{
  "groupinfo": {
    "identifier": "Ru",
    "automorphisms": []
  },
  "primes": [2,3,5,7,13,29],
  "2": {
    "radicalNormalizers": [
      null,
      {
        "normalizer": "(2^2xSz(8)):3",
        "ADinfo": [2,"2^2","2^2 \\times Sz(8)","Sz(8):3"],
        "subgroupinfo": [
          ["max",3]
        ]
      },
      {
        "normalizer": "2^6:u3(3):2",
        "ADinfo": [3,"2^6","2^6","U_3(3):2"],
        "subgroupinfo": [
          ["max",2]
        ]
      },
      {
        "normalizer": "2.2^4+6:S5",
        "ADinfo": [4,"2.2^{4+6}","2","S_5"],
        "subgroupinfo": [
          ["max",6]
        ]
      },
      {
        "normalizer": "2^3+8:L3(2)",
        "ADinfo": [5,"2^{3+8}","2^3","L_3(2)"],
        "subgroupinfo": [
          ["max",4]
        ]
      },
      {
        "normalizer": "2.2^(4+6).2.S3",
        "ADinfo": [6,"2.2^{4+6}:2","2","S_3"],
        "subgroupinfo": [
          ["compose",[
            "RuG1-max6W2",
            [[[[2,1,1,1,2,-1],[2,-1,1,1,2,-1,1,1,2,8],[2,8,1,1,2,2]]],
            2]
          ]]
        ]
      },
      {
        "normalizer": "2^(2+1+2).2^(1+1+2).2^2.S4",
        "ADinfo": [7,"2^{3+8}:2^2","2^2","S_3"],
        "subgroupinfo": [
          ["compose",[
            "RuG1-max4W2",
            [[[[2,-1,1,1,2,12],[2,12,1,1,2,2],[2,7]]],
            2]
          ]]
        ]
      },
      {
        "normalizer": "2.2^(2+2).2^(1+1+2+2):S4",
        "ADinfo": [8,"2.2^{4+6}:2^2","2","S_3"],
        "subgroupinfo": [
          ["compose",[
            "RuG1-max4W2",
            [[[[2,-1,1,1,2,12],[2,11,1,1,2,2]]],
            2]
          ]]
        ]
      },
      {
        "normalizer": "RuN2",
        "ADinfo": [9,"2.2^{4+6}:D_8","2","1"],
        "subgroupinfo": [
          ["compose",[
            "RuG1-max6W2",
            [[[2,1,1,1],[3,3],[2,8],[5,1,1,1,2,1],[[2,1,3,1,5,1],[6,2],
            [4,1,2,1]]],
            2]
          ]]
        ]
      }
    ],
    "defectNormalizers": [["RuN2",[1]],["(2^2xSz(8)):3",[2]]]
  },
  "3": {
    "radicalNormalizers": [
      null,
      {
        "normalizer": "3.A6.2^2",
        "ADinfo": [2,"3","3.M_{10}","A_6.2^2"],
        "subgroupinfo": [
          ["max",11]
        ]
      },
      {
        "normalizer": "3^2.2.S4",
        "ADinfo": [3,"3^2","3^2","GL_2(3)"],
        "subgroupinfo": [
          ["compose",[
            "RuG1-max1W1",
            [[[1,1,2,1],[3,1,1,1],[4,2],[2,1,1,1,2,3,1,1,2,2,1,1],
            [[6,-1,5,1,6,1],[3,3]]],
            2],
            [[[1,1,2,1],[3,4],[2,2],[3,1,5,1],[6,3],[3,1,2,1],[3,3],[8,2],
            [[7,1,10,1,9,1,1,1],[4,1]]],
            2],
            [[[2,1,1,1],[3,2,2,-1,1,1],[4,6],[1,1,2,1],
            [2,1,6,1,1,1,2,-1,1,1,6,-1,2,1,1,1],[7,3],[5,1,8,1],
            [[8,1,5,1,9,-1,8,-1,9,2,8,1],[5,1,8,-2,5,1]]],
            2]
          ]]
        ]
      },
      {
        "normalizer": "3^(1+2):SD16",
        "ADinfo": [4,"3^{1+2}_+","3","SD_{16}"],
        "subgroupinfo": [
          ["compose",[
            "RuG1-max11W1",
            [[[[1,1,2,2,1,1,2,2,1,1,2,1,1,1],
            [1,1,2,-1,1,1,2,1,1,1,2,1,1,1,2,1,1,1]]],
            2]
          ]]
        ]
      }
    ],
    "defectNormalizers": [["3^(1+2):SD16",[1]],["3.A6.2^2",[5,6]]]
  },
  "5": {
    "radicalNormalizers": [
      null,
      {
        "normalizer": "5:4xa5",
        "ADinfo": [2,"5","5 \\times A_5","4 \\times A_5"],
        "subgroupinfo": [
          ["max",15]
        ]
      },
      {
        "normalizer": "5^2:4s5",
        "ADinfo": [3,"5^2","5^2","GL_2(5)"],
        "subgroupinfo": [
          ["max",10]
        ]
      },
      {
        "normalizer": "5^1+2:(2^5)",
        "ADinfo": [4,"5^{1+2}_+","5","4.D_8"],
        "subgroupinfo": [
          ["max",12]
        ]
      }
    ],
    "defectNormalizers": [["5^1+2:(2^5)",[1]],["5:4xa5",[2]]]
  },
  "7": {
    "radicalNormalizers": [
      null,
      {
        "normalizer": "(2^2xD14):3",
        "subgroupinfo": [
          ["compose",[
            "RuG1-max3W1",
            [[[1,1,2,1],[3,1,2,1],[4,1,3,1],[[5,3,1,1],[2,1]]],
            2],
            "Sz8d3G1-max5W1"
          ]]
        ]
      }
    ],
    "defectNormalizers": [["(2^2xD14):3",[1,9]]]
  },
  "13": {
    "radicalNormalizers": [
      null,
      {
        "normalizer": "(2^2x13:4):3",
        "subgroupinfo": [
          ["compose",[
            "RuG1-max3W1",
            [[[1,1,2,1],[3,1,2,1],[4,1,3,1],[[5,3,1,1],[2,1]]],
            2],
            ["union",[
              "Sz8d3G1-max3W1",
              [[[2,2,1,1,2,1,1,1],[[3,13]]],
              2]
            ]]
          ]]
        ]
      }
    ],
    "defectNormalizers": [["(2^2x13:4):3",[1,2]]]
  },
  "29": {
    "radicalNormalizers": [
      null,
      {
        "normalizer": "29:14",
        "subgroupinfo": [
          ["compose",[
            "RuG1-max9W1",
            [[[2,1,1,1],[2,1,3,1],[3,1,4,1],[5,2],[3,3],[[6,1,2,1],
            [7,1,5,1,2,2]]],
            2]
          ]]
        ]
      }
    ],
    "defectNormalizers": [["29:14",[1]]]
  }
}
