data:
- - ab: 0
    abstract_label: '162.11'
    arith_equiv: 0
    auts: 1
    bound_quotients: 47
    bound_siblings: 47
    cyc: 0
    gapid: 11
    gapidfull: '[162,11]'
    gens:
    - - - 1
        - 2
        - 9
    - - - 1
        - 2
      - - 4
        - 5
      - - 7
        - 8
    - - - 1
        - 4
        - 7
      - - 2
        - 5
        - 8
      - - 3
        - 6
        - 9
    id: 109
    label: 9T22
    n: 9
    name: '[3^3:2]3'
    nilpotency: -1
    num_conj_classes: 13
    order: 162
    parity: -1
    pretty: $(C_3^3:C_3):C_2$
    prim: 0
    quotients:
    - - 2
      - - 2
        - 1
      - 1
    - - 3
      - - 3
        - 1
      - 1
    - - 6
      - - 3
        - 2
      - 1
    - - 6
      - - 6
        - 1
      - 1
    - - 18
      - - 6
        - 5
      - 1
    - - 54
      - - 9
        - 11
      - 1
    siblings:
    - - - 9
        - 22
      - 2
    - - - 18
        - 85
      - 3
    - - - 27
        - 53
      - 3
    - - - 27
        - 62
      - 1
    - - - 27
        - 63
      - 1
    solv: 1
    subfields:
    - - - 3
        - 1
      - 1
    t: 22
label_cols:
- label
labels:
- 9T22
tables:
- gps_transitive
timestamp: '2024-05-21T07:57:56.330090'