data:
- - ab: 0
    abstract_label: '72.43'
    arith_equiv: 0
    auts: 2
    bound_quotients: 47
    bound_siblings: 47
    cyc: 0
    gapid: 43
    gapidfull: '[72,43]'
    gens:
    - - - 1
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        - 17
      - - 3
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        - 4
        - 16
      - - 5
        - 14
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        - 13
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      - - 8
        - 12
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      - - 13
        - 17
        - 16
      - - 14
        - 18
        - 15
    id: 2655
    label: 18T40
    n: 18
    name: t18n40
    nilpotency: -1
    num_conj_classes: 9
    order: 72
    parity: -1
    prim: 0
    quotients:
    - - 2
      - - 2
        - 1
      - 1
    - - 6
      - - 3
        - 2
      - 4
    - - 18
      - - 9
        - 5
      - 1
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      - - 4
        - 5
      - 1
    siblings:
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        - 44
      - 3
    - - - 18
        - 37
      - 1
    - - - 24
        - 79
      - 3
    - - - 36
        - 23
      - 1
    - - - 36
        - 56
      - 1
    solv: 1
    subfields:
    - - - 3
        - 2
      - 4
    - - - 6
        - 8
      - 1
    - - - 9
        - 5
      - 1
    t: 40
label_cols:
- label
labels:
- 18T40
tables:
- gps_transitive
timestamp: '2024-05-18T05:06:44.016111'