 3, good, Q-conjugates 10, |A| = 0, family 1, closures 12, members of order >= M: {}  (0.0s)
R#85: |R| = 24, |phibar(R)| = 6, not good, Q-conjugates 120, |A| = 192, family 3, closures 126, members of order >= M: {}  (0.1s)
R#86: |R| = 96, |phibar(R)| = 6, not good, Q-conjugates 30, |A| = 0, family 1, closures 14, members of order >= M: {}  (0.0s)
R#87: |R| = 24, |phibar(R)| = 24, not good, Q-conjugates 240, |A| = 528, family 5, closures 136, members of order >= M: {384: 1}  (0.1s)
R#88: |R| = 384, |phibar(R)| = 24, not good, Q-conjugates 15, |A| = 1536, family 2, closures 7, members of order >= M: {384: 1, 1920: 1}  (0.0s)
R#89: |R| = 96, |phibar(R)| = 24, not good, Q-conjugates 60, |A| = 0, family 1, closures 14, members of order >= M: {}  (0.0s)
R#90: |R| = 24, |phibar(R)| = 6, not good, Q-conjugates 240, |A| = 96, family 2, closures 123, members of order >= M: {}  (0.1s)
R#91: |R| = 24, |phibar(R)| = 24, not good, Q-conjugates 240, |A| = 408, family 4, closures 133, members of order >= M: {}  (0.1s)
R#92: |R| = 96, |phibar(R)| = 24, not good, Q-conjugates 60, |A| = 1920, family 4, closures 27, members of order >= M: {384: 1, 1920: 1}  (0.1s)
R#94: |R| = 24, |phibar(R)| = 6, good, Q-conjugates 120, |A| = 0, family 1, closures 117, members of order >= M: {}  (0.1s)
R#95: |R| = 96, |phibar(R)| = 6, good, Q-conjugates 30, |A| = 0, family 1, closures 12, members of order >= M: {}  (0.0s)
R#96: |R| = 80, |phibar(R)| = 5, good, Q-conjugates 6, |A| = 0, family 1, closures 12, members of order >= M: {}  (0.0s)
R#98: |R| = 240, |phibar(R)| = 5, good, Q-conjugates 6, |A| = 0, family 1, closures 2, members of order >= M: {}  (0.0s)
R#100: |R| = 24, |phibar(R)| = 3, good, Q-conjugates 60, |A| = 0, family 1, closures 120, members of order >= M: {}  (0.1s)
R#103: |R| = 48, |phibar(R)| = 6, not good, Q-conjugates 60, |A| = 0, family 1, closures 33, members of order >= M: {}  (0.1s)
R#104: |R| = 24, |phibar(R)| = 6, not good, Q-conjugates 120, |A| = 0, family 1, closures 129, members of order >= M: {}  (0.1s)
R#105: |R| = 24, |phibar(R)| = 24, not good, Q-conjugates 240, |A| = 696, family 6, closures 148, members of order >= M: {384: 1}  (0.1s)
R#106: |R| = 192, |phibar(R)| = 24, not good, Q-conjugates 15, |A| = 1536, family 3, closures 12, members of order >= M: {960: 2}  (0.0s)
R#107: |R| = 360, |phibar(R)| = 120, not good, Q-conjugates 16, |A| = 5400, family 2, closures 6, members of order >= M: {5760: 1}  (0.0s)
R#108: |R| = 5760, |phibar(R)| = 120, not good, Q-conjugates 1, |A| = 115200, family 2, closures 2, members of order >= M: {5760: 1, 120960: 1}  (0.1s)
R#109: |R| = 24, |phibar(R)| = 24, not good, Q-conjugates 120, |A| = 1032, family 8, closures 165, members of order >= M: {384: 2}  (0.1s)
R#110: |R| = 384, |phibar(R)| = 24, not good, Q-conjugates 15, |A| = 0, family 1, closures 4, members of order >= M: {384: 1}  (0.0s)
R#111: |R| = 48, |phibar(R)| = 24, not good, Q-conjugates 60, |A| = 768, family 3, closures 46, members of order >= M: {432: 2}  (0.1s)
R#113: |R| = 96, |phibar(R)| = 24, not good, Q-conjugates 30, |A| = 960, family 7, closures 51, members of order >= M: {384: 2}  (0.1s)
R#114: |R| = 48, |phibar(R)| = 24, not good, Q-conjugates 60, |A| = 0, family 1, closures 33, members of order >= M: {}  (0.1s)
R#115: |R| = 48, |phibar(R)| = 24, not good, Q-conjugates 60, |A| = 1680, family 4, closures 45, members of order >= M: {960: 2}  (0.1s)
R#117: |R| = 288, |phibar(R)| = 6, good, Q-conjugates 10, |A| = 0, family 1, closures 4, members of order >= M: {}  (0.0s)
R#127: |R| = 96, |phibar(R)| = 2, good, Q-conjugates 10, |A| = 0, family 1, closures 11, members of order >= M: {}  (0.0s)
R#129: |R| = 192, |phibar(R)| = 4, good, Q-conjugates 15, |A| = 0, family 1, closures 4, members of order >= M: {}  (0.0s)
R#130: |R| = 24, |phibar(R)| = 2, good, Q-conjugates 120, |A| = 0, family 1, closures 119, members of order >= M: {}  (0.1s)
R#131: |R| = 48, |phibar(R)| = 4, good, Q-conjugates 60, |A| = 0, family 1, closures 35, members of order >= M: {}  (0.1s)
R#132: |R| = 96, |phibar(R)| = 24, not good, Q-conjugates 60, |A| = 288, family 2, closures 19, members of order >= M: {384: 1}  (0.0s)
R#133: |R| = 96, |phibar(R)| = 24, not good, Q-conjugates 60, |A| = 0, family 1, closures 12, members of order >= M: {}  (0.0s)
R#134: |R| = 48, |phibar(R)| = 24, not good, Q-conjugates 60, |A| = 912, family 4, closures 53, members of order >= M: {576: 2}  (0.1s)
R#135: |R| = 384, |phibar(R)| = 24, not good, Q-conjugates 15, |A| = 0, family 1, closures 4, members of order >= M: {384: 1}  (0.0s)
R#136: |R| = 192, |phibar(R)| = 24, not good, Q-conjugates 15, |A| = 768, family 3, closures 15, members of order >= M: {576: 2}  (0.0s)
R#138: |R| = 192, |phibar(R)| = 4, good, Q-conjugates 15, |A| = 0, family 1, closures 6, members of order >= M: {}  (0.0s)
R#139: |R| = 96, |phibar(R)| = 6, not good, Q-conjugates 60, |A| = 0, family 1, closures 12, members of order >= M: {}  (0.0s)
R#141: |R| = 48, |phibar(R)| = 4, good, Q-conjugates 60, |A| = 0, family 1, closures 43, members of order >= M: {}  (0.1s)
R#142: |R| = 24, |phibar(R)| = 6, not good, Q-conjugates 240, |A| = 0, family 1, closures 120, members of order >= M: {}  (0.1s)
R#143: |R| = 48, |phibar(R)| = 6, not good, Q-conjugates 60, |A| = 0, family 1, closures 42, members of order >= M: {}  (0.1s)
R#144: |R| = 24, |phibar(R)| = 8, good, Q-conjugates 240, |A| = 432, family 4, closures 130, members of order >= M: {384: 1}  (0.1s)
R#145: |R| = 96, |phibar(R)| = 8, good, Q-conjugates 60, |A| = 288, family 2, closures 18, members of order >= M: {384: 1}  (0.1s)
R#146: |R| = 384, |phibar(R)| = 8, good, Q-conjugates 15, |A| = 0, family 1, closures 3, members of order >= M: {384: 1}  (0.0s)
R#147: |R| = 60, |phibar(R)| = 20, not good, Q-conjugates 96, |A| = 900, family 2, closures 24, members of order >= M: {960: 1}  (0.1s)
R#148: |R| = 960, |phibar(R)| = 20, not good, Q-conjugates 6, |A| = 0, family 1, closures 1, members of order >= M: {960: 1}  (0.0s)
R#149: |R| = 32, |phibar(R)| = 2, good, Q-conjugates 15, |A| = 0, family 1, closures 90, members of order >= M: {}  (0.1s)
R#150: |R| = 192, |phibar(R)| = 12, not good, Q-conjugates 5, |A| = 0, family 1, closures 9, members of order >= M: {}  (0.1s)
R#152: |R| = 192, |phibar(R)| = 12, not good, Q-conjugates 5, |A| = 768, family 2, closures 17, members of order >= M: {960: 1}  (0.1s)
R#153: |R| = 32, |phibar(R)| = 4, good, Q-conjugates 15, |A| = 384, family 5, closures 130, members of order >= M: {}  (0.1s)
R#154: |R| = 32, |phibar(R)| = 4, good, Q-conjugates 45, |A| = 0, family 1, closures 78, members of order >= M: {}  (0.1s)
R#156: |R| = 128, |phibar(R)| = 8, good, Q-conjugates 45, |A| = 0, family 1, closures 13, members of order >= M: {}  (0.0s)
R#158: |R| = 64, |phibar(R)| = 8, good, Q-conjugates 45, |A| = 256, family 3, closures 40, members of order >= M: {}  (0.1s)
R#159: |R| = 64, |phibar(R)| = 4, good, Q-conjugates 45, |A| = 0, family 1, closures 27, members of order >= M: {}  (0.1s)
R#160: |R| = 30, |phibar(R)| = 10, not good, Q-conjugates 96, |A| = 450, family 2, closures 79, members of order >= M: {480: 1}  (0.2s)
R#161: |R| = 480, |phibar(R)| = 10, not good, Q-conjugates 6, |A| = 0, family 1, closures 2, members of order >= M: {480: 1}  (0.0s)
R#163: |R| = 48, |phibar(R)| = 12, not good, Q-conjugates 20, |A| = 144, family 2, closures 52, members of order >= M: {}  (0.1s)
R#164: |R| = 48, |phibar(R)| = 12, not good, Q-conjugates 5, |A| = 3648, family 45, closures 670, members of order >= M: {}  (0.6s)
R#165: |R| = 48, |phibar(R)| = 12, not good, Q-conjugates 20, |A| = 1104, family 7, closures 89, members of order >= M: {960: 1}  (0.1s)
R#169: |R| = 32, |phibar(R)| = 8, good, Q-conjugates 90, |A| = 448, family 9, closures 152, members of order >= M: {}  (0.2s)
R#171: |R| = 36, |phibar(R)| = 12, not good, Q-conjugates 160, |A| = 936, family 4, closures 81, members of order >= M: {432: 1, 576: 1}  (0.2s)
R#172: |R| = 576, |phibar(R)| = 12, not good, Q-conjugates 10, |A| = 0, family 1, closures 3, members of order >= M: {576: 1}  (0.0s)
R#174: |R| = 192, |phibar(R)| = 4, good, Q-conjugates 5, |A| = 0, family 1, closures 6, members of order >= M: {}  (0.0s)
R#175: |R| = 48, |phibar(R)| = 4, good, Q-conjugates 20, |A| = 144, family 2, closures 49, members of order >= M: {}  (0.1s)
R#176: |R| = 64, |phibar(R)| = 8, good, Q-conjugates 45, |A| = 0, family 1, closures 24, members of order >= M: {}  (0.1s)
R#177: |R| = 192, |phibar(R)| = 12, not good, Q-conjugates 5, |A| = 0, family 1, closures 9, members of order >= M: {}  (0.0s)
R#180: |R| = 32, |phibar(R)| = 8, good, Q-conjugates 90, |A| = 0, family 1, closures 66, members of order >= M: {}  (0.1s)
R#181: |R| = 48, |phibar(R)| = 3, good, Q-conjugates 10, |A| = 0, family 1, closures 40, members of order >= M: {}  (0.1s)
R#182: |R| = 72, |phibar(R)| = 24, not good, Q-conjugates 80, |A| = 1368, family 4, closures 37, members of order >= M: {576: 1, 1152: 1}  (0.1s)
R#183: |R| = 1152, |phibar(R)| = 24, not good, Q-conjugates 5, |A| = 4608, family 2, closures 4, members of order >= M: {1152: 1, 5760: 1}  (0.0s)
R#184: |R| = 288, |phibar(R)| = 24, not good, Q-conjugates 20, |A| = 5760, family 4, closures 16, members of order >= M: {576: 1, 1152: 1, 5760: 1}  (0.1s)
R#186: |R| = 288, |phibar(R)| = 6, not good, Q-conjugates 10, |A| = 0, family 1, closures 6, members of order >= M: {}  (0.0s)
R#187: |R| = 72, |phibar(R)| = 6, not good, Q-conjugates 80, |A| = 288, family 2, closures 30, members of order >= M: {}  (0.1s)
R#188: |R| = 48, |phibar(R)| = 3, good, Q-conjugates 20, |A| = 0, family 1, closures 33, members of order >= M: {}  (0.1s)
R#191: |R| = 32, |phibar(R)| = 2, good, Q-conjugates 30, |A| = 0, family 1, closures 66, members of order >= M: {}  (0.1s)
R#192: |R| = 48, |phibar(R)| = 1, good, Q-conjugates 1, |A| = 0, family 1, closures 30, members of order >= M: {}  (0.1s)
R#195: |R| = 64, |phibar(R)| = 4, good, Q-conjugates 5, |A| = 0, family 1, closures 42, members of order >= M: {}  (0.1s)
R#196: |R| = 32, |phibar(R)| = 4, good, Q-conjugates 45, |A| = 0, family 1, closures 87, members of order >= M: {}  (0.1s)

TOTALS PGAMMAL(3,4) mode all part 0/1:
  subgroups S with |S| >= M, by order (all conjugates counted): {384: 1260, 432: 280, 480: 252, 576: 525, 720: 168, 960: 294, 1152: 105, 1920: 126, 2880: 42, 5760: 42, 20160: 1, 40320: 3, 60480: 1, 120960: 1}
  of these, good at the base point: {384: 315}
  largest order of a subgroup good at the base point found: 384  (M = 384)
  good subgroups of order > M: 0
  saved 51 subgroups of order > M; every subgroup of P of order > M is conjugate under Q to at least one of them
total time 17s
