In [1]:

from groups import *
from datetime import datetime
from collections import Counter

A5 = create_alternating_group_of_order(5) # order 60

sizes = Counter()
for g in all_subgroups_of_group(A5):
    sizes.update([len(g)])
    print(sizes, datetime.now())

Counter({1: 1}) 2022-07-03 16:35:46.073167
Counter({1: 1, 2: 1}) 2022-07-03 16:35:46.074204
Counter({2: 2, 1: 1}) 2022-07-03 16:35:46.074492
Counter({2: 3, 1: 1}) 2022-07-03 16:35:46.075820
Counter({2: 4, 1: 1}) 2022-07-03 16:35:46.076006
Counter({2: 5, 1: 1}) 2022-07-03 16:35:46.076364
Counter({2: 6, 1: 1}) 2022-07-03 16:35:46.076594
Counter({2: 7, 1: 1}) 2022-07-03 16:35:46.076997
Counter({2: 8, 1: 1}) 2022-07-03 16:35:46.077152
Counter({2: 9, 1: 1}) 2022-07-03 16:35:46.077500
Counter({2: 10, 1: 1}) 2022-07-03 16:35:46.077878
Counter({2: 11, 1: 1}) 2022-07-03 16:35:46.078152
Counter({2: 12, 1: 1}) 2022-07-03 16:35:46.078256
Counter({2: 13, 1: 1}) 2022-07-03 16:35:46.078873
Counter({2: 14, 1: 1}) 2022-07-03 16:35:46.079554
Counter({2: 15, 1: 1}) 2022-07-03 16:35:46.079711
Counter({2: 15, 1: 1, 3: 1}) 2022-07-03 16:35:46.081704
Counter({2: 15, 3: 2, 1: 1}) 2022-07-03 16:35:46.087913
Counter({2: 15, 3: 3, 1: 1}) 2022-07-03 16:35:46.096793
Counter({2: 15, 3: 4, 1: 1}) 2022-07-03 16:35:46.102225
Counter({2: 15, 3: 5, 1: 1}) 2022-07-03 16:35:46.104801
Counter({2: 15, 3: 6, 1: 1}) 2022-07-03 16:35:46.108452
Counter({2: 15, 3: 7, 1: 1}) 2022-07-03 16:35:46.112055
Counter({2: 15, 3: 8, 1: 1}) 2022-07-03 16:35:46.113674
Counter({2: 15, 3: 9, 1: 1}) 2022-07-03 16:35:46.133846
Counter({2: 15, 3: 10, 1: 1}) 2022-07-03 16:35:46.143671
Counter({2: 15, 3: 11, 1: 1}) 2022-07-03 16:35:46.146778
Counter({2: 15, 3: 12, 1: 1}) 2022-07-03 16:35:46.149205
Counter({2: 15, 3: 13, 1: 1}) 2022-07-03 16:35:46.153244
Counter({2: 15, 3: 14, 1: 1}) 2022-07-03 16:35:46.158444
Counter({2: 15, 3: 15, 1: 1}) 2022-07-03 16:35:46.159864
Counter({3: 16, 2: 15, 1: 1}) 2022-07-03 16:35:46.171979
Counter({3: 17, 2: 15, 1: 1}) 2022-07-03 16:35:46.172808
Counter({3: 18, 2: 15, 1: 1}) 2022-07-03 16:35:46.175848
Counter({3: 19, 2: 15, 1: 1}) 2022-07-03 16:35:46.178232
Counter({3: 20, 2: 15, 1: 1}) 2022-07-03 16:35:46.179633
Counter({3: 21, 2: 15, 1: 1}) 2022-07-03 16:35:46.180899
Counter({3: 22, 2: 15, 1: 1}) 2022-07-03 16:35:46.183725
Counter({3: 22, 2: 15, 1: 1, 4: 1}) 2022-07-03 16:35:46.364962
Counter({3: 22, 2: 15, 4: 2, 1: 1}) 2022-07-03 16:35:46.466212
Counter({3: 22, 2: 15, 4: 3, 1: 1}) 2022-07-03 16:35:46.990316
Counter({3: 22, 2: 15, 4: 4, 1: 1}) 2022-07-03 16:35:47.128759
Counter({3: 22, 2: 15, 4: 5, 1: 1}) 2022-07-03 16:35:47.289694
Counter({3: 22, 2: 15, 4: 5, 1: 1, 5: 1}) 2022-07-03 16:35:48.222477
Counter({3: 22, 2: 15, 4: 5, 5: 2, 1: 1}) 2022-07-03 16:35:56.761324
Counter({3: 22, 2: 15, 4: 5, 5: 3, 1: 1}) 2022-07-03 16:36:01.861596
Counter({3: 22, 2: 15, 4: 5, 5: 4, 1: 1}) 2022-07-03 16:36:09.815425
Counter({3: 22, 2: 15, 4: 5, 5: 5, 1: 1}) 2022-07-03 16:36:14.062410
Counter({3: 22, 2: 15, 5: 6, 4: 5, 1: 1}) 2022-07-03 16:36:17.147524
Counter({3: 22, 2: 15, 5: 6, 4: 5, 1: 1, 6: 1}) 2022-07-03 16:36:58.340025
Counter({3: 22, 2: 15, 5: 6, 4: 5, 6: 2, 1: 1}) 2022-07-03 16:37:08.069747
Counter({3: 22, 2: 15, 5: 6, 4: 5, 6: 3, 1: 1}) 2022-07-03 16:37:21.574640
Counter({3: 22, 2: 15, 5: 6, 4: 5, 6: 4, 1: 1}) 2022-07-03 16:37:36.785467
Counter({3: 22, 2: 15, 5: 6, 4: 5, 6: 5, 1: 1}) 2022-07-03 16:37:48.806371
Counter({3: 22, 2: 15, 5: 6, 6: 6, 4: 5, 1: 1}) 2022-07-03 16:39:00.477394
Counter({3: 22, 2: 15, 6: 7, 5: 6, 4: 5, 1: 1}) 2022-07-03 16:39:24.277178
Counter({3: 22, 2: 15, 6: 8, 5: 6, 4: 5, 1: 1}) 2022-07-03 16:40:07.323876
Counter({3: 22, 2: 15, 6: 9, 5: 6, 4: 5, 1: 1}) 2022-07-03 16:40:11.881194
Counter({3: 22, 2: 15, 6: 10, 5: 6, 4: 5, 1: 1}) 2022-07-03 16:40:47.823420

---------------------------------------------------------------------------
KeyboardInterrupt                         Traceback (most recent call last)
Input In [1], in <cell line: 8>()
      5 A5 = create_alternating_group_of_order(5) # order 60
      7 sizes = Counter()
----> 8 for g in all_subgroups_of_group(A5):
      9     sizes.update([len(g)])
     10     print(sizes, datetime.now())

File ~/code/permutations/groups.py:55, in all_subgroups_of_group(known_group)
     53 for naked_collection_ in combinations(known_group, i-1):
     54     collection_ = PermutationCollection(naked_collection_ + (E,))
---> 55     if is_group(collection_):
     56         yield collection_

KeyboardInterrupt:

In [2]:

sizes = Counter()
A4 = create_alternating_group_of_order(4) # order 12

for g in all_subgroups_of_group(A4):
    sizes.update([len(g)])
    print(sizes, datetime.now())

Counter({1: 1}) 2022-07-03 17:10:02.415670
Counter({1: 1, 2: 1}) 2022-07-03 17:10:02.416235
Counter({2: 2, 1: 1}) 2022-07-03 17:10:02.416542
Counter({2: 3, 1: 1}) 2022-07-03 17:10:02.416876
Counter({2: 3, 1: 1, 3: 1}) 2022-07-03 17:10:02.417196
Counter({2: 3, 3: 2, 1: 1}) 2022-07-03 17:10:02.418998
Counter({2: 3, 3: 3, 1: 1}) 2022-07-03 17:10:02.419510
Counter({3: 4, 2: 3, 1: 1}) 2022-07-03 17:10:02.420378
Counter({3: 4, 2: 3, 1: 1, 4: 1}) 2022-07-03 17:10:02.425559

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