{
  "groupinfo": {
    "identifier": "He",
    "automorphisms": [
      "He.2"
    ],
    "tomInfo": {
      "identifier": "He",
      "hasStraightLineProgramsTom": true
    }
  },
  "primes": [2,3,5,7,17],
  "2": {
    "radicalNormalizers": [
      null,
      {
        "normalizer": "s4xpsl(3,2)",
        "automorphisms": [
          "S4xL3(2).2"
        ],
        "ADinfo": [2,"(2^2)_a","(2^2)_a \\times L_3(2)","S_3 \\times L_3(2)"],
        "subgroupinfo": [
          ["tom",[7,1638]],
          ["max",9]
        ]
      },
      {
        "normalizer": "2^2.psl(3,4).s3",
        "automorphisms": [
          "2^2.L3(4).D12"
        ],
        "ADinfo": [3,"(2^2)_b","(2^2)_b.L_3(4)","L_3(4).S_3"],
        "subgroupinfo": [
          ["tom",[6,1695]],
          ["max",2]
        ]
      },
      {
        "normalizer": "D8xL3(2)",
        "automorphisms": [
          [1,2,3,4,6,5,7,8,9,10,12,11,13,14,15,16,18,17,19,20,21,22,24,23,25,26,27,28,30,29]
        ],
        "ADinfo": [4,"D_8","2 \\times L_3(2)","L_3(2)"],
        "subgroupinfo": [
          ["tom",[44,1557]]
        ]
      },
      {
        "normalizer": "2^6:3.s6",
        "automorphisms": [
          false
        ],
        "ADinfo": [5,"(2^6)_a","(2^6)_a","3.S_6"],
        "subgroupinfo": [
          ["tom",[641,1691]],
          ["max",3]
        ]
      },
      {
        "normalizer": "2^6:3.s6",
        "automorphisms": [
          false
        ],
        "ADinfo": [6,"(2^6)_b","(2^6)_b","3.S_6"],
        "subgroupinfo": [
          ["tom",[642,1692]],
          ["max",4]
        ]
      },
      {
        "normalizer": "2^1+6.psl(3,2)",
        "automorphisms": [
          "2^(1+6)_+.L3(2).2"
        ],
        "ADinfo": [7,"2^{1+6}_+","2","L_3(2)"],
        "subgroupinfo": [
          ["tom",[988,1683]],
          ["max",5]
        ]
      },
      {
        "normalizer": "NRS(M24,2^(2+2+4)a)",
        "automorphisms": [
          false
        ],
        "ADinfo": [8,"(2^2.2^6)_a","2^2","S_3^2"],
        "subgroupinfo": [
          ["tom",[1265,1670]]
        ]
      },
      {
        "normalizer": "2^(2+2+4).(S3xS3)",
        "automorphisms": [
          false
        ],
        "ADinfo": [9,"(2^2.2^6)_b","2^2","S_3^2"],
        "subgroupinfo": [
          ["tom",[1266,1669]]
        ]
      },
      {
        "normalizer": "NRS(M24,2^(4+4))",
        "automorphisms": [
          "2^(4+4).(S3xS3).2"
        ],
        "ADinfo": [10,"2^4.2^4","2^4","S_3^2"],
        "subgroupinfo": [
          ["tom",[1264,1671]]
        ]
      },
      {
        "normalizer": "[2^9].S3a",
        "automorphisms": [
          false
        ],
        "ADinfo": [11,"(2^{1+6}_+.2^2)_a","2","S_3"],
        "subgroupinfo": [
          ["tom",[1444,1618]]
        ]
      },
      {
        "normalizer": "NRS(M24,[2^9]a)",
        "automorphisms": [
          false
        ],
        "ADinfo": [12,"(2^{1+6}_+.2^2)_b","2","S_3"],
        "subgroupinfo": [
          ["tom",[1445,1617]]
        ]
      },
      {
        "normalizer": "[2^9].S3b",
        "automorphisms": [
          false
        ],
        "ADinfo": [13,"(2^2.2^3.2^4)_a","2","S_3"],
        "subgroupinfo": [
          ["tom",[1446,1616]]
        ]
      },
      {
        "normalizer": "NRS(M24,[2^9]b)",
        "automorphisms": [
          false
        ],
        "ADinfo": [14,"(2^2.2^3.2^4)_b","2","S_3"],
        "subgroupinfo": [
          ["tom",[1447,1615]]
        ]
      },
      {
        "normalizer": "M24N2",
        "automorphisms": [
          [1,2,5,4,3,7,6,8,11,10,9,16,21,18,17,12,15,14,20,19,13,26,25,24,23,22,32,30,29,28,31,27,35,46,33,44,45,40,42,38,47,39,43,36,37,34,41,55,50,49,51,57,58,54,48,56,52,53,60,59]
        ],
        "ADinfo": [15,"D","2","1"],
        "subgroupinfo": [
          ["tom",[1529,1529]]
        ]
      }
    ],
    "defectNormalizers": [["M24N2",[1]],["D8xL3(2)",[2]]]
  },
  "3": {
    "radicalNormalizers": [
      null,
      {
        "normalizer": "3.A7.2",
        "automorphisms": [
          "3.s7x2"
        ],
        "ADinfo": [2,"(3)_a","(3)_a.A_7","S_7"],
        "subgroupinfo": [
          ["tom",[4,1679]],
          ["max",7]
        ]
      },
      {
        "normalizer": "L3(2)xS3",
        "automorphisms": [
          [1,2,3,4,5,6,7,8,9,10,11,12,16,17,18,13,14,15]
        ],
        "ADinfo": [3,"(3)_b","(3)_b \\times L_2(7)","2 \\times L_2(7)"],
        "subgroupinfo": [
          ["tom",[5,1528]]
        ]
      },
      {
        "normalizer": "hed3",
        "automorphisms": [
          "NDG(He.2,3^2)"
        ],
        "ADinfo": [4,"3^2","3^2 \\times 2^2","2^2.GL_2(3)"],
        "subgroupinfo": [
          ["tom",[72,1587]]
        ]
      },
      {
        "normalizer": "3^(1+2):D8",
        "automorphisms": [
          []
        ],
        "ADinfo": [5,"3^{1+2}_+","3","D_8"],
        "subgroupinfo": [
          ["tom",[302,1249]]
        ]
      }
    ],
    "defectNormalizers": [["3^(1+2):D8",[1]],["hed3",[2]],["L3(2)xS3",[3,4,5]]]
  },
  "5": {
    "radicalNormalizers": [
      null,
      {
        "normalizer": "(A5xD10).2",
        "automorphisms": [
          "5:4xS5"
        ],
        "ADinfo": [2,"5","5 \\times A_5","A_5.4"],
        "subgroupinfo": [
          ["tom",[17,1551]]
        ]
      },
      {
        "normalizer": "5^2:4A4",
        "automorphisms": [
          "Fi22N5"
        ],
        "ADinfo": [3,"5^2","5^2","4.A_4"],
        "subgroupinfo": [
          ["tom",[301,1552]],
          ["max",11]
        ]
      }
    ],
    "defectNormalizers": [["5^2:4A4",[1]],["(A5xD10).2",[2]]]
  },
  "7": {
    "radicalNormalizers": [
      null,
      {
        "normalizer": "7:3xpsl(3,2)",
        "automorphisms": [
          "7:6xL3(2)"
        ],
        "ADinfo": [2,"7","7 \\times L_2(7)","3 \\times L_2(7)"],
        "subgroupinfo": [
          ["tom",[25,1626]],
          ["max",10]
        ]
      },
      {
        "normalizer": "7^2:2psl(2,7)",
        "automorphisms": [
          "7^2:2.L2(7).2"
        ],
        "ADinfo": [3,"7^2","7^2","SL_2(7)"],
        "subgroupinfo": [
          ["tom",[620,1682]],
          ["max",6]
        ]
      },
      {
        "normalizer": "7^(1+2):(S3x3)",
        "automorphisms": [
          "7^(1+2):(S3x6)"
        ],
        "ADinfo": [4,"7^{1+2}_+","7","S_3 \\times 3"],
        "subgroupinfo": [
          ["tom",[1351,1652]],
          ["max",8]
        ]
      }
    ],
    "defectNormalizers": [["7^(1+2):(S3x3)",[1]],["7:3xpsl(3,2)",[4]]]
  },
  "17": {
    "radicalNormalizers": [
      null,
      {
        "normalizer": "17:8",
        "automorphisms": [
          "17:16"
        ],
        "subgroupinfo": [
          ["tom",[229,1108]]
        ]
      }
    ],
    "defectNormalizers": [["17:8",[1]]]
  }
}
