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{'Agroup': False, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '32.21', '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': [[480445590912251800777331973907405017292279187760, 82637946751355846939948523742243424762463340890, 251219854132988798975110827188214834765376238856], [356404737934272885248537946984801123167550544109, 82637946751355846939948523742243424762463340890, 291988463069340626623965310382782054842271576244], [480445590912251783692293701685010602565874761680, 754707494565773979821204018925224416043857991010, 186266782215940146761511052279495244687004422316], [336006484154973263230011455895879556022691136596, 20425782492455053619616447544270134745990261693, 290942046431028202280497930280494121882648320770], [480445590912251774251642701227178259947486324503, 82637946751355846939948523742243424662870088944, 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'center_order': None, 'central_product': None, 'central_quotient': '51200000000.gt', 'commutator_count': None, 'commutator_label': None, 'complements_known': False, 'complete': False, 'complex_characters_known': False, 'composition_factors': ['2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '5.1', '5.1', '5.1', '5.1', '5.1', '5.1', '5.1', '5.1'], 'composition_length': 25, 'conjugacy_classes_known': False, 'counter': 176, 'cyclic': False, 'derived_length': 4, 'dihedral': False, 'direct_factorization': None, 'direct_product': None, 'div_stats': [[1, 1, 1, 1], [2, 100, 1, 3], [2, 200, 1, 2], [2, 1250, 1, 3], [2, 2500, 1, 2], [2, 5000, 1, 3], [2, 10000, 1, 2], [2, 62500, 1, 3], [2, 125000, 1, 2], [2, 160000, 1, 1], [2, 390625, 1, 1], [4, 100, 2, 2], [4, 200, 1, 1], [4, 1000, 2, 3], [4, 1250, 2, 3], [4, 2000, 1, 2], [4, 2000, 2, 2], [4, 2500, 1, 5], [4, 2500, 2, 6], [4, 5000, 1, 9], [4, 5000, 2, 10], [4, 10000, 1, 2], [4, 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2, 14], [20, 32000, 1, 8], [20, 32000, 2, 38], [20, 40000, 1, 2], [20, 40000, 2, 82], [20, 51200, 1, 1], [20, 51200, 2, 6], [20, 64000, 2, 6], [20, 80000, 1, 8], [20, 80000, 2, 42], [20, 100000, 2, 18], [20, 102400, 1, 2], [20, 102400, 2, 6], [20, 128000, 1, 8], [20, 128000, 2, 38], [20, 160000, 1, 24], [20, 160000, 2, 86], [20, 200000, 1, 8], [20, 200000, 2, 146], [20, 204800, 2, 5], [20, 256000, 2, 3], [20, 320000, 2, 31], [20, 400000, 2, 18], [20, 409600, 2, 4], [20, 500000, 2, 39], [20, 512000, 1, 6], [20, 512000, 2, 18], [20, 640000, 1, 7], [20, 640000, 2, 74], [20, 800000, 1, 8], [20, 800000, 2, 146], [20, 819200, 1, 1], [20, 1000000, 1, 6], [20, 1000000, 2, 156], [20, 1024000, 2, 3], [20, 1280000, 1, 9], [20, 1280000, 2, 10], [20, 1600000, 2, 18], [20, 2000000, 1, 11], [20, 2000000, 2, 36], [20, 2048000, 1, 2], [20, 2048000, 2, 2], [20, 2500000, 2, 27], [20, 2560000, 1, 2], [20, 2560000, 2, 10], [20, 3200000, 1, 4], [20, 3200000, 2, 42], [20, 4000000, 1, 22], [20, 4000000, 2, 44], [20, 5000000, 1, 2], [20, 5000000, 2, 52], [20, 6400000, 2, 6], [20, 25600000, 2, 6], [20, 32000000, 1, 6], [20, 64000000, 1, 2], [20, 102400000, 2, 2], [20, 128000000, 1, 2], [20, 160000000, 2, 2], [40, 16000, 2, 1], [40, 32000, 2, 2], [40, 64000, 2, 2], [40, 128000, 2, 4], [40, 160000, 2, 10], [40, 256000, 2, 2], [40, 320000, 2, 2], [40, 400000, 2, 6], [40, 512000, 2, 4], [40, 512000, 4, 1], [40, 640000, 2, 14], [40, 800000, 2, 48], [40, 1600000, 2, 6], [40, 2048000, 2, 2], [40, 2048000, 4, 1], [40, 2560000, 2, 10], [40, 2560000, 4, 1], [40, 3200000, 2, 48], [40, 4000000, 2, 82], [40, 6400000, 2, 9], [40, 8000000, 2, 14], [40, 10000000, 2, 9], [40, 10240000, 2, 2], [40, 12800000, 2, 14], [40, 12800000, 4, 1], [40, 16000000, 2, 50], [40, 20000000, 2, 42], [40, 25600000, 2, 2], [40, 32000000, 2, 26], [40, 40000000, 2, 8], [40, 51200000, 4, 1], [40, 64000000, 1, 2], [40, 64000000, 2, 8], [40, 64000000, 4, 1], [40, 80000000, 2, 12], [40, 128000000, 2, 7], [40, 160000000, 2, 21], [80, 640000000, 2, 4]], 'element_repr_type': 'Perm', 'elementary': 1, 'eulerian_function': None, 'exponent': 80, 'exponents_of_order': [17, 8], 'factors_of_aut_order': [2, 5], 'factors_of_order': [2, 5], 'faithful_reps': None, 'familial': False, 'frattini_label': '1.1', 'frattini_quotient': '51200000000.gt', 'hash': 1525731903967419845, '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': None, 'inner_split': None, 'inner_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'inner_used': None, 'irrC_degree': None, 'irrQ_degree': None, 'irrQ_dim': None, 'irrR_degree': None, 'irrep_stats': None, 'label': '51200000000.gt', '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': 'C5^8.C2^5.C2^6.C2^4.C4', 'ngens': 3, 'nilpotency_class': -1, 'nilpotent': False, 'normal_counts': [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 11, 0, 0, 0, 0, 0, 0, 43, 0, 0, 0, 0, 0, 51, 0, 0, 0, 0, 0, 91, 0, 0, 0, 0, 91, 0, 0, 0, 0, 115, 0, 0, 0, 75, 0, 0, 0, 63, 0, 0, 0, 55, 0, 0, 55, 0, 0, 51, 0, 35, 0, 19, 7, 1], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 3284, 'number_characteristic_subgroups': 399, 'number_conjugacy_classes': 5306, 'number_divisions': 2931, 'number_normal_subgroups': 773, 'number_subgroup_autclasses': None, 'number_subgroup_classes': None, 'number_subgroups': None, 'old_label': None, 'order': 51200000000, 'order_factorization_type': 33, 'order_stats': [[1, 1], [2, 1032575], [4, 830633600], [5, 390624], [8, 12926208000], [10, 148576800], [16, 7680000000], [20, 4619366400], [40, 19873792000], [80, 5120000000]], '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': None, 'outer_hash': None, 'outer_nilpotent': None, 'outer_order': 4, 'outer_permdeg': None, 'outer_perms': None, 'outer_solvable': None, 'outer_supersolvable': None, 'outer_tex': None, 'pc_rank': None, 'perfect': False, 'permutation_degree': None, 'pgroup': 0, 'primary_abelian_invariants': [2, 4, 4], 'quasisimple': False, 'rank': 3, 'rational': False, 'rational_characters_known': False, 'ratrep_stats': None, 'representations': {'PC': {'code': '21485125095298125991773037673148536993541931586037994501218522253825071042843149017794384289120599753090089877119822692066357724692374745273105197930692220012755428064406720586531082881040691438491522043103065100006356282567775218608929331538926091528031781310101492794205443894202922817881678132090270664149734812234128234534387758912946747882376823878385331039440675444823183696746320392024399987702007487385129546248889577316748974273155672094860885388708825761560962347295675313547726897780938069214287316507137850255436060447826167738014590599068708463810706922714402819931447814296789135224361240400111002156734104378329424749741314515829517335536401456116363672945379790902762878346623647357214545240153661871037207738821014092778541240636198623890319721880537509787383163005221431628238078496583128992503621011167858708170433462667802607369336342375157376960573036618228781487216311356060069058324516094720509984434014964474160350794359657166173354923870353154651414075670574169928270342013076059201217833231704863903729284493414817432432622850432027893837358796283633390214378557035124951488349777681108430352523690246510885212613075528018708464102473732204889122246353855182638590666629861160490240509895136339822650491916452735520554168699018690416627696873986377360665132689163331384795561216019194393507279701673870091310897125103868261261517479530360478687315203744712358248710137627459116512228349710499312576792282729298250179071132595265271178488125514657809783068578843393956149608663808321332144019994384137753869338697258526514555611000098457564296214720354347176723599466546224281575477477720830441162075371851243830302532127491525838359523808881861800039937148107612826275315880995012222464370056323896417928316521216297745163163246359123550127833791503652673711020571072815300039684546069418115854975456581070310465832643954267530811538793321976150776293121494525831073082647022739626798656223023790610426476530453603589831415812775643991894355863980294333521864590114466271786888066083496376256335882217588329248398079964766138112704603681927113600426635589312062728799992361278139097295367710671208539100610844315736799487783049479264718564149357913782325372789730484735394784735082408803158935877685488115780581678193558088224574325766986315371036306792962675635809128787613588803148337351411948047918917004872562719612755423407062721208704416034840424763646228224055385870848655109824567499770234008461189485617728293848951381115614671102339687201812143225638074831101366761570098368336383827727627186078682127232822880398287682940988126464934922401619327686794361145597405810924876572459098137755406509144567186661318710542579583652968750183738076153435383823932766962759204779378146264619898116039210084598755839810562862168308443071709696827475313432607108139784900788895743', 'gens': [1, 3, 6, 9, 10, 12, 14, 17, 20, 21, 22, 23, 24, 25], 'pres': [25, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5, 2, 2, 5, 5, 5, 5, 5, 5, 5, 50, 406264328026, 2356301169302, 84045250377, 202, 124003964003, 693067264428, 278, 416813074004, 1212498177029, 186890752104, 1234262791205, 1003841695230, 1743979100455, 400147047080, 25148006805, 430, 8303838782406, 1489507807231, 287992367656, 153468315081, 122366362406, 506, 3268425344007, 2041289536032, 844873734457, 442876726482, 305128244907, 811490976008, 2274601795233, 1739099246458, 585862048883, 688813981308, 248455801933, 56077057058, 71133696633, 15224257108, 8988597696009, 3126221152034, 2310399904059, 1446435408084, 610561608109, 365808654134, 192367006159, 81790217184, 35684869709, 734, 1553801497610, 930105228835, 487695507260, 408995875285, 519529489710, 183301932135, 121851140560, 38897410385, 48782977310, 342343680011, 5996745830436, 3661922764861, 1152051686486, 832514496111, 374790508936, 36864163361, 42433771386, 117811, 26016080636, 7008384861, 886, 249733120012, 3328123136037, 2416181580862, 971777497687, 367785350512, 510030684937, 39943176162, 116278999387, 171812, 18876855637, 12688625562, 16718895244813, 6781850880038, 3754745881663, 1749852518488, 1003477171313, 99471209738, 93912313763, 45196233788, 380901013, 4727786238, 8342211063, 6594024088, 2163006613, 1038, 10320502656014, 4466446080039, 3939725184064, 483533568089, 697544064114, 244447344139, 194945952164, 133073712189, 504216214, 3701820239, 14500326264, 21289, 13814, 1114, 351272960015, 1572995072040, 1810497536065, 499736576140, 409765, 409790, 205015, 19776000240, 13090, 13115, 19332963584016, 760304844841, 4510123827266, 963158528091, 1218407680116, 468509337741, 111490624166, 57470880191, 41811024216, 10885957041, 5352212266, 1921170291, 153316, 2001860841, 354913616, 1266, 4703287910417, 1065170534442, 3575564697667, 1349904384092, 1125043200117, 273747916942, 161932032167, 82788480192, 88160832217, 22441910642, 10956816267, 1728360292, 324317, 751554342, 695331367, 1342, 191447040018, 2198847078443, 1216245145668, 2719053824093, 537472000118, 420756428943, 339886592168, 169936000193, 71594432218, 46589854643, 23295216268, 798000293, 304318, 1467864343, 1455951368, 22897950720019, 16384000044, 158515200069, 614400094, 409600119, 2304000144, 102400169, 19200219, 476800244, 6400269, 400344, 400369, 30419, 20444, 7182336000020, 3440640045, 19353600070, 3225600095, 2150400120, 27202560145, 268800170, 268800195, 285600245, 3150345, 2100370, 157920, 105445, 7524424089621, 347832320046, 15769600071, 16896000096, 11264000121, 28441600146, 3238400171, 563200196, 774400221, 334400246, 12100346, 11000371, 605421, 550446, 2779889664022, 97976320047, 192184320072, 88320000097, 58880000122, 31854080147, 7418880172, 7389440197, 2870400222, 765440247, 938400272, 87170347, 57500372, 2944422, 2875447, 21252970905623, 1284066508848, 4530261196873, 2254946304098, 1422409728123, 855380582548, 209645568173, 124022784198, 105484800223, 37040755448, 13478400273, 312768298, 1452000323, 1468320348, 852000373, 11424423, 5100448, 143360000024, 4275230720049, 6028805120074, 1523353600099, 534451200124, 267202560149, 290419200174, 245209600199, 50000000224, 25000000249, 25000000274, 11775200299, 6250000324, 2343750349, 1562500374]}, 'Perm': {'d': 40, 'gens': [82637946751355846939948523742243424762463340890, 251219854132988798975110827188214834765376238856, 480445590912251800777331973907405017292279187760]}}, 'schur_multiplier': None, 'semidirect_product': None, 'simple': False, 'smith_abelian_invariants': [2, 4, 4], 'solvability_type': 17, 'solvable': True, 'subgroup_inclusions_known': False, 'subgroup_index_bound': 10, 'supersolvable': False, 'sylow_subgroups_known': True, 'tex_name': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'transitive_degree': None, 'wreath_data': None, 'wreath_product': False}
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['group_order', 'group_counter'] [51200000000, 176] does not appear in gps_conj_classes
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group 51200000000.gt does not appear in gps_qchar
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group 51200000000.gt does not appear in gps_char
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gps_subgroup_search • Show schema
Hide schema
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id: 222117286
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 51200000000, 'counter': 1, 'cyclic': False, 'direct': None, 'hall': 10, 'label': '51200000000.gt.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': '51200000000.gt', 'subgroup_hash': None, 'subgroup_order': 51200000000, 'subgroup_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'supersolvable': False, 'sylow': 0}
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id: 222117397
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 25600000000, 'counter': 2, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.2._.A', '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': '25600000000.dc', 'subgroup_hash': None, 'subgroup_order': 25600000000, 'subgroup_tex': 'C_5^8.C_2.C_2^4.C_2^5.C_2^4.C_2^2', 'supersolvable': False, 'sylow': 0}
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id: 222117508
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 25600000000, 'counter': 3, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.2._.B', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.B', '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': '25600000000.dc', 'subgroup_hash': None, 'subgroup_order': 25600000000, 'subgroup_tex': 'C_5^8.C_2.C_2^4.C_2^5.C_2^4.C_2^2', 'supersolvable': False, 'sylow': 0}
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id: 222117619
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 25600000000, 'counter': 4, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.2._.C', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.C', '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': None, 'subgroup_hash': None, 'subgroup_order': 25600000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^6.C_2^3.C_2^3', 'supersolvable': False, 'sylow': 0}
-
id: 222117730
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 25600000000, 'counter': 5, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.2._.D', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.D', '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': '25600000000.bd', 'subgroup_hash': None, 'subgroup_order': 25600000000, 'subgroup_tex': 'C_5^8.C_2^5.C_2^5.C_4^2.C_2^2', 'supersolvable': False, 'sylow': 0}
-
id: 222117841
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 25600000000, 'counter': 6, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.2._.E', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.E', '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': None, 'subgroup_hash': None, 'subgroup_order': 25600000000, 'subgroup_tex': 'C_5^8.C_2.C_2^4.C_2^4.C_2.C_4^3', 'supersolvable': False, 'sylow': 0}
-
id: 222117952
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 25600000000, 'counter': 7, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.2._.F', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.F', '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': None, 'subgroup_hash': None, 'subgroup_order': 25600000000, 'subgroup_tex': 'C_5^8.C_2^5.C_2^6.C_2^5', 'supersolvable': False, 'sylow': 0}
-
id: 222118063
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 25600000000, 'counter': 8, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.2._.G', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.G', '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': None, 'subgroup_hash': None, 'subgroup_order': 25600000000, 'subgroup_tex': 'C_5^8.C_2.C_2^4.C_2^4.C_2.C_4^3', 'supersolvable': False, 'sylow': 0}
-
id: 222118174
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 12800000000, 'counter': 9, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.4._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 12800000000, 'subgroup_tex': 'C_5^8.C_2^5.C_2^6.C_2^4', 'supersolvable': False, 'sylow': 0}
-
id: 222117287
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 12800000000, 'counter': 10, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.4._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 12800000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^5.C_2^4.C_2^2', 'supersolvable': False, 'sylow': 0}
-
id: 222117298
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 12800000000, 'counter': 11, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.4._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.C', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 12800000000, 'subgroup_tex': 'C_5^8.C_2^5.C_2^6.C_2^4', 'supersolvable': False, 'sylow': 0}
-
id: 222117309
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 12800000000, 'counter': 12, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.4._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.D', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 12800000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^6.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
-
id: 222117320
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 12800000000, 'counter': 13, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.4._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.E', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 12800000000, 'subgroup_tex': 'C_5^8.C_2^5.C_2^5.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
-
id: 222117331
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 12800000000, 'counter': 14, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.4._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.F', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 12800000000, 'subgroup_tex': 'C_5^8.C_2^5.C_2^6.C_2^4', 'supersolvable': False, 'sylow': 0}
-
id: 222117342
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 12800000000, 'counter': 15, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.4._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.G', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 12800000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^6.C_4^2.C_2', 'supersolvable': False, 'sylow': 0}
-
id: 222117353
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 12800000000, 'counter': 16, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.4._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.H', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 12800000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^6.C_4^2.C_2', 'supersolvable': False, 'sylow': 0}
-
id: 222117364
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 12800000000, 'counter': 17, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.4._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.I', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 12800000000, 'subgroup_tex': 'C_5^8.C_2^3.C_2^6.C_2^5.C_2', 'supersolvable': False, 'sylow': 0}
-
id: 222117375
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 12800000000, 'counter': 18, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.4._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.J', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 12800000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^6.C_2^2.C_2^3', 'supersolvable': False, 'sylow': 0}
-
id: 222117386
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 12800000000, 'counter': 19, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.4._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.K', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 12800000000, 'subgroup_tex': 'C_5^8.C_2.C_2^5.C_2^5.C_2^4', 'supersolvable': False, 'sylow': 0}
-
id: 222117398
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 12800000000, 'counter': 20, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.4._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.L', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 12800000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^5.C_4^2.C_2^2', 'supersolvable': False, 'sylow': 0}
-
id: 222117409
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 12800000000, 'counter': 21, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.4._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.M', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12800000000.bt', 'subgroup_hash': None, 'subgroup_order': 12800000000, 'subgroup_tex': 'C_5^8.C_2^5.C_2^5.C_4^2.C_2', 'supersolvable': False, 'sylow': 0}
-
id: 222117420
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 12800000000, 'counter': 22, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.4._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.N', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12800000000.bs', 'subgroup_hash': None, 'subgroup_order': 12800000000, 'subgroup_tex': 'C_5^8.C_2^5.C_2^5.C_4^2.C_2', 'supersolvable': False, 'sylow': 0}
-
id: 222117431
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 12800000000, 'counter': 23, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.4._.O', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.O', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12800000000.bt', 'subgroup_hash': None, 'subgroup_order': 12800000000, 'subgroup_tex': 'C_5^8.C_2^5.C_2^5.C_4^2.C_2', 'supersolvable': False, 'sylow': 0}
-
id: 222117442
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 12800000000, 'counter': 24, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.4._.P', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.P', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12800000000.bs', 'subgroup_hash': None, 'subgroup_order': 12800000000, 'subgroup_tex': 'C_5^8.C_2^5.C_2^5.C_4^2.C_2', 'supersolvable': False, 'sylow': 0}
-
id: 222117453
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 12800000000, 'counter': 25, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.4._.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.Q', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12800000000.fq', 'subgroup_hash': None, 'subgroup_order': 12800000000, 'subgroup_tex': 'C_5^8.C_2^5.C_2^6.C_2^4', 'supersolvable': False, 'sylow': 0}
-
id: 222117464
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 12800000000, 'counter': 26, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.4._.R', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.R', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 12800000000, 'subgroup_tex': 'C_5^8.C_2^5.C_2^6.C_2^4', 'supersolvable': False, 'sylow': 0}
-
id: 222117475
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 12800000000, 'counter': 27, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.4._.S', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.S', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 12800000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^6.C_2.C_2^4', 'supersolvable': False, 'sylow': 0}
-
id: 222117486
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6400000000, 'counter': 28, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.4._.T', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.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': 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': '12800000000.il', 'subgroup_hash': None, 'subgroup_order': 12800000000, 'subgroup_tex': 'C_5^8.C_2.C_2^4.C_2.C_2^5.C_4^2', 'supersolvable': False, 'sylow': 0}
-
id: 222117497
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6400000000, 'counter': 29, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.4._.U', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.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': 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': '12800000000.bu', 'subgroup_hash': None, 'subgroup_order': 12800000000, 'subgroup_tex': 'C_5^8.C_2^5.C_2^5.C_4^2.C_2', 'supersolvable': False, 'sylow': 0}
-
id: 222117509
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6400000000, 'counter': 30, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.4._.V', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.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': 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': '12800000000.bl', 'subgroup_hash': None, 'subgroup_order': 12800000000, 'subgroup_tex': 'C_5^8.C_2^6.C_2^5.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
-
id: 222117520
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6400000000, 'counter': 31, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.4._.W', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.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': 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': '12800000000.lr', 'subgroup_hash': None, 'subgroup_order': 12800000000, 'subgroup_tex': 'C_5^8.C_2.C_2^4.C_2.C_2^5.C_4^2', 'supersolvable': False, 'sylow': 0}
-
id: 222117531
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6400000000, 'counter': 32, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.4._.X', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.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': 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': '12800000000.bk', 'subgroup_hash': None, 'subgroup_order': 12800000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^6.C_4.C_2^3', 'supersolvable': False, 'sylow': 0}
-
id: 222117542
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6400000000, 'counter': 33, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.4._.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.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': 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': '12800000000.bv', 'subgroup_hash': None, 'subgroup_order': 12800000000, 'subgroup_tex': 'C_5^8.C_2^5.C_2^5.C_4^2.C_2', 'supersolvable': False, 'sylow': 0}
-
id: 222117553
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6400000000, 'counter': 34, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.4._.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.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': 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': '12800000000.il', 'subgroup_hash': None, 'subgroup_order': 12800000000, 'subgroup_tex': 'C_5^8.C_2.C_2^4.C_2.C_2^5.C_4^2', 'supersolvable': False, 'sylow': 0}
-
id: 222117564
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6400000000, 'counter': 35, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.4._.BA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.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': 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': 12800000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^6.C_2^5', 'supersolvable': False, 'sylow': 0}
-
id: 222117575
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6400000000, 'counter': 36, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.4._.BB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.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': 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': 12800000000, 'subgroup_tex': 'C_5^8.C_4^3.C_2^3.C_2^4.C_2^2', 'supersolvable': False, 'sylow': 0}
-
id: 222117586
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6400000000, 'counter': 37, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.4._.BC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.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': 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': 12800000000, 'subgroup_tex': 'C_5^8.C_2^3.C_2^5.C_2^5.C_2^2', 'supersolvable': False, 'sylow': 0}
-
id: 222117597
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6400000000, 'counter': 38, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.4._.BD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.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': 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': 12800000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^6.C_4^2.C_2', 'supersolvable': False, 'sylow': 0}
-
id: 222117608
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6400000000, 'counter': 39, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.4._.BE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.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': 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': '12800000000.gw', 'subgroup_hash': None, 'subgroup_order': 12800000000, 'subgroup_tex': 'C_5^8.C_2^5.C_2^6.C_2^4', 'supersolvable': False, 'sylow': 0}
-
id: 222117620
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6400000000, 'counter': 40, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.4._.BF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.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': 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': '12800000000.gw', 'subgroup_hash': None, 'subgroup_order': 12800000000, 'subgroup_tex': 'C_5^8.C_2^5.C_2^6.C_2^4', 'supersolvable': False, 'sylow': 0}
-
id: 222117631
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6400000000, 'counter': 41, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.4._.BG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.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': 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': 12800000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^6.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
-
id: 222117642
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6400000000, 'counter': 42, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.4._.BH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.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': 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': 12800000000, 'subgroup_tex': 'C_5^8.C_2^5.C_2^6.C_2^4', 'supersolvable': False, 'sylow': 0}
-
id: 222117653
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6400000000, 'counter': 43, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.4._.BI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.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': 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': 12800000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^6.C_4.C_2^3', 'supersolvable': False, 'sylow': 0}
-
id: 222117664
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6400000000, 'counter': 44, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.4._.BJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.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': 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': 12800000000, 'subgroup_tex': 'C_5^8.C_2^5.C_2^5.C_4^2.C_2', 'supersolvable': False, 'sylow': 0}
-
id: 222117675
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6400000000, 'counter': 45, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.4._.BK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.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': 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': '12800000000.lr', 'subgroup_hash': None, 'subgroup_order': 12800000000, 'subgroup_tex': 'C_5^8.C_2.C_2^4.C_2.C_2^5.C_4^2', 'supersolvable': False, 'sylow': 0}
-
id: 222117686
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6400000000, 'counter': 46, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.4._.BL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.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': 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': 12800000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^6.C_2.C_2^4', 'supersolvable': False, 'sylow': 0}
-
id: 222117697
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6400000000, 'counter': 47, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.4._.BM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.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': 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': 12800000000, 'subgroup_tex': 'C_5^8.C_2^5.C_2^6.C_2^4', 'supersolvable': False, 'sylow': 0}
-
id: 222117708
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6400000000, 'counter': 48, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.4._.BN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.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': 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': 12800000000, 'subgroup_tex': 'C_5^8.C_2^5.C_2^6.C_2^4', 'supersolvable': False, 'sylow': 0}
-
id: 222117719
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6400000000, 'counter': 49, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.4._.BO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.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': 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': 12800000000, 'subgroup_tex': 'C_5^8.C_2^5.C_2^6.C_2^4', 'supersolvable': False, 'sylow': 0}
-
id: 222117731
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6400000000, 'counter': 50, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.4._.BP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.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': 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': 12800000000, 'subgroup_tex': 'C_5^8.C_2^6.C_2^6.C_2^3', 'supersolvable': False, 'sylow': 0}
-
id: 222117742
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6400000000, 'counter': 51, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.4._.BQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.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': 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': 12800000000, 'subgroup_tex': 'C_5^8.C_2^5.C_2^6.C_2^4', 'supersolvable': False, 'sylow': 0}
-
id: 222117753
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6400000000, 'counter': 52, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.4._.BR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.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': 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': 12800000000, 'subgroup_tex': 'C_5^8.C_2^6.C_2^6.C_2^3', 'supersolvable': False, 'sylow': 0}
-
id: 222117764
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6400000000, 'counter': 53, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.4._.BS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.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': 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': '12800000000.gw', 'subgroup_hash': None, 'subgroup_order': 12800000000, 'subgroup_tex': 'C_5^8.C_2^5.C_2^6.C_2^4', 'supersolvable': False, 'sylow': 0}
-
id: 222117775
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6400000000, 'counter': 54, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.4._.BT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.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': 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': 12800000000, 'subgroup_tex': 'C_5^8.C_2^3.C_2^5.C_2^5.C_2^2', 'supersolvable': False, 'sylow': 0}
-
id: 222117786
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6400000000, 'counter': 55, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.4._.BU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.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': 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': 12800000000, 'subgroup_tex': 'C_5^8.C_2^3.C_2^5.C_2^5.C_2^2', 'supersolvable': False, 'sylow': 0}
-
id: 222117797
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6400000000, 'counter': 56, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 6400000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^6.C_2^4', 'supersolvable': False, 'sylow': 0}
-
id: 222117808
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 6400000000, 'counter': 57, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.4', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'Q_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 6400000000, 'subgroup_tex': 'C_5^8.C_2^3.C_2^6.C_2.C_2^4', 'supersolvable': False, 'sylow': 0}
-
id: 222117819
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 6400000000, 'counter': 58, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.C', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 6400000000, 'subgroup_tex': 'C_5^8.C_2^3.C_2^6.C_2.C_2^4', 'supersolvable': False, 'sylow': 0}
-
id: 222117830
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 6400000000, 'counter': 59, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.D', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.4', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'Q_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 6400000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^5.C_2.C_2^4', 'supersolvable': False, 'sylow': 0}
-
id: 222117842
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 6400000000, 'counter': 60, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.E', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 6400000000, 'subgroup_tex': 'C_5^8.C_2.C_2^5.C_2^6.C_2^2', 'supersolvable': False, 'sylow': 0}
-
id: 222117853
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 6400000000, 'counter': 61, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.F', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 6400000000, 'subgroup_tex': 'C_5^8.C_2^3.C_2^6.C_2.C_2^4', 'supersolvable': False, 'sylow': 0}
-
id: 222117864
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 6400000000, 'counter': 62, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.G', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 6400000000, 'subgroup_tex': 'C_5^8.C_2^3.C_2^6.C_2.C_2^4', 'supersolvable': False, 'sylow': 0}
-
id: 222117875
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 6400000000, 'counter': 63, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.H', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 6400000000, 'subgroup_tex': 'C_5^8.C_2^3.C_2^6.C_2.C_2^4', 'supersolvable': False, 'sylow': 0}
-
id: 222117886
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 6400000000, 'counter': 64, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.I', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 6400000000, 'subgroup_tex': 'C_5^8.C_2.C_2^5.C_2^6.C_2^2', 'supersolvable': False, 'sylow': 0}
-
id: 222117897
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 6400000000, 'counter': 65, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.J', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 6400000000, 'subgroup_tex': 'C_5^8.C_2^3.C_2^6.C_2^3.C_2^2', 'supersolvable': False, 'sylow': 0}
-
id: 222117908
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 6400000000, 'counter': 66, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.K', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 6400000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^5.C_2.C_2^4', 'supersolvable': False, 'sylow': 0}
-
id: 222117919
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 6400000000, 'counter': 67, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.L', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 6400000000, 'subgroup_tex': 'C_5^8.C_2^2.C_2^5.C_2^4.C_2^3', 'supersolvable': False, 'sylow': 0}
-
id: 222117930
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 6400000000, 'counter': 68, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.M', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 6400000000, 'subgroup_tex': 'C_5^8.C_2^3.C_2^6.C_2.C_2^4', 'supersolvable': False, 'sylow': 0}
-
id: 222117941
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 6400000000, 'counter': 69, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.N', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 6400000000, 'subgroup_tex': 'C_5^8.C_2^3.C_2^6.C_2^3.C_2^2', 'supersolvable': False, 'sylow': 0}
-
id: 222117953
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 6400000000, 'counter': 70, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.O', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.O', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 6400000000, 'subgroup_tex': 'C_5^8.C_4^2.C_2^3.C_2^4.C_2^3', 'supersolvable': False, 'sylow': 0}
-
id: 222117964
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 6400000000, 'counter': 71, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.P', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.P', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 6400000000, 'subgroup_tex': 'C_5^8.C_2^2.C_2^6.C_2^5.C_2', 'supersolvable': False, 'sylow': 0}
-
id: 222117975
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 6400000000, 'counter': 72, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.Q', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 6400000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^5.C_2.C_2^4', 'supersolvable': False, 'sylow': 0}
-
id: 222117986
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 6400000000, 'counter': 73, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.R', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.R', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 6400000000, 'subgroup_tex': 'C_5^8.C_2^2.C_2^6.C_2^5.C_2', 'supersolvable': False, 'sylow': 0}
-
id: 222117997
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 6400000000, 'counter': 74, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.S', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.S', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 6400000000, 'subgroup_tex': 'C_5^8.C_2^3.C_2^6.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
-
id: 222118008
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 6400000000, 'counter': 75, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.T', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.T', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 6400000000, 'subgroup_tex': 'C_5^8.C_2^3.C_2^6.C_2^5', 'supersolvable': False, 'sylow': 0}
-
id: 222118019
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6400000000, 'counter': 76, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.U', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.U', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 6400000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^4.C_4^3', 'supersolvable': False, 'sylow': 0}
-
id: 222118030
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6400000000, 'counter': 77, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.V', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.V', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 6400000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^4.C_4^3', 'supersolvable': False, 'sylow': 0}
-
id: 222118041
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6400000000, 'counter': 78, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.W', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.W', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 6400000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^4.C_4^3', 'supersolvable': False, 'sylow': 0}
-
id: 222118052
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6400000000, 'counter': 79, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.X', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.X', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 6400000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^4.C_4^3', 'supersolvable': False, 'sylow': 0}
-
id: 222118064
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6400000000, 'counter': 80, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.Y', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 6400000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^4.C_4^3', 'supersolvable': False, 'sylow': 0}
-
id: 222118075
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6400000000, 'counter': 81, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.Z', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 6400000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^4.C_4^3', 'supersolvable': False, 'sylow': 0}
-
id: 222118086
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6400000000, 'counter': 82, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.BA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.BA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 6400000000, 'subgroup_tex': 'C_5^8.C_2^3.C_2^5.C_2.C_2^5', 'supersolvable': False, 'sylow': 0}
-
id: 222118097
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6400000000, 'counter': 83, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.BB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.BB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 6400000000, 'subgroup_tex': 'C_5^8.C_2^5.C_2^6.C_2^3', 'supersolvable': False, 'sylow': 0}
-
id: 222118108
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6400000000, 'counter': 84, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.BC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.BC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 6400000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^4.C_4^3', 'supersolvable': False, 'sylow': 0}
-
id: 222118119
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6400000000, 'counter': 85, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.BD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.BD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 6400000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^4.C_4^3', 'supersolvable': False, 'sylow': 0}
-
id: 222118130
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6400000000, 'counter': 86, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.BE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.BE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 6400000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^4.C_4^3', 'supersolvable': False, 'sylow': 0}
-
id: 222118141
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6400000000, 'counter': 87, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.BF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.BF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 6400000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^4.C_4^3', 'supersolvable': False, 'sylow': 0}
-
id: 222118152
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6400000000, 'counter': 88, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.BG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.BG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 6400000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^4.C_4^3', 'supersolvable': False, 'sylow': 0}
-
id: 222118163
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6400000000, 'counter': 89, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.BH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.BH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 6400000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^4.C_4^3', 'supersolvable': False, 'sylow': 0}
-
id: 222118175
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6400000000, 'counter': 90, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.BI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.BI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 6400000000, 'subgroup_tex': 'C_5^8.C_2^5.C_2^6.C_2^3', 'supersolvable': False, 'sylow': 0}
-
id: 222118186
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3200000000, 'counter': 91, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.BJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 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': 6400000000, 'subgroup_tex': 'C_5^8.C_2^3.C_2^5.C_4^3', 'supersolvable': False, 'sylow': 0}
-
id: 222118197
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3200000000, 'counter': 92, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.BK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 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': 6400000000, 'subgroup_tex': 'C_5^8.C_4^3.C_4^3.C_2^2', 'supersolvable': False, 'sylow': 0}
-
id: 222118208
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3200000000, 'counter': 93, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.BL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 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': 6400000000, 'subgroup_tex': 'C_5^8.C_2^3.C_2^6.C_2^3.C_2^2', 'supersolvable': False, 'sylow': 0}
-
id: 222118219
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3200000000, 'counter': 94, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.BM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 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': 6400000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^4.C_4^3', 'supersolvable': False, 'sylow': 0}
-
id: 222118230
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3200000000, 'counter': 95, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.BN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 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': 6400000000, 'subgroup_tex': 'C_5^8.C_2^3.C_2^6.C_2^3.C_2^2', 'supersolvable': False, 'sylow': 0}
-
id: 222118241
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3200000000, 'counter': 96, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.BO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 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': 6400000000, 'subgroup_tex': 'C_5^8.C_2^3.C_2^6.C_2.C_2^4', 'supersolvable': False, 'sylow': 0}
-
id: 222118252
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3200000000, 'counter': 97, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.BP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 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': 6400000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^5.C_2.C_2^4', 'supersolvable': False, 'sylow': 0}
-
id: 222118254
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3200000000, 'counter': 98, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.BQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 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': 6400000000, 'subgroup_tex': 'C_5^8.C_2^3.C_2^6.C_2^3.C_2^2', 'supersolvable': False, 'sylow': 0}
-
id: 222118255
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3200000000, 'counter': 99, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.BR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 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': 6400000000, 'subgroup_tex': 'C_5^8.C_4^3.C_4^3.C_2^2', 'supersolvable': False, 'sylow': 0}
-
id: 222117288
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3200000000, 'counter': 100, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.BS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 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': 6400000000, 'subgroup_tex': 'C_5^8.C_2^3.C_2^5.C_2^5.C_2', 'supersolvable': False, 'sylow': 0}
-
id: 222117289
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3200000000, 'counter': 101, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.BT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 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': 6400000000, 'subgroup_tex': 'C_5^8.C_4^3.C_4^3.C_2^2', 'supersolvable': False, 'sylow': 0}
-
id: 222117290
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3200000000, 'counter': 102, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.BU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 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': 6400000000, 'subgroup_tex': 'C_5^8.C_4^3.C_2.C_2^3.C_2^4', 'supersolvable': False, 'sylow': 0}
-
id: 222117291
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3200000000, 'counter': 103, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.BV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 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': 6400000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^5.C_2.C_2^4', 'supersolvable': False, 'sylow': 0}
-
id: 222117292
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3200000000, 'counter': 104, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.BW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 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': 6400000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^5.C_2.C_2^4', 'supersolvable': False, 'sylow': 0}
-
id: 222117293
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3200000000, 'counter': 105, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.BX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 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': 6400000000, 'subgroup_tex': 'C_5^8.C_2^3.C_2^6.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
-
id: 222117294
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3200000000, 'counter': 106, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.BY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 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': 6400000000, 'subgroup_tex': 'C_5^8.C_4^3.C_4^3.C_2^2', 'supersolvable': False, 'sylow': 0}
-
id: 222117295
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3200000000, 'counter': 107, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.BZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 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': 6400000000, 'subgroup_tex': 'C_5^8.C_2^2.C_2^6.C_2^6', 'supersolvable': False, 'sylow': 0}
-
id: 222117296
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3200000000, 'counter': 108, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.CA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 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': 6400000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^5.C_2.C_2^4', 'supersolvable': False, 'sylow': 0}
-
id: 222117297
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3200000000, 'counter': 109, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.CB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 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': 6400000000, 'subgroup_tex': 'C_5^8.C_4^3.C_2.C_2^3.C_2^4', 'supersolvable': False, 'sylow': 0}
-
id: 222117299
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3200000000, 'counter': 110, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.CC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.CC', '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': 6400000000, 'subgroup_tex': 'C_5^8.C_2^3.C_2^6.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
-
id: 222117300
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1600000000, 'counter': 111, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.CD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.CD', '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': 6400000000, 'subgroup_tex': 'C_5^8.C_2^3.C_2^5.C_2^4.C_2^2', 'supersolvable': False, 'sylow': 0}
-
id: 222117301
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1600000000, 'counter': 112, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.CE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.CE', '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': 6400000000, 'subgroup_tex': 'C_5^8.C_2^3.C_2^5.C_2^4.C_2^2', 'supersolvable': False, 'sylow': 0}
-
id: 222117302
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1600000000, 'counter': 113, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.CF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.CF', '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': 6400000000, 'subgroup_tex': 'C_5^8.C_4^3.C_2^3.C_2^3.C_2^2', 'supersolvable': False, 'sylow': 0}
-
id: 222117303
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1600000000, 'counter': 114, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.CG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.CG', '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': 6400000000, 'subgroup_tex': 'C_5^8.C_2^3.C_2^5.C_2^4.C_2^2', 'supersolvable': False, 'sylow': 0}
-
id: 222117304
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3200000000, 'counter': 115, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.CH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.CH', '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': 6400000000, 'subgroup_tex': 'C_5^8.C_2^5.C_2^6.C_2^3', 'supersolvable': False, 'sylow': 0}
-
id: 222117305
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3200000000, 'counter': 116, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.CI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.CI', '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': 6400000000, 'subgroup_tex': 'C_5^8.C_2^5.C_2^6.C_2^3', 'supersolvable': False, 'sylow': 0}
-
id: 222117306
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3200000000, 'counter': 117, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.CJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.CJ', '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': 6400000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^6.C_2^4', 'supersolvable': False, 'sylow': 0}
-
id: 222117307
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3200000000, 'counter': 118, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.CK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.CK', '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': 6400000000, 'subgroup_tex': 'C_5^8.C_4^3.C_2^4.C_2^4', 'supersolvable': False, 'sylow': 0}
-
id: 222117308
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3200000000, 'counter': 119, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.CL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.CL', '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': 6400000000, 'subgroup_tex': 'C_5^8.C_2^3.C_2^6.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
-
id: 222117310
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3200000000, 'counter': 120, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.CM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.CM', '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': 6400000000, 'subgroup_tex': 'C_5^8.C_2^3.C_2^5.C_2^5.C_2', 'supersolvable': False, 'sylow': 0}
-
id: 222117311
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3200000000, 'counter': 121, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.CN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.CN', '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': 6400000000, 'subgroup_tex': 'C_5^8.C_2^3.C_2^6.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
-
id: 222117312
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3200000000, 'counter': 122, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.CO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.CO', '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': 6400000000, 'subgroup_tex': 'C_5^8.C_2^3.C_2^5.C_2^5.C_2', 'supersolvable': False, 'sylow': 0}
-
id: 222117313
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1600000000, 'counter': 123, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.CP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.CP', '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': 6400000000, 'subgroup_tex': 'C_5^8.C_2^3.C_2^5.C_2^4.C_2^2', 'supersolvable': False, 'sylow': 0}
-
id: 222117314
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1600000000, 'counter': 124, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.CQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.CQ', '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': 6400000000, 'subgroup_tex': 'C_5^8.C_2^3.C_2^5.C_2^4.C_2^2', 'supersolvable': False, 'sylow': 0}
-
id: 222117315
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1600000000, 'counter': 125, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.CR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.CR', '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': 6400000000, 'subgroup_tex': 'C_5^8.C_2^3.C_2^5.C_2^4.C_2^2', 'supersolvable': False, 'sylow': 0}
-
id: 222117316
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1600000000, 'counter': 126, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.CS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.CS', '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': 6400000000, 'subgroup_tex': 'C_5^8.C_4^3.C_2^4.C_2.C_2^3', 'supersolvable': False, 'sylow': 0}
-
id: 222117317
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3200000000, 'counter': 127, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.CT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.CT', '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': 6400000000, 'subgroup_tex': 'C_5^8.C_2^3.C_2^5.(C_2\\times C_4\\times C_8)', 'supersolvable': False, 'sylow': 0}
-
id: 222117318
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3200000000, 'counter': 128, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.CU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.CU', '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': 6400000000, 'subgroup_tex': 'C_5^8.C_2^3.C_2^5.(C_2\\times C_4\\times C_8)', 'supersolvable': False, 'sylow': 0}
-
id: 222117319
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3200000000, 'counter': 129, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.CV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.CV', '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': 6400000000, 'subgroup_tex': 'C_5^8.C_2.C_4^3.C_4^3.C_2', 'supersolvable': False, 'sylow': 0}
-
id: 222117321
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3200000000, 'counter': 130, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.CW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.CW', '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': 6400000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^6.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
-
id: 222117322
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3200000000, 'counter': 131, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.CX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.CX', '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': 6400000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^4.C_4^3', 'supersolvable': False, 'sylow': 0}
-
id: 222117323
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1600000000, 'counter': 132, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.CY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.CY', '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': 6400000000, 'subgroup_tex': 'C_5^8.C_2^3.C_2^6.C_2.C_2^4', 'supersolvable': False, 'sylow': 0}
-
id: 222117324
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1600000000, 'counter': 133, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.CZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.CZ', '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': 6400000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^4.C_2.C_2^5', 'supersolvable': False, 'sylow': 0}
-
id: 222117325
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1600000000, 'counter': 134, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.DA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.DA', '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': 6400000000, 'subgroup_tex': 'C_5^8.C_2^3.C_2^6.C_2.C_2^4', 'supersolvable': False, 'sylow': 0}
-
id: 222117326
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3200000000, 'counter': 135, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.DB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.DB', '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': 6400000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^4.C_2^5.C_2', 'supersolvable': False, 'sylow': 0}
-
id: 222117327
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1600000000, 'counter': 136, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.DC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.DC', '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': 6400000000, 'subgroup_tex': 'C_5^8.C_2^5.C_2^6.C_2^3', 'supersolvable': False, 'sylow': 0}
-
id: 222117328
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1600000000, 'counter': 137, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.DD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.DD', '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': 6400000000, 'subgroup_tex': 'C_5^8.C_2^3.C_2^5.C_2^4.C_2^2', 'supersolvable': False, 'sylow': 0}
-
id: 222117329
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1600000000, 'counter': 138, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.DE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.DE', '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': 6400000000, 'subgroup_tex': 'C_5^8.C_2^3.C_2^5.C_2^4.C_2^2', 'supersolvable': False, 'sylow': 0}
-
id: 222117330
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1600000000, 'counter': 139, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.DF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.DF', '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': 6400000000, 'subgroup_tex': 'C_5^8.C_4^3.C_2^4.C_2.C_2^3', 'supersolvable': False, 'sylow': 0}
-
id: 222117332
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1600000000, 'counter': 140, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.DG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.DG', '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': 6400000000, 'subgroup_tex': 'C_5^8.C_2^3.C_2^5.C_2^4.C_2^2', 'supersolvable': False, 'sylow': 0}
-
id: 222117333
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1600000000, 'counter': 141, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.DH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.DH', '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': 6400000000, 'subgroup_tex': 'C_5^8.C_4^3.C_2^3.C_2^3.C_2^2', 'supersolvable': False, 'sylow': 0}
-
id: 222117334
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1600000000, 'counter': 142, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.DI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.DI', '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': 6400000000, 'subgroup_tex': 'C_5^8.C_2^3.C_2^5.C_2^4.C_2^2', 'supersolvable': False, 'sylow': 0}
-
id: 222117335
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1600000000, 'counter': 143, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.DJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.DJ', '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': 6400000000, 'subgroup_tex': 'C_5^8.C_2^3.C_2^5.C_2^4.C_2^2', 'supersolvable': False, 'sylow': 0}
-
id: 222117336
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1600000000, 'counter': 144, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.DK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.DK', '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': 6400000000, 'subgroup_tex': 'C_5^8.C_2^3.C_2^5.C_2^4.C_2^2', 'supersolvable': False, 'sylow': 0}
-
id: 222117337
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3200000000, 'counter': 145, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.DL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.DL', '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': 6400000000, 'subgroup_tex': 'C_5^8.C_2^5.C_2^5.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
-
id: 222117338
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3200000000, 'counter': 146, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.DM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.DM', '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': 6400000000, 'subgroup_tex': 'C_5^8.C_2^5.C_2^5.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
-
id: 222117339
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3200000000, 'counter': 147, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.DN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.DN', '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': 6400000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^6.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
-
id: 222117340
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3200000000, 'counter': 148, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.DO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.DO', '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': 6400000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^6.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
-
id: 222117341
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3200000000, 'counter': 149, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.DP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.DP', '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': 6400000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^4.C_4^3', 'supersolvable': False, 'sylow': 0}
-
id: 222117343
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1600000000, 'counter': 150, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.DQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.DQ', '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': 6400000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^5.C_2.C_2^4', 'supersolvable': False, 'sylow': 0}
-
id: 222117344
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1600000000, 'counter': 151, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.DR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.DR', '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': 6400000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^3.C_2.C_2^6', 'supersolvable': False, 'sylow': 0}
-
id: 222117345
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3200000000, 'counter': 152, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.DS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.DS', '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': 6400000000, 'subgroup_tex': 'C_5^8.C_2^5.C_2^6.C_2^3', 'supersolvable': False, 'sylow': 0}
-
id: 222117346
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3200000000, 'counter': 153, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.DT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.DT', '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': 6400000000, 'subgroup_tex': 'C_5^8.C_4^3.C_2^2.C_4^3', 'supersolvable': False, 'sylow': 0}
-
id: 222117347
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3200000000, 'counter': 154, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.DU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.DU', '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': 6400000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^6.C_2^4', 'supersolvable': False, 'sylow': 0}
-
id: 222117348
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3200000000, 'counter': 155, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.DV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.DV', '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': 6400000000, 'subgroup_tex': 'C_5^8.C_4^3.C_2^4.C_2^4', 'supersolvable': False, 'sylow': 0}
-
id: 222117349
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1600000000, 'counter': 156, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.DW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.DW', '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': 6400000000, 'subgroup_tex': 'C_5^8.C_2^3.C_2^6.C_2.C_2^4', 'supersolvable': False, 'sylow': 0}
-
id: 222117350
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1600000000, 'counter': 157, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.DX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.DX', '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': 6400000000, 'subgroup_tex': 'C_5^8.C_2^5.C_2^6.C_2^3', 'supersolvable': False, 'sylow': 0}
-
id: 222117351
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3200000000, 'counter': 158, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.DY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.DY', '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': 6400000000, 'subgroup_tex': 'C_5^8.C_4^3.C_2^2.C_2^5.C_2', 'supersolvable': False, 'sylow': 0}
-
id: 222117352
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3200000000, 'counter': 159, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.DZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.DZ', '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': 6400000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^5.C_2.C_2^4', 'supersolvable': False, 'sylow': 0}
-
id: 222117354
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3200000000, 'counter': 160, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.EA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.EA', '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': 6400000000, 'subgroup_tex': 'C_5^8.C_2^5.C_2^3.C_2^5.C_2', 'supersolvable': False, 'sylow': 0}
-
id: 222117355
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3200000000, 'counter': 161, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.EB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.EB', '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': 6400000000, 'subgroup_tex': 'C_5^8.C_2.C_2^4.C_2^6.C_2^3', 'supersolvable': False, 'sylow': 0}
-
id: 222117356
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3200000000, 'counter': 162, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.EC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.EC', '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': 6400000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^5.C_2.C_2^4', 'supersolvable': False, 'sylow': 0}
-
id: 222117357
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3200000000, 'counter': 163, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.ED', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.ED', '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': '6400000000.im', 'subgroup_hash': None, 'subgroup_order': 6400000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^5.C_4.C_2^3', 'supersolvable': False, 'sylow': 0}
-
id: 222117358
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3200000000, 'counter': 164, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.EE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.EE', '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': '6400000000.ij', 'subgroup_hash': None, 'subgroup_order': 6400000000, 'subgroup_tex': 'C_5^8.C_2^5.C_2^5.C_4^2', 'supersolvable': False, 'sylow': 0}
-
id: 222117359
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3200000000, 'counter': 165, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.EF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.EF', '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': '6400000000.ik', 'subgroup_hash': None, 'subgroup_order': 6400000000, 'subgroup_tex': 'C_5^8.C_2^5.C_2^5.C_4^2', 'supersolvable': False, 'sylow': 0}
-
id: 222117360
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3200000000, 'counter': 166, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.EG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.EG', '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': '6400000000.im', 'subgroup_hash': None, 'subgroup_order': 6400000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^5.C_4.C_2^3', 'supersolvable': False, 'sylow': 0}
-
id: 222117361
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3200000000, 'counter': 167, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.EH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.EH', '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': '6400000000.ik', 'subgroup_hash': None, 'subgroup_order': 6400000000, 'subgroup_tex': 'C_5^8.C_2^5.C_2^5.C_4^2', 'supersolvable': False, 'sylow': 0}
-
id: 222117362
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3200000000, 'counter': 168, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.EI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.EI', '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': '6400000000.il', 'subgroup_hash': None, 'subgroup_order': 6400000000, 'subgroup_tex': 'C_5^8.C_4^2.(C_4^2.\\OD_{32}).C_2', 'supersolvable': False, 'sylow': 0}
-
id: 222117363
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3200000000, 'counter': 169, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.EJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.EJ', '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': '6400000000.il', 'subgroup_hash': None, 'subgroup_order': 6400000000, 'subgroup_tex': 'C_5^8.C_4^2.(C_4^2.\\OD_{32}).C_2', 'supersolvable': False, 'sylow': 0}
-
id: 222117365
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3200000000, 'counter': 170, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.EK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.EK', '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': '6400000000.ij', 'subgroup_hash': None, 'subgroup_order': 6400000000, 'subgroup_tex': 'C_5^8.C_2^5.C_2^5.C_4^2', 'supersolvable': False, 'sylow': 0}
-
id: 222117366
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3200000000, 'counter': 171, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.EL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.EL', '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': '6400000000.ka', 'subgroup_hash': None, 'subgroup_order': 6400000000, 'subgroup_tex': 'C_5^8.C_4^3.C_2^4.C_2^4', 'supersolvable': False, 'sylow': 0}
-
id: 222117367
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3200000000, 'counter': 172, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.EM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.EM', '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': 6400000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^6.C_2^4', 'supersolvable': False, 'sylow': 0}
-
id: 222117368
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3200000000, 'counter': 173, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.EN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.EN', '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': 6400000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^6.C_2^4', 'supersolvable': False, 'sylow': 0}
-
id: 222117369
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3200000000, 'counter': 174, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.EO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.EO', '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': 6400000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^4.C_4^3', 'supersolvable': False, 'sylow': 0}
-
id: 222117370
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3200000000, 'counter': 175, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.EP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.EP', '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': 6400000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^6.C_2^4', 'supersolvable': False, 'sylow': 0}
-
id: 222117371
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3200000000, 'counter': 176, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.EQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.EQ', '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': '6400000000.ka', 'subgroup_hash': None, 'subgroup_order': 6400000000, 'subgroup_tex': 'C_5^8.C_4^3.C_2^4.C_2^4', 'supersolvable': False, 'sylow': 0}
-
id: 222117372
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3200000000, 'counter': 177, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.ER', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.ER', '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': '6400000000.kf', 'subgroup_hash': None, 'subgroup_order': 6400000000, 'subgroup_tex': 'C_5^8.C_2^3.C_2^5.C_4^3', 'supersolvable': False, 'sylow': 0}
-
id: 222117373
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3200000000, 'counter': 178, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.ES', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.ES', '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': '6400000000.kg', 'subgroup_hash': None, 'subgroup_order': 6400000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^6.C_2^4', 'supersolvable': False, 'sylow': 0}
-
id: 222117374
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3200000000, 'counter': 179, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.ET', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.ET', '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': '6400000000.kp', 'subgroup_hash': None, 'subgroup_order': 6400000000, 'subgroup_tex': 'C_5^8.C_2^5.C_2^6.C_2^3', 'supersolvable': False, 'sylow': 0}
-
id: 222117376
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1600000000, 'counter': 180, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.EU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.EU', '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': '6400000000.ko', 'subgroup_hash': None, 'subgroup_order': 6400000000, 'subgroup_tex': 'C_5^8.C_2^5.C_2^6.C_2^3', 'supersolvable': False, 'sylow': 0}
-
id: 222117377
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1600000000, 'counter': 181, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.EV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.EV', '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': 6400000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^6.C_2^4', 'supersolvable': False, 'sylow': 0}
-
id: 222117378
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1600000000, 'counter': 182, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.EW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.EW', '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': '6400000000.kh', 'subgroup_hash': None, 'subgroup_order': 6400000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^4.C_4^3', 'supersolvable': False, 'sylow': 0}
-
id: 222117379
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1600000000, 'counter': 183, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.EX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.EX', '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': 6400000000, 'subgroup_tex': 'C_5^8.C_2^5.C_2^5.C_2^4', 'supersolvable': False, 'sylow': 0}
-
id: 222117380
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1600000000, 'counter': 184, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.EY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.EY', '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': 6400000000, 'subgroup_tex': 'C_5^8.C_2^6.C_2^5.C_2^3', 'supersolvable': False, 'sylow': 0}
-
id: 222117381
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1600000000, 'counter': 185, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.EZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.EZ', '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': 6400000000, 'subgroup_tex': 'C_5^8.C_2^5.C_2^6.C_2^3', 'supersolvable': False, 'sylow': 0}
-
id: 222117382
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1600000000, 'counter': 186, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.FA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.FA', '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': '6400000000.kp', 'subgroup_hash': None, 'subgroup_order': 6400000000, 'subgroup_tex': 'C_5^8.C_2^5.C_2^6.C_2^3', 'supersolvable': False, 'sylow': 0}
-
id: 222117383
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1600000000, 'counter': 187, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.FB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.FB', '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': 6400000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^6.C_2^4', 'supersolvable': False, 'sylow': 0}
-
id: 222117384
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3200000000, 'counter': 188, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.FC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.FC', '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': '6400000000.kh', 'subgroup_hash': None, 'subgroup_order': 6400000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^4.C_4^3', 'supersolvable': False, 'sylow': 0}
-
id: 222117385
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3200000000, 'counter': 189, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.FD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.FD', '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': '6400000000.kg', 'subgroup_hash': None, 'subgroup_order': 6400000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^6.C_2^4', 'supersolvable': False, 'sylow': 0}
-
id: 222117387
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1600000000, 'counter': 190, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.FE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.FE', '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': '6400000000.ko', 'subgroup_hash': None, 'subgroup_order': 6400000000, 'subgroup_tex': 'C_5^8.C_2^5.C_2^6.C_2^3', 'supersolvable': False, 'sylow': 0}
-
id: 222117388
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1600000000, 'counter': 191, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.FF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.FF', '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': 6400000000, 'subgroup_tex': 'C_5^8.C_2^5.C_2^6.C_2^3', 'supersolvable': False, 'sylow': 0}
-
id: 222117389
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1600000000, 'counter': 192, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.FG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.FG', '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': '6400000000.kf', 'subgroup_hash': None, 'subgroup_order': 6400000000, 'subgroup_tex': 'C_5^8.C_2^3.C_2^5.C_4^3', 'supersolvable': False, 'sylow': 0}
-
id: 222117390
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1600000000, 'counter': 193, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.FH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.FH', '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': 6400000000, 'subgroup_tex': 'C_5^8.C_2^3.C_2^6.C_4.C_2^3', 'supersolvable': False, 'sylow': 0}
-
id: 222117391
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1600000000, 'counter': 194, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.FI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.FI', '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': 6400000000, 'subgroup_tex': 'C_5^8.C_2^6.C_2^5.C_2^3', 'supersolvable': False, 'sylow': 0}
-
id: 222117392
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1600000000, 'counter': 195, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.FJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.FJ', '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': 6400000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^4.C_4^3', 'supersolvable': False, 'sylow': 0}
-
id: 222117393
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1600000000, 'counter': 196, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.FK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.FK', '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': '6400000000.kp', 'subgroup_hash': None, 'subgroup_order': 6400000000, 'subgroup_tex': 'C_5^8.C_2^5.C_2^6.C_2^3', 'supersolvable': False, 'sylow': 0}
-
id: 222117394
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1600000000, 'counter': 197, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.FL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.FL', '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': 6400000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^6.C_2^4', 'supersolvable': False, 'sylow': 0}
-
id: 222117395
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3200000000, 'counter': 198, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.FM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.FM', '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': '6400000000.jx', 'subgroup_hash': None, 'subgroup_order': 6400000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^6.C_2^4', 'supersolvable': False, 'sylow': 0}
-
id: 222117396
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3200000000, 'counter': 199, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.FN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.FN', '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': 6400000000, 'subgroup_tex': 'C_5^8.C_2^5.C_2^6.C_2^3', 'supersolvable': False, 'sylow': 0}
-
id: 222117399
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3200000000, 'counter': 200, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.FO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.FO', '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': 6400000000, 'subgroup_tex': 'C_5^8.C_2^5.C_2^6.C_2^3', 'supersolvable': False, 'sylow': 0}
-
id: 222117400
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3200000000, 'counter': 201, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.FP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.FP', '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': '6400000000.kp', 'subgroup_hash': None, 'subgroup_order': 6400000000, 'subgroup_tex': 'C_5^8.C_2^5.C_2^6.C_2^3', 'supersolvable': False, 'sylow': 0}
-
id: 222117401
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3200000000, 'counter': 202, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.FQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.FQ', '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': '6400000000.jx', 'subgroup_hash': None, 'subgroup_order': 6400000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^6.C_2^4', 'supersolvable': False, 'sylow': 0}
-
id: 222117402
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1600000000, 'counter': 203, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.FR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.FR', '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': 6400000000, 'subgroup_tex': 'C_5^8.C_2^3.C_2^5.C_2.C_2^5', 'supersolvable': False, 'sylow': 0}
-
id: 222117403
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1600000000, 'counter': 204, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.FS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.FS', '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': 6400000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^4.C_4^3', 'supersolvable': False, 'sylow': 0}
-
id: 222117404
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1600000000, 'counter': 205, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.FT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.FT', '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': '6400000000.jx', 'subgroup_hash': None, 'subgroup_order': 6400000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^6.C_2^4', 'supersolvable': False, 'sylow': 0}
-
id: 222117405
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1600000000, 'counter': 206, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.FU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.FU', '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': 6400000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^6.C_2^4', 'supersolvable': False, 'sylow': 0}
-
id: 222117406
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1600000000, 'counter': 207, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.FV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.FV', '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': '6400000000.ko', 'subgroup_hash': None, 'subgroup_order': 6400000000, 'subgroup_tex': 'C_5^8.C_2^5.C_2^6.C_2^3', 'supersolvable': False, 'sylow': 0}
-
id: 222117407
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1600000000, 'counter': 208, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.FW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.FW', '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': 6400000000, 'subgroup_tex': 'C_5^8.C_2^5.C_2^6.C_2^3', 'supersolvable': False, 'sylow': 0}
-
id: 222117408
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1600000000, 'counter': 209, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.FX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.FX', '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': '6400000000.kh', 'subgroup_hash': None, 'subgroup_order': 6400000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^4.C_4^3', 'supersolvable': False, 'sylow': 0}
-
id: 222117410
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1600000000, 'counter': 210, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.FY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.FY', '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': 6400000000, 'subgroup_tex': 'C_5^8.C_4^3.C_2^2.C_2^5.C_2', 'supersolvable': False, 'sylow': 0}
-
id: 222117411
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1600000000, 'counter': 211, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.FZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.FZ', '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': '6400000000.jx', 'subgroup_hash': None, 'subgroup_order': 6400000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^6.C_2^4', 'supersolvable': False, 'sylow': 0}
-
id: 222117412
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1600000000, 'counter': 212, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.GA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.GA', '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': 6400000000, 'subgroup_tex': 'C_5^8.C_4^3.C_2.C_2^3.C_2^4', 'supersolvable': False, 'sylow': 0}
-
id: 222117413
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1600000000, 'counter': 213, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.GB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.GB', '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': 6400000000, 'subgroup_tex': 'C_5^8.C_2^3.C_2^5.C_2.C_2^5', 'supersolvable': False, 'sylow': 0}
-
id: 222117414
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1600000000, 'counter': 214, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.GC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.GC', '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': 6400000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^6.C_2^4', 'supersolvable': False, 'sylow': 0}
-
id: 222117415
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1600000000, 'counter': 215, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.GD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.GD', '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': '6400000000.kf', 'subgroup_hash': None, 'subgroup_order': 6400000000, 'subgroup_tex': 'C_5^8.C_2^3.C_2^5.C_4^3', 'supersolvable': False, 'sylow': 0}
-
id: 222117416
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1600000000, 'counter': 216, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.GE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.GE', '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': 6400000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^6.C_2^4', 'supersolvable': False, 'sylow': 0}
-
id: 222117417
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1600000000, 'counter': 217, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.GF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.GF', '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': '6400000000.ko', 'subgroup_hash': None, 'subgroup_order': 6400000000, 'subgroup_tex': 'C_5^8.C_2^5.C_2^6.C_2^3', 'supersolvable': False, 'sylow': 0}
-
id: 222117418
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1600000000, 'counter': 218, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.GG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.GG', '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': 6400000000, 'subgroup_tex': 'C_5^8.C_2^3.C_2^5.C_2.C_2^5', 'supersolvable': False, 'sylow': 0}
-
id: 222117419
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3200000000, 'counter': 219, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.GH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.GH', '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': '6400000000.kg', 'subgroup_hash': None, 'subgroup_order': 6400000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^6.C_2^4', 'supersolvable': False, 'sylow': 0}
-
id: 222117421
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3200000000, 'counter': 220, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.GI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.GI', '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': 6400000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^4.C_2.C_2^5', 'supersolvable': False, 'sylow': 0}
-
id: 222117422
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3200000000, 'counter': 221, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.GJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.GJ', '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': '6400000000.kg', 'subgroup_hash': None, 'subgroup_order': 6400000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^6.C_2^4', 'supersolvable': False, 'sylow': 0}
-
id: 222117423
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3200000000, 'counter': 222, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.GK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.GK', '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': 6400000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^4.C_4^3', 'supersolvable': False, 'sylow': 0}
-
id: 222117424
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3200000000, 'counter': 223, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.GL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.GL', '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': '6400000000.kf', 'subgroup_hash': None, 'subgroup_order': 6400000000, 'subgroup_tex': 'C_5^8.C_2^3.C_2^5.C_4^3', 'supersolvable': False, 'sylow': 0}
-
id: 222117425
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3200000000, 'counter': 224, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.GM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.GM', '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': 6400000000, 'subgroup_tex': 'C_5^8.C_2^3.C_2^5.C_4^3', 'supersolvable': False, 'sylow': 0}
-
id: 222117426
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3200000000, 'counter': 225, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.GN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.GN', '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': '6400000000.kh', 'subgroup_hash': None, 'subgroup_order': 6400000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^4.C_4^3', 'supersolvable': False, 'sylow': 0}
-
id: 222117427
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3200000000, 'counter': 226, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.GO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.GO', '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': 6400000000, 'subgroup_tex': 'C_5^8.C_2^5.C_2^6.C_2^3', 'supersolvable': False, 'sylow': 0}
-
id: 222117428
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 800000000, 'counter': 227, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.GP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.GP', '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': 6400000000, 'subgroup_tex': 'C_5^8.C_2.C_4.C_2^6.C_2.C_2^4', 'supersolvable': False, 'sylow': 0}
-
id: 222117429
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 800000000, 'counter': 228, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.GQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.GQ', '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': 6400000000, 'subgroup_tex': 'C_5^8.C_2.C_4.C_2^6.C_2.C_2^4', 'supersolvable': False, 'sylow': 0}
-
id: 222117430
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 800000000, 'counter': 229, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.GR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.GR', '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': 6400000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^4.C_4^3', 'supersolvable': False, 'sylow': 0}
-
id: 222117432
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 800000000, 'counter': 230, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.GS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.GS', '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': 6400000000, 'subgroup_tex': 'C_5^8.C_2^3.C_2^5.C_4^3', 'supersolvable': False, 'sylow': 0}
-
id: 222117433
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 800000000, 'counter': 231, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.GT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.GT', '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': 6400000000, 'subgroup_tex': 'C_5^8.C_2^3.C_2^5.C_2^5.C_2', 'supersolvable': False, 'sylow': 0}
-
id: 222117434
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 800000000, 'counter': 232, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.GU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.GU', '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': 6400000000, 'subgroup_tex': 'C_5^8.C_2^3.C_2^6.C_2.C_2^4', 'supersolvable': False, 'sylow': 0}
-
id: 222117435
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 800000000, 'counter': 233, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.GV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.GV', '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': 6400000000, 'subgroup_tex': 'C_5^8.C_2^3.C_2^4.C_2^3.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
-
id: 222117436
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 800000000, 'counter': 234, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.GW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.GW', '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': 6400000000, 'subgroup_tex': 'C_5^8.C_2^3.C_2^4.C_2^3.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
-
id: 222117437
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 800000000, 'counter': 235, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.GX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.GX', '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': 6400000000, 'subgroup_tex': 'C_5^8.C_4^3.C_2^3.C_2^3.C_2^2', 'supersolvable': False, 'sylow': 0}
-
id: 222117438
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 800000000, 'counter': 236, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.GY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.GY', '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': 6400000000, 'subgroup_tex': 'C_5^8.C_4^3.C_2^3.C_2^3.C_2^2', 'supersolvable': False, 'sylow': 0}
-
id: 222117439
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 800000000, 'counter': 237, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.GZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.GZ', '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': 6400000000, 'subgroup_tex': 'C_5^8.C_4^3.C_4^3.C_2^2', 'supersolvable': False, 'sylow': 0}
-
id: 222117440
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 800000000, 'counter': 238, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.HA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.HA', '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': 6400000000, 'subgroup_tex': 'C_5^8.C_2^3.C_2^4.C_4^3.C_2', 'supersolvable': False, 'sylow': 0}
-
id: 222117441
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 800000000, 'counter': 239, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.HB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.HB', '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': 6400000000, 'subgroup_tex': 'C_5^8.C_4^3.C_2^2.C_4^3', 'supersolvable': False, 'sylow': 0}
-
id: 222117443
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 800000000, 'counter': 240, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.HC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.HC', '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': 6400000000, 'subgroup_tex': 'C_5^8.C_4^3.C_2^2.C_4^3', 'supersolvable': False, 'sylow': 0}
-
id: 222117444
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 800000000, 'counter': 241, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.HD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.HD', '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': 6400000000, 'subgroup_tex': 'C_5^8.C_2.C_4.C_2^6.C_2.C_2^4', 'supersolvable': False, 'sylow': 0}
-
id: 222117445
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 800000000, 'counter': 242, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.HE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.HE', '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': 6400000000, 'subgroup_tex': 'C_5^8.C_2.C_4.C_2^6.C_2.C_2^4', 'supersolvable': False, 'sylow': 0}
-
id: 222117446
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 800000000, 'counter': 243, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.HF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.HF', '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': 6400000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^5.C_2.C_2^4', 'supersolvable': False, 'sylow': 0}
-
id: 222117447
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 800000000, 'counter': 244, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.HG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.HG', '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': 6400000000, 'subgroup_tex': 'C_5^8.C_2^2.C_2^5.C_2^6.C_2', 'supersolvable': False, 'sylow': 0}
-
id: 222117448
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 800000000, 'counter': 245, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.HH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.HH', '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': 6400000000, 'subgroup_tex': 'C_5^8.C_2^3.C_2^6.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
-
id: 222117449
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 800000000, 'counter': 246, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.HI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.HI', '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': 6400000000, 'subgroup_tex': 'C_5^8.C_2^3.C_2^6.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
-
id: 222117450
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 800000000, 'counter': 247, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.HJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.HJ', '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': 6400000000, 'subgroup_tex': 'C_5^8.C_4^3.C_2^3.C_2^3.C_2^2', 'supersolvable': False, 'sylow': 0}
-
id: 222117451
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 800000000, 'counter': 248, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.HK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.HK', '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': 6400000000, 'subgroup_tex': 'C_5^8.C_4^3.C_2^3.C_2^3.C_2^2', 'supersolvable': False, 'sylow': 0}
-
id: 222117452
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 800000000, 'counter': 249, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.HL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.HL', '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': 6400000000, 'subgroup_tex': 'C_5^8.C_2^3.C_2^4.C_2^3.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
-
id: 222117454
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 800000000, 'counter': 250, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.HM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.HM', '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': 6400000000, 'subgroup_tex': 'C_5^8.C_2^3.C_2^4.C_2^3.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
-
id: 222117455
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 800000000, 'counter': 251, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.HN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.HN', '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': 6400000000, 'subgroup_tex': 'C_5^8.C_2^3.C_2^5.C_2^5.C_2', 'supersolvable': False, 'sylow': 0}
-
id: 222117456
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 800000000, 'counter': 252, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.HO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.HO', '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': 6400000000, 'subgroup_tex': 'C_5^8.C_2.C_2^5.C_2^5.C_2^3', 'supersolvable': False, 'sylow': 0}
-
id: 222117457
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 800000000, 'counter': 253, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.HP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.HP', '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': 6400000000, 'subgroup_tex': 'C_5^8.C_2^3.C_2^4.C_4^3.C_2', 'supersolvable': False, 'sylow': 0}
-
id: 222117458
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 800000000, 'counter': 254, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.HQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.HQ', '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': 6400000000, 'subgroup_tex': 'C_5^8.C_2^3.C_2^4.C_4^3.C_2', 'supersolvable': False, 'sylow': 0}
-
id: 222117459
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 800000000, 'counter': 255, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.HR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.HR', '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': 6400000000, 'subgroup_tex': 'C_5^8.C_2^3.C_2^6.C_2.C_2^4', 'supersolvable': False, 'sylow': 0}
-
id: 222117460
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 800000000, 'counter': 256, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.HS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.HS', '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': 6400000000, 'subgroup_tex': 'C_5^8.C_2.C_2^5.C_2^6.C_2^2', 'supersolvable': False, 'sylow': 0}
-
id: 222117461
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 800000000, 'counter': 257, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.HT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.HT', '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': 6400000000, 'subgroup_tex': 'C_5^8.C_2^3.C_2^4.C_2.C_4^3', 'supersolvable': False, 'sylow': 0}
-
id: 222117462
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 800000000, 'counter': 258, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8._.HU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.HU', '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': 6400000000, 'subgroup_tex': 'C_5^8.C_2^3.C_2^4.C_2.C_4^3', 'supersolvable': False, 'sylow': 0}
-
id: 222117463
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3200000000, 'counter': 259, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.16._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3200000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^6.C_2^3', 'supersolvable': False, 'sylow': 0}
-
id: 222117465
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3200000000, 'counter': 260, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.16._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3200000000, 'subgroup_tex': 'C_5^8.C_2^3.C_2^6.C_2^4', 'supersolvable': False, 'sylow': 0}
-
id: 222117466
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 3200000000, 'counter': 261, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.16._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.C', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3200000000, 'subgroup_tex': 'C_5^8.C_4^2.C_2^4.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
-
id: 222117467
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3200000000, 'counter': 262, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.16._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.D', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3200000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^6.C_2^3', 'supersolvable': False, 'sylow': 0}
-
id: 222117468
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3200000000, 'counter': 263, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.16._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.E', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3200000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^6.C_2^3', 'supersolvable': False, 'sylow': 0}
-
id: 222117469
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3200000000, 'counter': 264, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.16._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.F', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3200000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^6.C_2^3', 'supersolvable': False, 'sylow': 0}
-
id: 222117470
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 3200000000, 'counter': 265, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.16._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.G', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3200000000, 'subgroup_tex': 'C_5^8.C_2^2.C_2^5.C_2^5.C_2', 'supersolvable': False, 'sylow': 0}
-
id: 222117471
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 3200000000, 'counter': 266, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.16._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.H', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.12', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times Q_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3200000000, 'subgroup_tex': 'C_5^8.C_2^2.C_2^6.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
-
id: 222117472
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 3200000000, 'counter': 267, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.16._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.I', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.4', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3200000000, 'subgroup_tex': 'C_5^8.C_2^3.C_2^6.C_2.C_2^3', 'supersolvable': False, 'sylow': 0}
-
id: 222117473
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 3200000000, 'counter': 268, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.16._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.J', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.4', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3200000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^4.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
-
id: 222117474
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 3200000000, 'counter': 269, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.16._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.K', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3200000000, 'subgroup_tex': 'C_5^8.C_4^2.C_2^4.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
-
id: 222117476
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 3200000000, 'counter': 270, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.16._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.L', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3200000000, 'subgroup_tex': 'C_5^8.C_2^3.C_2^5.C_2^5', 'supersolvable': False, 'sylow': 0}
-
id: 222117477
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 3200000000, 'counter': 271, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.16._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.M', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.4', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3200000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^5.C_2.C_2^3', 'supersolvable': False, 'sylow': 0}
-
id: 222117478
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 3200000000, 'counter': 272, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.16._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.N', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.4', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3200000000, 'subgroup_tex': 'C_5^8.C_2^3.C_2^5.C_2.C_2^4', 'supersolvable': False, 'sylow': 0}
-
id: 222117479
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 3200000000, 'counter': 273, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.16._.O', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.O', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3200000000, 'subgroup_tex': 'C_5^8.C_4^2.C_2^4.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
-
id: 222117480
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 3200000000, 'counter': 274, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.16._.P', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.P', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3200000000, 'subgroup_tex': 'C_5^8.C_2^3.C_2^5.C_2^5', 'supersolvable': False, 'sylow': 0}
-
id: 222117481
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 3200000000, 'counter': 275, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.16._.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.Q', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3200000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^5.C_2.C_2^3', 'supersolvable': False, 'sylow': 0}
-
id: 222117482
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 3200000000, 'counter': 276, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.16._.R', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.R', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3200000000, 'subgroup_tex': 'C_5^8.C_2^3.C_2^5.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
-
id: 222117483
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 3200000000, 'counter': 277, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.16._.S', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.S', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.4', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3200000000, 'subgroup_tex': 'C_5^8.C_2^2.C_2^6.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
-
id: 222117484
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 3200000000, 'counter': 278, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.16._.T', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.T', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.4', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3200000000, 'subgroup_tex': 'C_5^8.C_2^3.C_2^5.C_2^5', 'supersolvable': False, 'sylow': 0}
-
id: 222117485
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 3200000000, 'counter': 279, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.16._.U', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.U', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3200000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^5.C_2.C_2^3', 'supersolvable': False, 'sylow': 0}
-
id: 222117487
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 3200000000, 'counter': 280, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.16._.V', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.V', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3200000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^4.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
-
id: 222117488
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 3200000000, 'counter': 281, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.16._.W', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.W', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.4', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3200000000, 'subgroup_tex': 'C_5^8.C_2^2.C_2^6.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
-
id: 222117489
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 3200000000, 'counter': 282, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.16._.X', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.X', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.4', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3200000000, 'subgroup_tex': 'C_5^8.C_2^3.C_2^5.C_2^5', 'supersolvable': False, 'sylow': 0}
-
id: 222117490
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 3200000000, 'counter': 283, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.16._.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.Y', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.4', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3200000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^5.C_2.C_2^3', 'supersolvable': False, 'sylow': 0}
-
id: 222117491
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 3200000000, 'counter': 284, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.16._.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.Z', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.4', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3200000000, 'subgroup_tex': 'C_5^8.C_2^3.C_2^6.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
-
id: 222117492
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 3200000000, 'counter': 285, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.16._.BA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.BA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3200000000, 'subgroup_tex': 'C_5^8.C_2^2.C_2^5.C_2^5.C_2', 'supersolvable': False, 'sylow': 0}
-
id: 222117493
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 3200000000, 'counter': 286, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.16._.BB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.BB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3200000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^6.C_2^3', 'supersolvable': False, 'sylow': 0}
-
id: 222117494
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 3200000000, 'counter': 287, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.16._.BC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.BC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.4', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3200000000, 'subgroup_tex': 'C_5^8.C_2^3.C_2^5.C_2.C_2^4', 'supersolvable': False, 'sylow': 0}
-
id: 222117495
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 3200000000, 'counter': 288, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.16._.BD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.BD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.4', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3200000000, 'subgroup_tex': 'C_5^8.C_2^3.C_2^5.C_2.C_2^4', 'supersolvable': False, 'sylow': 0}
-
id: 222117496
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 3200000000, 'counter': 289, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.16._.BE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.BE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3200000000, 'subgroup_tex': 'C_5^8.C_2^2.C_2^5.C_2^5.C_2', 'supersolvable': False, 'sylow': 0}
-
id: 222117498
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 3200000000, 'counter': 290, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.16._.BF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.BF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3200000000, 'subgroup_tex': 'C_5^8.C_2.C_2^6.C_2^6', 'supersolvable': False, 'sylow': 0}
-
id: 222117499
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 3200000000, 'counter': 291, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.16._.BG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.BG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3200000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^5.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
-
id: 222117500
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 3200000000, 'counter': 292, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.16._.BH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.BH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3200000000, 'subgroup_tex': 'C_5^8.C_2^3.C_2^6.C_2.C_2^3', 'supersolvable': False, 'sylow': 0}
-
id: 222117501
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 3200000000, 'counter': 293, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.16._.BI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.BI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3200000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^4.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
-
id: 222117502
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3200000000, 'counter': 294, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.16._.BJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.BJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3200000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^6.C_2^3', 'supersolvable': False, 'sylow': 0}
-
id: 222117503
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 3200000000, 'counter': 295, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.16._.BK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.BK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3200000000, 'subgroup_tex': 'C_5^8.C_2^6.C_2^6.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 222117504
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 3200000000, 'counter': 296, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.16._.BL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.BL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3200000000, 'subgroup_tex': 'C_5^8.C_4^2.C_2^4.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
-
id: 222117505
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3200000000, 'counter': 297, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.16._.BM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.BM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3200000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^6.C_2^3', 'supersolvable': False, 'sylow': 0}
-
id: 222117506
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3200000000, 'counter': 298, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.16._.BN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.BN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3200000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^6.C_2^3', 'supersolvable': False, 'sylow': 0}
-
id: 222117507
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3200000000, 'counter': 299, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.16._.BO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.BO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3200000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^6.C_2^3', 'supersolvable': False, 'sylow': 0}
-
id: 222117510
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 3200000000, 'counter': 300, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.16._.BP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.BP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3200000000, 'subgroup_tex': 'C_5^8.C_2^2.C_2^6.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
-
id: 222117511
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 3200000000, 'counter': 301, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.16._.BQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.BQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3200000000, 'subgroup_tex': 'C_5^8.C_2^2.C_2^5.C_2^5.C_2', 'supersolvable': False, 'sylow': 0}
-
id: 222117512
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 3200000000, 'counter': 302, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.16._.BR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.BR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3200000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^4.C_2.C_2^4', 'supersolvable': False, 'sylow': 0}
-
id: 222117513
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3200000000, 'counter': 303, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.16._.BS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.BS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.13', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4:C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3200000000, 'subgroup_tex': 'C_5^8.C_4^2.C_2^4.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
-
id: 222117514
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3200000000, 'counter': 304, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.16._.BT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.BT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3200000000, 'subgroup_tex': 'C_5^8.C_2^2.C_2^5.C_2^5.C_2', 'supersolvable': False, 'sylow': 0}
-
id: 222117515
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3200000000, 'counter': 305, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.16._.BU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.BU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.13', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4:C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3200000000, 'subgroup_tex': 'C_5^8.C_2^2.C_2^6.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
-
id: 222117516
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3200000000, 'counter': 306, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.16._.BV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.BV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3200000000, 'subgroup_tex': 'C_5^8.C_2^3.C_2^6.C_2^4', 'supersolvable': False, 'sylow': 0}
-
id: 222117517
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3200000000, 'counter': 307, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.16._.BW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.BW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.13', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4:C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3200000000, 'subgroup_tex': 'C_5^8.C_4^2.C_2^4.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
-
id: 222117518
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3200000000, 'counter': 308, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.16._.BX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.BX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3200000000, 'subgroup_tex': 'C_5^8.C_2^2.C_2^5.C_2^5.C_2', 'supersolvable': False, 'sylow': 0}
-
id: 222117519
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3200000000, 'counter': 309, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.16._.BY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.BY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.13', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4:C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3200000000, 'subgroup_tex': 'C_5^8.C_2^2.C_2^6.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
-
id: 222117521
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1600000000, 'counter': 310, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.32._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '32.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1600000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^6.C_2^2', 'supersolvable': False, 'sylow': 0}
-
id: 222117522
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1600000000, 'counter': 311, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.32._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '32.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1600000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^6.C_2^2', 'supersolvable': False, 'sylow': 0}
-
id: 222117523
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1600000000, 'counter': 312, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.32._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '32.C', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1600000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^6.C_2^2', 'supersolvable': False, 'sylow': 0}
-
id: 222117524
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1600000000, 'counter': 313, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.32._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '32.D', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1600000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^6.C_2^2', 'supersolvable': False, 'sylow': 0}
-
id: 222117525
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 1600000000, 'counter': 314, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.32._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '32.E', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1600000000, 'subgroup_tex': 'C_5^8.C_2.C_2^6.C_2^5', 'supersolvable': False, 'sylow': 0}
-
id: 222117526
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 1600000000, 'counter': 315, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.32._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '32.F', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1600000000, 'subgroup_tex': 'C_5^8.C_2.C_2^6.C_2^5', 'supersolvable': False, 'sylow': 0}
-
id: 222117527
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 1600000000, 'counter': 316, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.32._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '32.G', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1600000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^6.C_2^2', 'supersolvable': False, 'sylow': 0}
-
id: 222117528
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 1600000000, 'counter': 317, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.32._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '32.H', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1600000000, 'subgroup_tex': 'C_5^8.C_2^6.C_2^6', 'supersolvable': False, 'sylow': 0}
-
id: 222117529
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 1600000000, 'counter': 318, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.32._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '32.I', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.2', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2.C_4^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1600000000, 'subgroup_tex': 'C_5^8.C_4^2.C_2^3.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
-
id: 222117530
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 1600000000, 'counter': 319, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.32._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '32.J', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.2', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2.C_4^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1600000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^6.C_2^2', 'supersolvable': False, 'sylow': 0}
-
id: 222117532
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 1600000000, 'counter': 320, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.32._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '32.K', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.2', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2.C_4^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1600000000, 'subgroup_tex': 'C_5^8.C_4^2.C_2^3.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
-
id: 222117533
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 1600000000, 'counter': 321, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.32._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '32.L', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.2', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2.C_4^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1600000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^6.C_2^2', 'supersolvable': False, 'sylow': 0}
-
id: 222117534
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 1600000000, 'counter': 322, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.32._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '32.M', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.2', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2.C_4^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1600000000, 'subgroup_tex': 'C_5^8.C_4^2.C_2^3.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
-
id: 222117535
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 1600000000, 'counter': 323, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.32._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '32.N', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.2', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2.C_4^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1600000000, 'subgroup_tex': 'C_5^8.C_2.C_2^6.C_2^5', 'supersolvable': False, 'sylow': 0}
-
id: 222117536
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1600000000, 'counter': 324, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.32._.O', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '32.O', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.30', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2.D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1600000000, 'subgroup_tex': 'C_5^8.C_4^2.C_2^3.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
-
id: 222117537
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1600000000, 'counter': 325, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.32._.P', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '32.P', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1600000000, 'subgroup_tex': 'C_5^8.C_2^3.C_2^6.C_2^3', 'supersolvable': False, 'sylow': 0}
-
id: 222117538
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1600000000, 'counter': 326, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.32._.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '32.Q', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.25', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1600000000, 'subgroup_tex': 'C_5^8.C_4^2.C_2^3.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
-
id: 222117539
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1600000000, 'counter': 327, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.32._.R', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '32.R', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.25', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1600000000, 'subgroup_tex': 'C_5^8.C_2.C_2^5.C_2^5.C_2', 'supersolvable': False, 'sylow': 0}
-
id: 222117540
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 1600000000, 'counter': 328, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.32._.S', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '32.S', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.23', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2.D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1600000000, 'subgroup_tex': 'C_5^8.C_4^2.C_2^3.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
-
id: 222117541
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 1600000000, 'counter': 329, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.32._.T', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '32.T', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.22', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1600000000, 'subgroup_tex': 'C_5^8.C_2^6.C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 222117543
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1600000000, 'counter': 330, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.32._.U', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '32.U', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.29', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2:Q_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1600000000, 'subgroup_tex': 'C_5^8.C_4^2.C_2^3.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
-
id: 222117544
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1600000000, 'counter': 331, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.32._.V', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '32.V', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.29', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2:Q_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1600000000, 'subgroup_tex': 'C_5^8.C_4^2.C_2^3.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
-
id: 222117545
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 1600000000, 'counter': 332, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.32._.W', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '32.W', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.30', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2.D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1600000000, 'subgroup_tex': 'C_5^8.C_2^6.C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 222117546
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 1600000000, 'counter': 333, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.32._.X', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '32.X', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1600000000, 'subgroup_tex': 'C_5^8.C_2^6.C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 222117547
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1600000000, 'counter': 334, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.32._.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '32.Y', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.24', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1600000000, 'subgroup_tex': 'C_5^8.C_4^2.C_2^3.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
-
id: 222117548
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1600000000, 'counter': 335, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.32._.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '32.Z', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.24', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1600000000, 'subgroup_tex': 'C_5^8.C_4^2.C_2^3.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
-
id: 222117549
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 1600000000, 'counter': 336, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.32._.BA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '32.BA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.2', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2.C_4^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1600000000, 'subgroup_tex': 'C_5^8.C_4^2.C_2^3.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
-
id: 222117550
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 1600000000, 'counter': 337, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.32._.BB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '32.BB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.2', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2.C_4^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1600000000, 'subgroup_tex': 'C_5^8.C_2.C_2^6.C_2^5', 'supersolvable': False, 'sylow': 0}
-
id: 222117551
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1600000000, 'counter': 338, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.32._.BC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '32.BC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.22', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1600000000, 'subgroup_tex': 'C_5^8.C_2^3.C_2^6.C_2^3', 'supersolvable': False, 'sylow': 0}
-
id: 222117552
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1600000000, 'counter': 339, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.32._.BD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '32.BD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.22', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1600000000, 'subgroup_tex': 'C_5^8.C_2^3.C_2^6.C_2^3', 'supersolvable': False, 'sylow': 0}
-
id: 222117554
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1600000000, 'counter': 340, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.32._.BE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '32.BE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.29', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2:Q_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1600000000, 'subgroup_tex': 'C_5^8.C_2^3.C_2^5.C_2^4', 'supersolvable': False, 'sylow': 0}
-
id: 222117555
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1600000000, 'counter': 341, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.32._.BF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '32.BF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.29', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2:Q_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1600000000, 'subgroup_tex': 'C_5^8.C_2^3.C_2^5.C_2^4', 'supersolvable': False, 'sylow': 0}
-
id: 222117556
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1600000000, 'counter': 342, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.32._.BG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '32.BG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.25', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1600000000, 'subgroup_tex': 'C_5^8.C_4^2.C_2^3.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
-
id: 222117557
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 1600000000, 'counter': 343, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.32._.BH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '32.BH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1600000000, 'subgroup_tex': 'C_5^8.C_2^6.C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 222117558
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1600000000, 'counter': 344, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.32._.BI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '32.BI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.25', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1600000000, 'subgroup_tex': 'C_5^8.C_2^3.C_2^5.C_2^4', 'supersolvable': False, 'sylow': 0}
-
id: 222117559
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1600000000, 'counter': 345, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.32._.BJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '32.BJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.25', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1600000000, 'subgroup_tex': 'C_5^8.C_4^2.C_2^3.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
-
id: 222117560
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1600000000, 'counter': 346, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.32._.BK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '32.BK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.25', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1600000000, 'subgroup_tex': 'C_5^8.C_2^3.C_2^5.C_2^4', 'supersolvable': False, 'sylow': 0}
-
id: 222117561
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 1600000000, 'counter': 347, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.32._.BL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '32.BL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.22', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1600000000, 'subgroup_tex': 'C_5^8.C_4^2.C_2^3.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
-
id: 222117562
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 1600000000, 'counter': 348, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.32._.BM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '32.BM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.23', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2.D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1600000000, 'subgroup_tex': 'C_5^8.C_2^6.C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 222117563
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 1600000000, 'counter': 349, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.32._.BN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '32.BN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.21', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1600000000, 'subgroup_tex': 'C_5^8.C_4^2.C_2^3.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
-
id: 222117565
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1600000000, 'counter': 350, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.32._.BO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '32.BO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1600000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^6.C_2^2', 'supersolvable': False, 'sylow': 0}
-
id: 222117566
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1600000000, 'counter': 351, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.32._.BP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '32.BP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1600000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^6.C_2^2', 'supersolvable': False, 'sylow': 0}
-
id: 222117567
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1600000000, 'counter': 352, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.32._.BQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '32.BQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1600000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^6.C_2^2', 'supersolvable': False, 'sylow': 0}
-
id: 222117568
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1600000000, 'counter': 353, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.32._.BR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '32.BR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1600000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^6.C_2^2', 'supersolvable': False, 'sylow': 0}
-
id: 222117569
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1600000000, 'counter': 354, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.32._.BS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '32.BS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.28', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1600000000, 'subgroup_tex': 'C_5^8.C_2.C_2^5.C_2^5.C_2', 'supersolvable': False, 'sylow': 0}
-
id: 222117570
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1600000000, 'counter': 355, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.32._.BT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '32.BT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.28', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1600000000, 'subgroup_tex': 'C_5^8.C_4^2.C_2^3.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
-
id: 222117571
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1600000000, 'counter': 356, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.32._.BU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '32.BU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.30', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2.D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1600000000, 'subgroup_tex': 'C_5^8.C_4^2.C_2^3.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
-
id: 222117572
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1600000000, 'counter': 357, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.32._.BV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '32.BV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1600000000, 'subgroup_tex': 'C_5^8.C_2^3.C_2^6.C_2^3', 'supersolvable': False, 'sylow': 0}
-
id: 222117573
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 1600000000, 'counter': 358, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.32._.BW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '32.BW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.23', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2.D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1600000000, 'subgroup_tex': 'C_5^8.C_4^2.C_2^3.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
-
id: 222117574
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 1600000000, 'counter': 359, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.32._.BX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '32.BX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.22', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1600000000, 'subgroup_tex': 'C_5^8.C_2^6.C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 222117576
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1600000000, 'counter': 360, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.32._.BY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '32.BY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.25', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1600000000, 'subgroup_tex': 'C_5^8.C_4^2.C_2^3.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
-
id: 222117577
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1600000000, 'counter': 361, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.32._.BZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '32.BZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.25', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1600000000, 'subgroup_tex': 'C_5^8.C_2.C_2^5.C_2^5.C_2', 'supersolvable': False, 'sylow': 0}
-
id: 222117578
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1600000000, 'counter': 362, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.32._.CA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '32.CA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.28', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1600000000, 'subgroup_tex': 'C_5^8.C_4^2.C_2^3.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
-
id: 222117579
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1600000000, 'counter': 363, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.32._.CB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '32.CB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.28', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1600000000, 'subgroup_tex': 'C_5^8.C_2.C_2^5.C_2^5.C_2', 'supersolvable': False, 'sylow': 0}
-
id: 222117580
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 1600000000, 'counter': 364, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.32._.CC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '32.CC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.30', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2.D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1600000000, 'subgroup_tex': 'C_5^8.C_2^6.C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 222117581
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 800000000, 'counter': 365, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.64._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '64.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.18', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 800000000, 'subgroup_tex': 'C_5^8.C_2.C_2^5.C_2^5', 'supersolvable': False, 'sylow': 0}
-
id: 222117582
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 800000000, 'counter': 366, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.64._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '64.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.20', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 800000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^6.C_2', 'supersolvable': False, 'sylow': 0}
-
id: 222117583
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 800000000, 'counter': 367, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.64._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '64.C', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.20', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 800000000, 'subgroup_tex': 'C_5^8.C_2^5.C_2^6', 'supersolvable': False, 'sylow': 0}
-
id: 222117584
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 800000000, 'counter': 368, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.64._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '64.D', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.25', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '\\OD_{16}:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 800000000, 'subgroup_tex': 'C_5^8.C_2.C_2^5.C_2^5', 'supersolvable': False, 'sylow': 0}
-
id: 222117585
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 800000000, 'counter': 369, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.64._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '64.E', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.67', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 800000000, 'subgroup_tex': 'C_5^8.C_2.C_2^4.C_2^5.C_2', 'supersolvable': False, 'sylow': 0}
-
id: 222117587
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 800000000, 'counter': 370, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.64._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '64.F', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.102', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 800000000, 'subgroup_tex': 'C_5^8.C_2^3.C_2^6.C_2^2', 'supersolvable': False, 'sylow': 0}
-
id: 222117588
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 800000000, 'counter': 371, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.64._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '64.G', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.102', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 800000000, 'subgroup_tex': 'C_5^8.C_2^3.C_2^6.C_2^2', 'supersolvable': False, 'sylow': 0}
-
id: 222117589
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 800000000, 'counter': 372, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.64._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '64.H', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.66', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 800000000, 'subgroup_tex': 'C_5^8.C_2^5.C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 222117590
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 800000000, 'counter': 373, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.64._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '64.I', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.25', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '\\OD_{16}:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 800000000, 'subgroup_tex': 'C_5^8.C_2.C_2^5.C_2^5', 'supersolvable': False, 'sylow': 0}
-
id: 222117591
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 800000000, 'counter': 374, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.64._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '64.J', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.101', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 800000000, 'subgroup_tex': 'C_5^8.C_2^3.C_2^6.C_2^2', 'supersolvable': False, 'sylow': 0}
-
id: 222117592
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 800000000, 'counter': 375, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.64._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '64.K', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.101', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 800000000, 'subgroup_tex': 'C_5^8.C_2^3.C_2^6.C_2^2', 'supersolvable': False, 'sylow': 0}
-
id: 222117593
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 800000000, 'counter': 376, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.64._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '64.L', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.18', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 800000000, 'subgroup_tex': 'C_5^8.C_2.C_2^5.C_2^5', 'supersolvable': False, 'sylow': 0}
-
id: 222117594
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 800000000, 'counter': 377, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.64._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '64.M', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.18', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 800000000, 'subgroup_tex': 'C_5^8.C_2.C_2^5.C_2^5', 'supersolvable': False, 'sylow': 0}
-
id: 222117595
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 800000000, 'counter': 378, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.64._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '64.N', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.20', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 800000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^6.C_2', 'supersolvable': False, 'sylow': 0}
-
id: 222117596
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 800000000, 'counter': 379, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.64._.O', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '64.O', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.20', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 800000000, 'subgroup_tex': 'C_5^8.C_2^5.C_2^6', 'supersolvable': False, 'sylow': 0}
-
id: 222117598
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 800000000, 'counter': 380, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.64._.P', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '64.P', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.25', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '\\OD_{16}:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 800000000, 'subgroup_tex': 'C_5^8.C_2.C_2^5.C_2^5', 'supersolvable': False, 'sylow': 0}
-
id: 222117599
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 800000000, 'counter': 381, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.64._.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '64.Q', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.66', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 800000000, 'subgroup_tex': 'C_5^8.C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 222117600
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 800000000, 'counter': 382, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.64._.R', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '64.R', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.102', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 800000000, 'subgroup_tex': 'C_5^8.C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 222117601
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 800000000, 'counter': 383, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.64._.S', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '64.S', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.25', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '\\OD_{16}:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 800000000, 'subgroup_tex': 'C_5^8.C_2.C_2^5.C_2^5', 'supersolvable': False, 'sylow': 0}
-
id: 222117602
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 800000000, 'counter': 384, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.64._.T', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '64.T', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.102', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 800000000, 'subgroup_tex': 'C_5^8.C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 222117603
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 800000000, 'counter': 385, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.64._.U', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '64.U', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.101', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 800000000, 'subgroup_tex': 'C_5^8.C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 222117604
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 800000000, 'counter': 386, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.64._.V', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '64.V', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.58', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2:C_4^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 800000000, 'subgroup_tex': 'C_5^8.C_2.C_2^4.C_2^5.C_2', 'supersolvable': False, 'sylow': 0}
-
id: 222117605
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 800000000, 'counter': 387, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.64._.W', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '64.W', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.67', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 800000000, 'subgroup_tex': 'C_5^8.C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 222117606
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 800000000, 'counter': 388, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.64._.X', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '64.X', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.136', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 800000000, 'subgroup_tex': 'C_5^8.C_2^3.C_2^6.C_2^2', 'supersolvable': False, 'sylow': 0}
-
id: 222117607
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 800000000, 'counter': 389, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.64._.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '64.Y', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.137', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4.D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 800000000, 'subgroup_tex': 'C_5^8.C_2^3.C_2^6.C_2^2', 'supersolvable': False, 'sylow': 0}
-
id: 222117609
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 800000000, 'counter': 390, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.64._.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '64.Z', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.135', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4.D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 800000000, 'subgroup_tex': 'C_5^8.C_2^3.C_2^6.C_2^2', 'supersolvable': False, 'sylow': 0}
-
id: 222117610
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 800000000, 'counter': 391, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.64._.BA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '64.BA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.134', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 800000000, 'subgroup_tex': 'C_5^8.C_2^3.C_2^6.C_2^2', 'supersolvable': False, 'sylow': 0}
-
id: 222117611
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 800000000, 'counter': 392, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.64._.BB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '64.BB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.135', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4.D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 800000000, 'subgroup_tex': 'C_5^8.C_2^3.C_2^6.C_2^2', 'supersolvable': False, 'sylow': 0}
-
id: 222117612
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 800000000, 'counter': 393, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.64._.BC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '64.BC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.134', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 800000000, 'subgroup_tex': 'C_5^8.C_2^3.C_2^6.C_2^2', 'supersolvable': False, 'sylow': 0}
-
id: 222117613
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 800000000, 'counter': 394, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.64._.BD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '64.BD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.136', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 800000000, 'subgroup_tex': 'C_5^8.C_2^3.C_2^6.C_2^2', 'supersolvable': False, 'sylow': 0}
-
id: 222117614
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 800000000, 'counter': 395, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.64._.BE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '64.BE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.137', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4.D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 800000000, 'subgroup_tex': 'C_5^8.C_2^3.C_2^6.C_2^2', 'supersolvable': False, 'sylow': 0}
-
id: 222117615
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 800000000, 'counter': 396, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.64._.BF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '64.BF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.136', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 800000000, 'subgroup_tex': 'C_5^8.C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 222117616
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 800000000, 'counter': 397, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.64._.BG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '64.BG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.134', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 800000000, 'subgroup_tex': 'C_5^8.C_2^5.C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 222117617
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 800000000, 'counter': 398, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.64._.BH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '64.BH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.136', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 800000000, 'subgroup_tex': 'C_5^8.C_2^5.C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 222117618
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 800000000, 'counter': 399, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.64._.BI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '64.BI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.134', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 800000000, 'subgroup_tex': 'C_5^8.C_2^5.C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 222117621
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 800000000, 'counter': 400, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.64._.BJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '64.BJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.58', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2:C_4^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 800000000, 'subgroup_tex': 'C_5^8.C_2.C_2^4.C_2^5.C_2', 'supersolvable': False, 'sylow': 0}
-
id: 222117622
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 800000000, 'counter': 401, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.64._.BK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '64.BK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.139', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 800000000, 'subgroup_tex': 'C_5^8.C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 222117623
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 800000000, 'counter': 402, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.64._.BL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '64.BL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.138', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\wr C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 800000000, 'subgroup_tex': 'C_5^8.C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 222117624
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 800000000, 'counter': 403, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.64._.BM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '64.BM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.139', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 800000000, 'subgroup_tex': 'C_5^8.C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 222117625
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 800000000, 'counter': 404, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.64._.BN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '64.BN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.138', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\wr C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 800000000, 'subgroup_tex': 'C_5^8.C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 222117626
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 800000000, 'counter': 405, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.64._.BO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '64.BO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.101', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 800000000, 'subgroup_tex': 'C_5^8.C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 222117627
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 800000000, 'counter': 406, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.64._.BP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '64.BP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.61', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 800000000, 'subgroup_tex': 'C_5^8.C_2.C_2^4.C_2^5.C_2', 'supersolvable': False, 'sylow': 0}
-
id: 222117628
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 800000000, 'counter': 407, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.64._.BQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '64.BQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.62', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 800000000, 'subgroup_tex': 'C_5^8.C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 222117629
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 800000000, 'counter': 408, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.64._.BR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '64.BR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.60', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 800000000, 'subgroup_tex': 'C_5^8.C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 222117630
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 800000000, 'counter': 409, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.64._.BS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '64.BS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.66', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 800000000, 'subgroup_tex': 'C_5^8.C_2.C_2^4.C_2^5.C_2', 'supersolvable': False, 'sylow': 0}
-
id: 222117632
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 800000000, 'counter': 410, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.64._.BT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '64.BT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.61', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 800000000, 'subgroup_tex': 'C_5^8.C_2.C_2^4.C_2^5.C_2', 'supersolvable': False, 'sylow': 0}
-
id: 222117633
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 800000000, 'counter': 411, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.64._.BU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '64.BU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.101', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 800000000, 'subgroup_tex': 'C_5^8.C_2^3.C_2^6.C_2^2', 'supersolvable': False, 'sylow': 0}
-
id: 222117634
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 800000000, 'counter': 412, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.64._.BV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '64.BV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.66', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 800000000, 'subgroup_tex': 'C_5^8.C_2.C_2^4.C_2^5.C_2', 'supersolvable': False, 'sylow': 0}
-
id: 222117635
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 800000000, 'counter': 413, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.64._.BW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '64.BW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.56', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2.C_4^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 800000000, 'subgroup_tex': 'C_5^8.C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 222117636
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 800000000, 'counter': 414, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.64._.BX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '64.BX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.101', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 800000000, 'subgroup_tex': 'C_5^8.C_2^3.C_2^6.C_2^2', 'supersolvable': False, 'sylow': 0}
-
id: 222117637
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 800000000, 'counter': 415, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.64._.BY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '64.BY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.67', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 800000000, 'subgroup_tex': 'C_5^8.C_2^5.C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 222117638
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 800000000, 'counter': 416, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.64._.BZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '64.BZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.67', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 800000000, 'subgroup_tex': 'C_5^8.C_2.C_2^4.C_2^5.C_2', 'supersolvable': False, 'sylow': 0}
-
id: 222117639
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 800000000, 'counter': 417, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.64._.CA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '64.CA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.102', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 800000000, 'subgroup_tex': 'C_5^8.C_2^3.C_2^6.C_2^2', 'supersolvable': False, 'sylow': 0}
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id: 222117640
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 800000000, 'counter': 418, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.64._.CB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '64.CB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.102', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 800000000, 'subgroup_tex': 'C_5^8.C_2^3.C_2^6.C_2^2', 'supersolvable': False, 'sylow': 0}
-
id: 222117641
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 800000000, 'counter': 419, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.64._.CC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '64.CC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.18', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 800000000, 'subgroup_tex': 'C_5^8.C_2.C_2^5.C_2^5', 'supersolvable': False, 'sylow': 0}
-
id: 222117643
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 400000000, 'counter': 420, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.128._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '128.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.20', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2.D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 400000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^6', 'supersolvable': False, 'sylow': 0}
-
id: 222117644
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 400000000, 'counter': 421, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.128._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '128.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.524', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4.D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 400000000, 'subgroup_tex': 'C_5^8.C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117645
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 400000000, 'counter': 422, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.128._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '128.C', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.525', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '(C_2\\times D_4).D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 400000000, 'subgroup_tex': 'C_5^8.C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117646
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 400000000, 'counter': 423, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.128._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '128.D', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.20', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2.D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 400000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^5.C_2', 'supersolvable': False, 'sylow': 0}
-
id: 222117647
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 400000000, 'counter': 424, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.128._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '128.E', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.20', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2.D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 400000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^6', 'supersolvable': False, 'sylow': 0}
-
id: 222117648
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 400000000, 'counter': 425, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.128._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '128.F', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.20', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2.D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 400000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^5.C_2', 'supersolvable': False, 'sylow': 0}
-
id: 222117649
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 400000000, 'counter': 426, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.128._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '128.G', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.20', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2.D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 400000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^6', 'supersolvable': False, 'sylow': 0}
-
id: 222117650
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 400000000, 'counter': 427, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.128._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '128.H', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.20', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2.D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 400000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^5.C_2', 'supersolvable': False, 'sylow': 0}
-
id: 222117651
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 400000000, 'counter': 428, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.128._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '128.I', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.20', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2.D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 400000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^6', 'supersolvable': False, 'sylow': 0}
-
id: 222117652
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 400000000, 'counter': 429, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.128._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '128.J', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.524', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4.D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 400000000, 'subgroup_tex': 'C_5^8.C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117654
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 400000000, 'counter': 430, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.128._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '128.K', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.521', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4.D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 400000000, 'subgroup_tex': 'C_5^8.C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117655
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 400000000, 'counter': 431, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.128._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '128.L', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.932', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 400000000, 'subgroup_tex': 'C_5^8.C_2^5.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 222117656
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 400000000, 'counter': 432, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.128._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '128.M', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.932', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 400000000, 'subgroup_tex': 'C_5^8.C_2^5.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 222117657
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 400000000, 'counter': 433, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.128._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '128.N', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.932', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 400000000, 'subgroup_tex': 'C_5^8.C_2^5.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 222117658
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 400000000, 'counter': 434, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.128._.O', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '128.O', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.932', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 400000000, 'subgroup_tex': 'C_5^8.C_2^5.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 222117659
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 400000000, 'counter': 435, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.128._.P', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '128.P', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.592', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:(C_2\\times C_4)', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 400000000, 'subgroup_tex': 'C_5^8.C_2.C_2^4.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
-
id: 222117660
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 400000000, 'counter': 436, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.128._.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '128.Q', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.591', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:(C_2\\times C_4)', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 400000000, 'subgroup_tex': 'C_5^8.C_2.C_2^4.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
-
id: 222117661
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 400000000, 'counter': 437, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.128._.R', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '128.R', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.592', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:(C_2\\times C_4)', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 400000000, 'subgroup_tex': 'C_5^8.C_2.C_2^4.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
-
id: 222117662
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 400000000, 'counter': 438, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.128._.S', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '128.S', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.591', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:(C_2\\times C_4)', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 400000000, 'subgroup_tex': 'C_5^8.C_2.C_2^4.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
-
id: 222117663
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 400000000, 'counter': 439, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.128._.T', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '128.T', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.636', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2.D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 400000000, 'subgroup_tex': 'C_5^8.C_2^5.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 222117665
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 400000000, 'counter': 440, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.128._.U', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '128.U', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.636', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2.D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 400000000, 'subgroup_tex': 'C_5^8.C_2^5.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 222117666
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 400000000, 'counter': 441, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.128._.V', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '128.V', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.636', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2.D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 400000000, 'subgroup_tex': 'C_5^8.C_2^5.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 222117667
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 400000000, 'counter': 442, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.128._.W', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '128.W', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.636', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2.D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 400000000, 'subgroup_tex': 'C_5^8.C_2^5.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 222117668
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 400000000, 'counter': 443, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.128._.X', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '128.X', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.617', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4.D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 400000000, 'subgroup_tex': 'C_5^8.C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117669
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 400000000, 'counter': 444, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.128._.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '128.Y', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.619', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4.D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 400000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 222117670
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 400000000, 'counter': 445, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.128._.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '128.Z', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.521', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4.D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 400000000, 'subgroup_tex': 'C_5^8.C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117671
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 400000000, 'counter': 446, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.128._.BA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '128.BA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.524', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4.D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 400000000, 'subgroup_tex': 'C_5^8.C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117672
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 400000000, 'counter': 447, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.128._.BB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '128.BB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.524', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4.D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 400000000, 'subgroup_tex': 'C_5^8.C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117673
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 400000000, 'counter': 448, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.128._.BC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '128.BC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.521', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4.D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 400000000, 'subgroup_tex': 'C_5^8.C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117674
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 400000000, 'counter': 449, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.128._.BD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '128.BD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.490', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4:C_4^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 400000000, 'subgroup_tex': 'C_5^8.C_2.C_2^4.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
-
id: 222117676
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 400000000, 'counter': 450, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.128._.BE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '128.BE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.521', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4.D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 400000000, 'subgroup_tex': 'C_5^8.C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117677
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 400000000, 'counter': 451, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.128._.BF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '128.BF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.491', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4.C_4^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 400000000, 'subgroup_tex': 'C_5^8.C_2.C_2^4.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
-
id: 222117678
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 400000000, 'counter': 452, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.128._.BG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '128.BG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.622', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4.D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 400000000, 'subgroup_tex': 'C_5^8.C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117679
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 400000000, 'counter': 453, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.128._.BH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '128.BH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.621', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4.D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 400000000, 'subgroup_tex': 'C_5^8.C_2^5.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 222117680
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 400000000, 'counter': 454, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.128._.BI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '128.BI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.522', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4.D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 400000000, 'subgroup_tex': 'C_5^8.C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117681
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 400000000, 'counter': 455, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.128._.BJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '128.BJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.522', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4.D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 400000000, 'subgroup_tex': 'C_5^8.C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117682
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 400000000, 'counter': 456, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.128._.BK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '128.BK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.491', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4.C_4^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 400000000, 'subgroup_tex': 'C_5^8.C_2.C_2^4.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
-
id: 222117683
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 400000000, 'counter': 457, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.128._.BL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '128.BL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.490', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4:C_4^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 400000000, 'subgroup_tex': 'C_5^8.C_2.C_2^4.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
-
id: 222117684
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 400000000, 'counter': 458, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.128._.BM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '128.BM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.465', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4.D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 400000000, 'subgroup_tex': 'C_5^8.C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117685
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 400000000, 'counter': 459, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.128._.BN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '128.BN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.614', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '\\OD_{16}:(C_2\\times C_4)', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 400000000, 'subgroup_tex': 'C_5^8.C_2.C_2^4.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
-
id: 222117687
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 400000000, 'counter': 460, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.128._.BO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '128.BO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.615', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '\\OD_{16}:(C_2\\times C_4)', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 400000000, 'subgroup_tex': 'C_5^8.C_2.C_2^4.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
-
id: 222117688
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 400000000, 'counter': 461, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.128._.BP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '128.BP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.615', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '\\OD_{16}:(C_2\\times C_4)', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 400000000, 'subgroup_tex': 'C_5^8.C_2.C_2^4.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
-
id: 222117689
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 400000000, 'counter': 462, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.128._.BQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '128.BQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.614', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '\\OD_{16}:(C_2\\times C_4)', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 400000000, 'subgroup_tex': 'C_5^8.C_2.C_2^4.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
-
id: 222117690
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 400000000, 'counter': 463, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.128._.BR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '128.BR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.588', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4.D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 400000000, 'subgroup_tex': 'C_5^8.C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117691
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 400000000, 'counter': 464, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.128._.BS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '128.BS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.588', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4.D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 400000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 222117692
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 400000000, 'counter': 465, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.128._.BT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '128.BT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.599', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4.D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 400000000, 'subgroup_tex': 'C_5^8.C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117693
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 400000000, 'counter': 466, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.128._.BU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '128.BU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.599', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4.D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 400000000, 'subgroup_tex': 'C_5^8.C_2^5.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 222117694
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 400000000, 'counter': 467, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.128._.BV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '128.BV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.475', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_4^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 400000000, 'subgroup_tex': 'C_5^8.C_2^5.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 222117695
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 400000000, 'counter': 468, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.128._.BW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '128.BW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.165', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_4^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 400000000, 'subgroup_tex': 'C_5^8.C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117696
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 400000000, 'counter': 469, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.128._.BX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '128.BX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.462', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4.D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 400000000, 'subgroup_tex': 'C_5^8.C_2^5.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 222117698
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 400000000, 'counter': 470, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.128._.BY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '128.BY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.462', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4.D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 400000000, 'subgroup_tex': 'C_5^8.C_2^5.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 222117699
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 400000000, 'counter': 471, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.128._.BZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '128.BZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.464', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4.D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 400000000, 'subgroup_tex': 'C_5^8.C_2^5.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 222117700
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 400000000, 'counter': 472, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.128._.CA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '128.CA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.475', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_4^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 400000000, 'subgroup_tex': 'C_5^8.C_2^5.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 222117701
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 400000000, 'counter': 473, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.128._.CB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '128.CB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.538', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2.D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 400000000, 'subgroup_tex': 'C_5^8.C_2.C_2^4.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
-
id: 222117702
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 400000000, 'counter': 474, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.128._.CC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '128.CC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.538', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2.D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 400000000, 'subgroup_tex': 'C_5^8.C_2.C_2^4.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
-
id: 222117703
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 400000000, 'counter': 475, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.128._.CD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '128.CD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.538', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2.D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 400000000, 'subgroup_tex': 'C_5^8.C_2.C_2^4.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
-
id: 222117704
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 400000000, 'counter': 476, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.128._.CE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '128.CE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.538', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2.D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 400000000, 'subgroup_tex': 'C_5^8.C_2.C_2^4.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
-
id: 222117705
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 400000000, 'counter': 477, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.128._.CF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '128.CF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.558', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4.D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 400000000, 'subgroup_tex': 'C_5^8.C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117706
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 400000000, 'counter': 478, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.128._.CG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '128.CG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.558', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4.D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 400000000, 'subgroup_tex': 'C_5^8.C_2^5.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 222117707
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 400000000, 'counter': 479, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.128._.CH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '128.CH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.521', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4.D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 400000000, 'subgroup_tex': 'C_5^8.C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117709
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 400000000, 'counter': 480, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.128._.CI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '128.CI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.521', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4.D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 400000000, 'subgroup_tex': 'C_5^8.C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117710
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 400000000, 'counter': 481, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.128._.CJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '128.CJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.525', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '(C_2\\times D_4).D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 400000000, 'subgroup_tex': 'C_5^8.C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117711
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 400000000, 'counter': 482, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.128._.CK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '128.CK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.20', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2.D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 400000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^5.C_2', 'supersolvable': False, 'sylow': 0}
-
id: 222117712
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 200000000, 'counter': 483, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.256._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '256.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.213', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_8^2:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 200000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^5', 'supersolvable': False, 'sylow': 0}
-
id: 222117713
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 200000000, 'counter': 484, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.256._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '256.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.213', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_8^2:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 200000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^5', 'supersolvable': False, 'sylow': 0}
-
id: 222117714
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 200000000, 'counter': 485, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.256._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '256.C', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.213', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_8^2:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 200000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^5', 'supersolvable': False, 'sylow': 0}
-
id: 222117715
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 200000000, 'counter': 486, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.256._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '256.D', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.2413', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2.(C_2\\times D_4)', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 200000000, 'subgroup_tex': 'C_5^8.C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117716
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 200000000, 'counter': 487, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.256._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '256.E', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.2413', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2.(C_2\\times D_4)', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 200000000, 'subgroup_tex': 'C_5^8.C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117717
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 200000000, 'counter': 488, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.256._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '256.F', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.2416', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2.(C_2\\times D_4)', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 200000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 222117718
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 200000000, 'counter': 489, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.256._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '256.G', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.1334', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5.D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 200000000, 'subgroup_tex': 'C_5^8.C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117720
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 200000000, 'counter': 490, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.256._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '256.H', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.2416', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2.(C_2\\times D_4)', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 200000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 222117721
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 200000000, 'counter': 491, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.256._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '256.I', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.6037', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '(C_2\\times C_4^2).D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 200000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 222117722
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 200000000, 'counter': 492, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.256._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '256.J', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.6037', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '(C_2\\times C_4^2).D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 200000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 222117723
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 200000000, 'counter': 493, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.256._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '256.K', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.5954', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '(C_2\\times C_4^2).D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 200000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 222117724
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 200000000, 'counter': 494, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.256._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '256.L', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.5954', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '(C_2\\times C_4^2).D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 200000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 222117725
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 200000000, 'counter': 495, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.256._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '256.M', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.1429', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'Q_8^2:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 200000000, 'subgroup_tex': 'C_5^8.C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117726
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 200000000, 'counter': 496, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.256._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '256.N', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.1429', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'Q_8^2:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 200000000, 'subgroup_tex': 'C_5^8.C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117727
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 200000000, 'counter': 497, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.256._.O', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '256.O', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.1428', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 200000000, 'subgroup_tex': 'C_5^8.C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117728
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 200000000, 'counter': 498, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.256._.P', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '256.P', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.1428', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 200000000, 'subgroup_tex': 'C_5^8.C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117729
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 200000000, 'counter': 499, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.256._.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '256.Q', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.1519', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^3.C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 200000000, 'subgroup_tex': 'C_5^8.C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117732
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 200000000, 'counter': 500, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.256._.R', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '256.R', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.1518', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^3:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 200000000, 'subgroup_tex': 'C_5^8.C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117733
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 200000000, 'counter': 501, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.256._.S', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '256.S', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.1520', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^3.C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 200000000, 'subgroup_tex': 'C_5^8.C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117734
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 200000000, 'counter': 502, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.256._.T', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '256.T', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.1520', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^3.C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 200000000, 'subgroup_tex': 'C_5^8.C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117735
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 200000000, 'counter': 503, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.256._.U', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '256.U', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.1430', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^3.C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 200000000, 'subgroup_tex': 'C_5^8.C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117736
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 200000000, 'counter': 504, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.256._.V', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '256.V', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.1428', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 200000000, 'subgroup_tex': 'C_5^8.C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117737
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 200000000, 'counter': 505, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.256._.W', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '256.W', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.1428', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 200000000, 'subgroup_tex': 'C_5^8.C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117738
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 200000000, 'counter': 506, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.256._.X', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '256.X', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.1430', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^3.C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 200000000, 'subgroup_tex': 'C_5^8.C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117739
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 200000000, 'counter': 507, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.256._.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '256.Y', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.1430', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^3.C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 200000000, 'subgroup_tex': 'C_5^8.C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117740
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 200000000, 'counter': 508, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.256._.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '256.Z', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.1428', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 200000000, 'subgroup_tex': 'C_5^8.C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117741
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 200000000, 'counter': 509, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.256._.BA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '256.BA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.1430', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^3.C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 200000000, 'subgroup_tex': 'C_5^8.C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117743
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 200000000, 'counter': 510, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.256._.BB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '256.BB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.1428', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 200000000, 'subgroup_tex': 'C_5^8.C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117744
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 200000000, 'counter': 511, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.256._.BC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '256.BC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.5744', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '(C_2^2\\times D_4).D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 200000000, 'subgroup_tex': 'C_5^8.C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117745
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 200000000, 'counter': 512, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.256._.BD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '256.BD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.5743', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 200000000, 'subgroup_tex': 'C_5^8.C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117746
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 200000000, 'counter': 513, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.256._.BE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '256.BE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.5753', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 200000000, 'subgroup_tex': 'C_5^8.C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117747
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 200000000, 'counter': 514, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.256._.BF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '256.BF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.5753', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 200000000, 'subgroup_tex': 'C_5^8.C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117748
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 200000000, 'counter': 515, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.256._.BG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '256.BG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.5767', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'Q_8^2:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 200000000, 'subgroup_tex': 'C_5^8.C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117749
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 200000000, 'counter': 516, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.256._.BH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '256.BH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.5766', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '(C_2\\times C_4^2).D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 200000000, 'subgroup_tex': 'C_5^8.C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117750
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 200000000, 'counter': 517, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.256._.BI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '256.BI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.5743', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 200000000, 'subgroup_tex': 'C_5^8.C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117751
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 200000000, 'counter': 518, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.256._.BJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '256.BJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.5744', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '(C_2^2\\times D_4).D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 200000000, 'subgroup_tex': 'C_5^8.C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117752
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 200000000, 'counter': 519, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.256._.BK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '256.BK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.1335', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4.(C_2\\times D_4)', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 200000000, 'subgroup_tex': 'C_5^8.C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117754
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 200000000, 'counter': 520, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.256._.BL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '256.BL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.963', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2.C_4^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 200000000, 'subgroup_tex': 'C_5^8.C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117755
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 200000000, 'counter': 521, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.256._.BM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '256.BM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.959', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2.C_4^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 200000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 222117756
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 200000000, 'counter': 522, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.256._.BN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '256.BN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.959', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2.C_4^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 200000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 222117757
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 200000000, 'counter': 523, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.256._.BO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '256.BO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.1334', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5.D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 200000000, 'subgroup_tex': 'C_5^8.C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117758
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 200000000, 'counter': 524, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.256._.BP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '256.BP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.5741', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 200000000, 'subgroup_tex': 'C_5^8.C_2^6.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 222117759
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 200000000, 'counter': 525, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.256._.BQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '256.BQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.5742', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4.(C_2\\times D_4)', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 200000000, 'subgroup_tex': 'C_5^8.C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117760
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 200000000, 'counter': 526, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.256._.BR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '256.BR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.5750', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5.D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 200000000, 'subgroup_tex': 'C_5^8.C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117761
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 200000000, 'counter': 527, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.256._.BS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '256.BS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.5750', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5.D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 200000000, 'subgroup_tex': 'C_5^8.C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117762
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 200000000, 'counter': 528, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.256._.BT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '256.BT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.1335', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4.(C_2\\times D_4)', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 200000000, 'subgroup_tex': 'C_5^8.C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117763
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 200000000, 'counter': 529, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.256._.BU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '256.BU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.5769', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '(C_2\\times C_4^2).D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 200000000, 'subgroup_tex': 'C_5^8.C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117765
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 200000000, 'counter': 530, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.256._.BV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '256.BV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.5769', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '(C_2\\times C_4^2).D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 200000000, 'subgroup_tex': 'C_5^8.C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117766
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 200000000, 'counter': 531, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.256._.BW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '256.BW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.5742', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4.(C_2\\times D_4)', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 200000000, 'subgroup_tex': 'C_5^8.C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117767
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 200000000, 'counter': 532, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.256._.BX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '256.BX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.5741', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 200000000, 'subgroup_tex': 'C_5^8.C_2^6.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 222117768
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 200000000, 'counter': 533, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.256._.BY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '256.BY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.1334', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5.D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 200000000, 'subgroup_tex': 'C_5^8.C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117769
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 200000000, 'counter': 534, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.256._.BZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '256.BZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.1335', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4.(C_2\\times D_4)', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 200000000, 'subgroup_tex': 'C_5^8.C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117770
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 200000000, 'counter': 535, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.256._.CA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '256.CA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.3744', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '(C_2\\times D_4).C_4^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 200000000, 'subgroup_tex': 'C_5^8.C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117771
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 200000000, 'counter': 536, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.256._.CB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '256.CB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.3780', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.(C_4\\times D_4)', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 200000000, 'subgroup_tex': 'C_5^8.C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117772
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 200000000, 'counter': 537, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.256._.CC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '256.CC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.1334', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5.D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 200000000, 'subgroup_tex': 'C_5^8.C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117773
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 200000000, 'counter': 538, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.256._.CD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '256.CD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.3778', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '(C_2\\times D_4).C_4^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 200000000, 'subgroup_tex': 'C_5^8.C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117774
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 200000000, 'counter': 539, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.256._.CE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '256.CE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.1334', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5.D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 200000000, 'subgroup_tex': 'C_5^8.C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117776
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 200000000, 'counter': 540, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.256._.CF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '256.CF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.3773', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '(C_2\\times D_4).C_4^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 200000000, 'subgroup_tex': 'C_5^8.C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117777
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 200000000, 'counter': 541, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.256._.CG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '256.CG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.3769', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.(C_4\\times D_4)', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 200000000, 'subgroup_tex': 'C_5^8.C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117778
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 200000000, 'counter': 542, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.256._.CH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '256.CH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.3773', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '(C_2\\times D_4).C_4^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 200000000, 'subgroup_tex': 'C_5^8.C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117779
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 200000000, 'counter': 543, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.256._.CI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '256.CI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.3769', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.(C_4\\times D_4)', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 200000000, 'subgroup_tex': 'C_5^8.C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117780
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 200000000, 'counter': 544, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.256._.CJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '256.CJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.1334', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5.D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 200000000, 'subgroup_tex': 'C_5^8.C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117781
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 200000000, 'counter': 545, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.256._.CK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '256.CK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.3780', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.(C_4\\times D_4)', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 200000000, 'subgroup_tex': 'C_5^8.C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117782
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 200000000, 'counter': 546, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.256._.CL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '256.CL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.1334', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5.D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 200000000, 'subgroup_tex': 'C_5^8.C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117783
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 200000000, 'counter': 547, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.256._.CM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '256.CM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.3778', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '(C_2\\times D_4).C_4^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 200000000, 'subgroup_tex': 'C_5^8.C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117784
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 200000000, 'counter': 548, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.256._.CN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '256.CN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.3704', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5.D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 200000000, 'subgroup_tex': 'C_5^8.C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117785
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 200000000, 'counter': 549, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.256._.CO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '256.CO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.3737', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5.D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 200000000, 'subgroup_tex': 'C_5^8.C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117787
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 200000000, 'counter': 550, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.256._.CP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '256.CP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.1335', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4.(C_2\\times D_4)', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 200000000, 'subgroup_tex': 'C_5^8.C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117788
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 200000000, 'counter': 551, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.256._.CQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '256.CQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.3731', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '(C_2\\times D_4).C_4^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 200000000, 'subgroup_tex': 'C_5^8.C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117789
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 200000000, 'counter': 552, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.256._.CR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '256.CR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.3721', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5.D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 200000000, 'subgroup_tex': 'C_5^8.C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117790
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 200000000, 'counter': 553, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.256._.CS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '256.CS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.3726', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4.C_4^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 200000000, 'subgroup_tex': 'C_5^8.C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117791
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 200000000, 'counter': 554, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.256._.CT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '256.CT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.3733', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5.D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 200000000, 'subgroup_tex': 'C_5^8.C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117792
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 200000000, 'counter': 555, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.256._.CU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '256.CU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.1334', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5.D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 200000000, 'subgroup_tex': 'C_5^8.C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117793
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 200000000, 'counter': 556, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.256._.CV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '256.CV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.963', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2.C_4^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 200000000, 'subgroup_tex': 'C_5^8.C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117794
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 200000000, 'counter': 557, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.256._.CW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '256.CW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.213', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_8^2:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 200000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^5', 'supersolvable': False, 'sylow': 0}
-
id: 222117795
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 100000000, 'counter': 558, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.512._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '512.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.46623', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_8^2:(C_2\\times C_4)', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 100000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117796
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 100000000, 'counter': 559, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.512._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '512.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.46621', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '(C_4\\times \\OD_{16}).C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 100000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117798
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 100000000, 'counter': 560, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.512._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '512.C', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.46622', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '(C_4\\times \\OD_{16}).C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 100000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117799
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 100000000, 'counter': 561, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.512._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '512.D', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.46620', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '(C_4\\times \\OD_{16}).C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 100000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117800
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 100000000, 'counter': 562, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.512._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '512.E', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.59799', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4:D_4.(C_2\\times D_4)', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 100000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117801
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 100000000, 'counter': 563, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.512._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '512.F', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.59805', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4:Q_8.(C_2\\times D_4)', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 100000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117802
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 100000000, 'counter': 564, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.512._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '512.G', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.59798', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2.(C_2\\times C_4)', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 100000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117803
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 100000000, 'counter': 565, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.512._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '512.H', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.59804', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4:Q_8.(C_2\\times D_4)', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 100000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117804
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 100000000, 'counter': 566, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.512._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '512.I', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.59679', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '(C_2\\times C_4.D_4).C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 100000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117805
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 100000000, 'counter': 567, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.512._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '512.J', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.59679', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '(C_2\\times C_4.D_4).C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 100000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117806
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 100000000, 'counter': 568, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.512._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '512.K', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.59679', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '(C_2\\times C_4.D_4).C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 100000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117807
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 100000000, 'counter': 569, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.512._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '512.L', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.59679', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '(C_2\\times C_4.D_4).C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 100000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117809
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 100000000, 'counter': 570, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.512._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '512.M', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.37355', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4.C_2^4.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 100000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117810
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 100000000, 'counter': 571, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.512._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '512.N', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.37354', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4.C_2^4.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 100000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117811
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 100000000, 'counter': 572, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.512._.O', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '512.O', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.37395', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^5.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 100000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117812
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 100000000, 'counter': 573, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.512._.P', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '512.P', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.37394', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^5.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 100000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117813
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 100000000, 'counter': 574, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.512._.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '512.Q', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.37311', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4.C_2^4.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 100000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117814
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 100000000, 'counter': 575, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.512._.R', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '512.R', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.37310', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4.C_2^4.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 100000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117815
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 100000000, 'counter': 576, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.512._.S', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '512.S', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.37302', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^5.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 100000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117816
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 100000000, 'counter': 577, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.512._.T', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '512.T', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.37303', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^5.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 100000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117817
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 100000000, 'counter': 578, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.512._.U', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '512.U', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.37394', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^5.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 100000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117818
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 100000000, 'counter': 579, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.512._.V', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '512.V', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.37395', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^5.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 100000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117820
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 100000000, 'counter': 580, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.512._.W', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '512.W', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.37354', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4.C_2^4.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 100000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117821
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 100000000, 'counter': 581, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.512._.X', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '512.X', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.37355', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4.C_2^4.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 100000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117822
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 100000000, 'counter': 582, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.512._.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '512.Y', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.37303', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^5.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 100000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117823
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 100000000, 'counter': 583, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.512._.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '512.Z', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.37302', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^5.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 100000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117824
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 100000000, 'counter': 584, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.512._.BA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '512.BA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.37310', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4.C_2^4.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 100000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117825
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 100000000, 'counter': 585, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.512._.BB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '512.BB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.37311', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4.C_2^4.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 100000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117826
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 100000000, 'counter': 586, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.512._.BC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '512.BC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.37283', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4.C_2^4.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 100000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117827
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 100000000, 'counter': 587, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.512._.BD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '512.BD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.37282', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4.C_2^4.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 100000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117828
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 100000000, 'counter': 588, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.512._.BE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '512.BE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.37267', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^5.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 100000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117829
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 100000000, 'counter': 589, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.512._.BF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '512.BF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.37267', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^5.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 100000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117831
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 100000000, 'counter': 590, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.512._.BG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '512.BG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.13462', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^5.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 100000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117832
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 100000000, 'counter': 591, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.512._.BH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '512.BH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.13754', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^5.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 100000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117833
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 100000000, 'counter': 592, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.512._.BI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '512.BI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.34507', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4^2.C_2^3.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 100000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117834
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 100000000, 'counter': 593, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.512._.BJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '512.BJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.34508', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2.C_2^4.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 100000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117835
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 100000000, 'counter': 594, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.512._.BK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '512.BK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.37283', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4.C_2^4.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 100000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117836
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 100000000, 'counter': 595, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.512._.BL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '512.BL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.37282', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4.C_2^4.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 100000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117837
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 100000000, 'counter': 596, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.512._.BM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '512.BM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.37264', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^5.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 100000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117838
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 100000000, 'counter': 597, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.512._.BN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '512.BN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.37265', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^5.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 100000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117839
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 100000000, 'counter': 598, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.512._.BO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '512.BO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.13636', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^5.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 100000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117840
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 100000000, 'counter': 599, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.512._.BP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '512.BP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.13636', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^5.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 100000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117843
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 100000000, 'counter': 600, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.512._.BQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '512.BQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.14945', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^5.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 100000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117844
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 100000000, 'counter': 601, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.512._.BR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '512.BR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.14174', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^5.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 100000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117845
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 100000000, 'counter': 602, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.512._.BS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '512.BS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.4709', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^5.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 100000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117846
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 100000000, 'counter': 603, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.512._.BT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '512.BT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.15564', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^5.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 100000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117847
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 100000000, 'counter': 604, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.512._.BU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '512.BU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.15270', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4.C_2^4.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 100000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117848
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 100000000, 'counter': 605, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.512._.BV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '512.BV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.15270', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4.C_2^4.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 100000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117849
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 100000000, 'counter': 606, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.512._.BW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '512.BW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.14961', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^5.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 100000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117850
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 100000000, 'counter': 607, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.512._.BX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '512.BX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.4709', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^5.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 100000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117851
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 100000000, 'counter': 608, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.512._.BY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '512.BY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.12886', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^5.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 100000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117852
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 100000000, 'counter': 609, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.512._.BZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '512.BZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.12886', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^5.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 100000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117854
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 100000000, 'counter': 610, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.512._.CA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '512.CA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.15568', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4.C_2^4.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 100000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117855
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 100000000, 'counter': 611, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.512._.CB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '512.CB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.15543', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^5.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 100000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117856
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 100000000, 'counter': 612, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.512._.CC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '512.CC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.4710', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^5.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 100000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117857
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 100000000, 'counter': 613, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.512._.CD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '512.CD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.15242', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4.C_2^4.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 100000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117858
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 100000000, 'counter': 614, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.512._.CE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '512.CE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.15202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4.C_2^4.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 100000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117859
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 100000000, 'counter': 615, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.512._.CF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '512.CF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.14214', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4.C_2^4.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 100000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117860
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 100000000, 'counter': 616, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.512._.CG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '512.CG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.14248', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^5.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 100000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117861
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 100000000, 'counter': 617, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.512._.CH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '512.CH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.4708', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '(C_2\\times C_4^3).C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 100000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117862
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 100000000, 'counter': 618, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.512._.CI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '512.CI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.15202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4.C_2^4.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 100000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117863
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 100000000, 'counter': 619, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.512._.CJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '512.CJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.15242', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4.C_2^4.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 100000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117865
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 100000000, 'counter': 620, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.512._.CK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '512.CK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.14214', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4.C_2^4.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 100000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117866
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 100000000, 'counter': 621, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.512._.CL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '512.CL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.14248', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^5.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 100000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117867
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 100000000, 'counter': 622, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.512._.CM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '512.CM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.34508', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2.C_2^4.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 100000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117868
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 100000000, 'counter': 623, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.512._.CN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '512.CN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.37359', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^5.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 100000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117869
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 100000000, 'counter': 624, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.512._.CO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '512.CO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.37383', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5.C_2^3.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 100000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117870
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 100000000, 'counter': 625, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.512._.CP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '512.CP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.37382', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5.C_2^3.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 100000000, 'subgroup_tex': 'C_5^7.D_{10}.C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 222117871
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 100000000, 'counter': 626, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.512._.CQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '512.CQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.37323', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^5.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 100000000, 'subgroup_tex': 'C_5^7.D_{10}.C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 222117872
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 100000000, 'counter': 627, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.512._.CR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '512.CR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.37322', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^5.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 100000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117873
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 100000000, 'counter': 628, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.512._.CS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '512.CS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.37299', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5.C_2^3.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 100000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117874
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 100000000, 'counter': 629, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.512._.CT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '512.CT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.37298', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5.C_2^3.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 100000000, 'subgroup_tex': 'C_5^7.D_{10}.C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 222117876
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 100000000, 'counter': 630, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.512._.CU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '512.CU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.37298', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5.C_2^3.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 100000000, 'subgroup_tex': 'C_5^7.D_{10}.C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 222117877
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 100000000, 'counter': 631, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.512._.CV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '512.CV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.37299', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5.C_2^3.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 100000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117878
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 100000000, 'counter': 632, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.512._.CW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '512.CW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.37322', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^5.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 100000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117879
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 100000000, 'counter': 633, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.512._.CX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '512.CX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.37323', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^5.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 100000000, 'subgroup_tex': 'C_5^7.D_{10}.C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 222117880
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 100000000, 'counter': 634, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.512._.CY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '512.CY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.37382', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5.C_2^3.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 100000000, 'subgroup_tex': 'C_5^7.D_{10}.C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 222117881
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 100000000, 'counter': 635, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.512._.CZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '512.CZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.37383', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5.C_2^3.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 100000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117882
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 100000000, 'counter': 636, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.512._.DA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '512.DA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.37359', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^5.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 100000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117883
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 100000000, 'counter': 637, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.512._.DB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '512.DB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.37358', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^5.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 100000000, 'subgroup_tex': 'C_5^7.D_{10}.C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 222117884
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 100000000, 'counter': 638, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.512._.DC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '512.DC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.37291', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^5.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 100000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117885
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 100000000, 'counter': 639, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.512._.DD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '512.DD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.37291', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^5.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 100000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117887
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 100000000, 'counter': 640, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.512._.DE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '512.DE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.37261', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5.C_2^3.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 100000000, 'subgroup_tex': 'C_5^7.D_{10}.C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 222117888
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 100000000, 'counter': 641, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.512._.DF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '512.DF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.37261', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5.C_2^3.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 100000000, 'subgroup_tex': 'C_5^7.D_{10}.C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 222117889
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 100000000, 'counter': 642, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.512._.DG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '512.DG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.37291', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^5.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 100000000, 'subgroup_tex': 'C_5^7.D_{10}.C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 222117890
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 100000000, 'counter': 643, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.512._.DH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '512.DH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.37291', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^5.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 100000000, 'subgroup_tex': 'C_5^7.D_{10}.C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 222117891
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 100000000, 'counter': 644, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.512._.DI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '512.DI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.37259', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5.C_2^3.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 100000000, 'subgroup_tex': 'C_5^7.D_{10}.C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 222117892
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 100000000, 'counter': 645, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.512._.DJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '512.DJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.37258', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4.C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 100000000, 'subgroup_tex': 'C_5^7.D_{10}.C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 222117893
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 100000000, 'counter': 646, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.512._.DK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '512.DK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.34507', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4^2.C_2^3.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 100000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117894
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 100000000, 'counter': 647, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.512._.DL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '512.DL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.53810', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5.C_2^3.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 100000000, 'subgroup_tex': 'C_5^7.D_{10}.C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 222117895
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 100000000, 'counter': 648, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.512._.DM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '512.DM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.53812', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^5.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 100000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117896
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 100000000, 'counter': 649, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.512._.DN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '512.DN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.53831', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4.C_2^4.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 100000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117898
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 100000000, 'counter': 650, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.512._.DO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '512.DO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.4710', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^5.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 100000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117899
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 100000000, 'counter': 651, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.512._.DP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '512.DP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.53837', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^5.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 100000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117900
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 100000000, 'counter': 652, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.512._.DQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '512.DQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.53844', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^5.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 100000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117901
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 100000000, 'counter': 653, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.512._.DR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '512.DR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.4708', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '(C_2\\times C_4^3).C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 100000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117902
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 100000000, 'counter': 654, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.512._.DS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '512.DS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.53842', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4.C_2^4.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 100000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117903
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 100000000, 'counter': 655, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.512._.DT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '512.DT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.53812', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^5.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 100000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117904
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 100000000, 'counter': 656, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.512._.DU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '512.DU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.53810', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5.C_2^3.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 100000000, 'subgroup_tex': 'C_5^7.D_{10}.C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 222117905
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 100000000, 'counter': 657, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.512._.DV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '512.DV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.14928', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^5.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 100000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117906
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 100000000, 'counter': 658, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.512._.DW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '512.DW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.4709', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^5.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 100000000, 'subgroup_tex': 'C_5^7.D_{10}.C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 222117907
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 100000000, 'counter': 659, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.512._.DX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '512.DX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.14928', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^5.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 100000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117909
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 100000000, 'counter': 660, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.512._.DY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '512.DY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.13794', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5.C_2^3.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 100000000, 'subgroup_tex': 'C_5^7.D_{10}.C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 222117910
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 100000000, 'counter': 661, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.512._.DZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '512.DZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.15564', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^5.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 100000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117911
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 100000000, 'counter': 662, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.512._.EA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '512.EA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.13588', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^5.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 100000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117912
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 100000000, 'counter': 663, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.512._.EB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '512.EB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.4709', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^5.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 100000000, 'subgroup_tex': 'C_5^7.D_{10}.C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 222117913
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 100000000, 'counter': 664, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.512._.EC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '512.EC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.13772', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^5.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 100000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117914
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 100000000, 'counter': 665, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.512._.ED', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '512.ED', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.14208', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^5.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 100000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
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id: 222117915
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 100000000, 'counter': 666, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.512._.EE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '512.EE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.15222', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4.C_2^4.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 100000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117916
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 100000000, 'counter': 667, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.512._.EF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '512.EF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.15222', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4.C_2^4.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 100000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
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id: 222117917
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 100000000, 'counter': 668, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.512._.EG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '512.EG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.14208', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^5.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 100000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
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id: 222117918
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 100000000, 'counter': 669, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.512._.EH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '512.EH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.13540', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^5.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 100000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
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id: 222117920
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 100000000, 'counter': 670, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.512._.EI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '512.EI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.14174', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^5.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 100000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
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id: 222117921
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 100000000, 'counter': 671, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.512._.EJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '512.EJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.13732', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^5.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 100000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117922
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 100000000, 'counter': 672, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.512._.EK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '512.EK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.37358', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^5.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 100000000, 'subgroup_tex': 'C_5^7.D_{10}.C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 222117923
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 50000000, 'counter': 673, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.1024._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1024.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 1024, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4:\\OD_{16}.C_4.C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50000000, 'subgroup_tex': 'C_5^8.C_2^3.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117924
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 50000000, 'counter': 674, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.1024._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1024.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '1024.dfp', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 1024, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '\\OD_{16}^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^3', 'supersolvable': True, 'sylow': 0}
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id: 222117925
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 50000000, 'counter': 675, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.1024._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1024.C', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '1024.dfp', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 1024, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '\\OD_{16}^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^3', 'supersolvable': True, 'sylow': 0}
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id: 222117926
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 50000000, 'counter': 676, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.1024._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1024.D', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 1024, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2:\\OD_{16}.C_4.C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50000000, 'subgroup_tex': 'C_5^8.C_2^3.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117927
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 50000000, 'counter': 677, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.1024._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1024.E', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 1024, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2:\\OD_{16}.C_4.C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50000000, 'subgroup_tex': 'C_5^8.C_2^3.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117928
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 50000000, 'counter': 678, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.1024._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1024.F', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '1024.dhc', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 1024, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '\\OD_{16}^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^3', 'supersolvable': True, 'sylow': 0}
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id: 222117929
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 50000000, 'counter': 679, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.1024._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1024.G', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '1024.dhc', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 1024, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '\\OD_{16}^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 222117931
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 50000000, 'counter': 680, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.1024._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1024.H', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 1024, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4.C_2^5.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50000000, 'subgroup_tex': 'C_5^8.C_2^3.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117932
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 50000000, 'counter': 681, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.1024._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1024.I', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 1024, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4.C_2^4.C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50000000, 'subgroup_tex': 'C_5^8.C_2^3.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117933
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 50000000, 'counter': 682, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.1024._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1024.J', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 1024, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^4.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50000000, 'subgroup_tex': 'C_5^8.C_2^3.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117934
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 50000000, 'counter': 683, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.1024._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1024.K', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 1024, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^5.C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50000000, 'subgroup_tex': 'C_5^8.C_2^3.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117935
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 50000000, 'counter': 684, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.1024._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1024.L', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 1024, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4.C_2^4.C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50000000, 'subgroup_tex': 'C_5^8.C_2^3.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117936
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 50000000, 'counter': 685, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.1024._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1024.M', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 1024, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4.C_2^5.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50000000, 'subgroup_tex': 'C_5^8.C_2^3.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117937
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 50000000, 'counter': 686, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.1024._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1024.N', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 1024, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^5.C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50000000, 'subgroup_tex': 'C_5^8.C_2^3.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117938
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 50000000, 'counter': 687, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.1024._.O', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1024.O', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 1024, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^4.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50000000, 'subgroup_tex': 'C_5^8.C_2^3.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117939
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 50000000, 'counter': 688, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.1024._.P', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1024.P', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 1024, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4.C_2^4.C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50000000, 'subgroup_tex': 'C_5^8.C_2^3.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117940
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 50000000, 'counter': 689, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.1024._.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1024.Q', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 1024, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4.C_2^5.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50000000, 'subgroup_tex': 'C_5^8.C_2^3.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117942
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 50000000, 'counter': 690, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.1024._.R', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1024.R', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 1024, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^4.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50000000, 'subgroup_tex': 'C_5^7.D_{10}.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 222117943
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 50000000, 'counter': 691, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.1024._.S', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1024.S', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 1024, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4.C_2^4.C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50000000, 'subgroup_tex': 'C_5^7.D_{10}.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 222117944
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 50000000, 'counter': 692, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.1024._.T', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1024.T', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 1024, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4.C_2^5.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50000000, 'subgroup_tex': 'C_5^8.C_2^3.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117945
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 50000000, 'counter': 693, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.1024._.U', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1024.U', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 1024, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4.C_2^4.C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50000000, 'subgroup_tex': 'C_5^8.C_2^3.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117946
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 50000000, 'counter': 694, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.1024._.V', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1024.V', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 1024, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4.C_2^4.C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50000000, 'subgroup_tex': 'C_5^7.D_{10}.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 222117947
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 50000000, 'counter': 695, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.1024._.W', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1024.W', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 1024, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^5.C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50000000, 'subgroup_tex': 'C_5^7.D_{10}.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 222117948
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 50000000, 'counter': 696, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.1024._.X', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1024.X', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 1024, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '(C_2\\times C_4^3).C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50000000, 'subgroup_tex': 'C_5^8.C_2^3.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117949
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 50000000, 'counter': 697, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.1024._.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1024.Y', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 1024, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4.C_2^4.C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50000000, 'subgroup_tex': 'C_5^8.C_2^6.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 222117950
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 50000000, 'counter': 698, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.1024._.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1024.Z', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 1024, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4.C_2^3.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50000000, 'subgroup_tex': 'C_5^8.C_2^6.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 222117951
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 50000000, 'counter': 699, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.1024._.BA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1024.BA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '1024.dew', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 1024, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5:C_4\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50000000, 'subgroup_tex': 'C_5^8.C_2^6.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 222117954
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 50000000, 'counter': 700, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.1024._.BB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1024.BB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '1024.dew', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 1024, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5:C_4\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50000000, 'subgroup_tex': 'C_5^8.C_2^6.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 222117955
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 50000000, 'counter': 701, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.1024._.BC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1024.BC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 1024, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4.C_2^3.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50000000, 'subgroup_tex': 'C_5^7.D_{10}.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 222117956
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 50000000, 'counter': 702, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.1024._.BD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1024.BD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 1024, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4.C_2^3.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50000000, 'subgroup_tex': 'C_5^7.D_{10}.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 222117957
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 50000000, 'counter': 703, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.1024._.BE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1024.BE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 1024, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^4.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 222117958
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 50000000, 'counter': 704, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.1024._.BF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1024.BF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 1024, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^4.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 222117959
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 50000000, 'counter': 705, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.1024._.BG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1024.BG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 1024, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4.C_2^3.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50000000, 'subgroup_tex': 'C_5^7.D_{10}.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 222117960
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 50000000, 'counter': 706, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.1024._.BH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1024.BH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 1024, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4.C_2^3.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50000000, 'subgroup_tex': 'C_5^7.D_{10}.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 222117961
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 50000000, 'counter': 707, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.1024._.BI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1024.BI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 1024, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4.C_2^3.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50000000, 'subgroup_tex': 'C_5^7.D_{10}.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 222117962
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 50000000, 'counter': 708, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.1024._.BJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1024.BJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 1024, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4.C_2^3.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50000000, 'subgroup_tex': 'C_5^8.C_2^6.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 222117963
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 50000000, 'counter': 709, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.1024._.BK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1024.BK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 1024, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '(C_2^3\\times C_4^2).C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50000000, 'subgroup_tex': 'C_5^8.C_2^3.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117965
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 50000000, 'counter': 710, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.1024._.BL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1024.BL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 1024, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^4.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50000000, 'subgroup_tex': 'C_5^7.D_{10}.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 222117966
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 50000000, 'counter': 711, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.1024._.BM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1024.BM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 1024, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4.C_2^3.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50000000, 'subgroup_tex': 'C_5^7.D_{10}.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 222117967
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 50000000, 'counter': 712, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.1024._.BN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1024.BN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 1024, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4.C_2^3.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50000000, 'subgroup_tex': 'C_5^8.C_2^6.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 222117968
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 50000000, 'counter': 713, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.1024._.BO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1024.BO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 1024, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^5.C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50000000, 'subgroup_tex': 'C_5^7.D_{10}.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 222117969
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 50000000, 'counter': 714, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.1024._.BP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1024.BP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 1024, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4.C_2^4.C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50000000, 'subgroup_tex': 'C_5^7.D_{10}.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 222117970
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 50000000, 'counter': 715, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.1024._.BQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1024.BQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '1024.dgl', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 1024, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\wr C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 222117971
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 50000000, 'counter': 716, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.1024._.BR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1024.BR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 1024, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^4.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50000000, 'subgroup_tex': 'C_5^8.C_2^6.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 222117972
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 50000000, 'counter': 717, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.1024._.BS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1024.BS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 1024, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '(C_2^3\\times C_4^2).C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50000000, 'subgroup_tex': 'C_5^8.C_2^3.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117973
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 50000000, 'counter': 718, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.1024._.BT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1024.BT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '1024.dgl', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 1024, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\wr C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 222117974
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 50000000, 'counter': 719, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.1024._.BU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1024.BU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 1024, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^5.C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50000000, 'subgroup_tex': 'C_5^8.C_2^3.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117976
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 50000000, 'counter': 720, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.1024._.BV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1024.BV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 1024, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '(C_2^3\\times C_4^2).C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50000000, 'subgroup_tex': 'C_5^8.C_2^3.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117977
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 50000000, 'counter': 721, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.1024._.BW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1024.BW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 1024, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2.C_2^3.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50000000, 'subgroup_tex': 'C_5^8.C_2^3.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117978
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 50000000, 'counter': 722, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.1024._.BX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1024.BX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 1024, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '(C_4\\times C_8).C_4^2.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 222117979
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 50000000, 'counter': 723, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.1024._.BY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1024.BY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 1024, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '(C_4\\times C_8).C_4^2.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 222117980
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 50000000, 'counter': 724, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.1024._.BZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1024.BZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 1024, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2.C_2^3.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50000000, 'subgroup_tex': 'C_5^8.C_2^3.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117981
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 50000000, 'counter': 725, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.1024._.CA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1024.CA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 1024, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4.D_4.C_4^2.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 222117982
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 50000000, 'counter': 726, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.1024._.CB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1024.CB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 1024, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4.D_4.C_4^2.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50000000, 'subgroup_tex': 'C_5^8.C_2^3.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117983
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 50000000, 'counter': 727, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.1024._.CC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1024.CC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 1024, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4:D_4.C_4^2.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50000000, 'subgroup_tex': 'C_5^8.C_2^3.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117984
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 50000000, 'counter': 728, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.1024._.CD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1024.CD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 1024, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4:D_4.C_4^2.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 222117985
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 50000000, 'counter': 729, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.1024._.CE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1024.CE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 1024, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4:Q_8.C_4^2.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 222117987
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 50000000, 'counter': 730, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.1024._.CF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1024.CF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 1024, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4:Q_8.C_4^2.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50000000, 'subgroup_tex': 'C_5^8.C_2^3.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117988
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 50000000, 'counter': 731, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.1024._.CG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1024.CG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 1024, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4.D_4.C_4^2.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50000000, 'subgroup_tex': 'C_5^8.C_2^3.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117989
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 50000000, 'counter': 732, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.1024._.CH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1024.CH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 1024, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4.D_4.C_4^2.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 222117990
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 50000000, 'counter': 733, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.1024._.CI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1024.CI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 1024, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^4.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50000000, 'subgroup_tex': 'C_5^7.D_{10}.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 222117991
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 50000000, 'counter': 734, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.1024._.CJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1024.CJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 1024, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^4.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50000000, 'subgroup_tex': 'C_5^8.C_2^3.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117992
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 50000000, 'counter': 735, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.1024._.CK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1024.CK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 1024, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^4.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50000000, 'subgroup_tex': 'C_5^8.C_2^3.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117993
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 50000000, 'counter': 736, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.1024._.CL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1024.CL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 1024, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^4.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50000000, 'subgroup_tex': 'C_5^7.D_{10}.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 222117994
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 50000000, 'counter': 737, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.1024._.CM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1024.CM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 1024, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4.C_2^3.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50000000, 'subgroup_tex': 'C_5^7.D_{10}.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 222117995
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 50000000, 'counter': 738, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.1024._.CN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1024.CN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 1024, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '(C_2\\times C_4^3).C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50000000, 'subgroup_tex': 'C_5^8.C_2^3.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117996
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 50000000, 'counter': 739, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.1024._.CO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1024.CO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 1024, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '(C_2\\times C_4^3).C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50000000, 'subgroup_tex': 'C_5^8.C_2^3.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117998
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 50000000, 'counter': 740, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.1024._.CP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1024.CP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 1024, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '(C_2\\times C_4^3).C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50000000, 'subgroup_tex': 'C_5^8.C_2^3.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222117999
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 50000000, 'counter': 741, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.1024._.CQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1024.CQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 1024, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^4.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50000000, 'subgroup_tex': 'C_5^7.D_{10}.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 222118000
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 50000000, 'counter': 742, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.1024._.CR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1024.CR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 1024, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^4.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50000000, 'subgroup_tex': 'C_5^8.C_2^3.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222118001
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 50000000, 'counter': 743, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.1024._.CS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1024.CS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 1024, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4.C_2^3.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50000000, 'subgroup_tex': 'C_5^8.C_2^3.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222118002
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 50000000, 'counter': 744, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.1024._.CT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1024.CT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 1024, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^4.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50000000, 'subgroup_tex': 'C_5^7.D_{10}.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 222118003
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 50000000, 'counter': 745, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.1024._.CU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1024.CU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 1024, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^5.C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50000000, 'subgroup_tex': 'C_5^7.D_{10}.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 222118004
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 50000000, 'counter': 746, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.1024._.CV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1024.CV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 1024, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '(C_2^2\\times C_8).C_4^2.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50000000, 'subgroup_tex': 'C_5^8.C_2^3.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222118005
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 50000000, 'counter': 747, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.1024._.CW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1024.CW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 1024, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '(C_2^2\\times C_8).C_4^2.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50000000, 'subgroup_tex': 'C_5^8.C_2^3.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222118006
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 50000000, 'counter': 748, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.1024._.CX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1024.CX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 1024, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '(C_2^2\\times C_8).C_4^2.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 222118007
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 50000000, 'counter': 749, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.1024._.CY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1024.CY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 1024, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4.C_2^4.C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50000000, 'subgroup_tex': 'C_5^7.D_{10}.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 222118009
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 50000000, 'counter': 750, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.1024._.CZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1024.CZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 1024, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4.C_2^4.C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50000000, 'subgroup_tex': 'C_5^8.C_2^3.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222118010
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 50000000, 'counter': 751, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.1024._.DA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1024.DA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 1024, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^4.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50000000, 'subgroup_tex': 'C_5^8.C_2^3.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222118011
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 50000000, 'counter': 752, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.1024._.DB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1024.DB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 1024, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^5.C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50000000, 'subgroup_tex': 'C_5^7.D_{10}.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 222118012
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 50000000, 'counter': 753, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.1024._.DC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1024.DC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 1024, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '(C_2^2\\times C_8).C_4^2.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 222118013
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 50000000, 'counter': 754, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.1024._.DD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1024.DD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 1024, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '(C_2\\times C_4^3).C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50000000, 'subgroup_tex': 'C_5^8.C_2^3.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222118014
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 50000000, 'counter': 755, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.1024._.DE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1024.DE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 1024, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^5.C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50000000, 'subgroup_tex': 'C_5^8.C_2^3.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222118015
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 50000000, 'counter': 756, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.1024._.DF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1024.DF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 1024, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '(C_2^2\\times C_4^3).C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50000000, 'subgroup_tex': 'C_5^7.D_{10}.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 222118016
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 50000000, 'counter': 757, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.1024._.DG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1024.DG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 1024, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^4.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50000000, 'subgroup_tex': 'C_5^7.D_{10}.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 222118017
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 50000000, 'counter': 758, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.1024._.DH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1024.DH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 1024, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^4.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50000000, 'subgroup_tex': 'C_5^8.C_2^3.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222118018
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 50000000, 'counter': 759, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.1024._.DI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1024.DI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 1024, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^4.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50000000, 'subgroup_tex': 'C_5^8.C_2^3.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222118020
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 50000000, 'counter': 760, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.1024._.DJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1024.DJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 1024, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^4.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50000000, 'subgroup_tex': 'C_5^7.D_{10}.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 222118021
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 50000000, 'counter': 761, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.1024._.DK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1024.DK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 1024, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '(C_2^3\\times D_4).C_2.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50000000, 'subgroup_tex': 'C_5^8.C_2^3.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222118022
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 50000000, 'counter': 762, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.1024._.DL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1024.DL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 1024, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '(C_2^3\\times C_4^2).C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50000000, 'subgroup_tex': 'C_5^8.C_2^3.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222118023
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 50000000, 'counter': 763, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.1024._.DM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1024.DM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 1024, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4:\\OD_{16}.C_4.C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50000000, 'subgroup_tex': 'C_5^8.C_2^3.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222118024
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 25000000, 'counter': 764, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.2048._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2048.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 2048, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '(C_2^3\\times C_4).C_2^3.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 25000000, 'subgroup_tex': 'C_5^8.C_4^3', 'supersolvable': True, 'sylow': 0}
-
id: 222118025
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 25000000, 'counter': 765, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.2048._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2048.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 2048, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '(C_2^3\\times C_4).C_2^3.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 25000000, 'subgroup_tex': 'C_5^8.C_4^3', 'supersolvable': True, 'sylow': 0}
-
id: 222118026
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 25000000, 'counter': 766, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.2048._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2048.C', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 2048, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '(C_2^3\\times C_4).C_2^3.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 25000000, 'subgroup_tex': 'C_5^8.C_4^3', 'supersolvable': True, 'sylow': 0}
-
id: 222118027
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 25000000, 'counter': 767, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.2048._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2048.D', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 2048, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '(C_2^3\\times C_4).C_2^3.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 25000000, 'subgroup_tex': 'C_5^8.C_4^3', 'supersolvable': True, 'sylow': 0}
-
id: 222118028
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 25000000, 'counter': 768, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.2048._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2048.E', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 2048, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '(C_2^3\\times C_4).C_2^3.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 25000000, 'subgroup_tex': 'C_5^8.C_4^3', 'supersolvable': True, 'sylow': 0}
-
id: 222118029
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 25000000, 'counter': 769, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.2048._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2048.F', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 2048, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '(C_2^3\\times C_4).C_2^3.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 25000000, 'subgroup_tex': 'C_5^8.C_4^3', 'supersolvable': True, 'sylow': 0}
-
id: 222118031
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 25000000, 'counter': 770, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.2048._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2048.G', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 2048, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '(C_2^3\\times C_4).C_2^3.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 25000000, 'subgroup_tex': 'C_5^8.C_4^3', 'supersolvable': True, 'sylow': 0}
-
id: 222118032
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 25000000, 'counter': 771, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.2048._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2048.H', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 2048, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^5.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 25000000, 'subgroup_tex': 'C_5^7.D_{10}.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222118033
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 25000000, 'counter': 772, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.2048._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2048.I', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 2048, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5.C_2^3.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 25000000, 'subgroup_tex': 'C_5^8.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 222118034
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 25000000, 'counter': 773, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.2048._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2048.J', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 2048, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5.C_2^3.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 25000000, 'subgroup_tex': 'C_5^8.C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 222118035
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 25000000, 'counter': 774, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.2048._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2048.K', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 2048, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5.C_2^3.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 25000000, 'subgroup_tex': 'C_5^8.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 222118036
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 25000000, 'counter': 775, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.2048._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2048.L', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 2048, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5.C_2^3.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 25000000, 'subgroup_tex': 'C_5^8.C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 222118037
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 25000000, 'counter': 776, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.2048._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2048.M', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 2048, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4.C_2^4.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 25000000, 'subgroup_tex': 'C_5^7.D_{10}.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222118038
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 25000000, 'counter': 777, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.2048._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2048.N', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 2048, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4.C_2^4.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 25000000, 'subgroup_tex': 'C_5^7.D_{10}.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222118039
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 25000000, 'counter': 778, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.2048._.O', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2048.O', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 2048, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4.C_2^4.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 25000000, 'subgroup_tex': 'C_5^7.D_{10}.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222118040
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 25000000, 'counter': 779, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.2048._.P', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2048.P', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 2048, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4.C_2^4.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 25000000, 'subgroup_tex': 'C_5^7.D_{10}.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222118042
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 25000000, 'counter': 780, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.2048._.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2048.Q', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 2048, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^5.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 25000000, 'subgroup_tex': 'C_5^8.C_4^3', 'supersolvable': True, 'sylow': 0}
-
id: 222118043
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 25000000, 'counter': 781, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.2048._.R', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2048.R', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 2048, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^5.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 25000000, 'subgroup_tex': 'C_5^8.C_4^3', 'supersolvable': True, 'sylow': 0}
-
id: 222118044
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 25000000, 'counter': 782, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.2048._.S', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2048.S', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 2048, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^5.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 25000000, 'subgroup_tex': 'C_5^8.C_4^3', 'supersolvable': True, 'sylow': 0}
-
id: 222118045
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 25000000, 'counter': 783, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.2048._.T', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2048.T', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 2048, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^5.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 25000000, 'subgroup_tex': 'C_5^8.C_4^3', 'supersolvable': True, 'sylow': 0}
-
id: 222118046
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 25000000, 'counter': 784, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.2048._.U', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2048.U', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 2048, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^5.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 25000000, 'subgroup_tex': 'C_5^7.D_{10}.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222118047
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 25000000, 'counter': 785, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.2048._.V', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2048.V', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 2048, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^5.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 25000000, 'subgroup_tex': 'C_5^7.D_{10}.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222118048
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 25000000, 'counter': 786, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.2048._.W', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2048.W', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 2048, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^5.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 25000000, 'subgroup_tex': 'C_5^7.D_{10}.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222118049
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 25000000, 'counter': 787, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.2048._.X', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2048.X', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 2048, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^5.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 25000000, 'subgroup_tex': 'C_5^7.D_{10}.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222118050
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 25000000, 'counter': 788, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.2048._.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2048.Y', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 2048, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^5.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 25000000, 'subgroup_tex': 'C_5^8.C_4^3', 'supersolvable': True, 'sylow': 0}
-
id: 222118051
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 25000000, 'counter': 789, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.2048._.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2048.Z', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 2048, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^5.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 25000000, 'subgroup_tex': 'C_5^8.C_4^3', 'supersolvable': True, 'sylow': 0}
-
id: 222118053
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 25000000, 'counter': 790, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.2048._.BA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2048.BA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 2048, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^5.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 25000000, 'subgroup_tex': 'C_5^8.C_4^3', 'supersolvable': True, 'sylow': 0}
-
id: 222118054
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 25000000, 'counter': 791, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.2048._.BB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2048.BB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 2048, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^5.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 25000000, 'subgroup_tex': 'C_5^8.C_4^3', 'supersolvable': True, 'sylow': 0}
-
id: 222118055
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 25000000, 'counter': 792, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.2048._.BC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2048.BC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 2048, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^5.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 25000000, 'subgroup_tex': 'C_5^7.D_{10}.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222118056
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 25000000, 'counter': 793, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.2048._.BD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2048.BD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 2048, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^5.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 25000000, 'subgroup_tex': 'C_5^7.D_{10}.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222118057
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 25000000, 'counter': 794, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.2048._.BE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2048.BE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 2048, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^5.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 25000000, 'subgroup_tex': 'C_5^7.D_{10}.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222118058
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 25000000, 'counter': 795, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.2048._.BF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2048.BF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 2048, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^5.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 25000000, 'subgroup_tex': 'C_5^7.D_{10}.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222118059
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 25000000, 'counter': 796, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.2048._.BG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2048.BG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 2048, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^5.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 25000000, 'subgroup_tex': 'C_5^8.C_4^3', 'supersolvable': True, 'sylow': 0}
-
id: 222118060
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 25000000, 'counter': 797, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.2048._.BH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2048.BH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 2048, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^5.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 25000000, 'subgroup_tex': 'C_5^8.C_4^3', 'supersolvable': True, 'sylow': 0}
-
id: 222118061
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 25000000, 'counter': 798, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.2048._.BI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2048.BI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 2048, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^5.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 25000000, 'subgroup_tex': 'C_5^8.C_4^3', 'supersolvable': True, 'sylow': 0}
-
id: 222118062
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 25000000, 'counter': 799, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.2048._.BJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2048.BJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 2048, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^5.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 25000000, 'subgroup_tex': 'C_5^8.C_4^3', 'supersolvable': True, 'sylow': 0}
-
id: 222118065
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 25000000, 'counter': 800, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.2048._.BK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2048.BK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 2048, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^5.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 25000000, 'subgroup_tex': 'C_5^7.D_{10}.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222118066
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 25000000, 'counter': 801, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.2048._.BL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2048.BL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 2048, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4:\\OD_{16}.C_4^2.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 25000000, 'subgroup_tex': 'C_5^7.D_{10}.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222118067
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 25000000, 'counter': 802, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.2048._.BM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2048.BM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 2048, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^5.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 25000000, 'subgroup_tex': 'C_5^7.D_{10}.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222118068
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 25000000, 'counter': 803, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.2048._.BN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2048.BN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 2048, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4:\\OD_{16}.C_4^2.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 25000000, 'subgroup_tex': 'C_5^7.D_{10}.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222118069
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 25000000, 'counter': 804, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.2048._.BO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2048.BO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 2048, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2:\\OD_{16}.C_4^2.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 25000000, 'subgroup_tex': 'C_5^7.D_{10}.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222118070
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 25000000, 'counter': 805, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.2048._.BP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2048.BP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 2048, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4.C_2^4.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 25000000, 'subgroup_tex': 'C_5^8.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 222118071
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 25000000, 'counter': 806, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.2048._.BQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2048.BQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 2048, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2:\\OD_{16}.C_4^2.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 25000000, 'subgroup_tex': 'C_5^7.D_{10}.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222118072
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 25000000, 'counter': 807, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.2048._.BR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2048.BR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 2048, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4.C_2^4.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 25000000, 'subgroup_tex': 'C_5^8.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 222118073
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 25000000, 'counter': 808, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.2048._.BS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2048.BS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 2048, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^5.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 25000000, 'subgroup_tex': 'C_5^7.D_{10}.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222118074
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 25000000, 'counter': 809, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.2048._.BT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2048.BT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 2048, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4:\\OD_{16}.C_4^2.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 25000000, 'subgroup_tex': 'C_5^7.D_{10}.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222118076
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 25000000, 'counter': 810, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.2048._.BU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2048.BU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 2048, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^5.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 25000000, 'subgroup_tex': 'C_5^7.D_{10}.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222118077
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 25000000, 'counter': 811, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.2048._.BV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2048.BV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 2048, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4:\\OD_{16}.C_4^2.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 25000000, 'subgroup_tex': 'C_5^7.D_{10}.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222118078
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 25000000, 'counter': 812, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.2048._.BW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2048.BW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 2048, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2:\\OD_{16}.C_4^2.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 25000000, 'subgroup_tex': 'C_5^7.D_{10}.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222118079
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 25000000, 'counter': 813, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.2048._.BX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2048.BX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 2048, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4.C_2^4.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 25000000, 'subgroup_tex': 'C_5^8.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 222118080
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 25000000, 'counter': 814, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.2048._.BY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2048.BY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 2048, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2:\\OD_{16}.C_4^2.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 25000000, 'subgroup_tex': 'C_5^7.D_{10}.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222118081
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 25000000, 'counter': 815, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.2048._.BZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2048.BZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 2048, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4.C_2^4.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 25000000, 'subgroup_tex': 'C_5^8.C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 222118082
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 25000000, 'counter': 816, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.2048._.CA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2048.CA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 2048, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4.C_2^4.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 25000000, 'subgroup_tex': 'C_5^7.D_{10}.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222118083
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 25000000, 'counter': 817, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.2048._.CB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2048.CB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 2048, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4.C_2^4.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 25000000, 'subgroup_tex': 'C_5^7.D_{10}.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222118084
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 25000000, 'counter': 818, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.2048._.CC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2048.CC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 2048, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^5.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 25000000, 'subgroup_tex': 'C_5^7.D_{10}.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222118085
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 25000000, 'counter': 819, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.2048._.CD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2048.CD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 2048, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4.C_2^5.C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 25000000, 'subgroup_tex': 'C_5^7.D_{10}.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222118087
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 25000000, 'counter': 820, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.2048._.CE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2048.CE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 2048, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4.C_2^4.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 25000000, 'subgroup_tex': 'C_5^8.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 222118088
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 25000000, 'counter': 821, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.2048._.CF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2048.CF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2048, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '(C_2\\times C_4\\times C_8).C_4^2.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 25000000, 'subgroup_tex': 'C_5^8.C_4^3', 'supersolvable': True, 'sylow': 0}
-
id: 222118089
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 25000000, 'counter': 822, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.2048._.CG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2048.CG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 2048, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4.C_2^4.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 25000000, 'subgroup_tex': 'C_5^7.D_{10}.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222118090
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 25000000, 'counter': 823, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.2048._.CH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2048.CH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 2048, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4.C_2^4.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 25000000, 'subgroup_tex': 'C_5^7.D_{10}.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222118091
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 25000000, 'counter': 824, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.2048._.CI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2048.CI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2048, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '(C_2\\times C_4\\times C_8).C_4^2.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 25000000, 'subgroup_tex': 'C_5^8.C_4^3', 'supersolvable': True, 'sylow': 0}
-
id: 222118092
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 25000000, 'counter': 825, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.2048._.CJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2048.CJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2048, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '(C_2\\times C_4\\times C_8).C_4^2.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 25000000, 'subgroup_tex': 'C_5^8.C_4^3', 'supersolvable': True, 'sylow': 0}
-
id: 222118093
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 25000000, 'counter': 826, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.2048._.CK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2048.CK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2048, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '(C_2\\times C_4\\times C_8).C_4^2.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 25000000, 'subgroup_tex': 'C_5^8.C_4^3', 'supersolvable': True, 'sylow': 0}
-
id: 222118094
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 25000000, 'counter': 827, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.2048._.CL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2048.CL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2048, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '(C_2\\times C_4\\times C_8).C_4^2.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 25000000, 'subgroup_tex': 'C_5^8.C_4^3', 'supersolvable': True, 'sylow': 0}
-
id: 222118095
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 25000000, 'counter': 828, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.2048._.CM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2048.CM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 2048, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '(C_2\\times C_4).C_2^5.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 25000000, 'subgroup_tex': 'C_5^7.D_{10}.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222118096
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 25000000, 'counter': 829, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.2048._.CN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2048.CN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 2048, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '(C_2\\times C_4).C_2^5.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 25000000, 'subgroup_tex': 'C_5^7.D_{10}.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222118098
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 25000000, 'counter': 830, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.2048._.CO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2048.CO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 2048, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4.C_2^4.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 25000000, 'subgroup_tex': 'C_5^7.D_{10}.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222118099
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 25000000, 'counter': 831, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.2048._.CP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2048.CP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 2048, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4.C_2^4.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 25000000, 'subgroup_tex': 'C_5^8.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 222118100
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 25000000, 'counter': 832, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.2048._.CQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2048.CQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 2048, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^5.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 25000000, 'subgroup_tex': 'C_5^8.C_4^3', 'supersolvable': True, 'sylow': 0}
-
id: 222118101
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 25000000, 'counter': 833, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.2048._.CR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2048.CR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 2048, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^5.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 25000000, 'subgroup_tex': 'C_5^8.C_4^3', 'supersolvable': True, 'sylow': 0}
-
id: 222118102
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 25000000, 'counter': 834, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.2048._.CS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2048.CS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 2048, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^5.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 25000000, 'subgroup_tex': 'C_5^8.C_4^3', 'supersolvable': True, 'sylow': 0}
-
id: 222118103
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 25000000, 'counter': 835, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.2048._.CT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2048.CT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2048, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^3.C_4^2.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 25000000, 'subgroup_tex': 'C_5^7.D_{10}.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222118104
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 25000000, 'counter': 836, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.2048._.CU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2048.CU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 2048, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^5.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 25000000, 'subgroup_tex': 'C_5^8.C_4^3', 'supersolvable': True, 'sylow': 0}
-
id: 222118105
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 25000000, 'counter': 837, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.2048._.CV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2048.CV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 2048, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4.C_2^4.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 25000000, 'subgroup_tex': 'C_5^7.D_{10}.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222118106
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 25000000, 'counter': 838, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.2048._.CW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2048.CW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 2048, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4.C_2^4.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 25000000, 'subgroup_tex': 'C_5^7.D_{10}.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222118107
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 25000000, 'counter': 839, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.2048._.CX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2048.CX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2048, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4.C_2^5.C_4.C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 25000000, 'subgroup_tex': 'C_5^7.D_{10}.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222118109
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 25000000, 'counter': 840, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.2048._.CY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2048.CY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2048, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '(C_2\\times C_4).C_2^5.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 25000000, 'subgroup_tex': 'C_5^7.D_{10}.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222118110
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 25000000, 'counter': 841, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.2048._.CZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2048.CZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 2048, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4.C_2^5.C_4.C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 25000000, 'subgroup_tex': 'C_5^7.D_{10}.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222118111
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 25000000, 'counter': 842, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.2048._.DA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2048.DA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 2048, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4.C_2^5.C_4.C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 25000000, 'subgroup_tex': 'C_5^7.D_{10}.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222118112
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 25000000, 'counter': 843, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.2048._.DB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2048.DB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2048, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^3.C_4^2.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 25000000, 'subgroup_tex': 'C_5^7.D_{10}.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222118113
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 25000000, 'counter': 844, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.2048._.DC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2048.DC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 2048, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4.C_2^5.C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 25000000, 'subgroup_tex': 'C_5^7.D_{10}.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222118114
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 25000000, 'counter': 845, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.2048._.DD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2048.DD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 2048, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4.C_2^5.C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 25000000, 'subgroup_tex': 'C_5^7.D_{10}.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222118115
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 25000000, 'counter': 846, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.2048._.DE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2048.DE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 2048, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4.C_2^4.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 25000000, 'subgroup_tex': 'C_5^7.D_{10}.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222118116
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 25000000, 'counter': 847, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.2048._.DF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2048.DF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2048, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '(C_2\\times C_4).C_2^5.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 25000000, 'subgroup_tex': 'C_5^7.D_{10}.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222118117
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 25000000, 'counter': 848, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.2048._.DG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2048.DG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 2048, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5.C_2^4.C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 25000000, 'subgroup_tex': 'C_5^8.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 222118118
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 25000000, 'counter': 849, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.2048._.DH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2048.DH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2048, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4.C_2^5.C_4.C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 25000000, 'subgroup_tex': 'C_5^7.D_{10}.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222118120
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 25000000, 'counter': 850, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.2048._.DI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2048.DI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2048, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4.C_2^5.C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 25000000, 'subgroup_tex': 'C_5^7.D_{10}.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222118121
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 25000000, 'counter': 851, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.2048._.DJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2048.DJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2048, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '(C_2\\times C_4\\times C_8).C_4^2.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 25000000, 'subgroup_tex': 'C_5^8.C_4^3', 'supersolvable': True, 'sylow': 0}
-
id: 222118122
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 25000000, 'counter': 852, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.2048._.DK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2048.DK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2048, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '(C_2\\times C_4\\times C_8).C_4^2.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 25000000, 'subgroup_tex': 'C_5^8.C_4^3', 'supersolvable': True, 'sylow': 0}
-
id: 222118123
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 25000000, 'counter': 853, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.2048._.DL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2048.DL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2048, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '(C_2\\times C_4\\times C_8).C_4^2.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 25000000, 'subgroup_tex': 'C_5^8.C_4^3', 'supersolvable': True, 'sylow': 0}
-
id: 222118124
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 25000000, 'counter': 854, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.2048._.DM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2048.DM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 2048, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '(C_2^3\\times C_4).C_2^3.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 25000000, 'subgroup_tex': 'C_5^8.C_4^3', 'supersolvable': True, 'sylow': 0}
-
id: 222118125
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 12500000, 'counter': 855, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.4096._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4096.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 4096, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5.C_2^4.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12500000.bj', 'subgroup_hash': None, 'subgroup_order': 12500000, 'subgroup_tex': 'C_5^7.(C_2^3\\times F_5)', 'supersolvable': True, 'sylow': 0}
-
id: 222118126
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 12500000, 'counter': 856, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.4096._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4096.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 4096, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4.C_2^5.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12500000.p', 'subgroup_hash': None, 'subgroup_order': 12500000, 'subgroup_tex': 'C_5^6.(C_2\\times F_5^2)', 'supersolvable': True, 'sylow': 0}
-
id: 222118127
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 12500000, 'counter': 857, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.4096._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4096.C', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 4096, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4.C_2^5.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12500000.p', 'subgroup_hash': None, 'subgroup_order': 12500000, 'subgroup_tex': 'C_5^6.(C_2\\times F_5^2)', 'supersolvable': True, 'sylow': 0}
-
id: 222118128
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 12500000, 'counter': 858, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.4096._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4096.D', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 4096, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4.C_2^5.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12500000.p', 'subgroup_hash': None, 'subgroup_order': 12500000, 'subgroup_tex': 'C_5^6.(C_2\\times F_5^2)', 'supersolvable': True, 'sylow': 0}
-
id: 222118129
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 12500000, 'counter': 859, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.4096._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4096.E', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 4096, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4.C_2^5.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12500000.p', 'subgroup_hash': None, 'subgroup_order': 12500000, 'subgroup_tex': 'C_5^6.(C_2\\times F_5^2)', 'supersolvable': True, 'sylow': 0}
-
id: 222118131
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 12500000, 'counter': 860, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.4096._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4096.F', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 4096, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4.C_2^5.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 12500000, 'subgroup_tex': 'C_5^7.D_{10}.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 222118132
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 12500000, 'counter': 861, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.4096._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4096.G', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 4096, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4.C_2^5.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 12500000, 'subgroup_tex': 'C_5^7.D_{10}.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 222118133
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 12500000, 'counter': 862, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.4096._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4096.H', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4096, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '(C_2^3\\times C_8).C_2^3.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 12500000, 'subgroup_tex': 'C_5^7.D_{10}.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 222118134
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 12500000, 'counter': 863, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.4096._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4096.I', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 4096, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '(C_2^3\\times C_4).C_2^4.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 12500000, 'subgroup_tex': 'C_5^8.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 222118135
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 12500000, 'counter': 864, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.4096._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4096.J', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 4096, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4.C_2^5.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12500000.p', 'subgroup_hash': None, 'subgroup_order': 12500000, 'subgroup_tex': 'C_5^6.(C_2\\times F_5^2)', 'supersolvable': True, 'sylow': 0}
-
id: 222118136
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 12500000, 'counter': 865, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.4096._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4096.K', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 4096, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '(C_2^3\\times C_4).C_2^4.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 12500000, 'subgroup_tex': 'C_5^8.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 222118137
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 12500000, 'counter': 866, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.4096._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4096.L', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 4096, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4.C_2^5.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 12500000, 'subgroup_tex': 'C_5^7.D_{10}.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 222118138
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 12500000, 'counter': 867, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.4096._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4096.M', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 4096, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '(C_2^3\\times C_4).C_2^4.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12500000.p', 'subgroup_hash': None, 'subgroup_order': 12500000, 'subgroup_tex': 'C_5^6.(C_2\\times F_5^2)', 'supersolvable': True, 'sylow': 0}
-
id: 222118139
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 12500000, 'counter': 868, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.4096._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4096.N', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 4096, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5.C_2^4.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 12500000, 'subgroup_tex': 'C_5^8.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 222118140
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 12500000, 'counter': 869, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.4096._.O', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4096.O', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 4096, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '(C_2^3\\times C_4).C_2^4.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 12500000, 'subgroup_tex': 'C_5^7.D_{10}.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 222118142
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 12500000, 'counter': 870, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.4096._.P', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4096.P', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 4096, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5.C_2^4.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 12500000, 'subgroup_tex': 'C_5^8.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 222118143
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 12500000, 'counter': 871, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.4096._.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4096.Q', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 4096, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '(C_2^3\\times C_8).C_2^3.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 12500000, 'subgroup_tex': 'C_5^7.D_{10}.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 222118144
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 12500000, 'counter': 872, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.4096._.R', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4096.R', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 4096, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '(C_2^3\\times C_8).C_2^3.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 12500000, 'subgroup_tex': 'C_5^8.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 222118145
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 12500000, 'counter': 873, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.4096._.S', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4096.S', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4096, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^4.C_2^2.C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 12500000, 'subgroup_tex': 'C_5^7.D_{10}.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 222118146
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 12500000, 'counter': 874, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.4096._.T', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4096.T', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 4096, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '(C_2^3\\times C_4).C_2^4.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 12500000, 'subgroup_tex': 'C_5^8.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 222118147
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 12500000, 'counter': 875, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.4096._.U', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4096.U', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 4096, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '(C_2^3\\times C_4).C_2^4.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 12500000, 'subgroup_tex': 'C_5^7.D_{10}.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 222118148
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 12500000, 'counter': 876, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.4096._.V', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4096.V', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 4096, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '(C_2^4\\times C_4).C_2^3.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12500000.bj', 'subgroup_hash': None, 'subgroup_order': 12500000, 'subgroup_tex': 'C_5^7.(C_2^3\\times F_5)', 'supersolvable': True, 'sylow': 0}
-
id: 222118149
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 12500000, 'counter': 877, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.4096._.W', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4096.W', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 4096, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '(C_2^3\\times C_4).C_2^4.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12500000.p', 'subgroup_hash': None, 'subgroup_order': 12500000, 'subgroup_tex': 'C_5^6.(C_2\\times F_5^2)', 'supersolvable': True, 'sylow': 0}
-
id: 222118150
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 12500000, 'counter': 878, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.4096._.X', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4096.X', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 4096, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '(C_2^3\\times C_8).C_2^3.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12500000.bj', 'subgroup_hash': None, 'subgroup_order': 12500000, 'subgroup_tex': 'C_5^7.(C_2^3\\times F_5)', 'supersolvable': True, 'sylow': 0}
-
id: 222118151
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 12500000, 'counter': 879, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.4096._.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4096.Y', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 4096, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '(C_2^3\\times C_4).C_2^4.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 12500000, 'subgroup_tex': 'C_5^7.D_{10}.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 222118153
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 12500000, 'counter': 880, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.4096._.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4096.Z', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 4096, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4.C_2^5.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12500000.p', 'subgroup_hash': None, 'subgroup_order': 12500000, 'subgroup_tex': 'C_5^6.(C_2\\times F_5^2)', 'supersolvable': True, 'sylow': 0}
-
id: 222118154
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 12500000, 'counter': 881, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.4096._.BA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4096.BA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 4096, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5.C_2^4.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 12500000, 'subgroup_tex': 'C_5^8.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 222118155
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 12500000, 'counter': 882, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.4096._.BB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4096.BB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 4096, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4.C_2^5.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 12500000, 'subgroup_tex': 'C_5^7.D_{10}.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 222118156
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 12500000, 'counter': 883, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.4096._.BC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4096.BC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 4096, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4.C_2^5.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 12500000, 'subgroup_tex': 'C_5^8.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 222118157
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 12500000, 'counter': 884, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.4096._.BD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4096.BD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 4096, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '(C_2^3\\times C_4).C_2^4.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 12500000, 'subgroup_tex': 'C_5^7.D_{10}.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 222118158
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 12500000, 'counter': 885, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.4096._.BE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4096.BE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 4096, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4.C_2^5.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12500000.bj', 'subgroup_hash': None, 'subgroup_order': 12500000, 'subgroup_tex': 'C_5^7.(C_2^3\\times F_5)', 'supersolvable': True, 'sylow': 0}
-
id: 222118159
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 12500000, 'counter': 886, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.4096._.BF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4096.BF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 4096, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '(C_2^3\\times C_4).C_2^4.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 12500000, 'subgroup_tex': 'C_5^7.D_{10}.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 222118160
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 12500000, 'counter': 887, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.4096._.BG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4096.BG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 4096, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '(C_2^3\\times C_4).C_2^4.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12500000.p', 'subgroup_hash': None, 'subgroup_order': 12500000, 'subgroup_tex': 'C_5^6.(C_2\\times F_5^2)', 'supersolvable': True, 'sylow': 0}
-
id: 222118161
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 12500000, 'counter': 888, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.4096._.BH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4096.BH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 4096, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5.C_2^4.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 12500000, 'subgroup_tex': 'C_5^8.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 222118162
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 12500000, 'counter': 889, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.4096._.BI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4096.BI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 4096, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '(C_2^3\\times C_4).C_2^4.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 12500000, 'subgroup_tex': 'C_5^7.D_{10}.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 222118164
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 12500000, 'counter': 890, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.4096._.BJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4096.BJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 4096, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5.C_2^4.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 12500000, 'subgroup_tex': 'C_5^8.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 222118165
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 12500000, 'counter': 891, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.4096._.BK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4096.BK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 4096, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4.C_2^5.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 12500000, 'subgroup_tex': 'C_5^7.D_{10}.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 222118166
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 12500000, 'counter': 892, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.4096._.BL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4096.BL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 4096, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4.C_2^5.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 12500000, 'subgroup_tex': 'C_5^8.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 222118167
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 12500000, 'counter': 893, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.4096._.BM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4096.BM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 4096, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5.C_2^4.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 12500000, 'subgroup_tex': 'C_5^8.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 222118168
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 12500000, 'counter': 894, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.4096._.BN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4096.BN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 4096, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '(C_2^3\\times C_8).C_2^3.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 12500000, 'subgroup_tex': 'C_5^7.D_{10}.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 222118169
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 12500000, 'counter': 895, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.4096._.BO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4096.BO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 4096, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '(C_2^4\\times C_4).C_2^3.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 12500000, 'subgroup_tex': 'C_5^8.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 222118170
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 12500000, 'counter': 896, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.4096._.BP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4096.BP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4096, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '(C_2^3\\times C_8).C_2^3.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 12500000, 'subgroup_tex': 'C_5^7.D_{10}.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 222118171
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 12500000, 'counter': 897, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.4096._.BQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4096.BQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 4096, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4.C_2^5.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 12500000, 'subgroup_tex': 'C_5^7.D_{10}.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 222118172
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 12500000, 'counter': 898, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.4096._.BR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4096.BR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 4096, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4.C_2^5.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 12500000, 'subgroup_tex': 'C_5^8.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 222118173
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 12500000, 'counter': 899, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.4096._.BS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4096.BS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 4096, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '(C_2^3\\times C_8).C_2^3.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12500000.p', 'subgroup_hash': None, 'subgroup_order': 12500000, 'subgroup_tex': 'C_5^6.(C_2\\times F_5^2)', 'supersolvable': True, 'sylow': 0}
-
id: 222118176
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 12500000, 'counter': 900, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.4096._.BT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4096.BT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 4096, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '(C_2^3\\times C_8).C_2^3.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 12500000, 'subgroup_tex': 'C_5^7.D_{10}.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 222118177
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 12500000, 'counter': 901, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.4096._.BU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4096.BU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 4096, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4.C_2^5.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 12500000, 'subgroup_tex': 'C_5^7.D_{10}.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 222118178
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 12500000, 'counter': 902, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.4096._.BV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4096.BV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 4096, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '(C_2^3\\times C_8).C_2^3.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 12500000, 'subgroup_tex': 'C_5^7.D_{10}.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 222118179
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 12500000, 'counter': 903, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.4096._.BW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4096.BW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 4096, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4.C_2^5.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 12500000, 'subgroup_tex': 'C_5^7.D_{10}.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 222118180
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 12500000, 'counter': 904, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.4096._.BX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4096.BX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 4096, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '(C_2^3\\times C_8).C_2^3.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 12500000, 'subgroup_tex': 'C_5^8.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 222118181
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 12500000, 'counter': 905, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.4096._.BY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4096.BY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 4096, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4.C_2^5.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 12500000, 'subgroup_tex': 'C_5^7.D_{10}.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 222118182
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 6250000, 'counter': 906, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8192._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8192.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 8192, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '(C_2^4\\times C_8).C_2^3.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6250000.o', 'subgroup_hash': None, 'subgroup_order': 6250000, 'subgroup_tex': 'C_5^7.(C_2^2\\times F_5)', 'supersolvable': True, 'sylow': 0}
-
id: 222118183
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6250000, 'counter': 907, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8192._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8192.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 8192, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '(C_2^3\\times C_4).C_2^5.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 6250000, 'subgroup_tex': 'C_5^8.C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 222118184
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6250000, 'counter': 908, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8192._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8192.C', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 8192, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '(C_2^3\\times C_4).C_2^5.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 6250000, 'subgroup_tex': 'C_5^8.C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 222118185
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6250000, 'counter': 909, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8192._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8192.D', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 8192, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '(C_2\\times C_4^3).C_2^3.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 6250000, 'subgroup_tex': 'C_5^8.C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 222118187
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 6250000, 'counter': 910, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8192._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8192.E', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 8192, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '(C_2^3\\times C_4).C_2^5.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 6250000, 'subgroup_tex': 'C_5^8.C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 222118188
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 6250000, 'counter': 911, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8192._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8192.F', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 8192, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '(C_2^4\\times C_4).C_2^4.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 6250000, 'subgroup_tex': 'C_5^8.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 222118189
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 6250000, 'counter': 912, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8192._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8192.G', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 8192, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '(C_2^3\\times C_4).C_2^5.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 6250000, 'subgroup_tex': 'C_5^8.C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 222118190
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 6250000, 'counter': 913, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8192._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8192.H', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 8192, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '(C_2^4\\times C_4).C_2^4.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 6250000, 'subgroup_tex': 'C_5^8.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222118191
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 6250000, 'counter': 914, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8192._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8192.I', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 8192, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '(C_2\\times C_4^3).C_2^3.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 6250000, 'subgroup_tex': 'C_5^8.C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 222118192
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 6250000, 'counter': 915, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8192._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8192.J', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 8192, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '(C_2^4\\times C_4).C_2^4.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6250000.o', 'subgroup_hash': None, 'subgroup_order': 6250000, 'subgroup_tex': 'C_5^7.(C_2^2\\times F_5)', 'supersolvable': True, 'sylow': 0}
-
id: 222118193
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 6250000, 'counter': 916, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8192._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8192.K', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 8192, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '(C_2^3\\times C_4).C_2^5.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 6250000, 'subgroup_tex': 'C_5^8.C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 222118194
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 6250000, 'counter': 917, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8192._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8192.L', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 8192, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '(C_2^4\\times C_4).C_2^4.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6250000.n', 'subgroup_hash': None, 'subgroup_order': 6250000, 'subgroup_tex': 'C_5^4.D_5^4', 'supersolvable': True, 'sylow': 0}
-
id: 222118195
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 6250000, 'counter': 918, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8192._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8192.M', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 8192, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2.C_4^3.C_4^2.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6250000.k', 'subgroup_hash': None, 'subgroup_order': 6250000, 'subgroup_tex': 'C_5^8.C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 222118196
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 6250000, 'counter': 919, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8192._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8192.N', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 8192, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5.C_2^5.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 6250000, 'subgroup_tex': 'C_5^8.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 222118198
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 6250000, 'counter': 920, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8192._.O', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8192.O', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 8192, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2.C_4^3.C_4^2.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 6250000, 'subgroup_tex': 'C_5^8.C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 222118199
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 6250000, 'counter': 921, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8192._.P', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8192.P', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 8192, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5.C_2^5.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6250000.n', 'subgroup_hash': None, 'subgroup_order': 6250000, 'subgroup_tex': 'C_5^4.D_5^4', 'supersolvable': True, 'sylow': 0}
-
id: 222118200
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 6250000, 'counter': 922, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8192._.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8192.Q', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 8192, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2.C_4^3.C_4^2.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6250000.k', 'subgroup_hash': None, 'subgroup_order': 6250000, 'subgroup_tex': 'C_5^8.C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 222118201
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 6250000, 'counter': 923, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8192._.R', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8192.R', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 8192, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5.C_2^5.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6250000.o', 'subgroup_hash': None, 'subgroup_order': 6250000, 'subgroup_tex': 'C_5^7.(C_2^2\\times F_5)', 'supersolvable': True, 'sylow': 0}
-
id: 222118202
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 6250000, 'counter': 924, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8192._.S', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8192.S', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 8192, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2.C_4^3.C_4^2.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 6250000, 'subgroup_tex': 'C_5^8.C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 222118203
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 6250000, 'counter': 925, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8192._.T', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8192.T', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 8192, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5.C_2^5.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 6250000, 'subgroup_tex': 'C_5^8.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222118204
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6250000, 'counter': 926, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8192._.U', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8192.U', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 8192, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^3.C_2^2.C_4^2.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 6250000, 'subgroup_tex': 'C_5^8.C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 222118205
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6250000, 'counter': 927, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8192._.V', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8192.V', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 8192, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^3.C_2^2.C_4^2.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 6250000, 'subgroup_tex': 'C_5^8.C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 222118206
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6250000, 'counter': 928, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8192._.W', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8192.W', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 8192, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2.C_2^5.C_2^3.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 6250000, 'subgroup_tex': 'C_5^8.C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 222118207
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6250000, 'counter': 929, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8192._.X', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8192.X', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 8192, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2.C_2^5.C_2^3.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 6250000, 'subgroup_tex': 'C_5^8.C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 222118209
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 6250000, 'counter': 930, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8192._.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8192.Y', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 8192, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '(C_2\\times C_4^3).C_2^3.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6250000.k', 'subgroup_hash': None, 'subgroup_order': 6250000, 'subgroup_tex': 'C_5^8.C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 222118210
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 6250000, 'counter': 931, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8192._.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8192.Z', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 8192, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '(C_2^4\\times C_4).C_2^4.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 6250000, 'subgroup_tex': 'C_5^8.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 222118211
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 6250000, 'counter': 932, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8192._.BA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8192.BA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 8192, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^3.C_2^2.C_4^2.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 6250000, 'subgroup_tex': 'C_5^8.C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 222118212
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 6250000, 'counter': 933, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8192._.BB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8192.BB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 8192, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '(C_2^5\\times C_4).C_2^3.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6250000.n', 'subgroup_hash': None, 'subgroup_order': 6250000, 'subgroup_tex': 'C_5^4.D_5^4', 'supersolvable': True, 'sylow': 0}
-
id: 222118213
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 6250000, 'counter': 934, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8192._.BC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8192.BC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 8192, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '(C_2^3\\times C_4).C_2^5.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6250000.k', 'subgroup_hash': None, 'subgroup_order': 6250000, 'subgroup_tex': 'C_5^8.C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 222118214
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 6250000, 'counter': 935, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8192._.BD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8192.BD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 8192, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '(C_2^4\\times C_4).C_2^4.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6250000.o', 'subgroup_hash': None, 'subgroup_order': 6250000, 'subgroup_tex': 'C_5^7.(C_2^2\\times F_5)', 'supersolvable': True, 'sylow': 0}
-
id: 222118215
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 6250000, 'counter': 936, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8192._.BE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8192.BE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 8192, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^3.C_2^2.C_4^2.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 6250000, 'subgroup_tex': 'C_5^8.C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 222118216
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 6250000, 'counter': 937, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8192._.BF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8192.BF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 8192, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '(C_2^5\\times C_4).C_2^3.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 6250000, 'subgroup_tex': 'C_5^8.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 222118217
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 6250000, 'counter': 938, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8192._.BG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8192.BG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 8192, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '(C_2^4\\times C_4).C_2^4.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 6250000, 'subgroup_tex': 'C_5^8.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 222118218
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 6250000, 'counter': 939, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8192._.BH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8192.BH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 8192, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '(C_2^4\\times C_4).C_2^4.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6250000.o', 'subgroup_hash': None, 'subgroup_order': 6250000, 'subgroup_tex': 'C_5^7.(C_2^2\\times F_5)', 'supersolvable': True, 'sylow': 0}
-
id: 222118220
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 6250000, 'counter': 940, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8192._.BI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8192.BI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 8192, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5.C_2^5.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 6250000, 'subgroup_tex': 'C_5^8.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 222118221
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 6250000, 'counter': 941, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8192._.BJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8192.BJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8192, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '(C_2\\times C_4^3).C_2^3.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 6250000, 'subgroup_tex': 'C_5^8.C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 222118222
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 6250000, 'counter': 942, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8192._.BK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8192.BK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 8192, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '(C_2^3\\times C_4).C_2^5.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6250000.k', 'subgroup_hash': None, 'subgroup_order': 6250000, 'subgroup_tex': 'C_5^8.C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 222118223
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 6250000, 'counter': 943, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8192._.BL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8192.BL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 8192, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5.C_2^5.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6250000.o', 'subgroup_hash': None, 'subgroup_order': 6250000, 'subgroup_tex': 'C_5^7.(C_2^2\\times F_5)', 'supersolvable': True, 'sylow': 0}
-
id: 222118224
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 6250000, 'counter': 944, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8192._.BM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8192.BM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 8192, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '(C_2^3\\times C_4).C_2^5.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6250000.k', 'subgroup_hash': None, 'subgroup_order': 6250000, 'subgroup_tex': 'C_5^8.C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 222118225
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 6250000, 'counter': 945, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8192._.BN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8192.BN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 8192, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^6.C_2^4.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6250000.n', 'subgroup_hash': None, 'subgroup_order': 6250000, 'subgroup_tex': 'C_5^4.D_5^4', 'supersolvable': True, 'sylow': 0}
-
id: 222118226
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 6250000, 'counter': 946, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8192._.BO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8192.BO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 8192, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '(C_2\\times C_4^3).C_2^3.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 6250000, 'subgroup_tex': 'C_5^8.C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 222118227
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 6250000, 'counter': 947, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8192._.BP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8192.BP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 8192, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '(C_2^4\\times C_8).C_2^3.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 6250000, 'subgroup_tex': 'C_5^8.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 222118228
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6250000, 'counter': 948, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.8192._.BQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8192.BQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 8192, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '(C_2\\times C_4^3).C_2^3.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 6250000, 'subgroup_tex': 'C_5^8.C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 222118229
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3125000, 'counter': 949, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.16384._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16384.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 16384, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '(C_2^4\\times C_4).C_2^5.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3125000, 'subgroup_tex': 'C_5^7.D_{10}.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 222118231
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3125000, 'counter': 950, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.16384._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16384.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 16384, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '(C_2^4\\times C_4).C_2^5.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3125000, 'subgroup_tex': 'C_5^7.D_{10}.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 222118232
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3125000, 'counter': 951, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.16384._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16384.C', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 16384, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '(C_2^4\\times C_4).C_2^5.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3125000, 'subgroup_tex': 'C_5^7.D_{10}.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 222118233
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3125000, 'counter': 952, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.16384._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16384.D', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 16384, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '(C_2^4\\times C_4).C_2^5.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3125000, 'subgroup_tex': 'C_5^6.D_5:F_5', 'supersolvable': True, 'sylow': 0}
-
id: 222118234
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 3125000, 'counter': 953, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.16384._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16384.E', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 16384, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '(C_2^2\\times C_4^3).C_2^3.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3125000, 'subgroup_tex': 'C_5^7.D_{10}.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 222118235
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 3125000, 'counter': 954, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.16384._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16384.F', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 16384, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '(C_2^5\\times C_4).C_2^4.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3125000, 'subgroup_tex': 'C_5^8.C_2^3', 'supersolvable': True, 'sylow': 0}
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id: 222118236
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 3125000, 'counter': 955, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.16384._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16384.G', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 16384, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '(C_2^4\\times C_4).C_2^5.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3125000, 'subgroup_tex': 'C_5^6.D_5:F_5', 'supersolvable': True, 'sylow': 0}
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id: 222118237
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 3125000, 'counter': 956, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.16384._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16384.H', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 16384, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '(C_2^5\\times C_4).C_2^4.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3125000, 'subgroup_tex': 'C_5^8.C_2^3', 'supersolvable': True, 'sylow': 0}
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id: 222118238
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 3125000, 'counter': 957, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.16384._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16384.I', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 16384, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '(C_2^4\\times C_4).C_2^5.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3125000, 'subgroup_tex': 'C_5^7.D_{10}.C_2', 'supersolvable': True, 'sylow': 0}
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id: 222118239
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 3125000, 'counter': 958, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.16384._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16384.J', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 16384, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^6.C_2^5.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3125000, 'subgroup_tex': 'C_5^8.C_2^3', 'supersolvable': True, 'sylow': 0}
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id: 222118240
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 3125000, 'counter': 959, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.16384._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16384.K', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 16384, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '(C_2^4\\times C_4).C_2^5.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3125000, 'subgroup_tex': 'C_5^6.D_5:F_5', 'supersolvable': True, 'sylow': 0}
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id: 222118242
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 1562500, 'counter': 960, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.32768._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '32768.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 32768, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^4.C_2^2.C_4^2.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1562500, 'subgroup_tex': 'C_5^8.C_4', 'supersolvable': True, 'sylow': 0}
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id: 222118243
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 1562500, 'counter': 961, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.32768._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '32768.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 32768, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '(C_2\\times C_4^4).C_2^3.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1562500, 'subgroup_tex': 'C_5^8.C_4', 'supersolvable': True, 'sylow': 0}
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id: 222118244
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1562500, 'counter': 962, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.32768._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '32768.C', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 32768, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '(C_2\\times C_4^4).C_2^3.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1562500, 'subgroup_tex': 'C_5^8.C_4', 'supersolvable': True, 'sylow': 0}
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id: 222118245
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 1562500, 'counter': 963, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.32768._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '32768.D', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 32768, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '(C_2^5\\times C_4).C_2^5.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1562500, 'subgroup_tex': 'C_5^7.D_{10}', 'supersolvable': True, 'sylow': 0}
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id: 222118246
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1562500, 'counter': 964, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.32768._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '32768.E', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 32768, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '(C_2^5\\times C_4).C_2^5.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1562500, 'subgroup_tex': 'C_5^7.D_{10}', 'supersolvable': True, 'sylow': 0}
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id: 222118247
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1562500, 'counter': 965, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.32768._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '32768.F', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 32768, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '(C_2^3\\times C_4^3).C_2^3.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1562500, 'subgroup_tex': 'C_5^7.D_{10}', 'supersolvable': True, 'sylow': 0}
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id: 222118248
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1562500, 'counter': 966, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.32768._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '32768.G', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 32768, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '(C_2^2\\times C_4^3).C_2^4.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1562500, 'subgroup_tex': 'C_5^8.C_4', 'supersolvable': True, 'sylow': 0}
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id: 222118249
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 781250, 'counter': 967, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '51200000000.gt.65536._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '65536.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 65536, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '(C_2^2\\times C_4^4).C_2^3.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^8.C_2', 'supersolvable': True, 'sylow': 0}
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id: 222118250
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 390625, 'counter': 968, 'cyclic': False, 'direct': None, 'hall': 5, 'label': '51200000000.gt.131072.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '131072.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 131072, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '(C_2^2\\times C_4^4).C_2^4.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 390625, 'subgroup_tex': 'C_5^8', 'supersolvable': True, 'sylow': 5}
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id: 222118251
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 969, 'cyclic': False, 'direct': None, 'hall': 2, 'label': '51200000000.gt.390625.a1.a1', 'maximal': True, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '390625.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': 390625, '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': 131072, 'subgroup_tex': '(C_2\\times C_4^5).C_2^3.C_2^3', 'supersolvable': True, 'sylow': 2}
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id: 222118253
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '51200000000.gt', 'ambient_counter': 176, 'ambient_order': 51200000000, 'ambient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'central': True, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 1, 'counter': 970, 'cyclic': True, 'direct': None, 'hall': 1, 'label': '51200000000.gt.51200000000.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '51200000000.A', 'outer_equivalence': False, 'perfect': True, 'proper': False, 'quotient': '51200000000.gt', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 51200000000, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_5^8.C_2^5.C_2^6.C_2^4.C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': True, 'subgroup': '1.1', 'subgroup_hash': None, 'subgroup_order': 1, 'subgroup_tex': 'C_1', 'supersolvable': True, 'sylow': 1}
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gps_subgroup_data • Show schema
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-
id: 222118038
{'ambient': '51200000000.gt', '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': [384142702560432544, 42378967770422286201683675126674240435115968643, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 17374858402944086181536212972629279393, 9157942499263344915263815680090, 19679114160, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.2048._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2048.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2048._.N', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118039
{'ambient': '51200000000.gt', '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': [384142702560432544, 42378967770422286201683675126674240435115968643, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 608358522430652395702110905971241981344, 9209579619345357068423135028611920166, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 19679114160, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.2048._.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2048.O', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2048._.O', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118040
{'ambient': '51200000000.gt', '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': [384142702560432544, 42378967770422286201683675126674240435115968643, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 9209579619345385168428503525571340823, 1209600, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 19679114160, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.2048._.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2048.P', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2048._.P', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118073
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 51755137245805421070810, 26584438305803368521974190053290800480, 1209600, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 19679114160, 280216752570, 1180931214473494978994271197257957580224, 42378967778587564985282380584706744310074678389, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.2048._.BS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2048.BS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2048._.BS', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118125
{'ambient': '51200000000.gt', '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': [42378967770422286201683675126674240435115968643, 384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 26584437368957304324849359192574912029, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.4096._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4096.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4096._.A', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118126
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 17374858402944086181536212972629244109, 42378967787797143667781593600862433640942471763, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.4096._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4096.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4096._.B', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118127
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 42378967787797143667781621700873514500702712429, 608358522430652395702110905971241981344, 42378967778587564985282328829569498878793774036, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.4096._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4096.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4096._.C', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118128
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 608358522430652395702110905971241981344, 42378967778587564985282328829569498878793774036, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 280216752570, 1180931214473494978994271197257957580224, 17374858402944086181536212966881260189, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.4096._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4096.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4096._.D', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118129
{'ambient': '51200000000.gt', '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': [384142702560432544, 42378967787797143667781621700873514506450863389, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 608358522430652395702110905971241981344, 42378967778587564985282328829569498878793774036, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.4096._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4096.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4096._.E', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118147
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 51755137245805421070810, 1209600, 608358522430652395702110905971241981344, 42378967778587564701768431657571448979573065763, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 280216752570, 1180931214473494978994271197257957580224, 42378967778587564985282380584706744310074678389, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.4096._.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4096.U', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4096._.U', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118148
{'ambient': '51200000000.gt', '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': [384142702560432544, 42378967770422286201683675126679952356755754803, 79855162554169010263056, 33, 1209600, 42378967778587564985282328829575210800433561636, 608358522430652395702110905971241981344, 42378967778587564701768431657571448979573065763, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.4096._.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4096.V', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4096._.V', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118149
{'ambient': '51200000000.gt', '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': [42378967770422286201683675126674240435115968643, 384142702560432544, 79855162554169010263056, 33, 1209600, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 26584437368957252569737765094989988679, 280216752570, 1180931214473494978994271197257957580224, 936846064197124830900074246429, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.4096._.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4096.W', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4096._.W', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118150
{'ambient': '51200000000.gt', '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': [384142702560432544, 42378967770422286201683675126674240435115968643, 79855162554169010263056, 33, 1209600, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 280216752570, 1180931214473494978994271197257957580224, 26584437368957304324869298591657984029, 936846064197124830900074246429, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.4096._.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4096.X', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4096._.X', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118151
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 1209600, 608358522430652395702110905971241981344, 42378967778587564701768431657571448979573065763, 20425781607291124255753750220488400069770140839, 26584437368957252569737765076268978519, 9157942499263344915263815680090, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464, 42378967770422286201683623371562645995524023069], 'label': '51200000000.gt.4096._.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4096.Y', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4096._.Y', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118169
{'ambient': '51200000000.gt', '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': [42378967770422286201683675126674240435115968643, 384142702560432544, 79855162554169010263056, 33, 1209600, 608358522430652395702110905971241981344, 26584438305803368521954250634528303280, 936846064197104891481311749229, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.4096._.BO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4096.BO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4096._.BO', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118170
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 1209600, 51755131533883781284650, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 42378967770422286201683623371542706576761836909, 280216752570, 1180931214473494978994271197257957580224, 936846064197124830900074246429, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.4096._.BP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4096.BP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4096._.BP', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118171
{'ambient': '51200000000.gt', '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': [384142702560432544, 42378967770422286201683675126674240435115968643, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 51755131533865060274490, 1209600, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.4096._.BQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4096.BQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4096._.BQ', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118172
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id: 222118173
{'ambient': '51200000000.gt', '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': [42378967770422286201683675126674240435115968643, 384142702560432544, 79855162554169010263056, 33, 26584438305803316766842656556622396170, 1209600, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 280216752570, 1180931214473494978994271197257957580224, 26584437368957252569732053154631036999, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.4096._.BS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4096.BS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4096._.BS', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118191
{'ambient': '51200000000.gt', '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': [384142702560432544, 42378967770422285918169777954676190546512326996, 79855162554169010263056, 33, 1209600, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 42378967778587564985282380584706744317219820869, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.8192._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8192.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8192._.I', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118192
{'ambient': '51200000000.gt', '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': [384142702560432544, 42378967778587564985282328829575210795124672596, 79855162554169010263056, 33, 1209600, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 280216752570, 1180931214473494978994271197257957580224, 936846064197124830900074246429, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.8192._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8192.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8192._.J', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118193
{'ambient': '51200000000.gt', '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': [384142702560432544, 42378967770422285918169777954676190546512326996, 79855162554169010263056, 33, 1209600, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 26584437368957252569737765094989988679, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.8192._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8192.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8192._.K', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118194
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 1209600, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 280216752570, 1180931214473494978994271197257957580224, 26584437368957304324869298591657984029, 936846064197124830900074246429, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.8192._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8192.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8192._.L', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118195
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 1209600, 608358522430652395702110905971241981344, 42378967778587564701768431657571448979573065763, 42378967778587564985282380584686804898455720949, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.8192._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8192.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8192._.M', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118196
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 42378967778587564985282328829569498873484961316, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.8192._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8192.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8192._.N', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118215
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 51755137245805421070810, 1209600, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 280216752570, 1180931214473494978994271197257957580224, 42378967778587564985282380584706744310074678389, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.8192._.BE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8192.BE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8192._.BE', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118216
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.8192._.BF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8192.BF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8192._.BF', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118217
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 1209600, 26584437368957304324849359192574912029, 608358522430652395702110905971241981344, 42378967778587564701768431657571448979573065763, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.8192._.BG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8192.BG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8192._.BG', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118218
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 1209600, 608358522430652395702110905971241981344, 42378967778587564701768431657571448979573065763, 42378967778587564985282328829569498878793774036, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.8192._.BH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8192.BH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8192._.BH', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118238
{'ambient': '51200000000.gt', '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': [33, 608358522430652395702110905971241981344, 280216752570, 1209600, 384142702560432544, 42378967778587564985282328829569498878793774036, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464, 9157942499263344915263815680090, 79855162554169010263056, 20425781607291124255753750220488400069770140839], 'label': '51200000000.gt.16384._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16384.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16384._.I', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118239
{'ambient': '51200000000.gt', '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': [33, 26584438305803368521974190053290800480, 608358522430652395702110905971241981344, 280216752570, 1209600, 384142702560432544, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464, 9157942499263344915263815680090, 79855162554169010263056, 20425781607291124255753750220488400069770140839], 'label': '51200000000.gt.16384._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16384.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16384._.J', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118240
{'ambient': '51200000000.gt', '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': [33, 608358522430652395702110905971241981344, 280216752570, 1209600, 384142702560432544, 42378967770422286201683675126674240435115968643, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464, 9157942499263344915263815680090, 79855162554169010263056, 20425781607291124255753750220488400069770140839], 'label': '51200000000.gt.16384._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16384.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16384._.K', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117433
{'ambient': '51200000000.gt', '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': [62762714095992133411203348686102428303393977696, 28100031020285230022464, 608358494990699441747094624795772473696, 7113748562408880, 19679114160, 936846115952229311596851692189, 187770078720, 82637946751355846939948523742243424762463340890, 7185074400, 20425781607291124255753670365345785762160668743, 186817333537895255701429216272434243199600859320, 9157942499263344915544033067553, 131783, 42378967778587564985282352484668610631702216890, 384142771057661280, 26584437368957224469726684209804030919, 26584437979137233254292091720650073669, 647475510142073733120000, 79855162553888794326993, 19939418764438320, 816513, 408960], 'label': '51200000000.gt.8._.GT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.GT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.GT', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117614
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 26584437368957304324849359192574912029, 51755131533883781284650, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209964160, 9157942499263344915263815680090, 17374858076278030769009554417497596955, 131783, 19679114160, 42378967770422286201683623371542706576761836909, 280216752570, 774596117487626362548314482200449263436717988446, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.64._.BE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.BE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.BE', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117615
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id: 222117471
{'ambient': '51200000000.gt', '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': [384142702560432544, 12494008823, 19679114160, 1209600, 9157942499263344915263815680090, 51755131533883781284650, 280216752570, 42378967770422286201683623371542706576761836909, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464, 19939418764030800, 33, 26584437368957304324869298611337098189, 17374858076278030769003842495857734475, 7113748562001360, 79855162554169010263056, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209964160, 774596117487626362548314482200449263442505994286, 26584438305803368521974190053290800480], 'label': '51200000000.gt.16._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.H', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117537
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 51755131533883781284650, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209964160, 9157942499263344915263815680090, 131783, 19679114160, 42378967770422286201683623371542706576761836909, 280216752570, 774596117487626362548314482200449263436717988446, 1180931214473494978994271197257957580224, 17374858076278030769003842495857734475, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.32._.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.P', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.P', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117551
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 51755131533883781284650, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209964160, 9157942499263344915263815680090, 131783, 19679114160, 42378967770422286201683623371542706576761836909, 774596117487626362548314482200442149693943959090, 280216752570, 1180931214473494978994271197257957580224, 17374858076278030769003842495857734475, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.32._.BC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BC', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117552
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 51755131533883781284650, 608358522430652395702110905971241981344, 774596117487626362548314482200449263442505959010, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209964160, 9157942499263344915263815680090, 131783, 19679114160, 42378967770422286201683623371542706576761836909, 280216752570, 1180931214473494978994271197257957580224, 17374858076278030769003842495857734475, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.32._.BD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BD', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117593
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 51755131533883781284650, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 42378967770422286201683623371542706576761836909, 231331231497949001402926960490745499582152671944, 280216752570, 9209579619345385168421389777008700080, 326666135267674984852880433195, 1180931214473494978994271197257957580224, 9209579619345385168434215452957948080, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.64._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.L', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117594
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 51755131533883781284650, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 42378967770422286201683623371542706576761836909, 251219854714771069994854818859078172872303621186, 280216752570, 9209579619345385168421389777008700080, 1180931214473494978994271197257957580224, 326666135267674984852880433195, 9209579619345385168434215452957948080, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.64._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.M', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117286
{'ambient': '51200000000.gt', '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': [82637946751355846939948523742243424762463340890, 251219854132988798975110827188214834765376238856, 480445590912251800777331973907405017292279187760], 'label': '51200000000.gt.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}
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id: 222117287
{'ambient': '51200000000.gt', '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': [51755131534046123317770, 304187505701052521230926288457442284800, 7113755747075783, 26584437368957224469726684490019966823, 20425781607291124255753750220488400418482898119, 280217387520, 18315078415604154914907335967450, 486580401636779520, 12494008823, 1209664, 9209579292679273555859744174163452893, 17374858686457983353545686890365155216, 26584438305803368521974190053289984090, 131783, 81591529505720969592980172143692961239253784960, 19679114160, 251219854132988798975110827188214834765376238856, 815364726441336611416928079822692552135305335010, 19939438443456000, 608358504148641941009568817235609387520, 82637945570424623962242671933695588504880910789, 816480, 79855162553888794962090], 'label': '51200000000.gt.4._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.B', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117288
{'ambient': '51200000000.gt', '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': 2, 'diagramx': None, 'generators': [62762714095992133411203348686102428303393977696, 28100031020285230022464, 608358494990699441747094624795772473696, 7113748562408880, 19679114160, 936846115952229311596851692189, 187770078720, 9209579292679325310996990048080950429, 7185074400, 20425781607291124255753670365345785762160668743, 186817333537895255701429216272434243199600859320, 9157942499263344915544033067553, 131783, 42378967778587564985282352484668610631702216890, 384142771057661280, 26584437368957224469726684209804030919, 647475510142073733120000, 79855162553888794326993, 19939418764438320, 816513, 9209579902859334095556685388165334989, 408960], 'label': '51200000000.gt.8._.BS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BS', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117289
{'ambient': '51200000000.gt', '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': 2, 'diagramx': None, 'generators': [62762714095992133411203348686102428303393977696, 146544591090428189972693871140567453501412150450, 28100031020285230022464, 608358494990699441747094624795772473696, 7113748562408880, 19679114160, 936846115952229311596851692189, 187770078720, 9209579292679325310996990048080950429, 7185074400, 20425781607291124255753670365345785762160668743, 9157942499263344915544033067553, 42378967778587564985282352484668610631702216890, 384142771057661280, 26584437368957224469726684209804030919, 186817333537895255701429216272434243199600890303, 647475510142073733120000, 79855162553888794326993, 19939418764438320, 816513, 9209579902859334095556685388165334989, 408960], 'label': '51200000000.gt.8._.BT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BT', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117290
{'ambient': '51200000000.gt', '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': 2, 'diagramx': None, 'generators': [42378967778587564985282352484668610619208373690, 42378967778587564985282352484675724380263813610, 62762714095992133411203348686102428303393977696, 28100031020285230022464, 608358494990699441747094624795772473696, 19679114160, 187770078720, 9209579292679325310996990048080950429, 42378967778587564701768483412683042895134851810, 20425781607291124255753670365345785762160668743, 774596117487626362548314482200449263442505959010, 271603972461095007157423357143249353381659641524, 9157942499263344915544033067553, 131783, 384142771057661280, 26584437368957224469726684209804030919, 647475510142073733120000, 79855162553888794326993, 19939418764438320, 42378967761212707235670461428265948975186329010, 816513, 408960], 'label': '51200000000.gt.8._.BU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BU', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117291
{'ambient': '51200000000.gt', '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': 2, 'diagramx': None, 'generators': [42378967778587564985282352484668610619208373690, 42378967778587564985282352484675724380263813610, 62762714095992133411203348686102428303393977696, 28100031020285230022464, 608358494990699441747094624795772473696, 42378967778587564985282352484668610631702252173, 19679114160, 187770078720, 9209579292679325310996990048080950429, 42378967778587564701768483412683042895134851810, 20425781607291124255753670365345785762160668743, 9157942499263344915544033067553, 814868859623283376743310930168996030838515095075, 384142771057661280, 26584437368957224469726684209804030919, 231331231497949001402926960490745499582152671944, 647475510142073733120000, 79855162553888794326993, 19939418764438320, 42378967761212707235670461428265948975186329010, 816513, 408960], 'label': '51200000000.gt.8._.BV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BV', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117292
{'ambient': '51200000000.gt', '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': 2, 'diagramx': None, 'generators': [62762714095992133411203348686102428303393977696, 28100031020285230022464, 608358494990699441747094624795772473696, 7113748562408880, 19679114160, 936846115952229311596851692189, 187770078720, 9209579292679325310996990048080950429, 7185074400, 20425781607291124255753670365345785762160668743, 754707493983991691139308440090643600490976791033, 9157942499263344915544033067553, 42378967778587564985282352484668610631702216890, 384142771057661280, 26584437368957224469726684209804030919, 186817333537895255701429216272434243199600890303, 647475510142073733120000, 79855162553888794326993, 19939418764438320, 816513, 9209579902859334095556685388165334989, 408960], 'label': '51200000000.gt.8._.BW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BW', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117293
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id: 222117294
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id: 222117295
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id: 222117296
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id: 222117297
{'ambient': '51200000000.gt', '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': 2, 'diagramx': None, 'generators': [42378967778587564985282352484668610619208373690, 42378967778587564985282352484675724380263813610, 62762714095992133411203348686102428303393977696, 28100031020285230022464, 608358494990699441747094624795772473696, 19679114160, 187770078720, 9209579292679325310996990048080950429, 42378967778587564701768483412683042895134851810, 20425781607291124255753670365345785762160668743, 9157942499263344915544033067553, 131783, 814868859623283376743310930168996030838515095075, 384142771057661280, 26584437368957224469726684209804030919, 231331231497949001402926960490745499582152671944, 647475510142073733120000, 79855162553888794326993, 19939418764438320, 42378967761212707235670461428265948975186329010, 816513, 408960], 'label': '51200000000.gt.8._.CB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CB', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117298
{'ambient': '51200000000.gt', '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': [51755131534046123317770, 304187505701052521230926288457442284800, 7113755747075783, 26584437368957224469726684490019966823, 20425781607291124255753750220488400418482898119, 280217387520, 544311317165518819855853074144363305461320961235, 18315078415604154914907335967450, 486580401636779520, 12494008823, 1209664, 9209579292679273555859744174163452893, 17374858686457983353545686890365155216, 26584438305803368521974190053289984090, 131783, 81591529505720969592980172143692961239253784960, 19679114160, 815364726441336611416928079822692552135305335010, 19939438443456000, 608358504148641941009568817235609387520, 82637945570424623962242671933695588504880910789, 816480, 79855162553888794962090], 'label': '51200000000.gt.4._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.C', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117299
{'ambient': '51200000000.gt', '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': 2, 'diagramx': None, 'generators': [42378967778587564985282352484675724380263813610, 62762714095992133411203348686102428303393977696, 28100031020285230022464, 608358494990699441747094624795772473696, 42378967778587564985282352484668610631702252173, 19679114160, 187770078720, 9209579292679325310996990048080950429, 7185074400, 42378967778587564701768483412683042895134851810, 20425781607291124255753670365345785762160668743, 271603972461095007157423357143249353381659641524, 9157942499263344915544033067553, 814868859623283376743310930168996030838515095075, 384142771057661280, 26584437368957224469726684209804030919, 647475510142073733120000, 79855162553888794326993, 19939418764438320, 42378967761212707235670461428265948975186329010, 816513, 408960], 'label': '51200000000.gt.8._.CC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CC', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117300
{'ambient': '51200000000.gt', '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': 2, 'diagramx': None, 'generators': [42378967770422286201683675126674240086402152893, 28100031020285230022464, 26584437368957304324849359353518240023, 41869336903510541630893209887169105288570078784, 79855162553820298549680, 19679114160, 187770078720, 19939418764473623, 7185074400, 816480, 82637946751355846939948523742243424849162630455, 20425781607291124255753750220488400418482262989, 256806323085312000, 1938901383840457580544000, 608358530357747416705544286372716544000, 544311317165518819855853074144363305461320829450, 35367047974958807818174464000000, 9209579902859305995538491028884965783, 26584438305803368521974190053290800480, 816513, 17374858076278002668998474081764304570, 815364726145577576629853473588033262728679270399], 'label': '51200000000.gt.8._.CD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CD', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117595
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 51755131533883781284650, 608358522430652395702110905971241981344, 7113748562001360, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 19679114160, 251219854714771069994854818859078172872303621186, 42378967770422286201683623371542706576761836909, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464, 17374858076278030769003842495857734475], 'label': '51200000000.gt.64._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.N', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117301
{'ambient': '51200000000.gt', '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': 2, 'diagramx': None, 'generators': [42378967770422286201683675126674240086402152893, 28100031020285230022464, 26584437368957304324849359353518240023, 41869336903510541630893209887169105288570078784, 79855162553820298549680, 19679114160, 187770078720, 19939418764473623, 82637946751355846939948523742243424762463340890, 7185074400, 816480, 20425781607291124255753750220488400418482262989, 256806323085312000, 1938901383840457580544000, 608358530357747416705544286372716544000, 544311317165518819855853074144363305461320829450, 35367047974958807818174464000000, 9209579902859305995538491028884965783, 26584438305803368521974190053290800480, 816513, 17374858076278002668998474081764304570, 815364726145577576629853473588033262728679270399], 'label': '51200000000.gt.8._.CE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CE', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117302
{'ambient': '51200000000.gt', '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': 2, 'diagramx': None, 'generators': [608358530357747416705544286372716544000, 42378967770422286201683675126674240086402152893, 79855162553820298549680, 17374858076278002668998474081764304570, 82637946751355846939948523742243424849162630455, 28100031020285230022464, 256806323085312000, 7185074400, 35367047974958807818174464000000, 544311317165518819855853074144363305461320961235, 816513, 26584437368957304324849359353518240023, 19939418764473623, 1938901383840457580544000, 815364726145577576629853473588033262728679270399, 19679114160, 187770078720, 26584438305803368521974190053290800480, 41869336903510541630893209887169105288570078784, 816480, 20425781607291124255753750220488400418482262989, 9209579902859305995538491028884965783], 'label': '51200000000.gt.8._.CF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CF', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117303
{'ambient': '51200000000.gt', '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': 2, 'diagramx': None, 'generators': [42378967770422286201683675126674240086402152893, 28100031020285230022464, 26584437368957304324849359353518240023, 41869336903510541630893209887169105288570078784, 79855162553820298549680, 19679114160, 187770078720, 19939418764473623, 82637946751355846939948523742243424762463340890, 7185074400, 816480, 20425781607291124255753750220488400418482262989, 256806323085312000, 1938901383840457580544000, 608358530357747416705544286372716544000, 544311317165518819855853074144363305461320961235, 35367047974958807818174464000000, 9209579902859305995538491028884965783, 26584438305803368521974190053290800480, 816513, 17374858076278002668998474081764304570, 815364726145577576629853473588033262728679270399], 'label': '51200000000.gt.8._.CG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CG', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117304
{'ambient': '51200000000.gt', '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': 2, 'diagramx': None, 'generators': [187770078720, 1938901383840457580544000, 815364726145577576629853473588033262710517046479, 26584438305803368521974190053290800480, 42378967770422286201683675126674240086402152893, 79855162553820298549680, 815364726145577576629853473588040376477241075199, 26584437368957304324849359353518240023, 608358530357747416705544286372716544000, 816513, 41869336903510541630893209887169105288570078784, 17374858076278002668998474081764304570, 35367047974958807818174464000000, 131783, 20425781607291124255753750220488400418482262989, 19679114160, 709643057146255116824351517988570397411126449920, 28100031020285230022464, 256806323085312000, 9209579902859305995538491028884965783, 816480, 19939418764473623], 'label': '51200000000.gt.8._.CH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CH', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117305
{'ambient': '51200000000.gt', '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': 2, 'diagramx': None, 'generators': [187770078720, 1938901383840457580544000, 815364726145577576629853473588033262710517046479, 26584438305803368521974190053290800480, 42378967770422286201683675126674240086402152893, 79855162553820298549680, 26584437368957304324849359353518240023, 608358530357747416705544286372716544000, 816513, 7113748562001360, 41869336903510541630893209887169105288570078784, 17374858076278002668998474081764304570, 35367047974958807818174464000000, 131783, 20425781607291124255753750220488400418482262989, 19679114160, 709643057146255116824351517988570397411126449920, 28100031020285230022464, 256806323085312000, 9209579902859305995538491028884965783, 816480, 19939418764473623], 'label': '51200000000.gt.8._.CI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CI', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117306
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id: 222117307
{'ambient': '51200000000.gt', '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': 2, 'diagramx': None, 'generators': [42378967770422286201683675126674240086402152893, 28100031020285230022464, 26584437368957304324849359353518240023, 41869336903510541630893209887169105288570078784, 79855162553820298549680, 19679114160, 187770078720, 19939418764473623, 7185074400, 816480, 20425781607291124255753750220488400418482262989, 256806323085312000, 1938901383840457580544000, 131783, 608358530357747416705544286372716544000, 7113748562001360, 544311317165518819855853074144363305461320961235, 35367047974958807818174464000000, 9209579902859305995538491028884965783, 26584438305803368521974190053290800480, 816513, 17374858076278002668998474081764304570], 'label': '51200000000.gt.8._.CK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CK', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117308
{'ambient': '51200000000.gt', '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': 2, 'diagramx': None, 'generators': [42378967778587564985282352484675724380263813610, 599157174230392264722397680785734854996, 62762714095992133411203348686102428303393977696, 28100031020285230022464, 608358494990699441747094624795772473696, 42378967778587564985282352484668610631702252173, 19679114160, 187770078720, 9209579292679325310996990048080950429, 7185074400, 42378967778587564701768483412683042895134851810, 20425781607291124255753670365345785762160668743, 9157942499263344915544033067553, 814868859623283376743310930168996030838515095075, 384142771057661280, 26584437368957224469726684209804030919, 647475510142073733120000, 79855162553888794326993, 19939418764438320, 42378967761212707235670461428265948975186329010, 816513, 408960], 'label': '51200000000.gt.8._.CL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CL', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117309
{'ambient': '51200000000.gt', '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': [51755131534046123317770, 480445590912251800777331973907405017292279187760, 304187505701052521230926288457442284800, 7113755747075783, 26584437368957224469726684490019966823, 20425781607291124255753750220488400418482898119, 280217387520, 18315078415604154914907335967450, 486580401636779520, 12494008823, 1209664, 9209579292679273555859744174163452893, 17374858686457983353545686890365155216, 26584438305803368521974190053289984090, 131783, 81591529505720969592980172143692961239253784960, 19679114160, 815364726441336611416928079822692552135305335010, 19939438443456000, 608358504148641941009568817235609387520, 82637945570424623962242671933695588504880910789, 816480, 79855162553888794962090], 'label': '51200000000.gt.4._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.D', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117310
{'ambient': '51200000000.gt', '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': 2, 'diagramx': None, 'generators': [42378967778587564985282352484675724380263813610, 599157174230392264722397680785734854996, 62762714095992133411203348686102428303393977696, 28100031020285230022464, 608358494990699441747094624795772473696, 19679114160, 187770078720, 9209579292679325310996990048080950429, 7185074400, 42378967778587564701768483412683042895134851810, 20425781607291124255753670365345785762160668743, 9157942499263344915544033067553, 131783, 814868859623283376743310930168996030838515095075, 384142771057661280, 26584437368957224469726684209804030919, 647475510142073733120000, 79855162553888794326993, 19939418764438320, 42378967761212707235670461428265948975186329010, 816513, 408960], 'label': '51200000000.gt.8._.CM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CM', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117311
{'ambient': '51200000000.gt', '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': 2, 'diagramx': None, 'generators': [20425781607291124255753670365345785762160668743, 187770078720, 647475510142073733120000, 82637946751355846939948523742243424762463340890, 42378967778587564985282352484675724380263813610, 408960, 384142771057661280, 42378967761212707235670461428265948975186329010, 9209579292679325310996990048080950429, 79855162553888794326993, 816513, 7185074400, 19939418764438320, 42378967778587564985282352484668610631702252173, 774596117487626362548314482200449263442505959010, 26584437368957224469726684209804030919, 9157942499263344915544033067553, 19679114160, 42378967778587564701768483412683042895134851810, 28100031020285230022464, 62762714095992133411203348686102428303393977696, 608358494990699441747094624795772473696], 'label': '51200000000.gt.8._.CN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CN', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117312
{'ambient': '51200000000.gt', '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': 2, 'diagramx': None, 'generators': [42378967778587564985282352484675724380263813610, 62762714095992133411203348686102428303393977696, 28100031020285230022464, 608358494990699441747094624795772473696, 19679114160, 187770078720, 82637946751355846939948523742243424762463340890, 9209579292679325310996990048080950429, 7185074400, 42378967778587564701768483412683042895134851810, 20425781607291124255753670365345785762160668743, 774596117487626362548314482200449263442505959010, 9157942499263344915544033067553, 131783, 384142771057661280, 26584437368957224469726684209804030919, 647475510142073733120000, 79855162553888794326993, 19939418764438320, 42378967761212707235670461428265948975186329010, 816513, 408960], 'label': '51200000000.gt.8._.CO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CO', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117596
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 51755131533883781284650, 608358522430652395702110905971241981344, 7113748562001360, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 19679114160, 42378967770422286201683623371542706576761836909, 231331231497949001402926960490745499582152671944, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464, 17374858076278030769003842495857734475], 'label': '51200000000.gt.64._.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.O', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.O', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117313
{'ambient': '51200000000.gt', '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': 2, 'diagramx': None, 'generators': [42378967770422286201683675126674240086402152893, 28100031020285230022464, 26584437368957304324849359353518240023, 41869336903510541630893209887169105288570078784, 79855162553820298549680, 19679114160, 187770078720, 816480, 20425781607291124255753750220488400418482262989, 256806323085312000, 1938901383840457580544000, 131783, 608358530357747416705544286372716544000, 544311316280354907249562216584672463788162254796, 19939425949382423, 35367047974958807818174464000000, 9209579902859305995538491028884965783, 524422693384552432570785172945331415103284428229, 26584438305803368521974190053290800480, 816513, 17374858076278002668998474081764304570, 815364726145577576629853473588033262728679270399], 'label': '51200000000.gt.8._.CP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CP', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117314
{'ambient': '51200000000.gt', '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': 2, 'diagramx': None, 'generators': [42378967770422286201683675126674240086402152893, 28100031020285230022464, 26584437368957304324849359353518240023, 41869336903510541630893209887169105288570078784, 79855162553820298549680, 19679114160, 544311317165518819855853074144376131131522223875, 187770078720, 816480, 20425781607291124255753750220488400418482262989, 256806323085312000, 1938901383840457580544000, 131783, 608358530357747416705544286372716544000, 19939425949382423, 35367047974958807818174464000000, 9209579902859305995538491028884965783, 524422693384552432570785172945331415103284428229, 26584438305803368521974190053290800480, 816513, 17374858076278002668998474081764304570, 815364726145577576629853473588033262728679270399], 'label': '51200000000.gt.8._.CQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CQ', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117315
{'ambient': '51200000000.gt', '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': 2, 'diagramx': None, 'generators': [42378967770422286201683675126674240086402152893, 28100031020285230022464, 26584437368957304324849359353518240023, 41869336903510541630893209887169105288570078784, 79855162553820298549680, 19679114160, 187770078720, 816480, 524422693662681727209699234332080854043103717866, 20425781607291124255753750220488400418482262989, 256806323085312000, 1938901383840457580544000, 131783, 608358530357747416705544286372716544000, 544311316280354907249562216584672463788162254796, 19939425949382423, 35367047974958807818174464000000, 9209579902859305995538491028884965783, 26584438305803368521974190053290800480, 816513, 17374858076278002668998474081764304570, 815364726145577576629853473588033262728679270399], 'label': '51200000000.gt.8._.CR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CR', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117316
{'ambient': '51200000000.gt', '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': 2, 'diagramx': None, 'generators': [42378967770422286201683675126674240086402152893, 28100031020285230022464, 26584437368957304324849359353518240023, 41869336903510541630893209887169105288570078784, 79855162553820298549680, 19679114160, 544311317165518819855853074144376131131522223875, 187770078720, 816480, 524422693662681727209699234332080854043103717866, 20425781607291124255753750220488400418482262989, 256806323085312000, 1938901383840457580544000, 131783, 608358530357747416705544286372716544000, 35367047974958807818174464000000, 19939425949382423, 9209579902859305995538491028884965783, 26584438305803368521974190053290800480, 816513, 17374858076278002668998474081764304570, 815364726145577576629853473588033262728679270399], 'label': '51200000000.gt.8._.CS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CS', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117317
{'ambient': '51200000000.gt', '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': 2, 'diagramx': None, 'generators': [187770078720, 1938901383840457580544000, 815364726145577576629853473588033262710517046479, 26584438305803368521974190053290800480, 42378967770422286201683675126674240086402152893, 79855162553820298549680, 815364726145577576629853473588040376477241075199, 689796096861013923255631280658860273604241758690, 26584437368957304324849359353518240023, 608358530357747416705544286372716544000, 816513, 41869336903510541630893209887169105288570078784, 17374858076278002668998474081764304570, 35367047974958807818174464000000, 131783, 20425781607291124255753750220488400418482262989, 19679114160, 28100031020285230022464, 256806323085312000, 9209579902859305995538491028884965783, 816480, 19939418764473623], 'label': '51200000000.gt.8._.CT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CT', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117318
{'ambient': '51200000000.gt', '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': 2, 'diagramx': None, 'generators': [42378967770422286201683675126674240086402152893, 28100031020285230022464, 26584437368957304324849359353518240023, 41869336903510541630893209887169105288570078784, 79855162553820298549680, 19679114160, 187770078720, 19939418764473623, 815364726145577576629853473588033262710517046479, 816480, 20425781607291124255753750220488400418482262989, 256806323085312000, 1938901383840457580544000, 131783, 608358530357747416705544286372716544000, 7113748562001360, 35367047974958807818174464000000, 9209579902859305995538491028884965783, 689796096861013923255631280658860273604241758690, 26584438305803368521974190053290800480, 816513, 17374858076278002668998474081764304570], 'label': '51200000000.gt.8._.CU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CU', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117319
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id: 222117320
{'ambient': '51200000000.gt', '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': [26584437368957304324849359541286867319, 911748377415201578877521596550603961696, 304187497773954913850497617188247160384, 12494008823, 19679114160, 9209579902859334095549571552385125719, 28100025308544652159200, 20935040445082060716666554737023778765701120000, 187769443680, 524422693662681727209699234332080854043103717866, 20425781607291124255753750220488400069769340166, 131783, 19939418764030800, 79855162553888794568913, 27439951015054247445484074374400, 42378967770422286201683651471573726511880396883, 26584438305803288666811636621064278960, 408993, 12825677387134800, 384142610112307264, 794471348649706112779960119071219747038821542366, 9209579292679301655870825134553265933, 408960], 'label': '51200000000.gt.4._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.E', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117321
{'ambient': '51200000000.gt', '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': 2, 'diagramx': None, 'generators': [42378967770422286201683675126674240086402152893, 28100031020285230022464, 26584437368957304324849359353518240023, 41869336903510541630893209887169105288570078784, 79855162553820298549680, 19679114160, 187770078720, 7185074400, 816480, 524422693662681727209699234332080854043103717866, 815364726145577576629853473588053202147442126856, 20425781607291124255753750220488400418482262989, 256806323085312000, 1938901383840457580544000, 608358530357747416705544286372716544000, 7113748562001360, 35367047974958807818174464000000, 815364726145577576629853473588033262728679225016, 9209579902859305995538491028884965783, 26584438305803368521974190053290800480, 816513, 17374858076278002668998474081764304570], 'label': '51200000000.gt.8._.CW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CW', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117322
{'ambient': '51200000000.gt', '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': 2, 'diagramx': None, 'generators': [42378967770422286201683675126674240086402152893, 28100031020285230022464, 26584437368957304324849359353518240023, 41869336903510541630893209887169105288570078784, 79855162553820298549680, 19679114160, 187770078720, 7113748561970423, 816480, 20425781607291124255753750220488400418482262989, 256806323085312000, 1938901383840457580544000, 524422693662681727209699234332080853956404428204, 608358530357747416705544286372716544000, 19939425949382423, 35367047974958807818174464000000, 9209579902859305995538491028884965783, 19939418764438320, 26584438305803368521974190053290800480, 816513, 17374858076278002668998474081764304570, 815364726145577576629853473588033262728679270399], 'label': '51200000000.gt.8._.CX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CX', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117323
{'ambient': '51200000000.gt', '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': 2, 'diagramx': None, 'generators': [7185105383, 20425781607291124255753670365345785762160668743, 187770078720, 647475510142073733120000, 408960, 384142771057661280, 7113748562408880, 936846115952229311596851692189, 9209579292679325310996990048080950429, 79855162553888794326993, 816513, 19939418764438320, 9209579902859334095556685375232241389, 42378967778587564985282352484668610631702216890, 754707493983991691139308440090643600577635443113, 26584437368957224469726684209804030919, 9157942499263344915544033067553, 19679114160, 28100031020285230022464, 62762714095992133411203348686102428303393977696, 608358494990699441747094624795772473696, 186817333537895255701429164517559515832461531320], 'label': '51200000000.gt.8._.CY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CY', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117324
{'ambient': '51200000000.gt', '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': 2, 'diagramx': None, 'generators': [20425781607291124255753670365345785762160668743, 187770078720, 647475510142073733120000, 408960, 384142771057661280, 7113748562408880, 936846115952229311596851692189, 9209579292679325310996990048080950429, 79855162553888794326993, 816513, 19939418764438320, 9209579902859334095556685375232241389, 42378967778587564985282352484668610631702216890, 754707493983991691139308440090643600577635443113, 131783, 26584437368957224469726684209804030919, 9157942499263344915544033067553, 19679114160, 28100031020285230022464, 62762714095992133411203348686102428303393977696, 608358494990699441747094624795772473696, 186817333537895255701429164517559515832461531320], 'label': '51200000000.gt.8._.CZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CZ', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117644
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 51755131533883781284650, 608358522430652395702110905971241981344, 9209579619345385168428503525571305520, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 131783, 19679114160, 17374858402944086181536212972629244109, 42378967770422286201683623371542706576761836909, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464, 17374858076278030769003842495857734475], 'label': '51200000000.gt.128._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.B', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117325
{'ambient': '51200000000.gt', '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': 2, 'diagramx': None, 'generators': [62762714095992133411203348686102428303393977696, 28100031020285230022464, 608358494990699441747094624795772473696, 7113748562408880, 19679114160, 936846115952229311596851692189, 187770078720, 9209579292679325310996990048080950429, 20425781607291124255753670365345785762160668743, 754707493983991691139308440090643600490976791033, 9209579902859334095556685375232241389, 9157942499263344915544033067553, 186817333537895255701429164517559515832461531320, 42378967778587564985282352484668610631702216890, 384142771057661280, 26584437368957224469726684209804030919, 647475510142073733120000, 79855162553888794326993, 19939418764438320, 7185105383, 816513, 408960], 'label': '51200000000.gt.8._.DA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.DA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.DA', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117326
{'ambient': '51200000000.gt', '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': 2, 'diagramx': None, 'generators': [187770078720, 1938901383840457580544000, 26584438305803368521974190053290800480, 42378967770422286201683675126674240086402152893, 79855162553820298549680, 524422693662681727209699234332080854043103717866, 26584437368957304324849359353518240023, 608358530357747416705544286372716544000, 816513, 7185074400, 41869336903510541630893209887169105288570078784, 17374858076278002668998474081764304570, 35367047974958807818174464000000, 131783, 20425781607291124255753750220488400418482262989, 19679114160, 28100031020285230022464, 256806323085312000, 815364726145577576629853473588033262728679270399, 9209579902859305995538491028884965783, 816480, 19939418764473623], 'label': '51200000000.gt.8._.DB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.DB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.DB', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117327
{'ambient': '51200000000.gt', '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': 2, 'diagramx': None, 'generators': [62762714095992133411203348686102428303393977696, 28100031020285230022464, 608358494990699441747094624795772473696, 7113748562408880, 19679114160, 936846115952229311596851692189, 187770078720, 9209579292679325310996990048080950429, 20425781607291124255753670365345785762160668743, 754707493983991691139308440090643600490976791033, 9209579902859334095556685375232241389, 9157942499263344915544033067553, 131783, 186817333537895255701429164517559515832461531320, 42378967778587564985282352484668610631702216890, 384142771057661280, 26584437368957224469726684209804030919, 647475510142073733120000, 79855162553888794326993, 19939418764438320, 816513, 408960], 'label': '51200000000.gt.8._.DC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.DC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.DC', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117328
{'ambient': '51200000000.gt', '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': 2, 'diagramx': None, 'generators': [9157942499263344915612530054400, 96, 19939425948731543, 26584437368957304324849359353518240023, 17374858686457931598408441266086886400, 28100031020285230022464, 19679114160, 1180931223598367578444978690220295148800, 42378967770422286201683651471573726605724793613, 348713164800, 20425781607291124255753750220488400418483714503, 480445590912251792534457799940718143512542611760, 7185074400, 82637946751355846939948523742243424849162630455, 62762714095992133411200866892008914944000000064, 128424084332544000, 774596117200813785330967943971318531064319559170, 79855162554075086032560, 26584438305803288666811636621065730480, 647475894284496076800000, 9209579292679325310996990141924304573, 408960], 'label': '51200000000.gt.8._.DD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.DD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.DD', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117329
{'ambient': '51200000000.gt', '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': 2, 'diagramx': None, 'generators': [9157942499263344915612530054400, 96, 19939425948731543, 26584437368957304324849359353518240023, 17374858686457931598408441266086886400, 28100031020285230022464, 1180931223598367578444978690220295148800, 19679114160, 42378967770422286201683651471573726605724793613, 348713164800, 82637946751355846939948523742243424762463340890, 480445590912251792534457799940718143512542611760, 20425781607291124255753750220488400418483714503, 7185074400, 62762714095992133411200866892008914944000000064, 128424084332544000, 774596117200813785330967943971318531064319559170, 79855162554075086032560, 26584438305803288666811636621065730480, 647475894284496076800000, 9209579292679325310996990141924304573, 408960], 'label': '51200000000.gt.8._.DE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.DE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.DE', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117330
{'ambient': '51200000000.gt', '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': 2, 'diagramx': None, 'generators': [9157942499263344915612530054400, 96, 19939425948731543, 26584437368957304324849359353518240023, 17374858686457931598408441266086886400, 28100031020285230022464, 1180931223598367578444978690220295148800, 19679114160, 42378967770422286201683651471573726605724793613, 348713164800, 20425781607291124255753750220488400418483714503, 7185074400, 82637946751355846939948523742243424849162630455, 62762714095992133411200866892008914944000000064, 128424084332544000, 774596117200813785330967943971318531064319559170, 79855162554075086032560, 26584438305803288666811636621065730480, 647475894284496076800000, 9209579292679325310996990141924304573, 480445590912251800777331973907405017292279187760, 408960], 'label': '51200000000.gt.8._.DF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.DF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.DF', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117331
{'ambient': '51200000000.gt', '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': [911748377415201578877521596550603961696, 26584437368957304324849359541286867319, 304187497773954913850497617188247160384, 12494008823, 19679114160, 9209579902859334095549571552385125719, 28100025308544652159200, 20935040445082060716666554737023778765701120000, 187769443680, 420297990190405276939795813780499152296606513210, 20425781607291124255753750220488400069769340166, 131783, 19939418764030800, 79855162553888794568913, 27439951015054247445484074374400, 42378967770422286201683651471573726511880396883, 26584438305803288666811636621064278960, 408993, 12825677387134800, 384142610112307264, 794471348649706112779960119071219747038821542366, 9209579292679301655870825134553265933, 408960], 'label': '51200000000.gt.4._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.F', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117332
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id: 222117333
{'ambient': '51200000000.gt', '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': 2, 'diagramx': None, 'generators': [9157942499263344915612530054400, 96, 19939425948731543, 26584437368957304324849359353518240023, 17374858686457931598408441266086886400, 28100031020285230022464, 1180931223598367578444978690220295148800, 19679114160, 42378967770422286201683651471573726605724793613, 348713164800, 20425781607291124255753750220488400418483714503, 62762714095992133411200866892008914944000000064, 128424084332544000, 480445590330469502622522721777863731158519187760, 774596117200813785330967943971318531064319559170, 131783, 79855162554075086032560, 26584438305803288666811636621065730480, 82637946751355846939948523742256250600793445850, 647475894284496076800000, 9209579292679325310996990141924304573, 408960], 'label': '51200000000.gt.8._.DH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.DH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.DH', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117334
{'ambient': '51200000000.gt', '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': 2, 'diagramx': None, 'generators': [9157942499263344915612530054400, 96, 19939425948731543, 26584437368957304324849359353518240023, 17374858686457931598408441266086886400, 28100031020285230022464, 1180931223598367578444978690220295148800, 19679114160, 42378967770422286201683651471573726605724793613, 348713164800, 20425781607291124255753750220488400418483714503, 62762714095992133411200866892008914944000000064, 82637946751355846939948523742256250432664615050, 128424084332544000, 480445590330469502622522721777863731158519187760, 774596117200813785330967943971318531064319559170, 131783, 79855162554075086032560, 26584438305803288666811636621065730480, 647475894284496076800000, 9209579292679325310996990141924304573, 408960], 'label': '51200000000.gt.8._.DI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.DI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.DI', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117335
{'ambient': '51200000000.gt', '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': 2, 'diagramx': None, 'generators': [9157942499263344915612530054400, 96, 19939425948731543, 26584437368957304324849359353518240023, 17374858686457931598408441266086886400, 28100031020285230022464, 1180931223598367578444978690220295148800, 19679114160, 42378967770422286201683651471573726605724793613, 348713164800, 20425781607291124255753750220488400418483714503, 62762714095992133411200866892008914944000000064, 128424084332544000, 774596117200813785330967943971318531064319559170, 131783, 79855162554075086032560, 26584438305803288666811636621065730480, 82637946751355846939948523742256250600793445850, 647475894284496076800000, 9209579292679325310996990141924304573, 480445590912251800777331973907405017292279187760, 408960], 'label': '51200000000.gt.8._.DJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.DJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.DJ', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117336
{'ambient': '51200000000.gt', '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': 2, 'diagramx': None, 'generators': [9157942499263344915612530054400, 96, 19939425948731543, 26584437368957304324849359353518240023, 17374858686457931598408441266086886400, 28100031020285230022464, 1180931223598367578444978690220295148800, 19679114160, 42378967770422286201683651471573726605724793613, 348713164800, 20425781607291124255753750220488400418483714503, 62762714095992133411200866892008914944000000064, 82637946751355846939948523742256250432664615050, 128424084332544000, 774596117200813785330967943971318531064319559170, 131783, 79855162554075086032560, 26584438305803288666811636621065730480, 647475894284496076800000, 9209579292679325310996990141924304573, 480445590912251800777331973907405017292279187760, 408960], 'label': '51200000000.gt.8._.DK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.DK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.DK', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117611
{'ambient': '51200000000.gt', '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': [774596117487626362548312568027209858002749303646, 384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 26584437368957304324849359192574912029, 51755131533883781284650, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209964160, 9157942499263344915263815680090, 17374858076278030769009554417497596955, 131783, 19679114160, 42378967770422286201683623371542706576761836909, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.64._.BB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.BB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.BB', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117337
{'ambient': '51200000000.gt', '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': 2, 'diagramx': None, 'generators': [9157942499263344915612530054400, 96, 26584437368957304324849359353518240023, 17374858686457931598408441266086886400, 28100031020285230022464, 1180931223598367578444978690220295148800, 19679114160, 42378967770422286201683651471573726605724793613, 348713164800, 20425781607291124255753750220488400418483714503, 62762714095992133411200866892008914944000000064, 128424084332544000, 774596117200813785330967943971298591639847476366, 131783, 774596117200813785330967943971318531058611375410, 335469696594274652101015290718740397823899266503, 79855162554075086032560, 26584438305803288666811636621065730480, 647475894284496076800000, 774596117200813785330967943971311417315757689570, 9209579292679325310996990141924304573, 408960], 'label': '51200000000.gt.8._.DL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.DL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.DL', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117338
{'ambient': '51200000000.gt', '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': 2, 'diagramx': None, 'generators': [9157942499263344915612530054400, 96, 26584437368957304324849359353518240023, 17374858686457931598408441266086886400, 28100031020285230022464, 1180931223598367578444978690220295148800, 19679114160, 42378967770422286201683651471573726605724793613, 348713164800, 20425781607291124255753750220488400418483714503, 62762714095992133411200866892008914944000000064, 128424084332544000, 774596117200813785330967943971298591639847476366, 131783, 774596117200813785330967943971318531058611375410, 335469696594274652101015290718740397823899266503, 79855162554075086032560, 26584438305803288666811636621065730480, 7113748562001360, 647475894284496076800000, 9209579292679325310996990141924304573, 408960], 'label': '51200000000.gt.8._.DM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.DM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.DM', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117339
{'ambient': '51200000000.gt', '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': 2, 'diagramx': None, 'generators': [9157942499263344915612530054400, 96, 26584437368957304324849359353518240023, 17374858686457931598408441266086886400, 28100031020285230022464, 774596117200813785330967943971318531064319528206, 1180931223598367578444978690220295148800, 19679114160, 42378967770422286201683651471573726605724793613, 348713164800, 20425781607291124255753750220488400418483714503, 7185074400, 62762714095992133411200866892008914944000000064, 128424084332544000, 774596117200813785330967943971298591639847476366, 79855162554075086032560, 26584438305803288666811636621065730480, 647475894284496076800000, 774596117200813785330967943971311417315757689570, 9209579292679325310996990141924304573, 480445590912251800777331973907405017292279187760, 408960], 'label': '51200000000.gt.8._.DN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.DN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.DN', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117340
{'ambient': '51200000000.gt', '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': 2, 'diagramx': None, 'generators': [9157942499263344915612530054400, 96, 26584437368957304324849359353518240023, 17374858686457931598408441266086886400, 28100031020285230022464, 774596117200813785330967943971318531064319528206, 1180931223598367578444978690220295148800, 19679114160, 42378967770422286201683651471573726605724793613, 348713164800, 20425781607291124255753750220488400418483714503, 7185074400, 62762714095992133411200866892008914944000000064, 128424084332544000, 774596117200813785330967943971298591639847476366, 79855162554075086032560, 26584438305803288666811636621065730480, 7113748562001360, 647475894284496076800000, 9209579292679325310996990141924304573, 480445590912251800777331973907405017292279187760, 408960], 'label': '51200000000.gt.8._.DO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.DO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.DO', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117341
{'ambient': '51200000000.gt', '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': 2, 'diagramx': None, 'generators': [9157942499263344915612530054400, 96, 19939425948731543, 26584437368957304324849359353518240023, 17374858686457931598408441266086886400, 28100031020285230022464, 19679114160, 1180931223598367578444978690220295148800, 42378967770422286201683651471573726605724793613, 348713164800, 20425781607291124255753750220488400418483714503, 480445590912251792534457799940718143512542611760, 7113748561970423, 62762714095992133411200866892008914944000000064, 128424084332544000, 774596117200813785330967943971318531064319559170, 79855162554075086032560, 26584438305803288666811636621065730480, 647475894284496076800000, 9209579292679325310996990141924304573, 7185105383, 408960], 'label': '51200000000.gt.8._.DP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.DP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.DP', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117342
{'ambient': '51200000000.gt', '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': [20425781607291124255753670365345785762160668743, 82637946751355846939948523742243424762463340890, 408960, 128424178257590913, 7113748562408880, 608358522430650456800855489249280000033, 936846115952229311596851692189, 9157942499262960772841472000096, 9209579292679325310996990048080950429, 79855162553888794326993, 647475766948584588510720, 7185074400, 19939418764438320, 774596117487626362548314482200449263442505959010, 42378967778587564985282352484668610631702216890, 9209579902859334095556685388165334989, 26584437368957224469726684209804030919, 62762714095992133411200866892008914944000000000, 19679114160, 251219854132988798975110827188214834765376238856, 64, 28100031020285230022464, 93924639424], 'label': '51200000000.gt.4._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.G', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117343
{'ambient': '51200000000.gt', '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': 2, 'diagramx': None, 'generators': [7185105383, 20425781607291124255753670365345785762160668743, 187770078720, 647475510142073733120000, 408960, 384142771057661280, 7113748562408880, 936846115952229311596851692189, 186817333537895255701429216272434243199600859320, 9209579292679325310996990048080950429, 79855162553888794326993, 816513, 19939418764438320, 9209579902859334095556685375232241389, 42378967778587564985282352484668610631702216890, 754707493983991691139308440090643600577635443113, 26584437368957224469726684209804030919, 9157942499263344915544033067553, 19679114160, 28100031020285230022464, 62762714095992133411203348686102428303393977696, 608358494990699441747094624795772473696], 'label': '51200000000.gt.8._.DQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.DQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.DQ', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117344
{'ambient': '51200000000.gt', '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': 2, 'diagramx': None, 'generators': [20425781607291124255753670365345785762160668743, 187770078720, 647475510142073733120000, 408960, 384142771057661280, 7113748562408880, 936846115952229311596851692189, 186817333537895255701429216272434243199600859320, 9209579292679325310996990048080950429, 79855162553888794326993, 816513, 19939418764438320, 9209579902859334095556685375232241389, 42378967778587564985282352484668610631702216890, 754707493983991691139308440090643600577635443113, 131783, 26584437368957224469726684209804030919, 9157942499263344915544033067553, 19679114160, 28100031020285230022464, 62762714095992133411203348686102428303393977696, 608358494990699441747094624795772473696], 'label': '51200000000.gt.8._.DR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.DR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.DR', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117345
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id: 222117346
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id: 222117347
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id: 222117348
{'ambient': '51200000000.gt', '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': 2, 'diagramx': None, 'generators': [9157942499263344915612530054400, 96, 19939425948731543, 26584437368957304324849359353518240023, 17374858686457931598408441266086886400, 28100031020285230022464, 1180931223598367578444978690220295148800, 19679114160, 42378967770422286201683651471573726605724793613, 348713164800, 20425781607291124255753750220488400418483714503, 7185074400, 420297990190405276939795813780499152296606513210, 62762714095992133411200866892008914944000000064, 128424084332544000, 131783, 79855162554075086032560, 26584438305803288666811636621065730480, 7113748562001360, 647475894284496076800000, 9209579292679325310996990141924304573, 408960], 'label': '51200000000.gt.8._.DV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.DV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.DV', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117612
{'ambient': '51200000000.gt', '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': [774596117487626362548312568027209858002749303646, 384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764080503, 26584437368957304324849359192574912029, 51755131533883781284650, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209964160, 9157942499263344915263815680090, 17374858076278030769009554417497596955, 19679114160, 42378967770422286201683623371542706576761836909, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.64._.BC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.BC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.BC', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117349
{'ambient': '51200000000.gt', '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': 2, 'diagramx': None, 'generators': [62762714095992133411203348686102428303393977696, 28100031020285230022464, 608358494990699441747094624795772473696, 7113748562408880, 19679114160, 936846115952229311596851692189, 187770078720, 9209579292679325310996990048080950429, 20425781607291124255753670365345785762160668743, 754707493983991691139308440090643600490976791033, 186817333537895255701429216272434243199600859320, 9157942499263344915544033067553, 9209579902859334095556685375232241389, 42378967778587564985282352484668610631702216890, 384142771057661280, 26584437368957224469726684209804030919, 647475510142073733120000, 79855162553888794326993, 19939418764438320, 7185105383, 816513, 408960], 'label': '51200000000.gt.8._.DW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.DW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.DW', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117350
{'ambient': '51200000000.gt', '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': 2, 'diagramx': None, 'generators': [62762714095992133411203348686102428303393977696, 28100031020285230022464, 608358494990699441747094624795772473696, 7113748562408880, 19679114160, 936846115952229311596851692189, 187770078720, 9209579292679325310996990048080950429, 20425781607291124255753670365345785762160668743, 754707493983991691139308440090643600490976791033, 186817333537895255701429216272434243199600859320, 9157942499263344915544033067553, 9209579902859334095556685375232241389, 131783, 42378967778587564985282352484668610631702216890, 384142771057661280, 26584437368957224469726684209804030919, 647475510142073733120000, 79855162553888794326993, 19939418764438320, 816513, 408960], 'label': '51200000000.gt.8._.DX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.DX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.DX', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117351
{'ambient': '51200000000.gt', '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': 2, 'diagramx': None, 'generators': [42378967778587564985282352484675724380263813610, 62762714095992133411203348686102428303393977696, 28100031020285230022464, 608358494990699441747094624795772473696, 19679114160, 187770078720, 9209579292679325310996990048080950429, 7185074400, 42378967778587564701768483412683042895134851810, 20425781607291124255753670365345785762160668743, 271603972461095007157423357143249353381659641524, 9157942499263344915544033067553, 131783, 814868859623283376743310930168996030838515095075, 384142771057661280, 26584437368957224469726684209804030919, 647475510142073733120000, 79855162553888794326993, 19939418764438320, 42378967761212707235670461428265948975186329010, 816513, 408960], 'label': '51200000000.gt.8._.DY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.DY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.DY', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117352
{'ambient': '51200000000.gt', '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': 2, 'diagramx': None, 'generators': [20425781607291124255753670365345785762160668743, 187770078720, 647475510142073733120000, 42378967778587564985282352484675724380263813610, 408960, 384142771057661280, 42378967761212707235670461428265948975186329010, 9209579292679325310996990048080950429, 79855162553888794326993, 816513, 7185074400, 19939418764438320, 42378967778587564985282352484668610631702252173, 774596117487626362548314482200449263442505959010, 26584437368957224469726684209804030919, 9157942499263344915544033067553, 19679114160, 231331231497949001402926960490745499582152671944, 42378967778587564701768483412683042895134851810, 28100031020285230022464, 62762714095992133411203348686102428303393977696, 608358494990699441747094624795772473696], 'label': '51200000000.gt.8._.DZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.DZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.DZ', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117353
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id: 222117354
{'ambient': '51200000000.gt', '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': 2, 'diagramx': None, 'generators': [9157942499263344915612530054400, 96, 19939425948731543, 26584437368957304324849359353518240023, 17374858686457931598408441266086886400, 28100031020285230022464, 1180931223598367578444978690220295148800, 19679114160, 42378967770422286201683651471573726605724793613, 348713164800, 20425781607291124255753750220488400418483714503, 7185074400, 62762714095992133411200866892008914944000000064, 128424084332544000, 774596117200813785330967943971318531064319559170, 131783, 79855162554075086032560, 26584438305803288666811636621065730480, 647475894284496076800000, 9209579292679325310996990141924304573, 480445590912251800777331973907405017292279187760, 408960], 'label': '51200000000.gt.8._.EA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.EA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.EA', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117355
{'ambient': '51200000000.gt', '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': 2, 'diagramx': None, 'generators': [42378967778587564985282352484675724380263813610, 62762714095992133411203348686102428303393977696, 28100031020285230022464, 608358494990699441747094624795772473696, 19679114160, 187770078720, 9209579292679325310996990048080950429, 7185074400, 42378967778587564701768483412683042895134851810, 20425781607291124255753670365345785762160668743, 774596117487626362548314482200449263442505959010, 9157942499263344915544033067553, 131783, 384142771057661280, 26584437368957224469726684209804030919, 231331231497949001402926960490745499582152671944, 647475510142073733120000, 79855162553888794326993, 19939418764438320, 42378967761212707235670461428265948975186329010, 816513, 408960], 'label': '51200000000.gt.8._.EB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.EB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.EB', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117356
{'ambient': '51200000000.gt', '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': 2, 'diagramx': None, 'generators': [62762714095992133411203348686102428303393977696, 28100031020285230022464, 608358494990699441747094624795772473696, 7113748562408880, 19679114160, 936846115952229311596851692189, 187770078720, 9209579292679325310996990048080950429, 7185074400, 20425781607291124255753670365345785762160668743, 754707493983991691139308440090643600490976791033, 186817333537895255701429216272434243199600859320, 9157942499263344915544033067553, 42378967778587564985282352484668610631702216890, 384142771057661280, 26584437368957224469726684209804030919, 647475510142073733120000, 79855162553888794326993, 19939418764438320, 816513, 9209579902859334095556685388165334989, 408960], 'label': '51200000000.gt.8._.EC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.EC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.EC', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117357
{'ambient': '51200000000.gt', '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': 2, 'diagramx': None, 'generators': [19679114160, 348714374400, 1209600, 7113768241996800, 911748349975250563823017345092157440000, 51755137245711497898784, 26584437368957304324849359192573702486, 231331231497949001402926960490745499582152671944, 753661821923316483196925472704182457332083555064, 82637945562259345178643966475683023606127626243, 20425781580706686886796525750781655278730549776, 19939418764438320, 128424084332953050, 20935040445082060716664072943032703385601451616, 1180931196158416563390858580996424889696, 9209579619345436923558635400329606496, 409050, 480445590912251800777331973907405017292279187760, 26584438305803288666811636272352565744, 304187497773955561325879334828934329696, 79855162553820297733233, 9209579292679353411002358736641692989], 'label': '51200000000.gt.8._.ED', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.ED', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.ED', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117358
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id: 222117359
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id: 222117360
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id: 222117645
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 26584437368957304324849359192574912029, 51755131533883781284650, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209964160, 9157942499263344915263815680090, 17374858076278030769009554417497596955, 131783, 19679114160, 42378967770422286201683623371542706576761836909, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.128._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.C', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117361
{'ambient': '51200000000.gt', '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': 2, 'diagramx': None, 'generators': [26584437368957304324849359261071747709, 17374858076278030769003842515536353306, 42378967778587564985282300729564129747596030906, 1294848966823888379904000, 1451520, 19679114160, 348714374400, 608358522430650456800855489249280000000, 648477310393751851715002356188575941454258807589, 326666135267687810523080648916, 480445590912251800777331973907405017310441366320, 19939418764030800, 256806671799928320, 81591529505720987908056753429264504767006507584, 26584438305803288666811636621065730480, 7113768240952800, 753661821923316483196925472704182457332083555064, 911748349975248082029410412483114616320, 28100025308363590234833, 20425781580706686886796525750781655278730549770, 79855162553888794568880, 408993], 'label': '51200000000.gt.8._.EH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.EH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.EH', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117362
{'ambient': '51200000000.gt', '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': 2, 'diagramx': None, 'generators': [486580401635328096, 9209579292679325310977050374449195533, 936846064197104891481311114246, 17374858686458011453551055654647386880, 51755137245786700136970, 911748349975248729504920554208133120096, 7113768241345920, 20935040445082060716664072943032703385600000096, 42378967770422286201683651471573726674222430003, 19679749200, 79855142614401534111456, 1180931196158416563390474438574080000000, 231331231497949001402926960490745499582152540175, 1180931205316361001554690627976569036224, 26584437368957304324849359353519449655, 753661821923316483196925472704182457332083555064, 93925681953, 19939418764438320, 1451610, 480445590912251800777331973907405017292279187760, 408960, 20425781580706686886796525750781655439673877744], 'label': '51200000000.gt.8._.EI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.EI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.EI', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117363
{'ambient': '51200000000.gt', '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': 2, 'diagramx': None, 'generators': [936846064197104891481311114246, 480445590912251800777331973907405017292279142423, 1180931196158416563390474438574080000000, 408960, 1180931205316361001554690627976569036224, 9209579292679325310977050374449195533, 19679749200, 51755137245786700136970, 26584437368957304324849359353519449655, 19939418764438320, 648477310393751851715002356188575941454258807589, 1451610, 17374858686458011453551055654647386880, 486580401635328096, 7113768241345920, 79855142614401534111456, 20935040445082060716664072943032703385600000096, 911748349975248729504920554208133120096, 753661821923316483196925472704182457332083555064, 42378967770422286201683651471573726674222430003, 93925681953, 20425781580706686886796525750781655439673877744], 'label': '51200000000.gt.8._.EJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.EJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.EJ', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117364
{'ambient': '51200000000.gt', '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': [20425781607291124255753670365345785762160668743, 82637946751355846939948523742243424762463340890, 408960, 128424178257590913, 7113748562408880, 608358522430650456800855489249280000033, 936846115952229311596851692189, 9157942499262960772841472000096, 9209579292679325310996990048080950429, 79855162553888794326993, 647475766948584588510720, 7185074400, 19939418764438320, 774596117487626362548314482200449263442505959010, 42378967778587564985282352484668610631702216890, 131783, 9209579902859334095556685388165334989, 26584437368957224469726684209804030919, 62762714095992133411200866892008914944000000000, 19679114160, 64, 28100031020285230022464, 93924639424], 'label': '51200000000.gt.4._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.I', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117365
{'ambient': '51200000000.gt', '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': 2, 'diagramx': None, 'generators': [936846064197104891736100683629, 480445590912251800777331973907405017292279142423, 7113748562650800, 608358513305779796252018375488349406720, 19679356080, 1180931196158417858239312838378127360033, 62762714095992133411200866892008915292713164833, 9209579902859305995531377094030981623, 26584437368957304324849359541286867255, 1180931196158416563390474438574080000000, 20425781607291124255753750220488400069769340135, 17374858076277979013872308980468793675, 19939418763637680, 231331231497949001402926960490745499563990477535, 93925440090, 753661821923316483196925472704182457332083555064, 79855162554169011714576, 51755131533952278920944, 42378967770422286201683651471568014590240367363, 1451610, 486580401635328033, 408960], 'label': '51200000000.gt.8._.EK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.EK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.EK', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117366
{'ambient': '51200000000.gt', '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': 2, 'diagramx': None, 'generators': [486580401636779520, 936846064197124831248788227766, 79855162553888794326960, 93925046880, 608358504148644422803559892615709872480, 816480, 774596117487626362548314482200449263442505959010, 911748349975248082029667218457485312090, 62762714704350628401900956114383907454738840960, 19939438443456064, 19939418763395760, 28100031020471600517600, 231331231497949001402926960490745499582152671944, 17374858402944062526429987377234328989, 544311317165518819855853074144363305461320961235, 19939418763264023, 82637945579634203538435814561533785964313057200, 20425781580706686886796525750761716020911056480, 64, 26584437368957224469726684209804030855, 9209579292679301655890764553315210243, 1938901512222696333312000], 'label': '51200000000.gt.8._.EL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.EL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.EL', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117367
{'ambient': '51200000000.gt', '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': 2, 'diagramx': None, 'generators': [486580401636779520, 936846064197124831248788227766, 79855162553888794326960, 231331231497949001402926960490764330093051790584, 93925046880, 608358504148644422803559892615709872480, 816480, 774596117487626362548314482200449263442505959010, 911748349975248082029667218457485312090, 62762714704350628401900956114383907454738840960, 19939438443456064, 19939418763395760, 28100031020471600517600, 17374858402944062526429987377234328989, 544311317165518819855853074144363305461320961235, 19939418763264023, 82637945579634203538435814561533785964313057200, 20425781580706686886796525750761716020911056480, 64, 26584437368957224469726684209804030855, 9209579292679301655890764553315210243, 1938901512222696333312000], 'label': '51200000000.gt.8._.EM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.EM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.EM', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117368
{'ambient': '51200000000.gt', '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': 2, 'diagramx': None, 'generators': [486580401636779520, 936846064197124831248788227766, 79855162553888794326960, 93925046880, 608358504148644422803559892615709872480, 816480, 911748349975248082029667218457485312090, 62762714704350628401900956114383907454738840960, 774596117487626362548314482200442149693943959090, 19939438443456064, 19939418763395760, 28100031020471600517600, 231331231497949001402926960490745499582152671944, 17374858402944062526429987377234328989, 544311317165518819855853074144363305461320961235, 19939418763264023, 82637945579634203538435814561533785964313057200, 20425781580706686886796525750761716020911056480, 64, 26584437368957224469726684209804030855, 9209579292679301655890764553315210243, 1938901512222696333312000], 'label': '51200000000.gt.8._.EN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.EN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.EN', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117369
{'ambient': '51200000000.gt', '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': 2, 'diagramx': None, 'generators': [486580401636779520, 936846064197124831248788227766, 79855162553888794326960, 146544591090428189972693871140567453501412150450, 93925046880, 608358504148644422803559892615709872480, 816480, 911748349975248082029667218457485312090, 62762714704350628401900956114383907454738840960, 19939438443456064, 19939418763395760, 28100031020471600517600, 7113748562001360, 17374858402944062526429987377234328989, 544311317165518819855853074144363305461320961235, 19939418763264023, 82637945579634203538435814561533785964313057200, 20425781580706686886796525750761716020911056480, 64, 26584437368957224469726684209804030855, 9209579292679301655890764553315210243, 1938901512222696333312000], 'label': '51200000000.gt.8._.EO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.EO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.EO', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117370
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id: 222117371
{'ambient': '51200000000.gt', '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': 2, 'diagramx': None, 'generators': [486580401636779520, 936846064197124831248788227766, 79855162553888794326960, 93925046880, 608358504148644422803559892615709872480, 816480, 911748349975248082029667218457485312090, 62762714704350628401900956114383907454738840960, 774596117487626362548314482200442149693943959090, 19939438443456064, 19939418763395760, 28100031020471600517600, 231331231497949001402926960490745499582152671944, 17374858402944062526429987377234328989, 19939418763264023, 710193606653923095045140472077595472079620246333, 82637945579634203538435814561533785964313057200, 20425781580706686886796525750761716020911056480, 64, 26584437368957224469726684209804030855, 9209579292679301655890764553315210243, 1938901512222696333312000], 'label': '51200000000.gt.8._.EQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.EQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.EQ', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117372
{'ambient': '51200000000.gt', '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': 2, 'diagramx': None, 'generators': [79855162553820298549680, 19679114160, 1938901255416373248816480, 41869337511869036621592651633777149563434374433, 20425781607291123318907606168240894226283062880, 26584438305803368521974190053291193600, 26584437368957224469726684209804438349, 26584437695623359737401669323220243244, 816544, 774596117487626362548314482200449263442505959010, 304187470334003898796121747619840408960, 280215936000, 131783, 1180931205316359710128945353489286329633, 17374858076277950913861228114002650869, 33, 19939418763395760, 42378967770422286201683651471573726674220978444, 231331231497949001402926960490764330074889727935, 544311317165518819855853074144363305461320961235, 384142422343680064, 51755131533697410394833], 'label': '51200000000.gt.8._.ER', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.ER', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.ER', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117373
{'ambient': '51200000000.gt', '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': 2, 'diagramx': None, 'generators': [79855162553820298549680, 19679114160, 1938901255416373248816480, 41869337511869036621592651633777149563434374433, 20425781607291123318907606168240894226283062880, 26584438305803368521974190053291193600, 26584437368957224469726684209804438349, 26584437695623359737401669323220243244, 816544, 774596117487626362548314482200449263442505959010, 304187470334003898796121747619840408960, 280215936000, 131783, 1180931205316359710128945353489286329633, 17374858076277950913861228114002650869, 33, 19939418763395760, 42378967770422286201683651471573726674220978444, 231331231497949001402926960490745499582152671944, 544311317165518819855853074144376131120066183643, 384142422343680064, 51755131533697410394833], 'label': '51200000000.gt.8._.ES', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.ES', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.ES', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117374
{'ambient': '51200000000.gt', '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': 2, 'diagramx': None, 'generators': [79855162553820298549680, 375233552466460415623481277016815029839679713233, 19679114160, 1938901255416373248816480, 41869337511869036621592651633777149563434374433, 20425781607291123318907606168240894226283062880, 26584438305803368521974190053291193600, 26584437368957224469726684209804438349, 26584437695623359737401669323220243244, 816544, 774596117487626362548314482200449263442505959010, 304187470334003898796121747619840408960, 280215936000, 131783, 1180931205316359710128945353489286329633, 17374858076277950913861228114002650869, 33, 19939418763395760, 42378967770422286201683651471573726674220978444, 544311317165518819855853074144376131120066183643, 384142422343680064, 51755131533697410394833], 'label': '51200000000.gt.8._.ET', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.ET', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.ET', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117375
{'ambient': '51200000000.gt', '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': [20425781607291124255753670365345785762160668743, 82637946751355846939948523742243424762463340890, 408960, 128424178257590913, 7113748562408880, 608358522430650456800855489249280000033, 936846115952229311596851692189, 251219854132988798975110827188214834765376207919, 9157942499262960772841472000096, 9209579292679325310996990048080950429, 79855162553888794326993, 647475766948584588510720, 7185074400, 19939418764438320, 774596117487626362548314482200449263442505959010, 42378967778587564985282352484668610631702216890, 9209579902859334095556685388165334989, 26584437368957224469726684209804030919, 62762714095992133411200866892008914944000000000, 19679114160, 64, 28100031020285230022464, 93924639424], 'label': '51200000000.gt.4._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.J', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117376
{'ambient': '51200000000.gt', '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': 2, 'diagramx': None, 'generators': [79855162553820298549680, 19679114160, 1938901255416373248816480, 41869337511869036621592651633777149563434374433, 20425781607291123318907606168240894226283062880, 26584438305803368521974190053291193600, 26584437368957224469726684209804438349, 26584437695623359737401669323220243244, 816544, 774596117487626362548314482200442149688156103006, 304187470334003898796121747619840408960, 280215936000, 131783, 1180931205316359710128945353489286329633, 17374858076277950913861228114002650869, 33, 19939418763395760, 42378967770422286201683651471573726674220978444, 231331231497949001402926960490745499582152671944, 544311317165518819855853074144363305461320961235, 384142422343680064, 51755131533697410394833], 'label': '51200000000.gt.8._.EU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.EU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.EU', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117377
{'ambient': '51200000000.gt', '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': 2, 'diagramx': None, 'generators': [146544591090428189972693871140567453501412150450, 79855162553820298549680, 19679114160, 1938901255416373248816480, 41869337511869036621592651633777149563434374433, 20425781607291123318907606168240894226283062880, 26584438305803368521974190053291193600, 26584437368957224469726684209804438349, 26584437695623359737401669323220243244, 816544, 304187470334003898796121747619840408960, 7113761055878423, 280215936000, 131783, 1180931205316359710128945353489286329633, 17374858076277950913861228114002650869, 33, 19939418763395760, 42378967770422286201683651471573726674220978444, 544311317165518819855853074144363305461320961235, 384142422343680064, 51755131533697410394833], 'label': '51200000000.gt.8._.EV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.EV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.EV', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117378
{'ambient': '51200000000.gt', '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': 2, 'diagramx': None, 'generators': [146544591090428189972693871140567453501412150450, 79855162553820298549680, 19679114160, 1938901255416373248816480, 41869337511869036621592651633777149563434374433, 20425781607291123318907606168240894226283062880, 26584438305803368521974190053291193600, 26584437368957224469726684209804438349, 26584437695623359737401669323220243244, 816544, 774596117487626362548314482200442149688156103006, 304187470334003898796121747619840408960, 280215936000, 131783, 1180931205316359710128945353489286329633, 17374858076277950913861228114002650869, 33, 19939418763395760, 42378967770422286201683651471573726674220978444, 544311317165518819855853074144363305461320961235, 384142422343680064, 51755131533697410394833], 'label': '51200000000.gt.8._.EW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.EW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.EW', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117379
{'ambient': '51200000000.gt', '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': 2, 'diagramx': None, 'generators': [79855162553820298549680, 19679114160, 41869337511869036621592651633777149563434374433, 1938901255416373248816480, 20425781607291123318907606168240894226283062880, 26584438305803368521974190053291193600, 26584437368957224469726684209804438349, 26584437695623359737401669323220243244, 816544, 304187470334003898796121747619840408960, 7113761055878423, 280215936000, 131783, 1180931205316359710128945353489286329633, 17374858076277950913861228114002650869, 33, 19939418763395760, 42378967770422286201683651471573726674220978444, 231331231497949001402926960490745499582152671944, 710193606653923095045140472077595472079620246333, 384142422343680064, 51755131533697410394833], 'label': '51200000000.gt.8._.EX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.EX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.EX', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117380
{'ambient': '51200000000.gt', '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': 2, 'diagramx': None, 'generators': [79855162553820298549680, 19679114160, 41869337511869036621592651633777149563434374433, 1938901255416373248816480, 20425781607291123318907606168240894226283062880, 26584438305803368521974190053291193600, 26584437368957224469726684209804438349, 26584437695623359737401669323220243244, 816544, 774596117487626362548314482200442149688156103006, 304187470334003898796121747619840408960, 280215936000, 131783, 1180931205316359710128945353489286329633, 17374858076277950913861228114002650869, 33, 19939418763395760, 42378967770422286201683651471573726674220978444, 231331231497949001402926960490745499582152671944, 710193606653923095045140472077595472079620246333, 384142422343680064, 51755131533697410394833], 'label': '51200000000.gt.8._.EY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.EY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.EY', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117381
{'ambient': '51200000000.gt', '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': 2, 'diagramx': None, 'generators': [146544591090428189972693871140567453501412150450, 79855162553820298549680, 19679114160, 41869337511869036621592651633777149563434374433, 1938901255416373248816480, 20425781607291123318907606168240894226283062880, 26584438305803368521974190053291193600, 26584437368957224469726684209804438349, 26584437695623359737401669323220243244, 816544, 304187470334003898796121747619840408960, 7113761055878423, 280215936000, 131783, 1180931205316359710128945353489286329633, 17374858076277950913861228114002650869, 33, 19939418763395760, 42378967770422286201683651471573726674220978444, 710193606653923095045140472077595472079620246333, 384142422343680064, 51755131533697410394833], 'label': '51200000000.gt.8._.EZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.EZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.EZ', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117382
{'ambient': '51200000000.gt', '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': 2, 'diagramx': None, 'generators': [146544591090428189972693871140567453501412150450, 79855162553820298549680, 19679114160, 41869337511869036621592651633777149563434374433, 1938901255416373248816480, 20425781607291123318907606168240894226283062880, 26584438305803368521974190053291193600, 26584437368957224469726684209804438349, 26584437695623359737401669323220243244, 816544, 774596117487626362548314482200442149688156103006, 304187470334003898796121747619840408960, 280215936000, 131783, 1180931205316359710128945353489286329633, 17374858076277950913861228114002650869, 33, 19939418763395760, 42378967770422286201683651471573726674220978444, 710193606653923095045140472077595472079620246333, 384142422343680064, 51755131533697410394833], 'label': '51200000000.gt.8._.FA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.FA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.FA', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117383
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id: 222117384
{'ambient': '51200000000.gt', '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': 2, 'diagramx': None, 'generators': [936846144052247505843488303303, 19679114160, 1209600, 51755137245711496447264, 774596117487626362548314482200449263442505959010, 911748359133193063085978117933630256480, 9209579619345408823540441140720000000, 20425781580706685949950381698514210016480156743, 26584437368957224469726684303728668806, 131783, 33, 82637945562259345178644018230800329804936840333, 79855162553888795369610, 304187470334006380590112823348655101313, 544311317165518819855853074144363305461320961235, 231331231497949001402926960490745499563990477535, 608358494990699441746608044301689036250, 384142422343680064, 41869336903510541630893209887169105449513573856, 17374858076277979013892248493155845236, 19939698980783370, 187769036160], 'label': '51200000000.gt.8._.FC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.FC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.FC', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117935
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id: 222117385
{'ambient': '51200000000.gt', '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': 2, 'diagramx': None, 'generators': [936846144052247505843488303303, 19679114160, 1209600, 544311317165518819855853074144363305449864789243, 51755137245711496447264, 774596117487626362548314482200449263442505959010, 911748359133193063085978117933630256480, 9209579619345408823540441140720000000, 20425781580706685949950381698514210016480156743, 26584437368957224469726684303728668806, 131783, 33, 82637945562259345178644018230800329804936840333, 79855162553888795369610, 231331231497949001402926960490745499582152671944, 304187470334006380590112823348655101313, 608358494990699441746608044301689036250, 384142422343680064, 41869336903510541630893209887169105449513573856, 17374858076277979013892248493155845236, 19939698980783370, 187769036160], 'label': '51200000000.gt.8._.FD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.FD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.FD', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117386
{'ambient': '51200000000.gt', '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': [20425781607291124255753670365345785762160668743, 408960, 128424178257590913, 7113748562408880, 608358522430650456800855489249280000033, 936846115952229311596851692189, 9157942499262960772841472000096, 9209579292679325310996990048080950429, 79855162553888794326993, 647475766948584588510720, 7185074400, 19939418764438320, 774596117487626362548314482200449263442505959010, 42378967778587564985282352484668610631702216890, 131783, 9209579902859334095556685388165334989, 26584437368957224469726684209804030919, 62762714095992133411200866892008914944000000000, 19679114160, 231331231497949001402926960490745499582152671944, 64, 28100031020285230022464, 93924639424], 'label': '51200000000.gt.4._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.K', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117387
{'ambient': '51200000000.gt', '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': 2, 'diagramx': None, 'generators': [774596117487626362548314482200449263436717988446, 936846144052247505843488303303, 19679114160, 1209600, 51755137245711496447264, 911748359133193063085978117933630256480, 9209579619345408823540441140720000000, 20425781580706685949950381698514210016480156743, 26584437368957224469726684303728668806, 131783, 33, 82637945562259345178644018230800329804936840333, 79855162553888795369610, 231331231497949001402926960490745499582152671944, 304187470334006380590112823348655101313, 544311317165518819855853074144363305461320961235, 608358494990699441746608044301689036250, 384142422343680064, 41869336903510541630893209887169105449513573856, 17374858076277979013892248493155845236, 19939698980783370, 187769036160], 'label': '51200000000.gt.8._.FE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.FE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.FE', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117388
{'ambient': '51200000000.gt', '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': 2, 'diagramx': None, 'generators': [146544591090428189972693871140567453501412150450, 936846144052247505843488303303, 12494008823, 19679114160, 1209600, 51755137245711496447264, 911748359133193063085978117933630256480, 9209579619345408823540441140720000000, 20425781580706685949950381698514210016480156743, 26584437368957224469726684303728668806, 131783, 33, 82637945562259345178644018230800329804936840333, 79855162553888795369610, 304187470334006380590112823348655101313, 544311317165518819855853074144363305461320961235, 608358494990699441746608044301689036250, 384142422343680064, 41869336903510541630893209887169105449513573856, 17374858076277979013892248493155845236, 19939698980783370, 187769036160], 'label': '51200000000.gt.8._.FF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.FF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.FF', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117389
{'ambient': '51200000000.gt', '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': 2, 'diagramx': None, 'generators': [146544591090428189972693871140567453501412150450, 774596117487626362548314482200449263436717988446, 936846144052247505843488303303, 19679114160, 1209600, 51755137245711496447264, 911748359133193063085978117933630256480, 9209579619345408823540441140720000000, 20425781580706685949950381698514210016480156743, 26584437368957224469726684303728668806, 131783, 33, 82637945562259345178644018230800329804936840333, 79855162553888795369610, 304187470334006380590112823348655101313, 544311317165518819855853074144363305461320961235, 608358494990699441746608044301689036250, 384142422343680064, 41869336903510541630893209887169105449513573856, 17374858076277979013892248493155845236, 19939698980783370, 187769036160], 'label': '51200000000.gt.8._.FG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.FG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.FG', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117390
{'ambient': '51200000000.gt', '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': 2, 'diagramx': None, 'generators': [936846144052247505843488303303, 12494008823, 19679114160, 1209600, 51755137245711496447264, 911748359133193063085978117933630256480, 9209579619345408823540441140720000000, 20425781580706685949950381698514210016480156743, 26584437368957224469726684303728668806, 131783, 33, 82637945562259345178644018230800329804936840333, 79855162553888795369610, 231331231497949001402926960490745499582152671944, 304187470334006380590112823348655101313, 608358494990699441746608044301689036250, 710193606653923095045140472077595472079620246333, 384142422343680064, 41869336903510541630893209887169105449513573856, 17374858076277979013892248493155845236, 19939698980783370, 187769036160], 'label': '51200000000.gt.8._.FH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.FH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.FH', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117391
{'ambient': '51200000000.gt', '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': 2, 'diagramx': None, 'generators': [774596117487626362548314482200449263436717988446, 936846144052247505843488303303, 19679114160, 1209600, 51755137245711496447264, 911748359133193063085978117933630256480, 9209579619345408823540441140720000000, 20425781580706685949950381698514210016480156743, 26584437368957224469726684303728668806, 131783, 33, 82637945562259345178644018230800329804936840333, 79855162553888795369610, 231331231497949001402926960490745499582152671944, 304187470334006380590112823348655101313, 608358494990699441746608044301689036250, 710193606653923095045140472077595472079620246333, 384142422343680064, 41869336903510541630893209887169105449513573856, 17374858076277979013892248493155845236, 19939698980783370, 187769036160], 'label': '51200000000.gt.8._.FI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.FI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.FI', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117392
{'ambient': '51200000000.gt', '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': 2, 'diagramx': None, 'generators': [146544591090428189972693871140567453501412150450, 936846144052247505843488303303, 12494008823, 19679114160, 1209600, 51755137245711496447264, 911748359133193063085978117933630256480, 9209579619345408823540441140720000000, 20425781580706685949950381698514210016480156743, 26584437368957224469726684303728668806, 131783, 33, 82637945562259345178644018230800329804936840333, 79855162553888795369610, 304187470334006380590112823348655101313, 608358494990699441746608044301689036250, 710193606653923095045140472077595472079620246333, 384142422343680064, 41869336903510541630893209887169105449513573856, 17374858076277979013892248493155845236, 19939698980783370, 187769036160], 'label': '51200000000.gt.8._.FJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.FJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.FJ', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117393
{'ambient': '51200000000.gt', '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': 2, 'diagramx': None, 'generators': [146544591090428189972693871140567453501412150450, 774596117487626362548314482200449263436717988446, 936846144052247505843488303303, 19679114160, 1209600, 51755137245711496447264, 911748359133193063085978117933630256480, 9209579619345408823540441140720000000, 20425781580706685949950381698514210016480156743, 26584437368957224469726684303728668806, 131783, 33, 82637945562259345178644018230800329804936840333, 79855162553888795369610, 304187470334006380590112823348655101313, 608358494990699441746608044301689036250, 710193606653923095045140472077595472079620246333, 384142422343680064, 41869336903510541630893209887169105449513573856, 17374858076277979013892248493155845236, 19939698980783370, 187769036160], 'label': '51200000000.gt.8._.FK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.FK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.FK', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117394
{'ambient': '51200000000.gt', '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': 2, 'diagramx': None, 'generators': [936846144052247505843488303303, 12494008823, 19679114160, 1209600, 51755137245711496447264, 911748359133193063085978117933630256480, 9209579619345408823540441140720000000, 20425781580706685949950381698514210016480156743, 26584437368957224469726684303728668806, 131783, 82637945562259345178644018230800329804936840333, 33, 79855162553888795369610, 231331231497949001402926960490745499582152671944, 304187470334006380590112823348655101313, 544311317165518819855853074144363305461320961235, 608358494990699441746608044301689036250, 384142422343680064, 41869336903510541630893209887169105449513573856, 17374858076277979013892248493155845236, 19939698980783370, 187769036160], 'label': '51200000000.gt.8._.FL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.FL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.FL', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117395
{'ambient': '51200000000.gt', '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': 2, 'diagramx': None, 'generators': [486580401636779520, 936846144052247505843487093709, 79855162553888794326960, 647475510142073733936513, 26584437979137256909385491459471374826, 816480, 27439953496848340958494753977664, 774596117487626362548314482200442149693943959090, 19680156810, 20425781580706686886796525750761716208680318753, 19939418763395760, 28100031020471600517600, 62762714095992168778250780752200573576044952960, 42378967770422285918169754299569964783466165690, 544311317165518819855853074144363305461320961235, 90, 231331231497949001402926960490745499563990477535, 19939418763264023, 26584437368957224469726684303728668839, 17374858076277950913866940129565624836, 280217145690, 1180931196158416563390961018975716144576], 'label': '51200000000.gt.8._.FM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.FM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.FM', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117396
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id: 222117613
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764080503, 26584437368957304324849359192574912029, 51755131533883781284650, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209964160, 9157942499263344915263815680090, 17374858076278030769009554417497596955, 19679114160, 42378967770422286201683623371542706576761836909, 280216752570, 774596117487626362548314482200449263436717988446, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.64._.BD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.BD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.BD', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117397
{'ambient': '51200000000.gt', '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': [384142702560432544, 251219854132988798975110827188214834765376238856, 12494008823, 19679114160, 1209600, 9157942499263344915263815680090, 51755131533883781284650, 280216752570, 774596117487626362548314482200449263442505959010, 131783, 42378967770422286201683623371542706576761836909, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464, 19939418764030800, 33, 26584437368957304324869298611337098189, 17374858076278030769003842495857734475, 7113748562001360, 79855162554169010263056, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209964160, 480445590912251800777331973907405017292279187760, 26584438305803368521974190053290800480], 'label': '51200000000.gt.2._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2._.A', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117398
{'ambient': '51200000000.gt', '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': [20425781607291124255753670365345785762160668743, 408960, 128424178257590913, 7113748562408880, 608358522430650456800855489249280000033, 936846115952229311596851692189, 251219854132988798975110827188214834765376207919, 9157942499262960772841472000096, 9209579292679325310996990048080950429, 79855162553888794326993, 647475766948584588510720, 7185074400, 19939418764438320, 774596117487626362548314482200449263442505959010, 42378967778587564985282352484668610631702216890, 9209579902859334095556685388165334989, 26584437368957224469726684209804030919, 62762714095992133411200866892008914944000000000, 19679114160, 231331231497949001402926960490745499582152671944, 64, 28100031020285230022464, 93924639424], 'label': '51200000000.gt.4._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.L', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117399
{'ambient': '51200000000.gt', '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': 2, 'diagramx': None, 'generators': [28100031020471600517600, 280217145690, 19939418763264023, 27439953496848340958494753977664, 486580401636779520, 710193606653923095045140472077595472079620246333, 90, 79855162553888794326960, 26584437368957224469726684303728668839, 647475510142073733936513, 231331231497949001402926960490745499563990477535, 7113748562001360, 26584437979137256909385491459471374826, 19680156810, 62762714095992168778250780752200573576044952960, 936846144052247505843487093709, 1180931196158416563390961018975716144576, 19939418763395760, 17374858076277950913866940129565624836, 20425781580706686886796525750761716208680318753, 816480, 42378967770422285918169754299569964783466165690], 'label': '51200000000.gt.8._.FO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.FO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.FO', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117400
{'ambient': '51200000000.gt', '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': 2, 'diagramx': None, 'generators': [28100031020471600517600, 280217145690, 19939418763264023, 27439953496848340958494753977664, 486580401636779520, 710193606653923095045140472077595472079620246333, 90, 79855162553888794326960, 26584437368957224469726684303728668839, 647475510142073733936513, 231331231497949001402926960490745499563990477535, 26584437979137256909385491459471374826, 19680156810, 62762714095992168778250780752200573576044952960, 936846144052247505843487093709, 774596117487626362548314482200442149693943959090, 1180931196158416563390961018975716144576, 19939418763395760, 17374858076277950913866940129565624836, 20425781580706686886796525750761716208680318753, 816480, 42378967770422285918169754299569964783466165690], 'label': '51200000000.gt.8._.FP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.FP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.FP', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117401
{'ambient': '51200000000.gt', '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': 2, 'diagramx': None, 'generators': [375233552466460415623481277016822143588241669233, 384142422344496513, 19679114160, 911748359133192520194113181750755736960, 51755137245711496447290, 544311317165518819855853074144363305449864789243, 1209600, 17374858076278002668978534406735052906, 82637945553049765559298609407259888851985467533, 774596117487626362548314482200449263442505959010, 936846064197124830900074246519, 304187470334005193645344289846231448993, 131783, 20425781580706685949950381698514210016480156743, 9209579619345408823540441140720000096, 33, 911748349975248082029538836498948889056, 79855162553888795369610, 41869336903510541630893209887169105100800000096, 19939693231997344, 26584437368957304324849359541288076829, 187769036160], 'label': '51200000000.gt.8._.FQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.FQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.FQ', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117402
{'ambient': '51200000000.gt', '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': 2, 'diagramx': None, 'generators': [384142422344496513, 774596117487626362548314482200449263436717988446, 231331231497949001402926960490764330093051790584, 19679114160, 911748359133192520194113181750755736960, 51755137245711496447290, 1209600, 17374858076278002668978534406735052906, 82637945553049765559298609407259888851985467533, 936846064197124830900074246519, 304187470334005193645344289846231448993, 131783, 20425781580706685949950381698514210016480156743, 9209579619345408823540441140720000096, 33, 911748349975248082029538836498948889056, 79855162553888795369610, 41869336903510541630893209887169105100800000096, 19939693231997344, 26584437368957304324849359541288076829, 544311317165518819855853074144363305461320961235, 187769036160], 'label': '51200000000.gt.8._.FR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.FR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.FR', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117403
{'ambient': '51200000000.gt', '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': 2, 'diagramx': None, 'generators': [384142422344496513, 12494008823, 19679114160, 146544591090428189972693871140573521110479750370, 911748359133192520194113181750755736960, 51755137245711496447290, 1209600, 17374858076278002668978534406735052906, 82637945553049765559298609407259888851985467533, 936846064197124830900074246519, 304187470334005193645344289846231448993, 131783, 20425781580706685949950381698514210016480156743, 9209579619345408823540441140720000096, 33, 911748349975248082029538836498948889056, 79855162553888795369610, 41869336903510541630893209887169105100800000096, 19939693231997344, 26584437368957304324849359541288076829, 544311317165518819855853074144363305461320961235, 187769036160], 'label': '51200000000.gt.8._.FS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.FS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.FS', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117404
{'ambient': '51200000000.gt', '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': 2, 'diagramx': None, 'generators': [384142422344496513, 774596117487626362548314482200449263436717988446, 19679114160, 146544591090428189972693871140573521110479750370, 911748359133192520194113181750755736960, 51755137245711496447290, 1209600, 17374858076278002668978534406735052906, 82637945553049765559298609407259888851985467533, 936846064197124830900074246519, 304187470334005193645344289846231448993, 131783, 20425781580706685949950381698514210016480156743, 9209579619345408823540441140720000096, 33, 911748349975248082029538836498948889056, 79855162553888795369610, 41869336903510541630893209887169105100800000096, 19939693231997344, 26584437368957304324849359541288076829, 544311317165518819855853074144363305461320961235, 187769036160], 'label': '51200000000.gt.8._.FT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.FT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.FT', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117405
{'ambient': '51200000000.gt', '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': 2, 'diagramx': None, 'generators': [384142422344496513, 231331231497949001402926960490764330093051790584, 12494008823, 19679114160, 911748359133192520194113181750755736960, 51755137245711496447290, 1209600, 17374858076278002668978534406735052906, 82637945553049765559298609407259888851985467533, 936846064197124830900074246519, 304187470334005193645344289846231448993, 131783, 20425781580706685949950381698514210016480156743, 9209579619345408823540441140720000096, 33, 911748349975248082029538836498948889056, 79855162553888795369610, 41869336903510541630893209887169105100800000096, 19939693231997344, 26584437368957304324849359541288076829, 710193606653923095045140472077595472079620246333, 187769036160], 'label': '51200000000.gt.8._.FU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.FU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.FU', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117406
{'ambient': '51200000000.gt', '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': 2, 'diagramx': None, 'generators': [384142422344496513, 774596117487626362548314482200449263436717988446, 231331231497949001402926960490764330093051790584, 19679114160, 911748359133192520194113181750755736960, 51755137245711496447290, 1209600, 17374858076278002668978534406735052906, 82637945553049765559298609407259888851985467533, 936846064197124830900074246519, 304187470334005193645344289846231448993, 131783, 20425781580706685949950381698514210016480156743, 9209579619345408823540441140720000096, 33, 911748349975248082029538836498948889056, 79855162553888795369610, 41869336903510541630893209887169105100800000096, 19939693231997344, 26584437368957304324849359541288076829, 710193606653923095045140472077595472079620246333, 187769036160], 'label': '51200000000.gt.8._.FV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.FV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.FV', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117407
{'ambient': '51200000000.gt', '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': 2, 'diagramx': None, 'generators': [384142422344496513, 12494008823, 19679114160, 146544591090428189972693871140573521110479750370, 911748359133192520194113181750755736960, 51755137245711496447290, 1209600, 17374858076278002668978534406735052906, 82637945553049765559298609407259888851985467533, 936846064197124830900074246519, 304187470334005193645344289846231448993, 131783, 20425781580706685949950381698514210016480156743, 9209579619345408823540441140720000096, 33, 911748349975248082029538836498948889056, 79855162553888795369610, 41869336903510541630893209887169105100800000096, 19939693231997344, 26584437368957304324849359541288076829, 710193606653923095045140472077595472079620246333, 187769036160], 'label': '51200000000.gt.8._.FW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.FW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.FW', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117408
{'ambient': '51200000000.gt', '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': 2, 'diagramx': None, 'generators': [384142422344496513, 774596117487626362548314482200449263436717988446, 19679114160, 146544591090428189972693871140573521110479750370, 911748359133192520194113181750755736960, 51755137245711496447290, 1209600, 17374858076278002668978534406735052906, 82637945553049765559298609407259888851985467533, 936846064197124830900074246519, 304187470334005193645344289846231448993, 131783, 20425781580706685949950381698514210016480156743, 9209579619345408823540441140720000096, 33, 911748349975248082029538836498948889056, 79855162553888795369610, 41869336903510541630893209887169105100800000096, 19939693231997344, 26584437368957304324849359541288076829, 710193606653923095045140472077595472079620246333, 187769036160], 'label': '51200000000.gt.8._.FX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.FX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.FX', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117936
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id: 222117409
{'ambient': '51200000000.gt', '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': [20935040445082060716666554737023778859626166880, 12494008823, 19679114160, 20425781580706686886796525750781655627442898033, 384142422344088960, 26584437368957224469706745139753573783, 26584437979137256909385491559064880090, 936846144052247506192200258503, 187769443776, 608358494990701923540701557473312768096, 19939418763637680, 82637945562259345178644018230794617790851196989, 231331231497949001402926960490745499582152671944, 12825689881466160, 79855162553820297733200, 409024, 753661821923316483196925472704182457332083555064, 27439951015054247445484074616353, 28100025308457515267280, 9209579292679325310977050723161317810, 608358494990699441746736468198252544096, 480445590912251800777331973907405017292279187760, 408960], 'label': '51200000000.gt.4._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.M', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117410
{'ambient': '51200000000.gt', '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': 2, 'diagramx': None, 'generators': [384142422344496513, 231331231497949001402926960490764330093051790584, 12494008823, 19679114160, 911748359133192520194113181750755736960, 51755137245711496447290, 1209600, 17374858076278002668978534406735052906, 82637945553049765559298609407259888851985467533, 936846064197124830900074246519, 304187470334005193645344289846231448993, 131783, 20425781580706685949950381698514210016480156743, 9209579619345408823540441140720000096, 33, 911748349975248082029538836498948889056, 79855162553888795369610, 41869336903510541630893209887169105100800000096, 19939693231997344, 26584437368957304324849359541288076829, 544311317165518819855853074144363305461320961235, 187769036160], 'label': '51200000000.gt.8._.FY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.FY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.FY', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117411
{'ambient': '51200000000.gt', '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': 2, 'diagramx': None, 'generators': [304187470334003898796608328021476144544, 96, 19939599386784096, 304187470334006380589985487180899504544, 26584437368957224469726684490019966823, 20425781580706686886796525750761715859967153953, 51755131533883781284650, 26584437979137205154273897293390280955, 774596117487626362548314482200436437947139841176, 17374858076278002668978534406735052810, 608358522430650456800983913427536774433, 131815, 19680156810, 93924230433, 544311317165518819855853074144363305461320961235, 231331231497949001402926960490745499563990477535, 936846064197124830900075698039, 82637945562259345788823975260235605352847601360, 62762714400179639112252740647425061420155264064, 79855162553888794327024, 486580401635736993, 1209690], 'label': '51200000000.gt.8._.FZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.FZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.FZ', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117412
{'ambient': '51200000000.gt', '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': 2, 'diagramx': None, 'generators': [304187470334003898796608328021476144544, 96, 19939599386784096, 304187470334006380589985487180899504544, 26584437368957224469726684490019966823, 20425781580706686886796525750761715859967153953, 51755131533883781284650, 26584437979137205154273897293390280955, 17374858076278002668978534406735052810, 608358522430650456800983913427536774433, 131815, 19680156810, 93924230433, 544311317165518819855853074144363305461320961235, 12825769834050513, 936846064197124830900075698039, 82637945562259345788823975260235605352847601360, 62762714400179639112252740647425061420155264064, 79855162553888794327024, 486580401635736993, 1209690, 146544591090428189972693871140567453519574329006], 'label': '51200000000.gt.8._.GA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.GA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.GA', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117413
{'ambient': '51200000000.gt', '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': 2, 'diagramx': None, 'generators': [304187470334003898796608328021476144544, 96, 19939599386784096, 304187470334006380589985487180899504544, 26584437368957224469726684490019966823, 20425781580706686886796525750761715859967153953, 51755131533883781284650, 26584437979137205154273897293390280955, 774596117487626362548314482200436437947139841176, 17374858076278002668978534406735052810, 608358522430650456800983913427536774433, 131815, 19680156810, 93924230433, 544311317165518819855853074144363305461320961235, 936846064197124830900075698039, 82637945562259345788823975260235605352847601360, 62762714400179639112252740647425061420155264064, 79855162553888794327024, 486580401635736993, 1209690, 146544591090428189972693871140567453519574329006], 'label': '51200000000.gt.8._.GB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.GB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.GB', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117414
{'ambient': '51200000000.gt', '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': 2, 'diagramx': None, 'generators': [304187470334003898796608328021476144544, 96, 19939599386784096, 304187470334006380589985487180899504544, 26584437368957224469726684490019966823, 20425781580706686886796525750761715859967153953, 51755131533883781284650, 26584437979137205154273897293390280955, 17374858076278002668978534406735052810, 608358522430650456800983913427536774433, 131815, 19680156810, 93924230433, 12825769834050513, 231331231497949001402926960490745499563990477535, 936846064197124830900075698039, 710193606653923095045140472077595472079620246333, 82637945562259345788823975260235605352847601360, 62762714400179639112252740647425061420155264064, 79855162553888794327024, 486580401635736993, 1209690], 'label': '51200000000.gt.8._.GC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.GC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.GC', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117415
{'ambient': '51200000000.gt', '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': 2, 'diagramx': None, 'generators': [304187470334003898796608328021476144544, 96, 19939599386784096, 304187470334006380589985487180899504544, 26584437368957224469726684490019966823, 20425781580706686886796525750761715859967153953, 51755131533883781284650, 26584437979137205154273897293390280955, 774596117487626362548314482200436437947139841176, 17374858076278002668978534406735052810, 608358522430650456800983913427536774433, 131815, 19680156810, 93924230433, 231331231497949001402926960490745499563990477535, 936846064197124830900075698039, 710193606653923095045140472077595472079620246333, 82637945562259345788823975260235605352847601360, 62762714400179639112252740647425061420155264064, 79855162553888794327024, 486580401635736993, 1209690], 'label': '51200000000.gt.8._.GD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.GD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.GD', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117416
{'ambient': '51200000000.gt', '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': 2, 'diagramx': None, 'generators': [304187470334003898796608328021476144544, 96, 19939599386784096, 304187470334006380589985487180899504544, 26584437368957224469726684490019966823, 20425781580706686886796525750761715859967153953, 51755131533883781284650, 26584437979137205154273897293390280955, 17374858076278002668978534406735052810, 608358522430650456800983913427536774433, 131815, 19680156810, 93924230433, 12825769834050513, 936846064197124830900075698039, 710193606653923095045140472077595472079620246333, 82637945562259345788823975260235605352847601360, 62762714400179639112252740647425061420155264064, 79855162553888794327024, 486580401635736993, 1209690, 146544591090428189972693871140567453519574329006], 'label': '51200000000.gt.8._.GE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.GE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.GE', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117417
{'ambient': '51200000000.gt', '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': 2, 'diagramx': None, 'generators': [304187470334003898796608328021476144544, 96, 19939599386784096, 304187470334006380589985487180899504544, 26584437368957224469726684490019966823, 20425781580706686886796525750761715859967153953, 51755131533883781284650, 26584437979137205154273897293390280955, 774596117487626362548314482200436437947139841176, 17374858076278002668978534406735052810, 608358522430650456800983913427536774433, 131815, 19680156810, 93924230433, 936846064197124830900075698039, 710193606653923095045140472077595472079620246333, 82637945562259345788823975260235605352847601360, 62762714400179639112252740647425061420155264064, 79855162553888794327024, 486580401635736993, 1209690, 146544591090428189972693871140567453519574329006], 'label': '51200000000.gt.8._.GF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.GF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.GF', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117418
{'ambient': '51200000000.gt', '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': 2, 'diagramx': None, 'generators': [131815, 26584437368957224469726684490019966823, 936846064197124830900075698039, 12825769834050513, 19939599386784096, 79855162553888794327024, 608358522430650456800983913427536774433, 544311317165518819855853074144363305461320961235, 304187470334003898796608328021476144544, 51755131533883781284650, 62762714400179639112252740647425061420155264064, 231331231497949001402926960490745499563990477535, 20425781580706686886796525750761715859967153953, 486580401635736993, 19680156810, 26584437979137205154273897293390280955, 304187470334006380589985487180899504544, 82637945562259345788823975260235605352847601360, 93924230433, 1209690, 17374858076278002668978534406735052810, 96], 'label': '51200000000.gt.8._.GG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.GG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.GG', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117419
{'ambient': '51200000000.gt', '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': 2, 'diagramx': None, 'generators': [79855162553888794327056, 96, 304187470334003898796378553942926763610, 26584437979137205154273897461040876196, 35367048622434702102670542009633, 128424084333995610, 544311317165518819855853074144363305449864789243, 28100025308201249411370, 816480, 20425781580706686886796445895639040877195637776, 774596117487626362548314482200442149693943959090, 19939438443697953, 131783, 93925682010, 19939418763395760, 936846064197124830968572684886, 26584437368957224469726684209804030919, 2481793735357042090800544, 231331231497949001402926960490745499582152671944, 17374858076278002668978534314288152970, 42378967778587564701768483412683042895135894403, 41869336903510576997941832321487065348997529050], 'label': '51200000000.gt.8._.GH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.GH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.GH', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117420
{'ambient': '51200000000.gt', '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': [20935040445082060716666554737023778859626166880, 12494008823, 19679114160, 20425781580706686886796525750781655627442898033, 384142422344088960, 26584437368957224469706745139753573783, 26584437979137256909385491559064880090, 231331231497949001402926960490745499582152540175, 936846144052247506192200258503, 187769443776, 608358494990701923540701557473312768096, 19939418763637680, 82637945562259345178644018230794617790851196989, 12825689881466160, 79855162553820297733200, 409024, 753661821923316483196925472704182457332083555064, 27439951015054247445484074616353, 28100025308457515267280, 9209579292679325310977050723161317810, 608358494990699441746736468198252544096, 480445590912251800777331973907405017292279187760, 408960], 'label': '51200000000.gt.4._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.N', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117937
{'ambient': '51200000000.gt', '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': [42378967770422286201683675126674240435115968643, 384142702560432544, 79855162554169010263056, 33, 51755137245805421070810, 26584438305803368521974190053290800480, 1209600, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 26584437368957252569737765076268978519, 9157942499263344915263815680090, 280216752570, 1180931214473494978994271197257957580224, 9209579619345385168434215452957948080, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.1024._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1024.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1024._.N', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117421
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id: 222117422
{'ambient': '51200000000.gt', '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': 2, 'diagramx': None, 'generators': [79855162553888794327056, 96, 304187470334003898796378553942926763610, 26584437979137205154273897461040876196, 35367048622434702102670542009633, 128424084333995610, 28100025308201249411370, 816480, 20425781580706686886796445895639040877195637776, 774596117487626362548314482200442149693943959090, 19939438443697953, 131783, 710193606653923095045140472077595472092114170170, 93925682010, 19939418763395760, 936846064197124830968572684886, 26584437368957224469726684209804030919, 2481793735357042090800544, 231331231497949001402926960490745499582152671944, 17374858076278002668978534314288152970, 42378967778587564701768483412683042895135894403, 41869336903510576997941832321487065348997529050], 'label': '51200000000.gt.8._.GJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.GJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.GJ', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117423
{'ambient': '51200000000.gt', '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': 2, 'diagramx': None, 'generators': [79855162553888794327056, 96, 304187470334003898796378553942926763610, 146544591090428189972693871140567453501412150450, 26584437979137205154273897461040876196, 35367048622434702102670542009633, 128424084333995610, 544311317165518819855853074144363305449864789243, 28100025308201249411370, 816480, 20425781580706686886796445895639040877195637776, 19939438443697953, 131783, 93925682010, 19939418763395760, 936846064197124830968572684886, 26584437368957224469726684209804030919, 2481793735357042090800544, 7113748562001360, 17374858076278002668978534314288152970, 42378967778587564701768483412683042895135894403, 41869336903510576997941832321487065348997529050], 'label': '51200000000.gt.8._.GK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.GK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.GK', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117424
{'ambient': '51200000000.gt', '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': 2, 'diagramx': None, 'generators': [1180931196158417210865984580996526693850, 79855162553888794326960, 20935041053440564865308495746208453486518067296, 375233552466460415623481277016815029839679713233, 348714374400, 42378967770422285918169754299564252769379387626, 1180931196158416563390474438574081209600, 544311317165518819855853074144363305449864789243, 20425781607291123318907686023363569449910787793, 816480, 774596117487626362548314482200442149693943959090, 26584437368957224469726684209804847303, 17374858076278002668998473825499491189, 19939418763395760, 28100031020471600517600, 17374858686457931598428380784002830816, 90, 19939438443062970, 19939418763264023, 911748359133193063085978118282343421280, 936846064197124830968572291709, 256806323086128570], 'label': '51200000000.gt.8._.GL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.GL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.GL', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117425
{'ambient': '51200000000.gt', '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': 2, 'diagramx': None, 'generators': [1180931196158417210865984580996526693850, 79855162553888794326960, 20935041053440564865308495746208453486518067296, 375233552466460415623481277016815029839679713233, 348714374400, 42378967770422285918169754299564252769379387626, 1180931196158416563390474438574081209600, 20425781607291123318907686023363569449910787793, 816480, 26584437368957224469726684209804847303, 710193606653923095045140472077595472092114170170, 17374858076278002668998473825499491189, 19939418763395760, 28100031020471600517600, 7113748562001360, 17374858686457931598428380784002830816, 90, 19939438443062970, 19939418763264023, 911748359133193063085978118282343421280, 936846064197124830968572291709, 256806323086128570], 'label': '51200000000.gt.8._.GM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.GM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.GM', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117426
{'ambient': '51200000000.gt', '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': 2, 'diagramx': None, 'generators': [1180931196158417210865984580996526693850, 79855162553888794326960, 20935041053440564865308495746208453486518067296, 375233552466460415623481277016815029839679713233, 348714374400, 42378967770422285918169754299564252769379387626, 1180931196158416563390474438574081209600, 20425781607291123318907686023363569449910787793, 816480, 774596117487626362548314482200442149693943959090, 26584437368957224469726684209804847303, 710193606653923095045140472077595472092114170170, 17374858076278002668998473825499491189, 19939418763395760, 28100031020471600517600, 17374858686457931598428380784002830816, 90, 19939438443062970, 19939418763264023, 911748359133193063085978118282343421280, 936846064197124830968572291709, 256806323086128570], 'label': '51200000000.gt.8._.GN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.GN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.GN', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117427
{'ambient': '51200000000.gt', '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': 2, 'diagramx': None, 'generators': [1180931196158417210865984580996526693850, 79855162553888794326960, 20935041053440564865308495746208453486518067296, 348714374400, 42378967770422285918169754299564252769379387626, 1180931196158416563390474438574081209600, 20425781607291123318907686023363569449910787793, 816480, 26584437368957224469726684209804847303, 710193606653923095045140472077595472092114170170, 440681736525184686379537193512509117103400051879, 17374858076278002668998473825499491189, 19939418763395760, 28100031020471600517600, 7113748562001360, 17374858686457931598428380784002830816, 90, 19939438443062970, 19939418763264023, 911748359133193063085978118282343421280, 936846064197124830968572291709, 256806323086128570], 'label': '51200000000.gt.8._.GO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.GO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.GO', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117428
{'ambient': '51200000000.gt', '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': [9157942499263344915612530054400, 96, 19939425948731543, 26584437368957304324849359353518240023, 17374858686457931598408441266086886400, 28100031020285230022464, 1180931223598367578444978690220295148800, 19679114160, 82637946464798142680503950513201198208322815309, 42378967770422286201683651471573726605724793613, 348713164800, 20425781607291124255753750220488400418483714503, 7185074400, 62762714095992133411200866892008914944000000064, 128424084332544000, 774596117200813785330967943971318531064319559170, 131783, 79855162554075086032560, 26584438305803288666811636621065730480, 647475894284496076800000, 480445590912251800777331973907405017292279187760, 408960], 'label': '51200000000.gt.8._.GP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.GP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.GP', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117429
{'ambient': '51200000000.gt', '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': [9157942499263344915612530054400, 96, 19939425948731543, 26584437368957304324849359353518240023, 17374858686457931598408441266086886400, 28100031020285230022464, 1180931223598367578444978690220295148800, 19679114160, 42378967770422286201683651471573726605724793613, 348713164800, 82637946751355846939948523742243424762463340890, 20425781607291124255753750220488400418483714503, 7185074400, 62762714095992133411200866892008914944000000064, 128424084332544000, 774596117200813785330967943971318531064319559170, 131783, 79855162554075086032560, 26584438305803288666811636621065730480, 647475894284496076800000, 480445590912251800777331973907405017292279187760, 408960], 'label': '51200000000.gt.8._.GQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.GQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.GQ', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117430
{'ambient': '51200000000.gt', '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': [20425781607291124255753670365345785762160668743, 187770078720, 647475510142073733120000, 408960, 384142771057661280, 7113748562408880, 936846115952229311596851692189, 186817333537895255701429216272434243199600859320, 26584437979137233254292091720650073669, 79855162553888794326993, 816513, 7185074400, 19939418764438320, 42378967778587564985282352484668610631702216890, 82637946464798142680503950513201198022032561203, 26584437368957224469726684209804030919, 9157942499263344915544033067553, 19679114160, 28100031020285230022464, 62762714095992133411203348686102428303393977696, 9209579292679325310996990048080985706, 608358494990699441747094624795772473696], 'label': '51200000000.gt.8._.GR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.GR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.GR', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117431
{'ambient': '51200000000.gt', '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': [480445590912251800777331973907405017292279142423, 20935040445082060716666554737023778859626166880, 12494008823, 19679114160, 20425781580706686886796525750781655627442898033, 384142422344088960, 26584437368957224469706745139753573783, 26584437979137256909385491559064880090, 936846144052247506192200258503, 187769443776, 608358494990701923540701557473312768096, 19939418763637680, 82637945562259345178644018230794617790851196989, 231331231497949001402926960490745499582152671944, 12825689881466160, 79855162553820297733200, 409024, 753661821923316483196925472704182457332083555064, 27439951015054247445484074616353, 28100025308457515267280, 9209579292679325310977050723161317810, 608358494990699441746736468198252544096, 408960], 'label': '51200000000.gt.4._.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.O', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.O', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117432
{'ambient': '51200000000.gt', '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': [20425781607291124255753670365345785762160668743, 187770078720, 647475510142073733120000, 82637946751355846939948523742243424762463340890, 408960, 384142771057661280, 7113748562408880, 936846115952229311596851692189, 186817333537895255701429216272434243199600859320, 26584437979137233254292091720650073669, 79855162553888794326993, 816513, 7185074400, 19939418764438320, 42378967778587564985282352484668610631702216890, 26584437368957224469726684209804030919, 9157942499263344915544033067553, 19679114160, 28100031020285230022464, 62762714095992133411203348686102428303393977696, 9209579292679325310996990048080985706, 608358494990699441747094624795772473696], 'label': '51200000000.gt.8._.GS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.GS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.GS', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117646
{'ambient': '51200000000.gt', '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': [384142702560432544, 17374858076278030769003842515536762235, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 51755131533883781284650, 608358522430652395702110905971241981344, 7113748562001360, 251219854419801401792184371541377067743630341186, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 42378967770422286201683623371542706576761836909, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.128._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.D', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117434
{'ambient': '51200000000.gt', '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': [42378967778587564985282352484668610619208373690, 42378967778587564985282352484675724380263813610, 62762714095992133411203348686102428303393977696, 28100031020285230022464, 608358494990699441747094624795772473696, 19679114160, 187770078720, 42378967778587564701768483412683042895134851810, 20425781607291124255753670365345785762160668743, 42378967761212706909004429670852630044227129690, 186817333537895255701429216272434243199600859320, 9157942499263344915544033067553, 131783, 774596117210023356402548707236767944874414148466, 26584437368957224469726684209804030919, 384142771057661280, 647475510142073733120000, 79855162553888794326993, 19939418764438320, 816513, 9209579902859334095556685388165334989, 408960], 'label': '51200000000.gt.8._.GU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.GU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.GU', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117435
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id: 222117436
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id: 222117437
{'ambient': '51200000000.gt', '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': [9157942499263344915612530054400, 96, 26584437368957304324849359353518240023, 17374858686457931598408441266086886400, 28100031020285230022464, 774596117183438927254689941302320057425192750603, 774596117200813785330967943971318531064319528206, 1180931223598367578444978690220295148800, 19679114160, 42378967770422286201683651471573726605724793613, 348713164800, 20425781607291124255753750220488400418483714503, 7185074400, 62762714095992133411200866892008914944000000064, 128424084332544000, 774596117200813785330967943971298591639847476366, 754707494565773979821204018925109194146099254233, 79855162554075086032560, 26584438305803288666811636621065730480, 647475894284496076800000, 480445590912251800777331973907405017292279187760, 408960], 'label': '51200000000.gt.8._.GX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.GX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.GX', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117438
{'ambient': '51200000000.gt', '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': [9157942499263344915612530054400, 96, 26584437368957304324849359353518240023, 17374858686457931598408441266086886400, 28100031020285230022464, 774596117183438927254689941302320057425192750603, 774596117200813785330967943971318531064319528206, 1180931223598367578444978690220295148800, 19679114160, 42378967770422286201683651471573726605724793613, 348713164800, 20425781607291124255753750220488400418483714503, 7185074400, 62762714095992133411200866892008914944000000064, 82637946751355846939948523742256250432664615050, 128424084332544000, 774596117200813785330967943971298591639847476366, 79855162554075086032560, 26584438305803288666811636621065730480, 647475894284496076800000, 480445590912251800777331973907405017292279187760, 408960], 'label': '51200000000.gt.8._.GY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.GY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.GY', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117439
{'ambient': '51200000000.gt', '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': [42378967778587564985282352484668610619208373690, 42378967778587564985282352484675724380263813610, 62762714095992133411203348686102428303393977696, 28100031020285230022464, 608358494990699441747094624795772473696, 42378967778587564985282352484668610631702252173, 19679114160, 187770078720, 42378967778587564701768483412683042895134851810, 20425781607291124255753670365345785762160668743, 42378967761212706909004429670852630044227129690, 186817333537895255701429216272434243199600859320, 9157942499263344915544033067553, 384142771057661280, 26584437368957224469726684209804030919, 774596117210023356402548707236767944874414148466, 647475510142073733120000, 79855162553888794326993, 19939418764438320, 816513, 9209579902859334095556685388165334989, 408960], 'label': '51200000000.gt.8._.GZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.GZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.GZ', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117440
{'ambient': '51200000000.gt', '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': [42378967778587564985282352484668610619208373690, 42378967778587564985282352484675724380263813610, 62762714095992133411203348686102428303393977696, 28100031020285230022464, 608358494990699441747094624795772473696, 42378967778587564985282352484668610631702252173, 19679114160, 187770078720, 42378967778587564701768483412683042895134851810, 20425781607291124255753670365345785762160668743, 754707493983991691139308440090643600490976791033, 42378967761212706909004429670852630044227129690, 186817333537895255701429216272434243199600859320, 9157942499263344915544033067553, 26584437368957224469726684209804030919, 384142771057661280, 647475510142073733120000, 79855162553888794326993, 19939418764438320, 816513, 9209579902859334095556685388165334989, 408960], 'label': '51200000000.gt.8._.HA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.HA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.HA', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117441
{'ambient': '51200000000.gt', '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': [42378967770422286201683675126674240086402152893, 28100031020285230022464, 26584437368957304324849359353518240023, 41869336903510541630893209887169105288570078784, 79855162553820298549680, 19679114160, 187770078720, 815364726145577576629853473588033262710517046479, 816480, 815364726145577576629853473588053202147442126856, 20425781607291124255753750220488400418482262989, 256806323085312000, 1938901383840457580544000, 131783, 608358530357747416705544286372716544000, 35367047974958807818174464000000, 9209579902859305995538491028884965783, 689796096861013923255631280658860273604241758690, 815364726137165612686629406790395531292880396229, 709643057146255116824351517988563283662564611280, 26584438305803368521974190053290800480, 816513], 'label': '51200000000.gt.8._.HB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.HB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.HB', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117442
{'ambient': '51200000000.gt', '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': [480445590912251800777331973907405017292279142423, 20935040445082060716666554737023778859626166880, 12494008823, 19679114160, 20425781580706686886796525750781655627442898033, 384142422344088960, 648477310393751851715002356188575941454258807589, 26584437368957224469706745139753573783, 26584437979137256909385491559064880090, 936846144052247506192200258503, 187769443776, 608358494990701923540701557473312768096, 19939418763637680, 82637945562259345178644018230794617790851196989, 12825689881466160, 79855162553820297733200, 409024, 753661821923316483196925472704182457332083555064, 27439951015054247445484074616353, 28100025308457515267280, 9209579292679325310977050723161317810, 608358494990699441746736468198252544096, 408960], 'label': '51200000000.gt.4._.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.P', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.P', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117443
{'ambient': '51200000000.gt', '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': [187770078720, 1938901383840457580544000, 815364726145577576629853473588033262710517046479, 26584438305803368521974190053290800480, 42378967770422286201683675126674240086402152893, 79855162553820298549680, 689796096861013923255631280658860273604241758690, 26584437368957304324849359353518240023, 608358530357747416705544286372716544000, 816513, 544311317165518819855853074144376131131522223875, 41869336903510541630893209887169105288570078784, 35367047974958807818174464000000, 131783, 815364726145577576629853473588053202147442126856, 20425781607291124255753750220488400418482262989, 19679114160, 28100031020285230022464, 256806323085312000, 9209579902859305995538491028884965783, 816480, 815364726137165612686629406790395531292880396229], 'label': '51200000000.gt.8._.HC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.HC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.HC', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117444
{'ambient': '51200000000.gt', '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': [187770078720, 1938901383840457580544000, 26584438305803368521974190053290800480, 42378967770422286201683675126674240086402152893, 79855162553820298549680, 524422693662681727209699234332080854043103717866, 709643057146255116824351517988563283662564611280, 26584437368957304324849359353518240023, 608358530357747416705544286372716544000, 816513, 7185074400, 41869336903510541630893209887169105288570078784, 35367047974958807818174464000000, 131783, 20425781607291124255753750220488400418482262989, 19679114160, 28100031020285230022464, 256806323085312000, 9209579902859305995538491028884965783, 816480, 19939418764473623, 815364726137165612686629406790395531292880396229], 'label': '51200000000.gt.8._.HD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.HD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.HD', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117445
{'ambient': '51200000000.gt', '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': [187770078720, 1938901383840457580544000, 26584438305803368521974190053290800480, 42378967770422286201683675126674240086402152893, 79855162553820298549680, 524422693662681727209699234332080854043103717866, 26584437368957304324849359353518240023, 608358530357747416705544286372716544000, 816513, 7185074400, 544311317165518819855853074144376131131522223875, 41869336903510541630893209887169105288570078784, 35367047974958807818174464000000, 131783, 20425781607291124255753750220488400418482262989, 19679114160, 28100031020285230022464, 256806323085312000, 9209579902859305995538491028884965783, 816480, 19939418764473623, 815364726137165612686629406790395531292880396229], 'label': '51200000000.gt.8._.HE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.HE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.HE', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117446
{'ambient': '51200000000.gt', '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': [42378967778587564985282352484668610619208373690, 42378967778587564985282352484675724380263813610, 62762714095992133411203348686102428303393977696, 28100031020285230022464, 608358494990699441747094624795772473696, 19679114160, 187770078720, 42378967778587564701768483412683042895134851810, 20425781607291124255753670365345785762160668743, 754707493983991691139308440090643600490976791033, 42378967761212706909004429670852630044227129690, 186817333537895255701429216272434243199600859320, 9157942499263344915544033067553, 131783, 26584437368957224469726684209804030919, 384142771057661280, 647475510142073733120000, 79855162553888794326993, 19939418764438320, 816513, 9209579902859334095556685388165334989, 408960], 'label': '51200000000.gt.8._.HF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.HF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.HF', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117447
{'ambient': '51200000000.gt', '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': [62762714095992133411203348686102428303393977696, 28100031020285230022464, 608358494990699441747094624795772473696, 7113748562408880, 19679114160, 936846115952229311596851692189, 187770078720, 7185074400, 20425781607291124255753670365345785762160668743, 774596117487626362548314482200449263442505959010, 9157942499263344915544033067553, 131783, 42378967778587564985282352484668610631702216890, 384142771057661280, 26584437368957224469726684209804030919, 82637946464798142680503950513201198022032561203, 647475510142073733120000, 79855162553888794326993, 19939418764438320, 816513, 9209579902859334095556685388165334989, 408960], 'label': '51200000000.gt.8._.HG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.HG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.HG', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117448
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id: 222117449
{'ambient': '51200000000.gt', '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': [62762714095992133411203348686102428303393977696, 28100031020285230022464, 608358494990699441747094624795772473696, 7113748562408880, 19679114160, 936846115952229311596851692189, 187770078720, 82637946751355846939948523742243424762463340890, 7185074400, 9209579292679325310996990048080985706, 20425781607291124255753670365345785762160668743, 774596117487626362548314482200449263442505959010, 9157942499263344915544033067553, 42378967778587564985282352484668610631702216890, 384142771057661280, 26584437368957224469726684209804030919, 647475510142073733120000, 79855162553888794326993, 19939418764438320, 816513, 9209579902859334095556685388165334989, 408960], 'label': '51200000000.gt.8._.HI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.HI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.HI', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117450
{'ambient': '51200000000.gt', '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': [187770078720, 1938901383840457580544000, 26584438305803368521974190053290800480, 42378967770422286201683675126674240086402152893, 79855162553820298549680, 17374858076278002668978534663001675613, 82637946152206931241930214597363925325122815236, 26584437368957304324849359353518240023, 608358530357747416705544286372716544000, 816513, 7185074400, 544820203151403474420645582899670831596448974810, 41869336903510541630893209887169105288570078784, 35367047974958807818174464000000, 20425781607291124255753750220488400418482262989, 19679114160, 28100031020285230022464, 256806323085312000, 815364726145577576629853473588033262728679270399, 9209579902859305995538491028884965783, 816480, 17374858076278002668998474081764172813], 'label': '51200000000.gt.8._.HJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.HJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.HJ', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117451
{'ambient': '51200000000.gt', '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': [187770078720, 82637946751355846939948523742243424762463340890, 1938901383840457580544000, 26584438305803368521974190053290800480, 42378967770422286201683675126674240086402152893, 79855162553820298549680, 17374858076278002668978534663001675613, 26584437368957304324849359353518240023, 608358530357747416705544286372716544000, 816513, 7185074400, 544820203151403474420645582899670831596448974810, 41869336903510541630893209887169105288570078784, 35367047974958807818174464000000, 20425781607291124255753750220488400418482262989, 19679114160, 28100031020285230022464, 256806323085312000, 815364726145577576629853473588033262728679270399, 9209579902859305995538491028884965783, 816480, 17374858076278002668998474081764172813], 'label': '51200000000.gt.8._.HK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.HK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.HK', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117452
{'ambient': '51200000000.gt', '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': [42378967770422286201683675126674240086402152893, 28100031020285230022464, 26584437368957304324849359353518240023, 41869336903510541630893209887169105288570078784, 79855162553820298549680, 19679114160, 187770078720, 7185074400, 816480, 20425781607291124255753750220488400418482262989, 256806323085312000, 1938901383840457580544000, 131783, 17374858076278002668978534663001675613, 608358530357747416705544286372716544000, 544311317165518819855853074144363305461320961235, 35367047974958807818174464000000, 9209579902859305995538491028884965783, 82637946152206931241930214597363925325122815236, 26584438305803368521974190053290800480, 816513, 815364726145577576629853473588033262728679270399], 'label': '51200000000.gt.8._.HL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.HL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.HL', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117453
{'ambient': '51200000000.gt', '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': [28100025308549962182960, 19679114160, 79855162553820298140810, 486580401635328090, 20425781580706686886796525750761716208679276160, 774596117487626362548314482200449263442505959010, 62762714704350628401900956114383907454738840960, 131783, 33, 19939418763395760, 26584437979137256909405430809737697306, 280215936064, 7113748562001360, 231331231497949001402926960490745499582152671944, 544311317165518819855853074144363305461320961235, 936846144052247505843487894375, 304187470334004546272016032115918009664, 608358494990699441746992186536265131584, 82637945570424623962242695588801813907198299556, 27439951015054631587557705131520, 26584437368957224469726684209804030855, 408960, 9209579292679353411002358924409276093], 'label': '51200000000.gt.4._.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.Q', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.Q', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117454
{'ambient': '51200000000.gt', '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': [42378967770422286201683675126674240086402152893, 28100031020285230022464, 26584437368957304324849359353518240023, 41869336903510541630893209887169105288570078784, 79855162553820298549680, 19679114160, 187770078720, 82637946751355846939948523742243424762463340890, 7185074400, 816480, 20425781607291124255753750220488400418482262989, 256806323085312000, 1938901383840457580544000, 131783, 17374858076278002668978534663001675613, 608358530357747416705544286372716544000, 544311317165518819855853074144363305461320961235, 35367047974958807818174464000000, 9209579902859305995538491028884965783, 26584438305803368521974190053290800480, 816513, 815364726145577576629853473588033262728679270399], 'label': '51200000000.gt.8._.HM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.HM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.HM', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117455
{'ambient': '51200000000.gt', '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': [62762714095992133411203348686102428303393977696, 28100031020285230022464, 608358494990699441747094624795772473696, 7113748562408880, 19679114160, 936846115952229311596851692189, 187770078720, 82637946751355846939948523742243424762463340890, 7185074400, 20425781607291124255753670365345785762160668743, 774596117487626362548314482200449263442505959010, 9157942499263344915544033067553, 131783, 42378967778587564985282352484668610631702216890, 384142771057661280, 26584437368957224469726684209804030919, 647475510142073733120000, 79855162553888794326993, 19939418764438320, 816513, 9209579902859334095556685388165334989, 408960], 'label': '51200000000.gt.8._.HN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.HN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.HN', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117456
{'ambient': '51200000000.gt', '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': [42378967778587564985282352484675724380263813610, 62762714095992133411203348686102428303393977696, 28100031020285230022464, 608358494990699441747094624795772473696, 19679114160, 187770078720, 7185074400, 42378967778587564701768483412683042895134851810, 20425781607291124255753670365345785762160668743, 42378967761212706909004429670852630044227129690, 9157942499263344915544033067553, 131783, 146544590794660924408979174184668410423823534533, 384142771057661280, 26584437368957224469726684209804030919, 774596117210023356402548707236767944874414148466, 647475510142073733120000, 79855162553888794326993, 19939418764438320, 42378967761212707235670461428265948975186329010, 816513, 408960], 'label': '51200000000.gt.8._.HO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.HO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.HO', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117457
{'ambient': '51200000000.gt', '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': [42378967778587564985282352484675724380263813610, 62762714095992133411203348686102428303393977696, 28100031020285230022464, 608358494990699441747094624795772473696, 42378967778587564985282352484668610631702252173, 19679114160, 187770078720, 7185074400, 42378967778587564701768483412683042895134851810, 20425781607291124255753670365345785762160668743, 42378967761212706909004429670852630044227129690, 9157942499263344915544033067553, 146544590794660924408979174184668410423823534533, 384142771057661280, 26584437368957224469726684209804030919, 774596117210023356402548707236767944874414148466, 647475510142073733120000, 79855162553888794326993, 19939418764438320, 42378967761212707235670461428265948975186329010, 816513, 408960], 'label': '51200000000.gt.8._.HP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.HP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.HP', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117647
{'ambient': '51200000000.gt', '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': [384142702560432544, 17374858076278030769003842515536762235, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 231331231202979333200256513173658310954373087944, 26584437368957304324869298611337098189, 51755131533883781284650, 608358522430652395702110905971241981344, 7113748562001360, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 42378967770422286201683623371542706576761836909, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.128._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.E', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117458
{'ambient': '51200000000.gt', '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': [42378967778587564985282352484675724380263813610, 62762714095992133411203348686102428303393977696, 28100031020285230022464, 608358494990699441747094624795772473696, 42378967778587564985282352484668610631702252173, 19679114160, 187770078720, 7185074400, 42378967778587564701768483412683042895134851810, 20425781607291124255753670365345785762160668743, 754707493983991691139308440090643600490976791033, 42378967761212706909004429670852630044227129690, 9157942499263344915544033067553, 146544590794660924408979174184668410423823534533, 384142771057661280, 26584437368957224469726684209804030919, 647475510142073733120000, 79855162553888794326993, 19939418764438320, 42378967761212707235670461428265948975186329010, 816513, 408960], 'label': '51200000000.gt.8._.HQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.HQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.HQ', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117459
{'ambient': '51200000000.gt', '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': [42378967778587564985282352484675724380263813610, 62762714095992133411203348686102428303393977696, 28100031020285230022464, 608358494990699441747094624795772473696, 19679114160, 187770078720, 7185074400, 42378967778587564701768483412683042895134851810, 20425781607291124255753670365345785762160668743, 754707493983991691139308440090643600490976791033, 42378967761212706909004429670852630044227129690, 9157942499263344915544033067553, 131783, 146544590794660924408979174184668410423823534533, 384142771057661280, 26584437368957224469726684209804030919, 647475510142073733120000, 79855162553888794326993, 19939418764438320, 42378967761212707235670461428265948975186329010, 816513, 408960], 'label': '51200000000.gt.8._.HR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.HR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.HR', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117460
{'ambient': '51200000000.gt', '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': [62762714095992133411203348686102428303393977696, 28100031020285230022464, 608358494990699441747094624795772473696, 7113748562408880, 19679114160, 936846115952229311596851692189, 187770078720, 7185074400, 20425781607291124255753670365345785762160668743, 186817333537895255701429216272434243199600859320, 9157942499263344915544033067553, 131783, 42378967778587564985282352484668610631702216890, 384142771057661280, 26584437368957224469726684209804030919, 82637946464798142680503950513201198022032561203, 26584437979137233254292091720650073669, 647475510142073733120000, 79855162553888794326993, 19939418764438320, 816513, 408960], 'label': '51200000000.gt.8._.HS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.HS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.HS', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117461
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id: 222117462
{'ambient': '51200000000.gt', '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': [9157942499263344915612530054400, 96, 19939425948731543, 26584437368957304324849359353518240023, 17374858686457931598408441266086886400, 28100031020285230022464, 1180931223598367578444978690220295148800, 19679114160, 42378967770422286201683651471573726605724793613, 348713164800, 82637946751355846939948523742243424762463340890, 20425781607291124255753750220488400418483714503, 7185074400, 62762714095992133411200866892008914944000000064, 128424084332544000, 774596117200813785330967943971318531064319559170, 461079989426943019937199278519215666785700536973, 79855162554075086032560, 9209579292679325310996990141924172810, 26584438305803288666811636621065730480, 647475894284496076800000, 408960], 'label': '51200000000.gt.8._.HU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.HU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.HU', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117463
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 51755131533883781284650, 608358522430652395702110905971241981344, 690814242301476401219927572826729561500420281664, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209964160, 9157942499263344915263815680090, 131783, 19679114160, 42378967770422286201683623371542706576761836909, 774596117487626362548314482200442149693943959090, 280216752570, 1180931214473494978994271197257957580224, 17374858076278030769003842495857734475, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.16._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.A', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117464
{'ambient': '51200000000.gt', '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': [28100025308549962182960, 19679114160, 79855162553820298140810, 486580401635328090, 20425781580706686886796525750761716208679276160, 774596117487626362548314482200449263442505959010, 62762714704350628401900956114383907454738840960, 131783, 33, 19939418763395760, 26584437979137256909405430809737697306, 280215936064, 7113748562001360, 544311317165518819855853074144363305461320961235, 936846144052247505843487894375, 231331231497949001402926960490745499563990477535, 304187470334004546272016032115918009664, 608358494990699441746992186536265131584, 82637945570424623962242695588801813907198299556, 27439951015054631587557705131520, 26584437368957224469726684209804030855, 408960, 9209579292679353411002358924409276093], 'label': '51200000000.gt.4._.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.R', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.R', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117465
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 51755131533883781284650, 12494008823, 608358522430652395702110905971241981344, 774596117487626362548314482200449263442505959010, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209964160, 9157942499263344915263815680090, 131783, 19679114160, 42378967770422286201683623371542706576761836909, 280216752570, 1180931214473494978994271197257957580224, 17374858076278030769003842495857734475, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.16._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.B', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117466
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 51755131533883781284650, 608358522430652395702110905971241981344, 7113748562001360, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209964160, 9157942499263344915263815680090, 774596117487626362548314482200449263442505994286, 19679114160, 42378967770422286201683623371542706576761836909, 280216752570, 774596117487626362548314482200449263436717988446, 1180931214473494978994271197257957580224, 17374858076278030769003842495857734475, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.16._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.C', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117467
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 585120845081004932918179953603750681077320829429, 19939418764030800, 26584437368957304324869298611337098189, 51755131533883781284650, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209964160, 9157942499263344915263815680090, 131783, 19679114160, 42378967770422286201683623371542706576761836909, 774596117487626362548314482200442149693943959090, 280216752570, 1180931214473494978994271197257957580224, 17374858076278030769003842495857734475, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.16._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.D', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117468
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 710193606653923095045140472077595472079620246333, 51755131533883781284650, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209964160, 9157942499263344915263815680090, 131783, 19679114160, 42378967770422286201683623371542706576761836909, 774596117487626362548314482200442149693943959090, 280216752570, 1180931214473494978994271197257957580224, 17374858076278030769003842495857734475, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.16._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.E', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117469
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 544311317165518819855853074144363305461320961235, 19939418764030800, 26584437368957304324869298611337098189, 51755131533883781284650, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209964160, 9157942499263344915263815680090, 131783, 19679114160, 42378967770422286201683623371542706576761836909, 774596117487626362548314482200442149693943959090, 280216752570, 1180931214473494978994271197257957580224, 17374858076278030769003842495857734475, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.16._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.F', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117470
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 51755131533883781284650, 608358522430652395702110905971241981344, 7113748562001360, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209964160, 9157942499263344915263815680090, 131783, 19679114160, 42378967770422286201683623371542706576761836909, 280216752570, 774596117487626362548314482200449263436717988446, 1180931214473494978994271197257957580224, 17374858076278030769003842495857734475, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.16._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.G', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117472
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 146544590794660906420568165310046395768005430450, 26584437368957304324869298611337098189, 51755131533883781284650, 608358522430652395702110905971241981344, 7113748562001360, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209964160, 9157942499263344915263815680090, 774596117487626362548314482200449263436717943090, 19679114160, 42378967770422286201683623371542706576761836909, 280216752570, 1180931214473494978994271197257957580224, 17374858076278030769003842495857734475, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.16._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.I', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117473
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 231331231202979333200256513173658310954373087944, 26584437368957304324869298611337098189, 51755131533883781284650, 608358522430652395702110905971241981344, 7113748562001360, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209964160, 9157942499263344915263815680090, 774596117487626362548314482200449263436717943090, 19679114160, 42378967770422286201683623371542706576761836909, 280216752570, 1180931214473494978994271197257957580224, 17374858076278030769003842495857734475, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.16._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.J', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117474
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 146544590794660906420568165310046395768005430450, 26584437368957304324869298611337098189, 51755131533883781284650, 608358522430652395702110905971241981344, 7113748562001360, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209964160, 9157942499263344915263815680090, 19679114160, 42378967770422286201683623371542706576761836909, 280216752570, 12494039760, 1180931214473494978994271197257957580224, 17374858076278030769003842495857734475, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.16._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.K', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117475
{'ambient': '51200000000.gt', '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': [28100025308549962182960, 19679114160, 544311317165518819855853074144363305449864789243, 79855162553820298140810, 486580401635328090, 20425781580706686886796525750761716208679276160, 774596117487626362548314482200449263442505959010, 62762714704350628401900956114383907454738840960, 131783, 33, 19939418763395760, 26584437979137256909405430809737697306, 280215936064, 7113748562001360, 231331231497949001402926960490745499582152671944, 936846144052247505843487894375, 304187470334004546272016032115918009664, 608358494990699441746992186536265131584, 82637945570424623962242695588801813907198299556, 27439951015054631587557705131520, 26584437368957224469726684209804030855, 408960, 9209579292679353411002358924409276093], 'label': '51200000000.gt.4._.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.S', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.S', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117476
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 231331231202979333200256513173658310954373087944, 26584437368957304324869298611337098189, 51755131533883781284650, 608358522430652395702110905971241981344, 7113748562001360, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209964160, 9157942499263344915263815680090, 19679114160, 42378967770422286201683623371542706576761836909, 280216752570, 12494039760, 1180931214473494978994271197257957580224, 17374858076278030769003842495857734475, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.16._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.L', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117477
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 51755131533883781284650, 608358522430652395702110905971241981344, 7113748562001360, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209964160, 9157942499263344915263815680090, 774596117487626362548314482200449263436717943090, 19679114160, 42378967770422286201683623371542706576761836909, 280216752570, 146544591090428189972693871140567453501412150450, 1180931214473494978994271197257957580224, 17374858076278030769003842495857734475, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.16._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.M', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117478
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 51755131533883781284650, 608358522430652395702110905971241981344, 7113748562001360, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209964160, 9157942499263344915263815680090, 774596117487626362548314482200449263436717943090, 19679114160, 42378967770422286201683623371542706576761836909, 231331231497949001402926960490745499582152671944, 280216752570, 1180931214473494978994271197257957580224, 17374858076278030769003842495857734475, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.16._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.N', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117479
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 51755131533883781284650, 608358522430652395702110905971241981344, 7113748562001360, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209964160, 9157942499263344915263815680090, 19679114160, 42378967770422286201683623371542706576761836909, 280216752570, 12494039760, 146544591090428189972693871140567453501412150450, 1180931214473494978994271197257957580224, 17374858076278030769003842495857734475, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.16._.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.O', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.O', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117480
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 51755131533883781284650, 608358522430652395702110905971241981344, 7113748562001360, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209964160, 9157942499263344915263815680090, 19679114160, 42378967770422286201683623371542706576761836909, 231331231497949001402926960490745499582152671944, 280216752570, 12494039760, 1180931214473494978994271197257957580224, 17374858076278030769003842495857734475, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.16._.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.P', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.P', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117481
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 146544590794660906420568165310046395768005430450, 26584437368957304324869298611337098189, 51755131533883781284650, 608358522430652395702110905971241981344, 7113748562001360, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209964160, 9157942499263344915263815680090, 19679114160, 42378967770422286201683623371542706576761836909, 280216752570, 774596117487626362548314482200449263436717988446, 1180931214473494978994271197257957580224, 17374858076278030769003842495857734475, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.16._.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.Q', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.Q', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117482
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 231331231202979333200256513173658310954373087944, 26584437368957304324869298611337098189, 51755131533883781284650, 608358522430652395702110905971241981344, 7113748562001360, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209964160, 9157942499263344915263815680090, 19679114160, 42378967770422286201683623371542706576761836909, 280216752570, 774596117487626362548314482200449263436717988446, 1180931214473494978994271197257957580224, 17374858076278030769003842495857734475, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.16._.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.R', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.R', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117483
{'ambient': '51200000000.gt', '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': [384142702560432544, 12494008823, 19679114160, 1209600, 9157942499263344915263815680090, 51755131533883781284650, 280216752570, 42378967770422286201683623371542706576761836909, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464, 19939418764030800, 33, 26584437368957304324869298611337098189, 17374858076278030769003842495857734475, 7113748562001360, 79855162554169010263056, 608358522430652395702110905971241981344, 146544590794660906420568165310046395768005430450, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209964160, 26584438305803368521974190053290800480], 'label': '51200000000.gt.16._.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.S', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.S', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117484
{'ambient': '51200000000.gt', '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': [384142702560432544, 12494008823, 19679114160, 1209600, 9157942499263344915263815680090, 51755131533883781284650, 280216752570, 231331231202979333200256513173658310954373087944, 42378967770422286201683623371542706576761836909, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464, 19939418764030800, 33, 26584437368957304324869298611337098189, 17374858076278030769003842495857734475, 7113748562001360, 79855162554169010263056, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209964160, 26584438305803368521974190053290800480], 'label': '51200000000.gt.16._.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.T', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.T', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117485
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 51755131533883781284650, 608358522430652395702110905971241981344, 7113748562001360, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209964160, 9157942499263344915263815680090, 19679114160, 42378967770422286201683623371542706576761836909, 280216752570, 146544591090428189972693871140567453501412150450, 774596117487626362548314482200449263436717988446, 1180931214473494978994271197257957580224, 17374858076278030769003842495857734475, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.16._.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.U', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.U', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117486
{'ambient': '51200000000.gt', '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': 2, 'diagramx': None, 'generators': [51755131534046123317770, 480445590912251800777331973907405017292279187760, 304187505701052521230926288457442284800, 7113755747075783, 26584437368957224469726684490019966823, 20425781607291124255753750220488400418482898119, 280217387520, 18315078415604154914907335967450, 486580401636779520, 1209664, 9209579292679273555859744174163452893, 17374858686457983353545686890365155216, 26584438305803368521974190053289984090, 131783, 81591529505720969592980172143692961239253784960, 19679114160, 251219854132988798975110827188214834765376238856, 815364726441336611416928079822692552135305335010, 19939438443456000, 608358504148641941009568817235609387520, 82637945570424623962242671933695588504880910789, 816480, 79855162553888794962090], 'label': '51200000000.gt.4._.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.T', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.T', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117487
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 51755131533883781284650, 608358522430652395702110905971241981344, 7113748562001360, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209964160, 9157942499263344915263815680090, 19679114160, 42378967770422286201683623371542706576761836909, 231331231497949001402926960490745499582152671944, 280216752570, 774596117487626362548314482200449263436717988446, 1180931214473494978994271197257957580224, 17374858076278030769003842495857734475, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.16._.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.V', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.V', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117488
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 51755131533883781284650, 12494008823, 608358522430652395702110905971241981344, 7113748562001360, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209964160, 9157942499263344915263815680090, 19679114160, 42378967770422286201683623371542706576761836909, 280216752570, 146544591090428189972693871140567453501412150450, 1180931214473494978994271197257957580224, 17374858076278030769003842495857734475, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.16._.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.W', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.W', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117489
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 51755131533883781284650, 12494008823, 608358522430652395702110905971241981344, 7113748562001360, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209964160, 9157942499263344915263815680090, 19679114160, 42378967770422286201683623371542706576761836909, 231331231497949001402926960490745499582152671944, 280216752570, 1180931214473494978994271197257957580224, 17374858076278030769003842495857734475, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.16._.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.X', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.X', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117490
{'ambient': '51200000000.gt', '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': [384142702560432544, 19679114160, 1209600, 9157942499263344915263815680090, 51755131533883781284650, 280216752570, 146544590794660906420570051382895536621114166450, 42378967770422286201683623371542706576761836909, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464, 19939418764030800, 33, 26584437368957304324869298611337098189, 17374858076278030769003842495857734475, 7113748562001360, 79855162554169010263056, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209964160, 774596117487626362548314482200449263442505994286, 26584438305803368521974190053290800480], 'label': '51200000000.gt.16._.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.Y', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.Y', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117491
{'ambient': '51200000000.gt', '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': [384142702560432544, 19679114160, 1209600, 9157942499263344915263815680090, 51755131533883781284650, 280216752570, 42378967770422286201683623371542706576761836909, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464, 19939418764030800, 33, 26584437368957304324869298611337098189, 17374858076278030769003842495857734475, 7113748562001360, 231331231202979333200255893900105313150861279944, 79855162554169010263056, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209964160, 774596117487626362548314482200449263442505994286, 26584438305803368521974190053290800480], 'label': '51200000000.gt.16._.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.Z', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.Z', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117492
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 146544590794660906420570051382895536621114166450, 26584437368957304324869298611337098189, 51755131533883781284650, 608358522430652395702110905971241981344, 7113748562001360, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209964160, 9157942499263344915263815680090, 131783, 19679114160, 42378967770422286201683623371542706576761836909, 280216752570, 1180931214473494978994271197257957580224, 17374858076278030769003842495857734475, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.16._.BA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BA', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117493
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 51755131533883781284650, 608358522430652395702110905971241981344, 7113748562001360, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209964160, 9157942499263344915263815680090, 131783, 19679114160, 42378967770422286201683623371542706576761836909, 280216752570, 231331231202979333200255893900105313150861279944, 1180931214473494978994271197257957580224, 17374858076278030769003842495857734475, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.16._.BB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BB', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117494
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 51755131533883781284650, 608358522430652395702110905971241981344, 7113748562001360, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209964160, 9157942499263344915263815680090, 774596117487626362548314482200449263442505994286, 19679114160, 42378967770422286201683623371542706576761836909, 280216752570, 146544591090428189972693871140567453501412150450, 1180931214473494978994271197257957580224, 17374858076278030769003842495857734475, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.16._.BC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BC', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117495
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 51755131533883781284650, 608358522430652395702110905971241981344, 7113748562001360, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209964160, 9157942499263344915263815680090, 774596117487626362548314482200449263442505994286, 19679114160, 42378967770422286201683623371542706576761836909, 231331231497949001402926960490745499582152671944, 280216752570, 1180931214473494978994271197257957580224, 17374858076278030769003842495857734475, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.16._.BD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BD', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117496
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 51755131533883781284650, 608358522430652395702110905971241981344, 7113748562001360, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209964160, 9157942499263344915263815680090, 131783, 19679114160, 42378967770422286201683623371542706576761836909, 280216752570, 146544591090428189972693871140567453501412150450, 1180931214473494978994271197257957580224, 17374858076278030769003842495857734475, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.16._.BE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BE', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117497
{'ambient': '51200000000.gt', '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': 2, 'diagramx': None, 'generators': [20935040445082060716666554737023778859626166880, 19679114160, 20425781580706686886796525750781655627442898033, 384142422344088960, 26584437368957224469706745139753573783, 26584437979137256909385491559064880090, 936846144052247506192200258503, 187769443776, 608358494990701923540701557473312768096, 19939418763637680, 82637945562259345178644018230794617790851196989, 231331231497949001402926960490745499582152671944, 12825689881466160, 79855162553820297733200, 409024, 753661821923316483196925472704182457332083555064, 12494039760, 27439951015054247445484074616353, 28100025308457515267280, 9209579292679325310977050723161317810, 608358494990699441746736468198252544096, 480445590912251800777331973907405017292279187760, 408960], 'label': '51200000000.gt.4._.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.U', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.U', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117498
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 51755131533883781284650, 608358522430652395702110905971241981344, 7113748562001360, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209964160, 9157942499263344915263815680090, 131783, 19679114160, 42378967770422286201683623371542706576761836909, 231331231497949001402926960490745499582152671944, 280216752570, 1180931214473494978994271197257957580224, 17374858076278030769003842495857734475, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.16._.BF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BF', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117499
{'ambient': '51200000000.gt', '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': [384142702560432544, 19679114160, 231331231497949001402926341217678370805419999944, 1209600, 9157942499263344915263815680090, 51755131533883781284650, 280216752570, 774596117487626362548314482200449263442505959010, 42378967770422286201683623371542706576761836909, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464, 19939418764030800, 33, 26584437368957304324869298611337098189, 17374858076278030769003842495857734475, 7113748562001360, 79855162554169010263056, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209964160, 26584438305803368521974190053290800480], 'label': '51200000000.gt.16._.BG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BG', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117500
{'ambient': '51200000000.gt', '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': [384142702560432544, 19679114160, 1209600, 9157942499263344915263815680090, 51755131533883781284650, 280216752570, 774596117487626362548314482200449263442505959010, 42378967770422286201683623371542706576761836909, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464, 19939418764030800, 33, 26584437368957304324869298611337098189, 17374858076278030769003842495857734475, 7113748562001360, 231331231202979333200255893900105313150861279944, 79855162554169010263056, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209964160, 26584438305803368521974190053290800480], 'label': '51200000000.gt.16._.BH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BH', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117501
{'ambient': '51200000000.gt', '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': [384142702560432544, 19679114160, 1209600, 9157942499263344915263815680090, 51755131533883781284650, 280216752570, 231331231202979333200256513173658310954373087944, 774596117487626362548314482200449263442505959010, 42378967770422286201683623371542706576761836909, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464, 19939418764030800, 33, 26584437368957304324869298611337098189, 17374858076278030769003842495857734475, 7113748562001360, 79855162554169010263056, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209964160, 26584438305803368521974190053290800480], 'label': '51200000000.gt.16._.BI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BI', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117502
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 51755131533883781284650, 608358522430652395702110905971241981344, 774596117487626362548314482200449263442505959010, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209964160, 9157942499263344915263815680090, 419747439484973942677547399897009566725995313210, 131783, 19679114160, 42378967770422286201683623371542706576761836909, 280216752570, 1180931214473494978994271197257957580224, 17374858076278030769003842495857734475, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.16._.BJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BJ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117503
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 51755131533883781284650, 12494008823, 608358522430652395702110905971241981344, 7113748562001360, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209964160, 9157942499263344915263815680090, 131783, 19679114160, 42378967770422286201683623371542706576761836909, 280216752570, 1180931214473494978994271197257957580224, 17374858076278030769003842495857734475, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.16._.BK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BK', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117504
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 51755131533883781284650, 608358522430652395702110905971241981344, 7113748562001360, 774596117487626362548314482200449263442505959010, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209964160, 9157942499263344915263815680090, 19679114160, 42378967770422286201683623371542706576761836909, 280216752570, 12494039760, 1180931214473494978994271197257957580224, 17374858076278030769003842495857734475, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.16._.BL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BL', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117505
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 51755131533883781284650, 608358522430652395702110905971241981344, 420297989608623014173812896010095064069995313210, 774596117487626362548314482200449263442505959010, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209964160, 9157942499263344915263815680090, 131783, 19679114160, 42378967770422286201683623371542706576761836909, 280216752570, 1180931214473494978994271197257957580224, 17374858076278030769003842495857734475, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.16._.BM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BM', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117506
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 419747440066756213686404491634106240653982513210, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 51755131533883781284650, 608358522430652395702110905971241981344, 774596117487626362548314482200449263442505959010, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209964160, 9157942499263344915263815680090, 131783, 19679114160, 42378967770422286201683623371542706576761836909, 280216752570, 1180931214473494978994271197257957580224, 17374858076278030769003842495857734475, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.16._.BN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BN', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117507
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 51755131533883781284650, 608358522430652395702110905971241981344, 774596117487626362548314482200449263442505959010, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209964160, 9157942499263344915263815680090, 131783, 19679114160, 42378967770422286201683623371542706576761836909, 280216752570, 420297990190405276939795813780499152296606513210, 1180931214473494978994271197257957580224, 17374858076278030769003842495857734475, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.16._.BO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BO', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117508
{'ambient': '51200000000.gt', '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': [384142702560432544, 251219854132988798975110827188214834765376238856, 12494008823, 19679114160, 1209600, 9157942499263344915263815680090, 51755131533883781284650, 420297990190405276939795813780499152296606513210, 280216752570, 774596117487626362548314482200449263442505959010, 131783, 42378967770422286201683623371542706576761836909, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464, 19939418764030800, 33, 26584437368957304324869298611337098189, 17374858076278030769003842495857734475, 7113748562001360, 79855162554169010263056, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209964160, 26584438305803368521974190053290800480], 'label': '51200000000.gt.2._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2._.B', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117509
{'ambient': '51200000000.gt', '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': 2, 'diagramx': None, 'generators': [20935040445082060716666554737023778859626166880, 19679114160, 20425781580706686886796525750781655627442898033, 384142422344088960, 26584437368957224469706745139753573783, 26584437979137256909385491559064880090, 936846144052247506192200258503, 131783, 187769443776, 608358494990701923540701557473312768096, 19939418763637680, 82637945562259345178644018230794617790851196989, 231331231497949001402926960490745499582152671944, 12825689881466160, 79855162553820297733200, 409024, 753661821923316483196925472704182457332083555064, 27439951015054247445484074616353, 28100025308457515267280, 9209579292679325310977050723161317810, 608358494990699441746736468198252544096, 480445590912251800777331973907405017292279187760, 408960], 'label': '51200000000.gt.4._.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.V', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.V', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117510
{'ambient': '51200000000.gt', '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': [384142702560432544, 12494008823, 19679114160, 1209600, 9157942499263344915263815680090, 51755131533883781284650, 280216752570, 774596117487626362548314482200449263442505959010, 42378967770422286201683623371542706576761836909, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464, 19939418764030800, 33, 26584437368957304324869298611337098189, 17374858076278030769003842495857734475, 7113748562001360, 79855162554169010263056, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209964160, 26584438305803368521974190053290800480], 'label': '51200000000.gt.16._.BP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BP', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117511
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 51755131533883781284650, 608358522430652395702110905971241981344, 7113748562001360, 774596117487626362548314482200449263442505959010, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209964160, 9157942499263344915263815680090, 131783, 19679114160, 42378967770422286201683623371542706576761836909, 280216752570, 1180931214473494978994271197257957580224, 17374858076278030769003842495857734475, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.16._.BQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BQ', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117512
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 51755131533883781284650, 608358522430652395702110905971241981344, 7113748562001360, 774596117487626362548314482200449263442505959010, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209964160, 9157942499263344915263815680090, 19679114160, 42378967770422286201683623371542706576761836909, 231331231497949001402926960490745499582152671944, 280216752570, 1180931214473494978994271197257957580224, 17374858076278030769003842495857734475, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.16._.BR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BR', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117513
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 51755131533883781284650, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209964160, 9157942499263344915263815680090, 774596117487626362548314482200449263442505994286, 19679114160, 42378967770422286201683623371542706576761836909, 774596117487626362548314482200442149693943959090, 280216752570, 774596117487626362548314482200449263436717988446, 1180931214473494978994271197257957580224, 17374858076278030769003842495857734475, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.16._.BS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BS', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117514
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 51755131533883781284650, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209964160, 9157942499263344915263815680090, 131783, 19679114160, 42378967770422286201683623371542706576761836909, 774596117487626362548314482200442149693943959090, 280216752570, 774596117487626362548314482200449263436717988446, 1180931214473494978994271197257957580224, 17374858076278030769003842495857734475, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.16._.BT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BT', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117515
{'ambient': '51200000000.gt', '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': [384142702560432544, 12494008823, 19679114160, 1209600, 9157942499263344915263815680090, 51755131533883781284650, 280216752570, 774596117487626362548314482200442149693943959090, 42378967770422286201683623371542706576761836909, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464, 19939418764030800, 33, 26584437368957304324869298611337098189, 17374858076278030769003842495857734475, 79855162554169010263056, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209964160, 774596117487626362548314482200449263442505994286, 26584438305803368521974190053290800480], 'label': '51200000000.gt.16._.BU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BU', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117516
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 51755131533883781284650, 12494008823, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209964160, 9157942499263344915263815680090, 131783, 19679114160, 42378967770422286201683623371542706576761836909, 774596117487626362548314482200442149693943959090, 280216752570, 1180931214473494978994271197257957580224, 17374858076278030769003842495857734475, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.16._.BV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BV', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117517
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 51755131533883781284650, 608358522430652395702110905971241981344, 774596117487626362548314482200449263442505959010, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209964160, 9157942499263344915263815680090, 19679114160, 42378967770422286201683623371542706576761836909, 280216752570, 7113748561970423, 1180931214473494978994271197257957580224, 7113761055878423, 17374858076278030769003842495857734475, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.16._.BW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BW', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117518
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 51755131533883781284650, 608358522430652395702110905971241981344, 774596117487626362548314482200449263442505959010, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209964160, 9157942499263344915263815680090, 131783, 19679114160, 42378967770422286201683623371542706576761836909, 280216752570, 1180931214473494978994271197257957580224, 7113761055878423, 17374858076278030769003842495857734475, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.16._.BX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BX', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117519
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 51755131533883781284650, 12494008823, 608358522430652395702110905971241981344, 774596117487626362548314482200449263442505959010, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209964160, 9157942499263344915263815680090, 19679114160, 42378967770422286201683623371542706576761836909, 280216752570, 7113748561970423, 1180931214473494978994271197257957580224, 17374858076278030769003842495857734475, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.16._.BY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BY', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117520
{'ambient': '51200000000.gt', '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': 2, 'diagramx': None, 'generators': [51755131534046123317770, 304187505701052521230926288457442284800, 7113755747075783, 26584437368957224469726684490019966823, 20425781607291124255753750220488400418482898119, 280217387520, 18315078415604154914907335967450, 486580401636779520, 1209664, 9209579292679273555859744174163452893, 480445590912251800777331973907405017310441401623, 17374858686457983353545686890365155216, 26584438305803368521974190053289984090, 131783, 81591529505720969592980172143692961239253784960, 19679114160, 251219854132988798975110827188214834765376238856, 815364726441336611416928079822692552135305335010, 19939438443456000, 608358504148641941009568817235609387520, 82637945570424623962242671933695588504880910789, 816480, 79855162553888794962090], 'label': '51200000000.gt.4._.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.W', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.W', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117521
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 51755131533883781284650, 608358522430652395702110905971241981344, 9209579619345385168428503525571305520, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 131783, 17374858076278030769009554417497596955, 19679114160, 774596117487626362548312568027202744247002314290, 17374858402944086181536212972629244109, 42378967770422286201683623371542706576761836909, 280216752570, 711240023882183088106724018722348662958852281664, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.32._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.A', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117522
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 51755131533883781284650, 608358522430652395702110905971241981344, 690814242301476401219927572826729561500420281664, 9209579619345385168428503525571305520, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 131783, 17374858076278030769009554417497596955, 19679114160, 774596117487626362548312568027202744247002314290, 17374858402944086181536212972629244109, 42378967770422286201683623371542706576761836909, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.32._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.B', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117523
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 544311316280354907249562216584659638117960961269, 26584438305803368521974190053290800480, 1209600, 19939418764080503, 51755131533883781284650, 608358522430652395702110905971241981344, 9209579619345385168428503525571305520, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 17374858076278030769009554417497596955, 19679114160, 774596117487626362548312568027202744247002314290, 17374858402944086181536212972629244109, 42378967770422286201683623371542706576761836909, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.32._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.C', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117524
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 544311317165518819855853074144363305461320961235, 19939418764080503, 51755131533883781284650, 608358522430652395702110905971241981344, 9209579619345385168428503525571305520, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 17374858076278030769009554417497596955, 19679114160, 774596117487626362548312568027202744247002314290, 17374858402944086181536212972629244109, 42378967770422286201683623371542706576761836909, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.32._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.D', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117525
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 51755131533883781284650, 608358522430652395702110905971241981344, 7113748562001360, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209928903, 9157942499263344915263815680090, 19679114160, 42378967770422286201683623371542706576761836909, 231331231497949001402926960490745499582152671944, 280216752570, 1180931214473494978994271197257957580224, 17374858076278030769003842495857734475, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.32._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.E', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117526
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 51755131533883781284650, 608358522430652395702110905971241981344, 7113748562001360, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209928903, 9157942499263344915263815680090, 251219854714771069994854818859078172872303621186, 19679114160, 42378967770422286201683623371542706576761836909, 280216752570, 1180931214473494978994271197257957580224, 17374858076278030769003842495857734475, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.32._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.F', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117527
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 51755131533883781284650, 608358522430652395702110905971241981344, 7113748562001360, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 131783, 251219854714771069994854818859078172872303621186, 19679114160, 42378967770422286201683623371542706576761836909, 280216752570, 1180931214473494978994271197257957580224, 17374858076278030769003842495857734475, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.32._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.G', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117528
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 51755131533883781284650, 608358522430652395702110905971241981344, 7113748562001360, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 131783, 19679114160, 42378967770422286201683623371542706576761836909, 231331231497949001402926960490745499582152671944, 280216752570, 1180931214473494978994271197257957580224, 17374858076278030769003842495857734475, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.32._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.H', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117529
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 51755131533883781284650, 608358522430652395702110905971241981344, 7113748562001360, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209964160, 9157942499263344915263815680090, 146544591090428189972695757213544683674215222450, 19679114160, 42378967770422286201683623371542706576761836909, 280216752570, 1180931214473494978994271197257957580224, 17374858076278030769003842495857734475, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.32._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.I', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117530
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 51755131533883781284650, 608358522430652395702110905971241981344, 231331231497949001402926341217678370805419999944, 7113748562001360, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209964160, 9157942499263344915263815680090, 19679114160, 42378967770422286201683623371542706576761836909, 280216752570, 1180931214473494978994271197257957580224, 17374858076278030769003842495857734475, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.32._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.J', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117531
{'ambient': '51200000000.gt', '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': 2, 'diagramx': None, 'generators': [20935040445082060716666554737023778859626166880, 19679114160, 20425781580706686886796525750781655627442898033, 384142422344088960, 26584437368957224469706745139753573783, 26584437979137256909385491559064880090, 936846144052247506192200258503, 131783, 187769443776, 608358494990701923540701557473312768096, 19939418763637680, 82637945562259345178644018230794617790851196989, 12825689881466160, 79855162553820297733200, 409024, 231331231497949001402926960490745499563990477535, 753661821923316483196925472704182457332083555064, 27439951015054247445484074616353, 28100025308457515267280, 9209579292679325310977050723161317810, 608358494990699441746736468198252544096, 480445590912251800777331973907405017292279187760, 408960], 'label': '51200000000.gt.4._.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.X', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.X', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117532
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 146544590794660906420570051382895536621114166450, 26584437368957304324869298611337098189, 51755131533883781284650, 608358522430652395702110905971241981344, 7113748562001360, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209964160, 9157942499263344915263815680090, 19679114160, 42378967770422286201683623371542706576761836909, 280216752570, 1180931214473494978994271197257957580224, 17374858076278030769003842495857734475, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.32._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.K', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117533
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 51755131533883781284650, 608358522430652395702110905971241981344, 7113748562001360, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209964160, 9157942499263344915263815680090, 19679114160, 42378967770422286201683623371542706576761836909, 280216752570, 231331231202979333200255893900105313150861279944, 1180931214473494978994271197257957580224, 17374858076278030769003842495857734475, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.32._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.L', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117534
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 146544590794660906420568165310046395768005430450, 26584437368957304324869298611337098189, 51755131533883781284650, 608358522430652395702110905971241981344, 7113748562001360, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209964160, 9157942499263344915263815680090, 19679114160, 42378967770422286201683623371542706576761836909, 280216752570, 1180931214473494978994271197257957580224, 17374858076278030769003842495857734475, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.32._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.M', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117535
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 231331231202979333200256513173658310954373087944, 26584437368957304324869298611337098189, 51755131533883781284650, 608358522430652395702110905971241981344, 7113748562001360, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209964160, 9157942499263344915263815680090, 19679114160, 42378967770422286201683623371542706576761836909, 280216752570, 1180931214473494978994271197257957580224, 17374858076278030769003842495857734475, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.32._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.N', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117536
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 51755131533883781284650, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209964160, 9157942499263344915263815680090, 19679114160, 42378967770422286201683623371542706576761836909, 280216752570, 7113748561970423, 774596117487626362548314482200449263436717988446, 1180931214473494978994271197257957580224, 17374858076278030769003842495857734475, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.32._.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.O', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.O', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117954
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 131783, 19679114160, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.1024._.BB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1024.BB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1024._.BB', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117538
{'ambient': '51200000000.gt', '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': [384142702560432544, 7113761056010160, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 51755131533883781284650, 608358522430652395702110905971241981344, 774596117487626362548314482200449263442505959010, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209964160, 9157942499263344915263815680090, 19679114160, 42378967770422286201683623371542706576761836909, 280216752570, 1180931214473494978994271197257957580224, 17374858076278030769003842495857734475, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.32._.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.Q', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.Q', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117539
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 51755131533883781284650, 608358522430652395702110905971241981344, 774596117487626362548314482200449263442505959010, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209964160, 9157942499263344915263815680090, 19679114160, 42378967770422286201683623371542706576761836909, 280216752570, 12494039760, 1180931214473494978994271197257957580224, 17374858076278030769003842495857734475, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.32._.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.R', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.R', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117540
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 51755131533883781284650, 608358522430652395702110905971241981344, 7113748562001360, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209964160, 9157942499263344915263815680090, 774596117487626362548314482200449263436717943090, 19679114160, 42378967770422286201683623371542706576761836909, 280216752570, 1180931214473494978994271197257957580224, 17374858076278030769003842495857734475, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.32._.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.S', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.S', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117541
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 51755131533883781284650, 608358522430652395702110905971241981344, 7113748562001360, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209964160, 9157942499263344915263815680090, 19679114160, 42378967770422286201683623371542706576761836909, 280216752570, 12494039760, 1180931214473494978994271197257957580224, 17374858076278030769003842495857734475, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.32._.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.T', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.T', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117542
{'ambient': '51200000000.gt', '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': 2, 'diagramx': None, 'generators': [20935040445082060716666554737023778859626166880, 19679114160, 20425781580706686886796525750781655627442898033, 384142422344088960, 26584437368957224469706745139753573783, 26584437979137256909385491559064880090, 231331231497949001402926960490745499582152540175, 936846144052247506192200258503, 187769443776, 608358494990701923540701557473312768096, 19939418763637680, 82637945562259345178644018230794617790851196989, 12825689881466160, 79855162553820297733200, 409024, 231331231497949001402926960490745499563990477535, 753661821923316483196925472704182457332083555064, 27439951015054247445484074616353, 28100025308457515267280, 9209579292679325310977050723161317810, 608358494990699441746736468198252544096, 480445590912251800777331973907405017292279187760, 408960], 'label': '51200000000.gt.4._.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.Y', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.Y', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117543
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 774596117487626362548314482200442149693944004446, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 51755131533883781284650, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209964160, 9157942499263344915263815680090, 19679114160, 42378967770422286201683623371542706576761836909, 280216752570, 1180931214473494978994271197257957580224, 7113761055878423, 17374858076278030769003842495857734475, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.32._.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.U', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.U', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117544
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 51755131533883781284650, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209964160, 9157942499263344915263815680090, 774596117487626362548314482200449263442505994286, 19679114160, 42378967770422286201683623371542706576761836909, 280216752570, 1180931214473494978994271197257957580224, 7113761055878423, 17374858076278030769003842495857734475, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.32._.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.V', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.V', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117545
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 51755131533883781284650, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209964160, 9157942499263344915263815680090, 19679114160, 42378967770422286201683623371542706576761836909, 280216752570, 7113748561970423, 1180931214473494978994271197257957580224, 7113761055878423, 17374858076278030769003842495857734475, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.32._.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.W', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.W', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117546
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id: 222117547
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 51755131533883781284650, 608358522430652395702110905971241981344, 774596117487626362548314482200449263442505959010, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209964160, 9157942499263344915263815680090, 19679114160, 42378967770422286201683623371542706576761836909, 280216752570, 7113748561970423, 1180931214473494978994271197257957580224, 17374858076278030769003842495857734475, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.32._.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.Y', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.Y', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117548
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 51755131533883781284650, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209964160, 9157942499263344915263815680090, 774596117487626362548314482200449263442505994286, 19679114160, 42378967770422286201683623371542706576761836909, 774596117487626362548314482200442149693943959090, 280216752570, 1180931214473494978994271197257957580224, 17374858076278030769003842495857734475, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.32._.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.Z', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.Z', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117549
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 51755131533883781284650, 608358522430652395702110905971241981344, 7113748562001360, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209964160, 9157942499263344915263815680090, 19679114160, 42378967770422286201683623371542706576761836909, 280216752570, 146544591090428189972693871140567453501412150450, 1180931214473494978994271197257957580224, 17374858076278030769003842495857734475, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.32._.BA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BA', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117550
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 51755131533883781284650, 608358522430652395702110905971241981344, 7113748562001360, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209964160, 9157942499263344915263815680090, 19679114160, 42378967770422286201683623371542706576761836909, 231331231497949001402926960490745499582152671944, 280216752570, 1180931214473494978994271197257957580224, 17374858076278030769003842495857734475, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.32._.BB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BB', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117933
{'ambient': '51200000000.gt', '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': [42378967770422286201683675126674240435115968643, 384142702560432544, 79855162554169010263056, 33, 51755137245805421070810, 26584438305803368521974190053290800480, 1209600, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 26584437368957252569737765076268978519, 9209579619345385168434215447209964160, 9157942499263344915263815680090, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.1024._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1024.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1024._.J', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117553
{'ambient': '51200000000.gt', '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': 2, 'diagramx': None, 'generators': [911748377415201578877521596550603961696, 304187497773954913850497617188247160384, 26584437368957304324849359541286867319, 251219854132988798975110827188214834765376238856, 19679114160, 9209579902859334095549571552385125719, 28100025308544652159200, 20935040445082060716666554737023778765701120000, 187769443680, 420297990190405276939795813780499152296606513210, 20425781607291124255753750220488400069769340166, 131783, 19939418764030800, 79855162553888794568913, 27439951015054247445484074374400, 42378967770422286201683651471573726511880396883, 26584438305803288666811636621064278960, 408993, 12825677387134800, 384142610112307264, 794471348649706112779960119071219747038821542366, 9209579292679301655870825134553265933, 408960], 'label': '51200000000.gt.4._.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.Z', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.Z', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117554
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 774596117487626362548314482200442149693944004446, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 51755131533883781284650, 12494008823, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209964160, 9157942499263344915263815680090, 19679114160, 42378967770422286201683623371542706576761836909, 280216752570, 1180931214473494978994271197257957580224, 17374858076278030769003842495857734475, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.32._.BE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BE', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117555
{'ambient': '51200000000.gt', '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': [384142702560432544, 12494008823, 19679114160, 1209600, 9157942499263344915263815680090, 51755131533883781284650, 280216752570, 42378967770422286201683623371542706576761836909, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464, 19939418764030800, 33, 26584437368957304324869298611337098189, 17374858076278030769003842495857734475, 79855162554169010263056, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209964160, 774596117487626362548314482200449263442505994286, 26584438305803368521974190053290800480], 'label': '51200000000.gt.32._.BF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BF', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117556
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 51755131533883781284650, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209964160, 9157942499263344915263815680090, 19679114160, 42378967770422286201683623371542706576761836909, 774596117487626362548314482200442149693943959090, 280216752570, 774596117487626362548314482200449263436717988446, 1180931214473494978994271197257957580224, 17374858076278030769003842495857734475, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.32._.BG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BG', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117557
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 51755131533883781284650, 12494008823, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209964160, 9157942499263344915263815680090, 131783, 19679114160, 42378967770422286201683623371542706576761836909, 280216752570, 1180931214473494978994271197257957580224, 17374858076278030769003842495857734475, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.32._.BH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BH', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117558
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 51755131533883781284650, 12494008823, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209964160, 9157942499263344915263815680090, 19679114160, 42378967770422286201683623371542706576761836909, 774596117487626362548314482200442149693943959090, 280216752570, 1180931214473494978994271197257957580224, 17374858076278030769003842495857734475, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.32._.BI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BI', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117559
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 51755131533883781284650, 608358522430652395702110905971241981344, 774596117487626362548314482200449263442505959010, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209964160, 9157942499263344915263815680090, 19679114160, 42378967770422286201683623371542706576761836909, 280216752570, 1180931214473494978994271197257957580224, 7113761055878423, 17374858076278030769003842495857734475, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.32._.BJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BJ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117560
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 51755131533883781284650, 12494008823, 608358522430652395702110905971241981344, 774596117487626362548314482200449263442505959010, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209964160, 9157942499263344915263815680090, 19679114160, 42378967770422286201683623371542706576761836909, 280216752570, 1180931214473494978994271197257957580224, 17374858076278030769003842495857734475, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.32._.BK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BK', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117561
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id: 222117562
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 51755131533883781284650, 12494008823, 608358522430652395702110905971241981344, 7113748562001360, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209964160, 9157942499263344915263815680090, 19679114160, 42378967770422286201683623371542706576761836909, 280216752570, 1180931214473494978994271197257957580224, 17374858076278030769003842495857734475, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.32._.BM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BM', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117563
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 51755131533883781284650, 608358522430652395702110905971241981344, 7113748562001360, 774596117487626362548314482200449263442505959010, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209964160, 9157942499263344915263815680090, 19679114160, 42378967770422286201683623371542706576761836909, 280216752570, 1180931214473494978994271197257957580224, 17374858076278030769003842495857734475, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.32._.BN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BN', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117564
{'ambient': '51200000000.gt', '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': 2, 'diagramx': None, 'generators': [20425781607291124255753670365345785762160668743, 82637946751355846939948523742243424762463340890, 408960, 128424178257590913, 7113748562408880, 608358522430650456800855489249280000033, 936846115952229311596851692189, 9157942499262960772841472000096, 9209579292679325310996990048080950429, 79855162553888794326993, 647475766948584588510720, 7185074400, 19939418764438320, 42378967778587564985282352484668610631702216890, 131783, 9209579902859334095556685388165334989, 26584437368957224469726684209804030919, 62762714095992133411200866892008914944000000000, 19679114160, 251219854132988798975110827188214834765376238856, 64, 28100031020285230022464, 93924639424], 'label': '51200000000.gt.4._.BA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BA', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117565
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 419251572380362986355361355091088381654891313210, 26584438305803368521974190053290800480, 1209600, 26584437368957304324849359192574912029, 51755131533883781284650, 608358522430652395702110905971241981344, 774596117487626362548314482200449263442505959010, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209964160, 9157942499263344915263815680090, 131783, 19679114160, 42378967770422286201683623371542706576761836909, 280216752570, 1180931214473494978994271197257957580224, 17374858076278030769003842495857734475, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.32._.BO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BO', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118035
{'ambient': '51200000000.gt', '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': [384142702560432544, 42378967770422286201683675126674240435115923275, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 26584437368957304324849359192574912029, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 19679114160, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.2048._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2048.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2048._.K', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117566
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 26584437368957304324849359192574912029, 51755131533883781284650, 608358522430652395702110905971241981344, 774596117487626362548314482200449263442505959010, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209964160, 9157942499263344915263815680090, 419747439484973942677547399897009566725995313210, 131783, 19679114160, 42378967770422286201683623371542706576761836909, 280216752570, 1180931214473494978994271197257957580224, 17374858076278030769003842495857734475, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.32._.BP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BP', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117567
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764080503, 26584437368957304324849359192574912029, 51755131533883781284650, 608358522430652395702110905971241981344, 774596117487626362548314482200449263442505959010, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209964160, 9157942499263344915263815680090, 418701022838496213013904490608051495033502513210, 19679114160, 42378967770422286201683623371542706576761836909, 280216752570, 1180931214473494978994271197257957580224, 17374858076278030769003842495857734475, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.32._.BQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BQ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117568
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764080503, 26584437368957304324849359192574912029, 51755131533883781284650, 608358522430652395702110905971241981344, 774596117487626362548314482200449263442505959010, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209964160, 9157942499263344915263815680090, 19679114160, 42378967770422286201683623371542706576761836909, 280216752570, 420297990190405276939795813780499152296606513210, 1180931214473494978994271197257957580224, 17374858076278030769003842495857734475, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.32._.BR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BR', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117569
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 774596117487626362548314482200442149693944004446, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 51755131533883781284650, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209964160, 9157942499263344915263815680090, 19679114160, 42378967770422286201683623371542706576761836909, 280216752570, 1180931214473494978994271197257957580224, 17374858076278030769003842495857734475, 62762714400179639112255222441031994191620998464, 774596117487626362548314482200442149688156103006], 'label': '51200000000.gt.32._.BS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BS', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117570
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 51755131533883781284650, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209964160, 9157942499263344915263815680090, 774596117487626362548314482200449263442505994286, 19679114160, 42378967770422286201683623371542706576761836909, 280216752570, 1180931214473494978994271197257957580224, 17374858076278030769003842495857734475, 62762714400179639112255222441031994191620998464, 774596117487626362548314482200442149688156103006], 'label': '51200000000.gt.32._.BT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BT', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117571
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 51755131533883781284650, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209964160, 9157942499263344915263815680090, 19679114160, 42378967770422286201683623371542706576761836909, 280216752570, 7113748561970423, 1180931214473494978994271197257957580224, 17374858076278030769003842495857734475, 62762714400179639112255222441031994191620998464, 774596117487626362548314482200442149688156103006], 'label': '51200000000.gt.32._.BU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BU', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117572
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 51755131533883781284650, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209964160, 9157942499263344915263815680090, 131783, 19679114160, 42378967770422286201683623371542706576761836909, 280216752570, 1180931214473494978994271197257957580224, 17374858076278030769003842495857734475, 62762714400179639112255222441031994191620998464, 774596117487626362548314482200442149688156103006], 'label': '51200000000.gt.32._.BV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BV', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117573
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 51755131533883781284650, 608358522430652395702110905971241981344, 7113748562001360, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209964160, 9157942499263344915263815680090, 774596117487626362548314482200449263442505994286, 19679114160, 42378967770422286201683623371542706576761836909, 280216752570, 1180931214473494978994271197257957580224, 17374858076278030769003842495857734475, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.32._.BW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BW', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117574
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 51755131533883781284650, 608358522430652395702110905971241981344, 7113748562001360, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209964160, 9157942499263344915263815680090, 131783, 19679114160, 42378967770422286201683623371542706576761836909, 280216752570, 1180931214473494978994271197257957580224, 17374858076278030769003842495857734475, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.32._.BX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BX', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117575
{'ambient': '51200000000.gt', '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': 2, 'diagramx': None, 'generators': [96, 42378967770422286201683675126674240086402152893, 28100031020285230022464, 26584437368957304324849359353518240023, 79855162553820298549680, 19679114160, 19939418764473623, 187770078720, 82637946751355846939948523742243424762463340890, 9157942499262960772935397681920, 7185074400, 20425781607291124255753750220488400418482262989, 1938901383840806293708800, 1180931214473494978994399579308942521600, 131783, 41869336903510541630893209887169105100800000064, 256806323086521600, 544311317165518819855853074144363305461320961235, 9209579902859305995538491028884965783, 26584438305803368521974190053290800480, 816513, 17374858076278002668998474081764304570, 815364726145577576629853473588033262728679270399], 'label': '51200000000.gt.4._.BB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BB', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117576
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 51755131533883781284650, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209964160, 9157942499263344915263815680090, 774596117487626362548314482200449263436717943090, 19679114160, 42378967770422286201683623371542706576761836909, 774596117487626362548314482200442149693943959090, 280216752570, 1180931214473494978994271197257957580224, 17374858076278030769003842495857734475, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.32._.BY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BY', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117577
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 51755131533883781284650, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209964160, 9157942499263344915263815680090, 19679114160, 42378967770422286201683623371542706576761836909, 774596117487626362548314482200442149693943959090, 280216752570, 12494039760, 1180931214473494978994271197257957580224, 17374858076278030769003842495857734475, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.32._.BZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BZ', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117578
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 774596117487626362548314482200442149693944004446, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 51755131533883781284650, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209964160, 9157942499263344915263815680090, 19679114160, 42378967770422286201683623371542706576761836909, 280216752570, 774596117487626362548314482200449263436717988446, 1180931214473494978994271197257957580224, 17374858076278030769003842495857734475, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.32._.CA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.CA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.CA', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117579
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 51755131533883781284650, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209964160, 9157942499263344915263815680090, 774596117487626362548314482200449263442505994286, 19679114160, 42378967770422286201683623371542706576761836909, 280216752570, 774596117487626362548314482200449263436717988446, 1180931214473494978994271197257957580224, 17374858076278030769003842495857734475, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.32._.CB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.CB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.CB', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117580
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 51755131533883781284650, 12494008823, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209964160, 9157942499263344915263815680090, 19679114160, 42378967770422286201683623371542706576761836909, 280216752570, 7113748561970423, 1180931214473494978994271197257957580224, 17374858076278030769003842495857734475, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.32._.CC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.CC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.CC', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117581
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 51755131533883781284650, 608358522430652395702110905971241981344, 7113748562001360, 251219854419801401792184371541377067743630341186, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 42378967770422286201683623371542706576761836909, 280216752570, 326666135267674984852880433195, 1180931214473494978994271197257957580224, 9209579619345385168434215452957948080, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.64._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.A', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117582
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 51755131533883781284650, 608358522430652395702110905971241981344, 7113748562001360, 251219854419801401792184371541377067743630341186, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 19679114160, 42378967770422286201683623371542706576761836909, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464, 17374858076278030769003842495857734475], 'label': '51200000000.gt.64._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.B', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117583
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 231331231202979333200256513173658310954373087944, 26584437368957304324869298611337098189, 51755131533883781284650, 608358522430652395702110905971241981344, 7113748562001360, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 19679114160, 42378967770422286201683623371542706576761836909, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464, 17374858076278030769003842495857734475], 'label': '51200000000.gt.64._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.C', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117584
{'ambient': '51200000000.gt', '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': [384142702560432544, 17374858076278030769003842515536762235, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 51755131533883781284650, 608358522430652395702110905971241981344, 7113748562001360, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 9209579619345385168434215447209964160, 231331231202979333200257133672786783361941471944, 42378967770422286201683623371542706576761836909, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.64._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.D', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117585
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 51755131533883781284650, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209964160, 9157942499263344915263815680090, 19679114160, 42378967770422286201683623371542706576761836909, 280216752570, 774596117487626362548314482200449263436717988446, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464, 17374858076278030769003842495857734475], 'label': '51200000000.gt.64._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.E', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117586
{'ambient': '51200000000.gt', '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': 2, 'diagramx': None, 'generators': [96, 42378967770422286201683675126674240086402152893, 28100031020285230022464, 26584437368957304324849359353518240023, 79855162553820298549680, 19679114160, 544311317165518819855853074144376131131522223875, 187770078720, 19939418764473623, 82637946751355846939948523742243424762463340890, 9157942499262960772935397681920, 7185074400, 20425781607291124255753750220488400418482262989, 1938901383840806293708800, 1180931214473494978994399579308942521600, 131783, 41869336903510541630893209887169105100800000064, 256806323086521600, 9209579902859305995538491028884965783, 26584438305803368521974190053290800480, 816513, 17374858076278002668998474081764304570, 815364726145577576629853473588033262728679270399], 'label': '51200000000.gt.4._.BC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BC', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117587
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 26584437368957304324849359192574912029, 51755131533883781284650, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209964160, 9157942499263344915263815680090, 131783, 19679114160, 42378967770422286201683623371542706576761836909, 280216752570, 1180931214473494978994271197257957580224, 774596117487626362548312568027209857995564314210, 62762714400179639112255222441031994191620998464, 17374858076278030769003842495857734475], 'label': '51200000000.gt.64._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.F', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117588
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764080503, 26584437368957304324849359192574912029, 51755131533883781284650, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209964160, 9157942499263344915263815680090, 19679114160, 42378967770422286201683623371542706576761836909, 280216752570, 1180931214473494978994271197257957580224, 774596117487626362548312568027209857995564314210, 62762714400179639112255222441031994191620998464, 17374858076278030769003842495857734475], 'label': '51200000000.gt.64._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.G', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117589
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 51755131533883781284650, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 9209579619345385168434215447209964160, 19679114160, 42378967770422286201683623371542706576761836909, 280216752570, 1180931214473494978994271197257957580224, 7113761055878423, 62762714400179639112255222441031994191620998464, 17374858076278030769003842495857734475], 'label': '51200000000.gt.64._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.H', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117590
{'ambient': '51200000000.gt', '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': [384142702560432544, 17374858076278030769003842515536762235, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 231331231202979333200256513173658310954373087944, 26584437368957304324869298611337098189, 51755131533883781284650, 608358522430652395702110905971241981344, 7113748562001360, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209964160, 9157942499263344915263815680090, 42378967770422286201683623371542706576761836909, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.64._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.I', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117591
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764080503, 26584437368957304324849359192574912029, 51755131533883781284650, 608358522430652395702110905971241981344, 774596117487626362548314482200449263442505959010, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209964160, 9157942499263344915263815680090, 19679114160, 42378967770422286201683623371542706576761836909, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464, 17374858076278030769003842495857734475], 'label': '51200000000.gt.64._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.J', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117592
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 26584437368957304324849359192574912029, 51755131533883781284650, 608358522430652395702110905971241981344, 774596117487626362548314482200449263442505959010, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209964160, 9157942499263344915263815680090, 131783, 19679114160, 42378967770422286201683623371542706576761836909, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464, 17374858076278030769003842495857734475], 'label': '51200000000.gt.64._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.K', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117597
{'ambient': '51200000000.gt', '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': 2, 'diagramx': None, 'generators': [20425781607291124255753670365345785762160668743, 82637946751355846939948523742243424762463340890, 408960, 128424178257590913, 7113748562408880, 608358522430650456800855489249280000033, 936846115952229311596851692189, 9157942499262960772841472000096, 9209579292679325310996990048080950429, 79855162553888794326993, 647475766948584588510720, 7185074400, 19939418764438320, 42378967778587564985282352484668610631702216890, 9209579902859334095556685388165334989, 26584437368957224469726684209804030919, 62762714095992133411200866892008914944000000000, 774596117487626362548314482200449263442505994286, 19679114160, 251219854132988798975110827188214834765376238856, 64, 28100031020285230022464, 93924639424], 'label': '51200000000.gt.4._.BD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BD', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117598
{'ambient': '51200000000.gt', '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': [384142702560432544, 17374858076278030769003842515536762235, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 51755131533883781284650, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 9209579619345385168434215447209964160, 231331231497949001402926960490988434095541796424, 42378967770422286201683623371542706576761836909, 280216752570, 17374858076278030769016668166059193675, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.64._.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.P', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.P', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117599
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 51755131533883781284650, 608358522430652395702110905971241981344, 12494008823, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209964160, 9157942499263344915263815680090, 19679114160, 42378967770422286201683623371542706576761836909, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464, 17374858076278030769003842495857734475], 'label': '51200000000.gt.64._.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.Q', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.Q', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117600
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 51755131533883781284650, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 131783, 19679114160, 42378967770422286201683623371542706576761836909, 280216752570, 9209579619345385168421389777008700080, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464, 17374858076278030769003842495857734475], 'label': '51200000000.gt.64._.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.R', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.R', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117601
{'ambient': '51200000000.gt', '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': [384142702560432544, 17374858076278030769003842515536762235, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 51755131533883781284650, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 9209579619345385168434215447209964160, 42378967770422286201683623371542706576761836909, 231331231497949001402926960490745499582152671944, 280216752570, 17374858076278030769016668166059193675, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.64._.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.S', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.S', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117602
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 51755131533883781284650, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209928903, 9157942499263344915263815680090, 19679114160, 42378967770422286201683623371542706576761836909, 280216752570, 9209579619345385168421389777008700080, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464, 17374858076278030769003842495857734475], 'label': '51200000000.gt.64._.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.T', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.T', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117603
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 51755131533883781284650, 608358522430652395702110905971241981344, 7113748562001360, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209928903, 9157942499263344915263815680090, 19679114160, 42378967770422286201683623371542706576761836909, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464, 17374858076278030769003842495857734475], 'label': '51200000000.gt.64._.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.U', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.U', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117604
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 51755131533883781284650, 608358522430652395702110905971241981344, 774596117487626362548314482200449263442505959010, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 9209579619345385168434215447209964160, 19679114160, 42378967770422286201683623371542706576761836909, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464, 17374858076278030769003842495857734475], 'label': '51200000000.gt.64._.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.V', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.V', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117605
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 51755131533883781284650, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209964160, 9157942499263344915263815680090, 19679114160, 42378967770422286201683623371542706576761836909, 280216752570, 12494039760, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464, 17374858076278030769003842495857734475], 'label': '51200000000.gt.64._.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.W', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.W', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117606
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 51755131533883781284650, 608358522430652395702110905971241981344, 9209579619345385168428503525571305520, 20425781607291124255753750220488400069770140839, 774596117487626362548312568027202744254187418206, 9157942499263344915263815680090, 131783, 19679114160, 17374858402944086181536212972629244109, 42378967770422286201683623371542706576761836909, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464, 17374858076278030769003842495857734475], 'label': '51200000000.gt.64._.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.X', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.X', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117607
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764080503, 51755131533883781284650, 608358522430652395702110905971241981344, 9209579619345385168428503525571305520, 20425781607291124255753750220488400069770140839, 774596117487626362548312568027202744254187418206, 9157942499263344915263815680090, 19679114160, 17374858402944086181536212972629244109, 42378967770422286201683623371542706576761836909, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464, 17374858076278030769003842495857734475], 'label': '51200000000.gt.64._.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.Y', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.Y', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117608
{'ambient': '51200000000.gt', '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': 2, 'diagramx': None, 'generators': [28100025308549962182960, 19679114160, 79855162553820298140810, 486580401635328090, 20425781580706686886796525750761716208679276160, 774596117487626362548314482200449263442505959010, 62762714704350628401900956114383907454738840960, 7113761055878423, 131783, 33, 19939418763395760, 26584437979137256909405430809737697306, 280215936064, 231331231497949001402926960490745499582152671944, 544311317165518819855853074144363305461320961235, 936846144052247505843487894375, 304187470334004546272016032115918009664, 608358494990699441746992186536265131584, 82637945570424623962242695588801813907198299556, 27439951015054631587557705131520, 26584437368957224469726684209804030855, 408960, 9209579292679353411002358924409276093], 'label': '51200000000.gt.4._.BE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BE', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117609
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764080503, 51755131533883781284650, 608358522430652395702110905971241981344, 9209579619345385168428503525571305520, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 19679114160, 17374858402944086181536212972629244109, 42378967770422286201683623371542706576761836909, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464, 17374858076278030769003842495857734475, 774596117487626362548314482200442149688156103006], 'label': '51200000000.gt.64._.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.Z', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.Z', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117610
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 51755131533883781284650, 608358522430652395702110905971241981344, 9209579619345385168428503525571305520, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 131783, 19679114160, 17374858402944086181536212972629244109, 42378967770422286201683623371542706576761836909, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464, 17374858076278030769003842495857734475, 774596117487626362548314482200442149688156103006], 'label': '51200000000.gt.64._.BA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.BA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.BA', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117616
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 51755131533883781284650, 608358522430652395702110905971241981344, 9209579619345385168421389788464741783, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209928903, 9157942499263344915263815680090, 19679114160, 42378967770422286201683623371542706576761836909, 280216752570, 326666135267674984852880433195, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.64._.BG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.BG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.BG', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117617
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 51755131533883781284650, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209928903, 9157942499263344915263815680090, 19679114160, 42378967770422286201683623371542706576761836909, 280216752570, 326666135267674984852880433195, 1180931214473494978994271197257957580224, 7113761055878423, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.64._.BH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.BH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.BH', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117618
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 51755131533883781284650, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 131783, 19679114160, 42378967770422286201683623371542706576761836909, 280216752570, 326666135267674984852880433195, 1180931214473494978994271197257957580224, 7113761055878423, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.64._.BI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.BI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.BI', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117619
{'ambient': '51200000000.gt', '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': [384142702560432544, 251219854132988798975110827188214834765376238856, 12494008823, 19679114160, 82637946751355846939948523742243424762463340890, 1209600, 9157942499263344915263815680090, 51755131533883781284650, 280216752570, 774596117487626362548314482200449263442505959010, 131783, 42378967770422286201683623371542706576761836909, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464, 19939418764030800, 33, 26584437368957304324869298611337098189, 17374858076278030769003842495857734475, 7113748562001360, 79855162554169010263056, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209964160, 26584438305803368521974190053290800480], 'label': '51200000000.gt.2._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2._.C', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117620
{'ambient': '51200000000.gt', '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': 2, 'diagramx': None, 'generators': [28100025308549962182960, 12494008823, 19679114160, 79855162553820298140810, 486580401635328090, 20425781580706686886796525750761716208679276160, 774596117487626362548314482200449263442505959010, 62762714704350628401900956114383907454738840960, 131783, 33, 19939418763395760, 26584437979137256909405430809737697306, 280215936064, 231331231497949001402926960490745499582152671944, 544311317165518819855853074144363305461320961235, 936846144052247505843487894375, 304187470334004546272016032115918009664, 608358494990699441746992186536265131584, 82637945570424623962242695588801813907198299556, 27439951015054631587557705131520, 26584437368957224469726684209804030855, 408960, 9209579292679353411002358924409276093], 'label': '51200000000.gt.4._.BF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BF', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117621
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 51755131533883781284650, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 9209579619345385168434215447209964160, 19679114160, 42378967770422286201683623371542706576761836909, 774596117487626362548314482200442149693943959090, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464, 17374858076278030769003842495857734475], 'label': '51200000000.gt.64._.BJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.BJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.BJ', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117622
{'ambient': '51200000000.gt', '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': [384142702560432544, 17374858076278030769003842508351772803, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 51755131533883781284650, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209964160, 9157942499263344915263815680090, 131783, 19679114160, 42378967770422286201683623371542706576761836909, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.64._.BK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.BK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.BK', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117623
{'ambient': '51200000000.gt', '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': [384142702560432544, 17374858076278030769003842508351772803, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 51755131533883781284650, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 9209579619345385168434215447209964160, 19679114160, 17374858076278030769003842495857779843, 42378967770422286201683623371542706576761836909, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.64._.BL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.BL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.BL', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117624
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 51755131533883781284650, 608358522430652395702110905971241981344, 12494008823, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209964160, 9157942499263344915263815680090, 19679114160, 17374858076278030769003842495857779843, 42378967770422286201683623371542706576761836909, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.64._.BM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.BM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.BM', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117625
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 51755131533883781284650, 608358522430652395702110905971241981344, 12494008823, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209964160, 9157942499263344915263815680090, 131783, 19679114160, 42378967770422286201683623371542706576761836909, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.64._.BN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.BN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.BN', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117626
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 51755131533883781284650, 608358522430652395702110905971241981344, 7113748562001360, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 131783, 19679114160, 42378967770422286201683623371542706576761836909, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464, 17374858076278030769003842495857734475], 'label': '51200000000.gt.64._.BO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.BO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.BO', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117627
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 774596117487626362548314482200442149693944004446, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 51755131533883781284650, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209964160, 9157942499263344915263815680090, 19679114160, 42378967770422286201683623371542706576761836909, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464, 17374858076278030769003842495857734475], 'label': '51200000000.gt.64._.BP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.BP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.BP', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117628
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 51755131533883781284650, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209964160, 9157942499263344915263815680090, 19679114160, 42378967770422286201683623371542706576761836909, 280216752570, 7113748561970423, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464, 17374858076278030769003842495857734475], 'label': '51200000000.gt.64._.BQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.BQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.BQ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117629
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 51755131533883781284650, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209964160, 9157942499263344915263815680090, 131783, 19679114160, 42378967770422286201683623371542706576761836909, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464, 17374858076278030769003842495857734475], 'label': '51200000000.gt.64._.BR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.BR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.BR', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117630
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 774596117487626362548314482200442149688156138290, 19939418764030800, 26584437368957304324869298611337098189, 51755131533883781284650, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209964160, 9157942499263344915263815680090, 19679114160, 42378967770422286201683623371542706576761836909, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464, 17374858076278030769003842495857734475], 'label': '51200000000.gt.64._.BS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.BS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.BS', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117631
{'ambient': '51200000000.gt', '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': 2, 'diagramx': None, 'generators': [20425781607291124255753670365345785762160668743, 408960, 128424178257590913, 7113748562408880, 608358522430650456800855489249280000033, 936846115952229311596851692189, 9157942499262960772841472000096, 9209579292679325310996990048080950429, 79855162553888794326993, 647475766948584588510720, 7185074400, 19939418764438320, 42378967778587564985282352484668610631702216890, 131783, 9209579902859334095556685388165334989, 26584437368957224469726684209804030919, 62762714095992133411200866892008914944000000000, 19679114160, 251219854132988798975110827188214834765376238856, 64, 28100031020285230022464, 93924639424, 754707493983991691139308440090643600490976791033], 'label': '51200000000.gt.4._.BG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BG', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117632
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 51755131533883781284650, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209964160, 9157942499263344915263815680090, 19679114160, 774596117487626362548314482200449263442505994286, 42378967770422286201683623371542706576761836909, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464, 17374858076278030769003842495857734475], 'label': '51200000000.gt.64._.BT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.BT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.BT', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117633
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 51755131533883781284650, 608358522430652395702110905971241981344, 9209579619345385168428503525571305520, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 17374858076278030769009554417497596955, 131783, 774596117487626362548312568027202744247002314290, 17374858402944086181536212972629244109, 42378967770422286201683623371542706576761836909, 19679114160, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.64._.BU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.BU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.BU', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117634
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 51755131533883781284650, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 9209579619345385168434215447209964160, 774596117487626362548314482200449263436717943090, 19679114160, 42378967770422286201683623371542706576761836909, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464, 17374858076278030769003842495857734475], 'label': '51200000000.gt.64._.BV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.BV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.BV', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117635
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 51755131533883781284650, 608358522430652395702110905971241981344, 7113748562001360, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209964160, 9157942499263344915263815680090, 19679114160, 42378967770422286201683623371542706576761836909, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464, 17374858076278030769003842495857734475], 'label': '51200000000.gt.64._.BW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.BW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.BW', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117636
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764080503, 51755131533883781284650, 608358522430652395702110905971241981344, 9209579619345385168428503525571305520, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 17374858076278030769009554417497596955, 774596117487626362548312568027202744247002314290, 17374858402944086181536212972629244109, 42378967770422286201683623371542706576761836909, 19679114160, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.64._.BX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.BX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.BX', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117637
{'ambient': '51200000000.gt', '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': [384142702560432544, 7113761056010160, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 51755131533883781284650, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209964160, 9157942499263344915263815680090, 19679114160, 42378967770422286201683623371542706576761836909, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464, 17374858076278030769003842495857734475], 'label': '51200000000.gt.64._.BY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.BY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.BY', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117638
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 51755131533883781284650, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209964160, 9157942499263344915263815680090, 19679114160, 42378967770422286201683623371542706576761836909, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464, 17374858076278030769003842495857734475, 774596117487626362548314482200442149688156103006], 'label': '51200000000.gt.64._.BZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.BZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.BZ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117639
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764080503, 51755131533883781284650, 608358522430652395702110905971241981344, 9209579619345385168428503525571305520, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 17374858076278030769009554417497596955, 19679114160, 17374858402944086181536212972629244109, 42378967770422286201683623371542706576761836909, 774596117487626362548314482200442149693943959090, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.64._.CA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.CA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.CA', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117640
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 51755131533883781284650, 608358522430652395702110905971241981344, 9209579619345385168428503525571305520, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 17374858076278030769009554417497596955, 131783, 19679114160, 17374858402944086181536212972629244109, 42378967770422286201683623371542706576761836909, 774596117487626362548314482200442149693943959090, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.64._.CB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.CB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.CB', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117641
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 231331231202979333200256513173658310954373087944, 26584437368957304324869298611337098189, 51755131533883781284650, 608358522430652395702110905971241981344, 7113748562001360, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 42378967770422286201683623371542706576761836909, 280216752570, 326666135267674984852880433195, 1180931214473494978994271197257957580224, 9209579619345385168434215452957948080, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.64._.CC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.CC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.CC', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117642
{'ambient': '51200000000.gt', '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': 2, 'diagramx': None, 'generators': [28100025308549962182960, 231331231497949001402926960490764330093051790584, 12494008823, 19679114160, 79855162553820298140810, 486580401635328090, 20425781580706686886796525750761716208679276160, 774596117487626362548314482200449263442505959010, 62762714704350628401900956114383907454738840960, 131783, 33, 19939418763395760, 26584437979137256909405430809737697306, 280215936064, 544311317165518819855853074144363305461320961235, 936846144052247505843487894375, 304187470334004546272016032115918009664, 608358494990699441746992186536265131584, 82637945570424623962242695588801813907198299556, 27439951015054631587557705131520, 26584437368957224469726684209804030855, 408960, 9209579292679353411002358924409276093], 'label': '51200000000.gt.4._.BH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BH', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117643
{'ambient': '51200000000.gt', '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': [384142702560432544, 17374858076278030769003842515536762235, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 51755131533883781284650, 608358522430652395702110905971241981344, 7113748562001360, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 231331231202979333200257133672786783361941471944, 42378967770422286201683623371542706576761836909, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.128._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.A', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117648
{'ambient': '51200000000.gt', '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': [384142702560432544, 17374858076278030769003842515536762235, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 51755131533883781284650, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 42378967770422286201683623371542706576761836909, 251219854714771069994854818859322153525188319986, 280216752570, 17374858076278030769016668166059193675, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.128._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.F', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117649
{'ambient': '51200000000.gt', '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': [384142702560432544, 17374858076278030769003842515536762235, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 51755131533883781284650, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 231331231497949001402926960490988434095541796424, 42378967770422286201683623371542706576761836909, 280216752570, 17374858076278030769016668166059193675, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.128._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.G', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117650
{'ambient': '51200000000.gt', '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': [384142702560432544, 17374858076278030769003842515536762235, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 51755131533883781284650, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 42378967770422286201683623371542706576761836909, 251219854714771069994854818859078172872303621186, 280216752570, 17374858076278030769016668166059193675, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.128._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.H', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117651
{'ambient': '51200000000.gt', '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': [384142702560432544, 17374858076278030769003842515536762235, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 51755131533883781284650, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 42378967770422286201683623371542706576761836909, 231331231497949001402926960490745499582152671944, 280216752570, 17374858076278030769016668166059193675, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.128._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.I', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117652
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764080503, 26584437368957304324849359192574912029, 51755131533883781284650, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209964160, 9157942499263344915263815680090, 17374858076278030769009554417497596955, 19679114160, 42378967770422286201683623371542706576761836909, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.128._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.J', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117653
{'ambient': '51200000000.gt', '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': 2, 'diagramx': None, 'generators': [28100025308549962182960, 231331231497949001402926960490764330093051790584, 19679114160, 79855162553820298140810, 486580401635328090, 20425781580706686886796525750761716208679276160, 774596117487626362548314482200449263442505959010, 62762714704350628401900956114383907454738840960, 131783, 33, 19939418763395760, 26584437979137256909405430809737697306, 280215936064, 544311317165518819855853074144363305461320961235, 936846144052247505843487894375, 231331231497949001402926960490745499563990477535, 304187470334004546272016032115918009664, 608358494990699441746992186536265131584, 82637945570424623962242695588801813907198299556, 27439951015054631587557705131520, 26584437368957224469726684209804030855, 408960, 9209579292679353411002358924409276093], 'label': '51200000000.gt.4._.BI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BI', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117654
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764080503, 26584437368957304324849359192574912029, 51755131533883781284650, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209964160, 9157942499263344915263815680090, 19679114160, 42378967770422286201683623371542706576761836909, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464, 17374858076278030769003842495857734475], 'label': '51200000000.gt.128._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.K', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117655
{'ambient': '51200000000.gt', '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': [42378967770422286201683675126674240435115968643, 384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 51755137245805421070810, 1209600, 9209579619345357068403195609848263050, 51755131533877993267286, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 26584437368957252569737765076268978519, 9157942499263344915263815680090, 131783, 19679114160, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.128._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.L', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117656
{'ambient': '51200000000.gt', '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': [42378967770422286201683675126674240435115968643, 384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 51755137245805421070810, 1209600, 9209579619345357068403195609848263050, 51755131533877993267286, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 26584437368957252569737765076268978519, 9157942499263344915263815680090, 19679114160, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464, 51755131533883781253686], 'label': '51200000000.gt.128._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.M', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117657
{'ambient': '51200000000.gt', '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': [42378967770422286201683675126674240435115968643, 384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 51755137245805421070810, 1209600, 9209579619345357068403195609848263050, 608358522430652395702110905971241981344, 12494008823, 20425781607291124255753750220488400069770140839, 26584437368957252569737765076268978519, 9157942499263344915263815680090, 19679114160, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464, 51755131533883781253686], 'label': '51200000000.gt.128._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.N', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117658
{'ambient': '51200000000.gt', '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': [42378967770422286201683675126674240435115968643, 384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 51755137245805421070810, 1209600, 9209579619345357068403195609848263050, 608358522430652395702110905971241981344, 12494008823, 20425781607291124255753750220488400069770140839, 26584437368957252569737765076268978519, 9157942499263344915263815680090, 131783, 19679114160, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.128._.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.O', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.O', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117659
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 51755131533883781284650, 608358522430652395702110905971241981344, 9209579619345385168428503525571305520, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 19679114160, 17374858402944086181536212972629244109, 42378967770422286201683623371542706576761836909, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464, 774596117487626362548312568027202744254187453490, 17374858076278030769003842495857734475], 'label': '51200000000.gt.128._.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.P', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.P', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117660
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 774596117487626362548314482200442149688156138290, 51755131533883781284650, 608358522430652395702110905971241981344, 9209579619345385168428503525571305520, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 19679114160, 17374858402944086181536212972629244109, 42378967770422286201683623371542706576761836909, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464, 17374858076278030769003842495857734475], 'label': '51200000000.gt.128._.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.Q', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.Q', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117661
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 26584437368957304324849359192574912029, 51755131533883781284650, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209964160, 9157942499263344915263815680090, 17374858076278030769009554417497596955, 19679114160, 42378967770422286201683623371542706576761836909, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464, 774596117487626362548312568027209858002749258290], 'label': '51200000000.gt.128._.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.R', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.R', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117662
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 26584437368957304324849359192574912029, 51755131533883781284650, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209964160, 9157942499263344915263815680090, 17374858076278030769009554417497596955, 774596117487626362548314482200449263436717943090, 19679114160, 42378967770422286201683623371542706576761836909, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.128._.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.S', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.S', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117663
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 19939438443062880, 26584438305803368521974190053290800480, 1209600, 51755131533883781284650, 608358522430652395702110905971241981344, 9209579619345385168428503525571305520, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 42378967770422286201683623371542706576761836909, 17374858402944086181536212972629244109, 280216752570, 1180931214473494978994271197257957580224, 12825682696118880, 62762714400179639112255222441031994191620998464, 17374858076278030769003842495857734475], 'label': '51200000000.gt.128._.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.T', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.T', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117664
{'ambient': '51200000000.gt', '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': 2, 'diagramx': None, 'generators': [20425781607291124255753670365345785762160668743, 408960, 128424178257590913, 7113748562408880, 608358522430650456800855489249280000033, 936846115952229311596851692189, 9157942499262960772841472000096, 9209579292679325310996990048080950429, 79855162553888794326993, 647475766948584588510720, 7185074400, 19939418764438320, 42378967778587564985282352484668610631702216890, 9209579902859334095556685388165334989, 26584437368957224469726684209804030919, 62762714095992133411200866892008914944000000000, 774596117487626362548314482200449263442505994286, 19679114160, 251219854132988798975110827188214834765376238856, 64, 28100031020285230022464, 93924639424, 754707493983991691139308440090643600490976791033], 'label': '51200000000.gt.4._.BJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BJ', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117665
{'ambient': '51200000000.gt', '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': [384142702560432544, 7113761056010160, 79855162554169010263056, 33, 19939438443062880, 26584438305803368521974190053290800480, 1209600, 51755131533883781284650, 608358522430652395702110905971241981344, 9209579619345385168428503525571305520, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 42378967770422286201683623371542706576761836909, 17374858402944086181536212972629244109, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464, 17374858076278030769003842495857734475], 'label': '51200000000.gt.128._.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.U', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.U', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117666
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 19939438443062880, 26584438305803368521974190053290800480, 1209600, 26584437368957304324849359192574912029, 51755131533883781284650, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209964160, 9157942499263344915263815680090, 17374858076278030769009554417497596955, 42378967770422286201683623371542706576761836909, 280216752570, 1180931214473494978994271197257957580224, 12825682696118880, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.128._.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.V', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.V', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117667
{'ambient': '51200000000.gt', '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': [384142702560432544, 7113761056010160, 79855162554169010263056, 33, 19939438443062880, 26584438305803368521974190053290800480, 1209600, 26584437368957304324849359192574912029, 51755131533883781284650, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209964160, 9157942499263344915263815680090, 17374858076278030769009554417497596955, 42378967770422286201683623371542706576761836909, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.128._.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.W', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.W', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117668
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 51755131533883781284650, 608358522430652395702110905971241981344, 9209579619345385168421389788464706480, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 19679114160, 42378967770422286201683623371542706576761836909, 280216752570, 326666135267674984852880433195, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.128._.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.X', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.X', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117669
{'ambient': '51200000000.gt', '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': [384142702560432544, 7113761056010160, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 51755131533883781284650, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 19679114160, 42378967770422286201683623371542706576761836909, 280216752570, 326666135267674984852880433195, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.128._.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.Y', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.Y', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117670
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 26584437368957304324849359192574912029, 51755131533883781284650, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209964160, 9157942499263344915263815680090, 131783, 19679114160, 42378967770422286201683623371542706576761836909, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464, 17374858076278030769003842495857734475], 'label': '51200000000.gt.128._.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.Z', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.Z', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117671
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 51755131533883781284650, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 131783, 19679114160, 42378967770422286201683623371542706576761836909, 280216752570, 326666135267674984852880433195, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.128._.BA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.BA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.BA', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117672
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 51755131533883781284650, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209928903, 9157942499263344915263815680090, 19679114160, 42378967770422286201683623371542706576761836909, 280216752570, 326666135267674984852880433195, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.128._.BB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.BB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.BB', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117673
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 51755131533883781284650, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209928903, 9157942499263344915263815680090, 19679114160, 42378967770422286201683623371542706576761836909, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464, 17374858076278030769003842495857734475], 'label': '51200000000.gt.128._.BC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.BC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.BC', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117674
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 51755131533883781284650, 608358522430652395702110905971241981344, 9209579619345385168428503525571305520, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 17374858076278030769009554417497596955, 774596117487626362548312568027202744247002314290, 17374858402944086181536212972629244109, 42378967770422286201683623371542706576761836909, 19679114160, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.128._.BD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.BD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.BD', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117675
{'ambient': '51200000000.gt', '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': 2, 'diagramx': None, 'generators': [911748377415201578877521596550603961696, 26584437368957304324849359541286867319, 304187497773954913850497617188247160384, 251219854132988798975110827188214834765376238856, 19679114160, 9209579902859334095549571552385125719, 28100025308544652159200, 20935040445082060716666554737023778765701120000, 187769443680, 20425781607291124255753750220488400069769340166, 131783, 420297990190405276939795813780499152303791618566, 19939418764030800, 79855162553888794568913, 27439951015054247445484074374400, 42378967770422286201683651471573726511880396883, 26584438305803288666811636621064278960, 408993, 12825677387134800, 384142610112307264, 794471348649706112779960119071219747038821542366, 9209579292679301655870825134553265933, 408960], 'label': '51200000000.gt.4._.BK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BK', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117676
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 51755131533883781284650, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 131783, 19679114160, 42378967770422286201683623371542706576761836909, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464, 17374858076278030769003842495857734475], 'label': '51200000000.gt.128._.BE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.BE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.BE', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117677
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 51755131533883781284650, 608358522430652395702110905971241981344, 9209579619345385168428503525571305520, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 17374858076278030769009554417497596955, 19679114160, 17374858402944086181536212972629244109, 42378967770422286201683623371542706576761836909, 774596117487626362548314482200442149693943959090, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.128._.BF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.BF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.BF', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117678
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 17374858076278030769003842508351808075, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 51755131533883781284650, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 9209579619345385168434215447209964160, 19679114160, 42378967770422286201683623371542706576761836909, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.128._.BG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.BG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.BG', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117679
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 51755131533883781284650, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209964160, 9157942499263344915263815680090, 19679114160, 42378967770422286201683623371542706576761836909, 280216752570, 12494039760, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.128._.BH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.BH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.BH', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117680
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 51755131533883781284650, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 9209579619345385168434215447209964160, 19679114160, 17374858076278030769003842495857779843, 42378967770422286201683623371542706576761836909, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.128._.BI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.BI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.BI', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117681
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 51755131533883781284650, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209964160, 9157942499263344915263815680090, 131783, 19679114160, 42378967770422286201683623371542706576761836909, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.128._.BJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.BJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.BJ', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117682
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 26584437368957304324849359192574912029, 51755131533883781284650, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209964160, 9157942499263344915263815680090, 19679114160, 42378967770422286201683623371542706576761836909, 280216752570, 1180931214473494978994271197257957580224, 774596117487626362548312568027209857995564314210, 62762714400179639112255222441031994191620998464, 17374858076278030769003842495857734475], 'label': '51200000000.gt.128._.BK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.BK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.BK', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117683
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 26584437368957304324849359192574912029, 51755131533883781284650, 608358522430652395702110905971241981344, 774596117487626362548314482200449263442505959010, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 9209579619345385168434215447209964160, 19679114160, 42378967770422286201683623371542706576761836909, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464, 17374858076278030769003842495857734475], 'label': '51200000000.gt.128._.BL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.BL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.BL', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117684
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 51755131533883781284650, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 19679114160, 42378967770422286201683623371542706576761836909, 280216752570, 9209579619345385168421389777008700080, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464, 17374858076278030769003842495857734475], 'label': '51200000000.gt.128._.BM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.BM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.BM', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117685
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 51755131533883781284650, 608358522430652395702110905971241981344, 9209579619345385168428503525571305520, 20425781607291124255753750220488400069770140839, 774596117487626362548312568027202744254187418206, 9157942499263344915263815680090, 19679114160, 17374858402944086181536212972629244109, 42378967770422286201683623371542706576761836909, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464, 17374858076278030769003842495857734475], 'label': '51200000000.gt.128._.BN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.BN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.BN', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117686
{'ambient': '51200000000.gt', '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': 2, 'diagramx': None, 'generators': [774596117487626362548314482200449263436717988446, 28100025308549962182960, 19679114160, 79855162553820298140810, 486580401635328090, 20425781580706686886796525750761716208679276160, 62762714704350628401900956114383907454738840960, 131783, 33, 19939418763395760, 26584437979137256909405430809737697306, 280215936064, 7113748562001360, 231331231497949001402926960490745499582152671944, 544311317165518819855853074144363305461320961235, 936846144052247505843487894375, 304187470334004546272016032115918009664, 608358494990699441746992186536265131584, 82637945570424623962242695588801813907198299556, 27439951015054631587557705131520, 26584437368957224469726684209804030855, 408960, 9209579292679353411002358924409276093], 'label': '51200000000.gt.4._.BL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BL', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117687
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 51755131533883781284650, 608358522430652395702110905971241981344, 9209579619345385168428503525571305520, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 19679114160, 17374858402944086181536212972629244109, 42378967770422286201683623371542706576761836909, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464, 17374858076278030769003842495857734475, 774596117487626362548314482200442149688156103006], 'label': '51200000000.gt.128._.BO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.BO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.BO', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117688
{'ambient': '51200000000.gt', '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': [774596117487626362548312568027209858002749303646, 384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 26584437368957304324849359192574912029, 51755131533883781284650, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209964160, 9157942499263344915263815680090, 17374858076278030769009554417497596955, 19679114160, 42378967770422286201683623371542706576761836909, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.128._.BP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.BP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.BP', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117689
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id: 222117690
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 51755131533883781284650, 608358522430652395702110905971241981344, 9209579619345385168421389788464741783, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 19679114160, 42378967770422286201683623371542706576761836909, 280216752570, 326666135267674984852880433195, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.128._.BR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.BR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.BR', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117691
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 51755131533883781284650, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 19679114160, 42378967770422286201683623371542706576761836909, 280216752570, 326666135267674984852880433195, 1180931214473494978994271197257957580224, 7113761055878423, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.128._.BS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.BS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.BS', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117692
{'ambient': '51200000000.gt', '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': [384142702560432544, 17374858076278030769003842508351772803, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 51755131533883781284650, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 9209579619345385168434215447209964160, 19679114160, 42378967770422286201683623371542706576761836909, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.128._.BT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.BT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.BT', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117693
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 51755131533883781284650, 608358522430652395702110905971241981344, 12494008823, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209964160, 9157942499263344915263815680090, 19679114160, 42378967770422286201683623371542706576761836909, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.128._.BU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.BU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.BU', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117694
{'ambient': '51200000000.gt', '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': [384142702560432544, 17374858076278030769003842515536762235, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 51755131533883781284650, 608358522430652395702110905971241981344, 7113748562001360, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 9209579619345385168434215447209964160, 42378967770422286201683623371542706576761836909, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.128._.BV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.BV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.BV', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117695
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 51755131533883781284650, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 9209579619345385168434215447209964160, 19679114160, 42378967770422286201683623371542706576761836909, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464, 17374858076278030769003842495857734475], 'label': '51200000000.gt.128._.BW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.BW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.BW', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117696
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 51755131533883781284650, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 42378967770422286201683623371542706576761836909, 280216752570, 9209579619345385168421389777008700080, 1180931214473494978994271197257957580224, 326666135267674984852880433195, 9209579619345385168434215452957948080, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.128._.BX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.BX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.BX', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117697
{'ambient': '51200000000.gt', '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': 2, 'diagramx': None, 'generators': [28100025308549962182960, 12494008823, 19679114160, 79855162553820298140810, 486580401635328090, 20425781580706686886796525750761716208679276160, 62762714704350628401900956114383907454738840960, 774596117487626362548314482200442149693943959090, 131783, 33, 19939418763395760, 26584437979137256909405430809737697306, 280215936064, 231331231497949001402926960490745499582152671944, 544311317165518819855853074144363305461320961235, 936846144052247505843487894375, 304187470334004546272016032115918009664, 608358494990699441746992186536265131584, 82637945570424623962242695588801813907198299556, 27439951015054631587557705131520, 26584437368957224469726684209804030855, 408960, 9209579292679353411002358924409276093], 'label': '51200000000.gt.4._.BM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BM', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117698
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 51755131533883781284650, 608358522430652395702110905971241981344, 7113748562001360, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 42378967770422286201683623371542706576761836909, 280216752570, 326666135267674984852880433195, 1180931214473494978994271197257957580224, 9209579619345385168434215452957948080, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.128._.BY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.BY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.BY', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117699
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 51755131533883781284650, 608358522430652395702110905971241981344, 7113748562001360, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 19679114160, 42378967770422286201683623371542706576761836909, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464, 17374858076278030769003842495857734475], 'label': '51200000000.gt.128._.BZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.BZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.BZ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117700
{'ambient': '51200000000.gt', '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': [384142702560432544, 17374858076278030769003842515536762235, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 51755131533883781284650, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 9209579619345385168434215447209964160, 42378967770422286201683623371542706576761836909, 280216752570, 17374858076278030769016668166059193675, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.128._.CA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.CA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.CA', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117701
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 51755131533883781284650, 608358522430652395702110905971241981344, 9209579619345385168428503525571305520, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 17374858076278030769009554417497596955, 19679114160, 17374858402944086181536212972629244109, 42378967770422286201683623371542706576761836909, 774596117487626362548312568027202744247002359646, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.128._.CB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.CB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.CB', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117702
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 774596117487626362548314482200442149693944004446, 26584438305803368521974190053290800480, 1209600, 51755131533883781284650, 608358522430652395702110905971241981344, 9209579619345385168428503525571305520, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 17374858076278030769009554417497596955, 19679114160, 17374858402944086181536212972629244109, 42378967770422286201683623371542706576761836909, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.128._.CC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.CC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.CC', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117703
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 26584437368957304324849359192574912029, 51755131533883781284650, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209964160, 9157942499263344915263815680090, 19679114160, 42378967770422286201683623371542706576761836909, 774596117487626362548312568027209857995564349486, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464, 17374858076278030769003842495857734475], 'label': '51200000000.gt.128._.CD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.CD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.CD', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117704
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 26584437368957304324849359192574912029, 51755131533883781284650, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209964160, 9157942499263344915263815680090, 19679114160, 774596117487626362548314482200449263442505994286, 42378967770422286201683623371542706576761836909, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464, 17374858076278030769003842495857734475], 'label': '51200000000.gt.128._.CE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.CE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.CE', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117705
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 51755131533883781284650, 608358522430652395702110905971241981344, 9209579619345385168421389777008654743, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 19679114160, 42378967770422286201683623371542706576761836909, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464, 17374858076278030769003842495857734475], 'label': '51200000000.gt.128._.CF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.CF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.CF', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117706
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 51755131533883781284650, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 19679114160, 42378967770422286201683623371542706576761836909, 280216752570, 7113748561970423, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464, 17374858076278030769003842495857734475], 'label': '51200000000.gt.128._.CG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.CG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.CG', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117707
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 51755131533883781284650, 608358522430652395702110905971241981344, 9209579619345385168428503525571305520, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 17374858076278030769009554417497596955, 131783, 19679114160, 17374858402944086181536212972629244109, 42378967770422286201683623371542706576761836909, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.128._.CH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.CH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.CH', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117708
{'ambient': '51200000000.gt', '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': 2, 'diagramx': None, 'generators': [774596117487626362548314482200449263436717988446, 28100025308549962182960, 19679114160, 79855162553820298140810, 486580401635328090, 20425781580706686886796525750761716208679276160, 62762714704350628401900956114383907454738840960, 774596117487626362548314482200442149693943959090, 131783, 33, 19939418763395760, 26584437979137256909405430809737697306, 280215936064, 231331231497949001402926960490745499582152671944, 544311317165518819855853074144363305461320961235, 936846144052247505843487894375, 304187470334004546272016032115918009664, 608358494990699441746992186536265131584, 82637945570424623962242695588801813907198299556, 27439951015054631587557705131520, 26584437368957224469726684209804030855, 408960, 9209579292679353411002358924409276093], 'label': '51200000000.gt.4._.BN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BN', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117709
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764080503, 51755131533883781284650, 608358522430652395702110905971241981344, 9209579619345385168428503525571305520, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 17374858076278030769009554417497596955, 19679114160, 17374858402944086181536212972629244109, 42378967770422286201683623371542706576761836909, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.128._.CI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.CI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.CI', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117710
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764080503, 51755131533883781284650, 608358522430652395702110905971241981344, 9209579619345385168428503525571305520, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 19679114160, 17374858402944086181536212972629244109, 42378967770422286201683623371542706576761836909, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464, 17374858076278030769003842495857734475], 'label': '51200000000.gt.128._.CJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.CJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.CJ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117711
{'ambient': '51200000000.gt', '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': [384142702560432544, 17374858076278030769003842515536762235, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 251219854419801401792183751144315990173213701186, 19939418764030800, 26584437368957304324869298611337098189, 51755131533883781284650, 608358522430652395702110905971241981344, 7113748562001360, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 42378967770422286201683623371542706576761836909, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.128._.CK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.CK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.CK', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117712
{'ambient': '51200000000.gt', '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': [384142702560432544, 17374858076278030769003842515536762235, 79855162554169010263056, 33, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 51755131533883781284650, 608358522430652395702110905971241981344, 7113748562001360, 20425781607291124255753750220488400069770140839, 231331231202979333200257133672786783361941471944, 9157942499263344915263815680090, 42378967770422286201683623371542706576761836909, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.256._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.A', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117713
{'ambient': '51200000000.gt', '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': [384142702560432544, 291492596259699355600374107242091342560122467246, 79855162554169010263056, 33, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 51755131533883781284650, 608358522430652395702110905971241981344, 9209580229525337752970347577112407835, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 9209580229525337752957521887232000075, 42378967770422286201683623371542706576761836909, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.256._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.B', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117714
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 51755131533883781284650, 608358522430652395702110905971241981344, 9209580229525337752970347577112407835, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 9209580229525337752957521887232000075, 42378967770422286201683623371542706576761836909, 231331231497949001402926960490745499582152671944, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.256._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.C', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117715
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 26584437368957304324849359192574912029, 51755131533883781284650, 608358522430652395702110905971241981344, 9209579619345385168421389788464706480, 26584437695623336082295443566960634243, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 42378967770422286201683623371542706576761836909, 280216752570, 26584437368957304324869298591657984029, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.256._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.D', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117716
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 26584437368957304324849359192574912029, 17374858402944086181549038655244748189, 51755131533883781284650, 608358522430652395702110905971241981344, 26584437695623336082295443566960634243, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 42378967770422286201683623371542706576761836909, 280216752570, 26584437368957304324869298591657984029, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.256._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.E', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117717
{'ambient': '51200000000.gt', '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': [384142702560432544, 26584437368957304324862184850281088029, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 26584437368957304324849359192574912029, 51755131533883781284650, 608358522430652395702110905971241981344, 26584437695623336082295443566960634243, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 42378967770422286201683623371542706576761836909, 280216752570, 26584437368957304324869298591657984029, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.256._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.F', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117718
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 51755131533883781284650, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 131783, 42378967770422286201683623371542706576761836909, 19679114160, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.256._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.G', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117719
{'ambient': '51200000000.gt', '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': 2, 'diagramx': None, 'generators': [146544591090428189972693871140567453501412150450, 28100025308549962182960, 12494008823, 19679114160, 79855162553820298140810, 486580401635328090, 20425781580706686886796525750761716208679276160, 62762714704350628401900956114383907454738840960, 131783, 33, 19939418763395760, 26584437979137256909405430809737697306, 280215936064, 7113748562001360, 544311317165518819855853074144363305461320961235, 936846144052247505843487894375, 304187470334004546272016032115918009664, 608358494990699441746992186536265131584, 82637945570424623962242695588801813907198299556, 27439951015054631587557705131520, 26584437368957224469726684209804030855, 408960, 9209579292679353411002358924409276093], 'label': '51200000000.gt.4._.BO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BO', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117720
{'ambient': '51200000000.gt', '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': [384142702560432544, 7113761056010160, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 26584437368957304324849359192574912029, 51755131533883781284650, 608358522430652395702110905971241981344, 26584437695623336082295443566960634243, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 42378967770422286201683623371542706576761836909, 280216752570, 26584437368957304324869298591657984029, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.256._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.H', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117721
{'ambient': '51200000000.gt', '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': [42378967770422286201683675126674240435115968643, 384142702560432544, 79855162554169010263056, 33, 51755137245805421070810, 26584438305803368521974190053290800480, 1209600, 9209579619345357068403195609848263050, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 26584437368957252569737765076268978519, 9157942499263344915263815680090, 51755131533877993399050, 19679114160, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.256._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.I', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117722
{'ambient': '51200000000.gt', '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': [42378967770422286201683675126674240435115968643, 384142702560432544, 79855162554169010263056, 33, 51755137245805421070810, 26584438305803368521974190053290800480, 1209600, 9209579619345357068403195609848263050, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 26584437368957252569737765076268978519, 9157942499263344915263815680090, 19679114160, 280216752570, 12494039760, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.256._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.J', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117723
{'ambient': '51200000000.gt', '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': [42378967770422286201683675126674240435115968643, 384142702560432544, 79855162554169010263056, 33, 51755137245805421070810, 26584438305803368521974190053290800480, 1209600, 9209579619345357068403195609848263050, 51755131533877993267286, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 26584437368957252569737765076268978519, 9157942499263344915263815680090, 19679114160, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.256._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.K', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117724
{'ambient': '51200000000.gt', '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': [42378967770422286201683675126674240435115968643, 384142702560432544, 79855162554169010263056, 33, 51755137245805421070810, 26584438305803368521974190053290800480, 1209600, 9209579619345357068403195609848263050, 608358522430652395702110905971241981344, 12494008823, 20425781607291124255753750220488400069770140839, 26584437368957252569737765076268978519, 9157942499263344915263815680090, 19679114160, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.256._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.L', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117725
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 26584437368957304324849359192574912029, 51755131533883781284650, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 131783, 42378967770422286201683623371542706576761836909, 19679114160, 280216752570, 326666135267674984852880433195, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.256._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.M', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117726
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 26584437368957304324849359192574912029, 51755131533883781284650, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 42378967770422286201683623371542706576761836909, 19679114160, 280216752570, 26584437368957304324869298611336966433, 326666135267674984852880433195, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.256._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.N', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117727
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 26584437368957304324849359192574912029, 51755131533883781284650, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 17374858402944086181536212972629279393, 9157942499263344915263815680090, 42378967770422286201683623371542706576761836909, 19679114160, 280216752570, 326666135267674984852880433195, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.256._.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.O', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.O', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117728
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 26584437368957304324849359192574912029, 51755131533883781284650, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209928903, 9157942499263344915263815680090, 42378967770422286201683623371542706576761836909, 19679114160, 280216752570, 1180931214473494978994271197257957580224, 326666135267674984852880433195, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.256._.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.P', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.P', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117729
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 26584437368957304324849359192574912029, 51755131533883781284650, 608358522430652395702110905971241981344, 26584437695623336082295443566960634243, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209928903, 9157942499263344915263815680090, 42378967770422286201683623371542706576761836909, 19679114160, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.256._.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.Q', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.Q', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117730
{'ambient': '51200000000.gt', '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': [384142702560432544, 12494008823, 19679114160, 1209600, 9157942499263344915263815680090, 51755131533883781284650, 280216752570, 774596117487626362548314482200449263442505959010, 131783, 42378967770422286201683623371542706576761836909, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464, 19939418764030800, 33, 26584437368957304324869298611337098189, 17374858076278030769003842495857734475, 231331231497949001402926960490745499582152671944, 7113748562001360, 79855162554169010263056, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209964160, 480445590912251800777331973907405017292279187760, 26584438305803368521974190053290800480], 'label': '51200000000.gt.2._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2._.D', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117731
{'ambient': '51200000000.gt', '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': 2, 'diagramx': None, 'generators': [146544591090428189972693871140567453501412150450, 774596117487626362548314482200449263436717988446, 28100025308549962182960, 19679114160, 79855162553820298140810, 486580401635328090, 20425781580706686886796525750761716208679276160, 62762714704350628401900956114383907454738840960, 131783, 33, 19939418763395760, 26584437979137256909405430809737697306, 280215936064, 7113748562001360, 544311317165518819855853074144363305461320961235, 936846144052247505843487894375, 304187470334004546272016032115918009664, 608358494990699441746992186536265131584, 82637945570424623962242695588801813907198299556, 27439951015054631587557705131520, 26584437368957224469726684209804030855, 408960, 9209579292679353411002358924409276093], 'label': '51200000000.gt.4._.BP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BP', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117732
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 26584437368957304324849359192574912029, 51755131533883781284650, 608358522430652395702110905971241981344, 26584437695623336082295443566960634243, 20425781607291124255753750220488400069770140839, 17374858402944086181536212972629279393, 9157942499263344915263815680090, 42378967770422286201683623371542706576761836909, 19679114160, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.256._.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.R', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.R', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117733
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 26584437368957304324849359192574912029, 51755131533883781284650, 608358522430652395702110905971241981344, 26584437695623336082295443566960634243, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 42378967770422286201683623371542706576761836909, 19679114160, 280216752570, 26584437368957304324869298611336966433, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.256._.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.S', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.S', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117734
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 26584437368957304324849359192574912029, 51755131533883781284650, 608358522430652395702110905971241981344, 26584437695623336082295443566960634243, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 131783, 42378967770422286201683623371542706576761836909, 19679114160, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.256._.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.T', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.T', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117735
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 26584437368957304324849359192574912029, 51755131533883781284650, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 131783, 42378967770422286201683623371542706576761836909, 19679114160, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464, 9209579292679273555865456115481057283], 'label': '51200000000.gt.256._.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.U', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.U', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117736
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 26584437368957304324849359192574912029, 51755131533883781284650, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 42378967770422286201683623371542706576761836909, 19679114160, 280216752570, 26584437368957304324869298611336966433, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464, 9209579292679273555865456115481057283], 'label': '51200000000.gt.256._.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.V', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.V', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117737
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 26584437368957304324849359192574912029, 51755131533883781284650, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 17374858402944086181536212972629279393, 9157942499263344915263815680090, 42378967770422286201683623371542706576761836909, 19679114160, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464, 9209579292679273555865456115481057283], 'label': '51200000000.gt.256._.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.W', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.W', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117738
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 26584437368957304324849359192574912029, 51755131533883781284650, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209928903, 9157942499263344915263815680090, 42378967770422286201683623371542706576761836909, 19679114160, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464, 9209579292679273555865456115481057283], 'label': '51200000000.gt.256._.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.X', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.X', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117739
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 26584437368957304324849359192574912029, 51755131533883781284650, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209928903, 9157942499263344915263815680090, 42378967770422286201683623371542706576761836909, 19679114160, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464, 17374858076278030769003842495857734475], 'label': '51200000000.gt.256._.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.Y', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.Y', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117740
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 26584437368957304324849359192574912029, 51755131533883781284650, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 17374858402944086181536212972629279393, 9157942499263344915263815680090, 42378967770422286201683623371542706576761836909, 19679114160, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464, 17374858076278030769003842495857734475], 'label': '51200000000.gt.256._.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.Z', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.Z', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117741
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 26584437368957304324849359192574912029, 51755131533883781284650, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 42378967770422286201683623371542706576761836909, 19679114160, 280216752570, 26584437368957304324869298611336966433, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464, 17374858076278030769003842495857734475], 'label': '51200000000.gt.256._.BA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.BA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.BA', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117742
{'ambient': '51200000000.gt', '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': 2, 'diagramx': None, 'generators': [28100025308549962182960, 12494008823, 19679114160, 79855162553820298140810, 486580401635328090, 20425781580706686886796525750761716208679276160, 62762714704350628401900956114383907454738840960, 131783, 33, 19939418763395760, 26584437979137256909405430809737697306, 280215936064, 7113748562001360, 231331231497949001402926960490745499582152671944, 936846144052247505843487894375, 304187470334004546272016032115918009664, 710193606653923095045140472077595472079620246333, 608358494990699441746992186536265131584, 82637945570424623962242695588801813907198299556, 27439951015054631587557705131520, 26584437368957224469726684209804030855, 408960, 9209579292679353411002358924409276093], 'label': '51200000000.gt.4._.BQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BQ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117743
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 26584437368957304324849359192574912029, 51755131533883781284650, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 131783, 42378967770422286201683623371542706576761836909, 19679114160, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464, 17374858076278030769003842495857734475], 'label': '51200000000.gt.256._.BB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.BB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.BB', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117744
{'ambient': '51200000000.gt', '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': [42378967770422286201683675126674240435115968643, 384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 51755131533865060274490, 1209600, 19939418764030800, 9209579619345357068403195609848263050, 26584437368957304324869298611337098189, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 17374858076278030769003842495857779843, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.256._.BC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.BC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.BC', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117745
{'ambient': '51200000000.gt', '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': [384142702560432544, 42378967770422286201683675126674240435115968643, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 51755131533865060274490, 1209600, 19939418764030800, 9209579619345357068403195609848263050, 26584437368957304324869298611337098189, 17374858076277979013892248417953410524, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.256._.BD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.BD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.BD', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117746
{'ambient': '51200000000.gt', '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': [42378967770422286201683675126674240435115968643, 384142702560432544, 79855162554169010263056, 33, 51755137245805421070810, 26584438305803368521974190053290800480, 51755131533865060274490, 1209600, 9209579619345357068403195609848263050, 17374858076277979013892248417953410524, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 26584437368957252569737765076268978519, 9157942499263344915263815680090, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.256._.BE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.BE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.BE', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117747
{'ambient': '51200000000.gt', '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': [42378967770422286201683675126674240435115968643, 384142702560432544, 79855162554169010263056, 33, 51755137245805421070810, 26584438305803368521974190053290800480, 51755131533865060274490, 1209600, 9209579619345357068403195609848263050, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 26584437368957252569737765076268978519, 9157942499263344915263815680090, 17374858076278030769003842495857779843, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.256._.BF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.BF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.BF', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117748
{'ambient': '51200000000.gt', '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': [384142702560432544, 17374858076278030769003842495857779843, 1209600, 9157942499263344915263815680090, 280216752570, 26584437368957252569737765076268978519, 51755131533865060274490, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464, 33, 79855162554169010263056, 608358522430652395702110905971241981344, 51755137245805421070810, 20425781607291124255753750220488400069770140839, 42378967770422286201683675126674240435115968643, 9209579619345385168434215447209964160, 26584438305803368521974190053290800480], 'label': '51200000000.gt.256._.BG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.BG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.BG', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117749
{'ambient': '51200000000.gt', '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': [384142702560432544, 1209600, 9157942499263344915263815680090, 280216752570, 26584437368957252569737765076268978519, 51755131533865060274490, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464, 33, 17374858076277979013892248417953410524, 79855162554169010263056, 608358522430652395702110905971241981344, 51755137245805421070810, 20425781607291124255753750220488400069770140839, 42378967770422286201683675126674240435115968643, 9209579619345385168434215447209964160, 26584438305803368521974190053290800480], 'label': '51200000000.gt.256._.BH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.BH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.BH', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117750
{'ambient': '51200000000.gt', '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': [42378967770422286201683675126674240435115968643, 384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 51755131533865060274490, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 17374858076277979013892248417953410524, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209964160, 9157942499263344915263815680090, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.256._.BI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.BI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.BI', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117751
{'ambient': '51200000000.gt', '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': [42378967770422286201683675126674240435115968643, 384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 51755131533865060274490, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209964160, 9157942499263344915263815680090, 17374858076278030769003842495857779843, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.256._.BJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.BJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.BJ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117752
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 51755131533883781284650, 608358522430652395702110905971241981344, 9209579619345385168428503525571305520, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 42378967770422286201683623371542706576761836909, 17374858402944086181536212972629244109, 19679114160, 17374858076278030769009554417497566003, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.256._.BK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.BK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.BK', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117753
{'ambient': '51200000000.gt', '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': 2, 'diagramx': None, 'generators': [28100025308549962182960, 12494008823, 19679114160, 79855162553820298140810, 486580401635328090, 20425781580706686886796525750761716208679276160, 62762714704350628401900956114383907454738840960, 774596117487626362548314482200442149693943959090, 131783, 33, 19939418763395760, 26584437979137256909405430809737697306, 280215936064, 231331231497949001402926960490745499582152671944, 936846144052247505843487894375, 304187470334004546272016032115918009664, 710193606653923095045140472077595472079620246333, 608358494990699441746992186536265131584, 82637945570424623962242695588801813907198299556, 27439951015054631587557705131520, 26584437368957224469726684209804030855, 408960, 9209579292679353411002358924409276093], 'label': '51200000000.gt.4._.BR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BR', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117754
{'ambient': '51200000000.gt', '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': [384142702560432544, 17374858076278030769003842515536762235, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 326666135267682098601442302795, 19939418764030800, 26584437368957304324869298611337098189, 51755131533883781284650, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 42378967770422286201683623371542706576761836909, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.256._.BL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.BL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.BL', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117755
{'ambient': '51200000000.gt', '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': [384142702560432544, 17374858076278030769003842515536762235, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 51755131533883781284650, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 42378967770422286201683623371542706576761836909, 280216752570, 17374858076278030769016668166059193675, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.256._.BM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.BM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.BM', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117756
{'ambient': '51200000000.gt', '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': [384142702560432544, 17374858076278030769003842515536762235, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 51755131533883781284650, 608358522430652395702110905971241981344, 7113748562001360, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 42378967770422286201683623371542706576761836909, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.256._.BN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.BN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.BN', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117757
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 51755131533883781284650, 608358522430652395702110905971241981344, 9209579619345385168428503525571305520, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 42378967770422286201683623371542706576761836909, 17374858402944086181536212972629244109, 17374858076278030769003842495857779843, 19679114160, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.256._.BO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.BO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.BO', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117758
{'ambient': '51200000000.gt', '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': [42378967770422286201683675126674240435115968643, 384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 9209579619345357068403195609848263050, 26584437368957304324869298611337098189, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 131783, 19679114160, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.256._.BP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.BP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.BP', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117759
{'ambient': '51200000000.gt', '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': [42378967770422286201683675126674240435115968643, 384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 9209579619345357068403195609848263050, 26584437368957304324869298611337098189, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 19679114160, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464, 51755131533883781253686], 'label': '51200000000.gt.256._.BQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.BQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.BQ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117760
{'ambient': '51200000000.gt', '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': [42378967770422286201683675126674240435115968643, 384142702560432544, 79855162554169010263056, 33, 51755137245805421070810, 26584438305803368521974190053290800480, 1209600, 9209579619345357068403195609848263050, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 26584437368957252569737765076268978519, 9157942499263344915263815680090, 19679114160, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464, 51755131533883781253686], 'label': '51200000000.gt.256._.BR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.BR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.BR', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117761
{'ambient': '51200000000.gt', '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': [42378967770422286201683675126674240435115968643, 384142702560432544, 79855162554169010263056, 33, 51755137245805421070810, 26584438305803368521974190053290800480, 1209600, 9209579619345357068403195609848263050, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 26584437368957252569737765076268978519, 9157942499263344915263815680090, 131783, 19679114160, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.256._.BS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.BS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.BS', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117762
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 26584437368957304324849359192574912029, 51755131533883781284650, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209964160, 9157942499263344915263815680090, 42378967770422286201683623371542706576761836909, 19679114160, 17374858076278030769009554417497566003, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.256._.BT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.BT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.BT', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117763
{'ambient': '51200000000.gt', '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': [42378967770422286201683675126674240435115968643, 384142702560432544, 79855162554169010263056, 33, 51755137245805421070810, 26584438305803368521974190053290800480, 1209600, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 26584437368957252569737765076268978519, 9209579619345385168434215447209964160, 9157942499263344915263815680090, 131783, 19679114160, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.256._.BU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.BU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.BU', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117764
{'ambient': '51200000000.gt', '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': 2, 'diagramx': None, 'generators': [774596117487626362548314482200449263436717988446, 28100025308549962182960, 19679114160, 79855162553820298140810, 486580401635328090, 20425781580706686886796525750761716208679276160, 62762714704350628401900956114383907454738840960, 774596117487626362548314482200442149693943959090, 131783, 33, 19939418763395760, 26584437979137256909405430809737697306, 280215936064, 231331231497949001402926960490745499582152671944, 936846144052247505843487894375, 304187470334004546272016032115918009664, 710193606653923095045140472077595472079620246333, 608358494990699441746992186536265131584, 82637945570424623962242695588801813907198299556, 27439951015054631587557705131520, 26584437368957224469726684209804030855, 408960, 9209579292679353411002358924409276093], 'label': '51200000000.gt.4._.BS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BS', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117765
{'ambient': '51200000000.gt', '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': [42378967770422286201683675126674240435115968643, 384142702560432544, 79855162554169010263056, 33, 51755137245805421070810, 26584438305803368521974190053290800480, 1209600, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 26584437368957252569737765076268978519, 9209579619345385168434215447209964160, 9157942499263344915263815680090, 19679114160, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464, 51755131533883781253686], 'label': '51200000000.gt.256._.BV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.BV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.BV', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117766
{'ambient': '51200000000.gt', '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': [42378967770422286201683675126674240435115968643, 384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209964160, 9157942499263344915263815680090, 19679114160, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464, 51755131533883781253686], 'label': '51200000000.gt.256._.BW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.BW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.BW', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117767
{'ambient': '51200000000.gt', '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': [42378967770422286201683675126674240435115968643, 384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209964160, 9157942499263344915263815680090, 131783, 19679114160, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.256._.BX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.BX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.BX', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117768
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 26584437368957304324849359192574912029, 51755131533883781284650, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209964160, 9157942499263344915263815680090, 42378967770422286201683623371542706576761836909, 17374858076278030769003842495857779843, 19679114160, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.256._.BY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.BY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.BY', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117769
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764080503, 51755131533883781284650, 608358522430652395702110905971241981344, 9209579619345385168428503525571305520, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 42378967770422286201683623371542706576761836909, 17374858402944086181536212972629244109, 19679114160, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.256._.BZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.BZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.BZ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117770
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 51755131533883781284650, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209964160, 9157942499263344915263815680090, 42378967770422286201683623371542706576761836909, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464, 17374858076278030769003842495857734475], 'label': '51200000000.gt.256._.CA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.CA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.CA', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117771
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 19939438443062880, 26584438305803368521974190053290800480, 1209600, 51755131533883781284650, 608358522430652395702110905971241981344, 9209579619345385168428503525571305520, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 17374858076278030769009554417497596955, 42378967770422286201683623371542706576761836909, 17374858402944086181536212972629244109, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.256._.CB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.CB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.CB', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117772
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 51755131533883781284650, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 42378967770422286201683623371542706576761836909, 19679114160, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464, 326666135267674984852880464163], 'label': '51200000000.gt.256._.CC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.CC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.CC', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117773
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 51755131533883781284650, 608358522430652395702110905971241981344, 9209579619345385168428503525571305520, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 17374858076278030769009554417497596955, 42378967770422286201683623371542706576761836909, 17374858402944086181536212972629244109, 19679114160, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.256._.CD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.CD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.CD', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117774
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 51755131533883781284650, 608358522430652395702110905971241981344, 9209579619345385168428503525571305520, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 131783, 42378967770422286201683623371542706576761836909, 17374858402944086181536212972629244109, 19679114160, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.256._.CE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.CE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.CE', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117775
{'ambient': '51200000000.gt', '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': 2, 'diagramx': None, 'generators': [9157942499263344915612530054400, 96, 19939425948731543, 26584437368957304324849359353518240023, 17374858686457931598408441266086886400, 28100031020285230022464, 1180931223598367578444978690220295148800, 19679114160, 42378967770422286201683651471573726605724793613, 348713164800, 82637946751355846939948523742243424762463340890, 20425781607291124255753750220488400418483714503, 7185074400, 62762714095992133411200866892008914944000000064, 128424084332544000, 774596117200813785330967943971318531064319559170, 131783, 79855162554075086032560, 26584438305803288666811636621065730480, 647475894284496076800000, 9209579292679325310996990141924304573, 480445590912251800777331973907405017292279187760, 408960], 'label': '51200000000.gt.4._.BT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BT', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117776
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 19939438443062880, 26584438305803368521974190053290800480, 1209600, 51755131533883781284650, 608358522430652395702110905971241981344, 9209579619345385168428503525571305520, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 42378967770422286201683623371542706576761836909, 17374858402944086181536212972629244109, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464, 17374858076278030769003842495857734475], 'label': '51200000000.gt.256._.CF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.CF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.CF', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117777
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 51755131533883781284650, 608358522430652395702110905971241981344, 9209579619345385168428503525571305520, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 42378967770422286201683623371542706576761836909, 17374858402944086181536212972629244109, 19679114160, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464, 17374858076278030769003842495857734475], 'label': '51200000000.gt.256._.CG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.CG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.CG', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117778
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 19939438443062880, 26584438305803368521974190053290800480, 1209600, 26584437368957304324849359192574912029, 51755131533883781284650, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209964160, 9157942499263344915263815680090, 17374858076278030769009554417497596955, 42378967770422286201683623371542706576761836909, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.256._.CH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.CH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.CH', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117779
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 26584437368957304324849359192574912029, 51755131533883781284650, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209964160, 9157942499263344915263815680090, 17374858076278030769009554417497596955, 42378967770422286201683623371542706576761836909, 19679114160, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.256._.CI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.CI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.CI', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117780
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764080503, 26584437368957304324849359192574912029, 51755131533883781284650, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209964160, 9157942499263344915263815680090, 42378967770422286201683623371542706576761836909, 19679114160, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.256._.CJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.CJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.CJ', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117781
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 19939438443062880, 26584438305803368521974190053290800480, 1209600, 26584437368957304324849359192574912029, 51755131533883781284650, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209964160, 9157942499263344915263815680090, 42378967770422286201683623371542706576761836909, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464, 17374858076278030769003842495857734475], 'label': '51200000000.gt.256._.CK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.CK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.CK', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117782
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 51755131533883781284650, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 42378967770422286201683623371542706576761836909, 17374858076278030769003842495857779843, 19679114160, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.256._.CL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.CL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.CL', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117783
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 26584437368957304324849359192574912029, 51755131533883781284650, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209964160, 9157942499263344915263815680090, 42378967770422286201683623371542706576761836909, 19679114160, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464, 17374858076278030769003842495857734475], 'label': '51200000000.gt.256._.CM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.CM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.CM', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117784
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 51755131533883781284650, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 42378967770422286201683623371542706576761836909, 280216752570, 1180931214473494978994271197257957580224, 326666135267674984852880433195, 9209579619345385168434215452957948080, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.256._.CN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.CN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.CN', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117785
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 51755131533883781284650, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 42378967770422286201683623371542706576761836909, 19679114160, 280216752570, 1180931214473494978994271197257957580224, 326666135267674984852880433195, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.256._.CO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.CO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.CO', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117786
{'ambient': '51200000000.gt', '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': 2, 'diagramx': None, 'generators': [9157942499263344915612530054400, 96, 19939425948731543, 26584437368957304324849359353518240023, 17374858686457931598408441266086886400, 28100031020285230022464, 1180931223598367578444978690220295148800, 19679114160, 42378967770422286201683651471573726605724793613, 348713164800, 20425781607291124255753750220488400418483714503, 7185074400, 62762714095992133411200866892008914944000000064, 82637946751355846939948523742256250432664615050, 128424084332544000, 774596117200813785330967943971318531064319559170, 131783, 79855162554075086032560, 26584438305803288666811636621065730480, 647475894284496076800000, 9209579292679325310996990141924304573, 480445590912251800777331973907405017292279187760, 408960], 'label': '51200000000.gt.4._.BU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BU', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117787
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 26584437368957304324849359192574912029, 51755131533883781284650, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209964160, 9157942499263344915263815680090, 131783, 42378967770422286201683623371542706576761836909, 19679114160, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.256._.CP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.CP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.CP', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117788
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 51755131533883781284650, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 42378967770422286201683623371542706576761836909, 280216752570, 1180931214473494978994271197257957580224, 9209579619345385168434215452957948080, 62762714400179639112255222441031994191620998464, 17374858076278030769003842495857734475], 'label': '51200000000.gt.256._.CQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.CQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.CQ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117789
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 51755131533883781284650, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 42378967770422286201683623371542706576761836909, 19679114160, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464, 17374858076278030769003842495857734475], 'label': '51200000000.gt.256._.CR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.CR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.CR', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117790
{'ambient': '51200000000.gt', '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': [384142702560432544, 17374858076278030769003842515536762235, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 51755131533883781284650, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209964160, 9157942499263344915263815680090, 42378967770422286201683623371542706576761836909, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.256._.CS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.CS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.CS', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117791
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 51755131533883781284650, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209964160, 9157942499263344915263815680090, 42378967770422286201683623371542706576761836909, 19679114160, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.256._.CT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.CT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.CT', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117792
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 51755131533883781284650, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209928903, 9157942499263344915263815680090, 42378967770422286201683623371542706576761836909, 19679114160, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.256._.CU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.CU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.CU', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117793
{'ambient': '51200000000.gt', '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': [384142702560432544, 17374858076278030769003842515536762235, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 51755131533883781284650, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 42378967770422286201683623371542706576761836909, 280216752570, 9209579619345385168421389777008700080, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.256._.CV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.CV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.CV', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117794
{'ambient': '51200000000.gt', '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': [384142702560432544, 17374858076278030769003842515536762235, 79855162554169010263056, 33, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 51755131533883781284650, 608358522430652395702110905971241981344, 7113748562001360, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 42378967770422286201683623371542706576761836909, 280216752570, 291492595964729687397704280424132626339911267246, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.256._.CW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.CW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.CW', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117795
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 1209600, 51755131533883781284650, 608358522430652395702110905971241981344, 610180032439678746674179031843, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 42378967770422286201683623371542706576761836909, 936846064197112005217379760509, 280216752570, 1180931214473494978994271197257957580224, 936846064197104891461632816509, 936846064197124830900074246429, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.512._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.A', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117796
{'ambient': '51200000000.gt', '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': [384142702560432544, 26584437368957304324862184850281088029, 79855162554169010263056, 33, 1209600, 51755131533883781284650, 608358522430652395702110905971241981344, 610180032439678746674179031843, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 42378967770422286201683623371542706576761836909, 280216752570, 1180931214473494978994271197257957580224, 936846064197104891461632816509, 936846064197124830900074246429, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.512._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.B', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117797
{'ambient': '51200000000.gt', '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': [9157942499263344915612530054400, 96, 19939425948731543, 26584437368957304324849359353518240023, 17374858686457931598408441266086886400, 28100031020285230022464, 1180931223598367578444978690220295148800, 19679114160, 42378967770422286201683651471573726605724793613, 348713164800, 20425781607291124255753750220488400418483714503, 7185074400, 62762714095992133411200866892008914944000000064, 420297990190405276939795813780487079846841086810, 128424084332544000, 774596117200813785330967943971318531064319559170, 131783, 79855162554075086032560, 26584438305803288666811636621065730480, 647475894284496076800000, 9209579292679325310996990141924304573, 408960], 'label': '51200000000.gt.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}
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id: 222117798
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 1209600, 51755131533883781284650, 608358522430652395702110905971241981344, 26584437695623336082295443566960634243, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 42378967770422286201683623371542706576761836909, 26584438305803368521967076317222789200, 280216752570, 1180931214473494978994271197257957580224, 936846064197104891461632816509, 936846064197124830900074246429, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.512._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.C', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117799
{'ambient': '51200000000.gt', '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': [384142702560432544, 7113761056010160, 79855162554169010263056, 33, 1209600, 51755131533883781284650, 608358522430652395702110905971241981344, 26584437695623336082295443566960634243, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 42378967770422286201683623371542706576761836909, 280216752570, 1180931214473494978994271197257957580224, 936846064197104891461632816509, 936846064197124830900074246429, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.512._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.D', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117800
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 51755137245805421070810, 26584438305803368521974190053290800480, 1209600, 9209579619345357068403195609848263050, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 42378967770422286201683675126674240427930979203, 19679114160, 280216752570, 1180931214473494978994271197257957580224, 42378967778587564985282380584706744310074678389, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.512._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.E', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117801
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 51755137245805421070810, 26584438305803368521974190053290800480, 1209600, 42378967787797143667781621700873514500702712429, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 19679114160, 280216752570, 1180931214473494978994271197257957580224, 42378967778587564985282380584706744310074678389, 62762714400179639112255222441031994191620998464, 42378967770422286201683623371542706563828723869], 'label': '51200000000.gt.512._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.F', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117802
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 51755137245805421070810, 26584438305803368521974190053290800480, 1209600, 9209579619345357068403195609848263050, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 19679114160, 280216752570, 12494039760, 1180931214473494978994271197257957580224, 42378967778587564985282380584706744310074678389, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.512._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.G', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117803
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 51755137245805421070810, 26584438305803368521974190053290800480, 1209600, 42378967787797143667781621700873514500702712429, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 51755131533877993399050, 19679114160, 280216752570, 1180931214473494978994271197257957580224, 42378967778587564985282380584706744310074678389, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.512._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.H', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117804
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 42378967770422286201683623371542706563828678506, 26584438305803368521974190053290800480, 1209600, 9209579619345357068403195609848263050, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 26584437368957252569737765076268978519, 9157942499263344915263815680090, 19679114160, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464, 42378967770422286201683623371562645995524023069], 'label': '51200000000.gt.512._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.I', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117805
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 42378967770422286201683675126674240427931014475, 1209600, 42378967787797143667781621700873514500702712429, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 26584437368957252569737765076268978519, 9157942499263344915263815680090, 19679114160, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464, 42378967770422286201683623371562645995524023069], 'label': '51200000000.gt.512._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.J', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117806
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 9209579619345357068403195609848263050, 51755131533877993267286, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 26584437368957252569737765076268978519, 9157942499263344915263815680090, 19679114160, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464, 42378967770422286201683623371562645995524023069], 'label': '51200000000.gt.512._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.K', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117807
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 42378967787797143667781621700873514500702712429, 608358522430652395702110905971241981344, 12494008823, 20425781607291124255753750220488400069770140839, 26584437368957252569737765076268978519, 9157942499263344915263815680090, 19679114160, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464, 42378967770422286201683623371562645995524023069], 'label': '51200000000.gt.512._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.L', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117808
{'ambient': '51200000000.gt', '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': [62762714095992133411203348686102428303393977696, 28100031020285230022464, 608358494990699441747094624795772473696, 7113748562408880, 19679114160, 936846115952229311596851692189, 187770078720, 9209579292679325310996990048080950429, 774596117487626362548314482200449263617340857570, 20425781607291124255753670365345785762160668743, 9157942499263344915544033067553, 42378967778587564985282352484668610631702216890, 384142771057661280, 26584437368957224469726684209804030919, 647475510142073733120000, 79855162553888794326993, 19939418764438320, 7185105383, 231331231497949001402928200263669506773614559944, 816513, 9209579902859334095556685388165334989, 408960], 'label': '51200000000.gt.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}
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id: 222118036
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 26584437368957304324849359192574912029, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 131783, 19679114160, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.2048._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2048.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2048._.L', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117809
{'ambient': '51200000000.gt', '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': [9209579619345357068423135028611889210, 42378967770422286201683675126674240435115968643, 384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 51755131533865060274490, 1209600, 608358522430652395702110905971241981344, 17374858402944114281567233344997267319, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 17374858076278030769009554417497566003, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.512._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.M', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117810
{'ambient': '51200000000.gt', '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': [9209579619345357068423135028611889210, 42378967770422286201683675126674240435115968643, 384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 51755131533865060274490, 1209600, 17374858076277979013872308999189379724, 608358522430652395702110905971241981344, 17374858402944114281567233344997267319, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.512._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.N', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117811
{'ambient': '51200000000.gt', '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': [42378967770422286201683675126674240435115968643, 384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 51755131533865060274490, 1209600, 17374858076277979013872308999189379724, 608358522430652395702110905971241981344, 9209579619345385168428503525571305520, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 17374858402944086181536212972629244109, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.512._.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.O', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.O', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117812
{'ambient': '51200000000.gt', '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': [42378967770422286201683675126674240435115968643, 384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 51755131533865060274490, 1209600, 608358522430652395702110905971241981344, 9209579619345385168428503525571305520, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 17374858402944086181536212972629244109, 17374858076278030769009554417497566003, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.512._.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.P', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.P', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117813
{'ambient': '51200000000.gt', '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': [9209579619345357068423135028611889210, 42378967770422286201683675126674240435115968643, 384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 51755131533865060274490, 1209600, 608358522430652395702110905971241981344, 17374858402944114281567233344997267319, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 17374858076278030769003842495857779843, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.512._.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.Q', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.Q', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117814
{'ambient': '51200000000.gt', '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': [9209579619345357068423135028611889210, 42378967770422286201683675126674240435115968643, 384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 51755131533865060274490, 1209600, 17374858076277979013892248417953410524, 608358522430652395702110905971241981344, 17374858402944114281567233344997267319, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.512._.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.R', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.R', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117815
{'ambient': '51200000000.gt', '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': [42378967770422286201683675126674240435115968643, 384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 51755131533865060274490, 1209600, 17374858076277979013892248417953410524, 608358522430652395702110905971241981344, 9209579619345385168428503525571305520, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 17374858402944086181536212972629244109, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.512._.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.S', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.S', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117816
{'ambient': '51200000000.gt', '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': [42378967770422286201683675126674240435115968643, 384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 51755131533865060274490, 1209600, 608358522430652395702110905971241981344, 9209579619345385168428503525571305520, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 17374858076278030769003842495857779843, 17374858402944086181536212972629244109, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.512._.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.T', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.T', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117817
{'ambient': '51200000000.gt', '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': [42378967770422286201683675126674240435115968643, 384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 51755131533865060274490, 1209600, 26584437368957304324849359192574912029, 9209579619345357068403195609848263050, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 17374858076278030769009554417497566003, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.512._.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.U', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.U', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117818
{'ambient': '51200000000.gt', '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': [42378967770422286201683675126674240435115968643, 384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 51755131533865060274490, 1209600, 17374858076277979013872308999189379724, 26584437368957304324849359192574912029, 9209579619345357068403195609848263050, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.512._.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.V', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.V', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117819
{'ambient': '51200000000.gt', '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': [62762714095992133411203348686102428303393977696, 28100031020285230022464, 608358494990699441747094624795772473696, 7113748562408880, 19679114160, 936846115952229311596851692189, 187770078720, 9209579292679325310996990048080950429, 774596117487626362548314482200449263617340857570, 20425781607291124255753670365345785762160668743, 9157942499263344915544033067553, 131783, 42378967778587564985282352484668610631702216890, 384142771057661280, 26584437368957224469726684209804030919, 647475510142073733120000, 79855162553888794326993, 19939418764438320, 231331231497949001402928200263669506773614559944, 816513, 9209579902859334095556685388165334989, 408960], 'label': '51200000000.gt.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}
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id: 222117820
{'ambient': '51200000000.gt', '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': [42378967770422286201683675126674240435115968643, 384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 51755131533865060274490, 1209600, 17374858076277979013872308999189379724, 26584437368957304324849359192574912029, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209964160, 9157942499263344915263815680090, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.512._.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.W', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.W', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117821
{'ambient': '51200000000.gt', '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': [42378967770422286201683675126674240435115968643, 384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 51755131533865060274490, 1209600, 26584437368957304324849359192574912029, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209964160, 9157942499263344915263815680090, 17374858076278030769009554417497566003, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.512._.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.X', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.X', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117822
{'ambient': '51200000000.gt', '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': [42378967770422286201683675126674240435115968643, 384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 51755131533865060274490, 1209600, 26584437368957304324849359192574912029, 9209579619345357068403195609848263050, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 17374858076278030769003842495857779843, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.512._.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.Y', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.Y', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117823
{'ambient': '51200000000.gt', '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': [42378967770422286201683675126674240435115968643, 384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 51755131533865060274490, 1209600, 26584437368957304324849359192574912029, 9209579619345357068403195609848263050, 17374858076277979013892248417953410524, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.512._.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.Z', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.Z', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117824
{'ambient': '51200000000.gt', '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': [42378967770422286201683675126674240435115968643, 384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 51755131533865060274490, 1209600, 26584437368957304324849359192574912029, 17374858076277979013892248417953410524, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209964160, 9157942499263344915263815680090, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.512._.BA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.BA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.BA', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117825
{'ambient': '51200000000.gt', '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': [42378967770422286201683675126674240435115968643, 384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 51755131533865060274490, 1209600, 26584437368957304324849359192574912029, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209964160, 9157942499263344915263815680090, 17374858076278030769003842495857779843, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.512._.BB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.BB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.BB', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117826
{'ambient': '51200000000.gt', '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': [42378967770422286201683675126674240435115968643, 384142702560432544, 79855162554169010263056, 33, 51755137245805421070810, 26584438305803368521974190053290800480, 51755131533865060274490, 1209600, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 26584437368957252569737765076268978519, 9157942499263344915263815680090, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464, 326666135267674984852880464163], 'label': '51200000000.gt.512._.BC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.BC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.BC', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117827
{'ambient': '51200000000.gt', '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': [42378967770422286201683675126674240435115968643, 384142702560432544, 79855162554169010263056, 33, 51755137245805421070810, 26584438305803368521974190053290800480, 51755131533865060274490, 1209600, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 26584437368957252569737765076268978519, 9157942499263344915263815680090, 280216752570, 326666163367700293314664530044, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.512._.BD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.BD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.BD', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117828
{'ambient': '51200000000.gt', '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': [384142702560432544, 42378967770422286201683675126674240435115968643, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 51755131533865060274490, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 280216752570, 326666163367700293314664530044, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.512._.BE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.BE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.BE', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117829
{'ambient': '51200000000.gt', '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': [384142702560432544, 42378967770422286201683675126674240435115968643, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 51755131533865060274490, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464, 326666135267674984852880464163], 'label': '51200000000.gt.512._.BF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.BF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.BF', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117830
{'ambient': '51200000000.gt', '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': [62762714095992133411203348686102428303393977696, 28100031020285230022464, 608358494990699441747094624795772473696, 7113748562408880, 19679114160, 936846115952229311596851692189, 187770078720, 9209579292679325310996990048080950429, 774596117487626362548314482200449263617340857570, 20425781607291124255753670365345785762160668743, 9157942499263344915544033067553, 42378967778587564985282352484668610631702216890, 384142771057661280, 26584437368957224469726684209804030919, 231331231497949001402926960490745499582152671944, 647475510142073733120000, 79855162553888794326993, 19939418764438320, 7185105383, 816513, 9209579902859334095556685388165334989, 408960], 'label': '51200000000.gt.8._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.D', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117831
{'ambient': '51200000000.gt', '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': [384142702560432544, 17374858076278030769003842515536762235, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 51755131533883781284650, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 42378967770422286201683623371542706576761836909, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.512._.BG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.BG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.BG', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117832
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 51755131533883781284650, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209964160, 9157942499263344915263815680090, 42378967770422286201683623371542706576761836909, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.512._.BH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.BH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.BH', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117833
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 51755131533883781284650, 608358522430652395702110905971241981344, 9209580229525337752970347577112407835, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 9209580229525337752957521887232000075, 42378967770422286201683623371542706576761836909, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.512._.BI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.BI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.BI', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117834
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 51755131533883781284650, 608358522430652395702110905971241981344, 9209580229525337752970347577112407835, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 42378967770422286201683623371542706576761836909, 280216752570, 17374858076278030769016668166059193675, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.512._.BJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.BJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.BJ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117835
{'ambient': '51200000000.gt', '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': [42378967770422286201683675126674240435115968643, 384142702560432544, 79855162554169010263056, 33, 51755137245805421070810, 26584438305803368521974190053290800480, 51755131533865060274490, 1209600, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 26584437368957252569737765076268978519, 9157942499263344915263815680090, 17374858076278030769003842495857779843, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.512._.BK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.BK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.BK', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117836
{'ambient': '51200000000.gt', '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': [42378967770422286201683675126674240435115968643, 384142702560432544, 79855162554169010263056, 33, 51755137245805421070810, 26584438305803368521974190053290800480, 51755131533865060274490, 1209600, 17374858076277979013892248417953410524, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 26584437368957252569737765076268978519, 9157942499263344915263815680090, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.512._.BL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.BL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.BL', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117837
{'ambient': '51200000000.gt', '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': [384142702560432544, 42378967770422286201683675126674240435115968643, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 51755131533865060274490, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 17374858076277979013892248417953410524, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.512._.BM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.BM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.BM', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117838
{'ambient': '51200000000.gt', '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': [384142702560432544, 42378967770422286201683675126674240435115968643, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 51755131533865060274490, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 17374858076278030769003842495857779843, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.512._.BN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.BN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.BN', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117934
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 26584437368957304324849359192574912029, 51755131533883781284650, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 42378967770422286201683623371542706576761836909, 9209579292679273555865456095802196563, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.1024._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1024.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1024._.K', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117839
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 26584437368957304324849359192574912029, 51755131533883781284650, 608358522430652395702110905971241981344, 26584437695623336082295443566960634243, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 42378967770422286201683623371542706576761836909, 280216752570, 1180931214473494978994271197257957580224, 17374858402944086181536212966881260189, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.512._.BO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.BO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.BO', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117840
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 26584437368957304324849359192574912029, 51755131533883781284650, 608358522430652395702110905971241981344, 26584437695623336082295443566960634243, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 42378967770422286201683623371542706576761836909, 280216752570, 1180931214473494978994271197257957580224, 9209579619345385168434215452957948080, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.512._.BP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.BP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.BP', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117841
{'ambient': '51200000000.gt', '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': [384142702560432544, 12494008823, 19679114160, 82637946751355846939948523742243424762463340890, 1209600, 9157942499263344915263815680090, 51755131533883781284650, 280216752570, 774596117487626362548314482200449263442505959010, 131783, 42378967770422286201683623371542706576761836909, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464, 19939418764030800, 33, 26584437368957304324869298611337098189, 17374858076278030769003842495857734475, 7113748562001360, 544311317165518819855853074144363305461320961235, 79855162554169010263056, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209964160, 26584438305803368521974190053290800480], 'label': '51200000000.gt.2._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2._.E', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117842
{'ambient': '51200000000.gt', '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': [62762714095992133411203348686102428303393977696, 28100031020285230022464, 608358494990699441747094624795772473696, 7113748562408880, 19679114160, 936846115952229311596851692189, 187770078720, 9209579292679325310996990048080950429, 774596117487626362548314482200449263617340857570, 20425781607291124255753670365345785762160668743, 9157942499263344915544033067553, 131783, 42378967778587564985282352484668610631702216890, 384142771057661280, 26584437368957224469726684209804030919, 231331231497949001402926960490745499582152671944, 647475510142073733120000, 79855162553888794326993, 19939418764438320, 816513, 9209579902859334095556685388165334989, 408960], 'label': '51200000000.gt.8._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.E', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117843
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 26584437368957304324849359192574912029, 51755131533883781284650, 608358522430652395702110905971241981344, 26584437695623336082295443566960634243, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 42378967770422286201683623371542706576761836909, 280216752570, 26584437368957304324869298591657984029, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.512._.BQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.BQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.BQ', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117844
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 51755131533883781284650, 17374858076278030769009554437176548395, 608358522430652395702110905971241981344, 9209579619345385168428503525571305520, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 42378967770422286201683623371542706576761836909, 17374858402944086181536212972629244109, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.512._.BR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.BR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.BR', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117845
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 26584437368957304324849359192574912029, 51755131533883781284650, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 42378967770422286201683623371542706576761836909, 19679114160, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464, 326666135267674984852880464163], 'label': '51200000000.gt.512._.BS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.BS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.BS', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117846
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 51755131533883781284650, 608358522430652395702110905971241981344, 9209579619345385168428503525571305520, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 17374858076278030769009554417497596955, 42378967770422286201683623371542706576761836909, 17374858402944086181536212972629244109, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.512._.BT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.BT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.BT', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117847
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 51755131533883781284650, 608358522430652395702110905971241981344, 9209579619345385168428503525571305520, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 42378967770422286201683623371542706576761836909, 17374858402944086181536212972629244109, 19679114160, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.512._.BU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.BU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.BU', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117848
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 26584437368957304324849359192574912029, 51755131533883781284650, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209964160, 9157942499263344915263815680090, 42378967770422286201683623371542706576761836909, 19679114160, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.512._.BV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.BV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.BV', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117849
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 26584437368957304324849359192574912029, 51755131533883781284650, 608358522430652395702110905971241981344, 26584437695623336082295443566960634243, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 42378967770422286201683623371542706576761836909, 19679114160, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.512._.BW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.BW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.BW', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117850
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 26584437368957304324849359192574912029, 51755131533883781284650, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 26584437695623336082295443566960588875, 42378967770422286201683623371542706576761836909, 19679114160, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.512._.BX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.BX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.BX', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117851
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 26584437368957304324849359192574912029, 51755131533883781284650, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 42378967770422286201683623371542706576761836909, 280216752570, 326666135267674984852880433195, 1180931214473494978994271197257957580224, 17374858402944086181536212966881260189, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.512._.BY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.BY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.BY', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117852
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 26584437368957304324849359192574912029, 51755131533883781284650, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 42378967770422286201683623371542706576761836909, 280216752570, 1180931214473494978994271197257957580224, 326666135267674984852880433195, 9209579619345385168434215452957948080, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.512._.BZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.BZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.BZ', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117853
{'ambient': '51200000000.gt', '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': [62762714095992133411203348686102428303393977696, 28100031020285230022464, 608358494990699441747094624795772473696, 7113748562408880, 19679114160, 936846115952229311596851692189, 187770078720, 9209579292679325310996990048080950429, 20425781607291124255753670365345785762160668743, 774596117487626362548314482200449263442505959010, 9157942499263344915544033067553, 42378967778587564985282352484668610631702216890, 26584437368957224469726684209804030919, 384142771057661280, 647475510142073733120000, 79855162553888794326993, 19939418764438320, 7185105383, 231331231497949001402928200263669506773614559944, 816513, 9209579902859334095556685388165334989, 408960], 'label': '51200000000.gt.8._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.F', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117854
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 26584437368957304324849359192574912029, 51755131533883781284650, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 42378967770422286201683623371542706576761836909, 280216752570, 26584437368957304324869298591657984029, 326666135267674984852880433195, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.512._.CA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.CA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.CA', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117855
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 26584437368957304324849359192574912029, 51755131533883781284650, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 42378967770422286201683623371542706576761836909, 19679114160, 280216752570, 1180931214473494978994271197257957580224, 326666135267674984852880433195, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.512._.CB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.CB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.CB', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117856
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 9209579292679273555865456115481178955, 1209600, 26584437368957304324849359192574912029, 51755131533883781284650, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 42378967770422286201683623371542706576761836909, 19679114160, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.512._.CC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.CC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.CC', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117857
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 26584437368957304324849359192574912029, 51755131533883781284650, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 42378967770422286201683623371542706576761836909, 280216752570, 1180931214473494978994271197257957580224, 17374858402944086181536212966881260189, 62762714400179639112255222441031994191620998464, 9209579292679273555865456115481057283], 'label': '51200000000.gt.512._.CD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.CD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.CD', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117858
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 26584437368957304324849359192574912029, 51755131533883781284650, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 42378967770422286201683623371542706576761836909, 280216752570, 1180931214473494978994271197257957580224, 9209579619345385168434215452957948080, 62762714400179639112255222441031994191620998464, 9209579292679273555865456115481057283], 'label': '51200000000.gt.512._.CE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.CE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.CE', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117859
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 26584437368957304324849359192574912029, 51755131533883781284650, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 42378967770422286201683623371542706576761836909, 280216752570, 1180931214473494978994271197257957580224, 26584437368957304324869298591657984029, 62762714400179639112255222441031994191620998464, 9209579292679273555865456115481057283], 'label': '51200000000.gt.512._.CF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.CF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.CF', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117860
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 26584437368957304324849359192574912029, 51755131533883781284650, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 42378967770422286201683623371542706576761836909, 19679114160, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464, 9209579292679273555865456115481057283], 'label': '51200000000.gt.512._.CG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.CG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.CG', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117861
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 26584437368957304324849359192574912029, 51755131533883781284650, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 42378967770422286201683623371542706576761836909, 17374858076278030769003842495857779843, 19679114160, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.512._.CH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.CH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.CH', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117862
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 26584437368957304324849359192574912029, 51755131533883781284650, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 42378967770422286201683623371542706576761836909, 280216752570, 1180931214473494978994271197257957580224, 17374858402944086181536212966881260189, 62762714400179639112255222441031994191620998464, 17374858076278030769003842495857734475], 'label': '51200000000.gt.512._.CI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.CI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.CI', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117863
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 26584437368957304324849359192574912029, 51755131533883781284650, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 42378967770422286201683623371542706576761836909, 280216752570, 1180931214473494978994271197257957580224, 9209579619345385168434215452957948080, 62762714400179639112255222441031994191620998464, 17374858076278030769003842495857734475], 'label': '51200000000.gt.512._.CJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.CJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.CJ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117864
{'ambient': '51200000000.gt', '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': [62762714095992133411203348686102428303393977696, 28100031020285230022464, 608358494990699441747094624795772473696, 7113748562408880, 19679114160, 936846115952229311596851692189, 187770078720, 9209579292679325310996990048080950429, 20425781607291124255753670365345785762160668743, 774596117487626362548314482200449263442505959010, 9157942499263344915544033067553, 131783, 42378967778587564985282352484668610631702216890, 26584437368957224469726684209804030919, 384142771057661280, 647475510142073733120000, 79855162553888794326993, 19939418764438320, 231331231497949001402928200263669506773614559944, 816513, 9209579902859334095556685388165334989, 408960], 'label': '51200000000.gt.8._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.G', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117865
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 26584437368957304324849359192574912029, 51755131533883781284650, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 42378967770422286201683623371542706576761836909, 280216752570, 1180931214473494978994271197257957580224, 26584437368957304324869298591657984029, 62762714400179639112255222441031994191620998464, 17374858076278030769003842495857734475], 'label': '51200000000.gt.512._.CK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.CK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.CK', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117866
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 26584437368957304324849359192574912029, 51755131533883781284650, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 42378967770422286201683623371542706576761836909, 19679114160, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464, 17374858076278030769003842495857734475], 'label': '51200000000.gt.512._.CL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.CL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.CL', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117867
{'ambient': '51200000000.gt', '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': [384142702560432544, 17374858076278030769003842515536762235, 79855162554169010263056, 33, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 51755131533883781284650, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 26584438305803368521967076304728794800, 42378967770422286201683623371542706576761836909, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.512._.CM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.CM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.CM', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117868
{'ambient': '51200000000.gt', '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': [9209579619345357068423135028611889210, 42378967770422286201683675126674240435115968643, 384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 608358522430652395702110905971241981344, 17374858402944114281567233344997267319, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 19679114160, 280216752570, 51755137245805421116166, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.512._.CN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.CN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.CN', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222118037
{'ambient': '51200000000.gt', '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': [42378967770422286201683675126674240435115968643, 384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 19679114160, 280216752570, 1180931214473494978994271197257957580224, 17374858402944114281567233344997312656, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.2048._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2048.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2048._.M', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117869
{'ambient': '51200000000.gt', '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': [42378967770422286201683675126674240435115968643, 384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 608358522430652395702110905971241981344, 9209579619345385168428503525571305520, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 19679114160, 17374858402944086181536212972629244109, 280216752570, 51755137245805421116166, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.512._.CO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.CO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.CO', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117870
{'ambient': '51200000000.gt', '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': [42378967770422286201683675126674240435115968643, 384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764080503, 608358522430652395702110905971241981344, 9209579619345385168428503525571305520, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 19679114160, 17374858402944086181536212972629244109, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.512._.CP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.CP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.CP', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117871
{'ambient': '51200000000.gt', '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': [9209579619345357068423135028611889210, 42378967770422286201683675126674240435115968643, 384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 608358522430652395702110905971241981344, 17374858402944114281567233344997267319, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 131783, 19679114160, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.512._.CQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.CQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.CQ', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117872
{'ambient': '51200000000.gt', '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': [9209579619345357068423135028611889210, 42378967770422286201683675126674240435115968643, 384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 608358522430652395702110905971241981344, 17374858402944114281567233344997267319, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 19679114160, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464, 51755131533883781253686], 'label': '51200000000.gt.512._.CR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.CR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.CR', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117873
{'ambient': '51200000000.gt', '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': [42378967770422286201683675126674240435115968643, 384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 608358522430652395702110905971241981344, 9209579619345385168428503525571305520, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 19679114160, 17374858402944086181536212972629244109, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464, 51755131533883781253686], 'label': '51200000000.gt.512._.CS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.CS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.CS', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117874
{'ambient': '51200000000.gt', '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': [42378967770422286201683675126674240435115968643, 384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 608358522430652395702110905971241981344, 9209579619345385168428503525571305520, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 131783, 19679114160, 17374858402944086181536212972629244109, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.512._.CT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.CT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.CT', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117875
{'ambient': '51200000000.gt', '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': [62762714095992133411203348686102428303393977696, 28100031020285230022464, 608358494990699441747094624795772473696, 7113748562408880, 19679114160, 936846115952229311596851692189, 187770078720, 9209579292679325310996990048080950429, 20425781607291124255753670365345785762160668743, 774596117487626362548314482200449263442505959010, 9157942499263344915544033067553, 42378967778587564985282352484668610631702216890, 384142771057661280, 26584437368957224469726684209804030919, 231331231497949001402926960490745499582152671944, 647475510142073733120000, 79855162553888794326993, 19939418764438320, 7185105383, 816513, 9209579902859334095556685388165334989, 408960], 'label': '51200000000.gt.8._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.H', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117876
{'ambient': '51200000000.gt', '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': [42378967770422286201683675126674240435115968643, 384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764080503, 26584437368957304324849359192574912029, 9209579619345357068403195609848263050, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 19679114160, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.512._.CU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.CU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.CU', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117877
{'ambient': '51200000000.gt', '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': [42378967770422286201683675126674240435115968643, 384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 26584437368957304324849359192574912029, 9209579619345357068403195609848263050, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 19679114160, 280216752570, 51755137245805421116166, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.512._.CV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.CV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.CV', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117878
{'ambient': '51200000000.gt', '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': [42378967770422286201683675126674240435115968643, 384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 26584437368957304324849359192574912029, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209964160, 9157942499263344915263815680090, 19679114160, 280216752570, 51755137245805421116166, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.512._.CW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.CW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.CW', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117879
{'ambient': '51200000000.gt', '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': [42378967770422286201683675126674240435115968643, 384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764080503, 26584437368957304324849359192574912029, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209964160, 9157942499263344915263815680090, 19679114160, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.512._.CX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.CX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.CX', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117880
{'ambient': '51200000000.gt', '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': [42378967770422286201683675126674240435115968643, 384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 26584437368957304324849359192574912029, 9209579619345357068403195609848263050, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 131783, 19679114160, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.512._.CY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.CY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.CY', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117881
{'ambient': '51200000000.gt', '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': [42378967770422286201683675126674240435115968643, 384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 26584437368957304324849359192574912029, 9209579619345357068403195609848263050, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 19679114160, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464, 51755131533883781253686], 'label': '51200000000.gt.512._.CZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.CZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.CZ', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117882
{'ambient': '51200000000.gt', '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': [42378967770422286201683675126674240435115968643, 384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 26584437368957304324849359192574912029, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209964160, 9157942499263344915263815680090, 19679114160, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464, 51755131533883781253686], 'label': '51200000000.gt.512._.DA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.DA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.DA', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117883
{'ambient': '51200000000.gt', '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': [42378967770422286201683675126674240435115968643, 384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 26584437368957304324849359192574912029, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209964160, 9157942499263344915263815680090, 131783, 19679114160, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.512._.DB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.DB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.DB', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117884
{'ambient': '51200000000.gt', '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': [42378967770422286201683675126674240435115968643, 384142702560432544, 79855162554169010263056, 33, 51755137245805421070810, 26584438305803368521974190053290800480, 1209600, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 26584437368957252569737765076268978519, 9209579619345385168434215447209928903, 9157942499263344915263815680090, 19679114160, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.512._.DC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.DC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.DC', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117885
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id: 222117886
{'ambient': '51200000000.gt', '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': [62762714095992133411203348686102428303393977696, 28100031020285230022464, 608358494990699441747094624795772473696, 7113748562408880, 19679114160, 936846115952229311596851692189, 187770078720, 9209579292679325310996990048080950429, 20425781607291124255753670365345785762160668743, 774596117487626362548314482200449263442505959010, 9157942499263344915544033067553, 131783, 42378967778587564985282352484668610631702216890, 384142771057661280, 26584437368957224469726684209804030919, 231331231497949001402926960490745499582152671944, 647475510142073733120000, 79855162553888794326993, 19939418764438320, 816513, 9209579902859334095556685388165334989, 408960], 'label': '51200000000.gt.8._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.I', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117887
{'ambient': '51200000000.gt', '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': [384142702560432544, 42378967770422286201683675126674240435115968643, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 9209579619345357068403195609848217686, 19679114160, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.512._.DE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.DE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.DE', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117888
{'ambient': '51200000000.gt', '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': [384142702560432544, 42378967770422286201683675126674240435115968643, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209928903, 9157942499263344915263815680090, 19679114160, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.512._.DF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.DF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.DF', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117889
{'ambient': '51200000000.gt', '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': [42378967770422286201683675126674240435115968643, 384142702560432544, 79855162554169010263056, 33, 51755137245805421070810, 26584438305803368521974190053290800480, 1209600, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 26584437368957252569737765076268978519, 9157942499263344915263815680090, 131783, 19679114160, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.512._.DG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.DG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.DG', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117890
{'ambient': '51200000000.gt', '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': [42378967770422286201683675126674240435115968643, 384142702560432544, 79855162554169010263056, 33, 51755137245805421070810, 26584438305803368521974190053290800480, 1209600, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 26584437368957252569737765076268978519, 9157942499263344915263815680090, 19679114160, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464, 51755131533883781253686], 'label': '51200000000.gt.512._.DH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.DH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.DH', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117891
{'ambient': '51200000000.gt', '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': [42378967770422286201683675126674240435115968643, 384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 19679114160, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464, 51755131533883781253686], 'label': '51200000000.gt.512._.DI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.DI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.DI', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117892
{'ambient': '51200000000.gt', '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': [42378967770422286201683675126674240435115968643, 384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 131783, 19679114160, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.512._.DJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.DJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.DJ', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117893
{'ambient': '51200000000.gt', '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': [384142702560432544, 17374858076278030769003842515536762235, 79855162554169010263056, 33, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 51755131533883781284650, 608358522430652395702110905971241981344, 7113748562001360, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 42378967770422286201683623371542706576761836909, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.512._.DK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.DK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.DK', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117894
{'ambient': '51200000000.gt', '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': [384142702560432544, 42378967770422286201683675126674240435115968643, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 9209579619345357068403195609848263050, 26584437368957304324869298611337098189, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 19679114160, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.512._.DL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.DL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.DL', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117895
{'ambient': '51200000000.gt', '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': [384142702560432544, 42378967770422286201683675126674240435115968643, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 51755131533865060274490, 1209600, 19939418764030800, 9209579619345357068403195609848263050, 26584437368957304324869298611337098189, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.512._.DM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.DM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.DM', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117896
{'ambient': '51200000000.gt', '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': [42378967770422286201683675126674240435115968643, 384142702560432544, 79855162554169010263056, 33, 51755137245805421070810, 26584438305803368521974190053290800480, 51755131533865060274490, 1209600, 9209579619345357068403195609848263050, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 26584437368957252569737765076268978519, 9157942499263344915263815680090, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.512._.DN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.DN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.DN', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117897
{'ambient': '51200000000.gt', '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': [62762714095992133411203348686102428303393977696, 28100031020285230022464, 608358494990699441747094624795772473696, 7113748562408880, 251219854132988798975110827188214834765376238856, 19679114160, 936846115952229311596851692189, 187770078720, 9209579292679325310996990048080950429, 7185074400, 20425781607291124255753670365345785762160668743, 774596117487626362548314482200449263442505959010, 9157942499263344915544033067553, 42378967778587564985282352484668610631702216890, 384142771057661280, 26584437368957224469726684209804030919, 647475510142073733120000, 79855162553888794326993, 19939418764438320, 816513, 9209579902859334095556685388165334989, 408960], 'label': '51200000000.gt.8._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.J', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117898
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 26584437368957304324849359192574912029, 51755131533883781284650, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209928903, 9157942499263344915263815680090, 42378967770422286201683623371542706576761836909, 19679114160, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.512._.DO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.DO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.DO', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117899
{'ambient': '51200000000.gt', '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': [42378967770422286201683675126674240435115968643, 384142702560432544, 79855162554169010263056, 33, 51755137245805421070810, 26584438305803368521974190053290800480, 1209600, 9209579619345357068403195609848263050, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 26584437368957252569737765076268978519, 9157942499263344915263815680090, 19679114160, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.512._.DP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.DP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.DP', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117900
{'ambient': '51200000000.gt', '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': [42378967770422286201683675126674240435115968643, 384142702560432544, 79855162554169010263056, 33, 51755137245805421070810, 26584438305803368521974190053290800480, 1209600, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 26584437368957252569737765076268978519, 9209579619345385168434215447209964160, 9157942499263344915263815680090, 19679114160, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.512._.DQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.DQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.DQ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117901
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 26584437368957304324849359192574912029, 51755131533883781284650, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 17374858402944086181536212972629279393, 9157942499263344915263815680090, 42378967770422286201683623371542706576761836909, 19679114160, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.512._.DR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.DR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.DR', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117902
{'ambient': '51200000000.gt', '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': [384142702560432544, 1209600, 9157942499263344915263815680090, 280216752570, 26584437368957252569737765076268978519, 51755131533865060274490, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464, 33, 79855162554169010263056, 608358522430652395702110905971241981344, 51755137245805421070810, 20425781607291124255753750220488400069770140839, 42378967770422286201683675126674240435115968643, 9209579619345385168434215447209964160, 26584438305803368521974190053290800480], 'label': '51200000000.gt.512._.DS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.DS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.DS', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117903
{'ambient': '51200000000.gt', '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': [42378967770422286201683675126674240435115968643, 384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 51755131533865060274490, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209964160, 9157942499263344915263815680090, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.512._.DT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.DT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.DT', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117904
{'ambient': '51200000000.gt', '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': [42378967770422286201683675126674240435115968643, 384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209964160, 9157942499263344915263815680090, 19679114160, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.512._.DU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.DU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.DU', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117905
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 51755131533883781284650, 608358522430652395702110905971241981344, 9209579619345385168428503525571305520, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 42378967770422286201683623371542706576761836909, 17374858402944086181536212972629244109, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464, 17374858076278030769003842495857734475], 'label': '51200000000.gt.512._.DV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.DV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.DV', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117906
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 26584437368957304324849359192574912029, 51755131533883781284650, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 42378967770422286201683623371542706576761836909, 19679114160, 280216752570, 26584437368957304324869298611336966433, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.512._.DW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.DW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.DW', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117907
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 26584437368957304324849359192574912029, 51755131533883781284650, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209964160, 9157942499263344915263815680090, 17374858076278030769009554417497596955, 42378967770422286201683623371542706576761836909, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.512._.DX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.DX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.DX', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117908
{'ambient': '51200000000.gt', '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': [62762714095992133411203348686102428303393977696, 28100031020285230022464, 608358494990699441747094624795772473696, 7113748562408880, 19679114160, 936846115952229311596851692189, 187770078720, 9209579292679325310996990048080950429, 7185074400, 20425781607291124255753670365345785762160668743, 774596117487626362548314482200449263442505959010, 9157942499263344915544033067553, 42378967778587564985282352484668610631702216890, 384142771057661280, 26584437368957224469726684209804030919, 231331231497949001402926960490745499582152671944, 647475510142073733120000, 79855162553888794326993, 19939418764438320, 816513, 9209579902859334095556685388165334989, 408960], 'label': '51200000000.gt.8._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.K', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117909
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 51755131533883781284650, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 42378967770422286201683623371542706576761836909, 19679114160, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.512._.DY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.DY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.DY', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117910
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 26584437368957304324849359192574912029, 51755131533883781284650, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209964160, 9157942499263344915263815680090, 42378967770422286201683623371542706576761836909, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464, 17374858076278030769003842495857734475], 'label': '51200000000.gt.512._.DZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.DZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.DZ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117911
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 51755131533883781284650, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 42378967770422286201683623371542706576761836909, 280216752570, 1180931214473494978994271197257957580224, 326666135267674984852880433195, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.512._.EA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.EA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.EA', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117912
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 26584437368957304324849359192574912029, 51755131533883781284650, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 131783, 42378967770422286201683623371542706576761836909, 19679114160, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.512._.EB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.EB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.EB', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117913
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 51755131533883781284650, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 42378967770422286201683623371542706576761836909, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464, 17374858076278030769003842495857734475], 'label': '51200000000.gt.512._.EC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.EC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.EC', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117914
{'ambient': '51200000000.gt', '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': [384142702560432544, 17374858076278030769003842515536762235, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 51755131533883781284650, 608358522430652395702110905971241981344, 9209579619345385168428503525571305520, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 42378967770422286201683623371542706576761836909, 17374858402944086181536212972629244109, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.512._.ED', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.ED', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.ED', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117915
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 19939438443062880, 26584438305803368521974190053290800480, 1209600, 26584437368957304324849359192574912029, 51755131533883781284650, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209964160, 9157942499263344915263815680090, 42378967770422286201683623371542706576761836909, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.512._.EE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.EE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.EE', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117916
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 19939438443062880, 26584438305803368521974190053290800480, 1209600, 51755131533883781284650, 608358522430652395702110905971241981344, 9209579619345385168428503525571305520, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 42378967770422286201683623371542706576761836909, 17374858402944086181536212972629244109, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.512._.EF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.EF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.EF', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117917
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 26584437368957304324849359192574912029, 51755131533883781284650, 17374858076278030769009554437176548395, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209964160, 9157942499263344915263815680090, 42378967770422286201683623371542706576761836909, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.512._.EG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.EG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.EG', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117918
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 51755131533883781284650, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 42378967770422286201683623371542706576761836909, 280216752570, 1180931214473494978994271197257957580224, 9209579619345385168434215452957948080, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.512._.EH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.EH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.EH', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117919
{'ambient': '51200000000.gt', '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': [62762714095992133411203348686102428303393977696, 28100031020285230022464, 608358494990699441747094624795772473696, 7113748562408880, 19679114160, 936846115952229311596851692189, 187770078720, 82637946751355846939948523742243424762463340890, 9209579292679325310996990048080950429, 7185074400, 20425781607291124255753670365345785762160668743, 774596117487626362548314482200449263442505959010, 9157942499263344915544033067553, 42378967778587564985282352484668610631702216890, 384142771057661280, 26584437368957224469726684209804030919, 647475510142073733120000, 79855162553888794326993, 19939418764438320, 816513, 9209579902859334095556685388165334989, 408960], 'label': '51200000000.gt.8._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.L', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117920
{'ambient': '51200000000.gt', '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': [384142702560432544, 17374858076278030769003842515536762235, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 26584437368957304324849359192574912029, 51755131533883781284650, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209964160, 9157942499263344915263815680090, 42378967770422286201683623371542706576761836909, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.512._.EI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.EI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.EI', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117921
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 326666135267674984858628483355, 26584437368957304324869298611337098189, 51755131533883781284650, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 42378967770422286201683623371542706576761836909, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.512._.EJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.EJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.EJ', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117922
{'ambient': '51200000000.gt', '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': [9209579619345357068423135028611889210, 42378967770422286201683675126674240435115968643, 384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764080503, 608358522430652395702110905971241981344, 17374858402944114281567233344997267319, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 19679114160, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.512._.EK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.EK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.EK', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117923
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 42378967770422285591503694442112799966531367686, 51755131533865060274490, 1209600, 608358522430652395702110905971241981344, 42378967778587564701768431657571448979573065763, 20425781607291124255753750220488400069770140839, 26584437368957252569737765076268978519, 9157942499263344915263815680090, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464, 42378967770422286201683623371562645995524023069], 'label': '51200000000.gt.1024._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1024.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1024._.A', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117924
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 42378967770422285591503694442112799966531367686, 51755137245805421070810, 51755131533865060274490, 1209600, 608358522430652395702110905971241981344, 42378967778587564701768431657571448979573065763, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 280216752570, 1180931214473494978994271197257957580224, 42378967778587564985282380584706744310074678389, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.1024._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1024.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1024._.B', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117925
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 51755137245805421070810, 51755131533865060274490, 1209600, 608358522430652395702110905971241981344, 42378967778587564701768431657571448979573065763, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 280216752570, 326666163367700293314664530044, 1180931214473494978994271197257957580224, 42378967778587564985282380584706744310074678389, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.1024._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1024.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1024._.C', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117926
{'ambient': '51200000000.gt', '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': [384142702560432544, 42378967770422286201683675126679952356755754803, 79855162554169010263056, 33, 51755131533865060274490, 1209600, 42378967778587564985282328829575210800433561636, 17374858076277979013892248417953410524, 608358522430652395702110905971241981344, 42378967778587564701768431657571448979573065763, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.1024._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1024.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1024._.D', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117927
{'ambient': '51200000000.gt', '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': [384142702560432544, 42378967770422286201683675126679952356755754803, 79855162554169010263056, 33, 51755131533865060274490, 1209600, 42378967778587564985282328829575210800433561636, 608358522430652395702110905971241981344, 42378967778587564701768431657571448979573065763, 42378967761212706909004429670839804281577756166, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.1024._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1024.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1024._.E', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117928
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 51755131533865060274490, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 608358522430652395702110905971241981344, 42378967778587564701768431657571448979573065763, 42378967761212706909004429670839804281577756166, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.1024._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1024.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1024._.F', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117929
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 51755131533865060274490, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 17374858076277979013892248417953410524, 608358522430652395702110905971241981344, 42378967778587564701768431657571448979573065763, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.1024._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1024.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1024._.G', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117930
{'ambient': '51200000000.gt', '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': [62762714095992133411203348686102428303393977696, 28100031020285230022464, 608358494990699441747094624795772473696, 7113748562408880, 19679114160, 936846115952229311596851692189, 187770078720, 9209579292679325310996990048080950429, 7185074400, 20425781607291124255753670365345785762160668743, 774596117487626362548314482200449263442505959010, 9157942499263344915544033067553, 231331231497949001402926960490745499582152540175, 42378967778587564985282352484668610631702216890, 384142771057661280, 26584437368957224469726684209804030919, 647475510142073733120000, 79855162553888794326993, 19939418764438320, 816513, 9209579902859334095556685388165334989, 408960], 'label': '51200000000.gt.8._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.M', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117931
{'ambient': '51200000000.gt', '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': [42378967770422286201683675126674240435115968643, 384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 51755131533865060274490, 1209600, 26584437368957304324849359192574912029, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 280216752570, 326666163367700293314664530044, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.1024._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1024.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1024._.H', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117932
{'ambient': '51200000000.gt', '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': [42378967770422286201683675126674240435115968643, 384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 51755131533865060274490, 1209600, 26584437368957304324849359192574912029, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464, 326666135267674984852880464163], 'label': '51200000000.gt.1024._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1024.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1024._.I', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117938
{'ambient': '51200000000.gt', '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': [42378967770422286201683675126674240435115968643, 384142702560432544, 9209579619345357068403195604539283290, 79855162554169010263056, 33, 51755137245805421070810, 26584438305803368521974190053290800480, 1209600, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 26584437368957252569737765076268978519, 9157942499263344915263815680090, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.1024._.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1024.O', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1024._.O', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117939
{'ambient': '51200000000.gt', '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': [42378967770422286201683675126674240435115968643, 384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 51755131533865060274490, 1209600, 26584437368957304324849359192574912029, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 280216752570, 9209579292679325310977050542098712996, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.1024._.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1024.P', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1024._.P', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117940
{'ambient': '51200000000.gt', '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': [42378967770422286201683675126674240435115968643, 384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 9209579292679273555865456115481178955, 51755131533865060274490, 1209600, 26584437368957304324849359192574912029, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.1024._.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1024.Q', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1024._.Q', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117941
{'ambient': '51200000000.gt', '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': [62762714095992133411203348686102428303393977696, 28100031020285230022464, 608358494990699441747094624795772473696, 7113748562408880, 19679114160, 936846115952229311596851692189, 187770078720, 9209579292679325310996990048080950429, 7185074400, 20425781607291124255753670365345785762160668743, 774596117487626362548314482200449263442505959010, 9157942499263344915544033067553, 42378967778587564985282352484668610631702216890, 384142771057661280, 26584437368957224469726684209804030919, 647475510142073733120000, 251219854132988798975110827188214834765376207919, 79855162553888794326993, 19939418764438320, 816513, 9209579902859334095556685388165334989, 408960], 'label': '51200000000.gt.8._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.N', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117942
{'ambient': '51200000000.gt', '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': [384142702560432544, 42378967770422286201683675126674240435115968643, 9209579619345357068403195604539283290, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.1024._.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1024.R', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1024._.R', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117943
{'ambient': '51200000000.gt', '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': [384142702560432544, 42378967770422286201683675126674240435115968643, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 280216752570, 1180931214473494978994271197257957580224, 9209579619345385168434215452957948080, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.1024._.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1024.S', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1024._.S', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117944
{'ambient': '51200000000.gt', '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': [42378967770422286201683675126674240435115968643, 384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 51755131533865060274490, 1209600, 26584437368957304324849359192574912029, 17374858076277979013892248417953410524, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.1024._.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1024.T', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1024._.T', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117945
{'ambient': '51200000000.gt', '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': [42378967770422286201683675126674240435115968643, 384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 51755131533865060274490, 1209600, 26584437368957304324849359192574912029, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 17374858076278030769003842495857779843, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.1024._.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1024.U', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1024._.U', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117946
{'ambient': '51200000000.gt', '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': [42378967770422286201683675126674240435115968643, 384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209964160, 9157942499263344915263815680090, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.1024._.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1024.V', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1024._.V', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117947
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 51755131533883781284650, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 42378967770422286201683623371542706576761836909, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.1024._.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1024.W', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1024._.W', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117948
{'ambient': '51200000000.gt', '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': [384142702560432544, 17374858076278030769003842515536762235, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 26584437368957304324849359192574912029, 51755131533883781284650, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 42378967770422286201683623371542706576761836909, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.1024._.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1024.X', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1024._.X', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117949
{'ambient': '51200000000.gt', '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': [384142702560432544, 42378967770422286201683675126679952356755754803, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 42378967778587564985282328829575210800433561636, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 131783, 19679114160, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.1024._.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1024.Y', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1024._.Y', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117950
{'ambient': '51200000000.gt', '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': [384142702560432544, 42378967770422286201683675126674240435115923275, 42378967770422286201683675126679952356755754803, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 42378967778587564985282328829575210800433561636, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 19679114160, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.1024._.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1024.Z', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1024._.Z', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117951
{'ambient': '51200000000.gt', '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': [384142702560432544, 42378967770422286201683675126674240435115923275, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 19679114160, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.1024._.BA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1024.BA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1024._.BA', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117952
{'ambient': '51200000000.gt', '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': [384142702560432544, 12494008823, 19679114160, 1209600, 9157942499263344915263815680090, 51755131533883781284650, 280216752570, 774596117487626362548314482200449263442505959010, 131783, 42378967770422286201683623371542706576761836909, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464, 19939418764030800, 33, 26584437368957304324869298611337098189, 17374858076278030769003842495857734475, 231331231497949001402926960490745499582152671944, 7113748562001360, 544311317165518819855853074144363305461320961235, 79855162554169010263056, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209964160, 26584438305803368521974190053290800480], 'label': '51200000000.gt.2._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2._.F', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117953
{'ambient': '51200000000.gt', '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': [62762714095992133411203348686102428303393977696, 28100031020285230022464, 608358494990699441747094624795772473696, 7113748562408880, 19679114160, 936846115952229311596851692189, 187770078720, 9209579292679325310996990048080950429, 7185074400, 20425781607291124255753670365345785762160668743, 774596117487626362548314482200449263442505959010, 82637946751355846939948523742243424762463305606, 9157942499263344915544033067553, 42378967778587564985282352484668610631702216890, 384142771057661280, 26584437368957224469726684209804030919, 647475510142073733120000, 79855162553888794326993, 19939418764438320, 816513, 9209579902859334095556685388165334989, 408960], 'label': '51200000000.gt.8._.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.O', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.O', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117955
{'ambient': '51200000000.gt', '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': [42378967770422286201683675126674240435115968643, 384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 26584437368957304324849359192574912029, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 9209579619345357068403195609848217686, 19679114160, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.1024._.BC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1024.BC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1024._.BC', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117956
{'ambient': '51200000000.gt', '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': [42378967770422286201683675126674240435115968643, 384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 26584437368957304324849359192574912029, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209928903, 9157942499263344915263815680090, 19679114160, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.1024._.BD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1024.BD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1024._.BD', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117957
{'ambient': '51200000000.gt', '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': [42378967770422286201683675126674240435115968643, 384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 17374858402944086181536212972629279393, 9157942499263344915263815680090, 19679114160, 280216752570, 1180931214473494978994271197257957580224, 26584437368957252569732053154631036999, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.1024._.BE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1024.BE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1024._.BE', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117958
{'ambient': '51200000000.gt', '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': [42378967770422286201683675126674240435115968643, 384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 19679114160, 280216752570, 1180931214473494978994271197257957580224, 17374858402944114281567233344997312656, 26584437368957252569732053154631036999, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.1024._.BF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1024.BF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1024._.BF', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117959
{'ambient': '51200000000.gt', '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': [42378967770422286201683675126674240435115968643, 384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 26584437368957304324849359192574912029, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 19679114160, 280216752570, 1180931214473494978994271197257957580224, 17374858402944114281567233344997312656, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.1024._.BG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1024.BG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1024._.BG', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117960
{'ambient': '51200000000.gt', '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': [42378967770422286201683675126674240435115968643, 384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 26584437368957304324849359192574912029, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 17374858402944086181536212972629279393, 9157942499263344915263815680090, 19679114160, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.1024._.BH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1024.BH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1024._.BH', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117961
{'ambient': '51200000000.gt', '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': [42378967770422286201683675126674240435115968643, 384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 26584437368957304324849359192574912029, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 19679114160, 280216752570, 1180931214473494978994271197257957580224, 26584437368957252569737765076269009456, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.1024._.BI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1024.BI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1024._.BI', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117962
{'ambient': '51200000000.gt', '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': [42378967770422286201683675126674240435115968643, 384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 26584437368957304324849359192574912029, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 19679114160, 280216752570, 26584437368957304324869298611336966433, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.1024._.BJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1024.BJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1024._.BJ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117963
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 51755131533883781284650, 608358522430652395702110905971241981344, 9209579619345385168428503525571305520, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 42378967770422286201683623371542706576761836909, 17374858402944086181536212972629244109, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.1024._.BK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1024.BK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1024._.BK', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117964
{'ambient': '51200000000.gt', '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': [62762714095992133411203348686102428303393977696, 28100031020285230022464, 608358494990699441747094624795772473696, 7113748562408880, 19679114160, 936846115952229311596851692189, 187770078720, 9209579292679325310996990048080950429, 7185074400, 20425781607291124255753670365345785762160668743, 774596117487626362548314482200449263442505959010, 9157942499263344915544033067553, 131783, 42378967778587564985282352484668610631702216890, 384142771057661280, 26584437368957224469726684209804030919, 647475510142073733120000, 79855162553888794326993, 19939418764438320, 816513, 9209579902859334095556685388165334989, 408960], 'label': '51200000000.gt.8._.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.P', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.P', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117965
{'ambient': '51200000000.gt', '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': [42378967770422286201683675126674240435115968643, 384142702560432544, 79855162554169010263056, 33, 51755137245805421070810, 26584438305803368521974190053290800480, 1209600, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 26584437368957252569737765076268978519, 9157942499263344915263815680090, 19679114160, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.1024._.BL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1024.BL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1024._.BL', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117966
{'ambient': '51200000000.gt', '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': [42378967770422286201683675126674240435115968643, 384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 26584437368957304324849359192574912029, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 19679114160, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464, 51755131533883781253686], 'label': '51200000000.gt.1024._.BM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1024.BM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1024._.BM', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117967
{'ambient': '51200000000.gt', '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': [42378967770422286201683675126674240435115968643, 384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 26584437368957304324849359192574912029, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 131783, 19679114160, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.1024._.BN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1024.BN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1024._.BN', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117968
{'ambient': '51200000000.gt', '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': [42378967770422286201683675126674240435115968643, 384142702560432544, 79855162554169010263056, 33, 51755137245805421070810, 26584438305803368521974190053290800480, 51755131533865060274490, 1209600, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 26584437368957252569737765076268978519, 9157942499263344915263815680090, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.1024._.BO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1024.BO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1024._.BO', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117969
{'ambient': '51200000000.gt', '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': [384142702560432544, 42378967770422286201683675126674240435115968643, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 51755131533865060274490, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.1024._.BP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1024.BP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1024._.BP', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117970
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 51755131533883781284650, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 17374858402944086181536212972629279393, 9157942499263344915263815680090, 42378967770422286201683623371542706576761836909, 19679114160, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.1024._.BQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1024.BQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1024._.BQ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117971
{'ambient': '51200000000.gt', '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': [384142702560432544, 42378967770422286201683675126674240435115968643, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 19679114160, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.1024._.BR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1024.BR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1024._.BR', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117972
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 26584437368957304324849359192574912029, 51755131533883781284650, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 42378967770422286201683623371542706576761836909, 280216752570, 1180931214473494978994271197257957580224, 9209579619345385168434215452957948080, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.1024._.BS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1024.BS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1024._.BS', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117973
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 9209579619345385168428503525571340823, 1209600, 51755131533883781284650, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 42378967770422286201683623371542706576761836909, 19679114160, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.1024._.BT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1024.BT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1024._.BT', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117974
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 26584437368957304324849359192574912029, 51755131533883781284650, 608358522430652395702110905971241981344, 26584437695623336082295443566960634243, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 42378967770422286201683623371542706576761836909, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.1024._.BU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1024.BU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1024._.BU', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117975
{'ambient': '51200000000.gt', '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': [62762714095992133411203348686102428303393977696, 146544591090428189972693871140567453501412150450, 28100031020285230022464, 608358494990699441747094624795772473696, 7113748562408880, 19679114160, 936846115952229311596851692189, 187770078720, 9209579292679325310996990048080950429, 7185074400, 20425781607291124255753670365345785762160668743, 9157942499263344915544033067553, 42378967778587564985282352484668610631702216890, 384142771057661280, 26584437368957224469726684209804030919, 647475510142073733120000, 79855162553888794326993, 19939418764438320, 774596117487626362548314482200449263442505994286, 816513, 9209579902859334095556685388165334989, 408960], 'label': '51200000000.gt.8._.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.Q', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.Q', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117976
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 26584437368957304324849359192574912029, 51755131533883781284650, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209964160, 9157942499263344915263815680090, 42378967770422286201683623371542706576761836909, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.1024._.BV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1024.BV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1024._.BV', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117977
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 1209600, 51755131533883781284650, 608358522430652395702110905971241981344, 610180032439678746674179031843, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 42378967770422286201683623371542706576761836909, 280216752570, 1180931214473494978994271197257957580224, 26584437368957304324869298591657984029, 936846064197124830900074246429, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.1024._.BW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1024.BW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1024._.BW', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117978
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 1209600, 51755131533883781284650, 608358522430652395702110905971241981344, 610180032439678746674179031843, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 42378967770422286201683623371542706576761836909, 280216752570, 1180931214473494978994271197257957580224, 936846064197104891461632816509, 936846064197124830900074246429, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.1024._.BX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1024.BX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1024._.BX', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117979
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 1209600, 51755131533883781284650, 608358522430652395702110905971241981344, 26584437695623336082295443566960634243, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 42378967770422286201683623371542706576761836909, 280216752570, 1180931214473494978994271197257957580224, 936846064197104891461632816509, 936846064197124830900074246429, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.1024._.BY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1024.BY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1024._.BY', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117980
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 1209600, 51755131533883781284650, 608358522430652395702110905971241981344, 26584437695623336082295443566960634243, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 42378967770422286201683623371542706576761836909, 280216752570, 1180931214473494978994271197257957580224, 26584437368957304324869298591657984029, 936846064197124830900074246429, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.1024._.BZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1024.BZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1024._.BZ', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117981
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 9209579619345357068403195609848263050, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 26584437368957252569737765076268978519, 9157942499263344915263815680090, 19679114160, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464, 42378967770422286201683623371562645995524023069], 'label': '51200000000.gt.1024._.CA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1024.CA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1024._.CA', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117982
{'ambient': '51200000000.gt', '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': [384142702560432544, 42378967770422286201683675126674240440424857683, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 9209579619345357068403195609848263050, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 26584437368957252569737765076268978519, 9157942499263344915263815680090, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464, 42378967770422286201683623371562645995524023069], 'label': '51200000000.gt.1024._.CB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1024.CB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1024._.CB', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117983
{'ambient': '51200000000.gt', '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': [384142702560432544, 42378967770422286201683675126674240440424857683, 79855162554169010263056, 33, 51755137245805421070810, 26584438305803368521974190053290800480, 1209600, 9209579619345357068403195609848263050, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 280216752570, 1180931214473494978994271197257957580224, 42378967778587564985282380584706744310074678389, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.1024._.CC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1024.CC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1024._.CC', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222117984
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 51755137245805421070810, 26584438305803368521974190053290800480, 1209600, 9209579619345357068403195609848263050, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 19679114160, 280216752570, 1180931214473494978994271197257957580224, 42378967778587564985282380584706744310074678389, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.1024._.CD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1024.CD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1024._.CD', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117985
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 51755137245805421070810, 26584438305803368521974190053290800480, 1209600, 42378967787797143667781621700873514500702712429, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 19679114160, 280216752570, 1180931214473494978994271197257957580224, 42378967778587564985282380584706744310074678389, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.1024._.CE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1024.CE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1024._.CE', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117986
{'ambient': '51200000000.gt', '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': [62762714095992133411203348686102428303393977696, 146544591090428189972693871140567453501412150450, 28100031020285230022464, 608358494990699441747094624795772473696, 7113748562408880, 19679114160, 936846115952229311596851692189, 187770078720, 9209579292679325310996990048080950429, 7185074400, 20425781607291124255753670365345785762160668743, 9157942499263344915544033067553, 131783, 42378967778587564985282352484668610631702216890, 384142771057661280, 26584437368957224469726684209804030919, 647475510142073733120000, 79855162553888794326993, 19939418764438320, 816513, 9209579902859334095556685388165334989, 408960], 'label': '51200000000.gt.8._.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.R', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.R', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117987
{'ambient': '51200000000.gt', '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': [384142702560432544, 42378967770422286201683675126674240440424857683, 79855162554169010263056, 33, 51755137245805421070810, 26584438305803368521974190053290800480, 1209600, 42378967787797143667781621700873514500702712429, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 280216752570, 1180931214473494978994271197257957580224, 42378967778587564985282380584706744310074678389, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.1024._.CF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1024.CF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1024._.CF', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117988
{'ambient': '51200000000.gt', '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': [384142702560432544, 42378967770422286201683675126674240440424857683, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 42378967787797143667781621700873514500702712429, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 26584437368957252569737765076268978519, 9157942499263344915263815680090, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464, 42378967770422286201683623371562645995524023069], 'label': '51200000000.gt.1024._.CG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1024.CG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1024._.CG', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117989
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 42378967787797143667781621700873514500702712429, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 26584437368957252569737765076268978519, 9157942499263344915263815680090, 19679114160, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464, 42378967770422286201683623371562645995524023069], 'label': '51200000000.gt.1024._.CH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1024.CH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1024._.CH', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117990
{'ambient': '51200000000.gt', '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': [9209579619345357068423135028611889210, 42378967770422286201683675126674240435115968643, 384142702560432544, 79855162554169010263056, 33, 19939438443062880, 26584438305803368521974190053290800480, 1209600, 608358522430652395702110905971241981344, 17374858402944114281567233344997267319, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.1024._.CI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1024.CI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1024._.CI', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117991
{'ambient': '51200000000.gt', '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': [9209579619345357068423135028611889210, 42378967770422286201683675126674240435115968643, 384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 51755137245786700136970, 608358522430652395702110905971241981344, 17374858402944114281567233344997267319, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.1024._.CJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1024.CJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1024._.CJ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117992
{'ambient': '51200000000.gt', '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': [42378967770422286201683675126674240435115968643, 384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 51755137245786700136970, 608358522430652395702110905971241981344, 9209579619345385168428503525571305520, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 17374858402944086181536212972629244109, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.1024._.CK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1024.CK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1024._.CK', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117993
{'ambient': '51200000000.gt', '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': [42378967770422286201683675126674240435115968643, 384142702560432544, 79855162554169010263056, 33, 19939438443062880, 26584438305803368521974190053290800480, 1209600, 608358522430652395702110905971241981344, 9209579619345385168428503525571305520, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 17374858402944086181536212972629244109, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.1024._.CL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1024.CL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1024._.CL', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117994
{'ambient': '51200000000.gt', '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': [384142702560432544, 42378967770422286201683675126674240435115968643, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 9209579619345357068403195609848263050, 26584437368957304324869298611337098189, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.1024._.CM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1024.CM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1024._.CM', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117995
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 26584437368957304324849359192574912029, 51755131533883781284650, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 42378967770422286201683623371542706576761836909, 280216752570, 1180931214473494978994271197257957580224, 326666135267674984852880433195, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.1024._.CN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1024.CN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1024._.CN', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117996
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 26584437368957304324849359192574912029, 51755131533883781284650, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 42378967770422286201683623371542706576761836909, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464, 9209579292679273555865456115481057283], 'label': '51200000000.gt.1024._.CO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1024.CO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1024._.CO', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117997
{'ambient': '51200000000.gt', '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': [62762714095992133411203348686102428303393977696, 28100031020285230022464, 608358494990699441747094624795772473696, 7113748562408880, 19679114160, 936846115952229311596851692189, 187770078720, 9209579292679325310996990048080950429, 7185074400, 20425781607291124255753670365345785762160668743, 9157942499263344915544033067553, 42378967778587564985282352484668610631702216890, 384142771057661280, 26584437368957224469726684209804030919, 231331231497949001402926960490745499582152671944, 647475510142073733120000, 79855162553888794326993, 19939418764438320, 774596117487626362548314482200449263442505994286, 816513, 9209579902859334095556685388165334989, 408960], 'label': '51200000000.gt.8._.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.S', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.S', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117998
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 26584437368957304324849359192574912029, 51755131533883781284650, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 42378967770422286201683623371542706576761836909, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464, 17374858076278030769003842495857734475], 'label': '51200000000.gt.1024._.CP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1024.CP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1024._.CP', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222117999
{'ambient': '51200000000.gt', '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': [9209579619345357068423135028611889210, 42378967770422286201683675126674240435115968643, 384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 608358522430652395702110905971241981344, 17374858402944114281567233344997267319, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 19679114160, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.1024._.CQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1024.CQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1024._.CQ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222118000
{'ambient': '51200000000.gt', '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': [9209579619345357068423135028611889210, 42378967770422286201683675126674240435115968643, 384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 51755131533865060274490, 1209600, 608358522430652395702110905971241981344, 17374858402944114281567233344997267319, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.1024._.CR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1024.CR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1024._.CR', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222118001
{'ambient': '51200000000.gt', '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': [42378967770422286201683675126674240435115968643, 384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 51755131533865060274490, 1209600, 608358522430652395702110905971241981344, 9209579619345385168428503525571305520, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 17374858402944086181536212972629244109, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.1024._.CS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1024.CS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1024._.CS', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222118002
{'ambient': '51200000000.gt', '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': [42378967770422286201683675126674240435115968643, 384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 608358522430652395702110905971241981344, 9209579619345385168428503525571305520, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 19679114160, 17374858402944086181536212972629244109, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.1024._.CT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1024.CT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1024._.CT', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222118003
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 26584437368957304324849359192574912029, 51755131533883781284650, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 42378967770422286201683623371542706576761836909, 280216752570, 1180931214473494978994271197257957580224, 26584437368957304324869298591657984029, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.1024._.CU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1024.CU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1024._.CU', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118004
{'ambient': '51200000000.gt', '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': [384142702560432544, 17374858076278030769003842515536762235, 79855162554169010263056, 33, 1209600, 51755131533883781284650, 608358522430652395702110905971241981344, 26584438305803368521954250634528303280, 936846064197104891481311749229, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 42378967770422286201683623371542706576761836909, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.1024._.CV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1024.CV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1024._.CV', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118005
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 1209600, 51755131533883781284650, 608358522430652395702110905971241981344, 9209580229525337752970347577112407835, 26584438305803368521954250634528303280, 936846064197104891481311749229, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 42378967770422286201683623371542706576761836909, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.1024._.CW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1024.CW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1024._.CW', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118006
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 51755131533883781284650, 608358522430652395702110905971241981344, 9209580229525337752970347577112407835, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 42378967770422286201683623371542706576761836909, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.1024._.CX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1024.CX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1024._.CX', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222118007
{'ambient': '51200000000.gt', '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': [42378967770422286201683675126674240435115968643, 384142702560432544, 79855162554169010263056, 33, 19939438443062880, 26584438305803368521974190053290800480, 1209600, 26584437368957304324849359192574912029, 9209579619345357068403195609848263050, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.1024._.CY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1024.CY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1024._.CY', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118008
{'ambient': '51200000000.gt', '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': [62762714095992133411203348686102428303393977696, 28100031020285230022464, 608358494990699441747094624795772473696, 7113748562408880, 19679114160, 936846115952229311596851692189, 187770078720, 9209579292679325310996990048080950429, 7185074400, 20425781607291124255753670365345785762160668743, 9157942499263344915544033067553, 131783, 42378967778587564985282352484668610631702216890, 384142771057661280, 26584437368957224469726684209804030919, 231331231497949001402926960490745499582152671944, 647475510142073733120000, 79855162553888794326993, 19939418764438320, 816513, 9209579902859334095556685388165334989, 408960], 'label': '51200000000.gt.8._.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.T', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.T', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118009
{'ambient': '51200000000.gt', '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': [42378967770422286201683675126674240435115968643, 384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 51755137245786700136970, 26584437368957304324849359192574912029, 9209579619345357068403195609848263050, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.1024._.CZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1024.CZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1024._.CZ', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118010
{'ambient': '51200000000.gt', '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': [42378967770422286201683675126674240435115968643, 384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 51755137245786700136970, 26584437368957304324849359192574912029, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209964160, 9157942499263344915263815680090, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.1024._.DA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1024.DA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1024._.DA', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118011
{'ambient': '51200000000.gt', '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': [42378967770422286201683675126674240435115968643, 384142702560432544, 79855162554169010263056, 33, 19939438443062880, 26584438305803368521974190053290800480, 1209600, 26584437368957304324849359192574912029, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209964160, 9157942499263344915263815680090, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.1024._.DB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1024.DB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1024._.DB', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118012
{'ambient': '51200000000.gt', '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': [384142702560432544, 17374858076278030769003842515536762235, 79855162554169010263056, 33, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 51755131533883781284650, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 42378967770422286201683623371542706576761836909, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.1024._.DC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1024.DC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1024._.DC', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118013
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 26584437368957304324849359192574912029, 51755131533883781284650, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 42378967770422286201683623371542706576761836909, 280216752570, 26584437695623336082295443561212569683, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.1024._.DD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1024.DD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1024._.DD', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118014
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 26584437368957304324849359192574912029, 326666135267674984858628483355, 51755131533883781284650, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 42378967770422286201683623371542706576761836909, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.1024._.DE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1024.DE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1024._.DE', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118015
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 26584437368957304324849359192574912029, 51755131533883781284650, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 42378967770422286201683623371542706576761836909, 19679114160, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.1024._.DF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1024.DF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1024._.DF', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118016
{'ambient': '51200000000.gt', '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': [42378967770422286201683675126674240435115968643, 384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 26584437368957304324849359192574912029, 9209579619345357068403195609848263050, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 19679114160, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.1024._.DG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1024.DG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1024._.DG', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222118017
{'ambient': '51200000000.gt', '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': [42378967770422286201683675126674240435115968643, 384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 51755131533865060274490, 1209600, 26584437368957304324849359192574912029, 9209579619345357068403195609848263050, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.1024._.DH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1024.DH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1024._.DH', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222118018
{'ambient': '51200000000.gt', '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': [42378967770422286201683675126674240435115968643, 384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 51755131533865060274490, 1209600, 26584437368957304324849359192574912029, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209964160, 9157942499263344915263815680090, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.1024._.DI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1024.DI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1024._.DI', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118019
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id: 222118020
{'ambient': '51200000000.gt', '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': [42378967770422286201683675126674240435115968643, 384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 26584437368957304324849359192574912029, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209964160, 9157942499263344915263815680090, 19679114160, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.1024._.DJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1024.DJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1024._.DJ', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118021
{'ambient': '51200000000.gt', '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': [42378967770422286201683675126674240435115968643, 384142702560432544, 79855162554169010263056, 33, 51755137245805421070810, 26584438305803368521974190053290800480, 1209600, 9209579619345357068403195609848263050, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 26584437368957252569737765076268978519, 9157942499263344915263815680090, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.1024._.DK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1024.DK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1024._.DK', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118022
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 26584437368957304324849359192574912029, 51755131533883781284650, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 42378967770422286201683623371542706576761836909, 280216752570, 1180931214473494978994271197257957580224, 17374858402944086181536212966881260189, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.1024._.DL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1024.DL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1024._.DL', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118023
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 51755131533865060274490, 1209600, 608358522430652395702110905971241981344, 42378967778587564701768431657571448979573065763, 20425781607291124255753750220488400069770140839, 26584437368957252569737765076268978519, 9157942499263344915263815680090, 280216752570, 326666163367700293314664530044, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464, 42378967770422286201683623371562645995524023069], 'label': '51200000000.gt.1024._.DM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1024.DM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1024._.DM', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118024
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 51755131533865060274490, 1209600, 608358522430652395702110905971241981344, 42378967778587564701768431657571448979573065763, 42378967778587564985282328829569498878793774036, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 280216752570, 326666163367700293314664530044, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.2048._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2048.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2048._.A', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118025
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 51755131533865060274490, 1209600, 608358522430652395702110905971241981344, 42378967778587564701768431657571448979573065763, 42378967778587564985282328829569498878793774036, 42378967778587564375102320045002689460074493344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.2048._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2048.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2048._.B', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118026
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 51755131533865060274490, 1209600, 608358522430652395702110905971241981344, 42378967778587564701768431657571448979573065763, 42378967778587564985282328829569498878793774036, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 26584437695623336082295443566960588875, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.2048._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2048.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2048._.C', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118027
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 42378967787797144277961574285409646605256914490, 51755131533865060274490, 1209600, 26584437368957304324849359192574912029, 608358522430652395702110905971241981344, 42378967778587564701768431657571448979573065763, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.2048._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2048.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2048._.D', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118028
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 51755131533865060274490, 1209600, 26584437368957304324849359192574912029, 608358522430652395702110905971241981344, 42378967778587564701768431657571448979573065763, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 280216752570, 9209579292679325310977050542098712996, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.2048._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2048.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2048._.E', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118029
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 51755131533865060274490, 1209600, 26584437368957304324849359192574912029, 608358522430652395702110905971241981344, 42378967778587564701768431657571448979573065763, 42378967761212706909004429670839804281577756166, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.2048._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2048.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2048._.F', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118030
{'ambient': '51200000000.gt', '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': [42378967770422286201683675126674240086402152893, 28100031020285230022464, 26584437368957304324849359353518240023, 41869336903510541630893209887169105288570078784, 79855162553820298549680, 19679114160, 187770078720, 19939418764473623, 816480, 20425781607291124255753750220488400418482262989, 256806323085312000, 1938901383840457580544000, 131783, 608358530357747416705544286372716544000, 565755244481649465438013370332466351400520961189, 7113748562001360, 35367047974958807818174464000000, 9209579902859305995538491028884965783, 26584438305803368521974190053290800480, 816513, 17374858076278002668998474081764304570, 815364726145577576629853473588033262728679270399], 'label': '51200000000.gt.8._.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.V', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.V', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118031
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 51755131533865060274490, 1209600, 26584437368957304324849359192574912029, 17374858076277979013892248417953410524, 608358522430652395702110905971241981344, 42378967778587564701768431657571448979573065763, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.2048._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2048.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2048._.G', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118032
{'ambient': '51200000000.gt', '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': [42378967770422286201683675126674240435115968643, 384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 19679114160, 280216752570, 1180931214473494978994271197257957580224, 26584437368957252569732053154631036999, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.2048._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2048.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2048._.H', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118033
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 42378967778587564985282328829575210800433607004, 26584438305803368521974190053290800480, 1209600, 26584437368957304324849359192574912029, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 19679114160, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.2048._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2048.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2048._.I', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118034
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 26584437368957304324849359192574912029, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 19679114160, 280216752570, 26584437368957304324869298611336966433, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.2048._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2048.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2048._.J', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118041
{'ambient': '51200000000.gt', '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': [42378967770422286201683675126674240086402152893, 28100031020285230022464, 26584437368957304324849359353518240023, 41869336903510541630893209887169105288570078784, 7113755746944000, 79855162553820298549680, 19679114160, 187770078720, 19939418764473623, 816480, 20425781607291124255753750220488400418482262989, 256806323085312000, 1938901383840457580544000, 131783, 608358530357747416705544286372716544000, 544311317165518819855853074144363305461320961235, 35367047974958807818174464000000, 9209579902859305995538491028884965783, 26584438305803368521974190053290800480, 816513, 17374858076278002668998474081764304570, 815364726145577576629853473588033262728679270399], 'label': '51200000000.gt.8._.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.W', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.W', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118042
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 51755137245786700136970, 608358522430652395702110905971241981344, 9209579619345385168428503525571305520, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 42378967761212706298824448986298303225050760356, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.2048._.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2048.Q', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2048._.Q', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118043
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 608358522430652395702110905971241981344, 9209579619345385168428503525571305520, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 42378967761212706298824448986298303225050760356, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464, 42378967770422286201683623371562645988378784109], 'label': '51200000000.gt.2048._.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2048.R', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2048._.R', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118044
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 17374858402944086181536212972629244109, 42378967787797143667781593600862433640942471763, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464, 42378967770422286201683623371562645988378784109], 'label': '51200000000.gt.2048._.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2048.S', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2048._.S', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118045
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 51755137245786700136970, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 17374858402944086181536212972629244109, 42378967787797143667781593600862433640942471763, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.2048._.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2048.T', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2048._.T', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118046
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 608358522430652395702110905971241981344, 9209579619345385168428503525571305520, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 19679114160, 42378967761212706298824448986298303225050760356, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.2048._.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2048.U', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2048._.U', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118047
{'ambient': '51200000000.gt', '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': [384142702560432544, 42378967770422286201683675126674240440424857683, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 608358522430652395702110905971241981344, 9209579619345385168428503525571305520, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 42378967761212706298824448986298303225050760356, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.2048._.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2048.V', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2048._.V', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118048
{'ambient': '51200000000.gt', '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': [384142702560432544, 42378967770422286201683675126674240440424857683, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 17374858402944086181536212972629244109, 42378967787797143667781593600862433640942471763, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.2048._.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2048.W', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2048._.W', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118049
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 19679114160, 42378967787797143667781593600862433640942471763, 17374858402944086181536212972629244109, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.2048._.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2048.X', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2048._.X', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118050
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 51755137245786700136970, 9209579619345357068403195609848263050, 608358522430652395702110905971241981344, 42378967778587564985282328829569498878793774036, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.2048._.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2048.Y', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2048._.Y', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118051
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 9209579619345357068403195609848263050, 608358522430652395702110905971241981344, 42378967778587564985282328829569498878793774036, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464, 42378967770422286201683623371562645988378784109], 'label': '51200000000.gt.2048._.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2048.Z', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2048._.Z', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118052
{'ambient': '51200000000.gt', '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': [42378967770422286201683675126674240086402152893, 28100031020285230022464, 26584437368957304324849359353518240023, 41869336903510541630893209887169105288570078784, 79855162553820298549680, 19679114160, 187770078720, 19939418764473623, 816480, 20425781607291124255753750220488400418482262989, 256806323085312000, 1938901383840457580544000, 131783, 608358530357747416705544286372716544000, 7113748562001360, 544311317165518819855853074144363305461320961235, 35367047974958807818174464000000, 9209579902859305995538491028884965783, 26584438305803368521974190053290800480, 816513, 17374858076278002668998474081764304570, 815364726145577576629853473588033262728679270399], 'label': '51200000000.gt.8._.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.X', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.X', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118053
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 42378967787797143667781621700873514500702712429, 608358522430652395702110905971241981344, 42378967778587564985282328829569498878793774036, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464, 42378967770422286201683623371562645988378784109], 'label': '51200000000.gt.2048._.BA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2048.BA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2048._.BA', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118054
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 51755137245786700136970, 42378967787797143667781621700873514500702712429, 608358522430652395702110905971241981344, 42378967778587564985282328829569498878793774036, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.2048._.BB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2048.BB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2048._.BB', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118055
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 9209579619345357068403195609848263050, 608358522430652395702110905971241981344, 42378967778587564985282328829569498878793774036, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 19679114160, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.2048._.BC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2048.BC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2048._.BC', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118056
{'ambient': '51200000000.gt', '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': [384142702560432544, 42378967770422286201683675126674240440424857683, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 9209579619345357068403195609848263050, 608358522430652395702110905971241981344, 42378967778587564985282328829569498878793774036, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.2048._.BD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2048.BD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2048._.BD', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118057
{'ambient': '51200000000.gt', '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': [384142702560432544, 42378967770422286201683675126674240440424857683, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 42378967787797143667781621700873514500702712429, 608358522430652395702110905971241981344, 42378967778587564985282328829569498878793774036, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.2048._.BE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2048.BE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2048._.BE', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118058
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 42378967787797143667781621700873514500702712429, 608358522430652395702110905971241981344, 42378967778587564985282328829569498878793774036, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 19679114160, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.2048._.BF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2048.BF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2048._.BF', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118059
{'ambient': '51200000000.gt', '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': [384142702560432544, 9209579619345357068403195604539283290, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 26584437368957252569737765076268978519, 9157942499263344915263815680090, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464, 42378967770422286201683623371562645995524023069], 'label': '51200000000.gt.2048._.BG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2048.BG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2048._.BG', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118060
{'ambient': '51200000000.gt', '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': [384142702560432544, 42378967787797143667781621700873514506450863389, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 26584437368957252569737765076268978519, 9157942499263344915263815680090, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464, 42378967770422286201683623371562645995524023069], 'label': '51200000000.gt.2048._.BH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2048.BH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2048._.BH', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118061
{'ambient': '51200000000.gt', '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': [384142702560432544, 42378967787797143667781621700873514506450863389, 79855162554169010263056, 33, 51755137245805421070810, 26584438305803368521974190053290800480, 1209600, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 280216752570, 1180931214473494978994271197257957580224, 42378967778587564985282380584706744310074678389, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.2048._.BI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2048.BI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2048._.BI', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118062
{'ambient': '51200000000.gt', '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': [384142702560432544, 9209579619345357068403195604539283290, 79855162554169010263056, 33, 51755137245805421070810, 26584438305803368521974190053290800480, 1209600, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 280216752570, 1180931214473494978994271197257957580224, 42378967778587564985282380584706744310074678389, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.2048._.BJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2048.BJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2048._.BJ', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118063
{'ambient': '51200000000.gt', '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': [384142702560432544, 12494008823, 19679114160, 82637946751355846939948523742243424762463340890, 1209600, 9157942499263344915263815680090, 51755131533883781284650, 280216752570, 774596117487626362548314482200449263442505959010, 131783, 42378967770422286201683623371542706576761836909, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464, 19939418764030800, 33, 26584437368957304324869298611337098189, 17374858076278030769003842495857734475, 7113748562001360, 79855162554169010263056, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209964160, 480445590912251800777331973907405017292279187760, 26584438305803368521974190053290800480], 'label': '51200000000.gt.2._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2._.G', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118064
{'ambient': '51200000000.gt', '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': [42378967770422286201683675126674240086402152893, 28100031020285230022464, 26584437368957304324849359353518240023, 41869336903510541630893209887169105288570078784, 79855162553820298549680, 19679114160, 187770078720, 816480, 20425781607291124255753750220488400418482262989, 256806323085312000, 1938901383840457580544000, 524422693662681727209699234332080853956404428204, 608358530357747416705544286372716544000, 7113748562001360, 19939425949382423, 35367047974958807818174464000000, 9209579902859305995538491028884965783, 19939418764438320, 26584438305803368521974190053290800480, 816513, 17374858076278002668998474081764304570, 815364726145577576629853473588033262728679270399], 'label': '51200000000.gt.8._.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.Y', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.Y', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118065
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 26584437368957252569737765076268978519, 9157942499263344915263815680090, 19679114160, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464, 42378967770422286201683623371562645995524023069], 'label': '51200000000.gt.2048._.BK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2048.BK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2048._.BK', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118066
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 51755131533865060274490, 1209600, 608358522430652395702110905971241981344, 42378967778587564701768431657571448979573065763, 20425781607291124255753750220488400069770140839, 26584437368957252569737765076268978519, 9157942499263344915263815680090, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464, 42378967770422286201683623371562645995524023069], 'label': '51200000000.gt.2048._.BL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2048.BL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2048._.BL', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118067
{'ambient': '51200000000.gt', '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': [384142702560432544, 42378967770422286201683675126674240440424857683, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 26584437368957252569737765076268978519, 9157942499263344915263815680090, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464, 42378967770422286201683623371562645995524023069], 'label': '51200000000.gt.2048._.BM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2048.BM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2048._.BM', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118068
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 1209600, 42378967770422286201683623371542706569616694429, 608358522430652395702110905971241981344, 42378967778587564701768431657571448979573065763, 20425781607291124255753750220488400069770140839, 26584437368957252569737765076268978519, 9157942499263344915263815680090, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464, 42378967770422286201683623371562645995524023069], 'label': '51200000000.gt.2048._.BN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2048.BN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2048._.BN', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118069
{'ambient': '51200000000.gt', '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': [384142702560432544, 42378967770422286201683675126679952356755754803, 79855162554169010263056, 33, 1209600, 42378967778587564985282328829575210800433561636, 42378967770422286201683623371542706569616694429, 608358522430652395702110905971241981344, 42378967778587564701768431657571448979573065763, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.2048._.BO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2048.BO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2048._.BO', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118070
{'ambient': '51200000000.gt', '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': [384142702560432544, 42378967770422286201683675126674240440424857683, 42378967770422286201683675126679952356755754803, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 42378967778587564985282328829575210800433561636, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.2048._.BP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2048.BP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2048._.BP', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222118071
{'ambient': '51200000000.gt', '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': [384142702560432544, 42378967770422286201683675126679952356755754803, 79855162554169010263056, 33, 51755131533865060274490, 1209600, 42378967778587564985282328829575210800433561636, 608358522430652395702110905971241981344, 42378967778587564701768431657571448979573065763, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.2048._.BQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2048.BQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2048._.BQ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222118072
{'ambient': '51200000000.gt', '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': [384142702560432544, 42378967770422286201683675126679952356755754803, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 42378967778587564985282328829575210800433561636, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 19679114160, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.2048._.BR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2048.BR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2048._.BR', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118074
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 51755137245805421070810, 51755131533865060274490, 1209600, 608358522430652395702110905971241981344, 42378967778587564701768431657571448979573065763, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 280216752570, 1180931214473494978994271197257957580224, 42378967778587564985282380584706744310074678389, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.2048._.BT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2048.BT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2048._.BT', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118075
{'ambient': '51200000000.gt', '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': [42378967770422286201683675126674240086402152893, 28100031020285230022464, 26584437368957304324849359353518240023, 41869336903510541630893209887169105288570078784, 79855162553820298549680, 19679114160, 187770078720, 816480, 524422693662681727209699234332080854043103717866, 20425781607291124255753750220488400418482262989, 256806323085312000, 1938901383840457580544000, 608358530357747416705544286372716544000, 7113748562001360, 19939425949382423, 35367047974958807818174464000000, 9209579902859305995538491028884965783, 19939418764438320, 26584438305803368521974190053290800480, 816513, 17374858076278002668998474081764304570, 815364726145577576629853473588033262728679270399], 'label': '51200000000.gt.8._.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.Z', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.Z', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118076
{'ambient': '51200000000.gt', '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': [384142702560432544, 42378967770422286201683675126674240440424857683, 79855162554169010263056, 33, 51755137245805421070810, 26584438305803368521974190053290800480, 1209600, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 280216752570, 1180931214473494978994271197257957580224, 42378967778587564985282380584706744310074678389, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.2048._.BU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2048.BU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2048._.BU', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118077
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 51755137245805421070810, 1209600, 42378967770422286201683623371542706569616694429, 608358522430652395702110905971241981344, 42378967778587564701768431657571448979573065763, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 280216752570, 1180931214473494978994271197257957580224, 42378967778587564985282380584706744310074678389, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.2048._.BV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2048.BV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2048._.BV', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118078
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 42378967770422286201683623371542706569616694429, 608358522430652395702110905971241981344, 42378967778587564701768431657571448979573065763, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.2048._.BW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2048.BW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2048._.BW', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118079
{'ambient': '51200000000.gt', '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': [384142702560432544, 42378967770422286201683675126674240440424857683, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.2048._.BX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2048.BX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2048._.BX', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118080
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 51755131533865060274490, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 608358522430652395702110905971241981344, 42378967778587564701768431657571448979573065763, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.2048._.BY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2048.BY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2048._.BY', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118081
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 19679114160, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.2048._.BZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2048.BZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2048._.BZ', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118082
{'ambient': '51200000000.gt', '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': [42378967770422286201683675126674240435115968643, 384142702560432544, 79855162554169010263056, 33, 17374858402944114281567233350306247079, 26584438305803368521974190053290800480, 1209600, 26584437368957304324849359192574912029, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.2048._.CA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2048.CA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2048._.CA', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118083
{'ambient': '51200000000.gt', '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': [42378967770422286201683675126674240435115968643, 384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 26584437368957304324849359192574912029, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 280216752570, 1180931214473494978994271197257957580224, 17374858402944086181536212966881260189, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.2048._.CB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2048.CB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2048._.CB', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118084
{'ambient': '51200000000.gt', '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': [42378967770422286201683675126674240435115968643, 384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 51755131533865060274490, 1209600, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 280216752570, 1180931214473494978994271197257957580224, 26584437368957252569732053154631036999, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.2048._.CC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2048.CC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2048._.CC', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118085
{'ambient': '51200000000.gt', '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': [42378967770422286201683675126674240435115968643, 384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 51755131533865060274490, 1209600, 26584437368957304324849359192574912029, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.2048._.CD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2048.CD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2048._.CD', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118086
{'ambient': '51200000000.gt', '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': [42378967770422286201683675126674240086402152893, 28100031020285230022464, 26584437368957304324849359353518240023, 41869336903510541630893209887169105288570078784, 79855162553820298549680, 19679114160, 187770078720, 19939418764473623, 7185074400, 816480, 20425781607291124255753750220488400418482262989, 256806323085312000, 1938901383840457580544000, 131783, 608358530357747416705544286372716544000, 544311317165518819855853074144363305461320961235, 35367047974958807818174464000000, 9209579902859305995538491028884965783, 26584438305803368521974190053290800480, 816513, 17374858076278002668998474081764304570, 815364726145577576629853473588033262728679270399], 'label': '51200000000.gt.8._.BA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BA', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118087
{'ambient': '51200000000.gt', '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': [42378967770422286201683675126674240435115968643, 384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 26584437368957304324849359192574912029, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 19679114160, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.2048._.CE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2048.CE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2048._.CE', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118088
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 1209600, 326666135267674984858628483355, 51755131533883781284650, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 42378967770422286201683623371542706576761836909, 280216752570, 1180931214473494978994271197257957580224, 936846064197124830900074246429, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.2048._.CF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2048.CF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2048._.CF', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 222118089
{'ambient': '51200000000.gt', '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': [42378967770422286201683675126674240435115968643, 384142702560432544, 9209579619345357068403195604539283290, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 26584437368957304324849359192574912029, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.2048._.CG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2048.CG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2048._.CG', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118090
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id: 222118091
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 1209600, 26584437368957304324849359192574912029, 51755131533883781284650, 608358522430652395702110905971241981344, 17374859013124094966108733957490142003, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 42378967770422286201683623371542706576761836909, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.2048._.CI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2048.CI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2048._.CI', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118092
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 1209600, 26584437368957304324849359192574912029, 51755131533883781284650, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 42378967770422286201683623371542706576761836909, 9209579292679273555865456095802196563, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.2048._.CJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2048.CJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2048._.CJ', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118093
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 1209600, 26584437368957304324849359192574912029, 51755131533883781284650, 608358522430652395702110905971241981344, 9209580229525337752970347577112407835, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 42378967770422286201683623371542706576761836909, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.2048._.CK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2048.CK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2048._.CK', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118094
{'ambient': '51200000000.gt', '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': [384142702560432544, 17374858076278030769003842515536762235, 79855162554169010263056, 33, 1209600, 26584437368957304324849359192574912029, 51755131533883781284650, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 42378967770422286201683623371542706576761836909, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.2048._.CL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2048.CL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2048._.CL', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118095
{'ambient': '51200000000.gt', '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': [42378967770422286201683675126674240435115968643, 384142702560432544, 79855162554169010263056, 33, 26584438305803316766842656556622396170, 1209600, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 280216752570, 1180931214473494978994271197257957580224, 26584437368957304324869298591657984029, 26584437368957252569732053154631036999, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.2048._.CM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2048.CM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2048._.CM', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118096
{'ambient': '51200000000.gt', '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': [42378967770422286201683675126674240435115968643, 384142702560432544, 79855162554169010263056, 33, 26584438305803316766842656556622396170, 1209600, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 26584437368957252569737765094989988679, 280216752570, 1180931214473494978994271197257957580224, 26584437368957252569732053154631036999, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.2048._.CN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2048.CN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2048._.CN', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118097
{'ambient': '51200000000.gt', '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': [187770078720, 1938901383840457580544000, 26584438305803368521974190053290800480, 42378967770422286201683675126674240086402152893, 79855162553820298549680, 26584437368957304324849359353518240023, 608358530357747416705544286372716544000, 816513, 7185074400, 544311317165518819855853074144376131131522223875, 41869336903510541630893209887169105288570078784, 17374858076278002668998474081764304570, 35367047974958807818174464000000, 131783, 20425781607291124255753750220488400418482262989, 19679114160, 28100031020285230022464, 256806323085312000, 815364726145577576629853473588033262728679270399, 9209579902859305995538491028884965783, 816480, 19939418764473623], 'label': '51200000000.gt.8._.BB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BB', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118098
{'ambient': '51200000000.gt', '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': [42378967770422286201683675126674240435115968643, 384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 26584437368957304324849359192574912029, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 26584437368957252569737765094989988679, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.2048._.CO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2048.CO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2048._.CO', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118099
{'ambient': '51200000000.gt', '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': [42378967770422286201683675126674240435115968643, 384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 26584437368957304324849359192574912029, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 280216752570, 1180931214473494978994271197257957580224, 26584437368957304324869298591657984029, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.2048._.CP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2048.CP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2048._.CP', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118100
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 9209579619345357068403195609848263050, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 26584437368957252569737765076268978519, 9157942499263344915263815680090, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464, 42378967770422286201683623371562645995524023069], 'label': '51200000000.gt.2048._.CQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2048.CQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2048._.CQ', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118101
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 51755137245805421070810, 26584438305803368521974190053290800480, 1209600, 9209579619345357068403195609848263050, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 280216752570, 1180931214473494978994271197257957580224, 42378967778587564985282380584706744310074678389, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.2048._.CR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2048.CR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2048._.CR', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118102
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 51755137245805421070810, 26584438305803368521974190053290800480, 1209600, 42378967787797143667781621700873514500702712429, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 280216752570, 1180931214473494978994271197257957580224, 42378967778587564985282380584706744310074678389, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.2048._.CS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2048.CS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2048._.CS', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118103
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 26584437368957304324849359172895894349, 51755131533883781284650, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 42378967770422286201683623371542706576761836909, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.2048._.CT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2048.CT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2048._.CT', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118104
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 42378967787797143667781621700873514500702712429, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 26584437368957252569737765076268978519, 9157942499263344915263815680090, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464, 42378967770422286201683623371562645995524023069], 'label': '51200000000.gt.2048._.CU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2048.CU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2048._.CU', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118105
{'ambient': '51200000000.gt', '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': [9209579619345357068423135028611889210, 42378967770422286201683675126674240435115968643, 384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 608358522430652395702110905971241981344, 17374858402944114281567233344997267319, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.2048._.CV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2048.CV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2048._.CV', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118106
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id: 222118107
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 1209600, 51755131533883781284650, 608358522430652395702110905971241981344, 26584438305803368521954250634528303280, 936846064197104891481311749229, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 42378967770422286201683623371542706576761836909, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.2048._.CX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2048.CX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2048._.CX', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118108
{'ambient': '51200000000.gt', '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': [9157942499263344915612530054400, 96, 19939425948731543, 26584437368957304324849359353518240023, 17374858686457931598408441266086886400, 28100031020285230022464, 19679114160, 1180931223598367578444978690220295148800, 42378967770422286201683651471573726605724793613, 348713164800, 20425781607291124255753750220488400418483714503, 480445590912251792534457799940718143512542611760, 62762714095992133411200866892008914944000000064, 128424084332544000, 774596117200813785330967943971318531064319559170, 79855162554075086032560, 26584438305803288666811636621065730480, 7113748562001360, 647475894284496076800000, 9209579292679325310996990141924304573, 7185105383, 408960], 'label': '51200000000.gt.8._.BC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BC', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118109
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 1209600, 51755131533883781284650, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 42378967770422286201683623371542706576761836909, 280216752570, 1180931214473494978994271197257957580224, 936846064197104891461632816509, 936846064197124830900074246429, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.2048._.CY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2048.CY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2048._.CY', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118110
{'ambient': '51200000000.gt', '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': [42378967770422286201683675126674240435115968643, 384142702560432544, 79855162554169010263056, 33, 26584438305803316766842656556622396170, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.2048._.CZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2048.CZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2048._.CZ', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118111
{'ambient': '51200000000.gt', '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': [42378967770422286201683675126674240435115968643, 384142702560432544, 79855162554169010263056, 33, 51755137245805421070810, 26584438305803316766842656556622396170, 1209600, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 26584437368957252569737765076268978519, 9157942499263344915263815680090, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.2048._.DA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2048.DA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2048._.DA', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118112
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 51755131533883781284650, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 42378967770422286201683623371542706576761836909, 19679114160, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.2048._.DB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2048.DB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2048._.DB', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118113
{'ambient': '51200000000.gt', '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': [42378967770422286201683675126674240435115968643, 384142702560432544, 79855162554169010263056, 33, 51755137245805421070810, 26584438305803368521974190053290800480, 1209600, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 26584437368957252569737765076268978519, 9157942499263344915263815680090, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.2048._.DC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2048.DC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2048._.DC', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118114
{'ambient': '51200000000.gt', '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': [42378967770422286201683675126674240435115968643, 384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 26584437368957304324849359192574912029, 9209579619345357068403195609848263050, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.2048._.DD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2048.DD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2048._.DD', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118115
{'ambient': '51200000000.gt', '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': [42378967770422286201683675126674240435115968643, 384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 26584437368957304324849359192574912029, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9209579619345385168434215447209964160, 9157942499263344915263815680090, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.2048._.DE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2048.DE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2048._.DE', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118116
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 1209600, 51755131533883781284650, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 42378967770422286201683623371542706576761836909, 280216752570, 1180931214473494978994271197257957580224, 26584437368957304324869298591657984029, 936846064197124830900074246429, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.2048._.DF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2048.DF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2048._.DF', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118117
{'ambient': '51200000000.gt', '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': [384142702560432544, 42378967770422286201683675126674240435115968643, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.2048._.DG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2048.DG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2048._.DG', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118118
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 51755131533883781284650, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 42378967770422286201683623371542706576761836909, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.2048._.DH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2048.DH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2048._.DH', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118119
{'ambient': '51200000000.gt', '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': [9157942499263344915612530054400, 96, 19939425948731543, 26584437368957304324849359353518240023, 17374858686457931598408441266086886400, 28100031020285230022464, 19679114160, 1180931223598367578444978690220295148800, 42378967770422286201683651471573726605724793613, 348713164800, 20425781607291124255753750220488400418483714503, 62762714095992133411200866892008914944000000064, 128424084332544000, 774596117200813785330967943971318531064319559170, 79855162554075086032560, 26584438305803288666811636621065730480, 7113748562001360, 647475894284496076800000, 9209579292679325310996990141924304573, 7185105383, 480445590912251800777331973907405017292279187760, 408960], 'label': '51200000000.gt.8._.BD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BD', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118120
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 26584437368957304324849359192574912029, 51755131533883781284650, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 42378967770422286201683623371542706576761836909, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.2048._.DI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2048.DI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2048._.DI', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118121
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 1209600, 51755131533883781284650, 608358522430652395702110905971241981344, 610180032439678746674179031843, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 42378967770422286201683623371542706576761836909, 280216752570, 1180931214473494978994271197257957580224, 936846064197124830900074246429, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.2048._.DJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2048.DJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2048._.DJ', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118122
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id: 222118123
{'ambient': '51200000000.gt', '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': [384142702560432544, 26584437979137233254299205382511983355, 79855162554169010263056, 33, 1209600, 51755131533883781284650, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 42378967770422286201683623371542706576761836909, 280216752570, 1180931214473494978994271197257957580224, 936846064197124830900074246429, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.2048._.DL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2048.DL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2048._.DL', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118124
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 42378967770422285591503694442112799966531367686, 51755131533865060274490, 1209600, 608358522430652395702110905971241981344, 42378967778587564701768431657571448979573065763, 42378967778587564985282328829569498878793774036, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.2048._.DM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2048.DM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2048._.DM', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118130
{'ambient': '51200000000.gt', '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': [9157942499263344915612530054400, 96, 418701022551683601082845246737827102013291313210, 26584437368957304324849359353518240023, 17374858686457931598408441266086886400, 28100031020285230022464, 1180931223598367578444978690220295148800, 19679114160, 42378967770422286201683651471573726605724793613, 348713164800, 20425781607291124255753750220488400418483714503, 62762714095992133411200866892008914944000000064, 128424084332544000, 774596117200813785330967943971318531064319559170, 131783, 79855162554075086032560, 26584438305803288666811636621065730480, 647475894284496076800000, 19939438442620103, 12825677386776983, 9209579292679325310996990141924304573, 408960], 'label': '51200000000.gt.8._.BE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BE', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118131
{'ambient': '51200000000.gt', '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': [384142702560432544, 9209579619345357068403195604539283290, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 608358522430652395702110905971241981344, 42378967778587564985282328829569498878793774036, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.4096._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4096.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4096._.F', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118132
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 9209579619345357068403195609848263050, 608358522430652395702110905971241981344, 42378967778587564985282328829569498878793774036, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.4096._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4096.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4096._.G', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118133
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 1209600, 26584437368957304324849359192574912029, 51755131533883781284650, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 42378967770422286201683623371542706576761836909, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.4096._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4096.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4096._.H', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118134
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 1209600, 608358522430652395702110905971241981344, 42378967778587564701768431657571448979573065763, 42378967778587564985282328829569498878793774036, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 280216752570, 1180931214473494978994271197257957580224, 26584437368957304324869298591657984029, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.4096._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4096.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4096._.I', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118135
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 608358522430652395702110905971241981344, 42378967778587564985282328829569498878793774036, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 26584437368957252569737765094989988679, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.4096._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4096.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4096._.J', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118136
{'ambient': '51200000000.gt', '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': [384142702560432544, 42378967778587564985282328829575210795124672596, 79855162554169010263056, 33, 1209600, 608358522430652395702110905971241981344, 42378967778587564701768431657571448979573065763, 42378967778587564985282328829569498878793774036, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.4096._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4096.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4096._.K', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118137
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 608358522430652395702110905971241981344, 42378967778587564985282328829569498878793774036, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 42378967778587564985282380584706744317219820869, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.4096._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4096.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4096._.L', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118138
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 1209600, 26584437368957304324849359192574912029, 608358522430652395702110905971241981344, 42378967778587564701768431657571448979573065763, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 42378967778587564985282380584706744317219820869, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.4096._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4096.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4096._.M', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118139
{'ambient': '51200000000.gt', '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': [384142702560432544, 42378967778587564985282328829575210795124672596, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 26584437368957304324849359192574912029, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.4096._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4096.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4096._.N', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118140
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 1209600, 26584437368957304324849359192574912029, 608358522430652395702110905971241981344, 42378967778587564701768431657571448979573065763, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 26584437368957252569737765094989988679, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.4096._.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4096.O', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4096._.O', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118141
{'ambient': '51200000000.gt', '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': [9157942499263344915612530054400, 96, 418701022551683601082845246737827102013291313210, 26584437368957304324849359353518240023, 17374858686457931598408441266086886400, 28100031020285230022464, 19679114160, 1180931223598367578444978690220295148800, 42378967770422286201683651471573726605724793613, 348713164800, 20425781607291124255753750220488400418483714503, 62762714095992133411200866892008914944000000064, 128424084332544000, 774596117200813785330967943971318531064319559170, 131783, 79855162554075086032560, 26584438305803288666811636621065730480, 7113748562001360, 647475894284496076800000, 19939438442620103, 9209579292679325310996990141924304573, 408960], 'label': '51200000000.gt.8._.BF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BF', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118142
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 26584437368957304324849359192574912029, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 280216752570, 1180931214473494978994271197257957580224, 26584437368957304324869298591657984029, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.4096._.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4096.P', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4096._.P', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118143
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id: 222118144
{'ambient': '51200000000.gt', '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': [42378967770422286201683675126674240435115968643, 384142702560432544, 79855162554169010263056, 33, 1209600, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 280216752570, 1180931214473494978994271197257957580224, 936846064197104891461632816509, 936846064197124830900074246429, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.4096._.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4096.R', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4096._.R', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118145
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 51755131533883781284650, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 42378967770422286201683623371542706576761836909, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.4096._.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4096.S', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4096._.S', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118146
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 608358522430652395702110905971241981344, 42378967778587564701768431657571448979573065763, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.4096._.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4096.T', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4096._.T', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118152
{'ambient': '51200000000.gt', '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': [9157942499263344915612530054400, 96, 26584437368957304324849359353518240023, 17374858686457931598408441266086886400, 28100031020285230022464, 1180931223598367578444978690220295148800, 19679114160, 42378967770422286201683651471573726605724793613, 348713164800, 20425781607291124255753750220488400418483714503, 420297990190405276939795813780499152296606513210, 62762714095992133411200866892008914944000000064, 128424084332544000, 774596117200813785330967943971318531064319559170, 131783, 79855162554075086032560, 26584438305803288666811636621065730480, 647475894284496076800000, 19939438442620103, 12825677386776983, 9209579292679325310996990141924304573, 408960], 'label': '51200000000.gt.8._.BG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BG', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118153
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 26584437368957252569737765076268978519, 9157942499263344915263815680090, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464, 42378967770422286201683623371562645995524023069], 'label': '51200000000.gt.4096._.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4096.Z', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4096._.Z', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118154
{'ambient': '51200000000.gt', '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': [384142702560432544, 42378967770422286201683675126679952356755754803, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 42378967778587564985282328829575210800433561636, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.4096._.BA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4096.BA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4096._.BA', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118155
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 51755137245805421070810, 26584438305803368521974190053290800480, 1209600, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 280216752570, 1180931214473494978994271197257957580224, 42378967778587564985282380584706744310074678389, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.4096._.BB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4096.BB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4096._.BB', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118156
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 608358522430652395702110905971241981344, 42378967778587564985282328829569498878793774036, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 19679114160, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.4096._.BC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4096.BC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4096._.BC', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118157
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 51755131533865060274490, 1209600, 608358522430652395702110905971241981344, 42378967778587564701768431657571448979573065763, 42378967778587564985282328829569498878793774036, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.4096._.BD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4096.BD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4096._.BD', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118158
{'ambient': '51200000000.gt', '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': [384142702560432544, 42378967770422286201683675126674240440424857683, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 608358522430652395702110905971241981344, 42378967778587564985282328829569498878793774036, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.4096._.BE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4096.BE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4096._.BE', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118159
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 1209600, 42378967770422286201683623371542706569616694429, 608358522430652395702110905971241981344, 42378967778587564701768431657571448979573065763, 42378967778587564985282328829569498878793774036, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.4096._.BF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4096.BF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4096._.BF', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118160
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 1209600, 26584437368957304324849359192574912029, 42378967770422286201683623371542706569616694429, 608358522430652395702110905971241981344, 42378967778587564701768431657571448979573065763, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.4096._.BG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4096.BG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4096._.BG', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118161
{'ambient': '51200000000.gt', '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': [384142702560432544, 42378967770422286201683675126674240440424857683, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 26584437368957304324849359192574912029, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.4096._.BH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4096.BH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4096._.BH', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118162
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 51755131533865060274490, 1209600, 26584437368957304324849359192574912029, 608358522430652395702110905971241981344, 42378967778587564701768431657571448979573065763, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.4096._.BI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4096.BI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4096._.BI', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118163
{'ambient': '51200000000.gt', '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': [9157942499263344915612530054400, 96, 26584437368957304324849359353518240023, 17374858686457931598408441266086886400, 28100031020285230022464, 1180931223598367578444978690220295148800, 19679114160, 42378967770422286201683651471573726605724793613, 348713164800, 20425781607291124255753750220488400418483714503, 420297990190405276939795813780499152296606513210, 62762714095992133411200866892008914944000000064, 128424084332544000, 774596117200813785330967943971318531064319559170, 131783, 79855162554075086032560, 26584438305803288666811636621065730480, 7113748562001360, 647475894284496076800000, 19939438442620103, 9209579292679325310996990141924304573, 408960], 'label': '51200000000.gt.8._.BH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BH', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118164
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 26584437368957304324849359192574912029, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 19679114160, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.4096._.BJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4096.BJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4096._.BJ', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118165
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id: 222118166
{'ambient': '51200000000.gt', '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': [384142702560432544, 42378967770422286201683675126674240435115968643, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 26584437368957304324849359172895894349, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.4096._.BL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4096.BL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4096._.BL', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118167
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.4096._.BM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4096.BM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4096._.BM', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118168
{'ambient': '51200000000.gt', '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': [384142702560432544, 42378967770422286201683675126674240435115968643, 79855162554169010263056, 33, 1209600, 936846115952236425326692667639, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 280216752570, 26584438305803316766836944634983335770, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.4096._.BN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4096.BN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4096._.BN', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118174
{'ambient': '51200000000.gt', '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': [28100025308549962182960, 375233552466460415623481277016815029839679713233, 19679114160, 544311317165518819855853074144363305449864789243, 79855162553820298140810, 486580401635328090, 20425781580706686886796525750761716208679276160, 774596117487626362548314482200449263442505959010, 62762714704350628401900956114383907454738840960, 131783, 33, 19939418763395760, 26584437979137256909405430809737697306, 280215936064, 7113748562001360, 936846144052247505843487894375, 304187470334004546272016032115918009664, 608358494990699441746992186536265131584, 82637945570424623962242695588801813907198299556, 27439951015054631587557705131520, 26584437368957224469726684209804030855, 408960, 9209579292679353411002358924409276093], 'label': '51200000000.gt.4._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.A', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118175
{'ambient': '51200000000.gt', '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': [9157942499263344915612530054400, 96, 19939425948731543, 26584437368957304324849359353518240023, 17374858686457931598408441266086886400, 28100031020285230022464, 1180931223598367578444978690220295148800, 19679114160, 42378967770422286201683651471573726605724793613, 348713164800, 20425781607291124255753750220488400418483714503, 7185074400, 420297990190405276939795813780499152296606513210, 62762714095992133411200866892008914944000000064, 128424084332544000, 774596117200813785330967943971318531064319559170, 131783, 79855162554075086032560, 26584438305803288666811636621065730480, 647475894284496076800000, 9209579292679325310996990141924304573, 408960], 'label': '51200000000.gt.8._.BI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BI', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118176
{'ambient': '51200000000.gt', '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': [42378967770422286201683675126674240435115968643, 384142702560432544, 79855162554169010263056, 33, 26584438305803316766842656556622396170, 1209600, 26584437368957304324849359192574912029, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.4096._.BT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4096.BT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4096._.BT', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118177
{'ambient': '51200000000.gt', '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': [42378967770422286201683675126674240435115968643, 384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 280216752570, 1180931214473494978994271197257957580224, 26584437368957252569732053154631036999, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.4096._.BU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4096.BU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4096._.BU', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118178
{'ambient': '51200000000.gt', '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': [42378967770422286201683675126674240435115968643, 384142702560432544, 79855162554169010263056, 33, 51755137245805421070810, 1209600, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 26584437368957252569737765076268978519, 9157942499263344915263815680090, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.4096._.BV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4096.BV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4096._.BV', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118179
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 608358522430652395702110905971241981344, 9209579619345385168428503525571305520, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 42378967761212706298824448986298303225050760356, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.4096._.BW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4096.BW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4096._.BW', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118180
{'ambient': '51200000000.gt', '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': [384142702560432544, 42378967770422286201683675126674240435115968643, 79855162554169010263056, 33, 1209600, 19939418764030800, 26584437368957304324869298611337098189, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.4096._.BX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4096.BX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4096._.BX', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118181
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 42378967761212706298824448986298303231756828116, 1209600, 608358522430652395702110905971241981344, 42378967778587564985282328829569498878793774036, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.4096._.BY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4096.BY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4096._.BY', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118182
{'ambient': '51200000000.gt', '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': [384142702560432544, 42378967770422286201683675126674240435115968643, 79855162554169010263056, 33, 1209600, 26584437368957304324849359192574912029, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.8192._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8192.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8192._.A', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118183
{'ambient': '51200000000.gt', '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': [384142702560432544, 33, 26584438305803368521974190053290800480, 42378967761212706298824448986298303231756828116, 1209600, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 42378967778587564985282352484681435947882182410, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.8192._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8192.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8192._.B', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118184
{'ambient': '51200000000.gt', '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': [384142702560432544, 33, 1209600, 26584438305803288666811636621065321616, 608358522430652395702110905971241981344, 42378967778587564985282328829569498878793774036, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 280216752570, 9209579619345436923565749061752673264, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.8192._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8192.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8192._.C', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118185
{'ambient': '51200000000.gt', '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': [384142702560432544, 9209579619345357068403195604539283290, 33, 1209600, 26584438305803288666811636621065321616, 608358522430652395702110905971241981344, 42378967778587564985282328829569498878793774036, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.8192._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8192.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8192._.D', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118186
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id: 222118187
{'ambient': '51200000000.gt', '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': [384142702560432544, 42378967770422285918169777954676190546512326996, 79855162554169010263056, 33, 1209600, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 280216752570, 1180931214473494978994271197257957580224, 42378967770422285918169726199538944761208627269, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.8192._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8192.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8192._.E', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118188
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 1209600, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 42378967770422285918169777954670478619564361716, 280216752570, 1180931214473494978994271197257957580224, 936846064197124830900074246429, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.8192._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8192.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8192._.F', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118189
{'ambient': '51200000000.gt', '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': [384142702560432544, 42378967770422285918169777954676190546512326996, 79855162554169010263056, 33, 1209600, 608358522430652395702110905971241981344, 936846115952236425345413692199, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.8192._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8192.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8192._.G', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118190
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 1209600, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 280216752570, 1180931214473494978994271197257957580224, 936846064197104891461632816509, 936846064197124830900074246429, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.8192._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8192.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8192._.H', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118197
{'ambient': '51200000000.gt', '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': 2, 'diagramx': None, 'generators': [20425781607291124255753670365345785762160668743, 187770078720, 647475510142073733120000, 82637946751355846939948523742243424762463340890, 408960, 384142771057661280, 7113748562408880, 936846115952229311596851692189, 186817333537895255701429216272434243199600859320, 9209579292679325310996990048080950429, 79855162553888794326993, 816513, 7185074400, 19939418764438320, 42378967778587564985282352484668610631702216890, 9209579902859334095556685388165334989, 26584437368957224469726684209804030919, 9157942499263344915544033067553, 19679114160, 28100031020285230022464, 62762714095992133411203348686102428303393977696, 608358494990699441747094624795772473696], 'label': '51200000000.gt.8._.BK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BK', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118198
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 1209600, 608358522430652395702110905971241981344, 42378967778587564701768431657571448979573065763, 20425781607291124255753750220488400069770140839, 26584437368957252569732053173351985239, 9157942499263344915263815680090, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.8192._.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8192.O', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8192._.O', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118199
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 26584437368957304324849359172895894349, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.8192._.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8192.P', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8192._.P', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118200
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 1209600, 42378967770422286201683623371542706569616694429, 608358522430652395702110905971241981344, 42378967778587564701768431657571448979573065763, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.8192._.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8192.Q', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8192._.Q', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118201
{'ambient': '51200000000.gt', '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': [384142702560432544, 42378967770422286201683675126674240440424857683, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.8192._.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8192.R', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8192._.R', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118202
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 51755131533865060274490, 1209600, 608358522430652395702110905971241981344, 42378967778587564701768431657571448979573065763, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.8192._.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8192.S', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8192._.S', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118203
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 19679114160, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.8192._.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8192.T', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8192._.T', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118204
{'ambient': '51200000000.gt', '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': [384142702560432544, 9209579619345408823540441140720816576, 33, 26584438305803368521974190053290800480, 1209600, 608358522430652395702110905971241981344, 42378967761212706298824369131135749593561347290, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.8192._.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8192.U', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8192._.U', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118205
{'ambient': '51200000000.gt', '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': [384142702560432544, 33, 26584438305803368521974190053290800480, 1209600, 608358522430652395702110905971241981344, 9209579619345385168428503525571305520, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 42378967761212706298824448986298303225050760356, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.8192._.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8192.V', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8192._.V', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118206
{'ambient': '51200000000.gt', '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': [384142702560432544, 33, 1209600, 26584438305803288666811636621065321616, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 42378967778587564985282352484681435947882182410, 9209579619345436923565749056443860544, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.8192._.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8192.W', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8192._.W', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118207
{'ambient': '51200000000.gt', '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': [384142702560432544, 33, 1209600, 9209579619345357068403195609848263050, 26584438305803288666811636621065321616, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 42378967778587564985282352484681435947882182410, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.8192._.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8192.X', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8192._.X', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118208
{'ambient': '51200000000.gt', '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': 2, 'diagramx': None, 'generators': [42378967778587564985282352484668610619208373690, 42378967778587564985282352484675724380263813610, 62762714095992133411203348686102428303393977696, 28100031020285230022464, 608358494990699441747094624795772473696, 19679114160, 187770078720, 9209579292679325310996990048080950429, 42378967778587564701768483412683042895134851810, 20425781607291124255753670365345785762160668743, 9157942499263344915544033067553, 131783, 231331231202979306663682255908232852554378017210, 814868859623283376743310930168996030838515095075, 26584437368957224469726684209804030919, 384142771057661280, 647475510142073733120000, 79855162553888794326993, 19939418764438320, 42378967761212707235670461428265948975186329010, 816513, 408960], 'label': '51200000000.gt.8._.BL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BL', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118209
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id: 222118210
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 1209600, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 42378967778587564701768431657565737057932159283, 9157942499263344915263815680090, 280216752570, 1180931214473494978994271197257957580224, 42378967770422285918169777954670478624873265156, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.8192._.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8192.Z', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8192._.Z', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118211
{'ambient': '51200000000.gt', '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': [384142702560432544, 42378967770422285918169726199538944754063651829, 79855162554169010263056, 33, 1209600, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 280216752570, 26584438305803316766836944634983335770, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.8192._.BA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8192.BA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8192._.BA', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118212
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 1209600, 608358522430652395702110905971241981344, 26584438305803368521954250634528303280, 936846064197104891481311749229, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.8192._.BB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8192.BB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8192._.BB', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118213
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 1209600, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 26584437368957252569737765076268978519, 9157942499263344915263815680090, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464, 42378967770422286201683623371562645995524023069], 'label': '51200000000.gt.8192._.BC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8192.BC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8192._.BC', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118214
{'ambient': '51200000000.gt', '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': [384142702560432544, 42378967770422286201683675126679952356755754803, 79855162554169010263056, 33, 1209600, 42378967778587564985282328829575210800433561636, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.8192._.BD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8192.BD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8192._.BD', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118219
{'ambient': '51200000000.gt', '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': 2, 'diagramx': None, 'generators': [42378967778587564985282352484668610619208373690, 42378967778587564985282352484675724380263813610, 62762714095992133411203348686102428303393977696, 28100031020285230022464, 608358494990699441747094624795772473696, 42378967778587564985282352484668610631702252173, 251219854132988798975110827188214834765376238856, 19679114160, 187770078720, 9209579292679325310996990048080950429, 42378967778587564701768483412683042895134851810, 20425781607291124255753670365345785762160668743, 774596117487626362548314482200449263442505959010, 9157942499263344915544033067553, 384142771057661280, 26584437368957224469726684209804030919, 647475510142073733120000, 79855162553888794326993, 19939418764438320, 42378967761212707235670461428265948975186329010, 816513, 408960], 'label': '51200000000.gt.8._.BM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BM', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118220
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 608358522430652395702110905971241981344, 42378967778587564985282328829569498878793774036, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.8192._.BI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8192.BI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8192._.BI', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118221
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 1209600, 51755131533883781284650, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 42378967770422286201683623371542706576761836909, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.8192._.BJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8192.BJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8192._.BJ', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118222
{'ambient': '51200000000.gt', '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': [42378967770422286201683675126674240435115968643, 384142702560432544, 79855162554169010263056, 33, 26584438305803316766842656556622396170, 1209600, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.8192._.BK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8192.BK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8192._.BK', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118223
{'ambient': '51200000000.gt', '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': [384142702560432544, 42378967770422286201683675126674240435115968643, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.8192._.BL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8192.BL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8192._.BL', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118224
{'ambient': '51200000000.gt', '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': [42378967770422286201683675126674240435115968643, 384142702560432544, 79855162554169010263056, 33, 1209600, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 280216752570, 1180931214473494978994271197257957580224, 26584437368957252569732053154631036999, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.8192._.BM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8192.BM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8192._.BM', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118225
{'ambient': '51200000000.gt', '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': [384142702560432544, 79855162554169010263056, 33, 26584438305803368521974190053290800480, 1209600, 26584437368957304324849359192574912029, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.8192._.BN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8192.BN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8192._.BN', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118226
{'ambient': '51200000000.gt', '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': [42378967770422286201683675126674240435115968643, 384142702560432544, 79855162554169010263056, 33, 1209600, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 936846115952242137248331729479, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.8192._.BO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8192.BO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8192._.BO', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118227
{'ambient': '51200000000.gt', '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': [384142702560432544, 42378967770422286201683675126674240435115968643, 79855162554169010263056, 33, 1209600, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 280216752570, 1180931214473494978994271197257957580224, 936846064197124830900074246429, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.8192._.BP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8192.BP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8192._.BP', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118228
{'ambient': '51200000000.gt', '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': [384142702560432544, 42378967761212706298824369131135749586855293930, 33, 26584438305803368521974190053290800480, 1209600, 608358522430652395702110905971241981344, 20425781607291124255753750220488400069770140839, 9157942499263344915263815680090, 42378967778587564985282352484681435947882182410, 280216752570, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464], 'label': '51200000000.gt.8192._.BQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8192.BQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8192._.BQ', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118229
{'ambient': '51200000000.gt', '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': [26584438305803288666811636621065321616, 42378967778587564985282352484681435947882182410, 33, 608358522430652395702110905971241981344, 280216752570, 1209600, 384142702560432544, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464, 9157942499263344915263815680090, 20425781607291124255753750220488400069770140839], 'label': '51200000000.gt.16384._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16384.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16384._.A', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118230
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id: 222118231
{'ambient': '51200000000.gt', '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': [26584438305803288666811636621065321616, 33, 608358522430652395702110905971241981344, 280216752570, 1209600, 384142702560432544, 42378967778587564985282328829569498878793774036, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464, 9157942499263344915263815680090, 20425781607291124255753750220488400069770140839], 'label': '51200000000.gt.16384._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16384.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16384._.B', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118232
{'ambient': '51200000000.gt', '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': [42378967778587564985282352484681435947882182410, 33, 26584438305803368521974190053290800480, 608358522430652395702110905971241981344, 280216752570, 1209600, 384142702560432544, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464, 9157942499263344915263815680090, 20425781607291124255753750220488400069770140839], 'label': '51200000000.gt.16384._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16384.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16384._.C', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118233
{'ambient': '51200000000.gt', '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': [33, 26584438305803368521974190053290800480, 608358522430652395702110905971241981344, 280216752570, 1209600, 384142702560432544, 42378967778587564985282328829569498878793774036, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464, 9157942499263344915263815680090, 20425781607291124255753750220488400069770140839], 'label': '51200000000.gt.16384._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16384.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16384._.D', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118234
{'ambient': '51200000000.gt', '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': [33, 608358522430652395702110905971241981344, 280216752570, 1209600, 384142702560432544, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464, 9157942499263344915263815680090, 79855162554169010263056, 20425781607291124255753750220488400069770140839, 42378967770422285918169777954676190546512326996], 'label': '51200000000.gt.16384._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16384.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16384._.E', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118235
{'ambient': '51200000000.gt', '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': [33, 26584437368957304324849359192574912029, 608358522430652395702110905971241981344, 280216752570, 1209600, 384142702560432544, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464, 9157942499263344915263815680090, 79855162554169010263056, 20425781607291124255753750220488400069770140839], 'label': '51200000000.gt.16384._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16384.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16384._.F', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118236
{'ambient': '51200000000.gt', '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': [42378967778587564701768431657571448979573065763, 33, 608358522430652395702110905971241981344, 280216752570, 1209600, 384142702560432544, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464, 9157942499263344915263815680090, 79855162554169010263056, 20425781607291124255753750220488400069770140839], 'label': '51200000000.gt.16384._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16384.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16384._.G', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118237
{'ambient': '51200000000.gt', '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': [936846064197124830900074246429, 33, 608358522430652395702110905971241981344, 280216752570, 1209600, 384142702560432544, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464, 9157942499263344915263815680090, 79855162554169010263056, 20425781607291124255753750220488400069770140839], 'label': '51200000000.gt.16384._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16384.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16384._.H', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118241
{'ambient': '51200000000.gt', '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': 2, 'diagramx': None, 'generators': [42378967778587564985282352484668610619208373690, 42378967778587564985282352484675724380263813610, 62762714095992133411203348686102428303393977696, 28100031020285230022464, 608358494990699441747094624795772473696, 42378967778587564985282352484668610631702252173, 19679114160, 187770078720, 9209579292679325310996990048080950429, 42378967778587564701768483412683042895134851810, 20425781607291124255753670365345785762160668743, 774596117487626362548314482200449263442505959010, 271603972461095007157423357143249353381659641524, 9157942499263344915544033067553, 384142771057661280, 26584437368957224469726684209804030919, 647475510142073733120000, 79855162553888794326993, 19939418764438320, 42378967761212707235670461428265948975186329010, 816513, 408960], 'label': '51200000000.gt.8._.BO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BO', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118242
{'ambient': '51200000000.gt', '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': [33, 608358522430652395702110905971241981344, 280216752570, 1209600, 384142702560432544, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464, 42378967770422285918169754299564252769379796490, 9157942499263344915263815680090, 20425781607291124255753750220488400069770140839], 'label': '51200000000.gt.32768._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32768.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32768._.A', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118243
{'ambient': '51200000000.gt', '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': [33, 608358522430652395702110905971241981344, 280216752570, 1209600, 384142702560432544, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464, 9157942499263344915263815680090, 20425781607291124255753750220488400069770140839, 42378967770422285918169777954676190546512326996], 'label': '51200000000.gt.32768._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32768.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32768._.B', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118244
{'ambient': '51200000000.gt', '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': [42378967778587564985282352484681435947882182410, 33, 608358522430652395702110905971241981344, 280216752570, 1209600, 384142702560432544, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464, 9157942499263344915263815680090, 20425781607291124255753750220488400069770140839], 'label': '51200000000.gt.32768._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32768.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32768._.C', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118245
{'ambient': '51200000000.gt', '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': [33, 608358522430652395702110905971241981344, 280216752570, 1209600, 384142702560432544, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464, 9157942499263344915263815680090, 79855162554169010263056, 20425781607291124255753750220488400069770140839], 'label': '51200000000.gt.32768._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32768.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32768._.D', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118246
{'ambient': '51200000000.gt', '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': [26584438305803288666811636621065321616, 33, 608358522430652395702110905971241981344, 280216752570, 1209600, 384142702560432544, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464, 9157942499263344915263815680090, 20425781607291124255753750220488400069770140839], 'label': '51200000000.gt.32768._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32768.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32768._.E', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118247
{'ambient': '51200000000.gt', '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': [33, 26584438305803368521974190053290800480, 608358522430652395702110905971241981344, 280216752570, 1209600, 384142702560432544, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464, 9157942499263344915263815680090, 20425781607291124255753750220488400069770140839], 'label': '51200000000.gt.32768._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32768.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32768._.F', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118248
{'ambient': '51200000000.gt', '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': [33, 608358522430652395702110905971241981344, 280216752570, 1209600, 384142702560432544, 42378967778587564985282328829569498878793774036, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464, 9157942499263344915263815680090, 20425781607291124255753750220488400069770140839], 'label': '51200000000.gt.32768._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32768.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32768._.G', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118249
{'ambient': '51200000000.gt', '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': [33, 608358522430652395702110905971241981344, 280216752570, 1209600, 384142702560432544, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464, 9157942499263344915263815680090, 20425781607291124255753750220488400069770140839], 'label': '51200000000.gt.65536._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '65536.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '65536._.A', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118250
{'ambient': '51200000000.gt', 'aut_centralizer_order': None, 'aut_label': '131072.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': [384142702560432544, 9157942499263344915263815680090, 1209600, 608358522430652395702110905971241981344, 1180931214473494978994271197257957580224, 62762714400179639112255222441031994191620998464, 280216752570, 33], 'label': '51200000000.gt.131072.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '131072.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '131072.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118251
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id: 222118252
{'ambient': '51200000000.gt', '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': 2, 'diagramx': None, 'generators': [62762714095992133411203348686102428303393977696, 28100031020285230022464, 608358494990699441747094624795772473696, 7113748562408880, 754707493983991691139308440090643600490976836389, 19679114160, 936846115952229311596851692189, 187770078720, 9209579292679325310996990048080950429, 7185074400, 20425781607291124255753670365345785762160668743, 186817333537895255701429216272434243199600859320, 9157942499263344915544033067553, 42378967778587564985282352484668610631702216890, 384142771057661280, 26584437368957224469726684209804030919, 647475510142073733120000, 79855162553888794326993, 19939418764438320, 816513, 9209579902859334095556685388165334989, 408960], 'label': '51200000000.gt.8._.BP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BP', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118253
{'ambient': '51200000000.gt', 'aut_centralizer_order': None, 'aut_label': '51200000000.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': [], 'label': '51200000000.gt.51200000000.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '51200000000.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '51200000000.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118254
{'ambient': '51200000000.gt', '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': 2, 'diagramx': None, 'generators': [62762714095992133411203348686102428303393977696, 28100031020285230022464, 608358494990699441747094624795772473696, 7113748562408880, 19679114160, 936846115952229311596851692189, 187770078720, 9209579292679325310996990048080950429, 7185074400, 20425781607291124255753670365345785762160668743, 186817333537895255701429216272434243199600859320, 9157942499263344915544033067553, 42378967778587564985282352484668610631702216890, 384142771057661280, 26584437368957224469726684209804030919, 647475510142073733120000, 79855162553888794326993, 19939418764438320, 774596117487626362548314482200449263442505994286, 816513, 9209579902859334095556685388165334989, 408960], 'label': '51200000000.gt.8._.BQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BQ', 'subgroup_fusion': None, 'weyl_group': None}
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id: 222118255
{'ambient': '51200000000.gt', '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': 2, 'diagramx': None, 'generators': [20425781607291124255753670365345785762160668743, 187770078720, 647475510142073733120000, 408960, 384142771057661280, 82637946751355846939948523742243424762463305606, 7113748562408880, 936846115952229311596851692189, 186817333537895255701429216272434243199600859320, 9209579292679325310996990048080950429, 79855162553888794326993, 816513, 7185074400, 19939418764438320, 42378967778587564985282352484668610631702216890, 9209579902859334095556685388165334989, 26584437368957224469726684209804030919, 9157942499263344915544033067553, 19679114160, 28100031020285230022464, 62762714095992133411203348686102428303393977696, 608358494990699441747094624795772473696], 'label': '51200000000.gt.8._.BR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BR', 'subgroup_fusion': None, 'weyl_group': None}
