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  • gps_groups • Show schema
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '16.14', 'all_subgroups_known': False, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 4, 'aut_exponent': 48, 'aut_gen_orders': [8, 8, 8, 6, 4, 8], 'aut_gens': [[42827446638264052357262951957806745768140, 10976264683304533931398633229173848456170, 158621406007028569078125179269695306322150, 254956847163753687271967032625089506136773], [82977800415958601991787441326136998138805, 73808997906063969258716152377759727016385, 137694889326446422514130005321454971120800, 253802212870559269748968438232741540792927], [22169587081533027671652093957150324094929, 265280275725707685237202921729209281446445, 298184838691298530547900149358049987096960, 295495947874551474999459063680255852139], [10976535771736003973702379679291912284413, 53438452545606718585482018705394551125749, 350692589500233569548710162560253345628556, 244623452238113665010560788870182565005358], 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'autcent_exponent': 1, 'autcent_group': None, 'autcent_hash': 1, 'autcent_nilpotent': True, 'autcent_order': 1, 'autcent_solvable': True, 'autcent_split': None, 'autcent_supersolvable': True, 'autcent_tex': 'C_1', 'autcentquo_abelian': None, 'autcentquo_cyclic': None, 'autcentquo_exponent': None, 'autcentquo_group': None, 'autcentquo_hash': None, 'autcentquo_nilpotent': None, 'autcentquo_order': 53747712, 'autcentquo_solvable': None, 'autcentquo_supersolvable': None, 'autcentquo_tex': None, 'cc_stats': [[1, 1, 1], [2, 18, 2], [2, 72, 2], [2, 81, 2], [2, 162, 2], [2, 648, 4], [2, 1296, 2], [2, 1458, 2], [2, 2592, 2], [2, 5832, 2], [2, 6561, 1], [3, 16, 2], [3, 32, 2], [3, 64, 3], [3, 128, 1], [3, 256, 6], [3, 512, 3], [3, 1024, 3], [4, 324, 2], [4, 648, 2], [4, 2916, 4], [4, 5832, 4], [4, 11664, 4], [4, 23328, 6], [4, 26244, 4], [4, 52488, 3], [4, 93312, 2], [4, 104976, 6], [4, 209952, 2], [6, 144, 10], [6, 288, 6], [6, 576, 6], [6, 1152, 16], [6, 1296, 14], [6, 2304, 18], [6, 2592, 6], [6, 4608, 10], [6, 5184, 19], [6, 9216, 2], [6, 10368, 19], [6, 11664, 6], [6, 20736, 16], [6, 23328, 2], [6, 41472, 3], [6, 82944, 1], [8, 324, 4], [8, 2916, 8], [8, 11664, 8], [8, 26244, 8], [8, 52488, 14], [8, 104976, 8], [8, 419904, 2], [8, 839808, 2], [12, 2592, 4], [12, 5184, 8], [12, 10368, 6], [12, 20736, 2], [12, 23328, 12], [12, 46656, 16], [12, 93312, 4], [12, 186624, 6], [12, 373248, 2], [16, 419904, 4], [24, 2592, 8], [24, 5184, 8], [24, 10368, 4], [24, 23328, 24], [24, 46656, 8]], 'center_label': '1.1', 'center_order': 1, 'central_product': False, 'central_quotient': '13436928.vv', 'commutator_count': 1, 'commutator_label': None, 'complements_known': False, 'complete': False, 'complex_characters_known': False, 'composition_factors': ['2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '3.1', '3.1', '3.1', '3.1', '3.1', '3.1', '3.1', '3.1'], 'composition_length': 19, 'conjugacy_classes_known': True, 'counter': 568, 'cyclic': False, 'derived_length': 4, 'dihedral': False, 'direct_factorization': [], 'direct_product': False, 'div_stats': [[1, 1, 1, 1], [2, 18, 1, 2], [2, 72, 1, 2], [2, 81, 1, 2], [2, 162, 1, 2], [2, 648, 1, 4], [2, 1296, 1, 2], [2, 1458, 1, 2], [2, 2592, 1, 2], [2, 5832, 1, 2], [2, 6561, 1, 1], [3, 16, 1, 2], [3, 32, 1, 2], [3, 64, 1, 3], [3, 128, 1, 1], [3, 256, 1, 6], [3, 512, 1, 3], [3, 1024, 1, 3], [4, 324, 1, 2], [4, 648, 1, 2], [4, 2916, 1, 4], [4, 5832, 1, 4], [4, 11664, 1, 4], [4, 23328, 1, 6], [4, 26244, 1, 4], [4, 52488, 1, 3], [4, 93312, 1, 2], [4, 104976, 1, 6], [4, 209952, 1, 2], [6, 144, 1, 10], [6, 288, 1, 6], [6, 576, 1, 6], [6, 1152, 1, 16], [6, 1296, 1, 14], [6, 2304, 1, 18], [6, 2592, 1, 6], [6, 4608, 1, 10], [6, 5184, 1, 19], [6, 9216, 1, 2], [6, 10368, 1, 19], [6, 11664, 1, 6], [6, 20736, 1, 16], [6, 23328, 1, 2], [6, 41472, 1, 3], [6, 82944, 1, 1], [8, 324, 2, 2], [8, 2916, 2, 4], [8, 11664, 2, 4], [8, 26244, 2, 4], [8, 52488, 1, 2], [8, 52488, 2, 6], [8, 104976, 2, 4], [8, 419904, 1, 2], [8, 839808, 1, 2], [12, 2592, 1, 4], [12, 5184, 1, 8], [12, 10368, 1, 6], [12, 20736, 1, 2], [12, 23328, 1, 12], [12, 46656, 1, 16], [12, 93312, 1, 4], [12, 186624, 1, 6], [12, 373248, 1, 2], [16, 419904, 2, 2], [24, 2592, 2, 4], [24, 5184, 2, 4], [24, 10368, 2, 2], [24, 23328, 2, 12], [24, 46656, 2, 4]], 'element_repr_type': 'Perm', 'elementary': 1, 'eulerian_function': None, 'exponent': 48, 'exponents_of_order': [11, 8], 'factors_of_aut_order': [2, 3], 'factors_of_order': [2, 3], 'faithful_reps': [[32, 1, 32], [64, 0, 16], [64, 1, 16], [128, 0, 4], [128, 1, 18], [256, 1, 40], [512, 1, 14], [1024, 1, 6]], 'familial': False, 'frattini_label': '1.1', 'frattini_quotient': '13436928.vv', 'hash': 8306355141317458372, 'hyperelementary': 1, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 48, 'inner_gen_orders': [12, 12, 8, 6], 'inner_gens': [[42827446638264052357262951957806745768140, 51709444767873846820599268541982148179546, 361016552299128331270558969883565434806456, 234871823686603472782879046971114003104598], [22169587081539834529978640228829846066760, 10976264683304533931398633229173848456170, 117324073151970759204955699505886346094147, 275319234937453337476583246335724776954158], [263839626161811600604114037988974272799240, 43113222916739203645086907983458358286050, 158621406007028569078125179269695306322150, 295495947873355997938967482922226049237], [22169587081543029142418205007211645038540, 33075817821493834943142076486961782599876, 370768698898618791898789582818860897917470, 254956847163753687271967032625089506136773]], 'inner_hash': 8306355141317458372, 'inner_nilpotent': False, 'inner_order': 13436928, 'inner_split': None, 'inner_tex': 'C_3^8:C_4^2.C_2\\wr D_4', 'inner_used': [1, 2, 3, 4], 'irrC_degree': 32, 'irrQ_degree': 32, 'irrQ_dim': None, 'irrR_degree': None, 'irrep_stats': [[1, 16], [2, 28], [4, 60], [8, 15], [16, 64], [32, 80], [64, 48], [128, 34], [256, 40], [512, 14], [1024, 6]], 'label': '13436928.vv', 'linC_count': None, 'linC_degree': None, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': None, 'linQ_degree_count': None, 'linQ_dim': None, 'linQ_dim_count': None, 'linR_count': None, 'linR_degree': None, 'maximal_subgroups_known': True, 'metabelian': False, 'metacyclic': False, 'monomial': None, 'name': 'C3^8:C4^2.C2wrD4', 'ngens': 4, 'nilpotency_class': -1, 'nilpotent': False, 'normal_counts': [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 183, 'number_characteristic_subgroups': 77, 'number_conjugacy_classes': 405, 'number_divisions': 353, 'number_normal_subgroups': 211, 'number_subgroup_autclasses': None, 'number_subgroup_classes': None, 'number_subgroups': None, 'old_label': None, 'order': 13436928, 'order_factorization_type': 33, 'order_stats': [[1, 1], [2, 32175], [3, 6560], [4, 1722384], [6, 1116000], [8, 4421952], [12, 3421440], [16, 1679616], [24, 1036800]], 'outer_abelian': True, 'outer_cyclic': False, 'outer_equivalence': True, 'outer_exponent': 2, 'outer_gen_orders': [2, 2], 'outer_gen_pows': [0, 10334225962850183667868653115961526201600], 'outer_gens': [[72367049151352519769360471650609271374540, 22169842254784664055149535884308545026709, 179895534173118109821794500105589362041078, 264708475715266781443657395890992986786601], [10976535771727166391177501552279106974383, 222819888638854436140175109795277450184906, 338917747686833801297231326499797307756758, 74451580138169610856276397652305787117060]], 'outer_group': '4.2', 'outer_hash': 2, 'outer_nilpotent': True, 'outer_order': 4, 'outer_permdeg': 4, 'outer_perms': [7, 16], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'C_2^2', 'pc_rank': None, 'perfect': False, 'permutation_degree': 36, 'pgroup': 0, 'primary_abelian_invariants': [2, 2, 2, 2], 'quasisimple': False, 'rank': 4, 'rational': False, 'rational_characters_known': False, 'ratrep_stats': [[1, 16], [2, 28], [4, 20], [8, 23], [16, 70], [32, 48], [64, 48], [128, 38], [256, 42], [512, 14], [1024, 6]], 'representations': {'PC': {'code': '25245287621042646681129517899480788576767048258021365686973027606405254501330896097267567868862538773669780966245878347008458131801793187311481801918282385165832763366342460694759593484726408841218354481615908341822421003744446638315503372051174344011413558565271996806701508579197369838775740367878621092198632334716794411917915915155499956150735070817107885499411228345161556615037767307255879842615705855826716775876348914462061141209027829582645166133291550503755459994568511675255266696109256642182589003626851691204334303788778050674516619517950959965024392479785382412899002107978101749441919427275465322168969451097446892894731646013157460510829567895773650653033807101706200982187815148375211450829040998163848489814277706968897440337998357366251207440269395350613915457977111294007848090804896869569230786984070745185151178341311448843432675327040538784125321163786737557900938734218305406410474863022896283538405306228713924155913200002167313910201402764440780213441294818982180448541452843114623338494701001537962804500481434975888389420090495', 'gens': [1, 2, 4, 5, 8, 10, 14, 15, 16, 17, 18, 19], 'pres': [19, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 82123776, 156838389, 96, 211618886, 76266040, 622595043, 88838854, 11568001, 112157212, 745096404, 201764063, 260614302, 153514551, 270, 1448529605, 637748856, 207946075, 22334486, 328, 416381510, 889065657, 67119292, 92441447, 1503656967, 676612218, 231385389, 145922496, 45983123, 7690694, 29900649, 444, 21625352, 279252603, 52925230, 10380449, 15004308, 6961855, 3227234, 658852, 1333562889, 50903308, 409001647, 219092866, 51120725, 78164584, 22911843, 13565002, 1013051, 560, 202566154, 181863469, 63335408, 32951843, 6286806, 655529, 687316, 2214707, 452856, 618, 336900107, 1519238814, 8959537, 40901444, 19352727, 7137418, 514493, 2106864, 1102771, 676, 47803423, 60908274, 30264485, 102840, 98907, 47550, 348106765, 794339872, 90703923, 30030406, 18386009, 10572012, 153343, 1149266, 38469, 319384, 153419, 3414, 304680974, 992438433, 72230452, 22982471, 25280730, 12312109, 492608, 1929027, 123286, 266945, 143844, 10483, 431456271, 908673058, 109264949, 30117960, 20312155, 12782702, 1576065, 1576084, 394151, 211770, 138829, 33056, 232187920, 883645347, 114605622, 58047049, 20465372, 1488495, 5023426, 2930405, 1255992, 449803, 15710, 104877, 53581860, 1021206583, 191476298, 95738205, 111694576, 15956483, 7978326, 1329884, 4311760914, 262831141, 673712696, 134742603, 235799518, 134742641, 50528580, 25264375, 4210893]}, 'Perm': {'d': 36, 'gens': [10976264683304533931398633229173848456170, 158621406007028569078125179269695306322150, 254956847163753687271967032625089506136773, 42827446638264052357262951957806745768140]}}, 'schur_multiplier': [2, 2, 2, 2, 2, 2, 2, 2], 'semidirect_product': None, 'simple': False, 'smith_abelian_invariants': [2, 2, 2, 2], 'solvability_type': 17, 'solvable': True, 'subgroup_inclusions_known': False, 'subgroup_index_bound': 8, 'supersolvable': False, 'sylow_subgroups_known': True, 'tex_name': 'C_3^8:C_4^2.C_2\\wr D_4', 'transitive_degree': 36, 'wreath_data': None, 'wreath_product': None}
  • gps_conj_classes • Show schema
    Showing the first 100 of 405 matching records in this table.
    • id: 147486819
      {'aut_label': '1A', 'centralizer': '1.a1', 'counter': 1, 'group_counter': 568, 'group_order': 13436928, 'label': '1A', 'order': 1, 'powers': [1, 1], 'representative': 0, 'size': 1}
    • id: 147486930
      {'aut_label': '2A', 'centralizer': None, 'counter': 2, 'group_counter': 568, 'group_order': 13436928, 'label': '2A', 'order': 2, 'powers': [1, 2], 'representative': 8837534350986797277098861082, 'size': 18}
    • id: 147487041
      {'aut_label': '2A', 'centralizer': None, 'counter': 3, 'group_counter': 568, 'group_order': 13436928, 'label': '2B', 'order': 2, 'powers': [1, 3], 'representative': 10016415535865972421505919245, 'size': 18}
    • id: 147487152
      {'aut_label': '2C', 'centralizer': None, 'counter': 4, 'group_counter': 568, 'group_order': 13436928, 'label': '2C', 'order': 2, 'powers': [1, 4], 'representative': 81081325226502881579006, 'size': 72}
    • id: 147487169
      {'aut_label': '2C', 'centralizer': None, 'counter': 5, 'group_counter': 568, 'group_order': 13436928, 'label': '2D', 'order': 2, 'powers': [1, 5], 'representative': 8837663606204687685628794805, 'size': 72}
    • id: 147487180
      {'aut_label': '2E', 'centralizer': '81.A', 'counter': 6, 'group_counter': 568, 'group_order': 13436928, 'label': '2E', 'order': 2, 'powers': [1, 6], 'representative': 192696399603209587298101907658486659478925, 'size': 81}
    • id: 147487191
      {'aut_label': '2E', 'centralizer': '81.A', 'counter': 7, 'group_counter': 568, 'group_order': 13436928, 'label': '2F', 'order': 2, 'powers': [1, 7], 'representative': 193278461195235075393913205461973951307162, 'size': 81}
    • id: 147487202
      {'aut_label': '2G', 'centralizer': None, 'counter': 8, 'group_counter': 568, 'group_order': 13436928, 'label': '2G', 'order': 2, 'powers': [1, 8], 'representative': 192696399603208408416917028483342252420762, 'size': 162}
    • id: 147487213
      {'aut_label': '2H', 'centralizer': None, 'counter': 9, 'group_counter': 568, 'group_order': 13436928, 'label': '2H', 'order': 2, 'powers': [1, 9], 'representative': 15593415490930366881797515, 'size': 162}
    • id: 147486820
      {'aut_label': '2I', 'centralizer': None, 'counter': 10, 'group_counter': 568, 'group_order': 13436928, 'label': '2I', 'order': 2, 'powers': [1, 10], 'representative': 1341127613444486705631892956831784620, 'size': 648}
    • id: 147486831
      {'aut_label': '2I', 'centralizer': None, 'counter': 11, 'group_counter': 568, 'group_order': 13436928, 'label': '2J', 'order': 2, 'powers': [1, 11], 'representative': 1341127613489754815557194680131642783, 'size': 648}
    • id: 147486842
      {'aut_label': '2I', 'centralizer': None, 'counter': 12, 'group_counter': 568, 'group_order': 13436928, 'label': '2K', 'order': 2, 'powers': [1, 12], 'representative': 212772501026322964229827783547786790912300, 'size': 648}
    • id: 147486853
      {'aut_label': '2I', 'centralizer': None, 'counter': 13, 'group_counter': 568, 'group_order': 13436928, 'label': '2L', 'order': 2, 'powers': [1, 13], 'representative': 212772501026323009497937708849510090770463, 'size': 648}
    • id: 147486864
      {'aut_label': '2M', 'centralizer': None, 'counter': 14, 'group_counter': 568, 'group_order': 13436928, 'label': '2M', 'order': 2, 'powers': [1, 14], 'representative': 1341127605860857425206324565227761406, 'size': 1296}
    • id: 147486875
      {'aut_label': '2M', 'centralizer': None, 'counter': 15, 'group_counter': 568, 'group_order': 13436928, 'label': '2N', 'order': 2, 'powers': [1, 15], 'representative': 192410113252624549985350313236656003852085, 'size': 1296}
    • id: 147486886
      {'aut_label': '2O', 'centralizer': None, 'counter': 16, 'group_counter': 568, 'group_order': 13436928, 'label': '2O', 'order': 2, 'powers': [1, 16], 'representative': 84785262589376391952021061983299927027683, 'size': 1458}
    • id: 147486897
      {'aut_label': '2O', 'centralizer': None, 'counter': 17, 'group_counter': 568, 'group_order': 13436928, 'label': '2P', 'order': 2, 'powers': [1, 17], 'representative': 275032948586871124990101440093640944768189, 'size': 1458}
    • id: 147486908
      {'aut_label': '2Q', 'centralizer': None, 'counter': 18, 'group_counter': 568, 'group_order': 13436928, 'label': '2Q', 'order': 2, 'powers': [1, 18], 'representative': 1341127614698439950085785747974977205, 'size': 2592}
    • id: 147486919
      {'aut_label': '2R', 'centralizer': None, 'counter': 19, 'group_counter': 568, 'group_order': 13436928, 'label': '2R', 'order': 2, 'powers': [1, 19], 'representative': 159854173190838264548154673603091778846439, 'size': 2592}
    • id: 147486931
      {'aut_label': '2S', 'centralizer': None, 'counter': 20, 'group_counter': 568, 'group_order': 13436928, 'label': '2S', 'order': 2, 'powers': [1, 20], 'representative': 234871823686603842675836072992930654649995, 'size': 5832}
    • id: 147486942
      {'aut_label': '2S', 'centralizer': None, 'counter': 21, 'group_counter': 568, 'group_order': 13436928, 'label': '2T', 'order': 2, 'powers': [1, 21], 'representative': 74156610461119181241032588272512924965306, 'size': 5832}
    • id: 147486953
      {'aut_label': '2U', 'centralizer': '6561.a1', 'counter': 22, 'group_counter': 568, 'group_order': 13436928, 'label': '2U', 'order': 2, 'powers': [1, 22], 'representative': 52873255483448591184608590001757050888905, 'size': 6561}
    • id: 147486964
      {'aut_label': '3A', 'centralizer': None, 'counter': 23, 'group_counter': 568, 'group_order': 13436928, 'label': '3A', 'order': 3, 'powers': [23, 1], 'representative': 806634631152493057474836480, 'size': 16}
    • id: 147486975
      {'aut_label': '3A', 'centralizer': None, 'counter': 24, 'group_counter': 568, 'group_order': 13436928, 'label': '3B', 'order': 3, 'powers': [24, 1], 'representative': 806634631152493057474698690, 'size': 16}
    • id: 147486986
      {'aut_label': '3C', 'centralizer': None, 'counter': 25, 'group_counter': 568, 'group_order': 13436928, 'label': '3C', 'order': 3, 'powers': [25, 1], 'representative': 276480, 'size': 32}
    • id: 147486997
      {'aut_label': '3C', 'centralizer': None, 'counter': 26, 'group_counter': 568, 'group_order': 13436928, 'label': '3D', 'order': 3, 'powers': [26, 1], 'representative': 1677180089782186478641509364, 'size': 32}
    • id: 147487008
      {'aut_label': '3E', 'centralizer': None, 'counter': 27, 'group_counter': 568, 'group_order': 13436928, 'label': '3E', 'order': 3, 'powers': [27, 1], 'representative': 20666822212129681233873041731707244608000, 'size': 64}
    • id: 147487019
      {'aut_label': '3F', 'centralizer': None, 'counter': 28, 'group_counter': 568, 'group_order': 13436928, 'label': '3F', 'order': 3, 'powers': [28, 1], 'representative': 20666822212130487868504196157426447652290, 'size': 64}
    • id: 147487030
      {'aut_label': '3F', 'centralizer': None, 'counter': 29, 'group_counter': 568, 'group_order': 13436928, 'label': '3G', 'order': 3, 'powers': [29, 1], 'representative': 20666822212130487868504195358800049441280, 'size': 64}
    • id: 147487042
      {'aut_label': '3H', 'centralizer': None, 'counter': 30, 'group_counter': 568, 'group_order': 13436928, 'label': '3H', 'order': 3, 'powers': [30, 1], 'representative': 20666822212130487868504196157426447790080, 'size': 128}
    • id: 147487053
      {'aut_label': '3I', 'centralizer': None, 'counter': 31, 'group_counter': 568, 'group_order': 13436928, 'label': '3I', 'order': 3, 'powers': [31, 1], 'representative': 806634631153204606767444480, 'size': 256}
    • id: 147487064
      {'aut_label': '3I', 'centralizer': None, 'counter': 32, 'group_counter': 568, 'group_order': 13436928, 'label': '3J', 'order': 3, 'powers': [32, 1], 'representative': 806634631153204606767306690, 'size': 256}
    • id: 147487075
      {'aut_label': '3I', 'centralizer': None, 'counter': 33, 'group_counter': 568, 'group_order': 13436928, 'label': '3K', 'order': 3, 'powers': [33, 1], 'representative': 20666822212130487868504196492272073556480, 'size': 256}
    • id: 147487086
      {'aut_label': '3I', 'centralizer': None, 'counter': 34, 'group_counter': 568, 'group_order': 13436928, 'label': '3L', 'order': 3, 'powers': [34, 1], 'representative': 20666822212130487868504196492272073418690, 'size': 256}
    • id: 147487097
      {'aut_label': '3M', 'centralizer': None, 'counter': 35, 'group_counter': 568, 'group_order': 13436928, 'label': '3M', 'order': 3, 'powers': [35, 1], 'representative': 711549292884480, 'size': 256}
    • id: 147487108
      {'aut_label': '3M', 'centralizer': None, 'counter': 36, 'group_counter': 568, 'group_order': 13436928, 'label': '3N', 'order': 3, 'powers': [36, 1], 'representative': 20666822212131358413962826185693240229364, 'size': 256}
    • id: 147487119
      {'aut_label': '3O', 'centralizer': None, 'counter': 37, 'group_counter': 568, 'group_order': 13436928, 'label': '3O', 'order': 3, 'powers': [37, 1], 'representative': 1677180089782898027934117364, 'size': 512}
    • id: 147487130
      {'aut_label': '3P', 'centralizer': None, 'counter': 38, 'group_counter': 568, 'group_order': 13436928, 'label': '3P', 'order': 3, 'powers': [38, 1], 'representative': 20666822212130487868504194224764719444480, 'size': 512}
    • id: 147487141
      {'aut_label': '3P', 'centralizer': None, 'counter': 39, 'group_counter': 568, 'group_order': 13436928, 'label': '3Q', 'order': 3, 'powers': [39, 1], 'representative': 20666822212130487868504194224764719306690, 'size': 512}
    • id: 147487153
      {'aut_label': '3R', 'centralizer': None, 'counter': 40, 'group_counter': 568, 'group_order': 13436928, 'label': '3R', 'order': 3, 'powers': [40, 1], 'representative': 31912007105921090907032689404236935080387, 'size': 1024}
    • id: 147487160
      {'aut_label': '3S', 'centralizer': None, 'counter': 41, 'group_counter': 568, 'group_order': 13436928, 'label': '3S', 'order': 3, 'powers': [41, 1], 'representative': 52578829318049125985484278846454542619574, 'size': 1024}
    • id: 147487161
      {'aut_label': '3S', 'centralizer': None, 'counter': 42, 'group_counter': 568, 'group_order': 13436928, 'label': '3T', 'order': 3, 'powers': [42, 1], 'representative': 31912007105919025921961497009939182685684, 'size': 1024}
    • id: 147487162
      {'aut_label': '4A', 'centralizer': None, 'counter': 43, 'group_counter': 568, 'group_order': 13436928, 'label': '4A', 'order': 4, 'powers': [9, 43], 'representative': 7645758573801811229324070820, 'size': 324}
    • id: 147487163
      {'aut_label': '4B', 'centralizer': None, 'counter': 44, 'group_counter': 568, 'group_order': 13436928, 'label': '4B', 'order': 4, 'powers': [9, 44], 'representative': 1225162128215623409897482833878658585600, 'size': 324}
    • id: 147487164
      {'aut_label': '4C', 'centralizer': None, 'counter': 45, 'group_counter': 568, 'group_order': 13436928, 'label': '4C', 'order': 4, 'powers': [9, 45], 'representative': 1493555564509355167800355201029090163200, 'size': 648}
    • id: 147487165
      {'aut_label': '4C', 'centralizer': None, 'counter': 46, 'group_counter': 568, 'group_order': 13436928, 'label': '4D', 'order': 4, 'powers': [9, 46], 'representative': 7565639753389428290769679413, 'size': 648}
    • id: 147487166
      {'aut_label': '4E', 'centralizer': None, 'counter': 47, 'group_counter': 568, 'group_order': 13436928, 'label': '4E', 'order': 4, 'powers': [9, 47], 'representative': 192696399603204977792041529434451229265304, 'size': 2916}
    • id: 147487167
      {'aut_label': '4E', 'centralizer': None, 'counter': 48, 'group_counter': 568, 'group_order': 13436928, 'label': '4F', 'order': 4, 'powers': [9, 48], 'representative': 203889220417421909947046054704746241650055, 'size': 2916}
    • id: 147487168
      {'aut_label': '4G', 'centralizer': None, 'counter': 49, 'group_counter': 568, 'group_order': 13436928, 'label': '4G', 'order': 4, 'powers': [9, 49], 'representative': 192410894166192505012347160665964643646563, 'size': 2916}
    • id: 147487170
      {'aut_label': '4G', 'centralizer': None, 'counter': 50, 'group_counter': 568, 'group_order': 13436928, 'label': '4H', 'order': 4, 'powers': [9, 50], 'representative': 244622901846971506979081023675778127404770, 'size': 2916}
    • id: 147487171
      {'aut_label': '4I', 'centralizer': None, 'counter': 51, 'group_counter': 568, 'group_order': 13436928, 'label': '4I', 'order': 4, 'powers': [9, 51], 'representative': 32476430452629805992663188266960802790915, 'size': 5832}
    • id: 147487172
      {'aut_label': '4I', 'centralizer': None, 'counter': 52, 'group_counter': 568, 'group_order': 13436928, 'label': '4J', 'order': 4, 'powers': [9, 52], 'representative': 265281320035365948114748753770218443034614, 'size': 5832}
    • id: 147487173
      {'aut_label': '4I', 'centralizer': None, 'counter': 53, 'group_counter': 568, 'group_order': 13436928, 'label': '4K', 'order': 4, 'powers': [9, 53], 'representative': 254088499221145162784725610971340691177306, 'size': 5832}
    • id: 147487174
      {'aut_label': '4I', 'centralizer': None, 'counter': 54, 'group_counter': 568, 'group_order': 13436928, 'label': '4L', 'order': 4, 'powers': [9, 54], 'representative': 254088499221149401337954667283307452137609, 'size': 5832}
    • id: 147487175
      {'aut_label': '4M', 'centralizer': None, 'counter': 55, 'group_counter': 568, 'group_order': 13436928, 'label': '4M', 'order': 4, 'powers': [9, 55], 'representative': 82978055058696396439583164351365880125383, 'size': 11664}
    • id: 147487176
      {'aut_label': '4M', 'centralizer': None, 'counter': 56, 'group_counter': 568, 'group_order': 13436928, 'label': '4N', 'order': 4, 'powers': [9, 56], 'representative': 63197975553043995473811100152338666205197, 'size': 11664}
    • id: 147487177
      {'aut_label': '4O', 'centralizer': None, 'counter': 57, 'group_counter': 568, 'group_order': 13436928, 'label': '4O', 'order': 4, 'powers': [9, 57], 'representative': 213927900326444840843339106228267034561949, 'size': 11664}
    • id: 147487178
      {'aut_label': '4O', 'centralizer': None, 'counter': 58, 'group_counter': 568, 'group_order': 13436928, 'label': '4P', 'order': 4, 'powers': [9, 58], 'representative': 224261064464419015247328756855845869225212, 'size': 11664}
    • id: 147487179
      {'aut_label': '4Q', 'centralizer': None, 'counter': 59, 'group_counter': 568, 'group_order': 13436928, 'label': '4Q', 'order': 4, 'powers': [6, 59], 'representative': 297542561508516918072458900113069188788867, 'size': 23328}
    • id: 147487181
      {'aut_label': '4Q', 'centralizer': None, 'counter': 60, 'group_counter': 568, 'group_order': 13436928, 'label': '4R', 'order': 4, 'powers': [7, 60], 'representative': 180520197761401106670490049552550202145800, 'size': 23328}
    • id: 147487182
      {'aut_label': '4S', 'centralizer': None, 'counter': 61, 'group_counter': 568, 'group_order': 13436928, 'label': '4S', 'order': 4, 'powers': [9, 61], 'representative': 1341127614715117773258555699779760167, 'size': 23328}
    • id: 147487183
      {'aut_label': '4T', 'centralizer': None, 'counter': 62, 'group_counter': 568, 'group_order': 13436928, 'label': '4T', 'order': 4, 'powers': [9, 62], 'representative': 213927135319520250143267210781885819660845, 'size': 23328}
    • id: 147487184
      {'aut_label': '4S', 'centralizer': None, 'counter': 63, 'group_counter': 568, 'group_order': 13436928, 'label': '4U', 'order': 4, 'powers': [9, 63], 'representative': 73522990884430925419931474213794381691829, 'size': 23328}
    • id: 147487185
      {'aut_label': '4T', 'centralizer': None, 'counter': 64, 'group_counter': 568, 'group_order': 13436928, 'label': '4V', 'order': 4, 'powers': [9, 64], 'representative': 20961536963494404808053834982331358601403, 'size': 23328}
    • id: 147487186
      {'aut_label': '4W', 'centralizer': None, 'counter': 65, 'group_counter': 568, 'group_order': 13436928, 'label': '4W', 'order': 4, 'powers': [9, 65], 'representative': 203316878238674181119450841948113873346505, 'size': 26244}
    • id: 147487187
      {'aut_label': '4X', 'centralizer': None, 'counter': 66, 'group_counter': 568, 'group_order': 13436928, 'label': '4X', 'order': 4, 'powers': [9, 66], 'representative': 53438197902862990201977496058257384505789, 'size': 26244}
    • id: 147487188
      {'aut_label': '4Y', 'centralizer': None, 'counter': 67, 'group_counter': 568, 'group_order': 13436928, 'label': '4Y', 'order': 4, 'powers': [22, 67], 'representative': 72367049151348179300055058860955948720406, 'size': 26244}
    • id: 147487189
      {'aut_label': '4Z', 'centralizer': None, 'counter': 68, 'group_counter': 568, 'group_order': 13436928, 'label': '4Z', 'order': 4, 'powers': [22, 68], 'representative': 244622901846971492163571475373423164748656, 'size': 26244}
    • id: 147487190
      {'aut_label': '4AA', 'centralizer': None, 'counter': 69, 'group_counter': 568, 'group_order': 13436928, 'label': '4AA', 'order': 4, 'powers': [22, 69], 'representative': 213927900326447647854146386029589582885640, 'size': 52488}
    • id: 147487192
      {'aut_label': '4AB', 'centralizer': None, 'counter': 70, 'group_counter': 568, 'group_order': 13436928, 'label': '4AB', 'order': 4, 'powers': [9, 70], 'representative': 32206433271327607933647190373100317490769, 'size': 52488}
    • id: 147487193
      {'aut_label': '4AB', 'centralizer': None, 'counter': 71, 'group_counter': 568, 'group_order': 13436928, 'label': '4AC', 'order': 4, 'powers': [9, 71], 'representative': 42244603355199006870206041290877632992800, 'size': 52488}
    • id: 147487194
      {'aut_label': '4AD', 'centralizer': None, 'counter': 72, 'group_counter': 568, 'group_order': 13436928, 'label': '4AD', 'order': 4, 'powers': [15, 72], 'representative': 339786638592895000693112322907915269804539, 'size': 93312}
    • id: 147487195
      {'aut_label': '4AD', 'centralizer': None, 'counter': 73, 'group_counter': 568, 'group_order': 13436928, 'label': '4AE', 'order': 4, 'powers': [14, 73], 'representative': 117905321222009465255967496939329956546557, 'size': 93312}
    • id: 147487196
      {'aut_label': '4AF', 'centralizer': None, 'counter': 74, 'group_counter': 568, 'group_order': 13436928, 'label': '4AF', 'order': 4, 'powers': [22, 74], 'representative': 264125641698376759602448183844571167044083, 'size': 104976}
    • id: 147487197
      {'aut_label': '4AF', 'centralizer': None, 'counter': 75, 'group_counter': 568, 'group_order': 13436928, 'label': '4AG', 'order': 4, 'powers': [22, 75], 'representative': 72940682324302295539129094307141698743180, 'size': 104976}
    • id: 147487198
      {'aut_label': '4AH', 'centralizer': None, 'counter': 76, 'group_counter': 568, 'group_order': 13436928, 'label': '4AH', 'order': 4, 'powers': [22, 76], 'representative': 43113222916737949637987487012149031685624, 'size': 104976}
    • id: 147487199
      {'aut_label': '4AH', 'centralizer': None, 'counter': 77, 'group_counter': 568, 'group_order': 13436928, 'label': '4AI', 'order': 4, 'powers': [22, 77], 'representative': 255295513526766374622077781943991675152583, 'size': 104976}
    • id: 147487200
      {'aut_label': '4AJ', 'centralizer': None, 'counter': 78, 'group_counter': 568, 'group_order': 13436928, 'label': '4AJ', 'order': 4, 'powers': [22, 78], 'representative': 51996775136037146837505373435754876203396, 'size': 104976}
    • id: 147487201
      {'aut_label': '4AJ', 'centralizer': None, 'counter': 79, 'group_counter': 568, 'group_order': 13436928, 'label': '4AK', 'order': 4, 'powers': [22, 79], 'representative': 274762434162492564024017949967359231823599, 'size': 104976}
    • id: 147487203
      {'aut_label': '4AL', 'centralizer': None, 'counter': 80, 'group_counter': 568, 'group_order': 13436928, 'label': '4AL', 'order': 4, 'powers': [22, 80], 'representative': 223383506420848048048822017999170215615425, 'size': 209952}
    • id: 147487204
      {'aut_label': '4AM', 'centralizer': None, 'counter': 81, 'group_counter': 568, 'group_order': 13436928, 'label': '4AM', 'order': 4, 'powers': [22, 81], 'representative': 108153700628083482868738236719116526191306, 'size': 209952}
    • id: 147487205
      {'aut_label': '6A', 'centralizer': None, 'counter': 82, 'group_counter': 568, 'group_order': 13436928, 'label': '6A', 'order': 6, 'powers': [23, 4], 'representative': 418910731067176895619140783, 'size': 144}
    • id: 147487206
      {'aut_label': '6A', 'centralizer': None, 'counter': 83, 'group_counter': 568, 'group_order': 13436928, 'label': '6B', 'order': 6, 'powers': [24, 4], 'representative': 418910731067176895619184721, 'size': 144}
    • id: 147487207
      {'aut_label': '6A', 'centralizer': None, 'counter': 84, 'group_counter': 568, 'group_order': 13436928, 'label': '6C', 'order': 6, 'powers': [23, 5], 'representative': 7583689008045378186195803959, 'size': 144}
    • id: 147487208
      {'aut_label': '6A', 'centralizer': None, 'counter': 85, 'group_counter': 568, 'group_order': 13436928, 'label': '6D', 'order': 6, 'powers': [24, 5], 'representative': 7583689008045378186195857318, 'size': 144}
    • id: 147487209
      {'aut_label': '6E', 'centralizer': None, 'counter': 86, 'group_counter': 568, 'group_order': 13436928, 'label': '6E', 'order': 6, 'powers': [23, 2], 'representative': 7583710361747949052973902236, 'size': 144}
    • id: 147487210
      {'aut_label': '6E', 'centralizer': None, 'counter': 87, 'group_counter': 568, 'group_order': 13436928, 'label': '6F', 'order': 6, 'powers': [24, 3], 'representative': 7628978471673250776273747229, 'size': 144}
    • id: 147487211
      {'aut_label': '6G', 'centralizer': None, 'counter': 88, 'group_counter': 568, 'group_order': 13436928, 'label': '6G', 'order': 6, 'powers': [24, 2], 'representative': 10628652128255570990680420500424476463020, 'size': 144}
    • id: 147487212
      {'aut_label': '6H', 'centralizer': None, 'counter': 89, 'group_counter': 568, 'group_order': 13436928, 'label': '6H', 'order': 6, 'powers': [23, 2], 'representative': 10628652128255570990680421299050874811820, 'size': 144}
    • id: 147487214
      {'aut_label': '6H', 'centralizer': None, 'counter': 90, 'group_counter': 568, 'group_order': 13436928, 'label': '6I', 'order': 6, 'powers': [24, 3], 'representative': 10628652128255616258790345802147776321183, 'size': 144}
    • id: 147487215
      {'aut_label': '6G', 'centralizer': None, 'counter': 91, 'group_counter': 568, 'group_order': 13436928, 'label': '6J', 'order': 6, 'powers': [23, 3], 'representative': 10628652128255616258790346600774174669983, 'size': 144}
    • id: 147487216
      {'aut_label': '6K', 'centralizer': None, 'counter': 92, 'group_counter': 568, 'group_order': 13436928, 'label': '6K', 'order': 6, 'powers': [25, 4], 'representative': 81081325226502881348783, 'size': 288}
    • id: 147487217
      {'aut_label': '6K', 'centralizer': None, 'counter': 93, 'group_counter': 568, 'group_order': 13436928, 'label': '6L', 'order': 6, 'powers': [26, 5], 'representative': 7583689008045378186195901334, 'size': 288}
    • id: 147487218
      {'aut_label': '6M', 'centralizer': None, 'counter': 94, 'group_counter': 568, 'group_order': 13436928, 'label': '6M', 'order': 6, 'powers': [25, 2], 'representative': 7583710361748325756640699820, 'size': 288}
    • id: 147487219
      {'aut_label': '6M', 'centralizer': None, 'counter': 95, 'group_counter': 568, 'group_order': 13436928, 'label': '6N', 'order': 6, 'powers': [25, 3], 'representative': 7628978471673627479940557983, 'size': 288}
    • id: 147487220
      {'aut_label': '6M', 'centralizer': None, 'counter': 96, 'group_counter': 568, 'group_order': 13436928, 'label': '6O', 'order': 6, 'powers': [26, 2], 'representative': 10628652128255570990680420165578850696620, 'size': 288}
    • id: 147487221
      {'aut_label': '6M', 'centralizer': None, 'counter': 97, 'group_counter': 568, 'group_order': 13436928, 'label': '6P', 'order': 6, 'powers': [26, 3], 'representative': 10628652128255616258790345467302150554783, 'size': 288}
    • id: 147487222
      {'aut_label': '6Q', 'centralizer': None, 'counter': 98, 'group_counter': 568, 'group_order': 13436928, 'label': '6Q', 'order': 6, 'powers': [23, 4], 'representative': 1341127606279605993623048455084113090, 'size': 576}
    • id: 147487223
      {'aut_label': '6Q', 'centralizer': None, 'counter': 99, 'group_counter': 568, 'group_order': 13436928, 'label': '6R', 'order': 6, 'powers': [24, 4], 'representative': 1341127606279605993623048455084250880, 'size': 576}
    • id: 147486821
      {'aut_label': '6Q', 'centralizer': None, 'counter': 100, 'group_counter': 568, 'group_order': 13436928, 'label': '6S', 'order': 6, 'powers': [24, 5], 'representative': 10628652128255570969326717929557698364743, 'size': 576}
  • group 13436928.vv does not appear in gps_qchar
  • group 13436928.vv does not appear in gps_char
  • gps_subgroup_search • Show schema
    Showing the first 100 of 446 matching records in this table.
    • id: 138764436
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '13436928.vv', 'ambient_counter': 568, 'ambient_order': 13436928, 'ambient_tex': 'C_3^8:C_4^2.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 13436928, 'counter': 1, 'cyclic': False, 'direct': None, 'hall': 6, 'label': '13436928.vv.1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1.a1', 'outer_equivalence': True, 'perfect': False, 'proper': False, 'quotient': '1.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 1, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_1', 'simple': False, 'solvable': True, 'special_labels': ['R', 'L0', 'D0', 'C0'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '13436928.vv', 'subgroup_hash': 8306355141317458372, 'subgroup_order': 13436928, 'subgroup_tex': 'C_3^8:C_4^2.C_2\\wr D_4', 'supersolvable': False, 'sylow': 0}
    • id: 138764547
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '13436928.vv', 'ambient_counter': 568, 'ambient_order': 13436928, 'ambient_tex': 'C_3^8:C_4^2.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 6718464, 'counter': 2, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '13436928.vv.2.A', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6718464.bgv', 'subgroup_hash': 8162203986166621688, 'subgroup_order': 6718464, 'subgroup_tex': 'C_3^8:(C_2\\times D_4).D_4^2', 'supersolvable': False, 'sylow': 0}
    • id: 138764658
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '13436928.vv', 'ambient_counter': 568, 'ambient_order': 13436928, 'ambient_tex': 'C_3^8:C_4^2.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 6718464, 'counter': 3, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '13436928.vv.2.B', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': ['C1'], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4244637530748443910, 'subgroup_order': 6718464, 'subgroup_tex': 'C_3^8.D_4^2.C_2^4', 'supersolvable': False, 'sylow': 0}
    • id: 138764769
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '13436928.vv', 'ambient_counter': 568, 'ambient_order': 13436928, 'ambient_tex': 'C_3^8:C_4^2.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 6718464, 'counter': 4, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '13436928.vv.2.C', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6718464.bgx', 'subgroup_hash': 2169853000864919333, 'subgroup_order': 6718464, 'subgroup_tex': 'C_3^8:C_4^2.C_2\\wr C_4', 'supersolvable': False, 'sylow': 0}
    • id: 138764827
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '13436928.vv', 'ambient_counter': 568, 'ambient_order': 13436928, 'ambient_tex': 'C_3^8:C_4^2.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 6718464, 'counter': 5, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '13436928.vv.2.D', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6718464.bhe', 'subgroup_hash': 677443545566901491, 'subgroup_order': 6718464, 'subgroup_tex': 'C_3^8:(C_2\\times Q_8).D_4^2', 'supersolvable': False, 'sylow': 0}
    • id: 138764838
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '13436928.vv', 'ambient_counter': 568, 'ambient_order': 13436928, 'ambient_tex': 'C_3^8:C_4^2.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 6718464, 'counter': 6, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '13436928.vv.2.E', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6718464.bgb', 'subgroup_hash': 4355628306394296548, 'subgroup_order': 6718464, 'subgroup_tex': 'C_3^8:(C_2\\times C_8).D_4^2', 'supersolvable': False, 'sylow': 0}
    • id: 138764849
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '13436928.vv', 'ambient_counter': 568, 'ambient_order': 13436928, 'ambient_tex': 'C_3^8:C_4^2.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 6718464, 'counter': 7, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '13436928.vv.2.F', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6718464.bhd', 'subgroup_hash': 925024791704109406, 'subgroup_order': 6718464, 'subgroup_tex': 'C_3^8:C_4^2.C_2\\wr C_4', 'supersolvable': False, 'sylow': 0}
    • id: 138764860
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '13436928.vv', 'ambient_counter': 568, 'ambient_order': 13436928, 'ambient_tex': 'C_3^8:C_4^2.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 6718464, 'counter': 8, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '13436928.vv.2.G', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6718464.bgc', 'subgroup_hash': 7598144776737544618, 'subgroup_order': 6718464, 'subgroup_tex': 'C_3^8:C_4^2.C_4^2:C_4', 'supersolvable': False, 'sylow': 0}
    • id: 138764871
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '13436928.vv', 'ambient_counter': 568, 'ambient_order': 13436928, 'ambient_tex': 'C_3^8:C_4^2.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6718464, 'counter': 9, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '13436928.vv.2.H', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6718464.qj', 'subgroup_hash': 1201506343746813820, 'subgroup_order': 6718464, 'subgroup_tex': 'C_3^8:C_2^3.C_2\\wr D_4', 'supersolvable': False, 'sylow': 0}
    • id: 138764437
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '13436928.vv', 'ambient_counter': 568, 'ambient_order': 13436928, 'ambient_tex': 'C_3^8:C_4^2.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6718464, 'counter': 10, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '13436928.vv.2.I', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6718464.bgy', 'subgroup_hash': 1201506343746813820, 'subgroup_order': 6718464, 'subgroup_tex': 'C_3^8:C_2^3.C_2\\wr D_4', 'supersolvable': False, 'sylow': 0}
    • id: 138764448
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '13436928.vv', 'ambient_counter': 568, 'ambient_order': 13436928, 'ambient_tex': 'C_3^8:C_4^2.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6718464, 'counter': 11, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '13436928.vv.2.J', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6718464.he', 'subgroup_hash': 1735303722169685981, 'subgroup_order': 6718464, 'subgroup_tex': 'C_3^8:C_2^3.C_2\\wr D_4', 'supersolvable': False, 'sylow': 0}
    • id: 138764459
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '13436928.vv', 'ambient_counter': 568, 'ambient_order': 13436928, 'ambient_tex': 'C_3^8:C_4^2.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6718464, 'counter': 12, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '13436928.vv.2.K', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.k1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6718464.bgw', 'subgroup_hash': 1735303722169685981, 'subgroup_order': 6718464, 'subgroup_tex': 'C_3^8:C_2^3.C_2\\wr D_4', 'supersolvable': False, 'sylow': 0}
    • id: 138764470
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '13436928.vv', 'ambient_counter': 568, 'ambient_order': 13436928, 'ambient_tex': 'C_3^8:C_4^2.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 3359232, 'counter': 13, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '13436928.vv.4.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5254527483176697308, 'subgroup_order': 3359232, 'subgroup_tex': 'C_3^8.D_4^2.C_2^3', 'supersolvable': False, 'sylow': 0}
    • id: 138764481
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '13436928.vv', 'ambient_counter': 568, 'ambient_order': 13436928, 'ambient_tex': 'C_3^8:C_4^2.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 3359232, 'counter': 14, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '13436928.vv.4.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3359232.bgr', 'subgroup_hash': 3818472003823777251, 'subgroup_order': 3359232, 'subgroup_tex': 'C_3^8:C_8.D_4^2', 'supersolvable': False, 'sylow': 0}
    • id: 138764492
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '13436928.vv', 'ambient_counter': 568, 'ambient_order': 13436928, 'ambient_tex': 'C_3^8:C_4^2.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 3359232, 'counter': 15, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '13436928.vv.4.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5463617616177264014, 'subgroup_order': 3359232, 'subgroup_tex': 'C_3^8.C_4^2.C_2^5', 'supersolvable': False, 'sylow': 0}
    • id: 138764503
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '13436928.vv', 'ambient_counter': 568, 'ambient_order': 13436928, 'ambient_tex': 'C_3^8:C_4^2.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 3359232, 'counter': 16, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '13436928.vv.4.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8920957201611752788, 'subgroup_order': 3359232, 'subgroup_tex': 'C_3^8.C_4^2.C_2^5', 'supersolvable': False, 'sylow': 0}
    • id: 138764514
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '13436928.vv', 'ambient_counter': 568, 'ambient_order': 13436928, 'ambient_tex': 'C_3^8:C_4^2.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 3359232, 'counter': 17, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '13436928.vv.4.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3359232.bgw', 'subgroup_hash': 1563790477173621158, 'subgroup_order': 3359232, 'subgroup_tex': 'C_3^8:C_4^2.C_2^3:C_4', 'supersolvable': False, 'sylow': 0}
    • id: 138764525
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '13436928.vv', 'ambient_counter': 568, 'ambient_order': 13436928, 'ambient_tex': 'C_3^8:C_4^2.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 3359232, 'counter': 18, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '13436928.vv.4.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3359232.bgx', 'subgroup_hash': 3126844512430969687, 'subgroup_order': 3359232, 'subgroup_tex': 'C_3^8:C_4^2.C_2^3:C_4', 'supersolvable': False, 'sylow': 0}
    • id: 138764536
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '13436928.vv', 'ambient_counter': 568, 'ambient_order': 13436928, 'ambient_tex': 'C_3^8:C_4^2.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 3359232, 'counter': 19, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '13436928.vv.4.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3359232.bgt', 'subgroup_hash': 1768105998781234792, 'subgroup_order': 3359232, 'subgroup_tex': 'C_3^8:C_8.D_4:D_4', 'supersolvable': False, 'sylow': 0}
    • id: 138764548
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '13436928.vv', 'ambient_counter': 568, 'ambient_order': 13436928, 'ambient_tex': 'C_3^8:C_4^2.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3359232, 'counter': 20, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '13436928.vv.4.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3359232.uu', 'subgroup_hash': 460356878052040596, 'subgroup_order': 3359232, 'subgroup_tex': 'C_3^8.D_4^2.C_2^3', 'supersolvable': False, 'sylow': 0}
    • id: 138764559
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '13436928.vv', 'ambient_counter': 568, 'ambient_order': 13436928, 'ambient_tex': 'C_3^8:C_4^2.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3359232, 'counter': 21, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '13436928.vv.4.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': ['C2'], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1060268155339257347, 'subgroup_order': 3359232, 'subgroup_tex': 'C_3^8.D_4^2.C_2^3', 'supersolvable': False, 'sylow': 0}
    • id: 138764570
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '13436928.vv', 'ambient_counter': 568, 'ambient_order': 13436928, 'ambient_tex': 'C_3^8:C_4^2.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3359232, 'counter': 22, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '13436928.vv.4.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1060268155339257347, 'subgroup_order': 3359232, 'subgroup_tex': 'C_3^8.C_4^2.C_2^5', 'supersolvable': False, 'sylow': 0}
    • id: 138764581
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '13436928.vv', 'ambient_counter': 568, 'ambient_order': 13436928, 'ambient_tex': 'C_3^8:C_4^2.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3359232, 'counter': 23, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '13436928.vv.4.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.k1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3359232.kv', 'subgroup_hash': 6748562376096212589, 'subgroup_order': 3359232, 'subgroup_tex': 'C_3^8:C_2^3.C_2\\wr C_2^2', 'supersolvable': False, 'sylow': 0}
    • id: 138764592
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '13436928.vv', 'ambient_counter': 568, 'ambient_order': 13436928, 'ambient_tex': 'C_3^8:C_4^2.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3359232, 'counter': 24, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '13436928.vv.4.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.l1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3359232.ut', 'subgroup_hash': 7223753816252595939, 'subgroup_order': 3359232, 'subgroup_tex': 'C_3^8:C_2^3.C_2\\wr C_4', 'supersolvable': False, 'sylow': 0}
    • id: 138764603
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '13436928.vv', 'ambient_counter': 568, 'ambient_order': 13436928, 'ambient_tex': 'C_3^8:C_4^2.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3359232, 'counter': 25, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '13436928.vv.4.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.m1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3359232.ky', 'subgroup_hash': 7223753816252595939, 'subgroup_order': 3359232, 'subgroup_tex': 'C_3^8:C_2^3.C_2\\wr C_4', 'supersolvable': False, 'sylow': 0}
    • id: 138764614
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '13436928.vv', 'ambient_counter': 568, 'ambient_order': 13436928, 'ambient_tex': 'C_3^8:C_4^2.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3359232, 'counter': 26, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '13436928.vv.4.N', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.n1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3359232.vn', 'subgroup_hash': 2509658448764435282, 'subgroup_order': 3359232, 'subgroup_tex': 'C_3^8.Q_8^2.C_2^3', 'supersolvable': False, 'sylow': 0}
    • id: 138764625
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '13436928.vv', 'ambient_counter': 568, 'ambient_order': 13436928, 'ambient_tex': 'C_3^8:C_4^2.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 3359232, 'counter': 27, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '13436928.vv.4.O', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.o1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3359232.vu', 'subgroup_hash': 2271901250050806271, 'subgroup_order': 3359232, 'subgroup_tex': 'C_3^8.C_8^2.C_2^3', 'supersolvable': False, 'sylow': 0}
    • id: 138764636
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '13436928.vv', 'ambient_counter': 568, 'ambient_order': 13436928, 'ambient_tex': 'C_3^8:C_4^2.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 3359232, 'counter': 28, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '13436928.vv.4.P', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.p1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3359232.bgs', 'subgroup_hash': 2271901250050806271, 'subgroup_order': 3359232, 'subgroup_tex': 'C_3^8.C_8^2.C_2^3', 'supersolvable': False, 'sylow': 0}
    • id: 138764647
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '13436928.vv', 'ambient_counter': 568, 'ambient_order': 13436928, 'ambient_tex': 'C_3^8:C_4^2.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3359232, 'counter': 29, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '13436928.vv.4.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.q1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3359232.lv', 'subgroup_hash': 2381677513335889085, 'subgroup_order': 3359232, 'subgroup_tex': 'C_3^8:C_2^3.C_2\\wr C_2^2', 'supersolvable': False, 'sylow': 0}
    • id: 138764659
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '13436928.vv', 'ambient_counter': 568, 'ambient_order': 13436928, 'ambient_tex': 'C_3^8:C_4^2.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3359232, 'counter': 30, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '13436928.vv.4.R', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.r1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3359232.sy', 'subgroup_hash': 6795702946619597305, 'subgroup_order': 3359232, 'subgroup_tex': 'C_3^8:C_2^3.C_2\\wr C_4', 'supersolvable': False, 'sylow': 0}
    • id: 138764670
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '13436928.vv', 'ambient_counter': 568, 'ambient_order': 13436928, 'ambient_tex': 'C_3^8:C_4^2.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3359232, 'counter': 31, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '13436928.vv.4.S', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.s1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3359232.lu', 'subgroup_hash': 6795702946619597305, 'subgroup_order': 3359232, 'subgroup_tex': 'C_3^8:C_2^3.C_2\\wr C_4', 'supersolvable': False, 'sylow': 0}
    • id: 138764681
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '13436928.vv', 'ambient_counter': 568, 'ambient_order': 13436928, 'ambient_tex': 'C_3^8:C_4^2.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 3359232, 'counter': 32, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '13436928.vv.4.T', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.t1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3359232.kp', 'subgroup_hash': 6837885645903756188, 'subgroup_order': 3359232, 'subgroup_tex': 'C_3^8:C_8.(C_4\\times \\SD_{16})', 'supersolvable': False, 'sylow': 0}
    • id: 138764692
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '13436928.vv', 'ambient_counter': 568, 'ambient_order': 13436928, 'ambient_tex': 'C_3^8:C_4^2.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3359232, 'counter': 33, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '13436928.vv.4.U', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.u1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3359232.kq', 'subgroup_hash': 7071476301344461207, 'subgroup_order': 3359232, 'subgroup_tex': 'C_3^8:C_2^3.C_4^2:C_4', 'supersolvable': False, 'sylow': 0}
    • id: 138764703
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '13436928.vv', 'ambient_counter': 568, 'ambient_order': 13436928, 'ambient_tex': 'C_3^8:C_4^2.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 3359232, 'counter': 34, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '13436928.vv.4.V', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.v1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3359232.bgu', 'subgroup_hash': 6837885645903756188, 'subgroup_order': 3359232, 'subgroup_tex': 'C_3^8:C_8.(C_4\\times \\SD_{16})', 'supersolvable': False, 'sylow': 0}
    • id: 138764714
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '13436928.vv', 'ambient_counter': 568, 'ambient_order': 13436928, 'ambient_tex': 'C_3^8:C_4^2.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3359232, 'counter': 35, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '13436928.vv.4.W', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.w1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3359232.bgv', 'subgroup_hash': 7071476301344461207, 'subgroup_order': 3359232, 'subgroup_tex': 'C_3^8:C_2^3.C_4^2:C_4', 'supersolvable': False, 'sylow': 0}
    • id: 138764725
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '13436928.vv', 'ambient_counter': 568, 'ambient_order': 13436928, 'ambient_tex': 'C_3^8:C_4^2.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1679616, 'counter': 36, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '13436928.vv.4.X', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.x1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5470721861490892040, 'subgroup_order': 3359232, 'subgroup_tex': 'C_3^8.C_4^2.C_2^5', 'supersolvable': False, 'sylow': 0}
    • id: 138764736
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '13436928.vv', 'ambient_counter': 568, 'ambient_order': 13436928, 'ambient_tex': 'C_3^8:C_4^2.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1679616, 'counter': 37, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '13436928.vv.4.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.y1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5470721861490892040, 'subgroup_order': 3359232, 'subgroup_tex': 'C_3^8.C_4^2.C_2^5', 'supersolvable': False, 'sylow': 0}
    • id: 138764747
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '13436928.vv', 'ambient_counter': 568, 'ambient_order': 13436928, 'ambient_tex': 'C_3^8:C_4^2.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1679616, 'counter': 38, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '13436928.vv.4.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.z1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6758272877801606548, 'subgroup_order': 3359232, 'subgroup_tex': 'C_3^8.C_4^2.C_2^5', 'supersolvable': False, 'sylow': 0}
    • id: 138764758
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '13436928.vv', 'ambient_counter': 568, 'ambient_order': 13436928, 'ambient_tex': 'C_3^8:C_4^2.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1679616, 'counter': 39, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '13436928.vv.4.BA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.ba1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6758272877801606548, 'subgroup_order': 3359232, 'subgroup_tex': 'C_3^8.C_4^2.C_2^5', 'supersolvable': False, 'sylow': 0}
    • id: 138764770
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '13436928.vv', 'ambient_counter': 568, 'ambient_order': 13436928, 'ambient_tex': 'C_3^8:C_4^2.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1679616, 'counter': 40, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '13436928.vv.4.BB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.bb1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4240939023692868887, 'subgroup_order': 3359232, 'subgroup_tex': 'C_3^8.D_4^2.C_2^3', 'supersolvable': False, 'sylow': 0}
    • id: 138764781
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '13436928.vv', 'ambient_counter': 568, 'ambient_order': 13436928, 'ambient_tex': 'C_3^8:C_4^2.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1679616, 'counter': 41, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '13436928.vv.4.BC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.bc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4240939023692868887, 'subgroup_order': 3359232, 'subgroup_tex': 'C_3^8.D_4^2.C_2^3', 'supersolvable': False, 'sylow': 0}
    • id: 138764792
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '13436928.vv', 'ambient_counter': 568, 'ambient_order': 13436928, 'ambient_tex': 'C_3^8:C_4^2.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1679616, 'counter': 42, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '13436928.vv.4.BD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.bd1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 182833613056115137, 'subgroup_order': 3359232, 'subgroup_tex': 'C_3^8.C_4^2.C_2^5', 'supersolvable': False, 'sylow': 0}
    • id: 138764803
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '13436928.vv', 'ambient_counter': 568, 'ambient_order': 13436928, 'ambient_tex': 'C_3^8:C_4^2.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1679616, 'counter': 43, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '13436928.vv.4.BE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.be1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1277007433871153845, 'subgroup_order': 3359232, 'subgroup_tex': 'C_3^8.D_4^2.C_2^3', 'supersolvable': False, 'sylow': 0}
    • id: 138764814
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '13436928.vv', 'ambient_counter': 568, 'ambient_order': 13436928, 'ambient_tex': 'C_3^8:C_4^2.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1679616, 'counter': 44, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '13436928.vv.4.BF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.bf1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6167209092894896393, 'subgroup_order': 3359232, 'subgroup_tex': 'C_3^8.C_4^2.C_2^5', 'supersolvable': False, 'sylow': 0}
    • id: 138764822
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '13436928.vv', 'ambient_counter': 568, 'ambient_order': 13436928, 'ambient_tex': 'C_3^8:C_4^2.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1679616, 'counter': 45, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '13436928.vv.4.BG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.bg1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4728759460488560729, 'subgroup_order': 3359232, 'subgroup_tex': 'C_3^8.C_4^2.C_2^5', 'supersolvable': False, 'sylow': 0}
    • id: 138764823
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '13436928.vv', 'ambient_counter': 568, 'ambient_order': 13436928, 'ambient_tex': 'C_3^8:C_4^2.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1679616, 'counter': 46, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '13436928.vv.4.BH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.bh1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 551172155444801111, 'subgroup_order': 3359232, 'subgroup_tex': 'C_3^8.(D_4\\times Q_8).C_2^3', 'supersolvable': False, 'sylow': 0}
    • id: 138764824
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '13436928.vv', 'ambient_counter': 568, 'ambient_order': 13436928, 'ambient_tex': 'C_3^8:C_4^2.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1679616, 'counter': 47, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '13436928.vv.4.BI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.bi1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1549729197235950726, 'subgroup_order': 3359232, 'subgroup_tex': 'C_3^8.C_4^2.C_2^5', 'supersolvable': False, 'sylow': 0}
    • id: 138764825
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '13436928.vv', 'ambient_counter': 568, 'ambient_order': 13436928, 'ambient_tex': 'C_3^8:C_4^2.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1679616, 'counter': 48, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '13436928.vv.4.BJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.bj1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3359232.cp', 'subgroup_hash': 6833968677148776575, 'subgroup_order': 3359232, 'subgroup_tex': 'C_3^8:(D_4^2:D_4)', 'supersolvable': False, 'sylow': 0}
    • id: 138764826
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '13436928.vv', 'ambient_counter': 568, 'ambient_order': 13436928, 'ambient_tex': 'C_3^8:C_4^2.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1679616, 'counter': 49, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '13436928.vv.4.BK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.bk1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8317311662991728041, 'subgroup_order': 3359232, 'subgroup_tex': 'C_3^8.C_4.C_2.C_2^6', 'supersolvable': False, 'sylow': 0}
    • id: 138764828
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '13436928.vv', 'ambient_counter': 568, 'ambient_order': 13436928, 'ambient_tex': 'C_3^8:C_4^2.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1679616, 'counter': 50, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '13436928.vv.4.BL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.bl1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3359232.bid', 'subgroup_hash': 809739246780871573, 'subgroup_order': 3359232, 'subgroup_tex': 'C_3^8:C_4^2.C_2^3:C_4', 'supersolvable': False, 'sylow': 0}
    • id: 138764829
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '13436928.vv', 'ambient_counter': 568, 'ambient_order': 13436928, 'ambient_tex': 'C_3^8:C_4^2.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1679616, 'counter': 51, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '13436928.vv.4.BM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.bm1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 735758260732145641, 'subgroup_order': 3359232, 'subgroup_tex': 'C_3^8.C_4^2.C_2^5', 'supersolvable': False, 'sylow': 0}
    • id: 138764830
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '13436928.vv', 'ambient_counter': 568, 'ambient_order': 13436928, 'ambient_tex': 'C_3^8:C_4^2.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1679616, 'counter': 52, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '13436928.vv.4.BN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.bn1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3359232.bij', 'subgroup_hash': 8708330125933591797, 'subgroup_order': 3359232, 'subgroup_tex': 'C_3^8:(C_2^2\\times Q_8).C_2^4', 'supersolvable': False, 'sylow': 0}
    • id: 138764831
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '13436928.vv', 'ambient_counter': 568, 'ambient_order': 13436928, 'ambient_tex': 'C_3^8:C_4^2.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1679616, 'counter': 53, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '13436928.vv.4.BO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.bo1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3359232.bhp', 'subgroup_hash': 3200812782730353601, 'subgroup_order': 3359232, 'subgroup_tex': 'C_3^8:C_8.(D_4\\times Q_8)', 'supersolvable': False, 'sylow': 0}
    • id: 138764832
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '13436928.vv', 'ambient_counter': 568, 'ambient_order': 13436928, 'ambient_tex': 'C_3^8:C_4^2.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1679616, 'counter': 54, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '13436928.vv.4.BP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.bp1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3359232.bin', 'subgroup_hash': 2273773840234073351, 'subgroup_order': 3359232, 'subgroup_tex': 'C_3^8:C_4^2.C_2^3:C_4', 'supersolvable': False, 'sylow': 0}
    • id: 138764833
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '13436928.vv', 'ambient_counter': 568, 'ambient_order': 13436928, 'ambient_tex': 'C_3^8:C_4^2.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1679616, 'counter': 55, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '13436928.vv.4.BQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.bq1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3359232.bht', 'subgroup_hash': 4192623192933835340, 'subgroup_order': 3359232, 'subgroup_tex': 'C_3^8:(C_8^2:D_4)', 'supersolvable': False, 'sylow': 0}
    • id: 138764834
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '13436928.vv', 'ambient_counter': 568, 'ambient_order': 13436928, 'ambient_tex': 'C_3^8:C_4^2.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1679616, 'counter': 56, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '13436928.vv.4.BR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.br1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3359232.bhz', 'subgroup_hash': 2010564896935319472, 'subgroup_order': 3359232, 'subgroup_tex': 'C_3^8:C_2^3.C_2\\wr C_2^2', 'supersolvable': False, 'sylow': 0}
    • id: 138764835
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '13436928.vv', 'ambient_counter': 568, 'ambient_order': 13436928, 'ambient_tex': 'C_3^8:C_4^2.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1679616, 'counter': 57, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '13436928.vv.4.BS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.bs1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1060268155339257347, 'subgroup_order': 3359232, 'subgroup_tex': 'C_3^8.D_4^2.C_2^3', 'supersolvable': False, 'sylow': 0}
    • id: 138764836
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '13436928.vv', 'ambient_counter': 568, 'ambient_order': 13436928, 'ambient_tex': 'C_3^8:C_4^2.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1679616, 'counter': 58, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '13436928.vv.4.BT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.bt1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1060268155339257347, 'subgroup_order': 3359232, 'subgroup_tex': 'C_3^8.C_4^2.C_2^5', 'supersolvable': False, 'sylow': 0}
    • id: 138764837
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '13436928.vv', 'ambient_counter': 568, 'ambient_order': 13436928, 'ambient_tex': 'C_3^8:C_4^2.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1679616, 'counter': 59, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '13436928.vv.4.BU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.bu1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1060268155339257347, 'subgroup_order': 3359232, 'subgroup_tex': 'C_3^8.C_4^2.C_2^5', 'supersolvable': False, 'sylow': 0}
    • id: 138764839
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '13436928.vv', 'ambient_counter': 568, 'ambient_order': 13436928, 'ambient_tex': 'C_3^8:C_4^2.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1679616, 'counter': 60, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '13436928.vv.4.BV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.bv1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1060268155339257347, 'subgroup_order': 3359232, 'subgroup_tex': 'C_3^8.C_4^2.C_2^5', 'supersolvable': False, 'sylow': 0}
    • id: 138764840
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '13436928.vv', 'ambient_counter': 568, 'ambient_order': 13436928, 'ambient_tex': 'C_3^8:C_4^2.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1679616, 'counter': 61, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '13436928.vv.4.BW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.bw1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3359232.bhr', 'subgroup_hash': 1516947023991783768, 'subgroup_order': 3359232, 'subgroup_tex': 'C_3^8:\\SD_{16}\\wr C_2', 'supersolvable': False, 'sylow': 0}
    • id: 138764841
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '13436928.vv', 'ambient_counter': 568, 'ambient_order': 13436928, 'ambient_tex': 'C_3^8:C_4^2.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1679616, 'counter': 62, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '13436928.vv.4.BX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.bx1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3359232.ds', 'subgroup_hash': 667607375564628631, 'subgroup_order': 3359232, 'subgroup_tex': 'C_3^8:\\SD_{16}\\wr C_2', 'supersolvable': False, 'sylow': 0}
    • id: 138764842
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '13436928.vv', 'ambient_counter': 568, 'ambient_order': 13436928, 'ambient_tex': 'C_3^8:C_4^2.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1679616, 'counter': 63, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '13436928.vv.4.BY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.by1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3359232.ux', 'subgroup_hash': 6750049952619140535, 'subgroup_order': 3359232, 'subgroup_tex': 'C_3^8:\\SD_{16}\\wr C_2', 'supersolvable': False, 'sylow': 0}
    • id: 138764843
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '13436928.vv', 'ambient_counter': 568, 'ambient_order': 13436928, 'ambient_tex': 'C_3^8:C_4^2.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1679616, 'counter': 64, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '13436928.vv.4.BZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.bz1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3359232.bia', 'subgroup_hash': 6750049952619140535, 'subgroup_order': 3359232, 'subgroup_tex': 'C_3^8:\\SD_{16}\\wr C_2', 'supersolvable': False, 'sylow': 0}
    • id: 138764844
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '13436928.vv', 'ambient_counter': 568, 'ambient_order': 13436928, 'ambient_tex': 'C_3^8:C_4^2.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1679616, 'counter': 65, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '13436928.vv.4.CA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.ca1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3359232.bik', 'subgroup_hash': 3044752039313356106, 'subgroup_order': 3359232, 'subgroup_tex': 'C_3^8:C_2^3.C_2\\wr C_2^2', 'supersolvable': False, 'sylow': 0}
    • id: 138764845
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '13436928.vv', 'ambient_counter': 568, 'ambient_order': 13436928, 'ambient_tex': 'C_3^8:C_4^2.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1679616, 'counter': 66, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '13436928.vv.4.CB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.cb1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3359232.bhq', 'subgroup_hash': 7586765936726737179, 'subgroup_order': 3359232, 'subgroup_tex': 'C_3^8:(C_2\\times D_8).\\SD_{16}', 'supersolvable': False, 'sylow': 0}
    • id: 138764846
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '13436928.vv', 'ambient_counter': 568, 'ambient_order': 13436928, 'ambient_tex': 'C_3^8:C_4^2.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1679616, 'counter': 67, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '13436928.vv.4.CC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.cc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3359232.bhs', 'subgroup_hash': 7586765936726737179, 'subgroup_order': 3359232, 'subgroup_tex': 'C_3^8:(C_2\\times D_8).\\SD_{16}', 'supersolvable': False, 'sylow': 0}
    • id: 138764847
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '13436928.vv', 'ambient_counter': 568, 'ambient_order': 13436928, 'ambient_tex': 'C_3^8:C_4^2.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1679616, 'counter': 68, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '13436928.vv.4.CD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.cd1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3359232.sz', 'subgroup_hash': 8925387850681695234, 'subgroup_order': 3359232, 'subgroup_tex': 'C_3^8:\\SD_{16}\\wr C_2', 'supersolvable': False, 'sylow': 0}
    • id: 138764848
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '13436928.vv', 'ambient_counter': 568, 'ambient_order': 13436928, 'ambient_tex': 'C_3^8:C_4^2.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1679616, 'counter': 69, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '13436928.vv.4.CE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.ce1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3359232.bif', 'subgroup_hash': 8925387850681695234, 'subgroup_order': 3359232, 'subgroup_tex': 'C_3^8:\\SD_{16}\\wr C_2', 'supersolvable': False, 'sylow': 0}
    • id: 138764850
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '13436928.vv', 'ambient_counter': 568, 'ambient_order': 13436928, 'ambient_tex': 'C_3^8:C_4^2.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1679616, 'counter': 70, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '13436928.vv.4.CF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.cf1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3359232.vw', 'subgroup_hash': 4404357685809972184, 'subgroup_order': 3359232, 'subgroup_tex': 'C_3^8:\\SD_{16}\\wr C_2', 'supersolvable': False, 'sylow': 0}
    • id: 138764851
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '13436928.vv', 'ambient_counter': 568, 'ambient_order': 13436928, 'ambient_tex': 'C_3^8:C_4^2.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1679616, 'counter': 71, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '13436928.vv.4.CG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.cg1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3359232.bie', 'subgroup_hash': 4404357685809972184, 'subgroup_order': 3359232, 'subgroup_tex': 'C_3^8:\\SD_{16}\\wr C_2', 'supersolvable': False, 'sylow': 0}
    • id: 138764852
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '13436928.vv', 'ambient_counter': 568, 'ambient_order': 13436928, 'ambient_tex': 'C_3^8:C_4^2.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 1679616, 'counter': 72, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '13436928.vv.8.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7265881481503839425, 'subgroup_order': 1679616, 'subgroup_tex': 'C_3^8.C_2^4.C_2^4', 'supersolvable': False, 'sylow': 0}
    • id: 138764853
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '13436928.vv', 'ambient_counter': 568, 'ambient_order': 13436928, 'ambient_tex': 'C_3^8:C_4^2.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 1679616, 'counter': 73, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '13436928.vv.8.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8012750289175926831, 'subgroup_order': 1679616, 'subgroup_tex': 'C_3^8.C_4:D_4.C_2^3', 'supersolvable': False, 'sylow': 0}
    • id: 138764854
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '13436928.vv', 'ambient_counter': 568, 'ambient_order': 13436928, 'ambient_tex': 'C_3^8:C_4^2.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 1679616, 'counter': 74, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '13436928.vv.8.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 520676555591281195, 'subgroup_order': 1679616, 'subgroup_tex': 'C_3^8.C_4^2.C_2^4', 'supersolvable': False, 'sylow': 0}
    • id: 138764855
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '13436928.vv', 'ambient_counter': 568, 'ambient_order': 13436928, 'ambient_tex': 'C_3^8:C_4^2.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 1679616, 'counter': 75, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '13436928.vv.8.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 197590622986036533, 'subgroup_order': 1679616, 'subgroup_tex': 'C_3^8.C_2^2.C_2^6', 'supersolvable': False, 'sylow': 0}
    • id: 138764856
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '13436928.vv', 'ambient_counter': 568, 'ambient_order': 13436928, 'ambient_tex': 'C_3^8:C_4^2.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 1679616, 'counter': 76, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '13436928.vv.8.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2221640456438780273, 'subgroup_order': 1679616, 'subgroup_tex': 'C_3^8.C_4:Q_8.C_2^3', 'supersolvable': False, 'sylow': 0}
    • id: 138764857
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '13436928.vv', 'ambient_counter': 568, 'ambient_order': 13436928, 'ambient_tex': 'C_3^8:C_4^2.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 1679616, 'counter': 77, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '13436928.vv.8.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8651080172885847244, 'subgroup_order': 1679616, 'subgroup_tex': 'C_3^8.C_4^2.C_2^4', 'supersolvable': False, 'sylow': 0}
    • id: 138764858
      {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '13436928.vv', 'ambient_counter': 568, 'ambient_order': 13436928, 'ambient_tex': 'C_3^8:C_4^2.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 1679616, 'counter': 78, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '13436928.vv.8.G', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8069046266410173823, 'subgroup_order': 1679616, 'subgroup_tex': 'C_3^8.C_4^2.C_2^4', 'supersolvable': False, 'sylow': 0}
    • id: 138764859
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '13436928.vv', 'ambient_counter': 568, 'ambient_order': 13436928, 'ambient_tex': 'C_3^8:C_4^2.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1679616, 'counter': 79, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '13436928.vv.8.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': ['C3'], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8389242943979036194, 'subgroup_order': 1679616, 'subgroup_tex': 'C_3^8.D_4^2.C_2^2', 'supersolvable': False, 'sylow': 0}
    • id: 138764861
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '13436928.vv', 'ambient_counter': 568, 'ambient_order': 13436928, 'ambient_tex': 'C_3^8:C_4^2.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1679616, 'counter': 80, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '13436928.vv.8.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8389242943979036194, 'subgroup_order': 1679616, 'subgroup_tex': 'C_3^8.D_4^2.C_2^2', 'supersolvable': False, 'sylow': 0}
    • id: 138764862
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '13436928.vv', 'ambient_counter': 568, 'ambient_order': 13436928, 'ambient_tex': 'C_3^8:C_4^2.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1679616, 'counter': 81, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '13436928.vv.8.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 9155915122911664697, 'subgroup_order': 1679616, 'subgroup_tex': 'C_3^8.D_4^2.C_2^2', 'supersolvable': False, 'sylow': 0}
    • id: 138764863
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '13436928.vv', 'ambient_counter': 568, 'ambient_order': 13436928, 'ambient_tex': 'C_3^8:C_4^2.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1679616, 'counter': 82, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '13436928.vv.8.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.k1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5380773046172506624, 'subgroup_order': 1679616, 'subgroup_tex': 'C_3^8.C_4^2.C_2^4', 'supersolvable': False, 'sylow': 0}
    • id: 138764864
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '13436928.vv', 'ambient_counter': 568, 'ambient_order': 13436928, 'ambient_tex': 'C_3^8:C_4^2.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1679616, 'counter': 83, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '13436928.vv.8.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.l1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4804188752941893560, 'subgroup_order': 1679616, 'subgroup_tex': 'C_3^8.D_4^2.C_2^2', 'supersolvable': False, 'sylow': 0}
    • id: 138764865
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '13436928.vv', 'ambient_counter': 568, 'ambient_order': 13436928, 'ambient_tex': 'C_3^8:C_4^2.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1679616, 'counter': 84, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '13436928.vv.8.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.m1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4804188752941893560, 'subgroup_order': 1679616, 'subgroup_tex': 'C_3^8.C_4^2.C_2^4', 'supersolvable': False, 'sylow': 0}
    • id: 138764866
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '13436928.vv', 'ambient_counter': 568, 'ambient_order': 13436928, 'ambient_tex': 'C_3^8:C_4^2.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 1679616, 'counter': 85, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '13436928.vv.8.N', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.n1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1679616.ua', 'subgroup_hash': 8021208415219966846, 'subgroup_order': 1679616, 'subgroup_tex': 'C_3^8:C_4^2.C_2^4', 'supersolvable': False, 'sylow': 0}
    • id: 138764867
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '13436928.vv', 'ambient_counter': 568, 'ambient_order': 13436928, 'ambient_tex': 'C_3^8:C_4^2.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1679616, 'counter': 86, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '13436928.vv.8.O', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.o1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3927958123988218658, 'subgroup_order': 1679616, 'subgroup_tex': 'C_3^8.C_4^2.C_2^4', 'supersolvable': False, 'sylow': 0}
    • id: 138764868
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '13436928.vv', 'ambient_counter': 568, 'ambient_order': 13436928, 'ambient_tex': 'C_3^8:C_4^2.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 1679616, 'counter': 87, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '13436928.vv.8.P', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.p1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4818057480063313497, 'subgroup_order': 1679616, 'subgroup_tex': 'C_3^8.C_4^2.C_2^4', 'supersolvable': False, 'sylow': 0}
    • id: 138764869
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '13436928.vv', 'ambient_counter': 568, 'ambient_order': 13436928, 'ambient_tex': 'C_3^8:C_4^2.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 1679616, 'counter': 88, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '13436928.vv.8.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.q1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4818057480063313497, 'subgroup_order': 1679616, 'subgroup_tex': 'C_3^8.C_4^2.C_2^4', 'supersolvable': False, 'sylow': 0}
    • id: 138764870
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '13436928.vv', 'ambient_counter': 568, 'ambient_order': 13436928, 'ambient_tex': 'C_3^8:C_4^2.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 1679616, 'counter': 89, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '13436928.vv.8.R', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.r1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1679616.ng', 'subgroup_hash': 4645213755864773898, 'subgroup_order': 1679616, 'subgroup_tex': 'C_3^8:(C_2^2.D_4^2)', 'supersolvable': False, 'sylow': 0}
    • id: 138764872
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '13436928.vv', 'ambient_counter': 568, 'ambient_order': 13436928, 'ambient_tex': 'C_3^8:C_4^2.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1679616, 'counter': 90, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '13436928.vv.8.S', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.s1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1679616.nf', 'subgroup_hash': 1697024657968167828, 'subgroup_order': 1679616, 'subgroup_tex': 'C_3^8:(C_2^2\\times D_4).D_4', 'supersolvable': False, 'sylow': 0}
    • id: 138764873
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '13436928.vv', 'ambient_counter': 568, 'ambient_order': 13436928, 'ambient_tex': 'C_3^8:C_4^2.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1679616, 'counter': 91, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '13436928.vv.8.T', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.t1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1679616.ne', 'subgroup_hash': 4581899759817761805, 'subgroup_order': 1679616, 'subgroup_tex': 'C_3^8:(C_2^2\\times Q_8).D_4', 'supersolvable': False, 'sylow': 0}
    • id: 138764874
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '13436928.vv', 'ambient_counter': 568, 'ambient_order': 13436928, 'ambient_tex': 'C_3^8:C_4^2.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 1679616, 'counter': 92, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '13436928.vv.8.U', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.u1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1679616.ud', 'subgroup_hash': 1317002481833368490, 'subgroup_order': 1679616, 'subgroup_tex': 'C_3^8:(C_2\\times C_8.D_8)', 'supersolvable': False, 'sylow': 0}
    • id: 138764875
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '13436928.vv', 'ambient_counter': 568, 'ambient_order': 13436928, 'ambient_tex': 'C_3^8:C_4^2.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 1679616, 'counter': 93, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '13436928.vv.8.V', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.v1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1679616.nj', 'subgroup_hash': 1317002481833368490, 'subgroup_order': 1679616, 'subgroup_tex': 'C_3^8:(C_2\\times C_8.D_8)', 'supersolvable': False, 'sylow': 0}
    • id: 138764876
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '13436928.vv', 'ambient_counter': 568, 'ambient_order': 13436928, 'ambient_tex': 'C_3^8:C_4^2.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1679616, 'counter': 94, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '13436928.vv.8.W', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.w1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3927958123988218658, 'subgroup_order': 1679616, 'subgroup_tex': 'C_3^8.C_4^2.C_2^4', 'supersolvable': False, 'sylow': 0}
    • id: 138764877
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '13436928.vv', 'ambient_counter': 568, 'ambient_order': 13436928, 'ambient_tex': 'C_3^8:C_4^2.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 1679616, 'counter': 95, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '13436928.vv.8.X', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.x1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4818057480063313497, 'subgroup_order': 1679616, 'subgroup_tex': 'C_3^8.C_4^2.C_2^4', 'supersolvable': False, 'sylow': 0}
    • id: 138764878
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '13436928.vv', 'ambient_counter': 568, 'ambient_order': 13436928, 'ambient_tex': 'C_3^8:C_4^2.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 1679616, 'counter': 96, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '13436928.vv.8.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.y1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4818057480063313497, 'subgroup_order': 1679616, 'subgroup_tex': 'C_3^8.C_4^2.C_2^4', 'supersolvable': False, 'sylow': 0}
    • id: 138764879
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '13436928.vv', 'ambient_counter': 568, 'ambient_order': 13436928, 'ambient_tex': 'C_3^8:C_4^2.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1679616, 'counter': 97, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '13436928.vv.8.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.z1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 9091682170818557465, 'subgroup_order': 1679616, 'subgroup_tex': 'C_3^8.C_4^2.C_2^4', 'supersolvable': False, 'sylow': 0}
    • id: 138764880
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '13436928.vv', 'ambient_counter': 568, 'ambient_order': 13436928, 'ambient_tex': 'C_3^8:C_4^2.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1679616, 'counter': 98, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '13436928.vv.8.BA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.ba1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 9091682170818557465, 'subgroup_order': 1679616, 'subgroup_tex': 'C_3^8.C_4^2.C_2^4', 'supersolvable': False, 'sylow': 0}
    • id: 138764881
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '13436928.vv', 'ambient_counter': 568, 'ambient_order': 13436928, 'ambient_tex': 'C_3^8:C_4^2.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1679616, 'counter': 99, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '13436928.vv.8.BB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.bb1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5688906320782280357, 'subgroup_order': 1679616, 'subgroup_tex': 'C_3^8.C_4^2.C_2^4', 'supersolvable': False, 'sylow': 0}
    • id: 138764438
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '13436928.vv', 'ambient_counter': 568, 'ambient_order': 13436928, 'ambient_tex': 'C_3^8:C_4^2.C_2\\wr D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1679616, 'counter': 100, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '13436928.vv.8.BC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.bc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5688906320782280357, 'subgroup_order': 1679616, 'subgroup_tex': 'C_3^8.C_4^2.C_2^4', 'supersolvable': False, 'sylow': 0}
  • gps_subgroup_data • Show schema
    Showing the first 100 of 446 matching records in this table.
    • id: 138764436
      {'ambient': '13436928.vv', 'aut_centralizer_order': None, 'aut_label': '1.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [19, 348, 14, 38], 'generators': [1134035329996800, 2644211020953600, 2093469487138597682483622977913812448000, 219574, 12418213438020741424858320752960609780089, 72941183935141009401051250646981205497477, 33505439876207050752000598, 2935368367171969558782309364, 20666822212129681233873042865742574604800, 1225162128215623409897485679720170329600, 84785262589365552283661542091347597399679, 158621406007028569078125179269695306322150, 31912007105919444751611237826296590538690, 203316376097328756499796399263882459156423, 80884, 296055878968489714314282801590454201600, 806634631152493057474836480, 1341127605894281783757305113098182998, 254956847163753687271967032625089506136773], 'label': '13436928.vv.1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '1.a1', 'projective_image': '13436928.vv', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1.a1', 'subgroup_fusion': None, 'weyl_group': '13436928.vv'}
    • id: 138764437
      {'ambient': '13436928.vv', 'aut_centralizer_order': None, 'aut_label': '2.I', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '2.I', 'coset_action_label': None, 'count': 2, 'diagramx': [128, 1436, 132, 361], 'generators': [84785262589365552283661542091347597399679, 2644211020953600, 340958351200315687162939336159398954295504, 80884, 203316376097328756499796399263882459156423, 72941183935141009401051250646981205497477, 63822384498267784571708471511350030676480, 296055878968489714314282801590454201600, 158621406007028598213197325713657436754240, 2093469487138597682483622977913812448000, 219574, 20666822212129681233873043664368972953600, 1341127605894281783757305113098182998, 1134035329996800, 3323173348582512223518765507, 1225162128215623409897485679720170329600, 12418213438020741424858320752960609780089, 418829649741950392738068480], 'label': '13436928.vv.2.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.I', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '2.i1', 'projective_image': '13436928.vv', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.I', 'subgroup_fusion': None, 'weyl_group': '13436928.vv'}
    • id: 138764438
      {'ambient': '13436928.vv', 'aut_centralizer_order': None, 'aut_label': '8.BC', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '8.BC', 'coset_action_label': None, 'count': 2, 'diagramx': [2790, 3166, 4317, 3615], 'generators': [84785262589365552283661542091347597399679, 2644211020953600, 80884, 203316376097328756499796399263882459156423, 2935368367171969558782309364, 31912007105919444751611237826296590538690, 806634631152493057474836480, 296055878968489714314282801590454201600, 626251666301734257780332376781055462998, 219574, 20666822212129681233873042865742574604800, 1134035329996800, 1225162128215623409897485679720170329600, 203021916253959377970610193988453136676640, 12418213438020741424858320752960609780089, 72940682324299565669467232977951700729077], 'label': '13436928.vv.8.BC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.BC', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.bc1', 'projective_image': '13436928.vv', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.BC', 'subgroup_fusion': None, 'weyl_group': '13436928.vv'}
    • id: 138764439
      {'ambient': '13436928.vv', 'aut_centralizer_order': None, 'aut_label': '8.BD', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '32.U', 'coset_action_label': None, 'count': 4, 'diagramx': [3057, -1, 4527, -1], 'generators': [84785262589365552283661542091347597399679, 2644211020953600, 80884, 2935368367171969558782309364, 72941183935141009401051250646981205497477, 31912007105919444751611237826296590538690, 806634631152493057474836480, 296055878968489714314282801590454201600, 219574, 626251666301734257780332376781055462998, 20666822212129681233873042865742574604800, 203021916253959344465170317781402384676997, 33505439876207050752000598, 1134035329996800, 1225162128215623409897485679720170329600, 12418213438020741424858320752960609780089], 'label': '13436928.vv.8.BD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.B', 'old_label': '8.bd1', 'projective_image': '13436928.vv', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.BD', 'subgroup_fusion': None, 'weyl_group': None}
    • id: 138764440
      {'ambient': '13436928.vv', 'aut_centralizer_order': None, 'aut_label': '8.BE', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '32.W', 'coset_action_label': None, 'count': 4, 'diagramx': [9160, -1, 9338, -1], 'generators': [84785262589365552283661542091347597399679, 2644211020953600, 80884, 2935368367171969558782309364, 72941183935141009401051250646981205497477, 31912007105919444751611237826296590538690, 806634631152493057474836480, 296055878968489714314282801590454201600, 626251666301734257780332376781055462998, 219574, 20666822212129681233873042865742574604800, 203021916253959344465170317781402384676997, 1134035329996800, 1225162128215623409897485679720170329600, 12418213438020741424858320752960609780089, 203316878238675904964949801661762370990023], 'label': '13436928.vv.8.BE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.B', 'old_label': '8.be1', 'projective_image': '13436928.vv', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.BE', 'subgroup_fusion': None, 'weyl_group': None}
    • id: 138764441
      {'ambient': '13436928.vv', 'aut_centralizer_order': None, 'aut_label': '8.BF', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '32.T', 'coset_action_label': None, 'count': 4, 'diagramx': [3023, -1, 4501, -1], 'generators': [84785262589365552283661542091347597399679, 2644211020953600, 80884, 203316376097328788116761779978037180436880, 2935368367171969558782309364, 31912007105919444751611237826296590538690, 806634631152493057474836480, 63822384498276235022630314962797642749187, 296055878968489714314282801590454201600, 275631283954367949022925755205765083274599, 219574, 2093469487138597682483622977913812448000, 20666822212129681233873042865742574604800, 1134035329996800, 1225162128215623409897485679720170329600, 12418213438020741424858320752960609780089], 'label': '13436928.vv.8.BF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.B', 'old_label': '8.bf1', 'projective_image': '13436928.vv', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.BF', 'subgroup_fusion': None, 'weyl_group': None}
    • id: 138764442
      {'ambient': '13436928.vv', 'aut_centralizer_order': None, 'aut_label': '8.BG', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '32.V', 'coset_action_label': None, 'count': 4, 'diagramx': [9127, -1, 9312, -1], 'generators': [84785262589365552283661542091347597399679, 2644211020953600, 80884, 2935368367171969558782309364, 31912007105919444751611237826296590538690, 806634631152493057474836480, 84489766641501005353426890230634958506690, 63822384498276235022630314962797642749187, 296055878968489714314282801590454201600, 275631283954367949022925755205765083274599, 219574, 2093469487138597682483622977913812448000, 20666822212129681233873042865742574604800, 1134035329996800, 1225162128215623409897485679720170329600, 12418213438020741424858320752960609780089], 'label': '13436928.vv.8.BG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.B', 'old_label': '8.bg1', 'projective_image': '13436928.vv', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.BG', 'subgroup_fusion': None, 'weyl_group': None}
    • id: 138764443
      {'ambient': '13436928.vv', 'aut_centralizer_order': None, 'aut_label': '8.BH', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '32.O', 'coset_action_label': None, 'count': 4, 'diagramx': [8344, -1, 8695, -1], 'generators': [84785262589365552283661542091347597399679, 2644211020953600, 80884, 2935368367171969558782309364, 31912007105919444751611237826296590538690, 806634631152493057474836480, 296055878968489714314282801590454201600, 219574, 202101764684243690061280304273547652238480, 20666822212129681233873042865742574604800, 203021916253959344465170317781402384676997, 33505439876207050752000598, 1134035329996800, 1225162128215623409897485679720170329600, 12418213438020741424858320752960609780089, 72940682324299565669467232977951700729077], 'label': '13436928.vv.8.BH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.B', 'old_label': '8.bh1', 'projective_image': '13436928.vv', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.BH', 'subgroup_fusion': None, 'weyl_group': None}
    • id: 138764444
      {'ambient': '13436928.vv', 'aut_centralizer_order': None, 'aut_label': '8.BI', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '32.O', 'coset_action_label': None, 'count': 4, 'diagramx': [8378, -1, 8722, -1], 'generators': [84785262589365552283661542091347597399679, 2644211020953600, 80884, 2935368367171969558782309364, 31912007105919444751611237826296590538690, 806634631152493057474836480, 296055878968489714314282801590454201600, 202101764684243690061280304273547652238480, 219574, 20666822212129681233873042865742574604800, 203021916253959344465170317781402384676997, 1134035329996800, 1225162128215623409897485679720170329600, 12418213438020741424858320752960609780089, 72940682324299565669467232977951700729077, 203316878238675904964949801661762370990023], 'label': '13436928.vv.8.BI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.B', 'old_label': '8.bi1', 'projective_image': '13436928.vv', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.BI', 'subgroup_fusion': None, 'weyl_group': None}
    • id: 138764445
      {'ambient': '13436928.vv', 'aut_centralizer_order': None, 'aut_label': '8.BJ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '32.P', 'coset_action_label': None, 'count': 4, 'diagramx': [6384, -1, 7150, -1], 'generators': [84785262589365552283661542091347597399679, 2644211020953600, 80884, 2935368367171969558782309364, 72941183935141009401051250646981205497477, 31912007105919444751611237826296590538690, 806634631152493057474836480, 296055878968489714314282801590454201600, 219574, 2093469487138597682483622977913812448000, 20666822212129681233873042865742574604800, 203021916253959344465170317781402384676997, 33505439876207050752000598, 1134035329996800, 1225162128215623409897485679720170329600, 12418213438020741424858320752960609780089], 'label': '13436928.vv.8.BJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.B', 'old_label': '8.bj1', 'projective_image': '13436928.vv', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.BJ', 'subgroup_fusion': None, 'weyl_group': None}
    • id: 138764446
      {'ambient': '13436928.vv', 'aut_centralizer_order': None, 'aut_label': '8.BK', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '32.Q', 'coset_action_label': None, 'count': 4, 'diagramx': [6351, -1, 7124, -1], 'generators': [84785262589365552283661542091347597399679, 2644211020953600, 80884, 203316376097328788116761779978037180436880, 2935368367171969558782309364, 31912007105919444751611237826296590538690, 806634631152493057474836480, 63822384498276235022630314962797642749187, 202734856699831069628803478452318567367623, 296055878968489714314282801590454201600, 275631283954367949022925755205765083274599, 219574, 20666822212129681233873042865742574604800, 1134035329996800, 1225162128215623409897485679720170329600, 12418213438020741424858320752960609780089], 'label': '13436928.vv.8.BK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.B', 'old_label': '8.bk1', 'projective_image': '13436928.vv', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.BK', 'subgroup_fusion': None, 'weyl_group': None}
    • id: 138764447
      {'ambient': '13436928.vv', 'aut_centralizer_order': None, 'aut_label': '8.BL', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '32.N', 'coset_action_label': None, 'count': 4, 'diagramx': [5409, -1, 6382, -1], 'generators': [84785262589365552283661542091347597399679, 2644211020953600, 80884, 2935368367171969558782309364, 31912007105919444751611237826296590538690, 806634631152493057474836480, 296055878968489714314282801590454201600, 2093469487138597682483622977913812448000, 219574, 20666822212129681233873042865742574604800, 203021916253959344465170317781402384676997, 1134035329996800, 1225162128215623409897485679720170329600, 12418213438020741424858320752960609780089, 72940682324299565669467232977951700729077, 203316878238675904964949801661762370990023], 'label': '13436928.vv.8.BL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.B', 'old_label': '8.bl1', 'projective_image': '13436928.vv', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.BL', 'subgroup_fusion': None, 'weyl_group': None}
    • id: 138764448
      {'ambient': '13436928.vv', 'aut_centralizer_order': None, 'aut_label': '2.J', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '2.J', 'coset_action_label': None, 'count': 2, 'diagramx': [218, 2317, 202, 553], 'generators': [84785262589365552283661542091347597399679, 2644211020953600, 340958351200315687162939336159398954295504, 80884, 203316376097328756499796399263882459156423, 72941183935141009401051250646981205497477, 158934539412996122920044275204251639186150, 63822384498267784571708471511350030676480, 296055878968489714314282801590454201600, 158621406007028598213197325713657436754240, 219574, 20666822212129681233873043664368972953600, 1341127605894281783757305113098182998, 1134035329996800, 3323173348582512223518765507, 1225162128215623409897485679720170329600, 12418213438020741424858320752960609780089, 418829649741950392738068480], 'label': '13436928.vv.2.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.J', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '2.j1', 'projective_image': '13436928.vv', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.J', 'subgroup_fusion': None, 'weyl_group': '13436928.vv'}
    • id: 138764449
      {'ambient': '13436928.vv', 'aut_centralizer_order': None, 'aut_label': '8.BM', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '32.N', 'coset_action_label': None, 'count': 4, 'diagramx': [5376, -1, 6355, -1], 'generators': [84785262589365552283661542091347597399679, 2644211020953600, 80884, 2935368367171969558782309364, 31912007105919444751611237826296590538690, 806634631152493057474836480, 296055878968489714314282801590454201600, 219574, 2093469487138597682483622977913812448000, 20666822212129681233873042865742574604800, 203021916253959344465170317781402384676997, 33505439876207050752000598, 1134035329996800, 1225162128215623409897485679720170329600, 12418213438020741424858320752960609780089, 72940682324299565669467232977951700729077], 'label': '13436928.vv.8.BM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.B', 'old_label': '8.bm1', 'projective_image': '13436928.vv', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.BM', 'subgroup_fusion': None, 'weyl_group': None}
    • id: 138764450
      {'ambient': '13436928.vv', 'aut_centralizer_order': None, 'aut_label': '8.BN', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '32.Q', 'coset_action_label': None, 'count': 4, 'diagramx': [449, -1, 2472, -1], 'generators': [84785262589365552283661542091347597399679, 2644211020953600, 80884, 203316376097328788116761779978037180436880, 2935368367171969558782309364, 31912007105919444751611237826296590538690, 806634631152493057474836480, 63822384498276235022630314962797642749187, 296055878968489714314282801590454201600, 275631283954367949022925755205765083274599, 219574, 20666822212129681233873042865742574604800, 1134035329996800, 1225162128215623409897485679720170329600, 12418213438020741424858320752960609780089, 83290933529833898141425865355494925565588], 'label': '13436928.vv.8.BN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.B', 'old_label': '8.bn1', 'projective_image': '13436928.vv', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.BN', 'subgroup_fusion': None, 'weyl_group': None}
    • id: 138764451
      {'ambient': '13436928.vv', 'aut_centralizer_order': None, 'aut_label': '8.BO', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '32.P', 'coset_action_label': None, 'count': 4, 'diagramx': [483, -1, 2498, -1], 'generators': [84785262589365552283661542091347597399679, 2644211020953600, 80884, 2935368367171969558782309364, 72941183935141009401051250646981205497477, 31912007105919444751611237826296590538690, 806634631152493057474836480, 296055878968489714314282801590454201600, 219574, 202101764684243690061280304273547652238480, 20666822212129681233873042865742574604800, 203021916253959344465170317781402384676997, 33505439876207050752000598, 1134035329996800, 1225162128215623409897485679720170329600, 12418213438020741424858320752960609780089], 'label': '13436928.vv.8.BO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.B', 'old_label': '8.bo1', 'projective_image': '13436928.vv', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.BO', 'subgroup_fusion': None, 'weyl_group': None}
    • id: 138764452
      {'ambient': '13436928.vv', 'aut_centralizer_order': None, 'aut_label': '8.BP', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '32.S', 'coset_action_label': None, 'count': 4, 'diagramx': [9649, -1, 9723, -1], 'generators': [84785262589365552283661542091347597399679, 2644211020953600, 80884, 2935368367171969558782309364, 31912007105919444751611237826296590538690, 806634631152493057474836480, 202734856699831069628803478452318567367623, 296055878968489714314282801590454201600, 219574, 20666822212129681233873042865742574604800, 203021916253959344465170317781402384676997, 1134035329996800, 1225162128215623409897485679720170329600, 12418213438020741424858320752960609780089, 72940682324299565669467232977951700729077, 203316878238675904964949801661762370990023], 'label': '13436928.vv.8.BP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.B', 'old_label': '8.bp1', 'projective_image': '13436928.vv', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.BP', 'subgroup_fusion': None, 'weyl_group': None}
    • id: 138764453
      {'ambient': '13436928.vv', 'aut_centralizer_order': None, 'aut_label': '8.BQ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '32.R', 'coset_action_label': None, 'count': 4, 'diagramx': [9616, -1, 9697, -1], 'generators': [84785262589365552283661542091347597399679, 2644211020953600, 80884, 2935368367171969558782309364, 31912007105919444751611237826296590538690, 806634631152493057474836480, 296055878968489714314282801590454201600, 626251666301734257780332376781055462998, 219574, 20666822212129681233873042865742574604800, 203021916253959344465170317781402384676997, 33505439876207050752000598, 1134035329996800, 1225162128215623409897485679720170329600, 12418213438020741424858320752960609780089, 72940682324299565669467232977951700729077], 'label': '13436928.vv.8.BQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.B', 'old_label': '8.bq1', 'projective_image': '13436928.vv', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.BQ', 'subgroup_fusion': None, 'weyl_group': None}
    • id: 138764454
      {'ambient': '13436928.vv', 'aut_centralizer_order': None, 'aut_label': '8.BR', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '32.S', 'coset_action_label': None, 'count': 4, 'diagramx': [1293, -1, 3138, -1], 'generators': [84785262589365552283661542091347597399679, 2644211020953600, 80884, 2935368367171969558782309364, 31912007105919444751611237826296590538690, 806634631152493057474836480, 202734856699831069628803478452318567367623, 296055878968489714314282801590454201600, 219574, 20666822212129681233873042865742574604800, 203021916253959344465170317781402384676997, 33505439876207050752000598, 1134035329996800, 1225162128215623409897485679720170329600, 12418213438020741424858320752960609780089, 72940682324299565669467232977951700729077], 'label': '13436928.vv.8.BR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.B', 'old_label': '8.br1', 'projective_image': '13436928.vv', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.BR', 'subgroup_fusion': None, 'weyl_group': None}
    • id: 138764455
      {'ambient': '13436928.vv', 'aut_centralizer_order': None, 'aut_label': '8.BS', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '32.R', 'coset_action_label': None, 'count': 4, 'diagramx': [1260, -1, 3111, -1], 'generators': [84785262589365552283661542091347597399679, 2644211020953600, 80884, 2935368367171969558782309364, 31912007105919444751611237826296590538690, 806634631152493057474836480, 296055878968489714314282801590454201600, 626251666301734257780332376781055462998, 219574, 20666822212129681233873042865742574604800, 203021916253959344465170317781402384676997, 1134035329996800, 1225162128215623409897485679720170329600, 12418213438020741424858320752960609780089, 72940682324299565669467232977951700729077, 203316878238675904964949801661762370990023], 'label': '13436928.vv.8.BS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.B', 'old_label': '8.bs1', 'projective_image': '13436928.vv', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.BS', 'subgroup_fusion': None, 'weyl_group': None}
    • id: 138764456
      {'ambient': '13436928.vv', 'aut_centralizer_order': None, 'aut_label': '8.BT', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '128.F', 'coset_action_label': None, 'count': 8, 'diagramx': [8447, -1, 8776, -1], 'generators': [12130891266482442608824422939250381498489, 806634631152493057474836480, 84785262589365552283661542091347597399679, 296055878968489714314282801590454201600, 219574, 2935368367171969558782309364, 203316878238675936581915182375917092270480, 2644211020953600, 1134035329996800, 20666822212129681233873042865742574604800, 10628652128248066080688905974504287008889, 80884, 275631555573296442567891909524811844164049, 243181997375075436081361378982813899884553, 12418213438020662705569411087449751027999, 31912007105919444751611237826296590538690], 'label': '13436928.vv.8.BT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.BH', 'old_label': '8.bt1', 'projective_image': '13436928.vv', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.BT', 'subgroup_fusion': None, 'weyl_group': None}
    • id: 138764457
      {'ambient': '13436928.vv', 'aut_centralizer_order': None, 'aut_label': '8.BU', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '128.F', 'coset_action_label': None, 'count': 8, 'diagramx': [8412, -1, 8749, -1], 'generators': [12130891266482442608824422939250381498489, 806634631152493057474836480, 84785262589365552283661542091347597399679, 296055878968489714314282801590454201600, 219574, 2935368367171969558782309364, 203316878238675936581915182375917092270480, 2644211020953600, 1134035329996800, 20666822212129681233873042865742574604800, 10628652128248066080688905974504287008889, 80884, 275631555573296442567891909524811844164049, 243181997375075436081361378982813899884553, 33505439876207050752000598, 31912007105919444751611237826296590538690], 'label': '13436928.vv.8.BU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.BH', 'old_label': '8.bu1', 'projective_image': '13436928.vv', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.BU', 'subgroup_fusion': None, 'weyl_group': None}
    • id: 138764458
      {'ambient': '13436928.vv', 'aut_centralizer_order': None, 'aut_label': '8.BV', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '32.I', 'coset_action_label': None, 'count': 4, 'diagramx': [7235, -1, 7821, -1], 'generators': [84785262589365552283661542091347597399679, 2644211020953600, 203316376097328788116761779978037180436880, 80884, 2935368367171969558782309364, 31912007105919444751611237826296590538690, 806634631152493057474836480, 296055878968489714314282801590454201600, 219574, 1341127605894281783757305113098182998, 20666822212129681233873042865742574604800, 1134035329996800, 1225162128215623409897485679720170329600, 12418213438020741424858320752960609780089, 254956847163753687271967032625089506136773, 73808997906061209010788922300891658201477], 'label': '13436928.vv.8.BV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.B', 'old_label': '8.bv1', 'projective_image': '13436928.vv', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.BV', 'subgroup_fusion': None, 'weyl_group': None}
    • id: 138764459
      {'ambient': '13436928.vv', 'aut_centralizer_order': None, 'aut_label': '2.K', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '2.K', 'coset_action_label': None, 'count': 2, 'diagramx': [257, 2700, 233, 637], 'generators': [2644211020953600, 84785262589365552283661542091347597399679, 340958351200315687162939336159398954295504, 80884, 203316376097328756499796399263882459156423, 72941183935141009401051250646981205497477, 158934539412996122920044275204251639186150, 63822384498267784571708471511350030676480, 296055878968489714314282801590454201600, 219574, 20666822212129681233873043664368972953600, 1341127605894281783757305113098182998, 1134035329996800, 33505439876207050752000598, 3323173348582512223518765507, 1225162128215623409897485679720170329600, 12418213438020741424858320752960609780089, 418829649741950392738068480], 'label': '13436928.vv.2.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.K', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '2.k1', 'projective_image': '13436928.vv', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.K', 'subgroup_fusion': None, 'weyl_group': '13436928.vv'}
    • id: 138764460
      {'ambient': '13436928.vv', 'aut_centralizer_order': None, 'aut_label': '8.BW', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '32.I', 'coset_action_label': None, 'count': 4, 'diagramx': [7271, -1, 7849, -1], 'generators': [84785262589365552283661542091347597399679, 2644211020953600, 203316376097328788116761779978037180436880, 80884, 275032948586874542693513353043162274928849, 2935368367171969558782309364, 31912007105919444751611237826296590538690, 806634631152493057474836480, 296055878968489714314282801590454201600, 219574, 1341127605894281783757305113098182998, 20666822212129681233873042865742574604800, 1134035329996800, 1225162128215623409897485679720170329600, 12418213438020741424858320752960609780089, 254956847163753687271967032625089506136773], 'label': '13436928.vv.8.BW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.B', 'old_label': '8.bw1', 'projective_image': '13436928.vv', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.BW', 'subgroup_fusion': None, 'weyl_group': None}
    • id: 138764461
      {'ambient': '13436928.vv', 'aut_centralizer_order': None, 'aut_label': '8.BX', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '32.I', 'coset_action_label': None, 'count': 4, 'diagramx': [4207, -1, 5435, -1], 'generators': [84785262589365552283661542091347597399679, 2644211020953600, 203316376097328788116761779978037180436880, 80884, 2935368367171969558782309364, 31912007105919444751611237826296590538690, 806634631152493057474836480, 296055878968489714314282801590454201600, 219574, 2093469487138597682483622977913812448000, 1341127605894281783757305113098182998, 20666822212129681233873042865742574604800, 1134035329996800, 1225162128215623409897485679720170329600, 12418213438020741424858320752960609780089, 254956847163753687271967032625089506136773], 'label': '13436928.vv.8.BX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.B', 'old_label': '8.bx1', 'projective_image': '13436928.vv', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.BX', 'subgroup_fusion': None, 'weyl_group': None}
    • id: 138764462
      {'ambient': '13436928.vv', 'aut_centralizer_order': None, 'aut_label': '8.BY', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '32.I', 'coset_action_label': None, 'count': 4, 'diagramx': [1668, -1, 3433, -1], 'generators': [84785262589365552283661542091347597399679, 2644211020953600, 203316376097328788116761779978037180436880, 80884, 2935368367171969558782309364, 31912007105919444751611237826296590538690, 806634631152493057474836480, 202734856699831069628803478452318567367623, 296055878968489714314282801590454201600, 219574, 1341127605894281783757305113098182998, 20666822212129681233873042865742574604800, 1134035329996800, 1225162128215623409897485679720170329600, 12418213438020741424858320752960609780089, 254956847163753687271967032625089506136773], 'label': '13436928.vv.8.BY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.B', 'old_label': '8.by1', 'projective_image': '13436928.vv', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.BY', 'subgroup_fusion': None, 'weyl_group': None}
    • id: 138764463
      {'ambient': '13436928.vv', 'aut_centralizer_order': None, 'aut_label': '8.BZ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '16.R', 'coset_action_label': None, 'count': 4, 'diagramx': [4828, -1, 5924, -1], 'generators': [84785262589365552283661542091347597399679, 2644211020953600, 203316376097328788116761779978037180436880, 80884, 2935368367171969558782309364, 72941183935141009401051250646981205497477, 31912007105919444751611237826296590538690, 806634631152493057474836480, 296055878968489714314282801590454201600, 219574, 1341127605894281783757305113098182998, 20666822212129681233873042865742574604800, 1134035329996800, 1225162128215623409897485679720170329600, 12418213438020741424858320752960609780089, 254956847163753687271967032625089506136773], 'label': '13436928.vv.8.BZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.B', 'old_label': '8.bz1', 'projective_image': '13436928.vv', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.BZ', 'subgroup_fusion': None, 'weyl_group': None}
    • id: 138764464
      {'ambient': '13436928.vv', 'aut_centralizer_order': None, 'aut_label': '8.CA', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '16.S', 'coset_action_label': None, 'count': 4, 'diagramx': [4862, -1, 5950, -1], 'generators': [84785262589365552283661542091347597399679, 2644211020953600, 203316376097328788116761779978037180436880, 80884, 2935368367171969558782309364, 31912007105919444751611237826296590538690, 806634631152493057474836480, 296055878968489714314282801590454201600, 275631555573296442567891909524811844164049, 219574, 1341127605894281783757305113098182998, 20666822212129681233873042865742574604800, 1134035329996800, 1225162128215623409897485679720170329600, 12418213438020741424858320752960609780089, 254956847163753687271967032625089506136773], 'label': '13436928.vv.8.CA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.B', 'old_label': '8.ca1', 'projective_image': '13436928.vv', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.CA', 'subgroup_fusion': None, 'weyl_group': None}
    • id: 138764465
      {'ambient': '13436928.vv', 'aut_centralizer_order': None, 'aut_label': '8.CB', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '128.D', 'coset_action_label': None, 'count': 4, 'diagramx': [4243, -1, 5462, -1], 'generators': [84785262589365552283661542091347597399679, 2644211020953600, 80884, 203316376097328756499796399263882459156423, 2935368367171969558782309364, 31912007105919444751611237826296590538690, 806634631152493057474836480, 296055878968489714314282801590454201600, 219574, 2093469487138597682483622977913812448000, 1341127605894281783757305113098182998, 20666822212129681233873042865742574604800, 1134035329996800, 1225162128215623409897485679720170329600, 254956847163753687271967032625089506136773, 12418213438020662705569411087449751027999], 'label': '13436928.vv.8.CB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.BK', 'old_label': '8.cb1', 'projective_image': '13436928.vv', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.CB', 'subgroup_fusion': None, 'weyl_group': None}
    • id: 138764466
      {'ambient': '13436928.vv', 'aut_centralizer_order': None, 'aut_label': '8.CC', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '128.D', 'coset_action_label': None, 'count': 4, 'diagramx': [1703, -1, 3461, -1], 'generators': [84785262589365552283661542091347597399679, 2644211020953600, 80884, 203316376097328756499796399263882459156423, 2935368367171969558782309364, 31912007105919444751611237826296590538690, 806634631152493057474836480, 296055878968489714314282801590454201600, 12130891266482442608824422939250381498489, 219574, 1341127605894281783757305113098182998, 20666822212129681233873042865742574604800, 1134035329996800, 1225162128215623409897485679720170329600, 254956847163753687271967032625089506136773, 12418213438020662705569411087449751027999], 'label': '13436928.vv.8.CC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.BK', 'old_label': '8.cc1', 'projective_image': '13436928.vv', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.CC', 'subgroup_fusion': None, 'weyl_group': None}
    • id: 138764467
      {'ambient': '13436928.vv', 'aut_centralizer_order': None, 'aut_label': '8.CD', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '128.F', 'coset_action_label': None, 'count': 8, 'diagramx': [844, -1, 2784, -1], 'generators': [263839626161811521884825128323463413989393, 84785262589365552283661542091347597399679, 2644211020953600, 80884, 203316376097328756499796399263882459156423, 2935368367171969558782309364, 31912007105919444751611237826296590538690, 806634631152493057474836480, 296055878968489714314282801590454201600, 12130891266482442608824422939250381498489, 219574, 1341127605894281783757305113098182998, 20666822212129681233873042865742574604800, 1134035329996800, 33505439876207050752000598, 1225162128215623409897485679720170329600], 'label': '13436928.vv.8.CD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.BK', 'old_label': '8.cd1', 'projective_image': '13436928.vv', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.CD', 'subgroup_fusion': None, 'weyl_group': None}
    • id: 138764468
      {'ambient': '13436928.vv', 'aut_centralizer_order': None, 'aut_label': '8.CE', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '128.F', 'coset_action_label': None, 'count': 8, 'diagramx': [882, -1, 2813, -1], 'generators': [263839626161811521884825128323463413989393, 84785262589365552283661542091347597399679, 2644211020953600, 80884, 203316376097328756499796399263882459156423, 2935368367171969558782309364, 31912007105919444751611237826296590538690, 806634631152493057474836480, 296055878968489714314282801590454201600, 12130891266482442608824422939250381498489, 219574, 1341127605894281783757305113098182998, 20666822212129681233873042865742574604800, 1134035329996800, 1225162128215623409897485679720170329600, 12418213438020662705569411087449751027999], 'label': '13436928.vv.8.CE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.BK', 'old_label': '8.ce1', 'projective_image': '13436928.vv', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.CE', 'subgroup_fusion': None, 'weyl_group': None}
    • id: 138764469
      {'ambient': '13436928.vv', 'aut_centralizer_order': None, 'aut_label': '8.CF', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '32.P', 'coset_action_label': None, 'count': 4, 'diagramx': [771, -1, 2726, -1], 'generators': [84785262589365552283661542091347597399679, 2644211020953600, 80884, 2935368367171969558782309364, 72941183935141009401051250646981205497477, 31912007105919444751611237826296590538690, 806634631152493057474836480, 296055878968489714314282801590454201600, 219574, 626251666301734257780332376781055462998, 20666822212129681233873042865742574604800, 1341127605860776343881098062346182400, 1134035329996800, 203021916253959344465170317781402384676997, 1225162128215623409897485679720170329600, 12418213438020741424858320752960609780089], 'label': '13436928.vv.8.CF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.B', 'old_label': '8.cf1', 'projective_image': '13436928.vv', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.CF', 'subgroup_fusion': None, 'weyl_group': None}
    • id: 138764470
      {'ambient': '13436928.vv', 'aut_centralizer_order': None, 'aut_label': '4.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4.A', 'coset_action_label': None, 'count': 1, 'diagramx': [997, 5257, 1158, 2127], 'generators': [84785262589365552283661542091347597399679, 2644211020953600, 80884, 203316376097328756499796399263882459156423, 72941183935141009401051250646981205497477, 63822384498267784571708471511350030676480, 296055878968489714314282801590454201600, 219574, 20666822212129681233873043664368972953600, 1341127605894281783757305113098182998, 33505439876207050752000598, 1134035329996800, 3323173348582512223518765507, 1225162128215623409897485679720170329600, 12418213438020741424858320752960609780089, 254956847163753687271967032625089506136773, 418829649741950392738068480], 'label': '13436928.vv.4.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '4.a1', 'projective_image': '13436928.vv', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.A', 'subgroup_fusion': None, 'weyl_group': '13436928.vv'}
    • id: 138764471
      {'ambient': '13436928.vv', 'aut_centralizer_order': None, 'aut_label': '8.CG', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '32.Q', 'coset_action_label': None, 'count': 4, 'diagramx': [737, -1, 2700, -1], 'generators': [84785262589365552283661542091347597399679, 2644211020953600, 80884, 2935368367171969558782309364, 31912007105919444751611237826296590538690, 806634631152493057474836480, 63822384498276235022630314962797642749187, 296055878968489714314282801590454201600, 275631283954367949022925755205765083274599, 219574, 2093469487138597682483622977913812448000, 20666822212129681233873042865742574604800, 1134035329996800, 33505439876207050752000598, 1225162128215623409897485679720170329600, 12418213438020741424858320752960609780089], 'label': '13436928.vv.8.CG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.B', 'old_label': '8.cg1', 'projective_image': '13436928.vv', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.CG', 'subgroup_fusion': None, 'weyl_group': None}
    • id: 138764472
      {'ambient': '13436928.vv', 'aut_centralizer_order': None, 'aut_label': '8.CH', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '32.O', 'coset_action_label': None, 'count': 4, 'diagramx': [7383, -1, 7937, -1], 'generators': [1225162128215623409897485679720170329600, 12418213438020741424858320752960609780089, 806634631152493057474836480, 84785262589365552283661542091347597399679, 296055878968489714314282801590454201600, 219574, 1341127605860776343881098062346182400, 2935368367171969558782309364, 203021916253959344465170317781402384676997, 72940682324299565669467232977951700729077, 2644211020953600, 1134035329996800, 20666822212129681233873042865742574604800, 80884, 202101764684243690061280304273547652238480, 31912007105919444751611237826296590538690], 'label': '13436928.vv.8.CH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.B', 'old_label': '8.ch1', 'projective_image': '13436928.vv', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.CH', 'subgroup_fusion': None, 'weyl_group': None}
    • id: 138764473
      {'ambient': '13436928.vv', 'aut_centralizer_order': None, 'aut_label': '8.CI', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.U', 'coset_action_label': None, 'count': 2, 'diagramx': [1360, -1, 3190, -1], 'generators': [84785262589365552283661542091347597399679, 2644211020953600, 80884, 2935368367171969558782309364, 72941183935141009401051250646981205497477, 31912007105919444751611237826296590538690, 806634631152493057474836480, 296055878968489714314282801590454201600, 219574, 2093469487138597682483622977913812448000, 20666822212129681233873042865742574604800, 1341127605860776343881098062346182400, 1134035329996800, 203021916253959344465170317781402384676997, 1225162128215623409897485679720170329600, 12418213438020741424858320752960609780089], 'label': '13436928.vv.8.CI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.B', 'old_label': '8.ci1', 'projective_image': '13436928.vv', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.CI', 'subgroup_fusion': None, 'weyl_group': None}
    • id: 138764474
      {'ambient': '13436928.vv', 'aut_centralizer_order': None, 'aut_label': '8.CJ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.T', 'coset_action_label': None, 'count': 2, 'diagramx': [1326, -1, 3164, -1], 'generators': [84785262589365552283661542091347597399679, 2644211020953600, 80884, 2935368367171969558782309364, 31912007105919444751611237826296590538690, 806634631152493057474836480, 63822384498276235022630314962797642749187, 202734856699831069628803478452318567367623, 296055878968489714314282801590454201600, 275631283954367949022925755205765083274599, 219574, 20666822212129681233873042865742574604800, 1134035329996800, 33505439876207050752000598, 1225162128215623409897485679720170329600, 12418213438020741424858320752960609780089], 'label': '13436928.vv.8.CJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.B', 'old_label': '8.cj1', 'projective_image': '13436928.vv', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.CJ', 'subgroup_fusion': None, 'weyl_group': None}
    • id: 138764475
      {'ambient': '13436928.vv', 'aut_centralizer_order': None, 'aut_label': '8.CK', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '32.N', 'coset_action_label': None, 'count': 4, 'diagramx': [6146, -1, 6962, -1], 'generators': [84785262589365552283661542091347597399679, 2644211020953600, 80884, 2935368367171969558782309364, 31912007105919444751611237826296590538690, 806634631152493057474836480, 296055878968489714314282801590454201600, 219574, 2093469487138597682483622977913812448000, 20666822212129681233873042865742574604800, 1341127605860776343881098062346182400, 1134035329996800, 203021916253959344465170317781402384676997, 1225162128215623409897485679720170329600, 12418213438020741424858320752960609780089, 72940682324299565669467232977951700729077], 'label': '13436928.vv.8.CK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.B', 'old_label': '8.ck1', 'projective_image': '13436928.vv', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.CK', 'subgroup_fusion': None, 'weyl_group': None}
    • id: 138764476
      {'ambient': '13436928.vv', 'aut_centralizer_order': None, 'aut_label': '8.CL', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.W', 'coset_action_label': None, 'count': 2, 'diagramx': [349, -1, 2394, -1], 'generators': [1225162128215623409897485679720170329600, 12418213438020741424858320752960609780089, 806634631152493057474836480, 84785262589365552283661542091347597399679, 296055878968489714314282801590454201600, 219574, 1341127605860776343881098062346182400, 2935368367171969558782309364, 203021916253959344465170317781402384676997, 2644211020953600, 1134035329996800, 20666822212129681233873042865742574604800, 72941183935141009401051250646981205497477, 80884, 202101764684243690061280304273547652238480, 31912007105919444751611237826296590538690], 'label': '13436928.vv.8.CL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.B', 'old_label': '8.cl1', 'projective_image': '13436928.vv', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.CL', 'subgroup_fusion': None, 'weyl_group': None}
    • id: 138764477
      {'ambient': '13436928.vv', 'aut_centralizer_order': None, 'aut_label': '8.CM', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.V', 'coset_action_label': None, 'count': 2, 'diagramx': [316, -1, 2367, -1], 'generators': [84785262589365552283661542091347597399679, 2644211020953600, 80884, 2935368367171969558782309364, 31912007105919444751611237826296590538690, 806634631152493057474836480, 63822384498276235022630314962797642749187, 296055878968489714314282801590454201600, 275631283954367949022925755205765083274599, 219574, 20666822212129681233873042865742574604800, 1134035329996800, 33505439876207050752000598, 1225162128215623409897485679720170329600, 12418213438020741424858320752960609780089, 83290933529833898141425865355494925565588], 'label': '13436928.vv.8.CM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.B', 'old_label': '8.cm1', 'projective_image': '13436928.vv', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.CM', 'subgroup_fusion': None, 'weyl_group': None}
    • id: 138764478
      {'ambient': '13436928.vv', 'aut_centralizer_order': None, 'aut_label': '8.CN', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '32.S', 'coset_action_label': None, 'count': 4, 'diagramx': [2254, -1, 3895, -1], 'generators': [1225162128215623409897485679720170329600, 12418213438020741424858320752960609780089, 806634631152493057474836480, 84785262589365552283661542091347597399679, 296055878968489714314282801590454201600, 219574, 1341127605860776343881098062346182400, 2935368367171969558782309364, 203021916253959344465170317781402384676997, 72940682324299565669467232977951700729077, 2644211020953600, 1134035329996800, 20666822212129681233873042865742574604800, 202734856699831069628803478452318567367623, 80884, 31912007105919444751611237826296590538690], 'label': '13436928.vv.8.CN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.B', 'old_label': '8.cn1', 'projective_image': '13436928.vv', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.CN', 'subgroup_fusion': None, 'weyl_group': None}
    • id: 138764479
      {'ambient': '13436928.vv', 'aut_centralizer_order': None, 'aut_label': '8.CO', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '32.R', 'coset_action_label': None, 'count': 4, 'diagramx': [2221, -1, 3869, -1], 'generators': [84785262589365552283661542091347597399679, 2644211020953600, 80884, 2935368367171969558782309364, 31912007105919444751611237826296590538690, 806634631152493057474836480, 296055878968489714314282801590454201600, 626251666301734257780332376781055462998, 219574, 20666822212129681233873042865742574604800, 1341127605860776343881098062346182400, 1134035329996800, 203021916253959344465170317781402384676997, 1225162128215623409897485679720170329600, 12418213438020741424858320752960609780089, 72940682324299565669467232977951700729077], 'label': '13436928.vv.8.CO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.B', 'old_label': '8.co1', 'projective_image': '13436928.vv', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.CO', 'subgroup_fusion': None, 'weyl_group': None}
    • id: 138764480
      {'ambient': '13436928.vv', 'aut_centralizer_order': None, 'aut_label': '8.CP', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '128.D', 'coset_action_label': None, 'count': 4, 'diagramx': [7416, -1, 7963, -1], 'generators': [84785262589365552283661542091347597399679, 10628652128248066080688905974504287008889, 2644211020953600, 203316878238675936581915182375917092270480, 80884, 2935368367171969558782309364, 31912007105919444751611237826296590538690, 806634631152493057474836480, 296055878968489714314282801590454201600, 275631555573296442567891909524811844164049, 219574, 2093469487138597682483622977913812448000, 20666822212129681233873042865742574604800, 203021916253959344465170317781402384676997, 33505439876207050752000598, 1134035329996800], 'label': '13436928.vv.8.CP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.BH', 'old_label': '8.cp1', 'projective_image': '13436928.vv', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.CP', 'subgroup_fusion': None, 'weyl_group': None}
    • id: 138764481
      {'ambient': '13436928.vv', 'aut_centralizer_order': None, 'aut_label': '4.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4.B', 'coset_action_label': None, 'count': 1, 'diagramx': [1850, 7885, 1831, 2700], 'generators': [84785262589365552283661542091347597399679, 2644211020953600, 80884, 203316376097328756499796399263882459156423, 72941183935141009401051250646981205497477, 158934539412996122920044275204251639186150, 63822384498267784571708471511350030676480, 296055878968489714314282801590454201600, 219574, 20666822212129681233873043664368972953600, 1341127605894281783757305113098182998, 1134035329996800, 3323173348582512223518765507, 1225162128215623409897485679720170329600, 12418213438020741424858320752960609780089, 254956847163753687271967032625089506136773, 418829649741950392738068480], 'label': '13436928.vv.4.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '4.b1', 'projective_image': '13436928.vv', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.B', 'subgroup_fusion': None, 'weyl_group': '13436928.vv'}
    • id: 138764482
      {'ambient': '13436928.vv', 'aut_centralizer_order': None, 'aut_label': '8.CQ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '128.D', 'coset_action_label': None, 'count': 4, 'diagramx': [6179, -1, 6988, -1], 'generators': [84785262589365552283661542091347597399679, 10628652128248066080688905974504287008889, 2644211020953600, 203316878238675936581915182375917092270480, 80884, 2935368367171969558782309364, 31912007105919444751611237826296590538690, 806634631152493057474836480, 296055878968489714314282801590454201600, 275631555573296442567891909524811844164049, 12130891266482442608824422939250381498489, 219574, 20666822212129681233873042865742574604800, 203021916253959344465170317781402384676997, 33505439876207050752000598, 1134035329996800], 'label': '13436928.vv.8.CQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.BH', 'old_label': '8.cq1', 'projective_image': '13436928.vv', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.CQ', 'subgroup_fusion': None, 'weyl_group': None}
    • id: 138764483
      {'ambient': '13436928.vv', 'aut_centralizer_order': None, 'aut_label': '8.CR', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '32.B', 'coset_action_label': None, 'count': 4, 'diagramx': [7706, -1, 8192, -1], 'generators': [84785262589365552283661542091347597399679, 2644211020953600, 80884, 275032948586874542693513353043162274928849, 2935368367171969558782309364, 31912007105919444751611237826296590538690, 806634631152493057474836480, 296055878968489714314282801590454201600, 219574, 1341127605894281783757305113098182998, 20666822212129681233873042865742574604800, 1134035329996800, 33505439876207050752000598, 1225162128215623409897485679720170329600, 12418213438020741424858320752960609780089, 254956847163753687271967032625089506136773], 'label': '13436928.vv.8.CR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.B', 'old_label': '8.cr1', 'projective_image': '13436928.vv', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.CR', 'subgroup_fusion': None, 'weyl_group': None}
    • id: 138764484
      {'ambient': '13436928.vv', 'aut_centralizer_order': None, 'aut_label': '8.CS', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '32.B', 'coset_action_label': None, 'count': 4, 'diagramx': [7667, -1, 8161, -1], 'generators': [84785262589365552283661542091347597399679, 2644211020953600, 80884, 2935368367171969558782309364, 31912007105919444751611237826296590538690, 806634631152493057474836480, 296055878968489714314282801590454201600, 219574, 1341127605894281783757305113098182998, 20666822212129681233873042865742574604800, 1134035329996800, 33505439876207050752000598, 1225162128215623409897485679720170329600, 12418213438020741424858320752960609780089, 254956847163753687271967032625089506136773, 73808997906061209010788922300891658201477], 'label': '13436928.vv.8.CS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.B', 'old_label': '8.cs1', 'projective_image': '13436928.vv', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.CS', 'subgroup_fusion': None, 'weyl_group': None}
    • id: 138764485
      {'ambient': '13436928.vv', 'aut_centralizer_order': None, 'aut_label': '8.CT', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '32.B', 'coset_action_label': None, 'count': 4, 'diagramx': [4896, -1, 5977, -1], 'generators': [84785262589365552283661542091347597399679, 2644211020953600, 80884, 2935368367171969558782309364, 31912007105919444751611237826296590538690, 806634631152493057474836480, 296055878968489714314282801590454201600, 219574, 2093469487138597682483622977913812448000, 1341127605894281783757305113098182998, 20666822212129681233873042865742574604800, 1134035329996800, 33505439876207050752000598, 1225162128215623409897485679720170329600, 12418213438020741424858320752960609780089, 254956847163753687271967032625089506136773], 'label': '13436928.vv.8.CT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.B', 'old_label': '8.ct1', 'projective_image': '13436928.vv', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.CT', 'subgroup_fusion': None, 'weyl_group': None}
    • id: 138764486
      {'ambient': '13436928.vv', 'aut_centralizer_order': None, 'aut_label': '8.CU', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '32.B', 'coset_action_label': None, 'count': 4, 'diagramx': [2455, -1, 4053, -1], 'generators': [84785262589365552283661542091347597399679, 2644211020953600, 80884, 2935368367171969558782309364, 31912007105919444751611237826296590538690, 806634631152493057474836480, 202734856699831069628803478452318567367623, 296055878968489714314282801590454201600, 219574, 1341127605894281783757305113098182998, 20666822212129681233873042865742574604800, 1134035329996800, 33505439876207050752000598, 1225162128215623409897485679720170329600, 12418213438020741424858320752960609780089, 254956847163753687271967032625089506136773], 'label': '13436928.vv.8.CU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.B', 'old_label': '8.cu1', 'projective_image': '13436928.vv', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.CU', 'subgroup_fusion': None, 'weyl_group': None}
    • id: 138764487
      {'ambient': '13436928.vv', 'aut_centralizer_order': None, 'aut_label': '8.CV', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '16.E', 'coset_action_label': None, 'count': 4, 'diagramx': [5699, -1, 6610, -1], 'generators': [84785262589365552283661542091347597399679, 2644211020953600, 80884, 2935368367171969558782309364, 72941183935141009401051250646981205497477, 31912007105919444751611237826296590538690, 806634631152493057474836480, 296055878968489714314282801590454201600, 219574, 1341127605894281783757305113098182998, 20666822212129681233873042865742574604800, 1134035329996800, 33505439876207050752000598, 1225162128215623409897485679720170329600, 12418213438020741424858320752960609780089, 254956847163753687271967032625089506136773], 'label': '13436928.vv.8.CV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.B', 'old_label': '8.cv1', 'projective_image': '13436928.vv', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.CV', 'subgroup_fusion': None, 'weyl_group': None}
    • id: 138764488
      {'ambient': '13436928.vv', 'aut_centralizer_order': None, 'aut_label': '8.CW', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '16.F', 'coset_action_label': None, 'count': 4, 'diagramx': [5732, -1, 6637, -1], 'generators': [84785262589365552283661542091347597399679, 2644211020953600, 80884, 2935368367171969558782309364, 31912007105919444751611237826296590538690, 806634631152493057474836480, 296055878968489714314282801590454201600, 275631555573296442567891909524811844164049, 219574, 1341127605894281783757305113098182998, 20666822212129681233873042865742574604800, 1134035329996800, 33505439876207050752000598, 1225162128215623409897485679720170329600, 12418213438020741424858320752960609780089, 254956847163753687271967032625089506136773], 'label': '13436928.vv.8.CW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.B', 'old_label': '8.cw1', 'projective_image': '13436928.vv', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.CW', 'subgroup_fusion': None, 'weyl_group': None}
    • id: 138764489
      {'ambient': '13436928.vv', 'aut_centralizer_order': None, 'aut_label': '8.CX', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '128.D', 'coset_action_label': None, 'count': 4, 'diagramx': [4931, -1, 6005, -1], 'generators': [84785262589365552283661542091347597399679, 2644211020953600, 80884, 203316376097328756499796399263882459156423, 2935368367171969558782309364, 31912007105919444751611237826296590538690, 806634631152493057474836480, 296055878968489714314282801590454201600, 219574, 2093469487138597682483622977913812448000, 1341127605894281783757305113098182998, 20666822212129681233873042865742574604800, 1134035329996800, 33505439876207050752000598, 1225162128215623409897485679720170329600, 254956847163753687271967032625089506136773], 'label': '13436928.vv.8.CX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.BK', 'old_label': '8.cx1', 'projective_image': '13436928.vv', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.CX', 'subgroup_fusion': None, 'weyl_group': None}
    • id: 138764490
      {'ambient': '13436928.vv', 'aut_centralizer_order': None, 'aut_label': '8.CY', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '128.D', 'coset_action_label': None, 'count': 4, 'diagramx': [2490, -1, 4081, -1], 'generators': [84785262589365552283661542091347597399679, 2644211020953600, 80884, 203316376097328756499796399263882459156423, 2935368367171969558782309364, 31912007105919444751611237826296590538690, 806634631152493057474836480, 296055878968489714314282801590454201600, 12130891266482442608824422939250381498489, 219574, 1341127605894281783757305113098182998, 20666822212129681233873042865742574604800, 1134035329996800, 33505439876207050752000598, 1225162128215623409897485679720170329600, 254956847163753687271967032625089506136773], 'label': '13436928.vv.8.CY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.BK', 'old_label': '8.cy1', 'projective_image': '13436928.vv', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.CY', 'subgroup_fusion': None, 'weyl_group': None}
    • id: 138764491
      {'ambient': '13436928.vv', 'aut_centralizer_order': None, 'aut_label': '8.CZ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '32.P', 'coset_action_label': None, 'count': 4, 'diagramx': [6245, -1, 7041, -1], 'generators': [84785262589365552283661542091347597399679, 2644211020953600, 203316376097328788116761779978037180436880, 80884, 2935368367171969558782309364, 72941183935141009401051250646981205497477, 31912007105919444751611237826296590538690, 806634631152493057474836480, 296055878968489714314282801590454201600, 219574, 626251666301734257780332376781055462998, 20666822212129681233873042865742574604800, 203021916253959344465170317781402384676997, 1134035329996800, 1225162128215623409897485679720170329600, 12418213438020741424858320752960609780089], 'label': '13436928.vv.8.CZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.B', 'old_label': '8.cz1', 'projective_image': '13436928.vv', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.CZ', 'subgroup_fusion': None, 'weyl_group': None}
    • id: 138764492
      {'ambient': '13436928.vv', 'aut_centralizer_order': None, 'aut_label': '4.C', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4.C', 'coset_action_label': None, 'count': 1, 'diagramx': [1814, 7528, 1802, 2622], 'generators': [84785262589365552283661542091347597399679, 2644211020953600, 80884, 203316376097328756499796399263882459156423, 72941183935141009401051250646981205497477, 63822384498267784571708471511350030676480, 296055878968489714314282801590454201600, 2093469487138597682483622977913812448000, 219574, 20666822212129681233873043664368972953600, 1341127605894281783757305113098182998, 1134035329996800, 3323173348582512223518765507, 1225162128215623409897485679720170329600, 12418213438020741424858320752960609780089, 254956847163753687271967032625089506136773, 418829649741950392738068480], 'label': '13436928.vv.4.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '4.c1', 'projective_image': '13436928.vv', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.C', 'subgroup_fusion': None, 'weyl_group': '13436928.vv'}
    • id: 138764493
      {'ambient': '13436928.vv', 'aut_centralizer_order': None, 'aut_label': '8.DA', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '32.Q', 'coset_action_label': None, 'count': 4, 'diagramx': [6212, -1, 7014, -1], 'generators': [84785262589365552283661542091347597399679, 2644211020953600, 80884, 2935368367171969558782309364, 31912007105919444751611237826296590538690, 806634631152493057474836480, 63822384498276235022630314962797642749187, 296055878968489714314282801590454201600, 275631283954367949022925755205765083274599, 219574, 2093469487138597682483622977913812448000, 20666822212129681233873042865742574604800, 1134035329996800, 1225162128215623409897485679720170329600, 12418213438020741424858320752960609780089, 203316878238675904964949801661762370990023], 'label': '13436928.vv.8.DA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.B', 'old_label': '8.da1', 'projective_image': '13436928.vv', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.DA', 'subgroup_fusion': None, 'weyl_group': None}
    • id: 138764494
      {'ambient': '13436928.vv', 'aut_centralizer_order': None, 'aut_label': '8.DB', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '32.O', 'coset_action_label': None, 'count': 4, 'diagramx': [3961, -1, 5240, -1], 'generators': [84785262589365552283661542091347597399679, 2644211020953600, 80884, 203316376097328788116761779978037180436880, 2935368367171969558782309364, 31912007105919444751611237826296590538690, 806634631152493057474836480, 296055878968489714314282801590454201600, 219574, 202101764684243690061280304273547652238480, 20666822212129681233873042865742574604800, 203021916253959344465170317781402384676997, 1134035329996800, 1225162128215623409897485679720170329600, 12418213438020741424858320752960609780089, 72940682324299565669467232977951700729077], 'label': '13436928.vv.8.DB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.B', 'old_label': '8.db1', 'projective_image': '13436928.vv', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.DB', 'subgroup_fusion': None, 'weyl_group': None}
    • id: 138764495
      {'ambient': '13436928.vv', 'aut_centralizer_order': None, 'aut_label': '8.DC', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.W', 'coset_action_label': None, 'count': 2, 'diagramx': [8160, -1, 8550, -1], 'generators': [84785262589365552283661542091347597399679, 2644211020953600, 80884, 203316376097328788116761779978037180436880, 2935368367171969558782309364, 72941183935141009401051250646981205497477, 31912007105919444751611237826296590538690, 806634631152493057474836480, 296055878968489714314282801590454201600, 219574, 2093469487138597682483622977913812448000, 20666822212129681233873042865742574604800, 203021916253959344465170317781402384676997, 1134035329996800, 1225162128215623409897485679720170329600, 12418213438020741424858320752960609780089], 'label': '13436928.vv.8.DC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.B', 'old_label': '8.dc1', 'projective_image': '13436928.vv', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.DC', 'subgroup_fusion': None, 'weyl_group': None}
    • id: 138764496
      {'ambient': '13436928.vv', 'aut_centralizer_order': None, 'aut_label': '8.DD', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.V', 'coset_action_label': None, 'count': 2, 'diagramx': [8127, -1, 8524, -1], 'generators': [1225162128215623409897485679720170329600, 12418213438020741424858320752960609780089, 806634631152493057474836480, 84785262589365552283661542091347597399679, 296055878968489714314282801590454201600, 219574, 2935368367171969558782309364, 203316878238675904964949801661762370990023, 2644211020953600, 1134035329996800, 20666822212129681233873042865742574604800, 202734856699831069628803478452318567367623, 80884, 63822384498276235022630314962797642749187, 275631283954367949022925755205765083274599, 31912007105919444751611237826296590538690], 'label': '13436928.vv.8.DD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.B', 'old_label': '8.dd1', 'projective_image': '13436928.vv', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.DD', 'subgroup_fusion': None, 'weyl_group': None}
    • id: 138764497
      {'ambient': '13436928.vv', 'aut_centralizer_order': None, 'aut_label': '8.DE', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '32.N', 'coset_action_label': None, 'count': 4, 'diagramx': [1812, -1, 3546, -1], 'generators': [84785262589365552283661542091347597399679, 2644211020953600, 80884, 203316376097328788116761779978037180436880, 2935368367171969558782309364, 31912007105919444751611237826296590538690, 806634631152493057474836480, 296055878968489714314282801590454201600, 219574, 2093469487138597682483622977913812448000, 20666822212129681233873042865742574604800, 203021916253959344465170317781402384676997, 1134035329996800, 1225162128215623409897485679720170329600, 12418213438020741424858320752960609780089, 72940682324299565669467232977951700729077], 'label': '13436928.vv.8.DE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.B', 'old_label': '8.de1', 'projective_image': '13436928.vv', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.DE', 'subgroup_fusion': None, 'weyl_group': None}
    • id: 138764498
      {'ambient': '13436928.vv', 'aut_centralizer_order': None, 'aut_label': '8.DF', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.U', 'coset_action_label': None, 'count': 2, 'diagramx': [6451, -1, 7202, -1], 'generators': [84785262589365552283661542091347597399679, 2644211020953600, 80884, 203316376097328788116761779978037180436880, 2935368367171969558782309364, 72941183935141009401051250646981205497477, 31912007105919444751611237826296590538690, 806634631152493057474836480, 296055878968489714314282801590454201600, 219574, 202101764684243690061280304273547652238480, 20666822212129681233873042865742574604800, 203021916253959344465170317781402384676997, 1134035329996800, 1225162128215623409897485679720170329600, 12418213438020741424858320752960609780089], 'label': '13436928.vv.8.DF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.B', 'old_label': '8.df1', 'projective_image': '13436928.vv', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.DF', 'subgroup_fusion': None, 'weyl_group': None}
    • id: 138764499
      {'ambient': '13436928.vv', 'aut_centralizer_order': None, 'aut_label': '8.DG', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.T', 'coset_action_label': None, 'count': 2, 'diagramx': [6418, -1, 7176, -1], 'generators': [1225162128215623409897485679720170329600, 12418213438020741424858320752960609780089, 806634631152493057474836480, 84785262589365552283661542091347597399679, 296055878968489714314282801590454201600, 219574, 83290933529833898141425865355494925565588, 2935368367171969558782309364, 203316878238675904964949801661762370990023, 2644211020953600, 1134035329996800, 20666822212129681233873042865742574604800, 80884, 63822384498276235022630314962797642749187, 275631283954367949022925755205765083274599, 31912007105919444751611237826296590538690], 'label': '13436928.vv.8.DG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.B', 'old_label': '8.dg1', 'projective_image': '13436928.vv', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.DG', 'subgroup_fusion': None, 'weyl_group': None}
    • id: 138764500
      {'ambient': '13436928.vv', 'aut_centralizer_order': None, 'aut_label': '8.DH', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '32.R', 'coset_action_label': None, 'count': 4, 'diagramx': [8622, -1, 8914, -1], 'generators': [84785262589365552283661542091347597399679, 2644211020953600, 203316376097328788116761779978037180436880, 80884, 2935368367171969558782309364, 31912007105919444751611237826296590538690, 806634631152493057474836480, 296055878968489714314282801590454201600, 626251666301734257780332376781055462998, 219574, 20666822212129681233873042865742574604800, 203021916253959344465170317781402384676997, 1134035329996800, 1225162128215623409897485679720170329600, 12418213438020741424858320752960609780089, 72940682324299565669467232977951700729077], 'label': '13436928.vv.8.DH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.B', 'old_label': '8.dh1', 'projective_image': '13436928.vv', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.DH', 'subgroup_fusion': None, 'weyl_group': None}
    • id: 138764501
      {'ambient': '13436928.vv', 'aut_centralizer_order': None, 'aut_label': '8.DI', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '32.S', 'coset_action_label': None, 'count': 4, 'diagramx': [8656, -1, 8940, -1], 'generators': [84785262589365552283661542091347597399679, 2644211020953600, 80884, 203316376097328788116761779978037180436880, 2935368367171969558782309364, 31912007105919444751611237826296590538690, 806634631152493057474836480, 202734856699831069628803478452318567367623, 296055878968489714314282801590454201600, 219574, 20666822212129681233873042865742574604800, 203021916253959344465170317781402384676997, 1134035329996800, 1225162128215623409897485679720170329600, 12418213438020741424858320752960609780089, 72940682324299565669467232977951700729077], 'label': '13436928.vv.8.DI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.B', 'old_label': '8.di1', 'projective_image': '13436928.vv', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.DI', 'subgroup_fusion': None, 'weyl_group': None}
    • id: 138764502
      {'ambient': '13436928.vv', 'aut_centralizer_order': None, 'aut_label': '8.DJ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '128.D', 'coset_action_label': None, 'count': 4, 'diagramx': [3997, -1, 5268, -1], 'generators': [84785262589365552283661542091347597399679, 10628652128248066080688905974504287008889, 2644211020953600, 203316878238675936581915182375917092270480, 80884, 2935368367171969558782309364, 31912007105919444751611237826296590538690, 806634631152493057474836480, 296055878968489714314282801590454201600, 275631555573296442567891909524811844164049, 219574, 2093469487138597682483622977913812448000, 20666822212129681233873042865742574604800, 203021916253959344465170317781402384676997, 1134035329996800, 12418213438020662705569411087449751027999], 'label': '13436928.vv.8.DJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.BH', 'old_label': '8.dj1', 'projective_image': '13436928.vv', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.DJ', 'subgroup_fusion': None, 'weyl_group': None}
    • id: 138764503
      {'ambient': '13436928.vv', 'aut_centralizer_order': None, 'aut_label': '4.D', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4.D', 'coset_action_label': None, 'count': 1, 'diagramx': [1585, 6317, 1622, 2358], 'generators': [84785262589365552283661542091347597399679, 2644211020953600, 80884, 203316376097328756499796399263882459156423, 72941183935141009401051250646981205497477, 63822384498267784571708471511350030676480, 296055878968489714314282801590454201600, 2093469487138631187923499184964564448598, 219574, 20666822212129681233873043664368972953600, 1341127605894281783757305113098182998, 1134035329996800, 3323173348582512223518765507, 1225162128215623409897485679720170329600, 12418213438020741424858320752960609780089, 254956847163753687271967032625089506136773, 418829649741950392738068480], 'label': '13436928.vv.4.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.D', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '4.d1', 'projective_image': '13436928.vv', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.D', 'subgroup_fusion': None, 'weyl_group': '13436928.vv'}
    • id: 138764504
      {'ambient': '13436928.vv', 'aut_centralizer_order': None, 'aut_label': '8.DK', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '128.D', 'coset_action_label': None, 'count': 4, 'diagramx': [1847, -1, 3574, -1], 'generators': [84785262589365552283661542091347597399679, 10628652128248066080688905974504287008889, 2644211020953600, 203316878238675936581915182375917092270480, 80884, 2935368367171969558782309364, 31912007105919444751611237826296590538690, 806634631152493057474836480, 296055878968489714314282801590454201600, 275631555573296442567891909524811844164049, 12130891266482442608824422939250381498489, 219574, 20666822212129681233873042865742574604800, 203021916253959344465170317781402384676997, 1134035329996800, 12418213438020662705569411087449751027999], 'label': '13436928.vv.8.DK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.BH', 'old_label': '8.dk1', 'projective_image': '13436928.vv', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.DK', 'subgroup_fusion': None, 'weyl_group': None}
    • id: 138764505
      {'ambient': '13436928.vv', 'aut_centralizer_order': None, 'aut_label': '8.DL', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '32.M', 'coset_action_label': None, 'count': 4, 'diagramx': [5109, -1, 6146, -1], 'generators': [72941183935140994510238518107062951417077, 84785262589365552283661542091347597399679, 2644211020953600, 80884, 2935368367171969558782309364, 31912007105919444751611237826296590538690, 806634631152493057474836480, 296055878968489714314282801590454201600, 219574, 1341127605894281783757305113098182998, 20666822212129681233873042865742574604800, 1134035329996800, 1225162128215623409897485679720170329600, 12418213438020741424858320752960609780089, 254956847163753687271967032625089506136773, 73808997906061209010788922300891658201477], 'label': '13436928.vv.8.DL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.B', 'old_label': '8.dl1', 'projective_image': '13436928.vv', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.DL', 'subgroup_fusion': None, 'weyl_group': None}
    • id: 138764506
      {'ambient': '13436928.vv', 'aut_centralizer_order': None, 'aut_label': '8.DM', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '32.L', 'coset_action_label': None, 'count': 4, 'diagramx': [5142, -1, 6172, -1], 'generators': [84785262589365552283661542091347597399679, 2644211020953600, 80884, 275032948586874542693513353043162274928849, 2935368367171969558782309364, 31912007105919444751611237826296590538690, 806634631152493057474836480, 275631555573296396706569798826286180932199, 296055878968489714314282801590454201600, 219574, 1341127605894281783757305113098182998, 20666822212129681233873042865742574604800, 1134035329996800, 1225162128215623409897485679720170329600, 12418213438020741424858320752960609780089, 254956847163753687271967032625089506136773], 'label': '13436928.vv.8.DM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.B', 'old_label': '8.dm1', 'projective_image': '13436928.vv', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.DM', 'subgroup_fusion': None, 'weyl_group': None}
    • id: 138764507
      {'ambient': '13436928.vv', 'aut_centralizer_order': None, 'aut_label': '8.DN', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '32.L', 'coset_action_label': None, 'count': 4, 'diagramx': [4316, -1, 5520, -1], 'generators': [84785262589365552283661542091347597399679, 2644211020953600, 80884, 2935368367171969558782309364, 31912007105919444751611237826296590538690, 806634631152493057474836480, 275631555573296396706569798826286180932199, 296055878968489714314282801590454201600, 219574, 1341127605894281783757305113098182998, 20666822212129681233873042865742574604800, 1134035329996800, 1225162128215623409897485679720170329600, 12418213438020741424858320752960609780089, 254956847163753687271967032625089506136773, 73808997906061209010788922300891658201477], 'label': '13436928.vv.8.DN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.B', 'old_label': '8.dn1', 'projective_image': '13436928.vv', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.DN', 'subgroup_fusion': None, 'weyl_group': None}
    • id: 138764508
      {'ambient': '13436928.vv', 'aut_centralizer_order': None, 'aut_label': '8.DO', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '32.M', 'coset_action_label': None, 'count': 4, 'diagramx': [4350, -1, 5546, -1], 'generators': [72941183935140994510238518107062951417077, 84785262589365552283661542091347597399679, 2644211020953600, 80884, 275032948586874542693513353043162274928849, 2935368367171969558782309364, 31912007105919444751611237826296590538690, 806634631152493057474836480, 296055878968489714314282801590454201600, 219574, 1341127605894281783757305113098182998, 20666822212129681233873042865742574604800, 1134035329996800, 1225162128215623409897485679720170329600, 12418213438020741424858320752960609780089, 254956847163753687271967032625089506136773], 'label': '13436928.vv.8.DO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.B', 'old_label': '8.do1', 'projective_image': '13436928.vv', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.DO', 'subgroup_fusion': None, 'weyl_group': None}
    • id: 138764509
      {'ambient': '13436928.vv', 'aut_centralizer_order': None, 'aut_label': '8.DP', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '16.W', 'coset_action_label': None, 'count': 4, 'diagramx': [5633, -1, 6558, -1], 'generators': [84785262589365552283661542091347597399679, 2644211020953600, 80884, 2935368367171969558782309364, 72941183935141009401051250646981205497477, 31912007105919444751611237826296590538690, 806634631152493057474836480, 202734856699831069628803478452318567367623, 296055878968489714314282801590454201600, 219574, 1341127605894281783757305113098182998, 20666822212129681233873042865742574604800, 1134035329996800, 1225162128215623409897485679720170329600, 12418213438020741424858320752960609780089, 254956847163753687271967032625089506136773], 'label': '13436928.vv.8.DP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.B', 'old_label': '8.dp1', 'projective_image': '13436928.vv', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.DP', 'subgroup_fusion': None, 'weyl_group': None}
    • id: 138764510
      {'ambient': '13436928.vv', 'aut_centralizer_order': None, 'aut_label': '8.DQ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '16.V', 'coset_action_label': None, 'count': 4, 'diagramx': [5666, -1, 6584, -1], 'generators': [84785262589365552283661542091347597399679, 2644211020953600, 80884, 2935368367171969558782309364, 31912007105919444751611237826296590538690, 806634631152493057474836480, 202734856699831069628803478452318567367623, 296055878968489714314282801590454201600, 275631555573296442567891909524811844164049, 219574, 1341127605894281783757305113098182998, 20666822212129681233873042865742574604800, 1134035329996800, 1225162128215623409897485679720170329600, 12418213438020741424858320752960609780089, 254956847163753687271967032625089506136773], 'label': '13436928.vv.8.DQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.B', 'old_label': '8.dq1', 'projective_image': '13436928.vv', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.DQ', 'subgroup_fusion': None, 'weyl_group': None}
    • id: 138764511
      {'ambient': '13436928.vv', 'aut_centralizer_order': None, 'aut_label': '8.DR', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '32.L', 'coset_action_label': None, 'count': 4, 'diagramx': [9985, -1, 9988, -1], 'generators': [84785262589365552283661542091347597399679, 2644211020953600, 80884, 2935368367171969558782309364, 31912007105919444751611237826296590538690, 806634631152493057474836480, 275631555573296396706569798826286180932199, 296055878968489714314282801590454201600, 2093469487138597682483622977913812448000, 219574, 1341127605894281783757305113098182998, 20666822212129681233873042865742574604800, 1134035329996800, 1225162128215623409897485679720170329600, 12418213438020741424858320752960609780089, 254956847163753687271967032625089506136773], 'label': '13436928.vv.8.DR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.B', 'old_label': '8.dr1', 'projective_image': '13436928.vv', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.DR', 'subgroup_fusion': None, 'weyl_group': None}
    • id: 138764512
      {'ambient': '13436928.vv', 'aut_centralizer_order': None, 'aut_label': '8.DS', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '32.M', 'coset_action_label': None, 'count': 4, 'diagramx': [9952, -1, 9962, -1], 'generators': [72941183935140994510238518107062951417077, 84785262589365552283661542091347597399679, 2644211020953600, 80884, 2935368367171969558782309364, 31912007105919444751611237826296590538690, 806634631152493057474836480, 296055878968489714314282801590454201600, 219574, 2093469487138597682483622977913812448000, 1341127605894281783757305113098182998, 20666822212129681233873042865742574604800, 1134035329996800, 1225162128215623409897485679720170329600, 12418213438020741424858320752960609780089, 254956847163753687271967032625089506136773], 'label': '13436928.vv.8.DS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.B', 'old_label': '8.ds1', 'projective_image': '13436928.vv', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.DS', 'subgroup_fusion': None, 'weyl_group': None}
    • id: 138764513
      {'ambient': '13436928.vv', 'aut_centralizer_order': None, 'aut_label': '8.DT', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '16.U', 'coset_action_label': None, 'count': 4, 'diagramx': [6007, -1, 6853, -1], 'generators': [84785262589365552283661542091347597399679, 2644211020953600, 80884, 2935368367171969558782309364, 31912007105919444751611237826296590538690, 806634631152493057474836480, 296055878968489714314282801590454201600, 275631555573296442567891909524811844164049, 219574, 2093469487138597682483622977913812448000, 1341127605894281783757305113098182998, 20666822212129681233873042865742574604800, 1134035329996800, 1225162128215623409897485679720170329600, 12418213438020741424858320752960609780089, 254956847163753687271967032625089506136773], 'label': '13436928.vv.8.DT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.B', 'old_label': '8.dt1', 'projective_image': '13436928.vv', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.DT', 'subgroup_fusion': None, 'weyl_group': None}
    • id: 138764514
      {'ambient': '13436928.vv', 'aut_centralizer_order': None, 'aut_label': '4.E', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4.E', 'coset_action_label': None, 'count': 1, 'diagramx': [714, 3635, 935, 1774], 'generators': [84785262589365552283661542091347597399679, 2644211020953600, 80884, 203316376097328756499796399263882459156423, 72941183935141009401051250646981205497477, 158934539412996152055116421648213769618240, 63822384498267784571708471511350030676480, 296055878968489714314282801590454201600, 219574, 20666822212129681233873043664368972953600, 1341127605894281783757305113098182998, 1134035329996800, 3323173348582512223518765507, 1225162128215623409897485679720170329600, 12418213438020741424858320752960609780089, 254956847163753687271967032625089506136773, 418829649741950392738068480], 'label': '13436928.vv.4.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.E', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '4.e1', 'projective_image': '13436928.vv', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.E', 'subgroup_fusion': None, 'weyl_group': '13436928.vv'}
    • id: 138764515
      {'ambient': '13436928.vv', 'aut_centralizer_order': None, 'aut_label': '8.DU', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '16.T', 'coset_action_label': None, 'count': 4, 'diagramx': [5973, -1, 6826, -1], 'generators': [84785262589365552283661542091347597399679, 2644211020953600, 80884, 2935368367171969558782309364, 72941183935141009401051250646981205497477, 31912007105919444751611237826296590538690, 806634631152493057474836480, 296055878968489714314282801590454201600, 2093469487138597682483622977913812448000, 219574, 1341127605894281783757305113098182998, 20666822212129681233873042865742574604800, 1134035329996800, 1225162128215623409897485679720170329600, 12418213438020741424858320752960609780089, 254956847163753687271967032625089506136773], 'label': '13436928.vv.8.DU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.B', 'old_label': '8.du1', 'projective_image': '13436928.vv', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.DU', 'subgroup_fusion': None, 'weyl_group': None}
    • id: 138764516
      {'ambient': '13436928.vv', 'aut_centralizer_order': None, 'aut_label': '8.DV', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '32.M', 'coset_action_label': None, 'count': 4, 'diagramx': [382, -1, 2420, -1], 'generators': [72941183935140994510238518107062951417077, 84785262589365552283661542091347597399679, 2644211020953600, 80884, 2935368367171969558782309364, 31912007105919444751611237826296590538690, 806634631152493057474836480, 202734856699831069628803478452318567367623, 296055878968489714314282801590454201600, 219574, 1341127605894281783757305113098182998, 20666822212129681233873042865742574604800, 1134035329996800, 1225162128215623409897485679720170329600, 12418213438020741424858320752960609780089, 254956847163753687271967032625089506136773], 'label': '13436928.vv.8.DV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.B', 'old_label': '8.dv1', 'projective_image': '13436928.vv', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.DV', 'subgroup_fusion': None, 'weyl_group': None}
    • id: 138764517
      {'ambient': '13436928.vv', 'aut_centralizer_order': None, 'aut_label': '8.DW', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '32.L', 'coset_action_label': None, 'count': 4, 'diagramx': [416, -1, 2446, -1], 'generators': [84785262589365552283661542091347597399679, 2644211020953600, 80884, 2935368367171969558782309364, 31912007105919444751611237826296590538690, 806634631152493057474836480, 275631555573296396706569798826286180932199, 202734856699831069628803478452318567367623, 296055878968489714314282801590454201600, 219574, 1341127605894281783757305113098182998, 20666822212129681233873042865742574604800, 1134035329996800, 1225162128215623409897485679720170329600, 12418213438020741424858320752960609780089, 254956847163753687271967032625089506136773], 'label': '13436928.vv.8.DW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.B', 'old_label': '8.dw1', 'projective_image': '13436928.vv', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.DW', 'subgroup_fusion': None, 'weyl_group': None}
    • id: 138764518
      {'ambient': '13436928.vv', 'aut_centralizer_order': None, 'aut_label': '8.DX', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '16.X', 'coset_action_label': None, 'count': 4, 'diagramx': [7597, -1, 8106, -1], 'generators': [84785262589365552283661542091347597399679, 2644211020953600, 80884, 2935368367171969558782309364, 72941183935141009401051250646981205497477, 31912007105919444751611237826296590538690, 806634631152493057474836480, 296055878968489714314282801590454201600, 2093469487138631187923499184964564448598, 219574, 1341127605894281783757305113098182998, 20666822212129681233873042865742574604800, 1134035329996800, 1225162128215623409897485679720170329600, 12418213438020741424858320752960609780089, 254956847163753687271967032625089506136773], 'label': '13436928.vv.8.DX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.B', 'old_label': '8.dx1', 'projective_image': '13436928.vv', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.DX', 'subgroup_fusion': None, 'weyl_group': None}
    • id: 138764519
      {'ambient': '13436928.vv', 'aut_centralizer_order': None, 'aut_label': '8.DY', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '16.Y', 'coset_action_label': None, 'count': 4, 'diagramx': [4449, -1, 5625, -1], 'generators': [84785262589365552283661542091347597399679, 2644211020953600, 202734856699831101245768859166473288648080, 80884, 2935368367171969558782309364, 72941183935141009401051250646981205497477, 31912007105919444751611237826296590538690, 806634631152493057474836480, 296055878968489714314282801590454201600, 219574, 1341127605894281783757305113098182998, 20666822212129681233873042865742574604800, 1134035329996800, 1225162128215623409897485679720170329600, 12418213438020741424858320752960609780089, 254956847163753687271967032625089506136773], 'label': '13436928.vv.8.DY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.B', 'old_label': '8.dy1', 'projective_image': '13436928.vv', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.DY', 'subgroup_fusion': None, 'weyl_group': None}
    • id: 138764520
      {'ambient': '13436928.vv', 'aut_centralizer_order': None, 'aut_label': '8.DZ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '16.Z', 'coset_action_label': None, 'count': 4, 'diagramx': [7630, -1, 8133, -1], 'generators': [84785262589365552283661542091347597399679, 2644211020953600, 80884, 2935368367171969558782309364, 31912007105919444751611237826296590538690, 806634631152493057474836480, 296055878968489714314282801590454201600, 275631555573296442567891909524811844164049, 219574, 2093469487138631187923499184964564448598, 1341127605894281783757305113098182998, 20666822212129681233873042865742574604800, 1134035329996800, 1225162128215623409897485679720170329600, 12418213438020741424858320752960609780089, 254956847163753687271967032625089506136773], 'label': '13436928.vv.8.DZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.B', 'old_label': '8.dz1', 'projective_image': '13436928.vv', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.DZ', 'subgroup_fusion': None, 'weyl_group': None}
    • id: 138764521
      {'ambient': '13436928.vv', 'aut_centralizer_order': None, 'aut_label': '8.EA', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '16.BA', 'coset_action_label': None, 'count': 4, 'diagramx': [4482, -1, 5651, -1], 'generators': [84785262589365552283661542091347597399679, 2644211020953600, 202734856699831101245768859166473288648080, 80884, 2935368367171969558782309364, 31912007105919444751611237826296590538690, 806634631152493057474836480, 296055878968489714314282801590454201600, 275631555573296442567891909524811844164049, 219574, 1341127605894281783757305113098182998, 20666822212129681233873042865742574604800, 1134035329996800, 1225162128215623409897485679720170329600, 12418213438020741424858320752960609780089, 254956847163753687271967032625089506136773], 'label': '13436928.vv.8.EA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.B', 'old_label': '8.ea1', 'projective_image': '13436928.vv', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.EA', 'subgroup_fusion': None, 'weyl_group': None}
    • id: 138764522
      {'ambient': '13436928.vv', 'aut_centralizer_order': None, 'aut_label': '8.EB', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '128.A', 'coset_action_label': None, 'count': 4, 'diagramx': [517, -1, 2525, -1], 'generators': [263839626161811521884825128323463413989393, 84785262589365552283661542091347597399679, 2644211020953600, 80884, 203316376097328756499796399263882459156423, 2935368367171969558782309364, 31912007105919444751611237826296590538690, 806634631152493057474836480, 296055878968489714314282801590454201600, 219574, 2093469487138597682483622977913812448000, 20666822212129681233873042865742574604800, 12418484526443390764831337441612004672799, 1134035329996800, 33505439876207050752000598, 1225162128215623409897485679720170329600], 'label': '13436928.vv.8.EB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.BK', 'old_label': '8.eb1', 'projective_image': '13436928.vv', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.EB', 'subgroup_fusion': None, 'weyl_group': None}
    • id: 138764523
      {'ambient': '13436928.vv', 'aut_centralizer_order': None, 'aut_label': '8.EC', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '128.A', 'coset_action_label': None, 'count': 4, 'diagramx': [703, -1, 2673, -1], 'generators': [263839626161811521884825128323463413989393, 84785262589365552283661542091347597399679, 2644211020953600, 80884, 203316376097328756499796399263882459156423, 2935368367171969558782309364, 31912007105919444751611237826296590538690, 806634631152493057474836480, 296055878968489714314282801590454201600, 12130891266482442608824422939250381498489, 219574, 20666822212129681233873042865742574604800, 12418484526443390764831337441612004672799, 1134035329996800, 33505439876207050752000598, 1225162128215623409897485679720170329600], 'label': '13436928.vv.8.EC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.BK', 'old_label': '8.ec1', 'projective_image': '13436928.vv', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.EC', 'subgroup_fusion': None, 'weyl_group': None}
    • id: 138764524
      {'ambient': '13436928.vv', 'aut_centralizer_order': None, 'aut_label': '8.ED', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.A', 'coset_action_label': None, 'count': 4, 'diagramx': [7742, -1, 8220, -1], 'generators': [84785262589365552283661542091347597399679, 2644211020953600, 203316878238675936581915182375917092270480, 80884, 2935368367171969558782309364, 31912007105919444751611237826296590538690, 806634631152493057474836480, 202449072464373961896527555297825094004423, 296055878968489714314282801590454201600, 219574, 20666822212129681233873042865742574604800, 1134035329996800, 33505439876207050752000598, 12418213438020741424858320752960609780089, 148314324448016737083486291971361194943803, 254956847163753687271967032625089506136773], 'label': '13436928.vv.8.ED', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.BJ', 'old_label': '8.ed1', 'projective_image': '13436928.vv', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.ED', 'subgroup_fusion': None, 'weyl_group': '3359232.cp'}
    • id: 138764525
      {'ambient': '13436928.vv', 'aut_centralizer_order': None, 'aut_label': '4.F', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4.F', 'coset_action_label': None, 'count': 1, 'diagramx': [752, 4018, 966, 1858], 'generators': [84785262589365552283661542091347597399679, 2644211020953600, 80884, 203316376097328756499796399263882459156423, 158621406007028569078125179269695306322150, 72941183935141009401051250646981205497477, 63822384498267784571708471511350030676480, 296055878968489714314282801590454201600, 219574, 20666822212129681233873043664368972953600, 1341127605894281783757305113098182998, 1134035329996800, 3323173348582512223518765507, 1225162128215623409897485679720170329600, 12418213438020741424858320752960609780089, 254956847163753687271967032625089506136773, 418829649741950392738068480], 'label': '13436928.vv.4.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.F', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '4.f1', 'projective_image': '13436928.vv', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.F', 'subgroup_fusion': None, 'weyl_group': '13436928.vv'}
    • id: 138764526
      {'ambient': '13436928.vv', 'aut_centralizer_order': None, 'aut_label': '8.EE', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.A', 'coset_action_label': None, 'count': 4, 'diagramx': [8692, -1, 8969, -1], 'generators': [84785262589365552283661542091347597399679, 2644211020953600, 203316878238675936581915182375917092270480, 80884, 2935368367171969558782309364, 31912007105919444751611237826296590538690, 806634631152493057474836480, 148314324448019960236600995643706589928769, 202449072464373961896527555297825094004423, 296055878968489714314282801590454201600, 219574, 20666822212129681233873042865742574604800, 1134035329996800, 33505439876207050752000598, 12418213438020741424858320752960609780089, 254956847163753687271967032625089506136773], 'label': '13436928.vv.8.EE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.BJ', 'old_label': '8.ee1', 'projective_image': '13436928.vv', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.EE', 'subgroup_fusion': None, 'weyl_group': '3359232.cp'}
    • id: 138764527
      {'ambient': '13436928.vv', 'aut_centralizer_order': None, 'aut_label': '8.EF', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '128.A', 'coset_action_label': None, 'count': 4, 'diagramx': [9919, -1, 9936, -1], 'generators': [84785262589365552283661542091347597399679, 10628652128248066080688905974504287008889, 2644211020953600, 80884, 244909738588704200464498982207773738828063, 2935368367171969558782309364, 31912007105919444751611237826296590538690, 806634631152493057474836480, 243181997375075436081361378982813899884553, 296055878968489714314282801590454201600, 275631555573296442567891909524811844164049, 12130891266482442608824422939250381498489, 219574, 20666822212129681233873042865742574604800, 1134035329996800, 33505439876207050752000598], 'label': '13436928.vv.8.EF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.BH', 'old_label': '8.ef1', 'projective_image': '13436928.vv', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.EF', 'subgroup_fusion': None, 'weyl_group': None}
    • id: 138764528
      {'ambient': '13436928.vv', 'aut_centralizer_order': None, 'aut_label': '8.EG', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '128.A', 'coset_action_label': None, 'count': 4, 'diagramx': [6744, -1, 7433, -1], 'generators': [84785262589365552283661542091347597399679, 10628652128248066080688905974504287008889, 2644211020953600, 80884, 244909738588704200464498982207773738828063, 2935368367171969558782309364, 31912007105919444751611237826296590538690, 806634631152493057474836480, 243181997375075436081361378982813899884553, 296055878968489714314282801590454201600, 275631555573296442567891909524811844164049, 219574, 2093469487138597682483622977913812448000, 20666822212129681233873042865742574604800, 1134035329996800, 33505439876207050752000598], 'label': '13436928.vv.8.EG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.BH', 'old_label': '8.eg1', 'projective_image': '13436928.vv', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.EG', 'subgroup_fusion': None, 'weyl_group': None}
    • id: 138764529
      {'ambient': '13436928.vv', 'aut_centralizer_order': None, 'aut_label': '8.EH', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.A', 'coset_action_label': None, 'count': 2, 'diagramx': [6484, -1, 7229, -1], 'generators': [84785262589365552283661542091347597399679, 2644211020953600, 203316878238675936581915182375917092270480, 80884, 2935368367171969558782309364, 31912007105919444751611237826296590538690, 806634631152493057474836480, 63822384498276235022630314962797642749187, 296055878968489714314282801590454201600, 219574, 2093469487138597682483622977913812448000, 20666822212129681233873042865742574604800, 1134035329996800, 33505439876207050752000598, 1225162128215623409897485679720170329600, 12418213438020741424858320752960609780089], 'label': '13436928.vv.8.EH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.B', 'old_label': '8.eh1', 'projective_image': '13436928.vv', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.EH', 'subgroup_fusion': None, 'weyl_group': None}
    • id: 138764530
      {'ambient': '13436928.vv', 'aut_centralizer_order': None, 'aut_label': '8.EI', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.A', 'coset_action_label': None, 'count': 2, 'diagramx': [6708, -1, 7406, -1], 'generators': [84785262589365552283661542091347597399679, 2644211020953600, 203316878238675936581915182375917092270480, 80884, 203316376097328788116761779978037180436880, 2935368367171969558782309364, 31912007105919444751611237826296590538690, 806634631152493057474836480, 63822384498276235022630314962797642749187, 296055878968489714314282801590454201600, 219574, 2093469487138597682483622977913812448000, 20666822212129681233873042865742574604800, 1134035329996800, 1225162128215623409897485679720170329600, 12418213438020741424858320752960609780089], 'label': '13436928.vv.8.EI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.B', 'old_label': '8.ei1', 'projective_image': '13436928.vv', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.EI', 'subgroup_fusion': None, 'weyl_group': None}
    • id: 138764531
      {'ambient': '13436928.vv', 'aut_centralizer_order': None, 'aut_label': '8.EJ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.A', 'coset_action_label': None, 'count': 2, 'diagramx': [9305, -1, 9452, -1], 'generators': [84785262589365552283661542091347597399679, 2644211020953600, 203316878238675936581915182375917092270480, 80884, 2935368367171969558782309364, 31912007105919444751611237826296590538690, 806634631152493057474836480, 63822384498276235022630314962797642749187, 296055878968489714314282801590454201600, 219574, 20666822212129681233873042865742574604800, 1134035329996800, 33505439876207050752000598, 1225162128215623409897485679720170329600, 12418213438020741424858320752960609780089, 73808997906061209010788922300891658201477], 'label': '13436928.vv.8.EJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.B', 'old_label': '8.ej1', 'projective_image': '13436928.vv', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.EJ', 'subgroup_fusion': None, 'weyl_group': None}
    • id: 138764532
      {'ambient': '13436928.vv', 'aut_centralizer_order': None, 'aut_label': '8.EK', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.B', 'coset_action_label': None, 'count': 2, 'diagramx': [9886, -1, 9910, -1], 'generators': [84785262589365552283661542091347597399679, 2644211020953600, 203316878238675936581915182375917092270480, 80884, 2935368367171969558782309364, 31912007105919444751611237826296590538690, 806634631152493057474836480, 296055878968489714314282801590454201600, 275631555573296442567891909524811844164049, 219574, 20666822212129681233873042865742574604800, 203021916253959344465170317781402384676997, 33505439876207050752000598, 1134035329996800, 1225162128215623409897485679720170329600, 12418213438020741424858320752960609780089], 'label': '13436928.vv.8.EK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.B', 'old_label': '8.ek1', 'projective_image': '13436928.vv', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.EK', 'subgroup_fusion': None, 'weyl_group': None}
    • id: 138764533
      {'ambient': '13436928.vv', 'aut_centralizer_order': None, 'aut_label': '8.EL', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.A', 'coset_action_label': None, 'count': 2, 'diagramx': [4556, -1, 5709, -1], 'generators': [84785262589365552283661542091347597399679, 2644211020953600, 203316878238675936581915182375917092270480, 80884, 203316376097328788116761779978037180436880, 2935368367171969558782309364, 31912007105919444751611237826296590538690, 806634631152493057474836480, 63822384498276235022630314962797642749187, 296055878968489714314282801590454201600, 219574, 20666822212129681233873042865742574604800, 1134035329996800, 1225162128215623409897485679720170329600, 12418213438020741424858320752960609780089, 73808997906061209010788922300891658201477], 'label': '13436928.vv.8.EL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.B', 'old_label': '8.el1', 'projective_image': '13436928.vv', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.EL', 'subgroup_fusion': None, 'weyl_group': None}
    • id: 138764534
      {'ambient': '13436928.vv', 'aut_centralizer_order': None, 'aut_label': '8.EM', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.C', 'coset_action_label': None, 'count': 2, 'diagramx': [2524, -1, 4108, -1], 'generators': [84785262589365552283661542091347597399679, 2644211020953600, 203316878238675936581915182375917092270480, 80884, 2935368367171969558782309364, 72941183935141009401051250646981205497477, 31912007105919444751611237826296590538690, 806634631152493057474836480, 296055878968489714314282801590454201600, 219574, 20666822212129681233873042865742574604800, 203021916253959344465170317781402384676997, 33505439876207050752000598, 1134035329996800, 1225162128215623409897485679720170329600, 12418213438020741424858320752960609780089], 'label': '13436928.vv.8.EM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.B', 'old_label': '8.em1', 'projective_image': '13436928.vv', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.EM', 'subgroup_fusion': None, 'weyl_group': None}
    • id: 138764535
      {'ambient': '13436928.vv', 'aut_centralizer_order': None, 'aut_label': '8.EN', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '128.A', 'coset_action_label': None, 'count': 4, 'diagramx': [4797, -1, 5899, -1], 'generators': [263839626161811521884825128323463413989393, 84785262589365552283661542091347597399679, 2644211020953600, 80884, 203316376097328756499796399263882459156423, 2935368367171969558782309364, 31912007105919444751611237826296590538690, 806634631152493057474836480, 296055878968489714314282801590454201600, 219574, 2093469487138597682483622977913812448000, 20666822212129681233873042865742574604800, 12418484526443390764831337441612004672799, 1134035329996800, 1225162128215623409897485679720170329600, 12418213438020662705569411087449751027999], 'label': '13436928.vv.8.EN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.BK', 'old_label': '8.en1', 'projective_image': '13436928.vv', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.EN', 'subgroup_fusion': None, 'weyl_group': None}