data:
- - ab: 0
    abstract_label: '120.34'
    arith_equiv: 0
    auts: 1
    bound_quotients: 47
    bound_siblings: 47
    cyc: 0
    gapid: 34
    gapidfull: '[120,34]'
    gens:
    - - - 1
        - 3
        - 5
        - 7
        - 9
      - - 2
        - 4
        - 6
        - 8
        - 10
    - - - 1
        - 2
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      - - 8
        - 9
    id: 134
    label: 10T13
    n: 10
    name: S_5(10d)
    nilpotency: -1
    num_conj_classes: 7
    order: 120
    parity: -1
    pretty: $S_5$
    prim: 1
    quotients:
    - - 2
      - - 2
        - 1
      - 1
    siblings:
    - - - 5
        - 5
      - 1
    - - - 6
        - 14
      - 1
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      - 1
    - - - 12
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      - 1
    - - - 15
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      - 1
    - - - 20
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    - - - 20
        - 32
      - 1
    - - - 20
        - 35
      - 1
    - - - 24
        - 202
      - 1
    - - - 30
        - 22
      - 1
    - - - 30
        - 25
      - 1
    - - - 30
        - 27
      - 1
    - - - 40
        - 62
      - 1
    solv: 0
    subfields: []
    t: 13
label_cols:
- label
labels:
- 10T13
tables:
- gps_transitive
timestamp: '2024-04-25T07:56:25.570306'