{
  "named_cells": 141626,
  "named_groups": 23953,
  "never_named_groups": 1047,
  "admissible_pairs": 165836,
  "open_pairs_if_named_subset_of_admissible": 24210,
  "groups_by_named_signature_count": [
    1047,
    920,
    1378,
    1860,
    2667,
    3333,
    4550,
    5106,
    922,
    876,
    512,
    672,
    818,
    339
  ],
  "hard_core": {
    "nonsolvable_pairs": 419,
    "simple_cores": 6
  },
  "census_note": "On the part the involution count can see, no open cell is excluded by group theory."
}