Formats: - HTML - YAML - JSON - 2026-07-24T09:01:31.586360
  • gps_groups • Show schema
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '2.1', 'all_subgroups_known': False, 'almost_simple': False, 'aut_abelian': None, 'aut_cyclic': None, 'aut_derived_length': None, 'aut_exponent': None, 'aut_gen_orders': None, 'aut_gens': [[329452115830086085893558845743611148358253, 319411764251134462669020185019753559953095, 201803561089795461419953015264928867991724], [180227146493143942129507982392428947286027, 170190046237527109122353684307062054241989, 297539038812873699137708973800070053079747], [329452115838622959567419715652870387910397, 319411237998607664449955899254949926846691, 201804087342322290661437386980422974637484], [116697558473566535265859323521540436579718, 52580196120574289369107944747675071718451, 84784176370073329026645856092342525013804], [307872730282674906368293317417881985497037, 319411237915880342006256070030844483921135, 223382946472363820013036959210033840773922], [31912822136692565170318484243774564809080, 148314035889224157313547883920620868670570, 297542290072115779514917449785268644712265], [319407681726042270892368117548496345797610, 329452938662458186043211804917208742978589, 64120061959233342199575907051184981483274], [329452115820940242162857699150944565318397, 319411764268818405486146776332124944273091, 201803561080648423301350516175327473470124], [329452115830086892476485964758992074869517, 319411237989460207501706212761971054526452, 201803561098331528486161303983607897773484], [329452115838623378345360558321557770412797, 319411492906605943938584920023828854637955, 201803832443470661459448571864505310416764], [329451589568412218531226527318694277071213, 319411764260281113034347618301461227985239, 201803832443471049239701966730733874797484], [340080496586365184650449715886840117318397, 329449679436164527472294639123383056273335, 201803561080648811029897565972113714878268], [319413674409602970169483502414561618054157, 340077533939916409128772557167862835630055, 201803832443471049291408554044237637271628], [329451860912941156091308979718077454965758, 319411238007144119244711238481709023124455, 201804087342321871858766217043801406637480], [329448864460943435603460959117003310276748, 340077788847914688619651890649204783038695, 191765645930985794280259659039418814061484], [74456740687502832070818109315848703165914, 84492203089430082141657218595919645940669, 319118449714978450870779026735312052940798], [329451589568413025089423319066140938367290, 319411237989460595281954984779712886718455, 201803832434324398953052272801786381930268], [340080241696050847951973822799497203791358, 329449408073952065900007078395651967406055, 191766172174976137628141421892602338349388], [319413674391919833986980886199558912664794, 340077788847915107474024539139703064365955, 191765645930985794228557936441946446974268], [319413945754741265613865345338405954063213, 340078060201590276542808908693939478455639, 191765917276124508450880622745946463312764], [329451860922088225180627531991893194869614, 329449679427627653771462617886335592913335, 212432468116894271267631903517388066541480], [329452115830086085893558845743611148358253, 329449408073952484702678248332099178823651, 201803561089795461419953015264928867991724], [329452115820940242138129682805246914732554, 340078060183907171358000675097909675857091, 191765917266977470332278123321661461687067], [170189231325797401313712931486592741801547, 180228487657400866986860207669866460570885, 308167419595983778751648882689638683838144]], 'aut_group': None, 'aut_hash': None, 'aut_nilpotency_class': None, 'aut_nilpotent': None, 'aut_order': 12397455648, 'aut_permdeg': None, 'aut_perms': None, 'aut_phi_ratio': None, 'aut_solvable': None, 'aut_stats': [[1, 1, 1, 1], [2, 729, 1, 1], [2, 236196, 1, 1], [3, 2, 1, 1], [3, 6, 1, 1], [3, 8, 1, 3], [3, 12, 1, 2], [3, 18, 3, 1], [3, 24, 1, 2], [3, 24, 9, 1], [3, 48, 1, 1], [3, 54, 3, 1], [3, 72, 1, 1], [3, 72, 2, 1], [3, 72, 3, 5], [3, 72, 6, 1], [3, 72, 9, 3], [3, 108, 3, 3], [3, 108, 9, 1], [3, 144, 1, 8], [3, 144, 2, 1], [3, 144, 3, 10], [3, 144, 6, 1], [3, 144, 9, 1], [3, 216, 1, 2], [3, 216, 2, 3], [3, 216, 3, 16], [3, 216, 6, 7], [3, 216, 9, 7], [3, 216, 18, 4], [3, 432, 1, 8], [3, 432, 2, 7], [3, 432, 3, 38], [3, 432, 6, 42], [3, 432, 9, 23], [3, 432, 18, 27], [3, 5832, 1, 1], [3, 11664, 1, 1], [3, 17496, 2, 1], [3, 17496, 3, 1], [3, 17496, 6, 1], [3, 34992, 3, 2], [3, 34992, 6, 1], [3, 314928, 1, 1], [4, 354294, 1, 1], [6, 1458, 1, 1], [6, 1458, 3, 1], [6, 4374, 1, 1], [6, 4374, 3, 1], [6, 5832, 1, 3], [6, 5832, 3, 5], [6, 5832, 9, 2], [6, 8748, 1, 2], [6, 8748, 3, 3], [6, 8748, 9, 1], [6, 17496, 1, 1], [6, 17496, 2, 3], [6, 17496, 3, 16], [6, 17496, 6, 7], [6, 17496, 9, 9], [6, 17496, 18, 4], [6, 236196, 2, 1], [6, 472392, 1, 1], [6, 472392, 2, 1], [6, 472392, 3, 1], [6, 472392, 6, 1], [6, 708588, 6, 1], [6, 1417176, 1, 3], [6, 1417176, 6, 1], [6, 4251528, 1, 1], [6, 4251528, 2, 1], [8, 3188646, 1, 2], [9, 11664, 1, 3], [9, 17496, 2, 1], [9, 17496, 6, 3], [9, 34992, 2, 2], [9, 34992, 3, 5], [9, 34992, 6, 3], [9, 52488, 2, 2], [9, 52488, 18, 3], [9, 104976, 2, 3], [9, 104976, 3, 9], [9, 104976, 6, 4], [9, 104976, 18, 3], [9, 314928, 2, 4], [9, 944784, 2, 3], [9, 944784, 6, 3], [12, 354294, 2, 1], [12, 354294, 6, 1], [12, 708588, 1, 1], [12, 708588, 2, 1], [12, 708588, 3, 1], [12, 708588, 6, 2], [12, 708588, 18, 1], [18, 472392, 6, 3], [18, 472392, 18, 3], [18, 4251528, 2, 3], [24, 3188646, 2, 2], [24, 3188646, 6, 2]], 'aut_supersolvable': None, 'aut_tex': None, 'autcent_abelian': None, 'autcent_cyclic': None, 'autcent_exponent': None, 'autcent_group': None, 'autcent_hash': None, 'autcent_nilpotent': None, 'autcent_order': None, 'autcent_solvable': None, 'autcent_split': None, 'autcent_supersolvable': None, 'autcent_tex': None, 'autcentquo_abelian': None, 'autcentquo_cyclic': None, 'autcentquo_exponent': None, 'autcentquo_group': None, 'autcentquo_hash': None, 'autcentquo_nilpotent': None, 'autcentquo_order': None, 'autcentquo_solvable': None, 'autcentquo_supersolvable': None, 'autcentquo_tex': None, 'cc_stats': [[1, 1, 1], [2, 729, 1], [2, 236196, 1], [3, 2, 1], [3, 6, 1], [3, 8, 3], [3, 12, 2], [3, 18, 3], [3, 24, 11], [3, 48, 1], [3, 54, 3], [3, 72, 51], [3, 108, 18], [3, 144, 55], [3, 216, 233], [3, 432, 1081], [3, 5832, 1], [3, 11664, 1], [3, 17496, 11], [3, 34992, 12], [3, 314928, 1], [4, 354294, 1], [6, 1458, 4], [6, 4374, 4], [6, 5832, 36], [6, 8748, 20], [6, 17496, 250], [6, 236196, 2], [6, 472392, 12], [6, 708588, 6], [6, 1417176, 9], [6, 4251528, 3], [8, 3188646, 2], [9, 11664, 3], [9, 17496, 20], [9, 34992, 37], [9, 52488, 58], [9, 104976, 111], [9, 314928, 8], [9, 944784, 24], [12, 354294, 8], [12, 708588, 36], [18, 472392, 72], [18, 4251528, 6], [24, 3188646, 16]], 'center_label': '1.1', 'center_order': 1, 'central_product': None, 'central_quotient': '229582512.bv', 'commutator_count': 1, 'commutator_label': '114791256.ba', 'complements_known': False, 'complete': False, 'complex_characters_known': False, 'composition_factors': ['2.1', '2.1', '2.1', '2.1', '3.1', '3.1', '3.1', '3.1', '3.1', '3.1', '3.1', '3.1', '3.1', '3.1', '3.1', '3.1', '3.1', '3.1', '3.1'], 'composition_length': 19, 'conjugacy_classes_known': False, 'counter': 48, 'cyclic': False, 'derived_length': 6, 'dihedral': False, 'direct_factorization': None, 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 729, 1, 1], [2, 236196, 1, 1], [3, 2, 1, 1], [3, 6, 1, 1], [3, 8, 1, 3], [3, 12, 1, 2], [3, 18, 1, 3], [3, 24, 1, 11], [3, 48, 1, 1], [3, 54, 1, 3], [3, 72, 1, 43], [3, 72, 2, 4], [3, 108, 1, 18], [3, 144, 1, 47], [3, 144, 2, 4], [3, 216, 1, 113], [3, 216, 2, 60], [3, 432, 1, 329], [3, 432, 2, 376], [3, 5832, 1, 1], [3, 11664, 1, 1], [3, 17496, 1, 11], [3, 34992, 1, 12], [3, 314928, 1, 1], [4, 354294, 1, 1], [6, 1458, 1, 4], [6, 4374, 1, 4], [6, 5832, 1, 36], [6, 8748, 1, 20], [6, 17496, 1, 130], [6, 17496, 2, 60], [6, 236196, 2, 1], [6, 472392, 1, 10], [6, 472392, 2, 1], [6, 708588, 2, 3], [6, 1417176, 1, 3], [6, 1417176, 2, 3], [6, 4251528, 1, 3], [8, 3188646, 2, 1], [9, 11664, 1, 3], [9, 17496, 1, 18], [9, 17496, 2, 1], [9, 34992, 1, 35], [9, 34992, 2, 1], [9, 52488, 1, 54], [9, 52488, 2, 2], [9, 104976, 1, 87], [9, 104976, 2, 12], [9, 314928, 1, 8], [9, 944784, 1, 24], [12, 354294, 2, 4], [12, 708588, 1, 4], [12, 708588, 2, 16], [18, 472392, 1, 72], [18, 4251528, 2, 3], [24, 3188646, 4, 4]], 'element_repr_type': 'Perm', 'elementary': 1, 'eulerian_function': None, 'exponent': 72, 'exponents_of_order': [15, 4], 'factors_of_aut_order': [2, 3], 'factors_of_order': [2, 3], 'faithful_reps': [[24, 1, 54], [48, 1, 27], [72, 0, 12], [72, 1, 90], [108, 1, 36], [144, 0, 24], [144, 1, 54], [216, 0, 156], [216, 1, 126], [432, 0, 492], [432, 1, 213]], 'familial': False, 'frattini_label': '6561.1396077', 'frattini_quotient': '34992.cb', 'hash': 8172776312124389312, 'hyperelementary': 1, 'inner_abelian': None, 'inner_cyclic': None, 'inner_exponent': None, 'inner_gen_orders': None, 'inner_gens': None, 'inner_hash': None, 'inner_nilpotent': None, 'inner_order': 229582512, 'inner_split': None, 'inner_tex': 'C_3^8.C_3^6:\\GL(2,3)', 'inner_used': None, 'irrC_degree': 24, 'irrQ_degree': 24, 'irrQ_dim': None, 'irrR_degree': None, 'irrep_stats': [[1, 2], [2, 6], [3, 2], [4, 4], [6, 9], [8, 20], [12, 8], [16, 13], [18, 9], [24, 66], [36, 9], [48, 50], [54, 27], [72, 206], [108, 72], [144, 190], [216, 466], [432, 1081]], 'label': '229582512.bv', '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.C3^6:GL(2,3)', 'ngens': 3, 'nilpotency_class': -1, 'nilpotent': False, 'normal_counts': [1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 4, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 4, 0, 0, 1, 1], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 392, 'number_characteristic_subgroups': 24, 'number_conjugacy_classes': 2240, 'number_divisions': 1676, 'number_normal_subgroups': 29, 'number_subgroup_autclasses': None, 'number_subgroup_classes': None, 'number_subgroups': None, 'old_label': None, 'order': 229582512, 'order_factorization_type': 33, 'order_stats': [[1, 1], [2, 236925], [3, 1476224], [4, 354294], [6, 40684032], [8, 6377292], [9, 41570496], [12, 28343520], [18, 59521392], [24, 51018336]], 'outer_abelian': None, 'outer_cyclic': None, 'outer_equivalence': False, 'outer_exponent': None, 'outer_gen_orders': None, 'outer_gen_pows': None, 'outer_gens': None, 'outer_group': '54.12', 'outer_hash': None, 'outer_nilpotent': None, 'outer_order': 54, 'outer_permdeg': None, 'outer_perms': None, 'outer_solvable': None, 'outer_supersolvable': None, 'outer_tex': 'S_3\\times C_3^2', 'pc_rank': None, 'perfect': False, 'permutation_degree': 36, 'pgroup': 0, 'primary_abelian_invariants': [2], 'quasisimple': False, 'rank': 3, 'rational': False, 'rational_characters_known': False, 'ratrep_stats': [[1, 2], [2, 4], [3, 2], [4, 5], [6, 3], [8, 20], [12, 5], [16, 13], [18, 9], [24, 65], [36, 9], [48, 50], [54, 9], [72, 182], [96, 1], [108, 39], [144, 170], [216, 247], [288, 16], [432, 449], [864, 376]], 'representations': {'PC': {'code': '18304798551076963901005174575470276854697809285802672952281023849112609468448902400189482500813879374123201431205644149147013305839192325257786074345391981402391417116686306283491320180272884257405660186046020860113902608723690886899537601944348368754463406286596347578217826934563438540352859297233053890774361212009321087913008763209424203824804651789538118213481157199302915453028746633367217623694612542834136224411780442149321982304320452603416963088670898416165045675686218526222704677112637999568853859041397126440449491461116136812308512756184959635495507384577633003089885875541487315186543096123338225198669762290413673808027174045374108083200328291079203230339462816592534129475033261206566219906677913425045696656837772929032256233645685999403124596720717123014409774725014180040570695514996451130821866122396533185728144435110972646666379736897239333769430124378066923682587620638361736147406569517067449048998175456888860011079392485894142691749563957562557809671204609468441217238720440086794024884589192843999636825744044827218492976473491889162250317992246179950790296542552063', 'gens': [1, 2, 3, 5, 8, 9, 10, 11, 12, 14, 15, 16, 17, 18, 19], 'pres': [19, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 1035833526, 8462637621, 3895570172, 2669776832, 5897343027, 154, 9208179459, 1505008414, 431348244, 12532034254, 5184363488, 9383952, 1454403226, 270, 13819358165, 8118816000, 3716072179, 1485295802, 328, 24460340694, 9196895761, 4498294124, 185124891, 33281601415, 2702927258, 2806928109, 2292702400, 885045011, 91356966, 165904777, 29063485592, 19307173635, 1397793718, 951280589, 300070200, 290408377, 222143999, 58225641, 734263, 31613741289, 1641628, 7118196527, 2781574986, 720619165, 563569364, 219128073, 1628062, 13222451, 10660320, 2569415914, 1339557941, 1393595328, 2073734851, 1048311482, 348365067, 57699818, 34452558, 6512830, 33950717579, 16926767454, 5885973265, 2573643092, 894237063, 123147466, 105784829, 15211620, 26567407, 12543374, 2331957, 904, 1374240828, 868623943, 4943809778, 48256972, 54593771917, 2291287856, 3603180723, 125656342, 1436601185, 15513228, 1508385, 337738, 1974598574, 493649673, 10381601572, 969847110, 5811657999, 31052833954, 3990270005, 15956424, 500950747, 28366958, 320279, 656826, 29906192752, 27820897019, 4340127798, 5543835121, 1452360548, 915495807, 166004384, 25430604, 18366613, 959535, 41402744369, 20378256084, 952062391, 1454022650, 1504107885, 280732180, 114437112, 44766601, 13112468, 1579240, 27365365314, 23289403861, 5704802192, 1335845919, 2284423978, 235799537, 164217607, 17837180, 18909369, 633782]}, 'Perm': {'d': 36, 'gens': [201803561089795461419953015264928867991724, 319411764251134462669020185019753559953095, 329452115830086085893558845743611148358253]}}, 'schur_multiplier': [3], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2], 'solvability_type': 17, 'solvable': True, 'subgroup_inclusions_known': False, 'subgroup_index_bound': 81, 'supersolvable': False, 'sylow_subgroups_known': False, 'tex_name': 'C_3^8.C_3^6:\\GL(2,3)', 'transitive_degree': 36, 'wreath_data': None, 'wreath_product': False}
  • ['group_order', 'group_counter'] [229582512, 48] does not appear in gps_conj_classes
  • group 229582512.bv does not appear in gps_qchar
  • group 229582512.bv does not appear in gps_char
  • gps_subgroup_search • Show schema
    Showing the first 100 of 612 matching records in this table.
    • id: 169666951
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '229582512.bv', 'ambient_counter': 48, 'ambient_order': 229582512, 'ambient_tex': 'C_3^8.C_3^6:\\GL(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 229582512, 'counter': 1, 'cyclic': False, 'direct': None, 'hall': 6, 'label': '229582512.bv.1.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1.A', 'outer_equivalence': False, 'perfect': False, 'proper': False, 'quotient': '1.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, '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': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '229582512.bv', 'subgroup_hash': None, 'subgroup_order': 229582512, 'subgroup_tex': 'C_3^8.C_3^6:\\GL(2,3)', 'supersolvable': False, 'sylow': 0}
    • id: 169667062
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '229582512.bv', 'ambient_counter': 48, 'ambient_order': 229582512, 'ambient_tex': 'C_3^8.C_3^6:\\GL(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 114791256, 'counter': 2, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '229582512.bv.2.a1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, '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': '114791256.ba', 'subgroup_hash': None, 'subgroup_order': 114791256, 'subgroup_tex': 'C_3^8.C_3^6:\\SL(2,3)', 'supersolvable': False, 'sylow': 0}
    • id: 169667173
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '229582512.bv', 'ambient_counter': 48, 'ambient_order': 229582512, 'ambient_tex': 'C_3^8.C_3^6:\\GL(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 38263752, 'counter': 3, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '229582512.bv.3._.A', 'maximal': True, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3.A', 'outer_equivalence': False, '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': 3, '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': '76527504.ev', 'subgroup_hash': None, 'subgroup_order': 76527504, 'subgroup_tex': 'C_3^8.C_3^5:\\GL(2,3)', 'supersolvable': False, 'sylow': 0}
    • id: 169667284
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '229582512.bv', 'ambient_counter': 48, 'ambient_order': 229582512, 'ambient_tex': 'C_3^8.C_3^6:\\GL(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 38263752, 'counter': 4, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '229582512.bv.3._.B', 'maximal': True, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3.B', 'outer_equivalence': False, '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': 3, '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': '76527504.ew', 'subgroup_hash': None, 'subgroup_order': 76527504, 'subgroup_tex': 'C_3^8.C_3^5:\\GL(2,3)', 'supersolvable': False, 'sylow': 0}
    • id: 169667395
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '229582512.bv', 'ambient_counter': 48, 'ambient_order': 229582512, 'ambient_tex': 'C_3^8.C_3^6:\\GL(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 38263752, 'counter': 5, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '229582512.bv.3._.C', 'maximal': True, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3.C', 'outer_equivalence': False, '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': 3, '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': '76527504.dy', 'subgroup_hash': None, 'subgroup_order': 76527504, 'subgroup_tex': 'C_3^{11}.F_9.S_3', 'supersolvable': False, 'sylow': 0}
    • id: 169667506
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '229582512.bv', 'ambient_counter': 48, 'ambient_order': 229582512, 'ambient_tex': 'C_3^8.C_3^6:\\GL(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 38263752, 'counter': 6, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '229582512.bv.3._.D', 'maximal': True, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3.D', 'outer_equivalence': False, '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': 3, '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': '76527504.ew', 'subgroup_hash': None, 'subgroup_order': 76527504, 'subgroup_tex': 'C_3^8.C_3^5:\\GL(2,3)', 'supersolvable': False, 'sylow': 0}
    • id: 169667530
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '229582512.bv', 'ambient_counter': 48, 'ambient_order': 229582512, 'ambient_tex': 'C_3^8.C_3^6:\\GL(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 9565938, 'counter': 7, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '229582512.bv.4.a1.a1', 'maximal': True, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.A', 'outer_equivalence': False, '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': None, 'subgroup_order': 57395628, 'subgroup_tex': 'C_3^{10}.C_3^4.D_6', 'supersolvable': True, 'sylow': 0}
    • id: 169667541
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '229582512.bv', 'ambient_counter': 48, 'ambient_order': 229582512, 'ambient_tex': 'C_3^8.C_3^6:\\GL(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 38263752, 'counter': 8, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '229582512.bv.6._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '6.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '6.1', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 6, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'S_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '38263752.dc', 'subgroup_hash': None, 'subgroup_order': 38263752, 'subgroup_tex': 'C_3^8.C_3^5:\\SL(2,3)', 'supersolvable': False, 'sylow': 0}
    • id: 169667552
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '229582512.bv', 'ambient_counter': 48, 'ambient_order': 229582512, 'ambient_tex': 'C_3^8.C_3^6:\\GL(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 38263752, 'counter': 9, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '229582512.bv.6._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '6.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '6.1', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 6, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'S_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '38263752.dd', 'subgroup_hash': None, 'subgroup_order': 38263752, 'subgroup_tex': 'C_3^8.C_3^5:\\SL(2,3)', 'supersolvable': False, 'sylow': 0}
    • id: 169666952
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '229582512.bv', 'ambient_counter': 48, 'ambient_order': 229582512, 'ambient_tex': 'C_3^8.C_3^6:\\GL(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 38263752, 'counter': 10, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '229582512.bv.6._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '6.C', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '6.1', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 6, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'S_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '38263752.bt', 'subgroup_hash': None, 'subgroup_order': 38263752, 'subgroup_tex': 'C_3^8.C_3^6:Q_8', 'supersolvable': False, 'sylow': 0}
    • id: 169666963
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '229582512.bv', 'ambient_counter': 48, 'ambient_order': 229582512, 'ambient_tex': 'C_3^8.C_3^6:\\GL(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 38263752, 'counter': 11, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '229582512.bv.6._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '6.D', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '6.1', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 6, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'S_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '38263752.dd', 'subgroup_hash': None, 'subgroup_order': 38263752, 'subgroup_tex': 'C_3^8.C_3^5:\\SL(2,3)', 'supersolvable': False, 'sylow': 0}
    • id: 169666974
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '229582512.bv', 'ambient_counter': 48, 'ambient_order': 229582512, 'ambient_tex': 'C_3^8.C_3^6:\\GL(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 9565938, 'counter': 12, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '229582512.bv.6._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6.E', 'outer_equivalence': False, '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': 6, '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': None, 'subgroup_order': 38263752, 'subgroup_tex': 'C_3^8.C_3^5.D_6.C_2', 'supersolvable': False, 'sylow': 0}
    • id: 169666985
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '229582512.bv', 'ambient_counter': 48, 'ambient_order': 229582512, 'ambient_tex': 'C_3^8.C_3^6:\\GL(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 9565938, 'counter': 13, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '229582512.bv.6._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6.F', 'outer_equivalence': False, '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': 6, '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': '38263752.bq', 'subgroup_hash': None, 'subgroup_order': 38263752, 'subgroup_tex': 'C_3^8.C_3^5:C_{24}', 'supersolvable': False, 'sylow': 0}
    • id: 169666996
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '229582512.bv', 'ambient_counter': 48, 'ambient_order': 229582512, 'ambient_tex': 'C_3^8.C_3^6:\\GL(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 9565938, 'counter': 14, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '229582512.bv.8._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.A', 'outer_equivalence': False, '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': 8, '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': None, 'subgroup_order': 28697814, 'subgroup_tex': 'C_3^9.C_3^5.C_6', 'supersolvable': True, 'sylow': 0}
    • id: 169667007
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '229582512.bv', 'ambient_counter': 48, 'ambient_order': 229582512, 'ambient_tex': 'C_3^8.C_3^6:\\GL(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4782969, 'counter': 15, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '229582512.bv.8._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.B', 'outer_equivalence': False, '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': 8, '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': None, 'subgroup_order': 28697814, 'subgroup_tex': 'C_3^9.C_3^5.S_3', 'supersolvable': True, 'sylow': 0}
    • id: 169667018
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '229582512.bv', 'ambient_counter': 48, 'ambient_order': 229582512, 'ambient_tex': 'C_3^8.C_3^6:\\GL(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4782969, 'counter': 16, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '229582512.bv.8._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.C', 'outer_equivalence': False, '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': 8, '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': None, 'subgroup_order': 28697814, 'subgroup_tex': 'C_3^8.C_3^5.C_3.C_6', 'supersolvable': True, 'sylow': 0}
    • id: 169667029
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '229582512.bv', 'ambient_counter': 48, 'ambient_order': 229582512, 'ambient_tex': 'C_3^8.C_3^6:\\GL(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 12754584, 'counter': 17, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '229582512.bv.9._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '9.A', 'outer_equivalence': False, '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': 9, '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': '25509168.gh', 'subgroup_hash': None, 'subgroup_order': 25509168, 'subgroup_tex': 'C_3^{10}.F_9:S_3', 'supersolvable': False, 'sylow': 0}
    • id: 169667040
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '229582512.bv', 'ambient_counter': 48, 'ambient_order': 229582512, 'ambient_tex': 'C_3^8.C_3^6:\\GL(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 354294, 'counter': 18, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '229582512.bv.9._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '9.B', 'outer_equivalence': False, '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': 9, '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': '25509168.gg', 'subgroup_hash': None, 'subgroup_order': 25509168, 'subgroup_tex': 'C_3^8.C_3^5:\\SD_{16}', 'supersolvable': False, 'sylow': 0}
    • id: 169667051
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '229582512.bv', 'ambient_counter': 48, 'ambient_order': 229582512, 'ambient_tex': 'C_3^8.C_3^6:\\GL(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 531441, 'counter': 19, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '229582512.bv.9._.C', 'maximal': True, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '9.C', 'outer_equivalence': False, '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': 9, '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': None, 'subgroup_order': 25509168, 'subgroup_tex': 'C_3^{10}.Q_8.C_3^3.C_2', 'supersolvable': False, 'sylow': 0}
    • id: 169667063
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '229582512.bv', 'ambient_counter': 48, 'ambient_order': 229582512, 'ambient_tex': 'C_3^8.C_3^6:\\GL(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 9565938, 'counter': 20, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '229582512.bv.12._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.A', 'outer_equivalence': False, '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': 12, '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': None, 'subgroup_order': 19131876, 'subgroup_tex': 'C_3^9.C_3^5.C_4', 'supersolvable': False, 'sylow': 0}
    • id: 169667074
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '229582512.bv', 'ambient_counter': 48, 'ambient_order': 229582512, 'ambient_tex': 'C_3^8.C_3^6:\\GL(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 9565938, 'counter': 21, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '229582512.bv.12._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.B', 'outer_equivalence': False, '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': 12, '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': None, 'subgroup_order': 19131876, 'subgroup_tex': 'C_3^8.C_3^5.C_6.C_2', 'supersolvable': True, 'sylow': 0}
    • id: 169667085
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '229582512.bv', 'ambient_counter': 48, 'ambient_order': 229582512, 'ambient_tex': 'C_3^8.C_3^6:\\GL(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 531441, 'counter': 22, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '229582512.bv.12._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.C', 'outer_equivalence': False, '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': 12, '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': None, 'subgroup_order': 19131876, 'subgroup_tex': 'C_3^8.C_3^5.D_6', 'supersolvable': True, 'sylow': 0}
    • id: 169667096
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '229582512.bv', 'ambient_counter': 48, 'ambient_order': 229582512, 'ambient_tex': 'C_3^8.C_3^6:\\GL(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3188646, 'counter': 23, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '229582512.bv.12._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.D', 'outer_equivalence': False, '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': 12, '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': None, 'subgroup_order': 19131876, 'subgroup_tex': 'C_3^9.C_3^4.D_6', 'supersolvable': True, 'sylow': 0}
    • id: 169667107
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '229582512.bv', 'ambient_counter': 48, 'ambient_order': 229582512, 'ambient_tex': 'C_3^8.C_3^6:\\GL(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3188646, 'counter': 24, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '229582512.bv.12._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.E', 'outer_equivalence': False, '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': 12, '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': None, 'subgroup_order': 19131876, 'subgroup_tex': 'C_3^6.C_3^5.C_3^2.D_6', 'supersolvable': True, 'sylow': 0}
    • id: 169667118
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '229582512.bv', 'ambient_counter': 48, 'ambient_order': 229582512, 'ambient_tex': 'C_3^8.C_3^6:\\GL(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 354294, 'counter': 25, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '229582512.bv.12._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.F', 'outer_equivalence': False, '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': 12, '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': None, 'subgroup_order': 19131876, 'subgroup_tex': 'C_3^8.C_3^4.(C_6\\times S_3)', 'supersolvable': True, 'sylow': 0}
    • id: 169667129
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '229582512.bv', 'ambient_counter': 48, 'ambient_order': 229582512, 'ambient_tex': 'C_3^8.C_3^6:\\GL(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 118098, 'counter': 26, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '229582512.bv.12._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.G', 'outer_equivalence': False, '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': 12, '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': None, 'subgroup_order': 19131876, 'subgroup_tex': 'C_3^8.C_3^4.S_3^2', 'supersolvable': True, 'sylow': 0}
    • id: 169667140
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '229582512.bv', 'ambient_counter': 48, 'ambient_order': 229582512, 'ambient_tex': 'C_3^8.C_3^6:\\GL(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 118098, 'counter': 27, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '229582512.bv.12._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.H', 'outer_equivalence': False, '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': 12, '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': None, 'subgroup_order': 19131876, 'subgroup_tex': 'C_3^6.C_3^5.C_3^2.D_6', 'supersolvable': True, 'sylow': 0}
    • id: 169667151
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '229582512.bv', 'ambient_counter': 48, 'ambient_order': 229582512, 'ambient_tex': 'C_3^8.C_3^6:\\GL(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 118098, 'counter': 28, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '229582512.bv.12._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.I', 'outer_equivalence': False, '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': 12, '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': None, 'subgroup_order': 19131876, 'subgroup_tex': 'C_3^9.C_3^3.S_3^2', 'supersolvable': True, 'sylow': 0}
    • id: 169667162
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '229582512.bv', 'ambient_counter': 48, 'ambient_order': 229582512, 'ambient_tex': 'C_3^8.C_3^6:\\GL(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 354294, 'counter': 29, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '229582512.bv.12._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.J', 'outer_equivalence': False, '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': 12, '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': None, 'subgroup_order': 19131876, 'subgroup_tex': 'C_3^7.C_3^5.(C_6\\times S_3)', 'supersolvable': True, 'sylow': 0}
    • id: 169667174
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '229582512.bv', 'ambient_counter': 48, 'ambient_order': 229582512, 'ambient_tex': 'C_3^8.C_3^6:\\GL(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 118098, 'counter': 30, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '229582512.bv.12._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.K', 'outer_equivalence': False, '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': 12, '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': None, 'subgroup_order': 19131876, 'subgroup_tex': 'C_3^{10}.C_3^3.D_6', 'supersolvable': True, 'sylow': 0}
    • id: 169667185
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '229582512.bv', 'ambient_counter': 48, 'ambient_order': 229582512, 'ambient_tex': 'C_3^8.C_3^6:\\GL(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 118098, 'counter': 31, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '229582512.bv.12._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.L', 'outer_equivalence': False, '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': 12, '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': None, 'subgroup_order': 19131876, 'subgroup_tex': 'C_3^7.C_3^5.S_3^2', 'supersolvable': True, 'sylow': 0}
    • id: 169667196
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '229582512.bv', 'ambient_counter': 48, 'ambient_order': 229582512, 'ambient_tex': 'C_3^8.C_3^6:\\GL(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 118098, 'counter': 32, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '229582512.bv.12._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.M', 'outer_equivalence': False, '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': 12, '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': None, 'subgroup_order': 19131876, 'subgroup_tex': 'C_3^9.C_3^4.D_6', 'supersolvable': True, 'sylow': 0}
    • id: 169667207
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '229582512.bv', 'ambient_counter': 48, 'ambient_order': 229582512, 'ambient_tex': 'C_3^8.C_3^6:\\GL(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 354294, 'counter': 33, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '229582512.bv.12._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.N', 'outer_equivalence': False, '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': 12, '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': None, 'subgroup_order': 19131876, 'subgroup_tex': 'C_3^8.C_3^3.C_3^3.C_2^2', 'supersolvable': True, 'sylow': 0}
    • id: 169667218
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '229582512.bv', 'ambient_counter': 48, 'ambient_order': 229582512, 'ambient_tex': 'C_3^8.C_3^6:\\GL(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3188646, 'counter': 34, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '229582512.bv.12._.O', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.O', 'outer_equivalence': False, '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': 12, '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': None, 'subgroup_order': 19131876, 'subgroup_tex': 'C_3^7.C_3^3.\\He_3.D_6', 'supersolvable': True, 'sylow': 0}
    • id: 169667229
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '229582512.bv', 'ambient_counter': 48, 'ambient_order': 229582512, 'ambient_tex': 'C_3^8.C_3^6:\\GL(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4782969, 'counter': 35, 'cyclic': False, 'direct': None, 'hall': 3, 'label': '229582512.bv.16.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.A', 'outer_equivalence': False, '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': 16, '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': None, 'subgroup_order': 14348907, 'subgroup_tex': 'C_3^9.C_3^5.C_3', 'supersolvable': True, 'sylow': 3}
    • id: 169667240
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '229582512.bv', 'ambient_counter': 48, 'ambient_order': 229582512, 'ambient_tex': 'C_3^8.C_3^6:\\GL(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 12754584, 'counter': 36, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '229582512.bv.18._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '18.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '18.4', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 18, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3:S_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12754584.es', 'subgroup_hash': None, 'subgroup_order': 12754584, 'subgroup_tex': 'C_3^8.C_3^5:Q_8', 'supersolvable': False, 'sylow': 0}
    • id: 169667251
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '229582512.bv', 'ambient_counter': 48, 'ambient_order': 229582512, 'ambient_tex': 'C_3^8.C_3^6:\\GL(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 354294, 'counter': 37, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '229582512.bv.18._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.B', 'outer_equivalence': False, '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': 18, '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': '12754584.eq', 'subgroup_hash': None, 'subgroup_order': 12754584, 'subgroup_tex': 'C_3^{11}.F_9', 'supersolvable': False, 'sylow': 0}
    • id: 169667262
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '229582512.bv', 'ambient_counter': 48, 'ambient_order': 229582512, 'ambient_tex': 'C_3^8.C_3^6:\\GL(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 531441, 'counter': 38, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '229582512.bv.18._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.C', 'outer_equivalence': False, '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': 18, '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': None, 'subgroup_order': 12754584, 'subgroup_tex': 'C_3^{10}.Q_8.C_3^3', 'supersolvable': False, 'sylow': 0}
    • id: 169667273
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '229582512.bv', 'ambient_counter': 48, 'ambient_order': 229582512, 'ambient_tex': 'C_3^8.C_3^6:\\GL(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3188646, 'counter': 39, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '229582512.bv.18._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.D', 'outer_equivalence': False, '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': 18, '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': None, 'subgroup_order': 12754584, 'subgroup_tex': 'C_3^8.C_3^5.D_4', 'supersolvable': False, 'sylow': 0}
    • id: 169667285
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '229582512.bv', 'ambient_counter': 48, 'ambient_order': 229582512, 'ambient_tex': 'C_3^8.C_3^6:\\GL(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3188646, 'counter': 40, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '229582512.bv.18._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.E', 'outer_equivalence': False, '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': 18, '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': '12754584.er', 'subgroup_hash': None, 'subgroup_order': 12754584, 'subgroup_tex': 'C_3^8.C_3^4:C_{24}', 'supersolvable': False, 'sylow': 0}
    • id: 169667296
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '229582512.bv', 'ambient_counter': 48, 'ambient_order': 229582512, 'ambient_tex': 'C_3^8.C_3^6:\\GL(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 354294, 'counter': 41, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '229582512.bv.18._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.F', 'outer_equivalence': False, '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': 18, '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': None, 'subgroup_order': 12754584, 'subgroup_tex': 'C_3^8.C_3^5.D_4', 'supersolvable': False, 'sylow': 0}
    • id: 169667307
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '229582512.bv', 'ambient_counter': 48, 'ambient_order': 229582512, 'ambient_tex': 'C_3^8.C_3^6:\\GL(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 354294, 'counter': 42, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '229582512.bv.18._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.G', 'outer_equivalence': False, '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': 18, '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': '12754584.et', 'subgroup_hash': None, 'subgroup_order': 12754584, 'subgroup_tex': 'C_3^8.C_3^5:Q_8', 'supersolvable': False, 'sylow': 0}
    • id: 169667318
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '229582512.bv', 'ambient_counter': 48, 'ambient_order': 229582512, 'ambient_tex': 'C_3^8.C_3^6:\\GL(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 354294, 'counter': 43, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '229582512.bv.18._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.H', 'outer_equivalence': False, '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': 18, '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': None, 'subgroup_order': 12754584, 'subgroup_tex': 'C_3^8.C_3^5.D_4', 'supersolvable': False, 'sylow': 0}
    • id: 169667329
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '229582512.bv', 'ambient_counter': 48, 'ambient_order': 229582512, 'ambient_tex': 'C_3^8.C_3^6:\\GL(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 118098, 'counter': 44, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '229582512.bv.18._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.I', 'outer_equivalence': False, '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': 18, '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': None, 'subgroup_order': 12754584, 'subgroup_tex': 'C_3^8.C_3^5.D_4', 'supersolvable': False, 'sylow': 0}
    • id: 169667340
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '229582512.bv', 'ambient_counter': 48, 'ambient_order': 229582512, 'ambient_tex': 'C_3^8.C_3^6:\\GL(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 9565938, 'counter': 45, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '229582512.bv.24._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '24.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '24.12', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'S_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 9565938, 'subgroup_tex': 'C_3^8.C_3^5.C_6', 'supersolvable': True, 'sylow': 0}
    • id: 169667351
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '229582512.bv', 'ambient_counter': 48, 'ambient_order': 229582512, 'ambient_tex': 'C_3^8.C_3^6:\\GL(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 531441, 'counter': 46, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '229582512.bv.24._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.B', 'outer_equivalence': False, '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': 24, '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': None, 'subgroup_order': 9565938, 'subgroup_tex': 'C_3^9.C_3^5.C_2', 'supersolvable': True, 'sylow': 0}
    • id: 169667362
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '229582512.bv', 'ambient_counter': 48, 'ambient_order': 229582512, 'ambient_tex': 'C_3^8.C_3^6:\\GL(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3188646, 'counter': 47, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '229582512.bv.24._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.C', 'outer_equivalence': False, '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': 24, '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': None, 'subgroup_order': 9565938, 'subgroup_tex': 'C_3^8.C_3^5.C_6', 'supersolvable': True, 'sylow': 0}
    • id: 169667373
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '229582512.bv', 'ambient_counter': 48, 'ambient_order': 229582512, 'ambient_tex': 'C_3^8.C_3^6:\\GL(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3188646, 'counter': 48, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '229582512.bv.24._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.D', 'outer_equivalence': False, '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': 24, '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': None, 'subgroup_order': 9565938, 'subgroup_tex': 'C_3^7.C_3^5.C_3.C_6', 'supersolvable': True, 'sylow': 0}
    • id: 169667384
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '229582512.bv', 'ambient_counter': 48, 'ambient_order': 229582512, 'ambient_tex': 'C_3^8.C_3^6:\\GL(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 354294, 'counter': 49, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '229582512.bv.24._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.E', 'outer_equivalence': False, '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': 24, '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': None, 'subgroup_order': 9565938, 'subgroup_tex': 'C_3^8.C_3^3.C_3^3.C_2', 'supersolvable': True, 'sylow': 0}
    • id: 169667396
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '229582512.bv', 'ambient_counter': 48, 'ambient_order': 229582512, 'ambient_tex': 'C_3^8.C_3^6:\\GL(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 118098, 'counter': 50, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '229582512.bv.24._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.F', 'outer_equivalence': False, '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': 24, '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': None, 'subgroup_order': 9565938, 'subgroup_tex': 'C_3^9.C_3^4.C_6', 'supersolvable': True, 'sylow': 0}
    • id: 169667407
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '229582512.bv', 'ambient_counter': 48, 'ambient_order': 229582512, 'ambient_tex': 'C_3^8.C_3^6:\\GL(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 118098, 'counter': 51, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '229582512.bv.24._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.G', 'outer_equivalence': False, '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': 24, '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': None, 'subgroup_order': 9565938, 'subgroup_tex': 'C_3^9.C_3^4.C_6', 'supersolvable': True, 'sylow': 0}
    • id: 169667418
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '229582512.bv', 'ambient_counter': 48, 'ambient_order': 229582512, 'ambient_tex': 'C_3^8.C_3^6:\\GL(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 118098, 'counter': 52, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '229582512.bv.24._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.H', 'outer_equivalence': False, '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': 24, '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': None, 'subgroup_order': 9565938, 'subgroup_tex': 'C_3^8.C_3^5.C_6', 'supersolvable': True, 'sylow': 0}
    • id: 169667429
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '229582512.bv', 'ambient_counter': 48, 'ambient_order': 229582512, 'ambient_tex': 'C_3^8.C_3^6:\\GL(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 354294, 'counter': 53, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '229582512.bv.24._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.I', 'outer_equivalence': False, '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': 24, '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': None, 'subgroup_order': 9565938, 'subgroup_tex': 'C_3^8.C_3^3.C_3^3.C_2', 'supersolvable': True, 'sylow': 0}
    • id: 169667440
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '229582512.bv', 'ambient_counter': 48, 'ambient_order': 229582512, 'ambient_tex': 'C_3^8.C_3^6:\\GL(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 118098, 'counter': 54, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '229582512.bv.24._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.J', 'outer_equivalence': False, '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': 24, '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': None, 'subgroup_order': 9565938, 'subgroup_tex': 'C_3^9.C_3^4.C_6', 'supersolvable': True, 'sylow': 0}
    • id: 169667451
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '229582512.bv', 'ambient_counter': 48, 'ambient_order': 229582512, 'ambient_tex': 'C_3^8.C_3^6:\\GL(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 118098, 'counter': 55, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '229582512.bv.24._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.K', 'outer_equivalence': False, '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': 24, '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': None, 'subgroup_order': 9565938, 'subgroup_tex': 'C_3^9.C_3.\\He_3.C_6', 'supersolvable': True, 'sylow': 0}
    • id: 169667462
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '229582512.bv', 'ambient_counter': 48, 'ambient_order': 229582512, 'ambient_tex': 'C_3^8.C_3^6:\\GL(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 118098, 'counter': 56, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '229582512.bv.24._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.L', 'outer_equivalence': False, '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': 24, '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': None, 'subgroup_order': 9565938, 'subgroup_tex': 'C_3^9.C_3^4.C_6', 'supersolvable': True, 'sylow': 0}
    • id: 169667473
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '229582512.bv', 'ambient_counter': 48, 'ambient_order': 229582512, 'ambient_tex': 'C_3^8.C_3^6:\\GL(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 354294, 'counter': 57, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '229582512.bv.24._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.M', 'outer_equivalence': False, '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': 24, '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': None, 'subgroup_order': 9565938, 'subgroup_tex': 'C_3^7.C_3^4.C_3^3.C_2', 'supersolvable': True, 'sylow': 0}
    • id: 169667484
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '229582512.bv', 'ambient_counter': 48, 'ambient_order': 229582512, 'ambient_tex': 'C_3^8.C_3^6:\\GL(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3188646, 'counter': 58, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '229582512.bv.24._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.N', 'outer_equivalence': False, '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': 24, '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': None, 'subgroup_order': 9565938, 'subgroup_tex': 'C_3^7.C_3^5.C_3.C_6', 'supersolvable': True, 'sylow': 0}
    • id: 169667495
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '229582512.bv', 'ambient_counter': 48, 'ambient_order': 229582512, 'ambient_tex': 'C_3^8.C_3^6:\\GL(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4782969, 'counter': 59, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '229582512.bv.24._.O', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.O', 'outer_equivalence': False, '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': 24, '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': None, 'subgroup_order': 9565938, 'subgroup_tex': 'C_3^9.C_3^4.C_6', 'supersolvable': True, 'sylow': 0}
    • id: 169667507
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '229582512.bv', 'ambient_counter': 48, 'ambient_order': 229582512, 'ambient_tex': 'C_3^8.C_3^6:\\GL(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1594323, 'counter': 60, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '229582512.bv.24._.P', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.P', 'outer_equivalence': False, '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': 24, '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': None, 'subgroup_order': 9565938, 'subgroup_tex': 'C_3^8.C_3^5.S_3', 'supersolvable': True, 'sylow': 0}
    • id: 169667518
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '229582512.bv', 'ambient_counter': 48, 'ambient_order': 229582512, 'ambient_tex': 'C_3^8.C_3^6:\\GL(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1594323, 'counter': 61, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '229582512.bv.24._.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.Q', 'outer_equivalence': False, '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': 24, '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': None, 'subgroup_order': 9565938, 'subgroup_tex': 'C_3^8.C_3^5.C_6', 'supersolvable': True, 'sylow': 0}
    • id: 169667522
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '229582512.bv', 'ambient_counter': 48, 'ambient_order': 229582512, 'ambient_tex': 'C_3^8.C_3^6:\\GL(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1594323, 'counter': 62, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '229582512.bv.24._.R', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.R', 'outer_equivalence': False, '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': 24, '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': None, 'subgroup_order': 9565938, 'subgroup_tex': 'C_3^9.C_3^4.S_3', 'supersolvable': True, 'sylow': 0}
    • id: 169667523
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '229582512.bv', 'ambient_counter': 48, 'ambient_order': 229582512, 'ambient_tex': 'C_3^8.C_3^6:\\GL(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1594323, 'counter': 63, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '229582512.bv.24._.S', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.S', 'outer_equivalence': False, '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': 24, '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': None, 'subgroup_order': 9565938, 'subgroup_tex': 'C_3^8.C_3^5.C_6', 'supersolvable': True, 'sylow': 0}
    • id: 169667524
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '229582512.bv', 'ambient_counter': 48, 'ambient_order': 229582512, 'ambient_tex': 'C_3^8.C_3^6:\\GL(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1594323, 'counter': 64, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '229582512.bv.24._.T', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.T', 'outer_equivalence': False, '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': 24, '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': None, 'subgroup_order': 9565938, 'subgroup_tex': 'C_3^8.C_3^5.S_3', 'supersolvable': True, 'sylow': 0}
    • id: 169667525
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '229582512.bv', 'ambient_counter': 48, 'ambient_order': 229582512, 'ambient_tex': 'C_3^8.C_3^6:\\GL(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1594323, 'counter': 65, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '229582512.bv.24._.U', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.U', 'outer_equivalence': False, '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': 24, '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': None, 'subgroup_order': 9565938, 'subgroup_tex': 'C_3^8.C_3^5.C_6', 'supersolvable': True, 'sylow': 0}
    • id: 169667526
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '229582512.bv', 'ambient_counter': 48, 'ambient_order': 229582512, 'ambient_tex': 'C_3^8.C_3^6:\\GL(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 177147, 'counter': 66, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '229582512.bv.24._.V', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.V', 'outer_equivalence': False, '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': 24, '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': None, 'subgroup_order': 9565938, 'subgroup_tex': 'C_3^7.C_3^4.C_3^3.C_2', 'supersolvable': True, 'sylow': 0}
    • id: 169667527
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '229582512.bv', 'ambient_counter': 48, 'ambient_order': 229582512, 'ambient_tex': 'C_3^8.C_3^6:\\GL(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 59049, 'counter': 67, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '229582512.bv.24._.W', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.W', 'outer_equivalence': False, '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': 24, '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': None, 'subgroup_order': 9565938, 'subgroup_tex': 'C_3^8.C_3^5.S_3', 'supersolvable': True, 'sylow': 0}
    • id: 169667528
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '229582512.bv', 'ambient_counter': 48, 'ambient_order': 229582512, 'ambient_tex': 'C_3^8.C_3^6:\\GL(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 59049, 'counter': 68, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '229582512.bv.24._.X', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.X', 'outer_equivalence': False, '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': 24, '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': None, 'subgroup_order': 9565938, 'subgroup_tex': 'C_3^8.C_3^4.C_3.C_6', 'supersolvable': True, 'sylow': 0}
    • id: 169667529
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '229582512.bv', 'ambient_counter': 48, 'ambient_order': 229582512, 'ambient_tex': 'C_3^8.C_3^6:\\GL(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 59049, 'counter': 69, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '229582512.bv.24._.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.Y', 'outer_equivalence': False, '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': 24, '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': None, 'subgroup_order': 9565938, 'subgroup_tex': 'C_3^9.C_3.C_3^4.C_2', 'supersolvable': True, 'sylow': 0}
    • id: 169667531
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '229582512.bv', 'ambient_counter': 48, 'ambient_order': 229582512, 'ambient_tex': 'C_3^8.C_3^6:\\GL(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 177147, 'counter': 70, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '229582512.bv.24._.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.Z', 'outer_equivalence': False, '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': 24, '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': None, 'subgroup_order': 9565938, 'subgroup_tex': 'C_3^5.C_3^5.C_3^4.C_2', 'supersolvable': True, 'sylow': 0}
    • id: 169667532
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '229582512.bv', 'ambient_counter': 48, 'ambient_order': 229582512, 'ambient_tex': 'C_3^8.C_3^6:\\GL(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 59049, 'counter': 71, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '229582512.bv.24._.BA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.BA', 'outer_equivalence': False, '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': 24, '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': None, 'subgroup_order': 9565938, 'subgroup_tex': 'C_3^{10}.\\He_3:S_3', 'supersolvable': True, 'sylow': 0}
    • id: 169667533
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '229582512.bv', 'ambient_counter': 48, 'ambient_order': 229582512, 'ambient_tex': 'C_3^8.C_3^6:\\GL(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 59049, 'counter': 72, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '229582512.bv.24._.BB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.BB', 'outer_equivalence': False, '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': 24, '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': None, 'subgroup_order': 9565938, 'subgroup_tex': 'C_3^9.C_3^4.S_3', 'supersolvable': True, 'sylow': 0}
    • id: 169667534
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '229582512.bv', 'ambient_counter': 48, 'ambient_order': 229582512, 'ambient_tex': 'C_3^8.C_3^6:\\GL(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 59049, 'counter': 73, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '229582512.bv.24._.BC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.BC', 'outer_equivalence': False, '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': 24, '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': None, 'subgroup_order': 9565938, 'subgroup_tex': 'C_3^9.C_3.C_3^4.C_2', 'supersolvable': True, 'sylow': 0}
    • id: 169667535
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '229582512.bv', 'ambient_counter': 48, 'ambient_order': 229582512, 'ambient_tex': 'C_3^8.C_3^6:\\GL(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 177147, 'counter': 74, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '229582512.bv.24._.BD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.BD', 'outer_equivalence': False, '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': 24, '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': None, 'subgroup_order': 9565938, 'subgroup_tex': 'C_3^7.C_3^4.C_3^3.C_2', 'supersolvable': True, 'sylow': 0}
    • id: 169667536
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '229582512.bv', 'ambient_counter': 48, 'ambient_order': 229582512, 'ambient_tex': 'C_3^8.C_3^6:\\GL(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 531441, 'counter': 75, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '229582512.bv.24._.BE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.BE', 'outer_equivalence': False, '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': 24, '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': None, 'subgroup_order': 9565938, 'subgroup_tex': 'C_3^9.C_3^5.C_2', 'supersolvable': True, 'sylow': 0}
    • id: 169667537
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '229582512.bv', 'ambient_counter': 48, 'ambient_order': 229582512, 'ambient_tex': 'C_3^8.C_3^6:\\GL(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 177147, 'counter': 76, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '229582512.bv.24._.BF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.BF', 'outer_equivalence': False, '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': 24, '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': None, 'subgroup_order': 9565938, 'subgroup_tex': 'C_3^7.C_3^5.C_3.C_6', 'supersolvable': True, 'sylow': 0}
    • id: 169667538
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '229582512.bv', 'ambient_counter': 48, 'ambient_order': 229582512, 'ambient_tex': 'C_3^8.C_3^6:\\GL(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 59049, 'counter': 77, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '229582512.bv.24._.BG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.BG', 'outer_equivalence': False, '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': 24, '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': None, 'subgroup_order': 9565938, 'subgroup_tex': 'C_3^8.C_3^5.C_6', 'supersolvable': True, 'sylow': 0}
    • id: 169667539
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '229582512.bv', 'ambient_counter': 48, 'ambient_order': 229582512, 'ambient_tex': 'C_3^8.C_3^6:\\GL(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 59049, 'counter': 78, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '229582512.bv.24._.BH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.BH', 'outer_equivalence': False, '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': 24, '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': None, 'subgroup_order': 9565938, 'subgroup_tex': 'C_3^8.C_3^5.C_6', 'supersolvable': True, 'sylow': 0}
    • id: 169667540
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '229582512.bv', 'ambient_counter': 48, 'ambient_order': 229582512, 'ambient_tex': 'C_3^8.C_3^6:\\GL(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 59049, 'counter': 79, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '229582512.bv.24._.BI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.BI', 'outer_equivalence': False, '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': 24, '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': None, 'subgroup_order': 9565938, 'subgroup_tex': 'C_3^9.C_3^4.C_6', 'supersolvable': True, 'sylow': 0}
    • id: 169667542
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '229582512.bv', 'ambient_counter': 48, 'ambient_order': 229582512, 'ambient_tex': 'C_3^8.C_3^6:\\GL(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 177147, 'counter': 80, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '229582512.bv.24._.BJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.BJ', 'outer_equivalence': False, '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': 24, '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': None, 'subgroup_order': 9565938, 'subgroup_tex': 'C_3^7.C_3^5.C_3.C_6', 'supersolvable': True, 'sylow': 0}
    • id: 169667543
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '229582512.bv', 'ambient_counter': 48, 'ambient_order': 229582512, 'ambient_tex': 'C_3^8.C_3^6:\\GL(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 59049, 'counter': 81, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '229582512.bv.24._.BK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.BK', 'outer_equivalence': False, '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': 24, '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': None, 'subgroup_order': 9565938, 'subgroup_tex': 'C_3^{11}.\\He_3.C_2', 'supersolvable': True, 'sylow': 0}
    • id: 169667544
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '229582512.bv', 'ambient_counter': 48, 'ambient_order': 229582512, 'ambient_tex': 'C_3^8.C_3^6:\\GL(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 59049, 'counter': 82, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '229582512.bv.24._.BL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.BL', 'outer_equivalence': False, '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': 24, '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': None, 'subgroup_order': 9565938, 'subgroup_tex': 'C_3^8.C_3^5.C_6', 'supersolvable': True, 'sylow': 0}
    • id: 169667545
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '229582512.bv', 'ambient_counter': 48, 'ambient_order': 229582512, 'ambient_tex': 'C_3^8.C_3^6:\\GL(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 59049, 'counter': 83, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '229582512.bv.24._.BM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.BM', 'outer_equivalence': False, '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': 24, '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': None, 'subgroup_order': 9565938, 'subgroup_tex': 'C_3^8.C_3^5.C_6', 'supersolvable': True, 'sylow': 0}
    • id: 169667546
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '229582512.bv', 'ambient_counter': 48, 'ambient_order': 229582512, 'ambient_tex': 'C_3^8.C_3^6:\\GL(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 177147, 'counter': 84, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '229582512.bv.24._.BN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.BN', 'outer_equivalence': False, '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': 24, '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': None, 'subgroup_order': 9565938, 'subgroup_tex': 'C_3^9.C_3^4.C_6', 'supersolvable': True, 'sylow': 0}
    • id: 169667547
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '229582512.bv', 'ambient_counter': 48, 'ambient_order': 229582512, 'ambient_tex': 'C_3^8.C_3^6:\\GL(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 531441, 'counter': 85, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '229582512.bv.24._.BO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.BO', 'outer_equivalence': False, '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': 24, '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': None, 'subgroup_order': 9565938, 'subgroup_tex': 'C_3^9.C_3^5.C_2', 'supersolvable': True, 'sylow': 0}
    • id: 169667548
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '229582512.bv', 'ambient_counter': 48, 'ambient_order': 229582512, 'ambient_tex': 'C_3^8.C_3^6:\\GL(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6561, 'counter': 86, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '229582512.bv.24._.BP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.BP', 'outer_equivalence': False, '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': 24, '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': None, 'subgroup_order': 9565938, 'subgroup_tex': 'C_3^8.C_3^4:C_3.C_6', 'supersolvable': True, 'sylow': 0}
    • id: 169667549
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '229582512.bv', 'ambient_counter': 48, 'ambient_order': 229582512, 'ambient_tex': 'C_3^8.C_3^6:\\GL(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6561, 'counter': 87, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '229582512.bv.24._.BQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.BQ', 'outer_equivalence': False, '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': 24, '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': None, 'subgroup_order': 9565938, 'subgroup_tex': 'C_3^9.C_3^4.S_3', 'supersolvable': True, 'sylow': 0}
    • id: 169667550
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '229582512.bv', 'ambient_counter': 48, 'ambient_order': 229582512, 'ambient_tex': 'C_3^8.C_3^6:\\GL(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 19683, 'counter': 88, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '229582512.bv.24._.BR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.BR', 'outer_equivalence': False, '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': 24, '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': None, 'subgroup_order': 9565938, 'subgroup_tex': 'C_3^7.C_3^5.C_3.C_6', 'supersolvable': True, 'sylow': 0}
    • id: 169667551
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '229582512.bv', 'ambient_counter': 48, 'ambient_order': 229582512, 'ambient_tex': 'C_3^8.C_3^6:\\GL(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 177147, 'counter': 89, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '229582512.bv.24._.BS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.BS', 'outer_equivalence': False, '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': 24, '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': None, 'subgroup_order': 9565938, 'subgroup_tex': 'C_3^8.C_3^5.S_3', 'supersolvable': True, 'sylow': 0}
    • id: 169667553
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '229582512.bv', 'ambient_counter': 48, 'ambient_order': 229582512, 'ambient_tex': 'C_3^8.C_3^6:\\GL(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 177147, 'counter': 90, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '229582512.bv.24._.BT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.BT', 'outer_equivalence': False, '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': 24, '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': None, 'subgroup_order': 9565938, 'subgroup_tex': 'C_3^{10}.\\He_3:S_3', 'supersolvable': True, 'sylow': 0}
    • id: 169667554
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '229582512.bv', 'ambient_counter': 48, 'ambient_order': 229582512, 'ambient_tex': 'C_3^8.C_3^6:\\GL(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 531441, 'counter': 91, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '229582512.bv.24._.BU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.BU', 'outer_equivalence': False, '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': 24, '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': None, 'subgroup_order': 9565938, 'subgroup_tex': 'C_3^{12}.C_3.C_6', 'supersolvable': True, 'sylow': 0}
    • id: 169667555
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '229582512.bv', 'ambient_counter': 48, 'ambient_order': 229582512, 'ambient_tex': 'C_3^8.C_3^6:\\GL(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 177147, 'counter': 92, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '229582512.bv.24._.BV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.BV', 'outer_equivalence': False, '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': 24, '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': None, 'subgroup_order': 9565938, 'subgroup_tex': 'C_3^8.C_3^5.S_3', 'supersolvable': True, 'sylow': 0}
    • id: 169667556
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '229582512.bv', 'ambient_counter': 48, 'ambient_order': 229582512, 'ambient_tex': 'C_3^8.C_3^6:\\GL(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 19683, 'counter': 93, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '229582512.bv.24._.BW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.BW', 'outer_equivalence': False, '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': 24, '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': None, 'subgroup_order': 9565938, 'subgroup_tex': 'C_3^7.C_3^5.C_3.C_6', 'supersolvable': True, 'sylow': 0}
    • id: 169667557
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '229582512.bv', 'ambient_counter': 48, 'ambient_order': 229582512, 'ambient_tex': 'C_3^8.C_3^6:\\GL(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6561, 'counter': 94, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '229582512.bv.24._.BX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.BX', 'outer_equivalence': False, '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': 24, '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': None, 'subgroup_order': 9565938, 'subgroup_tex': 'C_3^9.C_3.C_3^4.C_2', 'supersolvable': True, 'sylow': 0}
    • id: 169667558
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '229582512.bv', 'ambient_counter': 48, 'ambient_order': 229582512, 'ambient_tex': 'C_3^8.C_3^6:\\GL(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6561, 'counter': 95, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '229582512.bv.24._.BY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.BY', 'outer_equivalence': False, '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': 24, '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': None, 'subgroup_order': 9565938, 'subgroup_tex': 'C_3^9.C_3^4.S_3', 'supersolvable': True, 'sylow': 0}
    • id: 169667559
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '229582512.bv', 'ambient_counter': 48, 'ambient_order': 229582512, 'ambient_tex': 'C_3^8.C_3^6:\\GL(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6561, 'counter': 96, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '229582512.bv.24._.BZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.BZ', 'outer_equivalence': False, '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': 24, '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': None, 'subgroup_order': 9565938, 'subgroup_tex': 'C_3^{10}.\\He_3:S_3', 'supersolvable': True, 'sylow': 0}
    • id: 169667560
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '229582512.bv', 'ambient_counter': 48, 'ambient_order': 229582512, 'ambient_tex': 'C_3^8.C_3^6:\\GL(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 19683, 'counter': 97, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '229582512.bv.24._.CA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.CA', 'outer_equivalence': False, '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': 24, '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': None, 'subgroup_order': 9565938, 'subgroup_tex': 'C_3^9.C_3.C_3^4.C_2', 'supersolvable': True, 'sylow': 0}
    • id: 169667561
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '229582512.bv', 'ambient_counter': 48, 'ambient_order': 229582512, 'ambient_tex': 'C_3^8.C_3^6:\\GL(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6561, 'counter': 98, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '229582512.bv.24._.CB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.CB', 'outer_equivalence': False, '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': 24, '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': None, 'subgroup_order': 9565938, 'subgroup_tex': 'C_3^8.C_3^4.C_3.C_6', 'supersolvable': True, 'sylow': 0}
    • id: 169667562
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '229582512.bv', 'ambient_counter': 48, 'ambient_order': 229582512, 'ambient_tex': 'C_3^8.C_3^6:\\GL(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 118098, 'counter': 99, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '229582512.bv.27._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '27.A', 'outer_equivalence': False, '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': 27, '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': '8503056.iw', 'subgroup_hash': None, 'subgroup_order': 8503056, 'subgroup_tex': 'C_3^8.C_3^4:\\SD_{16}', 'supersolvable': False, 'sylow': 0}
    • id: 169666953
      {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '229582512.bv', 'ambient_counter': 48, 'ambient_order': 229582512, 'ambient_tex': 'C_3^8.C_3^6:\\GL(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 354294, 'counter': 100, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '229582512.bv.27._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '27.B', 'outer_equivalence': False, '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': 27, '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': '8503056.iv', 'subgroup_hash': None, 'subgroup_order': 8503056, 'subgroup_tex': 'C_3^9.F_9.S_3', 'supersolvable': False, 'sylow': 0}
  • gps_subgroup_data • Show schema
    Showing the first 100 of 612 matching records in this table.
    • id: 169666951
      {'ambient': '229582512.bv', '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': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [79879107, 3259463771513309810601995901955900797, 418802673724860340371536788, 526261673867387065200240040673360640, 212433834663304851603484602739781158832069, 9146650338351415815045120000144, 79833744, 275959908438394945924160054153562284046120, 2554547108585552640, 79833603, 255296328255981386745863397942367920977733, 303092991877858008887408931665763390001, 17683523987479404620462088192144, 308168786316381748351716873103799912122196, 3, 271353675587898429002786847885930384, 20666295932772289886309320141709064153600, 180519391136294408791681360199792842901763, 20666567286448684340687112843838214253364], 'label': '229582512.bv.1.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
    • id: 169666952
      {'ambient': '229582512.bv', 'aut_centralizer_order': None, 'aut_label': None, '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': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [79879107, 3259463771513309810601995901955900797, 418802673724860340371536788, 526261673867387065200240040673360640, 212433834663304851603484602739781158832069, 9146650338351415815045120000144, 79833744, 275959908438394945924160054153562284046120, 79833603, 255296328255981386745863397942367920977733, 526261673867438764368625169209351200, 17683523987479404620462088192144, 308168786316381748351716873103799912122196, 3, 20666295932772289886309320141709064153600, 20666567286448684340687112843838214253364, 4865804016353325360], 'label': '229582512.bv.6._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '6.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6._.C', 'subgroup_fusion': None, 'weyl_group': None}
    • id: 169666953
      {'ambient': '229582512.bv', 'aut_centralizer_order': None, 'aut_label': None, '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': None, 'coset_action_label': None, 'count': 27, 'diagramx': None, 'generators': [43591203, 308169312560372091751297803630737000122196, 526261673867387065200240040673360640, 418802673724860340371536788, 212433834663304851603484602739781158832069, 3259463771125554287534732359724860797, 9146650338351415815045120000144, 275959908438394945924160054153562284046120, 2554547108585552640, 303092991877858008887408931665763390001, 255296328255981386745863397942367920977733, 17683523987479404620462088192144, 79833604, 271353675587898429002786847885930384, 20666295932772289886309320141709064153600, 20666567286448684340687112843838214253364], 'label': '229582512.bv.27._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '27.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27._.B', 'subgroup_fusion': None, 'weyl_group': None}
    • id: 169666954
      {'ambient': '229582512.bv', 'aut_centralizer_order': None, 'aut_label': None, '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': None, 'coset_action_label': None, 'count': 27, 'diagramx': None, 'generators': [79879107, 526261673867387065200240040673360640, 418802673724860340371536788, 9146650338351415815045120000144, 79833744, 2554547108585552640, 79833603, 303092991877858008887408931665763390001, 17683523987479404620462088192144, 308168786316381748351716873103799912122196, 84789065593196545512511774421431918202162, 3, 271353675587898429002786847885930384, 20666295932772289886309320141709064153600, 148607112704179962130886339814290594665653, 20666567286448684340687112843838214253364], 'label': '229582512.bv.27._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '27.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27._.C', 'subgroup_fusion': None, 'weyl_group': None}
    • id: 169666955
      {'ambient': '229582512.bv', 'aut_centralizer_order': None, 'aut_label': None, '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': None, 'coset_action_label': None, 'count': 27, 'diagramx': None, 'generators': [79879107, 297541220151341117815598236878574401047284, 526261673867387065200240040673360640, 418802673724860340371536788, 9146650338351415815045120000144, 79833744, 2554547108585552640, 79833603, 303092991877858008887408931665763390001, 17683523987479404620462088192144, 308168786316381748351716873103799912122196, 84789065593196545512511774421431918202162, 271353675587898429002786847885930384, 20666295932772289886309320141709064153600, 148607112704179962130886339814290594665653, 20666567286448684340687112843838214253364], 'label': '229582512.bv.27._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '27.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27._.D', 'subgroup_fusion': None, 'weyl_group': None}
    • id: 169666956
      {'ambient': '229582512.bv', 'aut_centralizer_order': None, 'aut_label': None, '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': None, 'coset_action_label': None, 'count': 27, 'diagramx': None, 'generators': [79879107, 526261673867387065200240040673360640, 74161771156658216610280637773247008010424, 418802673724860340371536788, 9146650338351415815045120000144, 79833744, 2554547108585552640, 79833603, 303092991877858008887408931665763390001, 17683523987479404620462088192144, 308168786316381748351716873103799912122196, 84789065593196545512511774421431918202162, 271353675587898429002786847885930384, 20666295932772289886309320141709064153600, 148607112704179962130886339814290594665653, 20666567286448684340687112843838214253364], 'label': '229582512.bv.27._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '27.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27._.E', 'subgroup_fusion': None, 'weyl_group': None}
    • id: 169666957
      {'ambient': '229582512.bv', 'aut_centralizer_order': None, 'aut_label': None, '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': None, 'coset_action_label': None, 'count': 27, 'diagramx': None, 'generators': [79879107, 526261673867387065200240040673360640, 418802673724860340371536788, 297541220151341117815598236878574401047283, 9146650338351415815045120000144, 79833744, 2554547108585552640, 79833603, 303092991877858008887408931665763390001, 17683523987479404620462088192144, 308168786316381748351716873103799912122196, 84789065593196545512511774421431918202162, 271353675587898429002786847885930384, 20666295932772289886309320141709064153600, 148607112704179962130886339814290594665653, 20666567286448684340687112843838214253364], 'label': '229582512.bv.27._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '27.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27._.F', 'subgroup_fusion': None, 'weyl_group': None}
    • id: 169666958
      {'ambient': '229582512.bv', 'aut_centralizer_order': None, 'aut_label': None, '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': None, 'coset_action_label': None, 'count': 27, 'diagramx': None, 'generators': [3259463771513361514635138907271008077, 526261673867387065200240040673360640, 418802673724860340371536788, 43626387, 9146650338351415815045120000144, 180519391136294408791678805987448815804164, 212433834671841725227884574822715901872069, 275959908438394945924160054153562284046120, 2554547108585552640, 303092991877858008887408931665763390001, 255296328255981386745863397942367920977733, 17683523987479404620462088192144, 271353675587898429002786847885930384, 20666295932772289886309320141709064153600, 308169312568908965400425791724685706810196, 20666567286448684340687112843838214253364], 'label': '229582512.bv.27._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '27.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27._.G', 'subgroup_fusion': None, 'weyl_group': None}
    • id: 169666959
      {'ambient': '229582512.bv', 'aut_centralizer_order': None, 'aut_label': None, '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': None, 'coset_action_label': None, 'count': 27, 'diagramx': None, 'generators': [79879107, 297541220151341117815598236878574401047283, 526261673867414038906826405751321744, 79833744, 271362822238209806955305728745517504, 2554547108585552640, 303092991877858008887408931665763390001, 20666295950455813873788724762171152345744, 308168786316381748351716873103799912122196, 84789065593196545512511774421431918202162, 271353676006674129021060823179264148, 3, 20666822194446157273374520381749737514240, 526261673867387065200240040753194243, 20666567286448684340687112843838214253364, 148607384057855550002341879304974220057013], 'label': '229582512.bv.27._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '27.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27._.H', 'subgroup_fusion': None, 'weyl_group': None}
    • id: 169666960
      {'ambient': '229582512.bv', 'aut_centralizer_order': None, 'aut_label': None, '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': None, 'coset_action_label': None, 'count': 27, 'diagramx': None, 'generators': [79879107, 297541220151341117815598236878574401047283, 271353675587871455539490683625517363, 526261673867414038906826405751321744, 79833744, 271362822238209806955305728745517504, 2554547108585552640, 303092991877858008887408931665763390001, 20666295950455813873788724762171152345744, 308168786316381748351716873103799912122196, 271353676006674129021060823179264148, 84789065593196545512511774421431918202162, 20666822194446157273374520381749737514240, 526261673867387065200240040753194243, 20666567286448684340687112843838214253364, 148607384057855550002341879304974220057013], 'label': '229582512.bv.27._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '27.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27._.I', 'subgroup_fusion': None, 'weyl_group': None}
    • id: 169666961
      {'ambient': '229582512.bv', 'aut_centralizer_order': None, 'aut_label': None, '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': None, 'coset_action_label': None, 'count': 27, 'diagramx': None, 'generators': [79879107, 297541220151341117815598236878574401047283, 526261673867414038906826405751321744, 79833744, 526261673867387065200240040673360643, 271362822238209806955305728745517504, 2554547108585552640, 303092991877858008887408931665763390001, 20666295950455813873788724762171152345744, 308168786316381748351716873103799912122196, 271353676006674129021060823179264148, 84789065593196545512511774421431918202162, 20666822194446157273374520381749737514240, 526261673867387065200240040753194243, 20666567286448684340687112843838214253364, 148607384057855550002341879304974220057013], 'label': '229582512.bv.27._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '27.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27._.J', 'subgroup_fusion': None, 'weyl_group': None}
    • id: 169666962
      {'ambient': '229582512.bv', 'aut_centralizer_order': None, 'aut_label': None, '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': None, 'coset_action_label': None, 'count': 27, 'diagramx': None, 'generators': [79879107, 526261673867414038906826405751321744, 79833744, 526261673867387065200240040673360643, 271362822238209806955305728745517504, 2554547108585552640, 303092991877858008887408931665763390001, 20666295950455813873788724762171152345744, 308168786316381748351716873103799912122196, 308169600916766866834408473347971204055283, 271353676006674129021060823179264148, 84789065593196545512511774421431918202162, 20666822194446157273374520381749737514240, 526261673867387065200240040753194243, 20666567286448684340687112843838214253364, 148607384057855550002341879304974220057013], 'label': '229582512.bv.27._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '27.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27._.K', 'subgroup_fusion': None, 'weyl_group': None}
    • id: 169666963
      {'ambient': '229582512.bv', 'aut_centralizer_order': None, 'aut_label': None, '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': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [79879107, 3259463771513309810601995901955900797, 418802673724860340371536788, 526261673867387065200240040673360640, 212433834663304851603484602739781158832069, 9146650338351415815045120000144, 79833744, 275959908438394945924160054153562284046120, 79833603, 255296328255981386745863397942367920977733, 526261673867438764368625169209351200, 17683523987479404620462088192144, 308168786316381748351716873103799912122196, 20666295932772289886309320141709064153600, 180519391136294408791681360199792842901763, 20666567286448684340687112843838214253364, 4865804016353325360], 'label': '229582512.bv.6._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '6.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6._.D', 'subgroup_fusion': None, 'weyl_group': None}
    • id: 169666964
      {'ambient': '229582512.bv', 'aut_centralizer_order': None, 'aut_label': None, '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': None, 'coset_action_label': None, 'count': 27, 'diagramx': None, 'generators': [79879107, 526261673867414038906826405751321744, 79833744, 271362822238209806955305728745517504, 2554547108585552640, 303092991877858008887408931665763390001, 20666295950455813873788724762171152345744, 308168786316381748351716873103799912122196, 308169600916766866834408473347971204055283, 84789065593196545512511774421431918202162, 271353676006674129021060823179264148, 3, 20666822194446157273374520381749737514240, 526261673867387065200240040753194243, 20666567286448684340687112843838214253364, 148607384057855550002341879304974220057013], 'label': '229582512.bv.27._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '27.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27._.L', 'subgroup_fusion': None, 'weyl_group': None}
    • id: 169666965
      {'ambient': '229582512.bv', 'aut_centralizer_order': None, 'aut_label': None, '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': None, 'coset_action_label': None, 'count': 27, 'diagramx': None, 'generators': [79879107, 271353675587871455539490683625517363, 526261673867414038906826405751321744, 79833744, 271362822238209806955305728745517504, 2554547108585552640, 303092991877858008887408931665763390001, 20666295950455813873788724762171152345744, 308168786316381748351716873103799912122196, 308169600916766866834408473347971204055283, 271353676006674129021060823179264148, 84789065593196545512511774421431918202162, 20666822194446157273374520381749737514240, 526261673867387065200240040753194243, 20666567286448684340687112843838214253364, 148607384057855550002341879304974220057013], 'label': '229582512.bv.27._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '27.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27._.M', 'subgroup_fusion': None, 'weyl_group': None}
    • id: 169666966
      {'ambient': '229582512.bv', 'aut_centralizer_order': None, 'aut_label': None, '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': None, 'coset_action_label': None, 'count': 27, 'diagramx': None, 'generators': [2554547108585552640, 308168786316381748351716873103799912122196, 79833744, 526261673867414038906826405751321744, 303092991877858008887408931665763390001, 79879107, 271353675587871455539490683625517363, 271353676006674129021060823179264148, 20666567286448684340687112843838214253364, 287503304983994577002051188139587431920883, 20666295950455813873788724762171152345744, 271362822238209806955305728745517504, 148607384057855550002341879304974220057013, 526261673867387065200240040753194243, 84789065593196545512511774421431918202162, 20666822194446157273374520381749737514240], 'label': '229582512.bv.27._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '27.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27._.N', 'subgroup_fusion': None, 'weyl_group': None}
    • id: 169666967
      {'ambient': '229582512.bv', 'aut_centralizer_order': None, 'aut_label': None, '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': None, 'coset_action_label': None, 'count': 27, 'diagramx': None, 'generators': [2554547108585552640, 308168786316381748351716873103799912122196, 79833744, 526261673867414038906826405751321744, 303092991877858008887408931665763390001, 79879107, 526261673867387065200240040673360643, 271353676006674129021060823179264148, 20666567286448684340687112843838214253364, 287503304983994577002051188139587431920883, 20666295950455813873788724762171152345744, 271362822238209806955305728745517504, 148607384057855550002341879304974220057013, 526261673867387065200240040753194243, 84789065593196545512511774421431918202162, 20666822194446157273374520381749737514240], 'label': '229582512.bv.27._.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '27.O', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27._.O', 'subgroup_fusion': None, 'weyl_group': None}
    • id: 169666968
      {'ambient': '229582512.bv', 'aut_centralizer_order': None, 'aut_label': None, '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': None, 'coset_action_label': None, 'count': 27, 'diagramx': None, 'generators': [79879107, 287503304983994577002051188139587431920883, 526261673867414038906826405751321744, 79833744, 271362822238209806955305728745517504, 2554547108585552640, 303092991877858008887408931665763390001, 20666295950455813873788724762171152345744, 308168786316381748351716873103799912122196, 271353676006674129021060823179264148, 84789065593196545512511774421431918202162, 3, 20666822194446157273374520381749737514240, 526261673867387065200240040753194243, 20666567286448684340687112843838214253364, 148607384057855550002341879304974220057013], 'label': '229582512.bv.27._.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '27.P', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27._.P', 'subgroup_fusion': None, 'weyl_group': None}
    • id: 169666969
      {'ambient': '229582512.bv', 'aut_centralizer_order': None, 'aut_label': None, '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': None, 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [79879107, 526261673867387065200240040673360640, 3259463771513309810601995901955900797, 418802673724860340371536788, 212433834663304851603484602739781158832069, 9146650338351415815045120000144, 79833744, 275959908438394945924160054153562284046120, 2554547108585552640, 79833603, 255296328255981386745863397942367920977733, 17683523987479404620462088192144, 271353675587898429002786847885930384, 20666295932772289886309320141709064153600, 20666567286448684340687112843838214253364], 'label': '229582512.bv.36._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.A', 'subgroup_fusion': None, 'weyl_group': None}
    • id: 169666970
      {'ambient': '229582512.bv', 'aut_centralizer_order': None, 'aut_label': None, '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': None, 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [79879107, 526261673867387065200240040673360640, 418802673724860340371536788, 212433834663304851603484602739781158832069, 3259463771125554287534732359724860797, 9146650338351415815045120000144, 79833744, 275959908438394945924160054153562284046120, 2554547108585552640, 255296328255981386745863397942367920977733, 17683523987479404620462088192144, 79833604, 271353675587898429002786847885930384, 20666295932772289886309320141709064153600, 20666567286448684340687112843838214253364], 'label': '229582512.bv.36._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.B', 'subgroup_fusion': None, 'weyl_group': None}
    • id: 169666971
      {'ambient': '229582512.bv', 'aut_centralizer_order': None, 'aut_label': None, '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': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [79879107, 526261673867387065200240040673360640, 418802673724860340371536788, 212433834663304851603484602739781158832069, 3259463771125554287534732359724860797, 9146650338351415815045120000144, 79833744, 275959908438394945924160054153562284046120, 2554547108585552640, 255296328255981386745863397942367920977733, 17683523987479404620462088192144, 3, 271353675587898429002786847885930384, 20666295932772289886309320141709064153600, 20666567286448684340687112843838214253364], 'label': '229582512.bv.36._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.C', 'subgroup_fusion': None, 'weyl_group': None}
    • id: 169666972
      {'ambient': '229582512.bv', 'aut_centralizer_order': None, 'aut_label': None, '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': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [43591203, 418802673724860340371536788, 3259463771513309810601995901955900797, 526261673867387065200240040673360640, 9146650338351415815045120000144, 275959908438394945924160054153562284046120, 2554547108585552640, 79833603, 303092991877858008887408931665763390001, 255296328255981386745863397942367920977733, 17683523987479404620462088192144, 3, 271353675587898429002786847885930384, 20666295932772289886309320141709064153600, 20666567286448684340687112843838214253364], 'label': '229582512.bv.36._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.D', 'subgroup_fusion': None, 'weyl_group': None}
    • id: 169666973
      {'ambient': '229582512.bv', 'aut_centralizer_order': None, 'aut_label': None, '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': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [526261673867387065200240040673360640, 3259463771513309810601995901955900797, 418802673724860340371536788, 43626384, 9146650338351415815045120000144, 180519391136294408791678806364059113621760, 275959908438394945924160054153562284046120, 2554547108585552640, 303092991877858008887408931665763390001, 255296328255981386745863397942367920977733, 17683523987479404620462088192144, 3, 271353675587898429002786847885930384, 20666295932772289886309320141709064153600, 20666567286448684340687112843838214253364], 'label': '229582512.bv.36._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.E', 'subgroup_fusion': None, 'weyl_group': None}
    • id: 169666974
      {'ambient': '229582512.bv', 'aut_centralizer_order': None, 'aut_label': None, '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': None, 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [79879107, 526261673867387065200240040673360640, 3259463771513309810601995901955900797, 418802673724860340371536788, 9146650338351415815045120000144, 116407740920917639181101182550191692074173, 79833744, 275959908438394945924160054153562284046120, 79833603, 303092991877858008887408931665763390001, 255296328255981386745863397942367920977733, 526261673867438764368625169209351200, 17683523987479404620462088192144, 3, 20666295932772289886309320141709064153600, 20666567286448684340687112843838214253364, 4865804016353325360], 'label': '229582512.bv.6._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '6.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6._.E', 'subgroup_fusion': None, 'weyl_group': None}
    • id: 169666975
      {'ambient': '229582512.bv', 'aut_centralizer_order': None, 'aut_label': None, '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': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [526261673867387065200240040673360640, 3259463771513309810601995901955900797, 418802673724860340371536788, 43626384, 180519391136294408791681360911167699093764, 9146650338351415815045120000144, 275959908438394945924160054153562284046120, 2554547108585552640, 303092991877858008887408931665763390001, 255296328255981386745863397942367920977733, 17683523987479404620462088192144, 3, 271353675587898429002786847885930384, 20666295932772289886309320141709064153600, 20666567286448684340687112843838214253364], 'label': '229582512.bv.36._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.F', 'subgroup_fusion': None, 'weyl_group': None}
    • id: 169666976
      {'ambient': '229582512.bv', 'aut_centralizer_order': None, 'aut_label': None, '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': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [180519391136294408791676495107151345813763, 526261673867387065200240040673360640, 3259463771513309810601995901955900797, 418802673724860340371536788, 43626384, 9146650338351415815045120000144, 275959908438394945924160054153562284046120, 2554547108585552640, 303092991877858008887408931665763390001, 255296328255981386745863397942367920977733, 17683523987479404620462088192144, 3, 271353675587898429002786847885930384, 20666295932772289886309320141709064153600, 20666567286448684340687112843838214253364], 'label': '229582512.bv.36._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.G', 'subgroup_fusion': None, 'weyl_group': None}
    • id: 169666977
      {'ambient': '229582512.bv', 'aut_centralizer_order': None, 'aut_label': None, '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': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [43591203, 418802673724860340371536788, 526261673867387065200240040673360640, 3259463771125554287534732359724860797, 9146650338351415815045120000144, 80880, 275959908438394945924160054153562284046120, 2554547108585552640, 303092991877858008887408931665763390001, 255296328255981386745863397942367920977733, 17683523987479404620462088192144, 79833604, 271353675587898429002786847885930384, 20666295932772289886309320141709064153600, 20666567286448684340687112843838214253364], 'label': '229582512.bv.36._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.H', 'subgroup_fusion': None, 'weyl_group': None}
    • id: 169666978
      {'ambient': '229582512.bv', 'aut_centralizer_order': None, 'aut_label': None, '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': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [79879107, 418802673724860340371536788, 526261673867387065200240040673360640, 9146650338351415815045120000144, 275959908438394945924160054153562284046120, 2554547108585552640, 79833603, 303092991877858008887408931665763390001, 255296328255981386745863397942367920977733, 17683523987479404620462088192144, 3259463771513361514635850282127164797, 3, 271353675587898429002786847885930384, 20666295932772289886309320141709064153600, 20666567286448684340687112843838214253364], 'label': '229582512.bv.36._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.I', 'subgroup_fusion': None, 'weyl_group': None}
    • id: 169666979
      {'ambient': '229582512.bv', 'aut_centralizer_order': None, 'aut_label': None, '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': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [79879107, 526261673867387065200240040673360640, 418802673724860340371536788, 9146650338351415815045120000144, 79833747, 275959908438394945924160054153562284046120, 2554547108585552640, 79833603, 303092991877858008887408931665763390001, 255296328255981386745863397942367920977733, 17683523987479404620462088192144, 3259463771513361514635850282127164797, 271353675587898429002786847885930384, 20666295932772289886309320141709064153600, 20666567286448684340687112843838214253364], 'label': '229582512.bv.36._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.J', 'subgroup_fusion': None, 'weyl_group': None}
    • id: 169666980
      {'ambient': '229582512.bv', 'aut_centralizer_order': None, 'aut_label': None, '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': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [79879107, 418802673724860340371536788, 526261673867387065200240040673360640, 9146650338351415815045120000144, 275959908438394945924160054153562284046120, 2554547108585552640, 79833603, 303092991877858008887408931665763390001, 255296328255981386745863397942367920977733, 17683523987479404620462088192144, 43545843, 3259463771513361514635850282127164797, 271353675587898429002786847885930384, 20666295932772289886309320141709064153600, 20666567286448684340687112843838214253364], 'label': '229582512.bv.36._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.K', 'subgroup_fusion': None, 'weyl_group': None}
    • id: 169666981
      {'ambient': '229582512.bv', 'aut_centralizer_order': None, 'aut_label': None, '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': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [43591203, 526261673867387065200240040673360640, 418802673724860340371536788, 212433834663304851603484602739781158832069, 3259463771125554287534732359724860797, 9146650338351415815045120000144, 275959908438394945924160054153562284046120, 2554547108585552640, 255296328255981386745863397942367920977733, 17683523987479404620462088192144, 79833604, 271353675587898429002786847885930384, 20666295932772289886309320141709064153600, 43591108, 20666567286448684340687112843838214253364], 'label': '229582512.bv.36._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.L', 'subgroup_fusion': None, 'weyl_group': None}
    • id: 169666982
      {'ambient': '229582512.bv', 'aut_centralizer_order': None, 'aut_label': None, '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': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [79879107, 526261673867387065200240040673360640, 3259463771513309810601995901955900797, 418802673724860340371536788, 9146650338351415815045120000144, 79833744, 275959908438394945924160054153562284046120, 2554547108585552640, 79833603, 303092991877858008887408931665763390001, 255296328255981386745863397942367920977733, 17683523987479404620462088192144, 271353675587898429002786847885930384, 20666295932772289886309320141709064153600, 20666567286448684340687112843838214253364], 'label': '229582512.bv.36._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.M', 'subgroup_fusion': None, 'weyl_group': None}
    • id: 169666983
      {'ambient': '229582512.bv', 'aut_centralizer_order': None, 'aut_label': None, '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': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [526261673867387065200240040673360640, 418802673724860340371536788, 43545600, 212433834663304851603484602739781158832069, 9146650338351415815045120000144, 79833744, 275959908438394945924160054153562284046120, 2554547108585552640, 255296328255981386745863397942367920977733, 17683523987479404620462088192144, 271353675587898429002786847885930384, 3259463770706778592382262400741180797, 20666295932772289886309320141709064153600, 43591108, 20666567286448684340687112843838214253364], 'label': '229582512.bv.36._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.N', 'subgroup_fusion': None, 'weyl_group': None}
    • id: 169666984
      {'ambient': '229582512.bv', 'aut_centralizer_order': None, 'aut_label': None, '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': None, 'coset_action_label': '36T83688', 'count': 36, 'diagramx': None, 'generators': [418802673724860340371536788, 3259463771513309810601995901955900797, 526261673867387065200240040673360640, 9146650338351415815045120000144, 79833744, 275959908438394945924160054153562284046120, 2554547108585552640, 303092991877858008887408931665763390001, 17683523987479404620462088192144, 3, 271353675587898429002786847885930384, 10628907027100035311954673601692319952644, 20666295932772289886309320141709064153600, 180519391136294408791681360199792842901763, 10628907027100035311954673601692319872148], 'label': '229582512.bv.36._.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.O', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.O', 'subgroup_fusion': None, 'weyl_group': None}
    • id: 169666985
      {'ambient': '229582512.bv', 'aut_centralizer_order': None, 'aut_label': None, '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': None, 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [79879107, 418802673724860340371536788, 3259463771513309810601995901955900797, 526261673867387065200240040673360640, 9146650338351415815045120000144, 116407740920917639181101182550191692074173, 79833744, 212133449482523816456552137545011165205690, 275959908438394945924160054153562284046120, 79833603, 255296328255981386745863397942367920977733, 526261673867438764368625169209351200, 17683523987479404620462088192144, 3, 20666295932772289886309320141709064153600, 20666567286448684340687112843838214253364, 4865804016353325360], 'label': '229582512.bv.6._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '6.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6._.F', 'subgroup_fusion': None, 'weyl_group': None}
    • id: 169666986
      {'ambient': '229582512.bv', 'aut_centralizer_order': None, 'aut_label': None, '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': None, 'coset_action_label': None, 'count': 36, 'diagramx': None, 'generators': [526261673867387065200240040673360640, 3259463771513309810601995901955900797, 418802673724860340371536788, 43545600, 9146650338351415815045120000144, 80880, 79833744, 275959908438394945924160054153562284046120, 2554547108585552640, 303092991877858008887408931665763390001, 255296328255981386745863397942367920977733, 17683523987479404620462088192144, 271353675587898429002786847885930384, 20666295932772289886309320141709064153600, 20666567286448684340687112843838214253364], 'label': '229582512.bv.36._.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.P', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.P', 'subgroup_fusion': None, 'weyl_group': None}
    • id: 169666987
      {'ambient': '229582512.bv', 'aut_centralizer_order': None, 'aut_label': None, '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': None, 'coset_action_label': None, 'count': 36, 'diagramx': None, 'generators': [526261673867387065200240040673360640, 3259463771513309810601995901955900797, 418802673724860340371536788, 9146650338351415815045120000144, 80880, 79833744, 275959908438394945924160054153562284046120, 2554547108585552640, 303092991877858008887408931665763390001, 255296328255981386745863397942367920977733, 17683523987479404620462088192144, 271353675587898429002786847885930384, 20666295932772289886309320141709064153600, 20666567286448684340687112843838214253364, 180519391136294408791681360199792842901764], 'label': '229582512.bv.36._.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.Q', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.Q', 'subgroup_fusion': None, 'weyl_group': None}
    • id: 169666988
      {'ambient': '229582512.bv', 'aut_centralizer_order': None, 'aut_label': None, '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': None, 'coset_action_label': None, 'count': 36, 'diagramx': None, 'generators': [180519391136294408791681360911167699093760, 3259463771513309810601995901955900797, 418802673724860340371536788, 526261673867387065200240040673360640, 9146650338351415815045120000144, 80880, 79833744, 275959908438394945924160054153562284046120, 2554547108585552640, 303092991877858008887408931665763390001, 255296328255981386745863397942367920977733, 17683523987479404620462088192144, 271353675587898429002786847885930384, 20666295932772289886309320141709064153600, 20666567286448684340687112843838214253364], 'label': '229582512.bv.36._.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.R', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.R', 'subgroup_fusion': None, 'weyl_group': None}
    • id: 169666989
      {'ambient': '229582512.bv', 'aut_centralizer_order': None, 'aut_label': None, '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': None, 'coset_action_label': None, 'count': 36, 'diagramx': None, 'generators': [526261673867387065200240040673360640, 3259463771513309810601995901955900797, 418802673724860340371536788, 9146650338351415815045120000144, 80880, 79833744, 275959908438394945924160054153562284046120, 2554547108585552640, 303092991877858008887408931665763390001, 255296328255981386745863397942367920977733, 17683523987479404620462088192144, 271353675587898429002786847885930384, 20666295932772289886309320141709064153600, 20666567286448684340687112843838214253364, 180519391136294408791681360534557481109763], 'label': '229582512.bv.36._.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.S', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.S', 'subgroup_fusion': None, 'weyl_group': None}
    • id: 169666990
      {'ambient': '229582512.bv', 'aut_centralizer_order': None, 'aut_label': None, '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': None, 'coset_action_label': None, 'count': 36, 'diagramx': None, 'generators': [79879107, 526261673867387065200240040673360640, 3259463771513309810601995901955900797, 418802673724860340371536788, 9146650338351415815045120000144, 79833744, 275959908438394945924160054153562284046120, 2554547108585552640, 79833603, 303092991877858008887408931665763390001, 17683523987479404620462088192144, 271353675587898429002786847885930384, 20666295932772289886309320141709064153600, 20666567286448684340687112843838214253364, 180519391136294408791681360199792842901764], 'label': '229582512.bv.36._.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.T', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.T', 'subgroup_fusion': None, 'weyl_group': None}
    • id: 169666991
      {'ambient': '229582512.bv', 'aut_centralizer_order': None, 'aut_label': None, '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': None, 'coset_action_label': None, 'count': 36, 'diagramx': None, 'generators': [526261673867387065200240040673360640, 3259463771513309810601995901955900797, 418802673724860340371536788, 9146650338351415815045120000144, 80880, 79833744, 275959908438394945924160054153562284046120, 2554547108585552640, 303092991877858008887408931665763390001, 319115708207627621346962922021644521670664, 255296328255981386745863397942367920977733, 17683523987479404620462088192144, 271353675587898429002786847885930384, 20666295932772289886309320141709064153600, 20666567286448684340687112843838214253364], 'label': '229582512.bv.36._.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.U', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.U', 'subgroup_fusion': None, 'weyl_group': None}
    • id: 169666992
      {'ambient': '229582512.bv', 'aut_centralizer_order': None, 'aut_label': None, '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': None, 'coset_action_label': None, 'count': 36, 'diagramx': None, 'generators': [526261673867387065200240040673360640, 3259463771513309810601995901955900797, 418802673724860340371536788, 9146650338351415815045120000144, 80880, 79833744, 275959908438394945924160054153562284046120, 2554547108585552640, 303092991877858008887408931665763390001, 255296328255981386745863397942367920977733, 17683523987479404620462088192144, 271353675587898429002786847885930384, 20666295932772289886309320141709064153600, 319115708207627621346962922021644521635387, 20666567286448684340687112843838214253364], 'label': '229582512.bv.36._.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.V', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.V', 'subgroup_fusion': None, 'weyl_group': None}
    • id: 169666993
      {'ambient': '229582512.bv', 'aut_centralizer_order': None, 'aut_label': None, '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': None, 'coset_action_label': None, 'count': 36, 'diagramx': None, 'generators': [526261673867387065200240040673360640, 3259463771513309810601995901955900797, 418802673724860340371536788, 9146650338351415815045120000144, 80880, 79833744, 275959908438394945924160054153562284046120, 2554547108585552640, 303092991877858008887408931665763390001, 255296328255981386745863397942367920977733, 17683523987479404620462088192144, 319115708207627621346962922021644521716028, 271353675587898429002786847885930384, 20666295932772289886309320141709064153600, 20666567286448684340687112843838214253364], 'label': '229582512.bv.36._.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.W', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.W', 'subgroup_fusion': None, 'weyl_group': None}
    • id: 169666994
      {'ambient': '229582512.bv', 'aut_centralizer_order': None, 'aut_label': None, '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': None, 'coset_action_label': None, 'count': 36, 'diagramx': None, 'generators': [79879107, 526261673867387065200240040673360640, 3259463771513309810601995901955900797, 418802673724860340371536788, 9146650338351415815045120000144, 79833744, 275959908438394945924160054153562284046120, 2554547108585552640, 79833603, 303092991877858008887408931665763390001, 319115708207627621346962922021644521670664, 17683523987479404620462088192144, 271353675587898429002786847885930384, 20666295932772289886309320141709064153600, 20666567286448684340687112843838214253364], 'label': '229582512.bv.36._.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.X', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.X', 'subgroup_fusion': None, 'weyl_group': None}
    • id: 169666995
      {'ambient': '229582512.bv', 'aut_centralizer_order': None, 'aut_label': None, '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': None, 'coset_action_label': None, 'count': 36, 'diagramx': None, 'generators': [526261673867387065200240040673360640, 3259463771513309810601995901955900797, 418802673724860340371536788, 9146650338351415815045120000144, 80880, 79833744, 275959908438394945924160054153562284046120, 2554547108585552640, 303092991877858008887408931665763390001, 255296328255981386745863397942367920977733, 17683523987479404620462088192144, 271353675587898429002786847885930384, 20666295932772289886309320141709064153600, 180519391136294408791681360199792842901763, 20666567286448684340687112843838214253364], 'label': '229582512.bv.36._.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.Y', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.Y', 'subgroup_fusion': None, 'weyl_group': None}
    • id: 169666996
      {'ambient': '229582512.bv', 'aut_centralizer_order': None, 'aut_label': None, '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': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [79879107, 526261673867387065200240040673360640, 3259463771513309810601995901955900797, 418802673724860340371536788, 9146650338351415815045120000144, 79833744, 275959908438394945924160054153562284046120, 2554547108585552640, 79833603, 255296328255981386745863397942367920977733, 17683523987479404620462088192144, 3, 271353675587898429002786847885930384, 20666295932772289886309320141709064153600, 180519391136294408791681360199792842901763, 20666567286448684340687112843838214253364], 'label': '229582512.bv.8._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.A', 'subgroup_fusion': None, 'weyl_group': None}
    • id: 169666997
      {'ambient': '229582512.bv', 'aut_centralizer_order': None, 'aut_label': None, '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': None, 'coset_action_label': None, 'count': 36, 'diagramx': None, 'generators': [526261673867387065200240040673360640, 3259463771513309810601995901955900797, 418802673724860340371536788, 180519391136294408791681360911167699093764, 9146650338351415815045120000144, 80880, 79833744, 275959908438394945924160054153562284046120, 2554547108585552640, 303092991877858008887408931665763390001, 255296328255981386745863397942367920977733, 17683523987479404620462088192144, 271353675587898429002786847885930384, 20666295932772289886309320141709064153600, 20666567286448684340687112843838214253364], 'label': '229582512.bv.36._.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.Z', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.Z', 'subgroup_fusion': None, 'weyl_group': None}
    • id: 169666998
      {'ambient': '229582512.bv', 'aut_centralizer_order': None, 'aut_label': None, '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': None, 'coset_action_label': None, 'count': 36, 'diagramx': None, 'generators': [526261673867387065200240040673360640, 3259463771513309810601995901955900797, 418802673724860340371536788, 9146650338351415815045120000144, 80880, 79833744, 275959908438394945924160054153562284046120, 2554547108585552640, 303092991877858008887408931665763390001, 255296328255981386745863397942367920977733, 17683523987479404620462088192144, 271353675587898429002786847885930384, 20666295932772289886309320141709064153600, 180519391136294408791681360534557481109760, 20666567286448684340687112843838214253364], 'label': '229582512.bv.36._.BA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.BA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.BA', 'subgroup_fusion': None, 'weyl_group': None}
    • id: 169666999
      {'ambient': '229582512.bv', 'aut_centralizer_order': None, 'aut_label': None, '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': None, 'coset_action_label': None, 'count': 36, 'diagramx': None, 'generators': [79879107, 526261673867387065200240040673360640, 3259463771513309810601995901955900797, 418802673724860340371536788, 9146650338351415815045120000144, 79833744, 275959908438394945924160054153562284046120, 2554547108585552640, 79833603, 303092991877858008887408931665763390001, 17683523987479404620462088192144, 271353675587898429002786847885930384, 20666295932772289886309320141709064153600, 180519391136294408791681360199792842901763, 20666567286448684340687112843838214253364], 'label': '229582512.bv.36._.BB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.BB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.BB', 'subgroup_fusion': None, 'weyl_group': None}
    • id: 169667000
      {'ambient': '229582512.bv', 'aut_centralizer_order': None, 'aut_label': None, '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': None, 'coset_action_label': None, 'count': 36, 'diagramx': None, 'generators': [43591203, 418802673724860340371536788, 526261673867387065200240040673360640, 3259463771125554287534732359724860797, 9146650338351415815045120000144, 80880, 275959908438394945924160054153562284046120, 2554547108585552640, 303092991877858008887408931665763390001, 255296328255981386745863397942367920977733, 17683523987479404620462088192144, 3, 271353675587898429002786847885930384, 20666295932772289886309320141709064153600, 20666567286448684340687112843838214253364], 'label': '229582512.bv.36._.BC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.BC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.BC', 'subgroup_fusion': None, 'weyl_group': None}
    • id: 169667001
      {'ambient': '229582512.bv', 'aut_centralizer_order': None, 'aut_label': None, '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': None, 'coset_action_label': None, 'count': 36, 'diagramx': None, 'generators': [79879107, 526261673867387065200240040673360640, 3259463771513309810601995901955900797, 418802673724860340371536788, 9146650338351415815045120000144, 79833744, 275959908438394945924160054153562284046120, 2554547108585552640, 79833603, 303092991877858008887408931665763390001, 17683523987479404620462088192144, 3, 271353675587898429002786847885930384, 20666295932772289886309320141709064153600, 20666567286448684340687112843838214253364], 'label': '229582512.bv.36._.BD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.BD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.BD', 'subgroup_fusion': None, 'weyl_group': None}
    • id: 169667002
      {'ambient': '229582512.bv', 'aut_centralizer_order': None, 'aut_label': None, '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': None, 'coset_action_label': None, 'count': 36, 'diagramx': None, 'generators': [526261673867387065200240040673360640, 3259463771513309810601995901955900797, 418802673724860340371536788, 9146650338351415815045120000144, 80880, 79833744, 275959908438394945924160054153562284046120, 2554547108585552640, 303092991877858008887408931665763390001, 255296328255981386745863397942367920977733, 17683523987479404620462088192144, 3, 271353675587898429002786847885930384, 20666295932772289886309320141709064153600, 20666567286448684340687112843838214253364], 'label': '229582512.bv.36._.BE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.BE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.BE', 'subgroup_fusion': None, 'weyl_group': None}
    • id: 169667003
      {'ambient': '229582512.bv', 'aut_centralizer_order': None, 'aut_label': None, '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': None, 'coset_action_label': None, 'count': 36, 'diagramx': None, 'generators': [526261673867387065200240040673360640, 3259463771513309810601995901955900797, 418802673724860340371536788, 9146650338351415815045120000144, 80880, 79833744, 275959908438394945924160054153562284046120, 2554547108585552640, 303092991877858008887408931665763390001, 17683523987479404620462088192144, 3, 271353675587898429002786847885930384, 20666295932772289886309320141709064153600, 180519391136294408791681360199792842901763, 20666567286448684340687112843838214253364], 'label': '229582512.bv.36._.BF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.BF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.BF', 'subgroup_fusion': None, 'weyl_group': None}
    • id: 169667004
      {'ambient': '229582512.bv', 'aut_centralizer_order': None, 'aut_label': None, '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': None, 'coset_action_label': None, 'count': 36, 'diagramx': None, 'generators': [526261673867387065200240040673360640, 3259463771513309810601995901955900797, 418802673724860340371536788, 9146650338351415815045120000144, 80880, 79833744, 275959908438394945924160054153562284046120, 2554547108585552640, 303092991877858008887408931665763390001, 17683523987479404620462088192144, 79833604, 271353675587898429002786847885930384, 20666295932772289886309320141709064153600, 180519391136294408791681360199792842901763, 20666567286448684340687112843838214253364], 'label': '229582512.bv.36._.BG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.BG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.BG', 'subgroup_fusion': None, 'weyl_group': None}
    • id: 169667005
      {'ambient': '229582512.bv', 'aut_centralizer_order': None, 'aut_label': None, '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': None, 'coset_action_label': None, 'count': 36, 'diagramx': None, 'generators': [526261673867387065200240040673360640, 3259463771513309810601995901955900797, 418802673724860340371536788, 43545600, 9146650338351415815045120000144, 80880, 79833744, 275959908438394945924160054153562284046120, 2554547108585552640, 303092991877858008887408931665763390001, 17683523987479404620462088192144, 271353675587898429002786847885930384, 20666295932772289886309320141709064153600, 180519391136294408791681360199792842901763, 20666567286448684340687112843838214253364], 'label': '229582512.bv.36._.BH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.BH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.BH', 'subgroup_fusion': None, 'weyl_group': None}
    • id: 169667006
      {'ambient': '229582512.bv', 'aut_centralizer_order': None, 'aut_label': None, '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': None, 'coset_action_label': None, 'count': 36, 'diagramx': None, 'generators': [255296056902305798874410413375577455589638, 3259463771513309810601995901955900797, 526261673867387065200240040673360640, 43545600, 9146650338351415815045120000144, 80880, 79833744, 275959908438394945924160054153562284046120, 2554547108585552640, 17683523987479404620462088192144, 302838092416870945076663634146434110005, 271353675587898429002786847885930384, 159853095203521312349420938509458877995520, 20666295932772289886309320141709064153600, 20666567286448684340687112843838214253364], 'label': '229582512.bv.36._.BI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.BI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.BI', 'subgroup_fusion': None, 'weyl_group': None}
    • id: 169667007
      {'ambient': '229582512.bv', 'aut_centralizer_order': None, 'aut_label': None, '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': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [79879107, 526261673867387065200240040673360640, 418802673724860340371536788, 9146650338351415815045120000144, 79833744, 275959908438394945924160054153562284046120, 2554547108585552640, 79833603, 303092991877858008887408931665763390001, 255296328255981386745863397942367920977733, 17683523987479404620462088192144, 3, 271353675587898429002786847885930384, 20666295932772289886309320141709064153600, 180519391136294408791681360199792842901763, 20666567286448684340687112843838214253364], 'label': '229582512.bv.8._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.B', 'subgroup_fusion': None, 'weyl_group': None}
    • id: 169667008
      {'ambient': '229582512.bv', 'aut_centralizer_order': None, 'aut_label': None, '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': None, 'coset_action_label': None, 'count': 36, 'diagramx': None, 'generators': [526261673867387065200240040673360640, 3259463771513309810601995901955900797, 418802673724860340371536788, 43545600, 180519391136294408791681360911167699093764, 9146650338351415815045120000144, 80880, 79833744, 275959908438394945924160054153562284046120, 2554547108585552640, 303092991877858008887408931665763390001, 17683523987479404620462088192144, 271353675587898429002786847885930384, 20666295932772289886309320141709064153600, 20666567286448684340687112843838214253364], 'label': '229582512.bv.36._.BJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.BJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.BJ', 'subgroup_fusion': None, 'weyl_group': None}
    • id: 169667009
      {'ambient': '229582512.bv', 'aut_centralizer_order': None, 'aut_label': None, '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': None, 'coset_action_label': None, 'count': 36, 'diagramx': None, 'generators': [80880, 2554547108585552640, 255296583163979666261470748146285462562610, 302838092416870945076663634146434110005, 79833744, 169891010370868271940913453142242713752880, 43545600, 526261673867387065200240040673360640, 20666567286448684340687112843838214253364, 271353675587898429002786847885930384, 20666295932772289886309320141709064153600, 3259463771513309810601995901955900797, 275960179801217602936633313591896244238268, 9146650338351415815045120000144, 17683523987479404620462088192144], 'label': '229582512.bv.36._.BK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.BK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.BK', 'subgroup_fusion': None, 'weyl_group': None}
    • id: 169667010
      {'ambient': '229582512.bv', 'aut_centralizer_order': None, 'aut_label': None, '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': None, 'coset_action_label': None, 'count': 36, 'diagramx': None, 'generators': [3259463771513309810601995901955900797, 418802673724860340371536788, 526261673867387065200240040673360640, 180519391136294408791681360911167699093764, 9146650338351415815045120000144, 80880, 79833744, 275959908438394945924160054153562284046120, 2554547108585552640, 303092991877858008887408931665763390001, 17683523987479404620462088192144, 3, 271353675587898429002786847885930384, 20666295932772289886309320141709064153600, 20666567286448684340687112843838214253364], 'label': '229582512.bv.36._.BL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.BL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.BL', 'subgroup_fusion': None, 'weyl_group': None}
    • id: 169667011
      {'ambient': '229582512.bv', 'aut_centralizer_order': None, 'aut_label': None, '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': None, 'coset_action_label': None, 'count': 36, 'diagramx': None, 'generators': [526261673867387065200240040673360640, 3259463771513309810601995901955900797, 418802673724860340371536788, 180519391136294408791681360911167699093764, 9146650338351415815045120000144, 80880, 79833744, 275959908438394945924160054153562284046120, 2554547108585552640, 303092991877858008887408931665763390001, 17683523987479404620462088192144, 79833604, 271353675587898429002786847885930384, 20666295932772289886309320141709064153600, 20666567286448684340687112843838214253364], 'label': '229582512.bv.36._.BM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.BM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.BM', 'subgroup_fusion': None, 'weyl_group': None}
    • id: 169667012
      {'ambient': '229582512.bv', 'aut_centralizer_order': None, 'aut_label': None, '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': None, 'coset_action_label': None, 'count': 36, 'diagramx': None, 'generators': [526261673867387065200240040673360640, 3259463771513309810601995901955900797, 418802673724860340371536788, 9146650338351415815045120000144, 80880, 79833744, 275959908438394945924160054153562284046120, 2554547108585552640, 303092991877858008887408931665763390001, 17683523987479404620462088192144, 79833604, 271353675587898429002786847885930384, 20666295932772289886309320141709064153600, 180519391136294408791681360534557481109760, 20666567286448684340687112843838214253364], 'label': '229582512.bv.36._.BN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.BN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.BN', 'subgroup_fusion': None, 'weyl_group': None}
    • id: 169667013
      {'ambient': '229582512.bv', 'aut_centralizer_order': None, 'aut_label': None, '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': None, 'coset_action_label': None, 'count': 36, 'diagramx': None, 'generators': [526261673867387065200240040673360640, 3259463771513309810601995901955900797, 418802673724860340371536788, 43545600, 9146650338351415815045120000144, 80880, 79833744, 275959908438394945924160054153562284046120, 2554547108585552640, 303092991877858008887408931665763390001, 17683523987479404620462088192144, 271353675587898429002786847885930384, 20666295932772289886309320141709064153600, 180519391136294408791681360534557481109760, 20666567286448684340687112843838214253364], 'label': '229582512.bv.36._.BO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.BO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.BO', 'subgroup_fusion': None, 'weyl_group': None}
    • id: 169667014
      {'ambient': '229582512.bv', 'aut_centralizer_order': None, 'aut_label': None, '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': None, 'coset_action_label': None, 'count': 36, 'diagramx': None, 'generators': [526261673867387065200240040673360640, 3259463771513309810601995901955900797, 43545600, 9146650338351415815045120000144, 80880, 79833744, 275960434691532746245009787902799306766027, 2554547108585552640, 255296328255981386745863397942367920977733, 17683523987479404620462088192144, 302838092416870945076663634146434110005, 271353675587898429002786847885930384, 20666295932772289886309320141709064153600, 180519391136294408791681360534557481109760, 20666567286448684340687112843838214253364], 'label': '229582512.bv.36._.BP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.BP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.BP', 'subgroup_fusion': None, 'weyl_group': None}
    • id: 169667015
      {'ambient': '229582512.bv', 'aut_centralizer_order': None, 'aut_label': None, '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': None, 'coset_action_label': None, 'count': 36, 'diagramx': None, 'generators': [3259463771513309810601995901955900797, 418802673724860340371536788, 526261673867387065200240040673360640, 9146650338351415815045120000144, 80880, 79833744, 275959908438394945924160054153562284046120, 2554547108585552640, 303092991877858008887408931665763390001, 17683523987479404620462088192144, 3, 271353675587898429002786847885930384, 20666295932772289886309320141709064153600, 180519391136294408791681360534557481109760, 20666567286448684340687112843838214253364], 'label': '229582512.bv.36._.BQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.BQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.BQ', 'subgroup_fusion': None, 'weyl_group': None}
    • id: 169667016
      {'ambient': '229582512.bv', 'aut_centralizer_order': None, 'aut_label': None, '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': None, 'coset_action_label': None, 'count': 36, 'diagramx': None, 'generators': [79879107, 526261673867387065200240040673360640, 3259463771513309810601995901955900797, 418802673724860340371536788, 297541220151341117815598236878574401047283, 9146650338351415815045120000144, 79833744, 2554547108585552640, 79833603, 303092991877858008887408931665763390001, 17683523987479404620462088192144, 3, 271353675587898429002786847885930384, 20666295932772289886309320141709064153600, 20666567286448684340687112843838214253364], 'label': '229582512.bv.36._.BR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.BR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.BR', 'subgroup_fusion': None, 'weyl_group': None}
    • id: 169667017
      {'ambient': '229582512.bv', 'aut_centralizer_order': None, 'aut_label': None, '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': None, 'coset_action_label': None, 'count': 36, 'diagramx': None, 'generators': [3259463771513309810601995901955900797, 526261673867387065200240040673360640, 806582927119726662457351204, 9146650338351415815045120000144, 79833744, 275959908438394945924160054153562284046120, 2554547108585552640, 17683523987479404620462088192144, 302838092416870945076663634146434110005, 806582927119726662457386244, 806582927119726662377517604, 271353675587898429002786847885930384, 159853095203521312349420938509458877995520, 20666295932772289886309320141709064153600, 20666567286448684340687112843838214253364], 'label': '229582512.bv.36._.BS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.BS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.BS', 'subgroup_fusion': None, 'weyl_group': None}
    • id: 169667018
      {'ambient': '229582512.bv', 'aut_centralizer_order': None, 'aut_label': None, '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': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [79879107, 418802673724860340371536788, 526261673867387065200240040673360640, 9146650338351415815045120000144, 79833744, 275959908438394945924160054153562284046120, 2554547108585552640, 79833603, 255296328255981386745863397942367920977733, 17683523987479404620462088192144, 3, 271353675587898429002786847885930384, 20666295932772289886309320141709064153600, 180519391136294408791681360199792842901763, 20666567286448684340687112843838214253364, 299315506958397969308942596227933672965], 'label': '229582512.bv.8._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.C', 'subgroup_fusion': None, 'weyl_group': None}
    • id: 169667019
      {'ambient': '229582512.bv', 'aut_centralizer_order': None, 'aut_label': None, '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': None, 'coset_action_label': None, 'count': 36, 'diagramx': None, 'generators': [3259463771513309810601995901955900797, 526261673867387065200240040673360640, 806582927119726662457351204, 9146650338351415815045120000144, 79833744, 275960434691532746245009787902799306766027, 169891010370868271940913452430867857560884, 2554547108585552640, 17683523987479404620462088192144, 302838092416870945076663634146434110005, 806582927119726662457386244, 806582927119726662377517604, 271353675587898429002786847885930384, 20666295932772289886309320141709064153600, 20666567286448684340687112843838214253364], 'label': '229582512.bv.36._.BT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.BT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.BT', 'subgroup_fusion': None, 'weyl_group': None}
    • id: 169667020
      {'ambient': '229582512.bv', 'aut_centralizer_order': None, 'aut_label': None, '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': None, 'coset_action_label': None, 'count': 36, 'diagramx': None, 'generators': [526261673867387065200240040673360640, 3259463771513309810601995901955900797, 806582927119726662457351204, 9146650338351415815045120000144, 79833744, 2554547108585552640, 17683523987479404620462088192144, 302838092416870945076663634146434110005, 806582927119726662457386244, 271353675587898429002786847885930384, 806582927119726662377517604, 275960179801217602936633313591896244238268, 20666295932772289886309320141709064153600, 180519391136294408791681360199792842901763, 20666567286448684340687112843838214253364], 'label': '229582512.bv.36._.BU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.BU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.BU', 'subgroup_fusion': None, 'weyl_group': None}
    • id: 169667021
      {'ambient': '229582512.bv', 'aut_centralizer_order': None, 'aut_label': None, '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': None, 'coset_action_label': '36T83688', 'count': 36, 'diagramx': None, 'generators': [79879107, 526261673867387065200240040673360640, 3259463771513309810601995901955900797, 418802673724860340371536788, 9146650338351415815045120000144, 79833744, 275959908438394945924160054153562284046120, 2554547108585552640, 79833603, 303092991877858008887408931665763390001, 17683523987479404620462088192144, 3, 271353675587898429002786847885930384, 20666295932772289886309320141709064153600, 180519391136294408791681360199792842901763], 'label': '229582512.bv.36._.BV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.BV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.BV', 'subgroup_fusion': None, 'weyl_group': None}
    • id: 169667022
      {'ambient': '229582512.bv', 'aut_centralizer_order': None, 'aut_label': None, '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': None, 'coset_action_label': '36T83688', 'count': 36, 'diagramx': None, 'generators': [79879107, 20666567286448684340687112843838214253360, 526261673867387065200240040673360640, 3259463771513309810601995901955900797, 418802673724860340371536788, 9146650338351415815045120000144, 79833744, 275959908438394945924160054153562284046120, 2554547108585552640, 79833603, 303092991877858008887408931665763390001, 17683523987479404620462088192144, 271353675587898429002786847885930384, 20666295932772289886309320141709064153600, 180519391136294408791681360199792842901763], 'label': '229582512.bv.36._.BW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.BW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.BW', 'subgroup_fusion': None, 'weyl_group': None}
    • id: 169667023
      {'ambient': '229582512.bv', 'aut_centralizer_order': None, 'aut_label': None, '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': None, 'coset_action_label': '36T83688', 'count': 36, 'diagramx': None, 'generators': [2554547108585552640, 79833744, 180519391136294408791681360199792842901763, 303092991877858008887408931665763390001, 79879107, 526261673867387065200240040673360640, 418802673724860340371536788, 79833603, 271353675587898429002786847885930384, 20666295932772289886309320141709064153600, 3259463771513309810601995901955900797, 10628907027100035311954673601692363498244, 275959908438394945924160054153562284046120, 9146650338351415815045120000144, 17683523987479404620462088192144], 'label': '229582512.bv.36._.BX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.BX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.BX', 'subgroup_fusion': None, 'weyl_group': None}
    • id: 169667024
      {'ambient': '229582512.bv', 'aut_centralizer_order': None, 'aut_label': None, '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': None, 'coset_action_label': '36T83688', 'count': 36, 'diagramx': None, 'generators': [79879107, 526261673867387065200240040673360640, 3259463771513309810601995901955900797, 418802673724860340371536788, 9146650338351415815045120000144, 79833744, 10628907027100035311954673601692363498244, 159853095212058604749520929577918134562800, 275959908438394945924160054153562284046120, 2554547108585552640, 79833603, 303092991877858008887408931665763390001, 17683523987479404620462088192144, 271353675587898429002786847885930384, 20666295932772289886309320141709064153600], 'label': '229582512.bv.36._.BY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.BY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.BY', 'subgroup_fusion': None, 'weyl_group': None}
    • id: 169667025
      {'ambient': '229582512.bv', 'aut_centralizer_order': None, 'aut_label': None, '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': None, 'coset_action_label': '36T83688', 'count': 36, 'diagramx': None, 'generators': [79879107, 526261673867387065200240040673360640, 3259463771513309810601995901955900797, 418802673724860340371536788, 9146650338351415815045120000144, 79833744, 159853095212058604749520929577918134562800, 275959908438394945924160054153562284046120, 2554547108585552640, 79833603, 303092991877858008887408931665763390001, 17683523987479404620462088192144, 3, 271353675587898429002786847885930384, 20666295932772289886309320141709064153600], 'label': '229582512.bv.36._.BZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.BZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.BZ', 'subgroup_fusion': None, 'weyl_group': None}
    • id: 169667026
      {'ambient': '229582512.bv', 'aut_centralizer_order': None, 'aut_label': None, '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': None, 'coset_action_label': '36T83688', 'count': 36, 'diagramx': None, 'generators': [79879107, 20666567286448684340687112843838214253360, 526261673867387065200240040673360640, 3259463771513309810601995901955900797, 418802673724860340371536788, 9146650338351415815045120000144, 79833744, 159853095212058604749520929577918134562800, 275959908438394945924160054153562284046120, 2554547108585552640, 79833603, 303092991877858008887408931665763390001, 17683523987479404620462088192144, 271353675587898429002786847885930384, 20666295932772289886309320141709064153600], 'label': '229582512.bv.36._.CA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.CA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.CA', 'subgroup_fusion': None, 'weyl_group': None}
    • id: 169667027
      {'ambient': '229582512.bv', 'aut_centralizer_order': None, 'aut_label': None, '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': None, 'coset_action_label': '36T83688', 'count': 36, 'diagramx': None, 'generators': [79879107, 20666567286448684340687112843838214253360, 526261673867387065200240040673360640, 3259463771513309810601995901955900797, 418802673724860340371536788, 9146650338351415815045120000144, 79833744, 275959908438394945924160054153562284046120, 2554547108585552640, 169891010361721202775165405550060465916308, 79833603, 303092991877858008887408931665763390001, 17683523987479404620462088192144, 271353675587898429002786847885930384, 20666295932772289886309320141709064153600], 'label': '229582512.bv.36._.CB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.CB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.CB', 'subgroup_fusion': None, 'weyl_group': None}
    • id: 169667028
      {'ambient': '229582512.bv', 'aut_centralizer_order': None, 'aut_label': None, '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': None, 'coset_action_label': '36T83688', 'count': 36, 'diagramx': None, 'generators': [2554547108585552640, 79833744, 303092991877858008887408931665763390001, 79879107, 526261673867387065200240040673360640, 418802673724860340371536788, 79833603, 271353675587898429002786847885930384, 20666295932772289886309320141709064153600, 3259463771513309810601995901955900797, 10628907027100035311954673601692363498244, 169891010361721202775165405550060465916308, 275959908438394945924160054153562284046120, 9146650338351415815045120000144, 17683523987479404620462088192144], 'label': '229582512.bv.36._.CC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.CC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.CC', 'subgroup_fusion': None, 'weyl_group': None}
    • id: 169667029
      {'ambient': '229582512.bv', 'aut_centralizer_order': None, 'aut_label': None, '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': None, 'coset_action_label': None, 'count': 9, 'diagramx': None, 'generators': [79879107, 418802673724860340371536788, 3259463771513309810601995901955900797, 526261673867387065200240040673360640, 212433834663304851603484602739781158832069, 9146650338351415815045120000144, 79833744, 275959908438394945924160054153562284046120, 2554547108585552640, 79833603, 303092991877858008887408931665763390001, 255296328255981386745863397942367920977733, 17683523987479404620462088192144, 308168786316381748351716873103799912122196, 271353675587898429002786847885930384, 20666295932772289886309320141709064153600, 20666567286448684340687112843838214253364], 'label': '229582512.bv.9._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '9.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9._.A', 'subgroup_fusion': None, 'weyl_group': None}
    • id: 169667030
      {'ambient': '229582512.bv', 'aut_centralizer_order': None, 'aut_label': None, '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': None, 'coset_action_label': '36T83688', 'count': 36, 'diagramx': None, 'generators': [79879107, 526261673867387065200240040673360640, 3259463771513309810601995901955900797, 418802673724860340371536788, 9146650338351415815045120000144, 79833744, 275959908438394945924160054153562284046120, 2554547108585552640, 169891010361721202775165405550060465916308, 79833603, 303092991877858008887408931665763390001, 17683523987479404620462088192144, 3, 271353675587898429002786847885930384, 20666295932772289886309320141709064153600], 'label': '229582512.bv.36._.CD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.CD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.CD', 'subgroup_fusion': None, 'weyl_group': None}
    • id: 169667031
      {'ambient': '229582512.bv', 'aut_centralizer_order': None, 'aut_label': None, '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': None, 'coset_action_label': '36T83688', 'count': 36, 'diagramx': None, 'generators': [418802673724860340371536788, 3259463771513309810601995901955900797, 526261673867387065200240040673360640, 9146650338351415815045120000144, 79833744, 275959908438394945924160054153562284046120, 2554547108585552640, 169891010361721202775165405550060465916308, 303092991877858008887408931665763390001, 17683523987479404620462088192144, 3, 20666567286448684340687112843838177965360, 271353675587898429002786847885930384, 20666295932772289886309320141709064153600, 20666567286448684340687112843838178000784], 'label': '229582512.bv.36._.CE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.CE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.CE', 'subgroup_fusion': None, 'weyl_group': None}
    • id: 169667032
      {'ambient': '229582512.bv', 'aut_centralizer_order': None, 'aut_label': None, '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': None, 'coset_action_label': '36T83688', 'count': 36, 'diagramx': None, 'generators': [20666567286448684340687112843838214253360, 418802673724860340371536788, 3259463771513309810601995901955900797, 526261673867387065200240040673360640, 9146650338351415815045120000144, 79833744, 275959908438394945924160054153562284046120, 2554547108585552640, 169891010361721202775165405550060465916308, 303092991877858008887408931665763390001, 17683523987479404620462088192144, 20666567286448684340687112843838177965360, 271353675587898429002786847885930384, 20666295932772289886309320141709064153600, 20666567286448684340687112843838178000784], 'label': '229582512.bv.36._.CF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.CF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.CF', 'subgroup_fusion': None, 'weyl_group': None}
    • id: 169667033
      {'ambient': '229582512.bv', 'aut_centralizer_order': None, 'aut_label': None, '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': None, 'coset_action_label': '36T83688', 'count': 36, 'diagramx': None, 'generators': [526261673867387065200240040673360640, 3259463771513309810601995901955900797, 418802673724860340371536788, 9146650338351415815045120000144, 79833744, 10628907027100035311954673601692363498244, 275959908438394945924160054153562284046120, 2554547108585552640, 169891010361721202775165405550060465916308, 303092991877858008887408931665763390001, 17683523987479404620462088192144, 20666567286448684340687112843838177965360, 271353675587898429002786847885930384, 20666295932772289886309320141709064153600, 20666567286448684340687112843838178000784], 'label': '229582512.bv.36._.CG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.CG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.CG', 'subgroup_fusion': None, 'weyl_group': None}
    • id: 169667034
      {'ambient': '229582512.bv', 'aut_centralizer_order': None, 'aut_label': None, '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': None, 'coset_action_label': '36T83688', 'count': 36, 'diagramx': None, 'generators': [526261673867387065200240040673360640, 3259463771513309810601995901955900797, 418802673724860340371536788, 9146650338351415815045120000144, 79833744, 10628907027100035311954673601692363498244, 275959908438394945924160054153562284046120, 2554547108585552640, 303092991877858008887408931665763390001, 17683523987479404620462088192144, 20666567286448684340687112843838177965360, 271353675587898429002786847885930384, 20666295932772289886309320141709064153600, 20666567286448684340687112843838178000784, 180519391136294408791681360199792842901763], 'label': '229582512.bv.36._.CH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.CH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.CH', 'subgroup_fusion': None, 'weyl_group': None}
    • id: 169667035
      {'ambient': '229582512.bv', 'aut_centralizer_order': None, 'aut_label': None, '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': None, 'coset_action_label': '36T83688', 'count': 36, 'diagramx': None, 'generators': [418802673724860340371536788, 3259463771513309810601995901955900797, 526261673867387065200240040673360640, 9146650338351415815045120000144, 79833744, 275959908438394945924160054153562284046120, 2554547108585552640, 303092991877858008887408931665763390001, 17683523987479404620462088192144, 3, 20666567286448684340687112843838177965360, 271353675587898429002786847885930384, 20666295932772289886309320141709064153600, 20666567286448684340687112843838178000784, 180519391136294408791681360199792842901763], 'label': '229582512.bv.36._.CI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.CI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.CI', 'subgroup_fusion': None, 'weyl_group': None}
    • id: 169667036
      {'ambient': '229582512.bv', 'aut_centralizer_order': None, 'aut_label': None, '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': None, 'coset_action_label': '36T83688', 'count': 36, 'diagramx': None, 'generators': [20666567286448684340687112843838214253360, 418802673724860340371536788, 3259463771513309810601995901955900797, 526261673867387065200240040673360640, 9146650338351415815045120000144, 79833744, 275959908438394945924160054153562284046120, 2554547108585552640, 303092991877858008887408931665763390001, 17683523987479404620462088192144, 20666567286448684340687112843838177965360, 271353675587898429002786847885930384, 20666295932772289886309320141709064153600, 20666567286448684340687112843838178000784, 180519391136294408791681360199792842901763], 'label': '229582512.bv.36._.CJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.CJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.CJ', 'subgroup_fusion': None, 'weyl_group': None}
    • id: 169667037
      {'ambient': '229582512.bv', 'aut_centralizer_order': None, 'aut_label': None, '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': None, 'coset_action_label': '36T83688', 'count': 36, 'diagramx': None, 'generators': [20666567286448684340687112843838214253360, 418802673724860340371536788, 3259463771513309810601995901955900797, 526261673867387065200240040673360640, 9146650338351415815045120000144, 79833744, 159853095212058604749520929577918134562800, 275959908438394945924160054153562284046120, 2554547108585552640, 303092991877858008887408931665763390001, 17683523987479404620462088192144, 20666567286448684340687112843838177965360, 271353675587898429002786847885930384, 20666295932772289886309320141709064153600, 20666567286448684340687112843838178000784], 'label': '229582512.bv.36._.CK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.CK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.CK', 'subgroup_fusion': None, 'weyl_group': None}
    • id: 169667038
      {'ambient': '229582512.bv', 'aut_centralizer_order': None, 'aut_label': None, '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': None, 'coset_action_label': '36T83688', 'count': 36, 'diagramx': None, 'generators': [418802673724860340371536788, 3259463771513309810601995901955900797, 526261673867387065200240040673360640, 9146650338351415815045120000144, 79833744, 10628907027100035311954673601692363498244, 159853095212058604749520929577918134562800, 275959908438394945924160054153562284046120, 2554547108585552640, 303092991877858008887408931665763390001, 17683523987479404620462088192144, 20666567286448684340687112843838177965360, 271353675587898429002786847885930384, 20666295932772289886309320141709064153600, 20666567286448684340687112843838178000784], 'label': '229582512.bv.36._.CL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.CL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.CL', 'subgroup_fusion': None, 'weyl_group': None}
    • id: 169667039
      {'ambient': '229582512.bv', 'aut_centralizer_order': None, 'aut_label': None, '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': None, 'coset_action_label': '36T83688', 'count': 36, 'diagramx': None, 'generators': [418802673724860340371536788, 3259463771513309810601995901955900797, 526261673867387065200240040673360640, 9146650338351415815045120000144, 79833744, 159853095212058604749520929577918134562800, 275959908438394945924160054153562284046120, 2554547108585552640, 303092991877858008887408931665763390001, 17683523987479404620462088192144, 3, 20666567286448684340687112843838177965360, 271353675587898429002786847885930384, 20666295932772289886309320141709064153600, 20666567286448684340687112843838178000784], 'label': '229582512.bv.36._.CM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.CM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.CM', 'subgroup_fusion': None, 'weyl_group': None}
    • id: 169667040
      {'ambient': '229582512.bv', 'aut_centralizer_order': None, 'aut_label': None, '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': None, 'coset_action_label': None, 'count': 9, 'diagramx': None, 'generators': [79879107, 418802673724860340371536788, 526261673867387065200240040673360640, 9146650338351415815045120000144, 212433834671841725227884574822715901872069, 275959908438394945924160054153562284046120, 2554547108585552640, 79833603, 303092991877858008887408931665763390001, 255296328255981386745863397942367920977733, 17683523987479404620462088192144, 43545843, 3259463771513361514635850282127164797, 308169041224380027867324222596155786810196, 271353675587898429002786847885930384, 20666295932772289886309320141709064153600, 20666567286448684340687112843838214253364], 'label': '229582512.bv.9._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '9.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9._.B', 'subgroup_fusion': None, 'weyl_group': None}
    • id: 169667041
      {'ambient': '229582512.bv', 'aut_centralizer_order': None, 'aut_label': None, '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': None, 'coset_action_label': '36T83688', 'count': 36, 'diagramx': None, 'generators': [418802673724860340371536788, 3259463771513309810601995901955900797, 526261673867387065200240040673360640, 9146650338351415815045120000144, 79833744, 159853095212058604749520929577918134562800, 275959908438394945924160054153562284046120, 2554547108585552640, 303092991877858008887408931665763390001, 17683523987479404620462088192144, 3, 271353675587898429002786847885930384, 10628907027100035311954673601692319952644, 20666295932772289886309320141709064153600, 10628907027100035311954673601692319872148], 'label': '229582512.bv.36._.CN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.CN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.CN', 'subgroup_fusion': None, 'weyl_group': None}
    • id: 169667042
      {'ambient': '229582512.bv', 'aut_centralizer_order': None, 'aut_label': None, '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': None, 'coset_action_label': '36T83688', 'count': 36, 'diagramx': None, 'generators': [20666567286448684340687112843838214253360, 418802673724860340371536788, 3259463771513309810601995901955900797, 526261673867387065200240040673360640, 9146650338351415815045120000144, 79833744, 159853095212058604749520929577918134562800, 275959908438394945924160054153562284046120, 2554547108585552640, 303092991877858008887408931665763390001, 17683523987479404620462088192144, 271353675587898429002786847885930384, 10628907027100035311954673601692319952644, 20666295932772289886309320141709064153600, 10628907027100035311954673601692319872148], 'label': '229582512.bv.36._.CO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.CO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.CO', 'subgroup_fusion': None, 'weyl_group': None}
    • id: 169667043
      {'ambient': '229582512.bv', 'aut_centralizer_order': None, 'aut_label': None, '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': None, 'coset_action_label': '36T83688', 'count': 36, 'diagramx': None, 'generators': [418802673724860340371536788, 3259463771513309810601995901955900797, 526261673867387065200240040673360640, 9146650338351415815045120000144, 79833744, 10628907027100035311954673601692363498244, 159853095212058604749520929577918134562800, 275959908438394945924160054153562284046120, 2554547108585552640, 303092991877858008887408931665763390001, 17683523987479404620462088192144, 271353675587898429002786847885930384, 10628907027100035311954673601692319952644, 20666295932772289886309320141709064153600, 10628907027100035311954673601692319872148], 'label': '229582512.bv.36._.CP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.CP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.CP', 'subgroup_fusion': None, 'weyl_group': None}
    • id: 169667044
      {'ambient': '229582512.bv', 'aut_centralizer_order': None, 'aut_label': None, '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': None, 'coset_action_label': '36T83688', 'count': 36, 'diagramx': None, 'generators': [526261673867387065200240040673360640, 3259463771513309810601995901955900797, 418802673724860340371536788, 9146650338351415815045120000144, 79833744, 10628907027100035311954673601692363498244, 275959908438394945924160054153562284046120, 2554547108585552640, 169891010361721202775165405550060465916308, 303092991877858008887408931665763390001, 17683523987479404620462088192144, 271353675587898429002786847885930384, 10628907027100035311954673601692319952644, 20666295932772289886309320141709064153600, 10628907027100035311954673601692319872148], 'label': '229582512.bv.36._.CQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.CQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.CQ', 'subgroup_fusion': None, 'weyl_group': None}
    • id: 169667045
      {'ambient': '229582512.bv', 'aut_centralizer_order': None, 'aut_label': None, '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': None, 'coset_action_label': '36T83688', 'count': 36, 'diagramx': None, 'generators': [418802673724860340371536788, 3259463771513309810601995901955900797, 526261673867387065200240040673360640, 9146650338351415815045120000144, 79833744, 275959908438394945924160054153562284046120, 2554547108585552640, 169891010361721202775165405550060465916308, 303092991877858008887408931665763390001, 17683523987479404620462088192144, 3, 271353675587898429002786847885930384, 10628907027100035311954673601692319952644, 20666295932772289886309320141709064153600, 10628907027100035311954673601692319872148], 'label': '229582512.bv.36._.CR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.CR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.CR', 'subgroup_fusion': None, 'weyl_group': None}
    • id: 169667046
      {'ambient': '229582512.bv', 'aut_centralizer_order': None, 'aut_label': None, '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': None, 'coset_action_label': '36T83688', 'count': 36, 'diagramx': None, 'generators': [20666567286448684340687112843838214253360, 418802673724860340371536788, 3259463771513309810601995901955900797, 526261673867387065200240040673360640, 9146650338351415815045120000144, 79833744, 275959908438394945924160054153562284046120, 2554547108585552640, 169891010361721202775165405550060465916308, 303092991877858008887408931665763390001, 17683523987479404620462088192144, 271353675587898429002786847885930384, 10628907027100035311954673601692319952644, 20666295932772289886309320141709064153600, 10628907027100035311954673601692319872148], 'label': '229582512.bv.36._.CS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.CS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.CS', 'subgroup_fusion': None, 'weyl_group': None}
    • id: 169667047
      {'ambient': '229582512.bv', 'aut_centralizer_order': None, 'aut_label': None, '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': None, 'coset_action_label': '36T83688', 'count': 36, 'diagramx': None, 'generators': [20666567286448684340687112843838214253360, 418802673724860340371536788, 3259463771513309810601995901955900797, 526261673867387065200240040673360640, 9146650338351415815045120000144, 79833744, 275959908438394945924160054153562284046120, 2554547108585552640, 303092991877858008887408931665763390001, 17683523987479404620462088192144, 271353675587898429002786847885930384, 10628907027100035311954673601692319952644, 20666295932772289886309320141709064153600, 180519391136294408791681360199792842901763, 10628907027100035311954673601692319872148], 'label': '229582512.bv.36._.CT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.CT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.CT', 'subgroup_fusion': None, 'weyl_group': None}
    • id: 169667048
      {'ambient': '229582512.bv', 'aut_centralizer_order': None, 'aut_label': None, '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': None, 'coset_action_label': '36T83688', 'count': 36, 'diagramx': None, 'generators': [526261673867387065200240040673360640, 3259463771513309810601995901955900797, 418802673724860340371536788, 9146650338351415815045120000144, 79833744, 10628907027100035311954673601692363498244, 275959908438394945924160054153562284046120, 2554547108585552640, 303092991877858008887408931665763390001, 17683523987479404620462088192144, 271353675587898429002786847885930384, 10628907027100035311954673601692319952644, 20666295932772289886309320141709064153600, 180519391136294408791681360199792842901763, 10628907027100035311954673601692319872148], 'label': '229582512.bv.36._.CU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.CU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.CU', 'subgroup_fusion': None, 'weyl_group': None}
    • id: 169667049
      {'ambient': '229582512.bv', 'aut_centralizer_order': None, 'aut_label': None, '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': None, 'coset_action_label': None, 'count': 36, 'diagramx': None, 'generators': [526261673867387065200240040673360640, 3259463771513309810601995901955900797, 418802673724860340371536788, 9146650338351415815045120000144, 80880, 79833744, 275959908438394945924160054153562284046120, 2554547108585552640, 303092991877858008887408931665763390001, 255296328255981386745863397942367920977733, 17683523987479404620462088192144, 79833604, 271353675587898429002786847885930384, 20666295932772289886309320141709064153600, 20666567286448684340687112843838214253364], 'label': '229582512.bv.36._.CV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.CV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.CV', 'subgroup_fusion': None, 'weyl_group': None}
    • id: 169667050
      {'ambient': '229582512.bv', 'aut_centralizer_order': None, 'aut_label': None, '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': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [79879107, 526261673867387065200240040673360640, 418802673724860340371536788, 9146650338351415815045120000144, 79833744, 275959908438394945924160054153562284046120, 2554547108585552640, 79833603, 255296328255981386745863397942367920977733, 17683523987479404620462088192144, 3, 271353675587898429002786847885930384, 20666295932772289886309320141709064153600, 20666567286448684340687112843838214253364], 'label': '229582512.bv.48._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '48.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48._.A', 'subgroup_fusion': None, 'weyl_group': None}