data:
- - ab: 0
    abstract_label: '24.13'
    arith_equiv: 0
    auts: 2
    bound_quotients: 47
    bound_siblings: 47
    cyc: 0
    gapid: 13
    gapidfull: '[24,13]'
    gens:
    - - - 1
        - 3
        - 5
      - - 2
        - 4
        - 6
    - - - 3
        - 6
    id: 20
    label: 6T6
    n: 6
    name: 2A_4(6) = [2^3]3 = 2 wr 3
    nilpotency: -1
    num_conj_classes: 8
    order: 24
    parity: -1
    pretty: $A_4\times C_2$
    prim: 0
    quotients:
    - - 2
      - - 2
        - 1
      - 1
    - - 3
      - - 3
        - 1
      - 1
    - - 6
      - - 6
        - 1
      - 1
    - - 12
      - - 4
        - 4
      - 1
    siblings:
    - - - 8
        - 13
      - 1
    - - - 12
        - 6
      - 1
    - - - 12
        - 7
      - 1
    - - - 24
        - 9
      - 1
    solv: 1
    subfields:
    - - - 3
        - 1
      - 1
    t: 6
label_cols:
- label
labels:
- 6T6
tables:
- gps_transitive
timestamp: '2024-04-25T12:27:40.021432'