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gps_groups • Show schema
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{'Agroup': False, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '664.8', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 2, 'aut_exponent': 164, 'aut_gen_orders': [164, 82, 82, 164, 82], 'aut_gens': [[1, 2, 8], [5, 671, 1304], [1, 666, 344], [1, 6, 424], [669, 671, 1000], [669, 6, 392]], 'aut_group': '2624.202', 'aut_hash': 202, 'aut_nilpotency_class': 2, 'aut_nilpotent': True, 'aut_order': 2624, 'aut_permdeg': 90, 'aut_perms': [1055191511775976238783284662740483635494497567425418991541901680857797987624903373037688550208519643938754386860965297853134289634555598802, 1427667288277278778281199515871159560875371097838292106323147933398996250120255479893427265083152055363305554848571633837134982475860431816, 1479088921770264544523264798552161780509937481435146263068592468550330006848098784409964387085413887721778222819836456554042087271045033219, 1460493426617302439487115161863614657028104551495195787120187935355454455816499934937656338129337590724337035610567426963533005161843151829, 1428805968628820977270562234413301694345259272014550499978053026088096327549105135960917751460326611099128771019989180848080661080974052141], 'aut_phi_ratio': 4.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 1, 2, 1], [2, 2, 2, 1], [4, 2, 4, 1], [83, 1, 82, 1], [166, 1, 82, 1], [166, 1, 164, 1], [166, 2, 164, 1], [332, 2, 328, 1]], 'aut_supersolvable': True, 'aut_tex': 'C_{82}\\times C_2^2\\wr C_2', 'autcent_abelian': True, 'autcent_cyclic': False, 'autcent_exponent': 82, 'autcent_group': '1312.51', 'autcent_hash': 51, 'autcent_nilpotent': True, 'autcent_order': 1312, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': True, 'autcent_tex': 'C_2^4\\times C_{82}', 'autcentquo_abelian': True, 'autcentquo_cyclic': True, 'autcentquo_exponent': 2, 'autcentquo_group': '2.1', 'autcentquo_hash': 1, 'autcentquo_nilpotent': True, 'autcentquo_order': 2, 'autcentquo_solvable': True, 'autcentquo_supersolvable': True, 'autcentquo_tex': 'C_2', 'cc_stats': [[1, 1, 1], [2, 1, 3], [2, 2, 2], [4, 2, 4], [83, 1, 82], [166, 1, 246], [166, 2, 164], [332, 2, 328]], 'center_label': '332.4', 'center_order': 332, 'central_product': True, 'central_quotient': '4.2', 'commutator_count': 1, 'commutator_label': '2.1', 'complements_known': True, 'complete': False, 'complex_characters_known': False, 'composition_factors': ['2.1', '2.1', '2.1', '2.1', '83.1'], 'composition_length': 5, 'conjugacy_classes_known': True, 'counter': 3, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [['16.3', 1], ['83.1', 1]], 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 3], [2, 2, 1, 2], [4, 2, 2, 2], [83, 1, 82, 1], [166, 1, 82, 3], [166, 2, 82, 2], [332, 2, 164, 2]], 'element_repr_type': 'PC', 'elementary': 2, 'eulerian_function': 252, 'exponent': 332, 'exponents_of_order': [4, 1], 'factors_of_aut_order': [2, 41], 'factors_of_order': [2, 83], 'faithful_reps': [], 'familial': False, 'frattini_label': '4.2', 'frattini_quotient': '332.4', 'hash': 3, 'hyperelementary': 2, 'inner_abelian': True, 'inner_cyclic': False, 'inner_exponent': 2, 'inner_gen_orders': [2, 2, 1], 'inner_gens': [[1, 666, 8], [665, 2, 8], [1, 2, 8]], 'inner_hash': 2, 'inner_nilpotent': True, 'inner_order': 4, 'inner_split': True, 'inner_tex': 'C_2^2', 'inner_used': [1, 2], 'irrC_degree': -1, 'irrQ_degree': -1, 'irrQ_dim': -1, 'irrR_degree': None, 'irrep_stats': [[1, 664], [2, 166]], 'label': '1328.3', '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': True, 'metacyclic': False, 'monomial': True, 'name': 'C2^2:C332', 'ngens': 5, 'nilpotency_class': 2, 'nilpotent': True, 'normal_counts': [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 10, 'number_characteristic_subgroups': 10, 'number_conjugacy_classes': 830, 'number_divisions': 16, 'number_normal_subgroups': 22, 'number_subgroup_autclasses': 22, 'number_subgroup_classes': 34, 'number_subgroups': 46, 'old_label': None, 'order': 1328, 'order_factorization_type': 31, 'order_stats': [[1, 1], [2, 7], [4, 8], [83, 82], [166, 574], [332, 656]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': False, 'outer_exponent': 164, 'outer_gen_orders': [2, 2, 164], 'outer_gen_pows': [0, 0, 0], 'outer_gens': [[1, 2, 1320], [5, 2, 8], [5, 671, 296]], 'outer_group': '656.47', 'outer_hash': 47, 'outer_nilpotent': True, 'outer_order': 656, 'outer_permdeg': 328, 'outer_perms': [1296641573376043862739800689426505529842187700511520710550652174081024121567127232017844480747418723192305903449688551675909134892228483363133357629476473180651116812301141287271835182813281421945435167756813842505365401023362392446591800983818268764542023517598488377298515788501259837835245053851432782684113146305371607400653318277592817888636327405099711857493845912308949429698446405585107845465753883552685363781258416792313563455464185278112221176899230260994575063390160423552288100438237516414851476160018539958696992774708070441521725637399699194560339703147968895321225266070335280646424467105301355668979110174256084366993773851312128000000000000000000000000000000000000000, 15933517442228415891262913458503844263494543432362700385705890727351589537725143665669482219965211668843896387571587505046422774308997802682386526921231453420886102307194748889128684039321803747733899081879607771044543537854056167581680364711598704328817310267780106952533601632827619505464757409576327137832423357964653090834947174990607583256416062800485488025228737610966629520839355605047312092129981220540825366674131354403745066202541089996046234619549791098788811739070750067842117555672200325663033099549087087326141439697426383412009034826921317735381695069727901294204028149575322063673206731775672858334622049511196034863497136421582576973186913717066833313836623084775996, 652310154693290263355034656683386954616608614692885730605381791969785589016147839236199282816786067915315023650368297959624916801034730823516065577624984241544303042616547129789745961190290142108947978343155795233833119018694164082294612770587949950638038649611140112588489060891871015073461947607450909976119668933448747309469851371612483699962837168596282820952535519087515525310588415645315538830212760878436447413455101181409405724314396391686534486961269611218792244228496749976466043614193631973734766125929620653085444778681559682916734795188457615180758191964314803382441385872720284043421657081800638985202600356526019054953846811084584613146491110216399843036356473729695797], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'D_4\\times C_{82}', 'pc_rank': 3, 'perfect': False, 'permutation_degree': 91, 'pgroup': 0, 'primary_abelian_invariants': [2, 4, 83], 'quasisimple': False, 'rank': 2, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 4], [2, 4], [82, 4], [164, 4]], 'representations': {'PC': {'code': 13283423024584727637393, 'gens': [1, 2, 4], 'pres': [5, -2, -2, -2, -2, -83, 6661, 26, 58]}, 'Perm': {'d': 91, 'gens': [7495547487292921841178924183784245695647490495349129244289009801151238956035226473056852130577487669047318595987360972800000000000000000000, 1485901520372040109777510084419936170524981778356363758524437000099588444354239765423545645646733227479054612608183173120000000000000000000, 3004447888302951507003054124687501009725461004572224991114172683313369947202333324375276508364353163324013408885827174400000000000000000000, 1485901471354428519555935265498993875190340028826509385004525085611855625408795213619053225165723384771733833428311736320000000000000000000, 38979875363505302337055332973131205624792690113575452946607196594293007568261730186266584808295291703787520000000000000000000]}}, 'schur_multiplier': [2, 2], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 332], 'solvability_type': 4, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'C_2^2:C_{332}', 'transitive_degree': 664, 'wreath_data': None, 'wreath_product': False}
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gps_conj_classes • Show schema
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id: 115164860
{'aut_label': '1A', 'centralizer': '1.a1.a1', 'counter': 1, 'group_counter': 3, 'group_order': 1328, 'label': '1A', 'order': 1, 'powers': [1, 1, 1], 'representative': 0, 'size': 1}
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id: 115164971
{'aut_label': '2A', 'centralizer': '1.a1.a1', 'counter': 2, 'group_counter': 3, 'group_order': 1328, 'label': '2A', 'order': 2, 'powers': [1, 2, 2], 'representative': 664, 'size': 1}
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id: 115165082
{'aut_label': '2B', 'centralizer': '1.a1.a1', 'counter': 3, 'group_counter': 3, 'group_order': 1328, 'label': '2B', 'order': 2, 'powers': [1, 3, 3], 'representative': 4, 'size': 1}
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id: 115165193
{'aut_label': '2B', 'centralizer': '1.a1.a1', 'counter': 4, 'group_counter': 3, 'group_order': 1328, 'label': '2C', 'order': 2, 'powers': [1, 4, 4], 'representative': 668, 'size': 1}
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id: 115165304
{'aut_label': '2D', 'centralizer': '2.a1.a1', 'counter': 5, 'group_counter': 3, 'group_order': 1328, 'label': '2D', 'order': 2, 'powers': [1, 5, 5], 'representative': 1, 'size': 2}
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id: 115165415
{'aut_label': '2D', 'centralizer': '2.a1.a1', 'counter': 6, 'group_counter': 3, 'group_order': 1328, 'label': '2E', 'order': 2, 'powers': [1, 6, 6], 'representative': 5, 'size': 2}
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id: 115165526
{'aut_label': '4A1', 'centralizer': '2.b1.a1', 'counter': 7, 'group_counter': 3, 'group_order': 1328, 'label': '4A1', 'order': 4, 'powers': [3, 7, 8], 'representative': 6, 'size': 2}
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id: 115165637
{'aut_label': '4A1', 'centralizer': '2.b1.a1', 'counter': 8, 'group_counter': 3, 'group_order': 1328, 'label': '4A-1', 'order': 4, 'powers': [3, 8, 7], 'representative': 2, 'size': 2}
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id: 115165679
{'aut_label': '4A1', 'centralizer': '2.b1.b1', 'counter': 9, 'group_counter': 3, 'group_order': 1328, 'label': '4B1', 'order': 4, 'powers': [4, 9, 10], 'representative': 671, 'size': 2}
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id: 115164861
{'aut_label': '4A1', 'centralizer': '2.b1.b1', 'counter': 10, 'group_counter': 3, 'group_order': 1328, 'label': '4B-1', 'order': 4, 'powers': [4, 10, 9], 'representative': 3, 'size': 2}
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id: 115164872
{'aut_label': '83A1', 'centralizer': '1.a1.a1', 'counter': 11, 'group_counter': 3, 'group_order': 1328, 'label': '83A1', 'order': 83, 'powers': [13, 91, 1], 'representative': 16, 'size': 1}
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id: 115164883
{'aut_label': '83A1', 'centralizer': '1.a1.a1', 'counter': 12, 'group_counter': 3, 'group_order': 1328, 'label': '83A-1', 'order': 83, 'powers': [14, 92, 1], 'representative': 1312, 'size': 1}
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id: 115164894
{'aut_label': '83A1', 'centralizer': '1.a1.a1', 'counter': 13, 'group_counter': 3, 'group_order': 1328, 'label': '83A2', 'order': 83, 'powers': [17, 12, 1], 'representative': 32, 'size': 1}
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id: 115164905
{'aut_label': '83A1', 'centralizer': '1.a1.a1', 'counter': 14, 'group_counter': 3, 'group_order': 1328, 'label': '83A-2', 'order': 83, 'powers': [18, 11, 1], 'representative': 1296, 'size': 1}
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id: 115164916
{'aut_label': '83A1', 'centralizer': '1.a1.a1', 'counter': 15, 'group_counter': 3, 'group_order': 1328, 'label': '83A3', 'order': 83, 'powers': [21, 89, 1], 'representative': 48, 'size': 1}
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id: 115164927
{'aut_label': '83A1', 'centralizer': '1.a1.a1', 'counter': 16, 'group_counter': 3, 'group_order': 1328, 'label': '83A-3', 'order': 83, 'powers': [22, 90, 1], 'representative': 1280, 'size': 1}
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id: 115164938
{'aut_label': '83A1', 'centralizer': '1.a1.a1', 'counter': 17, 'group_counter': 3, 'group_order': 1328, 'label': '83A4', 'order': 83, 'powers': [25, 14, 1], 'representative': 64, 'size': 1}
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id: 115164949
{'aut_label': '83A1', 'centralizer': '1.a1.a1', 'counter': 18, 'group_counter': 3, 'group_order': 1328, 'label': '83A-4', 'order': 83, 'powers': [26, 13, 1], 'representative': 1264, 'size': 1}
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id: 115164960
{'aut_label': '83A1', 'centralizer': '1.a1.a1', 'counter': 19, 'group_counter': 3, 'group_order': 1328, 'label': '83A5', 'order': 83, 'powers': [29, 87, 1], 'representative': 80, 'size': 1}
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id: 115164972
{'aut_label': '83A1', 'centralizer': '1.a1.a1', 'counter': 20, 'group_counter': 3, 'group_order': 1328, 'label': '83A-5', 'order': 83, 'powers': [30, 88, 1], 'representative': 1248, 'size': 1}
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id: 115164983
{'aut_label': '83A1', 'centralizer': '1.a1.a1', 'counter': 21, 'group_counter': 3, 'group_order': 1328, 'label': '83A6', 'order': 83, 'powers': [33, 16, 1], 'representative': 96, 'size': 1}
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id: 115164994
{'aut_label': '83A1', 'centralizer': '1.a1.a1', 'counter': 22, 'group_counter': 3, 'group_order': 1328, 'label': '83A-6', 'order': 83, 'powers': [34, 15, 1], 'representative': 1232, 'size': 1}
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id: 115165005
{'aut_label': '83A1', 'centralizer': '1.a1.a1', 'counter': 23, 'group_counter': 3, 'group_order': 1328, 'label': '83A7', 'order': 83, 'powers': [37, 85, 1], 'representative': 112, 'size': 1}
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id: 115165016
{'aut_label': '83A1', 'centralizer': '1.a1.a1', 'counter': 24, 'group_counter': 3, 'group_order': 1328, 'label': '83A-7', 'order': 83, 'powers': [38, 86, 1], 'representative': 1216, 'size': 1}
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id: 115165027
{'aut_label': '83A1', 'centralizer': '1.a1.a1', 'counter': 25, 'group_counter': 3, 'group_order': 1328, 'label': '83A8', 'order': 83, 'powers': [41, 18, 1], 'representative': 128, 'size': 1}
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id: 115165038
{'aut_label': '83A1', 'centralizer': '1.a1.a1', 'counter': 26, 'group_counter': 3, 'group_order': 1328, 'label': '83A-8', 'order': 83, 'powers': [42, 17, 1], 'representative': 1200, 'size': 1}
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id: 115165049
{'aut_label': '83A1', 'centralizer': '1.a1.a1', 'counter': 27, 'group_counter': 3, 'group_order': 1328, 'label': '83A9', 'order': 83, 'powers': [45, 83, 1], 'representative': 144, 'size': 1}
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id: 115165060
{'aut_label': '83A1', 'centralizer': '1.a1.a1', 'counter': 28, 'group_counter': 3, 'group_order': 1328, 'label': '83A-9', 'order': 83, 'powers': [46, 84, 1], 'representative': 1184, 'size': 1}
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id: 115165071
{'aut_label': '83A1', 'centralizer': '1.a1.a1', 'counter': 29, 'group_counter': 3, 'group_order': 1328, 'label': '83A10', 'order': 83, 'powers': [49, 20, 1], 'representative': 160, 'size': 1}
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id: 115165083
{'aut_label': '83A1', 'centralizer': '1.a1.a1', 'counter': 30, 'group_counter': 3, 'group_order': 1328, 'label': '83A-10', 'order': 83, 'powers': [50, 19, 1], 'representative': 1168, 'size': 1}
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id: 115165094
{'aut_label': '83A1', 'centralizer': '1.a1.a1', 'counter': 31, 'group_counter': 3, 'group_order': 1328, 'label': '83A11', 'order': 83, 'powers': [53, 81, 1], 'representative': 176, 'size': 1}
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id: 115165105
{'aut_label': '83A1', 'centralizer': '1.a1.a1', 'counter': 32, 'group_counter': 3, 'group_order': 1328, 'label': '83A-11', 'order': 83, 'powers': [54, 82, 1], 'representative': 1152, 'size': 1}
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id: 115165116
{'aut_label': '83A1', 'centralizer': '1.a1.a1', 'counter': 33, 'group_counter': 3, 'group_order': 1328, 'label': '83A12', 'order': 83, 'powers': [57, 22, 1], 'representative': 192, 'size': 1}
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id: 115165127
{'aut_label': '83A1', 'centralizer': '1.a1.a1', 'counter': 34, 'group_counter': 3, 'group_order': 1328, 'label': '83A-12', 'order': 83, 'powers': [58, 21, 1], 'representative': 1136, 'size': 1}
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id: 115165138
{'aut_label': '83A1', 'centralizer': '1.a1.a1', 'counter': 35, 'group_counter': 3, 'group_order': 1328, 'label': '83A13', 'order': 83, 'powers': [61, 79, 1], 'representative': 208, 'size': 1}
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id: 115165149
{'aut_label': '83A1', 'centralizer': '1.a1.a1', 'counter': 36, 'group_counter': 3, 'group_order': 1328, 'label': '83A-13', 'order': 83, 'powers': [62, 80, 1], 'representative': 1120, 'size': 1}
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id: 115165160
{'aut_label': '83A1', 'centralizer': '1.a1.a1', 'counter': 37, 'group_counter': 3, 'group_order': 1328, 'label': '83A14', 'order': 83, 'powers': [65, 24, 1], 'representative': 224, 'size': 1}
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id: 115165171
{'aut_label': '83A1', 'centralizer': '1.a1.a1', 'counter': 38, 'group_counter': 3, 'group_order': 1328, 'label': '83A-14', 'order': 83, 'powers': [66, 23, 1], 'representative': 1104, 'size': 1}
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id: 115165182
{'aut_label': '83A1', 'centralizer': '1.a1.a1', 'counter': 39, 'group_counter': 3, 'group_order': 1328, 'label': '83A15', 'order': 83, 'powers': [69, 77, 1], 'representative': 240, 'size': 1}
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id: 115165194
{'aut_label': '83A1', 'centralizer': '1.a1.a1', 'counter': 40, 'group_counter': 3, 'group_order': 1328, 'label': '83A-15', 'order': 83, 'powers': [70, 78, 1], 'representative': 1088, 'size': 1}
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id: 115165205
{'aut_label': '83A1', 'centralizer': '1.a1.a1', 'counter': 41, 'group_counter': 3, 'group_order': 1328, 'label': '83A16', 'order': 83, 'powers': [73, 26, 1], 'representative': 256, 'size': 1}
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id: 115165216
{'aut_label': '83A1', 'centralizer': '1.a1.a1', 'counter': 42, 'group_counter': 3, 'group_order': 1328, 'label': '83A-16', 'order': 83, 'powers': [74, 25, 1], 'representative': 1072, 'size': 1}
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id: 115165227
{'aut_label': '83A1', 'centralizer': '1.a1.a1', 'counter': 43, 'group_counter': 3, 'group_order': 1328, 'label': '83A17', 'order': 83, 'powers': [77, 75, 1], 'representative': 272, 'size': 1}
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id: 115165238
{'aut_label': '83A1', 'centralizer': '1.a1.a1', 'counter': 44, 'group_counter': 3, 'group_order': 1328, 'label': '83A-17', 'order': 83, 'powers': [78, 76, 1], 'representative': 1056, 'size': 1}
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id: 115165249
{'aut_label': '83A1', 'centralizer': '1.a1.a1', 'counter': 45, 'group_counter': 3, 'group_order': 1328, 'label': '83A18', 'order': 83, 'powers': [81, 28, 1], 'representative': 288, 'size': 1}
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id: 115165260
{'aut_label': '83A1', 'centralizer': '1.a1.a1', 'counter': 46, 'group_counter': 3, 'group_order': 1328, 'label': '83A-18', 'order': 83, 'powers': [82, 27, 1], 'representative': 1040, 'size': 1}
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id: 115165271
{'aut_label': '83A1', 'centralizer': '1.a1.a1', 'counter': 47, 'group_counter': 3, 'group_order': 1328, 'label': '83A19', 'order': 83, 'powers': [85, 73, 1], 'representative': 304, 'size': 1}
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id: 115165282
{'aut_label': '83A1', 'centralizer': '1.a1.a1', 'counter': 48, 'group_counter': 3, 'group_order': 1328, 'label': '83A-19', 'order': 83, 'powers': [86, 74, 1], 'representative': 1024, 'size': 1}
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id: 115165293
{'aut_label': '83A1', 'centralizer': '1.a1.a1', 'counter': 49, 'group_counter': 3, 'group_order': 1328, 'label': '83A20', 'order': 83, 'powers': [89, 30, 1], 'representative': 320, 'size': 1}
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id: 115165305
{'aut_label': '83A1', 'centralizer': '1.a1.a1', 'counter': 50, 'group_counter': 3, 'group_order': 1328, 'label': '83A-20', 'order': 83, 'powers': [90, 29, 1], 'representative': 1008, 'size': 1}
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id: 115165316
{'aut_label': '83A1', 'centralizer': '1.a1.a1', 'counter': 51, 'group_counter': 3, 'group_order': 1328, 'label': '83A21', 'order': 83, 'powers': [92, 71, 1], 'representative': 336, 'size': 1}
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id: 115165327
{'aut_label': '83A1', 'centralizer': '1.a1.a1', 'counter': 52, 'group_counter': 3, 'group_order': 1328, 'label': '83A-21', 'order': 83, 'powers': [91, 72, 1], 'representative': 992, 'size': 1}
-
id: 115165338
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id: 115165349
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id: 115165360
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id: 115165371
{'aut_label': '83A1', 'centralizer': '1.a1.a1', 'counter': 56, 'group_counter': 3, 'group_order': 1328, 'label': '83A-23', 'order': 83, 'powers': [83, 70, 1], 'representative': 960, 'size': 1}
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id: 115165382
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id: 115165393
{'aut_label': '83A1', 'centralizer': '1.a1.a1', 'counter': 58, 'group_counter': 3, 'group_order': 1328, 'label': '83A-24', 'order': 83, 'powers': [79, 33, 1], 'representative': 944, 'size': 1}
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id: 115165404
{'aut_label': '83A1', 'centralizer': '1.a1.a1', 'counter': 59, 'group_counter': 3, 'group_order': 1328, 'label': '83A25', 'order': 83, 'powers': [76, 67, 1], 'representative': 400, 'size': 1}
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id: 115165416
{'aut_label': '83A1', 'centralizer': '1.a1.a1', 'counter': 60, 'group_counter': 3, 'group_order': 1328, 'label': '83A-25', 'order': 83, 'powers': [75, 68, 1], 'representative': 928, 'size': 1}
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id: 115165427
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id: 115165438
{'aut_label': '83A1', 'centralizer': '1.a1.a1', 'counter': 62, 'group_counter': 3, 'group_order': 1328, 'label': '83A-26', 'order': 83, 'powers': [71, 35, 1], 'representative': 912, 'size': 1}
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id: 115165449
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id: 115165460
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id: 115165471
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id: 115165482
{'aut_label': '83A1', 'centralizer': '1.a1.a1', 'counter': 66, 'group_counter': 3, 'group_order': 1328, 'label': '83A-28', 'order': 83, 'powers': [63, 37, 1], 'representative': 880, 'size': 1}
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id: 115165493
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id: 115165504
{'aut_label': '83A1', 'centralizer': '1.a1.a1', 'counter': 68, 'group_counter': 3, 'group_order': 1328, 'label': '83A-29', 'order': 83, 'powers': [59, 64, 1], 'representative': 864, 'size': 1}
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id: 115165515
{'aut_label': '83A1', 'centralizer': '1.a1.a1', 'counter': 69, 'group_counter': 3, 'group_order': 1328, 'label': '83A30', 'order': 83, 'powers': [56, 40, 1], 'representative': 480, 'size': 1}
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id: 115165527
{'aut_label': '83A1', 'centralizer': '1.a1.a1', 'counter': 70, 'group_counter': 3, 'group_order': 1328, 'label': '83A-30', 'order': 83, 'powers': [55, 39, 1], 'representative': 848, 'size': 1}
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id: 115165538
{'aut_label': '83A1', 'centralizer': '1.a1.a1', 'counter': 71, 'group_counter': 3, 'group_order': 1328, 'label': '83A31', 'order': 83, 'powers': [52, 61, 1], 'representative': 496, 'size': 1}
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id: 115165549
{'aut_label': '83A1', 'centralizer': '1.a1.a1', 'counter': 72, 'group_counter': 3, 'group_order': 1328, 'label': '83A-31', 'order': 83, 'powers': [51, 62, 1], 'representative': 832, 'size': 1}
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id: 115165560
{'aut_label': '83A1', 'centralizer': '1.a1.a1', 'counter': 73, 'group_counter': 3, 'group_order': 1328, 'label': '83A32', 'order': 83, 'powers': [48, 42, 1], 'representative': 512, 'size': 1}
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id: 115165571
{'aut_label': '83A1', 'centralizer': '1.a1.a1', 'counter': 74, 'group_counter': 3, 'group_order': 1328, 'label': '83A-32', 'order': 83, 'powers': [47, 41, 1], 'representative': 816, 'size': 1}
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id: 115165582
{'aut_label': '83A1', 'centralizer': '1.a1.a1', 'counter': 75, 'group_counter': 3, 'group_order': 1328, 'label': '83A33', 'order': 83, 'powers': [44, 59, 1], 'representative': 528, 'size': 1}
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id: 115165593
{'aut_label': '83A1', 'centralizer': '1.a1.a1', 'counter': 76, 'group_counter': 3, 'group_order': 1328, 'label': '83A-33', 'order': 83, 'powers': [43, 60, 1], 'representative': 800, 'size': 1}
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id: 115165604
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id: 115165615
{'aut_label': '83A1', 'centralizer': '1.a1.a1', 'counter': 78, 'group_counter': 3, 'group_order': 1328, 'label': '83A-34', 'order': 83, 'powers': [39, 43, 1], 'representative': 784, 'size': 1}
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id: 115165626
{'aut_label': '83A1', 'centralizer': '1.a1.a1', 'counter': 79, 'group_counter': 3, 'group_order': 1328, 'label': '83A35', 'order': 83, 'powers': [36, 57, 1], 'representative': 560, 'size': 1}
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id: 115165638
{'aut_label': '83A1', 'centralizer': '1.a1.a1', 'counter': 80, 'group_counter': 3, 'group_order': 1328, 'label': '83A-35', 'order': 83, 'powers': [35, 58, 1], 'representative': 768, 'size': 1}
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id: 115165649
{'aut_label': '83A1', 'centralizer': '1.a1.a1', 'counter': 81, 'group_counter': 3, 'group_order': 1328, 'label': '83A36', 'order': 83, 'powers': [32, 46, 1], 'representative': 576, 'size': 1}
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id: 115165660
{'aut_label': '83A1', 'centralizer': '1.a1.a1', 'counter': 82, 'group_counter': 3, 'group_order': 1328, 'label': '83A-36', 'order': 83, 'powers': [31, 45, 1], 'representative': 752, 'size': 1}
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id: 115165671
{'aut_label': '83A1', 'centralizer': '1.a1.a1', 'counter': 83, 'group_counter': 3, 'group_order': 1328, 'label': '83A37', 'order': 83, 'powers': [28, 55, 1], 'representative': 592, 'size': 1}
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id: 115165673
{'aut_label': '83A1', 'centralizer': '1.a1.a1', 'counter': 84, 'group_counter': 3, 'group_order': 1328, 'label': '83A-37', 'order': 83, 'powers': [27, 56, 1], 'representative': 736, 'size': 1}
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id: 115165674
{'aut_label': '83A1', 'centralizer': '1.a1.a1', 'counter': 85, 'group_counter': 3, 'group_order': 1328, 'label': '83A38', 'order': 83, 'powers': [24, 48, 1], 'representative': 608, 'size': 1}
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id: 115165675
{'aut_label': '83A1', 'centralizer': '1.a1.a1', 'counter': 86, 'group_counter': 3, 'group_order': 1328, 'label': '83A-38', 'order': 83, 'powers': [23, 47, 1], 'representative': 720, 'size': 1}
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id: 115165676
{'aut_label': '83A1', 'centralizer': '1.a1.a1', 'counter': 87, 'group_counter': 3, 'group_order': 1328, 'label': '83A39', 'order': 83, 'powers': [20, 53, 1], 'representative': 624, 'size': 1}
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id: 115165677
{'aut_label': '83A1', 'centralizer': '1.a1.a1', 'counter': 88, 'group_counter': 3, 'group_order': 1328, 'label': '83A-39', 'order': 83, 'powers': [19, 54, 1], 'representative': 704, 'size': 1}
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id: 115165678
{'aut_label': '83A1', 'centralizer': '1.a1.a1', 'counter': 89, 'group_counter': 3, 'group_order': 1328, 'label': '83A40', 'order': 83, 'powers': [16, 50, 1], 'representative': 640, 'size': 1}
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id: 115165680
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id: 115165681
{'aut_label': '83A1', 'centralizer': '1.a1.a1', 'counter': 91, 'group_counter': 3, 'group_order': 1328, 'label': '83A41', 'order': 83, 'powers': [12, 51, 1], 'representative': 656, 'size': 1}
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id: 115165682
{'aut_label': '83A1', 'centralizer': '1.a1.a1', 'counter': 92, 'group_counter': 3, 'group_order': 1328, 'label': '83A-41', 'order': 83, 'powers': [11, 52, 1], 'representative': 672, 'size': 1}
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id: 115165683
{'aut_label': '166A1', 'centralizer': '1.a1.a1', 'counter': 93, 'group_counter': 3, 'group_order': 1328, 'label': '166A1', 'order': 166, 'powers': [11, 133, 2], 'representative': 8, 'size': 1}
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id: 115165684
{'aut_label': '166A1', 'centralizer': '1.a1.a1', 'counter': 94, 'group_counter': 3, 'group_order': 1328, 'label': '166A-1', 'order': 166, 'powers': [12, 134, 2], 'representative': 1320, 'size': 1}
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id: 115165685
{'aut_label': '166A1', 'centralizer': '1.a1.a1', 'counter': 95, 'group_counter': 3, 'group_order': 1328, 'label': '166A3', 'order': 166, 'powers': [15, 136, 2], 'representative': 24, 'size': 1}
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id: 115165686
{'aut_label': '166A1', 'centralizer': '1.a1.a1', 'counter': 96, 'group_counter': 3, 'group_order': 1328, 'label': '166A-3', 'order': 166, 'powers': [16, 135, 2], 'representative': 1304, 'size': 1}
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id: 115165687
{'aut_label': '166A1', 'centralizer': '1.a1.a1', 'counter': 97, 'group_counter': 3, 'group_order': 1328, 'label': '166A5', 'order': 166, 'powers': [19, 131, 2], 'representative': 40, 'size': 1}
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id: 115165688
{'aut_label': '166A1', 'centralizer': '1.a1.a1', 'counter': 98, 'group_counter': 3, 'group_order': 1328, 'label': '166A-5', 'order': 166, 'powers': [20, 132, 2], 'representative': 1288, 'size': 1}
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id: 115165689
{'aut_label': '166A1', 'centralizer': '1.a1.a1', 'counter': 99, 'group_counter': 3, 'group_order': 1328, 'label': '166A7', 'order': 166, 'powers': [23, 138, 2], 'representative': 56, 'size': 1}
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id: 115164862
{'aut_label': '166A1', 'centralizer': '1.a1.a1', 'counter': 100, 'group_counter': 3, 'group_order': 1328, 'label': '166A-7', 'order': 166, 'powers': [24, 137, 2], 'representative': 1272, 'size': 1}
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id: 115164863
{'aut_label': '166A1', 'centralizer': '1.a1.a1', 'counter': 101, 'group_counter': 3, 'group_order': 1328, 'label': '166A9', 'order': 166, 'powers': [27, 129, 2], 'representative': 72, 'size': 1}
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id: 115164864
{'aut_label': '166A1', 'centralizer': '1.a1.a1', 'counter': 102, 'group_counter': 3, 'group_order': 1328, 'label': '166A-9', 'order': 166, 'powers': [28, 130, 2], 'representative': 1256, 'size': 1}
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id: 115164865
{'aut_label': '166A1', 'centralizer': '1.a1.a1', 'counter': 103, 'group_counter': 3, 'group_order': 1328, 'label': '166A11', 'order': 166, 'powers': [31, 140, 2], 'representative': 88, 'size': 1}
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id: 115164866
{'aut_label': '166A1', 'centralizer': '1.a1.a1', 'counter': 104, 'group_counter': 3, 'group_order': 1328, 'label': '166A-11', 'order': 166, 'powers': [32, 139, 2], 'representative': 1240, 'size': 1}
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id: 115164867
{'aut_label': '166A1', 'centralizer': '1.a1.a1', 'counter': 105, 'group_counter': 3, 'group_order': 1328, 'label': '166A13', 'order': 166, 'powers': [35, 127, 2], 'representative': 104, 'size': 1}
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id: 115164868
{'aut_label': '166A1', 'centralizer': '1.a1.a1', 'counter': 106, 'group_counter': 3, 'group_order': 1328, 'label': '166A-13', 'order': 166, 'powers': [36, 128, 2], 'representative': 1224, 'size': 1}
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id: 115164869
{'aut_label': '166A1', 'centralizer': '1.a1.a1', 'counter': 107, 'group_counter': 3, 'group_order': 1328, 'label': '166A15', 'order': 166, 'powers': [39, 142, 2], 'representative': 120, 'size': 1}
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id: 115164870
{'aut_label': '166A1', 'centralizer': '1.a1.a1', 'counter': 108, 'group_counter': 3, 'group_order': 1328, 'label': '166A-15', 'order': 166, 'powers': [40, 141, 2], 'representative': 1208, 'size': 1}
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id: 115164871
{'aut_label': '166A1', 'centralizer': '1.a1.a1', 'counter': 109, 'group_counter': 3, 'group_order': 1328, 'label': '166A17', 'order': 166, 'powers': [43, 125, 2], 'representative': 136, 'size': 1}
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id: 115164873
{'aut_label': '166A1', 'centralizer': '1.a1.a1', 'counter': 110, 'group_counter': 3, 'group_order': 1328, 'label': '166A-17', 'order': 166, 'powers': [44, 126, 2], 'representative': 1192, 'size': 1}
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id: 115164874
{'aut_label': '166A1', 'centralizer': '1.a1.a1', 'counter': 111, 'group_counter': 3, 'group_order': 1328, 'label': '166A19', 'order': 166, 'powers': [47, 144, 2], 'representative': 152, 'size': 1}
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id: 115164875
{'aut_label': '166A1', 'centralizer': '1.a1.a1', 'counter': 112, 'group_counter': 3, 'group_order': 1328, 'label': '166A-19', 'order': 166, 'powers': [48, 143, 2], 'representative': 1176, 'size': 1}
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id: 115164876
{'aut_label': '166A1', 'centralizer': '1.a1.a1', 'counter': 113, 'group_counter': 3, 'group_order': 1328, 'label': '166A21', 'order': 166, 'powers': [51, 123, 2], 'representative': 168, 'size': 1}
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id: 115164877
{'aut_label': '166A1', 'centralizer': '1.a1.a1', 'counter': 114, 'group_counter': 3, 'group_order': 1328, 'label': '166A-21', 'order': 166, 'powers': [52, 124, 2], 'representative': 1160, 'size': 1}
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id: 115164878
{'aut_label': '166A1', 'centralizer': '1.a1.a1', 'counter': 115, 'group_counter': 3, 'group_order': 1328, 'label': '166A23', 'order': 166, 'powers': [55, 146, 2], 'representative': 184, 'size': 1}
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id: 115164879
{'aut_label': '166A1', 'centralizer': '1.a1.a1', 'counter': 116, 'group_counter': 3, 'group_order': 1328, 'label': '166A-23', 'order': 166, 'powers': [56, 145, 2], 'representative': 1144, 'size': 1}
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id: 115164880
{'aut_label': '166A1', 'centralizer': '1.a1.a1', 'counter': 117, 'group_counter': 3, 'group_order': 1328, 'label': '166A25', 'order': 166, 'powers': [59, 121, 2], 'representative': 200, 'size': 1}
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id: 115164881
{'aut_label': '166A1', 'centralizer': '1.a1.a1', 'counter': 118, 'group_counter': 3, 'group_order': 1328, 'label': '166A-25', 'order': 166, 'powers': [60, 122, 2], 'representative': 1128, 'size': 1}
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id: 115164882
{'aut_label': '166A1', 'centralizer': '1.a1.a1', 'counter': 119, 'group_counter': 3, 'group_order': 1328, 'label': '166A27', 'order': 166, 'powers': [63, 148, 2], 'representative': 216, 'size': 1}
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id: 115164884
{'aut_label': '166A1', 'centralizer': '1.a1.a1', 'counter': 120, 'group_counter': 3, 'group_order': 1328, 'label': '166A-27', 'order': 166, 'powers': [64, 147, 2], 'representative': 1112, 'size': 1}
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id: 115164885
{'aut_label': '166A1', 'centralizer': '1.a1.a1', 'counter': 121, 'group_counter': 3, 'group_order': 1328, 'label': '166A29', 'order': 166, 'powers': [67, 119, 2], 'representative': 232, 'size': 1}
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id: 115164886
{'aut_label': '166A1', 'centralizer': '1.a1.a1', 'counter': 122, 'group_counter': 3, 'group_order': 1328, 'label': '166A-29', 'order': 166, 'powers': [68, 120, 2], 'representative': 1096, 'size': 1}
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id: 115164887
{'aut_label': '166A1', 'centralizer': '1.a1.a1', 'counter': 123, 'group_counter': 3, 'group_order': 1328, 'label': '166A31', 'order': 166, 'powers': [71, 150, 2], 'representative': 248, 'size': 1}
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id: 115164888
{'aut_label': '166A1', 'centralizer': '1.a1.a1', 'counter': 124, 'group_counter': 3, 'group_order': 1328, 'label': '166A-31', 'order': 166, 'powers': [72, 149, 2], 'representative': 1080, 'size': 1}
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id: 115164889
{'aut_label': '166A1', 'centralizer': '1.a1.a1', 'counter': 125, 'group_counter': 3, 'group_order': 1328, 'label': '166A33', 'order': 166, 'powers': [75, 117, 2], 'representative': 264, 'size': 1}
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id: 115164890
{'aut_label': '166A1', 'centralizer': '1.a1.a1', 'counter': 126, 'group_counter': 3, 'group_order': 1328, 'label': '166A-33', 'order': 166, 'powers': [76, 118, 2], 'representative': 1064, 'size': 1}
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id: 115164891
{'aut_label': '166A1', 'centralizer': '1.a1.a1', 'counter': 127, 'group_counter': 3, 'group_order': 1328, 'label': '166A35', 'order': 166, 'powers': [79, 152, 2], 'representative': 280, 'size': 1}
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id: 115164892
{'aut_label': '166A1', 'centralizer': '1.a1.a1', 'counter': 128, 'group_counter': 3, 'group_order': 1328, 'label': '166A-35', 'order': 166, 'powers': [80, 151, 2], 'representative': 1048, 'size': 1}
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id: 115164893
{'aut_label': '166A1', 'centralizer': '1.a1.a1', 'counter': 129, 'group_counter': 3, 'group_order': 1328, 'label': '166A37', 'order': 166, 'powers': [83, 115, 2], 'representative': 296, 'size': 1}
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id: 115164895
{'aut_label': '166A1', 'centralizer': '1.a1.a1', 'counter': 130, 'group_counter': 3, 'group_order': 1328, 'label': '166A-37', 'order': 166, 'powers': [84, 116, 2], 'representative': 1032, 'size': 1}
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id: 115164896
{'aut_label': '166A1', 'centralizer': '1.a1.a1', 'counter': 131, 'group_counter': 3, 'group_order': 1328, 'label': '166A39', 'order': 166, 'powers': [87, 154, 2], 'representative': 312, 'size': 1}
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id: 115164897
{'aut_label': '166A1', 'centralizer': '1.a1.a1', 'counter': 132, 'group_counter': 3, 'group_order': 1328, 'label': '166A-39', 'order': 166, 'powers': [88, 153, 2], 'representative': 1016, 'size': 1}
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id: 115164898
{'aut_label': '166A1', 'centralizer': '1.a1.a1', 'counter': 133, 'group_counter': 3, 'group_order': 1328, 'label': '166A41', 'order': 166, 'powers': [91, 113, 2], 'representative': 328, 'size': 1}
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id: 115164899
{'aut_label': '166A1', 'centralizer': '1.a1.a1', 'counter': 134, 'group_counter': 3, 'group_order': 1328, 'label': '166A-41', 'order': 166, 'powers': [92, 114, 2], 'representative': 1000, 'size': 1}
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id: 115164900
{'aut_label': '166A1', 'centralizer': '1.a1.a1', 'counter': 135, 'group_counter': 3, 'group_order': 1328, 'label': '166A43', 'order': 166, 'powers': [90, 156, 2], 'representative': 344, 'size': 1}
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id: 115164901
{'aut_label': '166A1', 'centralizer': '1.a1.a1', 'counter': 136, 'group_counter': 3, 'group_order': 1328, 'label': '166A-43', 'order': 166, 'powers': [89, 155, 2], 'representative': 984, 'size': 1}
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id: 115164902
{'aut_label': '166A1', 'centralizer': '1.a1.a1', 'counter': 137, 'group_counter': 3, 'group_order': 1328, 'label': '166A45', 'order': 166, 'powers': [86, 111, 2], 'representative': 360, 'size': 1}
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id: 115164903
{'aut_label': '166A1', 'centralizer': '1.a1.a1', 'counter': 138, 'group_counter': 3, 'group_order': 1328, 'label': '166A-45', 'order': 166, 'powers': [85, 112, 2], 'representative': 968, 'size': 1}
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id: 115164904
{'aut_label': '166A1', 'centralizer': '1.a1.a1', 'counter': 139, 'group_counter': 3, 'group_order': 1328, 'label': '166A47', 'order': 166, 'powers': [82, 158, 2], 'representative': 376, 'size': 1}
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id: 115164906
{'aut_label': '166A1', 'centralizer': '1.a1.a1', 'counter': 140, 'group_counter': 3, 'group_order': 1328, 'label': '166A-47', 'order': 166, 'powers': [81, 157, 2], 'representative': 952, 'size': 1}
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id: 115164907
{'aut_label': '166A1', 'centralizer': '1.a1.a1', 'counter': 141, 'group_counter': 3, 'group_order': 1328, 'label': '166A49', 'order': 166, 'powers': [78, 109, 2], 'representative': 392, 'size': 1}
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id: 115164908
{'aut_label': '166A1', 'centralizer': '1.a1.a1', 'counter': 142, 'group_counter': 3, 'group_order': 1328, 'label': '166A-49', 'order': 166, 'powers': [77, 110, 2], 'representative': 936, 'size': 1}
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id: 115164909
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id: 115164912
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id: 115164913
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id: 115164920
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id: 115164922
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id: 115164924
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id: 115164925
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id: 115164926
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id: 115164929
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id: 115164930
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id: 115164931
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id: 115164932
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id: 115164933
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id: 115164934
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id: 115164935
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id: 115164936
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id: 115164937
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id: 115164939
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id: 115164940
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id: 115164941
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id: 115164942
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id: 115164943
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id: 115164944
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id: 115164945
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id: 115164946
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id: 115164947
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id: 115164948
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id: 115164950
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id: 115164951
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id: 115164952
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id: 115164953
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id: 115164954
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id: 115164955
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id: 115164956
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id: 115164957
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id: 115164958
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id: 115164959
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id: 115164961
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id: 115164962
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id: 115164963
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id: 115164964
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id: 115164965
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id: 115164966
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id: 115164967
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id: 115164968
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id: 115164969
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id: 115164970
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id: 115164973
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id: 115164974
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id: 115164975
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id: 115164976
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id: 115164977
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id: 115164978
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id: 115164979
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id: 115164980
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id: 115164981
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id: 115164982
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id: 115164984
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id: 115164985
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id: 115164986
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id: 115164987
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id: 115164988
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id: 115164989
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id: 115164990
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id: 115164991
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id: 115164992
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id: 115164993
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id: 115164995
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id: 115164996
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id: 115164997
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id: 115164998
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id: 115164999
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id: 115165000
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id: 115165001
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id: 115165002
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id: 115165003
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id: 115165004
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id: 115165006
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id: 115165007
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id: 115165008
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id: 115165009
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id: 115165025
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id: 115165029
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id: 115165030
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id: 115165031
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id: 115165032
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id: 115165033
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id: 115165034
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id: 115165035
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id: 115165036
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id: 115165037
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id: 115165039
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id: 115165040
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id: 115165041
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id: 115165042
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id: 115165043
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id: 115165044
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id: 115165045
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id: 115165046
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id: 115165047
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id: 115165048
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id: 115165050
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id: 115165051
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id: 115165052
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id: 115165053
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id: 115165054
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id: 115165055
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id: 115165056
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id: 115165057
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id: 115165058
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id: 115165059
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id: 115165061
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id: 115165062
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id: 115165063
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id: 115165064
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id: 115165065
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id: 115165066
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id: 115165067
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id: 115165068
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id: 115165069
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id: 115165070
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id: 115165072
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id: 115165073
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id: 115165074
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id: 115165075
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id: 115165076
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id: 115165077
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id: 115165078
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id: 115165079
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id: 115165080
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id: 115165081
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id: 115165085
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id: 115165087
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id: 115165088
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id: 115165089
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id: 115165090
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id: 115165091
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id: 115165092
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id: 115165093
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id: 115165095
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id: 115165096
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id: 115165097
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id: 115165098
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id: 115165099
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id: 115165100
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id: 115165101
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id: 115165102
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id: 115165103
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id: 115165104
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id: 115165106
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id: 115165107
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id: 115165108
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id: 115165154
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id: 115165155
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id: 115165157
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id: 115165165
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id: 115165167
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id: 115165235
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id: 115165254
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id: 115165255
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id: 115165264
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id: 115165310
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id: 115165311
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id: 115165312
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id: 115165313
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id: 115165314
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id: 115165315
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id: 115165317
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id: 115165318
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id: 115165319
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id: 115165320
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id: 115165321
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id: 115165322
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id: 115165323
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id: 115165324
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id: 115165325
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id: 115165326
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id: 115165328
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id: 115165329
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id: 115165330
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id: 115165331
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id: 115165332
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id: 115165333
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id: 115165334
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id: 115165335
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id: 115165336
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id: 115165337
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id: 115165339
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id: 115165340
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id: 115165341
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id: 115165342
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id: 115165343
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id: 115165344
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id: 115165345
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id: 115165346
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id: 115165347
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id: 115165348
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id: 115165350
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id: 115165351
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id: 115165352
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id: 115165353
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id: 115165354
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id: 115165355
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id: 115165356
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id: 115165357
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id: 115165358
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id: 115165359
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id: 115165361
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id: 115165362
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id: 115165363
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id: 115165364
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id: 115165365
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id: 115165366
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id: 115165367
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id: 115165368
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id: 115165369
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id: 115165370
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id: 115165372
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id: 115165373
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id: 115165374
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id: 115165375
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id: 115165376
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id: 115165377
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id: 115165378
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id: 115165379
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id: 115165380
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id: 115165381
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id: 115165383
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id: 115165384
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id: 115165385
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id: 115165386
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id: 115165387
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id: 115165388
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id: 115165389
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id: 115165390
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id: 115165391
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id: 115165392
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id: 115165394
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id: 115165395
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id: 115165396
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id: 115165397
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id: 115165398
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id: 115165399
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id: 115165400
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id: 115165401
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id: 115165402
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id: 115165403
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id: 115165405
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id: 115165406
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id: 115165407
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id: 115165408
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id: 115165409
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id: 115165410
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id: 115165411
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id: 115165412
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id: 115165413
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id: 115165414
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id: 115165417
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id: 115165418
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id: 115165419
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id: 115165420
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id: 115165421
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id: 115165422
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id: 115165423
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id: 115165424
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id: 115165425
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id: 115165426
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id: 115165428
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id: 115165429
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id: 115165430
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id: 115165431
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id: 115165432
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id: 115165433
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id: 115165434
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id: 115165435
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id: 115165436
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id: 115165437
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id: 115165439
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id: 115165440
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id: 115165441
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id: 115165442
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id: 115165443
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id: 115165444
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id: 115165445
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id: 115165446
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id: 115165447
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id: 115165448
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id: 115165450
{'aut_label': '332A1', 'centralizer': '2.b1.a1', 'counter': 630, 'group_counter': 3, 'group_order': 1328, 'label': '332A-129', 'order': 332, 'powers': [211, 525, 8], 'representative': 598, 'size': 2}
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id: 115165451
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id: 115165452
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id: 115165453
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id: 115165454
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id: 115165455
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id: 115165456
{'aut_label': '332A1', 'centralizer': '2.b1.a1', 'counter': 636, 'group_counter': 3, 'group_order': 1328, 'label': '332A-135', 'order': 332, 'powers': [205, 609, 7], 'representative': 498, 'size': 2}
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id: 115165457
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id: 115165458
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id: 115165459
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id: 115165461
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id: 115165462
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id: 115165463
{'aut_label': '332A1', 'centralizer': '2.b1.a1', 'counter': 642, 'group_counter': 3, 'group_order': 1328, 'label': '332A-141', 'order': 332, 'powers': [199, 638, 8], 'representative': 406, 'size': 2}
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id: 115165464
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id: 115165465
{'aut_label': '332A1', 'centralizer': '2.b1.a1', 'counter': 644, 'group_counter': 3, 'group_order': 1328, 'label': '332A-143', 'order': 332, 'powers': [197, 613, 7], 'representative': 370, 'size': 2}
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id: 115165466
{'aut_label': '332A1', 'centralizer': '2.b1.a1', 'counter': 645, 'group_counter': 3, 'group_order': 1328, 'label': '332A145', 'order': 332, 'powers': [196, 534, 7], 'representative': 994, 'size': 2}
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id: 115165467
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id: 115165468
{'aut_label': '332A1', 'centralizer': '2.b1.a1', 'counter': 647, 'group_counter': 3, 'group_order': 1328, 'label': '332A147', 'order': 332, 'powers': [194, 553, 8], 'representative': 1030, 'size': 2}
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id: 115165469
{'aut_label': '332A1', 'centralizer': '2.b1.a1', 'counter': 648, 'group_counter': 3, 'group_order': 1328, 'label': '332A-147', 'order': 332, 'powers': [193, 554, 7], 'representative': 306, 'size': 2}
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id: 115165470
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id: 115165472
{'aut_label': '332A1', 'centralizer': '2.b1.a1', 'counter': 650, 'group_counter': 3, 'group_order': 1328, 'label': '332A-149', 'order': 332, 'powers': [191, 634, 8], 'representative': 278, 'size': 2}
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id: 115165473
{'aut_label': '332A1', 'centralizer': '2.b1.a1', 'counter': 651, 'group_counter': 3, 'group_order': 1328, 'label': '332A151', 'order': 332, 'powers': [190, 618, 8], 'representative': 1094, 'size': 2}
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id: 115165474
{'aut_label': '332A1', 'centralizer': '2.b1.a1', 'counter': 652, 'group_counter': 3, 'group_order': 1328, 'label': '332A-151', 'order': 332, 'powers': [189, 617, 7], 'representative': 242, 'size': 2}
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id: 115165475
{'aut_label': '332A1', 'centralizer': '2.b1.a1', 'counter': 653, 'group_counter': 3, 'group_order': 1328, 'label': '332A153', 'order': 332, 'powers': [188, 538, 7], 'representative': 1122, 'size': 2}
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id: 115165476
{'aut_label': '332A1', 'centralizer': '2.b1.a1', 'counter': 654, 'group_counter': 3, 'group_order': 1328, 'label': '332A-153', 'order': 332, 'powers': [187, 537, 8], 'representative': 214, 'size': 2}
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id: 115165477
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id: 115165478
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id: 115165479
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id: 115165480
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id: 115165481
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id: 115165483
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id: 115165484
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id: 115165485
{'aut_label': '332A1', 'centralizer': '2.b1.a1', 'counter': 662, 'group_counter': 3, 'group_order': 1328, 'label': '332A-161', 'order': 332, 'powers': [179, 541, 8], 'representative': 86, 'size': 2}
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id: 115165486
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id: 115165487
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id: 115165488
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id: 115165489
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id: 115165490
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id: 115165491
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id: 115165492
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id: 115165494
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id: 115165495
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id: 115165496
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id: 115165497
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id: 115165498
{'aut_label': '332A1', 'centralizer': '2.b1.b1', 'counter': 674, 'group_counter': 3, 'group_order': 1328, 'label': '332B-7', 'order': 332, 'powers': [264, 711, 9], 'representative': 1219, 'size': 2}
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id: 115165499
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id: 115165500
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id: 115165501
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id: 115165502
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id: 115165503
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id: 115165505
{'aut_label': '332A1', 'centralizer': '2.b1.b1', 'counter': 680, 'group_counter': 3, 'group_order': 1328, 'label': '332B-13', 'order': 332, 'powers': [270, 795, 10], 'representative': 1127, 'size': 2}
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id: 115165506
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id: 115165507
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id: 115165508
{'aut_label': '332A1', 'centralizer': '2.b1.b1', 'counter': 683, 'group_counter': 3, 'group_order': 1328, 'label': '332B17', 'order': 332, 'powers': [273, 699, 9], 'representative': 275, 'size': 2}
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id: 115165509
{'aut_label': '332A1', 'centralizer': '2.b1.b1', 'counter': 684, 'group_counter': 3, 'group_order': 1328, 'label': '332B-17', 'order': 332, 'powers': [274, 700, 10], 'representative': 1063, 'size': 2}
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id: 115165510
{'aut_label': '332A1', 'centralizer': '2.b1.b1', 'counter': 685, 'group_counter': 3, 'group_order': 1328, 'label': '332B19', 'order': 332, 'powers': [275, 779, 10], 'representative': 311, 'size': 2}
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id: 115165511
{'aut_label': '332A1', 'centralizer': '2.b1.b1', 'counter': 686, 'group_counter': 3, 'group_order': 1328, 'label': '332B-19', 'order': 332, 'powers': [276, 780, 9], 'representative': 1027, 'size': 2}
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id: 115165512
{'aut_label': '332A1', 'centralizer': '2.b1.b1', 'counter': 687, 'group_counter': 3, 'group_order': 1328, 'label': '332B21', 'order': 332, 'powers': [277, 800, 9], 'representative': 339, 'size': 2}
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id: 115165513
{'aut_label': '332A1', 'centralizer': '2.b1.b1', 'counter': 688, 'group_counter': 3, 'group_order': 1328, 'label': '332B-21', 'order': 332, 'powers': [278, 799, 10], 'representative': 999, 'size': 2}
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id: 115165514
{'aut_label': '332A1', 'centralizer': '2.b1.b1', 'counter': 689, 'group_counter': 3, 'group_order': 1328, 'label': '332B23', 'order': 332, 'powers': [279, 720, 10], 'representative': 375, 'size': 2}
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id: 115165516
{'aut_label': '332A1', 'centralizer': '2.b1.b1', 'counter': 690, 'group_counter': 3, 'group_order': 1328, 'label': '332B-23', 'order': 332, 'powers': [280, 719, 9], 'representative': 963, 'size': 2}
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id: 115165517
{'aut_label': '332A1', 'centralizer': '2.b1.b1', 'counter': 691, 'group_counter': 3, 'group_order': 1328, 'label': '332B25', 'order': 332, 'powers': [281, 695, 9], 'representative': 403, 'size': 2}
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id: 115165518
{'aut_label': '332A1', 'centralizer': '2.b1.b1', 'counter': 692, 'group_counter': 3, 'group_order': 1328, 'label': '332B-25', 'order': 332, 'powers': [282, 696, 10], 'representative': 935, 'size': 2}
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id: 115165519
{'aut_label': '332A1', 'centralizer': '2.b1.b1', 'counter': 693, 'group_counter': 3, 'group_order': 1328, 'label': '332B27', 'order': 332, 'powers': [283, 775, 10], 'representative': 439, 'size': 2}
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id: 115165520
{'aut_label': '332A1', 'centralizer': '2.b1.b1', 'counter': 694, 'group_counter': 3, 'group_order': 1328, 'label': '332B-27', 'order': 332, 'powers': [284, 776, 9], 'representative': 899, 'size': 2}
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id: 115165521
{'aut_label': '332A1', 'centralizer': '2.b1.b1', 'counter': 695, 'group_counter': 3, 'group_order': 1328, 'label': '332B29', 'order': 332, 'powers': [285, 804, 9], 'representative': 467, 'size': 2}
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id: 115165522
{'aut_label': '332A1', 'centralizer': '2.b1.b1', 'counter': 696, 'group_counter': 3, 'group_order': 1328, 'label': '332B-29', 'order': 332, 'powers': [286, 803, 10], 'representative': 871, 'size': 2}
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id: 115165523
{'aut_label': '332A1', 'centralizer': '2.b1.b1', 'counter': 697, 'group_counter': 3, 'group_order': 1328, 'label': '332B31', 'order': 332, 'powers': [287, 724, 10], 'representative': 503, 'size': 2}
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id: 115165524
{'aut_label': '332A1', 'centralizer': '2.b1.b1', 'counter': 698, 'group_counter': 3, 'group_order': 1328, 'label': '332B-31', 'order': 332, 'powers': [288, 723, 9], 'representative': 835, 'size': 2}
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id: 115165525
{'aut_label': '332A1', 'centralizer': '2.b1.b1', 'counter': 699, 'group_counter': 3, 'group_order': 1328, 'label': '332B33', 'order': 332, 'powers': [289, 691, 9], 'representative': 531, 'size': 2}
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id: 115165528
{'aut_label': '332A1', 'centralizer': '2.b1.b1', 'counter': 700, 'group_counter': 3, 'group_order': 1328, 'label': '332B-33', 'order': 332, 'powers': [290, 692, 10], 'representative': 807, 'size': 2}
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id: 115165529
{'aut_label': '332A1', 'centralizer': '2.b1.b1', 'counter': 701, 'group_counter': 3, 'group_order': 1328, 'label': '332B35', 'order': 332, 'powers': [291, 771, 10], 'representative': 567, 'size': 2}
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id: 115165530
{'aut_label': '332A1', 'centralizer': '2.b1.b1', 'counter': 702, 'group_counter': 3, 'group_order': 1328, 'label': '332B-35', 'order': 332, 'powers': [292, 772, 9], 'representative': 771, 'size': 2}
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id: 115165531
{'aut_label': '332A1', 'centralizer': '2.b1.b1', 'counter': 703, 'group_counter': 3, 'group_order': 1328, 'label': '332B37', 'order': 332, 'powers': [293, 808, 9], 'representative': 595, 'size': 2}
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id: 115165532
{'aut_label': '332A1', 'centralizer': '2.b1.b1', 'counter': 704, 'group_counter': 3, 'group_order': 1328, 'label': '332B-37', 'order': 332, 'powers': [294, 807, 10], 'representative': 743, 'size': 2}
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id: 115165533
{'aut_label': '332A1', 'centralizer': '2.b1.b1', 'counter': 705, 'group_counter': 3, 'group_order': 1328, 'label': '332B39', 'order': 332, 'powers': [295, 728, 10], 'representative': 631, 'size': 2}
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id: 115165534
{'aut_label': '332A1', 'centralizer': '2.b1.b1', 'counter': 706, 'group_counter': 3, 'group_order': 1328, 'label': '332B-39', 'order': 332, 'powers': [296, 727, 9], 'representative': 707, 'size': 2}
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id: 115165535
{'aut_label': '332A1', 'centralizer': '2.b1.b1', 'counter': 707, 'group_counter': 3, 'group_order': 1328, 'label': '332B41', 'order': 332, 'powers': [297, 687, 9], 'representative': 659, 'size': 2}
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id: 115165536
{'aut_label': '332A1', 'centralizer': '2.b1.b1', 'counter': 708, 'group_counter': 3, 'group_order': 1328, 'label': '332B-41', 'order': 332, 'powers': [298, 688, 10], 'representative': 15, 'size': 2}
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id: 115165537
{'aut_label': '332A1', 'centralizer': '2.b1.b1', 'counter': 709, 'group_counter': 3, 'group_order': 1328, 'label': '332B43', 'order': 332, 'powers': [299, 767, 10], 'representative': 695, 'size': 2}
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id: 115165539
{'aut_label': '332A1', 'centralizer': '2.b1.b1', 'counter': 710, 'group_counter': 3, 'group_order': 1328, 'label': '332B-43', 'order': 332, 'powers': [300, 768, 9], 'representative': 643, 'size': 2}
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id: 115165540
{'aut_label': '332A1', 'centralizer': '2.b1.b1', 'counter': 711, 'group_counter': 3, 'group_order': 1328, 'label': '332B45', 'order': 332, 'powers': [301, 812, 9], 'representative': 723, 'size': 2}
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id: 115165541
{'aut_label': '332A1', 'centralizer': '2.b1.b1', 'counter': 712, 'group_counter': 3, 'group_order': 1328, 'label': '332B-45', 'order': 332, 'powers': [302, 811, 10], 'representative': 615, 'size': 2}
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id: 115165542
{'aut_label': '332A1', 'centralizer': '2.b1.b1', 'counter': 713, 'group_counter': 3, 'group_order': 1328, 'label': '332B47', 'order': 332, 'powers': [303, 732, 10], 'representative': 759, 'size': 2}
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id: 115165543
{'aut_label': '332A1', 'centralizer': '2.b1.b1', 'counter': 714, 'group_counter': 3, 'group_order': 1328, 'label': '332B-47', 'order': 332, 'powers': [304, 731, 9], 'representative': 579, 'size': 2}
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id: 115165544
{'aut_label': '332A1', 'centralizer': '2.b1.b1', 'counter': 715, 'group_counter': 3, 'group_order': 1328, 'label': '332B49', 'order': 332, 'powers': [305, 683, 9], 'representative': 787, 'size': 2}
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id: 115165545
{'aut_label': '332A1', 'centralizer': '2.b1.b1', 'counter': 716, 'group_counter': 3, 'group_order': 1328, 'label': '332B-49', 'order': 332, 'powers': [306, 684, 10], 'representative': 551, 'size': 2}
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id: 115165546
{'aut_label': '332A1', 'centralizer': '2.b1.b1', 'counter': 717, 'group_counter': 3, 'group_order': 1328, 'label': '332B51', 'order': 332, 'powers': [307, 763, 10], 'representative': 823, 'size': 2}
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id: 115165547
{'aut_label': '332A1', 'centralizer': '2.b1.b1', 'counter': 718, 'group_counter': 3, 'group_order': 1328, 'label': '332B-51', 'order': 332, 'powers': [308, 764, 9], 'representative': 515, 'size': 2}
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id: 115165548
{'aut_label': '332A1', 'centralizer': '2.b1.b1', 'counter': 719, 'group_counter': 3, 'group_order': 1328, 'label': '332B53', 'order': 332, 'powers': [309, 816, 9], 'representative': 851, 'size': 2}
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id: 115165550
{'aut_label': '332A1', 'centralizer': '2.b1.b1', 'counter': 720, 'group_counter': 3, 'group_order': 1328, 'label': '332B-53', 'order': 332, 'powers': [310, 815, 10], 'representative': 487, 'size': 2}
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id: 115165551
{'aut_label': '332A1', 'centralizer': '2.b1.b1', 'counter': 721, 'group_counter': 3, 'group_order': 1328, 'label': '332B55', 'order': 332, 'powers': [311, 736, 10], 'representative': 887, 'size': 2}
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id: 115165552
{'aut_label': '332A1', 'centralizer': '2.b1.b1', 'counter': 722, 'group_counter': 3, 'group_order': 1328, 'label': '332B-55', 'order': 332, 'powers': [312, 735, 9], 'representative': 451, 'size': 2}
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id: 115165553
{'aut_label': '332A1', 'centralizer': '2.b1.b1', 'counter': 723, 'group_counter': 3, 'group_order': 1328, 'label': '332B57', 'order': 332, 'powers': [313, 679, 9], 'representative': 915, 'size': 2}
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id: 115165554
{'aut_label': '332A1', 'centralizer': '2.b1.b1', 'counter': 724, 'group_counter': 3, 'group_order': 1328, 'label': '332B-57', 'order': 332, 'powers': [314, 680, 10], 'representative': 423, 'size': 2}
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id: 115165555
{'aut_label': '332A1', 'centralizer': '2.b1.b1', 'counter': 725, 'group_counter': 3, 'group_order': 1328, 'label': '332B59', 'order': 332, 'powers': [315, 759, 10], 'representative': 951, 'size': 2}
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id: 115165556
{'aut_label': '332A1', 'centralizer': '2.b1.b1', 'counter': 726, 'group_counter': 3, 'group_order': 1328, 'label': '332B-59', 'order': 332, 'powers': [316, 760, 9], 'representative': 387, 'size': 2}
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id: 115165557
{'aut_label': '332A1', 'centralizer': '2.b1.b1', 'counter': 727, 'group_counter': 3, 'group_order': 1328, 'label': '332B61', 'order': 332, 'powers': [317, 820, 9], 'representative': 979, 'size': 2}
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id: 115165558
{'aut_label': '332A1', 'centralizer': '2.b1.b1', 'counter': 728, 'group_counter': 3, 'group_order': 1328, 'label': '332B-61', 'order': 332, 'powers': [318, 819, 10], 'representative': 359, 'size': 2}
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id: 115165559
{'aut_label': '332A1', 'centralizer': '2.b1.b1', 'counter': 729, 'group_counter': 3, 'group_order': 1328, 'label': '332B63', 'order': 332, 'powers': [319, 740, 10], 'representative': 1015, 'size': 2}
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id: 115165561
{'aut_label': '332A1', 'centralizer': '2.b1.b1', 'counter': 730, 'group_counter': 3, 'group_order': 1328, 'label': '332B-63', 'order': 332, 'powers': [320, 739, 9], 'representative': 323, 'size': 2}
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id: 115165562
{'aut_label': '332A1', 'centralizer': '2.b1.b1', 'counter': 731, 'group_counter': 3, 'group_order': 1328, 'label': '332B65', 'order': 332, 'powers': [321, 675, 9], 'representative': 1043, 'size': 2}
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id: 115165563
{'aut_label': '332A1', 'centralizer': '2.b1.b1', 'counter': 732, 'group_counter': 3, 'group_order': 1328, 'label': '332B-65', 'order': 332, 'powers': [322, 676, 10], 'representative': 295, 'size': 2}
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id: 115165564
{'aut_label': '332A1', 'centralizer': '2.b1.b1', 'counter': 733, 'group_counter': 3, 'group_order': 1328, 'label': '332B67', 'order': 332, 'powers': [323, 755, 10], 'representative': 1079, 'size': 2}
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id: 115165565
{'aut_label': '332A1', 'centralizer': '2.b1.b1', 'counter': 734, 'group_counter': 3, 'group_order': 1328, 'label': '332B-67', 'order': 332, 'powers': [324, 756, 9], 'representative': 259, 'size': 2}
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id: 115165566
{'aut_label': '332A1', 'centralizer': '2.b1.b1', 'counter': 735, 'group_counter': 3, 'group_order': 1328, 'label': '332B69', 'order': 332, 'powers': [325, 824, 9], 'representative': 1107, 'size': 2}
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id: 115165567
{'aut_label': '332A1', 'centralizer': '2.b1.b1', 'counter': 736, 'group_counter': 3, 'group_order': 1328, 'label': '332B-69', 'order': 332, 'powers': [326, 823, 10], 'representative': 231, 'size': 2}
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id: 115165568
{'aut_label': '332A1', 'centralizer': '2.b1.b1', 'counter': 737, 'group_counter': 3, 'group_order': 1328, 'label': '332B71', 'order': 332, 'powers': [327, 744, 10], 'representative': 1143, 'size': 2}
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id: 115165569
{'aut_label': '332A1', 'centralizer': '2.b1.b1', 'counter': 738, 'group_counter': 3, 'group_order': 1328, 'label': '332B-71', 'order': 332, 'powers': [328, 743, 9], 'representative': 195, 'size': 2}
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id: 115165570
{'aut_label': '332A1', 'centralizer': '2.b1.b1', 'counter': 739, 'group_counter': 3, 'group_order': 1328, 'label': '332B73', 'order': 332, 'powers': [329, 671, 9], 'representative': 1171, 'size': 2}
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id: 115165572
{'aut_label': '332A1', 'centralizer': '2.b1.b1', 'counter': 740, 'group_counter': 3, 'group_order': 1328, 'label': '332B-73', 'order': 332, 'powers': [330, 672, 10], 'representative': 167, 'size': 2}
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id: 115165573
{'aut_label': '332A1', 'centralizer': '2.b1.b1', 'counter': 741, 'group_counter': 3, 'group_order': 1328, 'label': '332B75', 'order': 332, 'powers': [331, 751, 10], 'representative': 1207, 'size': 2}
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id: 115165574
{'aut_label': '332A1', 'centralizer': '2.b1.b1', 'counter': 742, 'group_counter': 3, 'group_order': 1328, 'label': '332B-75', 'order': 332, 'powers': [332, 752, 9], 'representative': 131, 'size': 2}
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id: 115165575
{'aut_label': '332A1', 'centralizer': '2.b1.b1', 'counter': 743, 'group_counter': 3, 'group_order': 1328, 'label': '332B77', 'order': 332, 'powers': [333, 828, 9], 'representative': 1235, 'size': 2}
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id: 115165576
{'aut_label': '332A1', 'centralizer': '2.b1.b1', 'counter': 744, 'group_counter': 3, 'group_order': 1328, 'label': '332B-77', 'order': 332, 'powers': [334, 827, 10], 'representative': 103, 'size': 2}
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id: 115165577
{'aut_label': '332A1', 'centralizer': '2.b1.b1', 'counter': 745, 'group_counter': 3, 'group_order': 1328, 'label': '332B79', 'order': 332, 'powers': [335, 748, 10], 'representative': 1271, 'size': 2}
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id: 115165578
{'aut_label': '332A1', 'centralizer': '2.b1.b1', 'counter': 746, 'group_counter': 3, 'group_order': 1328, 'label': '332B-79', 'order': 332, 'powers': [336, 747, 9], 'representative': 67, 'size': 2}
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id: 115165579
{'aut_label': '332A1', 'centralizer': '2.b1.b1', 'counter': 747, 'group_counter': 3, 'group_order': 1328, 'label': '332B81', 'order': 332, 'powers': [337, 667, 9], 'representative': 1299, 'size': 2}
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id: 115165580
{'aut_label': '332A1', 'centralizer': '2.b1.b1', 'counter': 748, 'group_counter': 3, 'group_order': 1328, 'label': '332B-81', 'order': 332, 'powers': [338, 668, 10], 'representative': 39, 'size': 2}
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id: 115165581
{'aut_label': '332A1', 'centralizer': '2.b1.b1', 'counter': 749, 'group_counter': 3, 'group_order': 1328, 'label': '332B85', 'order': 332, 'powers': [338, 829, 9], 'representative': 35, 'size': 2}
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id: 115165583
{'aut_label': '332A1', 'centralizer': '2.b1.b1', 'counter': 750, 'group_counter': 3, 'group_order': 1328, 'label': '332B-85', 'order': 332, 'powers': [337, 830, 10], 'representative': 1303, 'size': 2}
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id: 115165584
{'aut_label': '332A1', 'centralizer': '2.b1.b1', 'counter': 751, 'group_counter': 3, 'group_order': 1328, 'label': '332B87', 'order': 332, 'powers': [336, 750, 10], 'representative': 71, 'size': 2}
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id: 115165585
{'aut_label': '332A1', 'centralizer': '2.b1.b1', 'counter': 752, 'group_counter': 3, 'group_order': 1328, 'label': '332B-87', 'order': 332, 'powers': [335, 749, 9], 'representative': 1267, 'size': 2}
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id: 115165586
{'aut_label': '332A1', 'centralizer': '2.b1.b1', 'counter': 753, 'group_counter': 3, 'group_order': 1328, 'label': '332B89', 'order': 332, 'powers': [334, 670, 9], 'representative': 99, 'size': 2}
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id: 115165587
{'aut_label': '332A1', 'centralizer': '2.b1.b1', 'counter': 754, 'group_counter': 3, 'group_order': 1328, 'label': '332B-89', 'order': 332, 'powers': [333, 669, 10], 'representative': 1239, 'size': 2}
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id: 115165588
{'aut_label': '332A1', 'centralizer': '2.b1.b1', 'counter': 755, 'group_counter': 3, 'group_order': 1328, 'label': '332B91', 'order': 332, 'powers': [332, 745, 10], 'representative': 135, 'size': 2}
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id: 115165589
{'aut_label': '332A1', 'centralizer': '2.b1.b1', 'counter': 756, 'group_counter': 3, 'group_order': 1328, 'label': '332B-91', 'order': 332, 'powers': [331, 746, 9], 'representative': 1203, 'size': 2}
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id: 115165590
{'aut_label': '332A1', 'centralizer': '2.b1.b1', 'counter': 757, 'group_counter': 3, 'group_order': 1328, 'label': '332B93', 'order': 332, 'powers': [330, 825, 9], 'representative': 163, 'size': 2}
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id: 115165591
{'aut_label': '332A1', 'centralizer': '2.b1.b1', 'counter': 758, 'group_counter': 3, 'group_order': 1328, 'label': '332B-93', 'order': 332, 'powers': [329, 826, 10], 'representative': 1175, 'size': 2}
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id: 115165592
{'aut_label': '332A1', 'centralizer': '2.b1.b1', 'counter': 759, 'group_counter': 3, 'group_order': 1328, 'label': '332B95', 'order': 332, 'powers': [328, 754, 10], 'representative': 199, 'size': 2}
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id: 115165594
{'aut_label': '332A1', 'centralizer': '2.b1.b1', 'counter': 760, 'group_counter': 3, 'group_order': 1328, 'label': '332B-95', 'order': 332, 'powers': [327, 753, 9], 'representative': 1139, 'size': 2}
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id: 115165595
{'aut_label': '332A1', 'centralizer': '2.b1.b1', 'counter': 761, 'group_counter': 3, 'group_order': 1328, 'label': '332B97', 'order': 332, 'powers': [326, 674, 9], 'representative': 227, 'size': 2}
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id: 115165596
{'aut_label': '332A1', 'centralizer': '2.b1.b1', 'counter': 762, 'group_counter': 3, 'group_order': 1328, 'label': '332B-97', 'order': 332, 'powers': [325, 673, 10], 'representative': 1111, 'size': 2}
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id: 115165597
{'aut_label': '332A1', 'centralizer': '2.b1.b1', 'counter': 763, 'group_counter': 3, 'group_order': 1328, 'label': '332B99', 'order': 332, 'powers': [324, 741, 10], 'representative': 263, 'size': 2}
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id: 115165598
{'aut_label': '332A1', 'centralizer': '2.b1.b1', 'counter': 764, 'group_counter': 3, 'group_order': 1328, 'label': '332B-99', 'order': 332, 'powers': [323, 742, 9], 'representative': 1075, 'size': 2}
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id: 115165599
{'aut_label': '332A1', 'centralizer': '2.b1.b1', 'counter': 765, 'group_counter': 3, 'group_order': 1328, 'label': '332B101', 'order': 332, 'powers': [322, 821, 9], 'representative': 291, 'size': 2}
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id: 115165600
{'aut_label': '332A1', 'centralizer': '2.b1.b1', 'counter': 766, 'group_counter': 3, 'group_order': 1328, 'label': '332B-101', 'order': 332, 'powers': [321, 822, 10], 'representative': 1047, 'size': 2}
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id: 115165601
{'aut_label': '332A1', 'centralizer': '2.b1.b1', 'counter': 767, 'group_counter': 3, 'group_order': 1328, 'label': '332B103', 'order': 332, 'powers': [320, 758, 10], 'representative': 327, 'size': 2}
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id: 115165602
{'aut_label': '332A1', 'centralizer': '2.b1.b1', 'counter': 768, 'group_counter': 3, 'group_order': 1328, 'label': '332B-103', 'order': 332, 'powers': [319, 757, 9], 'representative': 1011, 'size': 2}
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id: 115165603
{'aut_label': '332A1', 'centralizer': '2.b1.b1', 'counter': 769, 'group_counter': 3, 'group_order': 1328, 'label': '332B105', 'order': 332, 'powers': [318, 678, 9], 'representative': 355, 'size': 2}
-
id: 115165605
{'aut_label': '332A1', 'centralizer': '2.b1.b1', 'counter': 770, 'group_counter': 3, 'group_order': 1328, 'label': '332B-105', 'order': 332, 'powers': [317, 677, 10], 'representative': 983, 'size': 2}
-
id: 115165606
{'aut_label': '332A1', 'centralizer': '2.b1.b1', 'counter': 771, 'group_counter': 3, 'group_order': 1328, 'label': '332B107', 'order': 332, 'powers': [316, 737, 10], 'representative': 391, 'size': 2}
-
id: 115165607
{'aut_label': '332A1', 'centralizer': '2.b1.b1', 'counter': 772, 'group_counter': 3, 'group_order': 1328, 'label': '332B-107', 'order': 332, 'powers': [315, 738, 9], 'representative': 947, 'size': 2}
-
id: 115165608
{'aut_label': '332A1', 'centralizer': '2.b1.b1', 'counter': 773, 'group_counter': 3, 'group_order': 1328, 'label': '332B109', 'order': 332, 'powers': [314, 817, 9], 'representative': 419, 'size': 2}
-
id: 115165609
{'aut_label': '332A1', 'centralizer': '2.b1.b1', 'counter': 774, 'group_counter': 3, 'group_order': 1328, 'label': '332B-109', 'order': 332, 'powers': [313, 818, 10], 'representative': 919, 'size': 2}
-
id: 115165610
{'aut_label': '332A1', 'centralizer': '2.b1.b1', 'counter': 775, 'group_counter': 3, 'group_order': 1328, 'label': '332B111', 'order': 332, 'powers': [312, 762, 10], 'representative': 455, 'size': 2}
-
id: 115165611
{'aut_label': '332A1', 'centralizer': '2.b1.b1', 'counter': 776, 'group_counter': 3, 'group_order': 1328, 'label': '332B-111', 'order': 332, 'powers': [311, 761, 9], 'representative': 883, 'size': 2}
-
id: 115165612
{'aut_label': '332A1', 'centralizer': '2.b1.b1', 'counter': 777, 'group_counter': 3, 'group_order': 1328, 'label': '332B113', 'order': 332, 'powers': [310, 682, 9], 'representative': 483, 'size': 2}
-
id: 115165613
{'aut_label': '332A1', 'centralizer': '2.b1.b1', 'counter': 778, 'group_counter': 3, 'group_order': 1328, 'label': '332B-113', 'order': 332, 'powers': [309, 681, 10], 'representative': 855, 'size': 2}
-
id: 115165614
{'aut_label': '332A1', 'centralizer': '2.b1.b1', 'counter': 779, 'group_counter': 3, 'group_order': 1328, 'label': '332B115', 'order': 332, 'powers': [308, 733, 10], 'representative': 519, 'size': 2}
-
id: 115165616
{'aut_label': '332A1', 'centralizer': '2.b1.b1', 'counter': 780, 'group_counter': 3, 'group_order': 1328, 'label': '332B-115', 'order': 332, 'powers': [307, 734, 9], 'representative': 819, 'size': 2}
-
id: 115165617
{'aut_label': '332A1', 'centralizer': '2.b1.b1', 'counter': 781, 'group_counter': 3, 'group_order': 1328, 'label': '332B117', 'order': 332, 'powers': [306, 813, 9], 'representative': 547, 'size': 2}
-
id: 115165618
{'aut_label': '332A1', 'centralizer': '2.b1.b1', 'counter': 782, 'group_counter': 3, 'group_order': 1328, 'label': '332B-117', 'order': 332, 'powers': [305, 814, 10], 'representative': 791, 'size': 2}
-
id: 115165619
{'aut_label': '332A1', 'centralizer': '2.b1.b1', 'counter': 783, 'group_counter': 3, 'group_order': 1328, 'label': '332B119', 'order': 332, 'powers': [304, 766, 10], 'representative': 583, 'size': 2}
-
id: 115165620
{'aut_label': '332A1', 'centralizer': '2.b1.b1', 'counter': 784, 'group_counter': 3, 'group_order': 1328, 'label': '332B-119', 'order': 332, 'powers': [303, 765, 9], 'representative': 755, 'size': 2}
-
id: 115165621
{'aut_label': '332A1', 'centralizer': '2.b1.b1', 'counter': 785, 'group_counter': 3, 'group_order': 1328, 'label': '332B121', 'order': 332, 'powers': [302, 686, 9], 'representative': 611, 'size': 2}
-
id: 115165622
{'aut_label': '332A1', 'centralizer': '2.b1.b1', 'counter': 786, 'group_counter': 3, 'group_order': 1328, 'label': '332B-121', 'order': 332, 'powers': [301, 685, 10], 'representative': 727, 'size': 2}
-
id: 115165623
{'aut_label': '332A1', 'centralizer': '2.b1.b1', 'counter': 787, 'group_counter': 3, 'group_order': 1328, 'label': '332B123', 'order': 332, 'powers': [300, 729, 10], 'representative': 647, 'size': 2}
-
id: 115165624
{'aut_label': '332A1', 'centralizer': '2.b1.b1', 'counter': 788, 'group_counter': 3, 'group_order': 1328, 'label': '332B-123', 'order': 332, 'powers': [299, 730, 9], 'representative': 691, 'size': 2}
-
id: 115165625
{'aut_label': '332A1', 'centralizer': '2.b1.b1', 'counter': 789, 'group_counter': 3, 'group_order': 1328, 'label': '332B125', 'order': 332, 'powers': [298, 809, 9], 'representative': 11, 'size': 2}
-
id: 115165627
{'aut_label': '332A1', 'centralizer': '2.b1.b1', 'counter': 790, 'group_counter': 3, 'group_order': 1328, 'label': '332B-125', 'order': 332, 'powers': [297, 810, 10], 'representative': 663, 'size': 2}
-
id: 115165628
{'aut_label': '332A1', 'centralizer': '2.b1.b1', 'counter': 791, 'group_counter': 3, 'group_order': 1328, 'label': '332B127', 'order': 332, 'powers': [296, 770, 10], 'representative': 711, 'size': 2}
-
id: 115165629
{'aut_label': '332A1', 'centralizer': '2.b1.b1', 'counter': 792, 'group_counter': 3, 'group_order': 1328, 'label': '332B-127', 'order': 332, 'powers': [295, 769, 9], 'representative': 627, 'size': 2}
-
id: 115165630
{'aut_label': '332A1', 'centralizer': '2.b1.b1', 'counter': 793, 'group_counter': 3, 'group_order': 1328, 'label': '332B129', 'order': 332, 'powers': [294, 690, 9], 'representative': 739, 'size': 2}
-
id: 115165631
{'aut_label': '332A1', 'centralizer': '2.b1.b1', 'counter': 794, 'group_counter': 3, 'group_order': 1328, 'label': '332B-129', 'order': 332, 'powers': [293, 689, 10], 'representative': 599, 'size': 2}
-
id: 115165632
{'aut_label': '332A1', 'centralizer': '2.b1.b1', 'counter': 795, 'group_counter': 3, 'group_order': 1328, 'label': '332B131', 'order': 332, 'powers': [292, 725, 10], 'representative': 775, 'size': 2}
-
id: 115165633
{'aut_label': '332A1', 'centralizer': '2.b1.b1', 'counter': 796, 'group_counter': 3, 'group_order': 1328, 'label': '332B-131', 'order': 332, 'powers': [291, 726, 9], 'representative': 563, 'size': 2}
-
id: 115165634
{'aut_label': '332A1', 'centralizer': '2.b1.b1', 'counter': 797, 'group_counter': 3, 'group_order': 1328, 'label': '332B133', 'order': 332, 'powers': [290, 805, 9], 'representative': 803, 'size': 2}
-
id: 115165635
{'aut_label': '332A1', 'centralizer': '2.b1.b1', 'counter': 798, 'group_counter': 3, 'group_order': 1328, 'label': '332B-133', 'order': 332, 'powers': [289, 806, 10], 'representative': 535, 'size': 2}
-
id: 115165636
{'aut_label': '332A1', 'centralizer': '2.b1.b1', 'counter': 799, 'group_counter': 3, 'group_order': 1328, 'label': '332B135', 'order': 332, 'powers': [288, 774, 10], 'representative': 839, 'size': 2}
-
id: 115165639
{'aut_label': '332A1', 'centralizer': '2.b1.b1', 'counter': 800, 'group_counter': 3, 'group_order': 1328, 'label': '332B-135', 'order': 332, 'powers': [287, 773, 9], 'representative': 499, 'size': 2}
-
id: 115165640
{'aut_label': '332A1', 'centralizer': '2.b1.b1', 'counter': 801, 'group_counter': 3, 'group_order': 1328, 'label': '332B137', 'order': 332, 'powers': [286, 694, 9], 'representative': 867, 'size': 2}
-
id: 115165641
{'aut_label': '332A1', 'centralizer': '2.b1.b1', 'counter': 802, 'group_counter': 3, 'group_order': 1328, 'label': '332B-137', 'order': 332, 'powers': [285, 693, 10], 'representative': 471, 'size': 2}
-
id: 115165642
{'aut_label': '332A1', 'centralizer': '2.b1.b1', 'counter': 803, 'group_counter': 3, 'group_order': 1328, 'label': '332B139', 'order': 332, 'powers': [284, 721, 10], 'representative': 903, 'size': 2}
-
id: 115165643
{'aut_label': '332A1', 'centralizer': '2.b1.b1', 'counter': 804, 'group_counter': 3, 'group_order': 1328, 'label': '332B-139', 'order': 332, 'powers': [283, 722, 9], 'representative': 435, 'size': 2}
-
id: 115165644
{'aut_label': '332A1', 'centralizer': '2.b1.b1', 'counter': 805, 'group_counter': 3, 'group_order': 1328, 'label': '332B141', 'order': 332, 'powers': [282, 801, 9], 'representative': 931, 'size': 2}
-
id: 115165645
{'aut_label': '332A1', 'centralizer': '2.b1.b1', 'counter': 806, 'group_counter': 3, 'group_order': 1328, 'label': '332B-141', 'order': 332, 'powers': [281, 802, 10], 'representative': 407, 'size': 2}
-
id: 115165646
{'aut_label': '332A1', 'centralizer': '2.b1.b1', 'counter': 807, 'group_counter': 3, 'group_order': 1328, 'label': '332B143', 'order': 332, 'powers': [280, 778, 10], 'representative': 967, 'size': 2}
-
id: 115165647
{'aut_label': '332A1', 'centralizer': '2.b1.b1', 'counter': 808, 'group_counter': 3, 'group_order': 1328, 'label': '332B-143', 'order': 332, 'powers': [279, 777, 9], 'representative': 371, 'size': 2}
-
id: 115165648
{'aut_label': '332A1', 'centralizer': '2.b1.b1', 'counter': 809, 'group_counter': 3, 'group_order': 1328, 'label': '332B145', 'order': 332, 'powers': [278, 698, 9], 'representative': 995, 'size': 2}
-
id: 115165650
{'aut_label': '332A1', 'centralizer': '2.b1.b1', 'counter': 810, 'group_counter': 3, 'group_order': 1328, 'label': '332B-145', 'order': 332, 'powers': [277, 697, 10], 'representative': 343, 'size': 2}
-
id: 115165651
{'aut_label': '332A1', 'centralizer': '2.b1.b1', 'counter': 811, 'group_counter': 3, 'group_order': 1328, 'label': '332B147', 'order': 332, 'powers': [276, 717, 10], 'representative': 1031, 'size': 2}
-
id: 115165652
{'aut_label': '332A1', 'centralizer': '2.b1.b1', 'counter': 812, 'group_counter': 3, 'group_order': 1328, 'label': '332B-147', 'order': 332, 'powers': [275, 718, 9], 'representative': 307, 'size': 2}
-
id: 115165653
{'aut_label': '332A1', 'centralizer': '2.b1.b1', 'counter': 813, 'group_counter': 3, 'group_order': 1328, 'label': '332B149', 'order': 332, 'powers': [274, 797, 9], 'representative': 1059, 'size': 2}
-
id: 115165654
{'aut_label': '332A1', 'centralizer': '2.b1.b1', 'counter': 814, 'group_counter': 3, 'group_order': 1328, 'label': '332B-149', 'order': 332, 'powers': [273, 798, 10], 'representative': 279, 'size': 2}
-
id: 115165655
{'aut_label': '332A1', 'centralizer': '2.b1.b1', 'counter': 815, 'group_counter': 3, 'group_order': 1328, 'label': '332B151', 'order': 332, 'powers': [272, 782, 10], 'representative': 1095, 'size': 2}
-
id: 115165656
{'aut_label': '332A1', 'centralizer': '2.b1.b1', 'counter': 816, 'group_counter': 3, 'group_order': 1328, 'label': '332B-151', 'order': 332, 'powers': [271, 781, 9], 'representative': 243, 'size': 2}
-
id: 115165657
{'aut_label': '332A1', 'centralizer': '2.b1.b1', 'counter': 817, 'group_counter': 3, 'group_order': 1328, 'label': '332B153', 'order': 332, 'powers': [270, 702, 9], 'representative': 1123, 'size': 2}
-
id: 115165658
{'aut_label': '332A1', 'centralizer': '2.b1.b1', 'counter': 818, 'group_counter': 3, 'group_order': 1328, 'label': '332B-153', 'order': 332, 'powers': [269, 701, 10], 'representative': 215, 'size': 2}
-
id: 115165659
{'aut_label': '332A1', 'centralizer': '2.b1.b1', 'counter': 819, 'group_counter': 3, 'group_order': 1328, 'label': '332B155', 'order': 332, 'powers': [268, 713, 10], 'representative': 1159, 'size': 2}
-
id: 115165661
{'aut_label': '332A1', 'centralizer': '2.b1.b1', 'counter': 820, 'group_counter': 3, 'group_order': 1328, 'label': '332B-155', 'order': 332, 'powers': [267, 714, 9], 'representative': 179, 'size': 2}
-
id: 115165662
{'aut_label': '332A1', 'centralizer': '2.b1.b1', 'counter': 821, 'group_counter': 3, 'group_order': 1328, 'label': '332B157', 'order': 332, 'powers': [266, 793, 9], 'representative': 1187, 'size': 2}
-
id: 115165663
{'aut_label': '332A1', 'centralizer': '2.b1.b1', 'counter': 822, 'group_counter': 3, 'group_order': 1328, 'label': '332B-157', 'order': 332, 'powers': [265, 794, 10], 'representative': 151, 'size': 2}
-
id: 115165664
{'aut_label': '332A1', 'centralizer': '2.b1.b1', 'counter': 823, 'group_counter': 3, 'group_order': 1328, 'label': '332B159', 'order': 332, 'powers': [264, 786, 10], 'representative': 1223, 'size': 2}
-
id: 115165665
{'aut_label': '332A1', 'centralizer': '2.b1.b1', 'counter': 824, 'group_counter': 3, 'group_order': 1328, 'label': '332B-159', 'order': 332, 'powers': [263, 785, 9], 'representative': 115, 'size': 2}
-
id: 115165666
{'aut_label': '332A1', 'centralizer': '2.b1.b1', 'counter': 825, 'group_counter': 3, 'group_order': 1328, 'label': '332B161', 'order': 332, 'powers': [262, 706, 9], 'representative': 1251, 'size': 2}
-
id: 115165667
{'aut_label': '332A1', 'centralizer': '2.b1.b1', 'counter': 826, 'group_counter': 3, 'group_order': 1328, 'label': '332B-161', 'order': 332, 'powers': [261, 705, 10], 'representative': 87, 'size': 2}
-
id: 115165668
{'aut_label': '332A1', 'centralizer': '2.b1.b1', 'counter': 827, 'group_counter': 3, 'group_order': 1328, 'label': '332B163', 'order': 332, 'powers': [260, 709, 10], 'representative': 1287, 'size': 2}
-
id: 115165669
{'aut_label': '332A1', 'centralizer': '2.b1.b1', 'counter': 828, 'group_counter': 3, 'group_order': 1328, 'label': '332B-163', 'order': 332, 'powers': [259, 710, 9], 'representative': 51, 'size': 2}
-
id: 115165670
{'aut_label': '332A1', 'centralizer': '2.b1.b1', 'counter': 829, 'group_counter': 3, 'group_order': 1328, 'label': '332B165', 'order': 332, 'powers': [258, 789, 9], 'representative': 1315, 'size': 2}
-
id: 115165672
{'aut_label': '332A1', 'centralizer': '2.b1.b1', 'counter': 830, 'group_counter': 3, 'group_order': 1328, 'label': '332B-165', 'order': 332, 'powers': [257, 790, 10], 'representative': 23, 'size': 2}
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gps_qchar • Show schema
Hide schema
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id: 5539929
{'cdim': 1, 'counter': 1, 'faithful': False, 'group': '1328.3', 'group_order': 1328, 'image': None, 'label': '1328.3.1a', 'multiplicity': 1, 'nt': [1, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
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id: 5539937
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{'cdim': 2, 'counter': 15, 'faithful': False, 'group': '1328.3', 'group_order': 1328, 'image': None, 'label': '1328.3.2c', 'multiplicity': 82, 'nt': [332, 0], 'qdim': 164, 'qvalues': [164, -164, -164, 164, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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], 'schur_index': 1}
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id: 5539936
{'cdim': 2, 'counter': 16, 'faithful': False, 'group': '1328.3', 'group_order': 1328, 'image': None, 'label': '1328.3.2d', 'multiplicity': 82, 'nt': [332, 0], 'qdim': 164, 'qvalues': [164, -164, 164, -164, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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], 'schur_index': 1}
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group 1328.3 does not appear in gps_char
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gps_subgroup_search • Show schema
Hide schema
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id: 71272354
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1328.3', 'ambient_counter': 3, 'ambient_order': 1328, 'ambient_tex': 'C_2^2:C_{332}', 'central': False, 'central_factor': False, 'centralizer_order': 332, 'characteristic': True, 'core_order': 1328, 'counter': 1, 'cyclic': False, 'direct': True, 'hall': 166, 'label': '1328.3.1.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': False, 'quotient': '1.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 1, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_1', 'simple': False, 'solvable': True, 'special_labels': ['F', 'R', 'U0', 'L0', 'D0', 'C0'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '1328.3', 'subgroup_hash': 3, 'subgroup_order': 1328, 'subgroup_tex': 'C_2^2:C_{332}', 'supersolvable': True, 'sylow': 0}
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id: 71272365
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1328.3', 'ambient_counter': 3, 'ambient_order': 1328, 'ambient_tex': 'C_2^2:C_{332}', 'central': False, 'central_factor': False, 'centralizer_order': 664, 'characteristic': True, 'core_order': 664, 'counter': 2, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1328.3.2.a1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': ['C1'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '664.12', 'subgroup_hash': 12, 'subgroup_order': 664, 'subgroup_tex': 'C_2^2\\times C_{166}', 'supersolvable': True, 'sylow': 0}
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id: 71272376
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1328.3', 'ambient_counter': 3, 'ambient_order': 1328, 'ambient_tex': 'C_2^2:C_{332}', 'central': False, 'central_factor': False, 'centralizer_order': 664, 'characteristic': False, 'core_order': 664, 'counter': 3, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1328.3.2.b1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '664.8', 'subgroup_hash': 8, 'subgroup_order': 664, 'subgroup_tex': 'C_2\\times C_{332}', 'supersolvable': True, 'sylow': 0}
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id: 71272382
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1328.3', 'ambient_counter': 3, 'ambient_order': 1328, 'ambient_tex': 'C_2^2:C_{332}', 'central': False, 'central_factor': False, 'centralizer_order': 664, 'characteristic': False, 'core_order': 664, 'counter': 4, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1328.3.2.b1.b1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.b1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '664.8', 'subgroup_hash': 8, 'subgroup_order': 664, 'subgroup_tex': 'C_2\\times C_{332}', 'supersolvable': True, 'sylow': 0}
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id: 71272383
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1328.3', 'ambient_counter': 3, 'ambient_order': 1328, 'ambient_tex': 'C_2^2:C_{332}', 'central': True, 'central_factor': False, 'centralizer_order': 1328, 'characteristic': True, 'core_order': 332, 'counter': 5, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1328.3.4.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': ['Z', 'S', 'U1', 'C2'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '332.4', 'subgroup_hash': 4, 'subgroup_order': 332, 'subgroup_tex': 'C_2\\times C_{166}', 'supersolvable': True, 'sylow': 0}
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id: 71272384
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1328.3', 'ambient_counter': 3, 'ambient_order': 1328, 'ambient_tex': 'C_2^2:C_{332}', 'central': False, 'central_factor': False, 'centralizer_order': 664, 'characteristic': False, 'core_order': 332, 'counter': 6, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1328.3.4.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, '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': True, 'standard_generators': False, 'stem': False, 'subgroup': '332.4', 'subgroup_hash': 4, 'subgroup_order': 332, 'subgroup_tex': 'C_2\\times C_{166}', 'supersolvable': True, 'sylow': 0}
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id: 71272385
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1328.3', 'ambient_counter': 3, 'ambient_order': 1328, 'ambient_tex': 'C_2^2:C_{332}', 'central': False, 'central_factor': False, 'centralizer_order': 664, 'characteristic': False, 'core_order': 332, 'counter': 7, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1328.3.4.b1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.b1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, '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': True, 'standard_generators': False, 'stem': False, 'subgroup': '332.4', 'subgroup_hash': 4, 'subgroup_order': 332, 'subgroup_tex': 'C_2\\times C_{166}', 'supersolvable': True, 'sylow': 0}
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id: 71272386
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1328.3', 'ambient_counter': 3, 'ambient_order': 1328, 'ambient_tex': 'C_2^2:C_{332}', 'central': False, 'central_factor': False, 'centralizer_order': 664, 'characteristic': False, 'core_order': 166, 'counter': 8, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1328.3.4.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.c1.a1', 'outer_equivalence': False, 'perfect': False, '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': '332.4', 'subgroup_hash': 4, 'subgroup_order': 332, 'subgroup_tex': 'C_2\\times C_{166}', 'supersolvable': True, 'sylow': 0}
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id: 71272387
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1328.3', 'ambient_counter': 3, 'ambient_order': 1328, 'ambient_tex': 'C_2^2:C_{332}', 'central': False, 'central_factor': False, 'centralizer_order': 664, 'characteristic': False, 'core_order': 166, 'counter': 9, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1328.3.4.c1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.c1.b1', 'outer_equivalence': False, 'perfect': False, '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': '332.4', 'subgroup_hash': 4, 'subgroup_order': 332, 'subgroup_tex': 'C_2\\times C_{166}', 'supersolvable': True, 'sylow': 0}
-
id: 71272355
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1328.3', 'ambient_counter': 3, 'ambient_order': 1328, 'ambient_tex': 'C_2^2:C_{332}', 'central': False, 'central_factor': False, 'centralizer_order': 664, 'characteristic': False, 'core_order': 166, 'counter': 10, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1328.3.4.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.d1.a1', 'outer_equivalence': False, 'perfect': False, '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': '332.2', 'subgroup_hash': 2, 'subgroup_order': 332, 'subgroup_tex': 'C_{332}', 'supersolvable': True, 'sylow': 0}
-
id: 71272356
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1328.3', 'ambient_counter': 3, 'ambient_order': 1328, 'ambient_tex': 'C_2^2:C_{332}', 'central': False, 'central_factor': False, 'centralizer_order': 664, 'characteristic': False, 'core_order': 166, 'counter': 11, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1328.3.4.d1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.d1.b1', 'outer_equivalence': False, 'perfect': False, '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': '332.2', 'subgroup_hash': 2, 'subgroup_order': 332, 'subgroup_tex': 'C_{332}', 'supersolvable': True, 'sylow': 0}
-
id: 71272357
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1328.3', 'ambient_counter': 3, 'ambient_order': 1328, 'ambient_tex': 'C_2^2:C_{332}', 'central': True, 'central_factor': False, 'centralizer_order': 1328, 'characteristic': True, 'core_order': 166, 'counter': 12, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1328.3.8.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, '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': False, 'standard_generators': False, 'stem': False, 'subgroup': '166.2', 'subgroup_hash': 2, 'subgroup_order': 166, 'subgroup_tex': 'C_{166}', 'supersolvable': True, 'sylow': 0}
-
id: 71272358
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1328.3', 'ambient_counter': 3, 'ambient_order': 1328, 'ambient_tex': 'C_2^2:C_{332}', 'central': True, 'central_factor': False, 'centralizer_order': 1328, 'characteristic': False, 'core_order': 166, 'counter': 13, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1328.3.8.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': ['C3'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '166.2', 'subgroup_hash': 2, 'subgroup_order': 166, 'subgroup_tex': 'C_{166}', 'supersolvable': True, 'sylow': 0}
-
id: 71272359
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1328.3', 'ambient_counter': 3, 'ambient_order': 1328, 'ambient_tex': 'C_2^2:C_{332}', 'central': True, 'central_factor': False, 'centralizer_order': 1328, 'characteristic': False, 'core_order': 166, 'counter': 14, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1328.3.8.b1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.b1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '166.2', 'subgroup_hash': 2, 'subgroup_order': 166, 'subgroup_tex': 'C_{166}', 'supersolvable': True, 'sylow': 0}
-
id: 71272360
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1328.3', 'ambient_counter': 3, 'ambient_order': 1328, 'ambient_tex': 'C_2^2:C_{332}', 'central': False, 'central_factor': False, 'centralizer_order': 664, 'characteristic': False, 'core_order': 83, 'counter': 15, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1328.3.8.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.c1.a1', 'outer_equivalence': False, 'perfect': False, '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': '166.2', 'subgroup_hash': 2, 'subgroup_order': 166, 'subgroup_tex': 'C_{166}', 'supersolvable': True, 'sylow': 0}
-
id: 71272361
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1328.3', 'ambient_counter': 3, 'ambient_order': 1328, 'ambient_tex': 'C_2^2:C_{332}', 'central': False, 'central_factor': False, 'centralizer_order': 664, 'characteristic': False, 'core_order': 83, 'counter': 16, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1328.3.8.c1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.c1.b1', 'outer_equivalence': False, 'perfect': False, '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': '166.2', 'subgroup_hash': 2, 'subgroup_order': 166, 'subgroup_tex': 'C_{166}', 'supersolvable': True, 'sylow': 0}
-
id: 71272362
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1328.3', 'ambient_counter': 3, 'ambient_order': 1328, 'ambient_tex': 'C_2^2:C_{332}', 'central': True, 'central_factor': False, 'centralizer_order': 1328, 'characteristic': True, 'core_order': 83, 'counter': 17, 'cyclic': True, 'direct': True, 'hall': 83, 'label': '1328.3.16.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '16.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, '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': True, 'solvable': True, 'special_labels': ['C4'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '83.1', 'subgroup_hash': 1, 'subgroup_order': 83, 'subgroup_tex': 'C_{83}', 'supersolvable': True, 'sylow': 83}
-
id: 71272363
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1328.3', 'ambient_counter': 3, 'ambient_order': 1328, 'ambient_tex': 'C_2^2:C_{332}', 'central': False, 'central_factor': True, 'centralizer_order': 332, 'characteristic': True, 'core_order': 16, 'counter': 18, 'cyclic': False, 'direct': True, 'hall': 2, 'label': '1328.3.83.a1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '83.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '83.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 83, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{83}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '16.3', 'subgroup_hash': 3, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 2}
-
id: 71272364
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1328.3', 'ambient_counter': 3, 'ambient_order': 1328, 'ambient_tex': 'C_2^2:C_{332}', 'central': False, 'central_factor': False, 'centralizer_order': 664, 'characteristic': True, 'core_order': 8, 'counter': 19, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1328.3.166.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '166.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '166.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 166, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{166}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 71272366
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1328.3', 'ambient_counter': 3, 'ambient_order': 1328, 'ambient_tex': 'C_2^2:C_{332}', 'central': False, 'central_factor': False, 'centralizer_order': 664, 'characteristic': False, 'core_order': 8, 'counter': 20, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1328.3.166.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '166.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '166.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 166, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{166}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 71272367
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1328.3', 'ambient_counter': 3, 'ambient_order': 1328, 'ambient_tex': 'C_2^2:C_{332}', 'central': False, 'central_factor': False, 'centralizer_order': 664, 'characteristic': False, 'core_order': 8, 'counter': 21, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1328.3.166.b1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '166.b1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '166.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 166, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{166}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 71272368
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1328.3', 'ambient_counter': 3, 'ambient_order': 1328, 'ambient_tex': 'C_2^2:C_{332}', 'central': True, 'central_factor': False, 'centralizer_order': 1328, 'characteristic': True, 'core_order': 4, 'counter': 22, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1328.3.332.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '332.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '332.4', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 4, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 332, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{166}', 'simple': False, 'solvable': True, 'special_labels': ['Phi'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 71272369
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1328.3', 'ambient_counter': 3, 'ambient_order': 1328, 'ambient_tex': 'C_2^2:C_{332}', 'central': False, 'central_factor': False, 'centralizer_order': 664, 'characteristic': False, 'core_order': 4, 'counter': 23, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1328.3.332.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '332.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '332.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 332, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{332}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 71272370
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1328.3', 'ambient_counter': 3, 'ambient_order': 1328, 'ambient_tex': 'C_2^2:C_{332}', 'central': False, 'central_factor': False, 'centralizer_order': 664, 'characteristic': False, 'core_order': 4, 'counter': 24, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1328.3.332.b1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '332.b1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '332.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 332, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{332}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 71272371
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1328.3', 'ambient_counter': 3, 'ambient_order': 1328, 'ambient_tex': 'C_2^2:C_{332}', 'central': False, 'central_factor': False, 'centralizer_order': 664, 'characteristic': False, 'core_order': 2, 'counter': 25, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1328.3.332.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '332.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 332, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 71272372
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1328.3', 'ambient_counter': 3, 'ambient_order': 1328, 'ambient_tex': 'C_2^2:C_{332}', 'central': False, 'central_factor': False, 'centralizer_order': 664, 'characteristic': False, 'core_order': 2, 'counter': 26, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1328.3.332.c1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '332.c1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 332, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 71272373
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1328.3', 'ambient_counter': 3, 'ambient_order': 1328, 'ambient_tex': 'C_2^2:C_{332}', 'central': False, 'central_factor': False, 'centralizer_order': 664, 'characteristic': False, 'core_order': 2, 'counter': 27, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1328.3.332.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '332.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 332, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
-
id: 71272374
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1328.3', 'ambient_counter': 3, 'ambient_order': 1328, 'ambient_tex': 'C_2^2:C_{332}', 'central': False, 'central_factor': False, 'centralizer_order': 664, 'characteristic': False, 'core_order': 2, 'counter': 28, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1328.3.332.d1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '332.d1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 332, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
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id: 71272375
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1328.3', 'ambient_counter': 3, 'ambient_order': 1328, 'ambient_tex': 'C_2^2:C_{332}', 'central': True, 'central_factor': False, 'centralizer_order': 1328, 'characteristic': True, 'core_order': 2, 'counter': 29, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1328.3.664.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '664.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '664.8', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 8, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 664, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{332}', 'simple': True, 'solvable': True, 'special_labels': ['D', 'L1', 'D1'], 'split': False, 'standard_generators': False, 'stem': True, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
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id: 71272377
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1328.3', 'ambient_counter': 3, 'ambient_order': 1328, 'ambient_tex': 'C_2^2:C_{332}', 'central': True, 'central_factor': False, 'centralizer_order': 1328, 'characteristic': False, 'core_order': 2, 'counter': 30, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1328.3.664.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '664.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '664.9', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 9, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 664, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4\\times C_{83}', 'simple': True, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
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id: 71272378
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1328.3', 'ambient_counter': 3, 'ambient_order': 1328, 'ambient_tex': 'C_2^2:C_{332}', 'central': True, 'central_factor': False, 'centralizer_order': 1328, 'characteristic': False, 'core_order': 2, 'counter': 31, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1328.3.664.b1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '664.b1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '664.9', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 9, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 664, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4\\times C_{83}', 'simple': True, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
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id: 71272379
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1328.3', 'ambient_counter': 3, 'ambient_order': 1328, 'ambient_tex': 'C_2^2:C_{332}', 'central': False, 'central_factor': False, 'centralizer_order': 664, 'characteristic': False, 'core_order': 1, 'counter': 32, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1328.3.664.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '664.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 664, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
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id: 71272380
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1328.3', 'ambient_counter': 3, 'ambient_order': 1328, 'ambient_tex': 'C_2^2:C_{332}', 'central': False, 'central_factor': False, 'centralizer_order': 664, 'characteristic': False, 'core_order': 1, 'counter': 33, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1328.3.664.c1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '664.c1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 664, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
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id: 71272381
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1328.3', 'ambient_counter': 3, 'ambient_order': 1328, 'ambient_tex': 'C_2^2:C_{332}', 'central': True, 'central_factor': False, 'centralizer_order': 1328, 'characteristic': True, 'core_order': 1, 'counter': 34, 'cyclic': True, 'direct': True, 'hall': 1, 'label': '1328.3.1328.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1328.a1.a1', 'outer_equivalence': False, 'perfect': True, 'proper': False, 'quotient': '1328.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 1328, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2:C_{332}', 'simple': False, 'solvable': True, 'special_labels': ['PC', 'U2', 'L2', 'D2', 'C5'], 'split': True, 'standard_generators': False, 'stem': True, 'subgroup': '1.1', 'subgroup_hash': 1, 'subgroup_order': 1, 'subgroup_tex': 'C_1', 'supersolvable': True, 'sylow': 1}
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gps_subgroup_data • Show schema
Hide schema
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id: 71272354
{'ambient': '1328.3', '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': '4.a1.a1', 'complements': ['1328.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': [], 'contains': ['2.a1.a1', '2.b1.a1', '2.b1.b1', '83.a1.a1'], 'core': '1.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [8856, 1797, 8030, 2777, 6318, 4779, 7284, 3345], 'generators': [4, 664, 16, 2, 1], 'label': '1328.3.1.a1.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '1.a1.a1', 'normal_contained_in': [], 'normal_contains': ['2.a1.a1', '2.b1.b1', '2.b1.a1', '83.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '1.a1.a1', 'projective_image': '4.2', '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': '4.2'}
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id: 71272355
{'ambient': '1328.3', 'aut_centralizer_order': 4, 'aut_label': '4.d1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '164.5', 'aut_weyl_index': 16, 'centralizer': '2.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.b1.a1'], 'contains': ['8.b1.a1', '332.d1.a1'], 'core': '8.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [8856, -1, 9041, -1, 9514, -1, 8736, -1], 'generators': [2, 16, 4], 'label': '1328.3.4.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '4.d1.a1', 'projective_image': '8.3', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.d1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 71272356
{'ambient': '1328.3', 'aut_centralizer_order': 4, 'aut_label': '4.d1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '164.5', 'aut_weyl_index': 16, 'centralizer': '2.b1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.b1.b1'], 'contains': ['8.b1.b1', '332.d1.b1'], 'core': '8.b1.b1', 'coset_action_label': None, 'count': 2, 'diagramx': [8856, -1, 6128, -1, 9514, -1, 7055, -1], 'generators': [3, 16, 668], 'label': '1328.3.4.d1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.b1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.b1', 'old_label': '4.d1.b1', 'projective_image': '8.3', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.d1.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 71272357
{'ambient': '1328.3', 'aut_centralizer_order': 32, 'aut_label': '8.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '82.2', 'aut_weyl_index': 32, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '4.b1.a1', '4.b1.b1'], 'contains': ['16.a1.a1', '664.a1.a1'], 'core': '8.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3551, 4644, 4831, 7187, 4905, 3879, 5129, 7138], 'generators': [664, 16], 'label': '1328.3.8.a1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '8.a1.a1', 'normal_contained_in': ['4.a1.a1', '4.b1.b1', '4.b1.a1'], 'normal_contains': ['16.a1.a1', '664.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '8.a1.a1', 'projective_image': '8.2', 'quotient_action_image': '1.1', 'quotient_action_kernel': '8.2', 'quotient_action_kernel_order': 8, 'quotient_fusion': None, 'short_label': '8.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 71272358
{'ambient': '1328.3', 'aut_centralizer_order': 16, 'aut_label': '8.b1', 'aut_quo_index': 2, 'aut_stab_index': 2, 'aut_weyl_group': '82.2', 'aut_weyl_index': 32, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '4.c1.a1', '4.d1.a1'], 'contains': ['16.a1.a1', '664.b1.a1'], 'core': '8.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6270, 8203, 6792, 5131, 6097, 2096, 6523, 3954], 'generators': [4, 16], 'label': '1328.3.8.b1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '8.b1.a1', 'normal_contained_in': ['4.a1.a1'], 'normal_contains': ['16.a1.a1', '664.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '8.b1.a1', 'projective_image': '8.3', 'quotient_action_image': '1.1', 'quotient_action_kernel': '8.3', 'quotient_action_kernel_order': 8, 'quotient_fusion': None, 'short_label': '8.b1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 71272359
{'ambient': '1328.3', 'aut_centralizer_order': 16, 'aut_label': '8.b1', 'aut_quo_index': 2, 'aut_stab_index': 2, 'aut_weyl_group': '82.2', 'aut_weyl_index': 32, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '4.c1.b1', '4.d1.b1'], 'contains': ['16.a1.a1', '664.b1.b1'], 'core': '8.b1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [6270, 8203, 5648, 3984, 6097, 2096, 5826, 5069], 'generators': [668, 16], 'label': '1328.3.8.b1.b1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '8.b1.b1', 'normal_contained_in': ['4.a1.a1'], 'normal_contains': ['16.a1.a1', '664.b1.b1'], 'normalizer': '1.a1.a1', 'old_label': '8.b1.b1', 'projective_image': '8.3', 'quotient_action_image': '1.1', 'quotient_action_kernel': '8.3', 'quotient_action_kernel_order': 8, 'quotient_fusion': None, 'short_label': '8.b1.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 71272360
{'ambient': '1328.3', 'aut_centralizer_order': 8, 'aut_label': '8.c1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '82.2', 'aut_weyl_index': 32, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.b1.a1', '4.c1.a1', '4.c1.b1'], 'contains': ['16.a1.a1', '664.c1.a1'], 'core': '16.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [2110, -1, 3687, -1, 1684, -1, 3836, -1], 'generators': [1, 16], 'label': '1328.3.8.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '8.c1.a1', 'projective_image': '16.3', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.c1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 71272361
{'ambient': '1328.3', 'aut_centralizer_order': 8, 'aut_label': '8.c1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '82.2', 'aut_weyl_index': 32, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.b1.b1', '4.c1.a1', '4.c1.b1'], 'contains': ['16.a1.a1', '664.c1.b1'], 'core': '16.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [2110, -1, 1852, -1, 1684, -1, 1365, -1], 'generators': [5, 16], 'label': '1328.3.8.c1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.b1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '8.c1.b1', 'projective_image': '16.3', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.c1.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 71272362
{'ambient': '1328.3', 'aut_centralizer_order': 32, 'aut_label': '16.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '82.2', 'aut_weyl_index': 32, 'centralizer': '1.a1.a1', 'complements': ['83.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '8.b1.a1', '8.b1.b1', '8.c1.a1', '8.c1.b1'], 'contains': ['1328.a1.a1'], 'core': '16.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2823, 8111, 5117, 5154, 4069, 2739, 4555, 5127], 'generators': [16], 'label': '1328.3.16.a1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '16.a1.a1', 'normal_contained_in': ['8.a1.a1', '8.b1.b1', '8.b1.a1'], 'normal_contains': ['1328.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '16.a1.a1', 'projective_image': '16.3', 'quotient_action_image': '1.1', 'quotient_action_kernel': '16.3', 'quotient_action_kernel_order': 16, 'quotient_fusion': None, 'short_label': '16.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 71272363
{'ambient': '1328.3', 'aut_centralizer_order': 82, 'aut_label': '83.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '32.27', 'aut_weyl_index': 82, 'centralizer': '4.a1.a1', 'complements': ['16.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['166.a1.a1', '166.b1.a1', '166.b1.b1'], 'core': '83.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [8187, 2984, 8787, 2033, 6318, 7592, 7802, 2529], 'generators': [1, 2], 'label': '1328.3.83.a1.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '83.a1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['166.a1.a1', '166.b1.b1', '166.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '83.a1.a1', 'projective_image': '332.4', 'quotient_action_image': '1.1', 'quotient_action_kernel': '83.1', 'quotient_action_kernel_order': 83, 'quotient_fusion': None, 'short_label': '83.a1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
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id: 71272364
{'ambient': '1328.3', 'aut_centralizer_order': 328, 'aut_label': '166.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '8.3', 'aut_weyl_index': 328, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '83.a1.a1'], 'contains': ['332.a1.a1', '332.b1.a1', '332.b1.b1', '332.c1.a1', '332.c1.b1'], 'core': '166.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5453, 2984, 3249, 5626, 4622, 9412, 3937, 5678], 'generators': [1, 4, 664], 'label': '1328.3.166.a1.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '166.a1.a1', 'normal_contained_in': ['2.a1.a1', '83.a1.a1'], 'normal_contains': ['332.a1.a1', '332.b1.b1', '332.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '166.a1.a1', 'projective_image': '332.4', 'quotient_action_image': '2.1', 'quotient_action_kernel': '83.1', 'quotient_action_kernel_order': 83, 'quotient_fusion': None, 'short_label': '166.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
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id: 71272365
{'ambient': '1328.3', 'aut_centralizer_order': 4, 'aut_label': '2.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '656.47', 'aut_weyl_index': 4, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.a1.a1', '4.b1.a1', '4.b1.b1', '4.c1.a1', '4.c1.b1', '166.a1.a1'], 'core': '2.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5260, 1797, 3544, 5816, 4437, 4779, 3937, 6276], 'generators': [1, 4, 16, 664], 'label': '1328.3.2.a1.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.a1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.a1.a1', '4.b1.b1', '4.b1.a1', '166.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.a1.a1', 'projective_image': '4.2', 'quotient_action_image': '2.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '2.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 71272366
{'ambient': '1328.3', 'aut_centralizer_order': 328, 'aut_label': '166.b1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '4.2', 'aut_weyl_index': 656, 'centralizer': '2.b1.a1', 'complements': ['8.c1.a1', '8.c1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['2.b1.a1', '83.a1.a1'], 'contains': ['332.a1.a1', '332.d1.a1'], 'core': '166.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [8232, 5957, 9242, 1325, 8076, 7408, 9576, 2448], 'generators': [2, 664], 'label': '1328.3.166.b1.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '166.b1.a1', 'normal_contained_in': ['2.b1.a1', '83.a1.a1'], 'normal_contains': ['332.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '166.b1.a1', 'projective_image': '332.4', 'quotient_action_image': '2.1', 'quotient_action_kernel': '83.1', 'quotient_action_kernel_order': 83, 'quotient_fusion': None, 'short_label': '166.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 71272367
{'ambient': '1328.3', 'aut_centralizer_order': 328, 'aut_label': '166.b1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '4.2', 'aut_weyl_index': 656, 'centralizer': '2.b1.b1', 'complements': ['8.c1.a1', '8.c1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['2.b1.b1', '83.a1.a1'], 'contains': ['332.a1.a1', '332.d1.b1'], 'core': '166.b1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [8232, 5957, 8097, 2931, 8076, 7408, 7895, 885], 'generators': [3, 664], 'label': '1328.3.166.b1.b1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '166.b1.b1', 'normal_contained_in': ['2.b1.b1', '83.a1.a1'], 'normal_contains': ['332.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '166.b1.b1', 'projective_image': '332.4', 'quotient_action_image': '2.1', 'quotient_action_kernel': '83.1', 'quotient_action_kernel_order': 83, 'quotient_fusion': None, 'short_label': '166.b1.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 71272368
{'ambient': '1328.3', 'aut_centralizer_order': 1312, 'aut_label': '332.a1', 'aut_quo_index': 3, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 1312, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '166.a1.a1', '166.b1.a1', '166.b1.b1'], 'contains': ['664.a1.a1', '664.b1.a1', '664.b1.b1'], 'core': '332.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6107, 5957, 6701, 3700, 7203, 5533, 7170, 2920], 'generators': [4, 664], 'label': '1328.3.332.a1.a1', 'mobius_quo': 2, 'mobius_sub': -2, 'normal_closure': '332.a1.a1', 'normal_contained_in': ['4.a1.a1', '166.a1.a1', '166.b1.b1', '166.b1.a1'], 'normal_contains': ['664.a1.a1', '664.b1.b1', '664.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '332.a1.a1', 'projective_image': '332.4', 'quotient_action_image': '1.1', 'quotient_action_kernel': '332.4', 'quotient_action_kernel_order': 332, 'quotient_fusion': None, 'short_label': '332.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 71272369
{'ambient': '1328.3', 'aut_centralizer_order': 656, 'aut_label': '332.b1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '2.1', 'aut_weyl_index': 1312, 'centralizer': '2.a1.a1', 'complements': ['4.d1.a1', '4.d1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['4.b1.a1', '166.a1.a1'], 'contains': ['664.a1.a1', '664.c1.a1'], 'core': '332.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3106, 2984, 4260, 5626, 2790, 7040, 4483, 8173], 'generators': [1, 664], 'label': '1328.3.332.b1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '332.b1.a1', 'normal_contained_in': ['4.b1.a1', '166.a1.a1'], 'normal_contains': ['664.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '332.b1.a1', 'projective_image': '664.8', 'quotient_action_image': '2.1', 'quotient_action_kernel': '166.2', 'quotient_action_kernel_order': 166, 'quotient_fusion': None, 'short_label': '332.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 71272370
{'ambient': '1328.3', 'aut_centralizer_order': 656, 'aut_label': '332.b1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '2.1', 'aut_weyl_index': 1312, 'centralizer': '2.a1.a1', 'complements': ['4.d1.a1', '4.d1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['4.b1.b1', '166.a1.a1'], 'contains': ['664.a1.a1', '664.c1.b1'], 'core': '332.b1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [3106, 2984, 1868, 6596, 2790, 7040, 2012, 6104], 'generators': [5, 664], 'label': '1328.3.332.b1.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '332.b1.b1', 'normal_contained_in': ['4.b1.b1', '166.a1.a1'], 'normal_contains': ['664.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '332.b1.b1', 'projective_image': '664.8', 'quotient_action_image': '2.1', 'quotient_action_kernel': '166.2', 'quotient_action_kernel_order': 166, 'quotient_fusion': None, 'short_label': '332.b1.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 71272371
{'ambient': '1328.3', 'aut_centralizer_order': 328, 'aut_label': '332.c1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '2.1', 'aut_weyl_index': 1312, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.c1.a1', '166.a1.a1'], 'contains': ['664.b1.a1', '664.c1.a1', '664.c1.b1'], 'core': '664.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [4888, -1, 3249, -1, 3798, -1, 3190, -1], 'generators': [1, 4], 'label': '1328.3.332.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '166.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '332.c1.a1', 'projective_image': '664.9', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '332.c1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 71272372
{'ambient': '1328.3', 'aut_centralizer_order': 328, 'aut_label': '332.c1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '2.1', 'aut_weyl_index': 1312, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.c1.b1', '166.a1.a1'], 'contains': ['664.b1.b1', '664.c1.a1', '664.c1.b1'], 'core': '664.b1.b1', 'coset_action_label': None, 'count': 2, 'diagramx': [4888, -1, 2559, -1, 3798, -1, 2601, -1], 'generators': [1, 668], 'label': '1328.3.332.c1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '166.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '332.c1.b1', 'projective_image': '664.9', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '332.c1.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 71272373
{'ambient': '1328.3', 'aut_centralizer_order': 328, 'aut_label': '332.d1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '2.1', 'aut_weyl_index': 1312, 'centralizer': '2.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.d1.a1', '166.b1.a1'], 'contains': ['664.b1.a1'], 'core': '664.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [8232, -1, 9242, -1, 8150, -1, 8736, -1], 'generators': [2], 'label': '1328.3.332.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '166.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '332.d1.a1', 'projective_image': '664.9', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '332.d1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 71272374
{'ambient': '1328.3', 'aut_centralizer_order': 328, 'aut_label': '332.d1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '2.1', 'aut_weyl_index': 1312, 'centralizer': '2.b1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.d1.b1', '166.b1.b1'], 'contains': ['664.b1.b1'], 'core': '664.b1.b1', 'coset_action_label': None, 'count': 2, 'diagramx': [8232, -1, 6052, -1, 8150, -1, 7723, -1], 'generators': [3], 'label': '1328.3.332.d1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '166.b1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.b1', 'old_label': '332.d1.b1', 'projective_image': '664.9', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '332.d1.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 71272375
{'ambient': '1328.3', 'aut_centralizer_order': 2624, 'aut_label': '664.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '1.1', 'aut_weyl_index': 2624, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '332.a1.a1', '332.b1.a1', '332.b1.b1'], 'contains': ['1328.a1.a1'], 'core': '664.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4146, 4772, 4655, 5626, 5052, 5533, 5129, 6104], 'generators': [664], 'label': '1328.3.664.a1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '664.a1.a1', 'normal_contained_in': ['8.a1.a1', '332.a1.a1', '332.b1.b1', '332.b1.a1'], 'normal_contains': ['1328.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '664.a1.a1', 'projective_image': '664.8', 'quotient_action_image': '1.1', 'quotient_action_kernel': '664.8', 'quotient_action_kernel_order': 664, 'quotient_fusion': None, 'short_label': '664.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 71272376
{'ambient': '1328.3', 'aut_centralizer_order': 4, 'aut_label': '2.b1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '328.15', 'aut_weyl_index': 8, 'centralizer': '2.b1.a1', 'complements': ['664.c1.a1', '664.c1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.a1.a1', '4.d1.a1', '166.b1.a1'], 'core': '2.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [8856, 5137, 9352, 910, 8076, 1415, 8829, 4173], 'generators': [2, 664, 4, 16], 'label': '1328.3.2.b1.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.b1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.a1.a1', '166.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.b1.a1', 'projective_image': '4.2', 'quotient_action_image': '2.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '2.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 71272377
{'ambient': '1328.3', 'aut_centralizer_order': 1312, 'aut_label': '664.b1', 'aut_quo_index': 2, 'aut_stab_index': 2, 'aut_weyl_group': '1.1', 'aut_weyl_index': 2624, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.b1.a1', '332.a1.a1', '332.c1.a1', '332.d1.a1'], 'contains': ['1328.a1.a1'], 'core': '664.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6107, 6852, 6701, 4267, 6097, 4210, 6523, 3379], 'generators': [4], 'label': '1328.3.664.b1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '664.b1.a1', 'normal_contained_in': ['8.b1.a1', '332.a1.a1'], 'normal_contains': ['1328.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '664.b1.a1', 'projective_image': '664.9', 'quotient_action_image': '1.1', 'quotient_action_kernel': '664.9', 'quotient_action_kernel_order': 664, 'quotient_fusion': None, 'short_label': '664.b1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 71272378
{'ambient': '1328.3', 'aut_centralizer_order': 1312, 'aut_label': '664.b1', 'aut_quo_index': 2, 'aut_stab_index': 2, 'aut_weyl_group': '1.1', 'aut_weyl_index': 2624, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.b1.b1', '332.a1.a1', '332.c1.b1', '332.d1.b1'], 'contains': ['1328.a1.a1'], 'core': '664.b1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [6107, 6852, 5589, 3417, 6097, 4210, 5826, 4207], 'generators': [668], 'label': '1328.3.664.b1.b1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '664.b1.b1', 'normal_contained_in': ['8.b1.b1', '332.a1.a1'], 'normal_contains': ['1328.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '664.b1.b1', 'projective_image': '664.9', 'quotient_action_image': '1.1', 'quotient_action_kernel': '664.9', 'quotient_action_kernel_order': 664, 'quotient_fusion': None, 'short_label': '664.b1.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 71272379
{'ambient': '1328.3', 'aut_centralizer_order': 656, 'aut_label': '664.c1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '1.1', 'aut_weyl_index': 2624, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.c1.a1', '332.b1.a1', '332.c1.a1', '332.c1.b1'], 'contains': ['1328.a1.a1'], 'core': '1328.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [3076, -1, 3754, -1, 3012, -1, 3836, -1], 'generators': [1], 'label': '1328.3.664.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '332.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '664.c1.a1', 'projective_image': '1328.3', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '664.c1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 71272380
{'ambient': '1328.3', 'aut_centralizer_order': 656, 'aut_label': '664.c1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '1.1', 'aut_weyl_index': 2624, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.c1.b1', '332.b1.b1', '332.c1.a1', '332.c1.b1'], 'contains': ['1328.a1.a1'], 'core': '1328.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [3076, -1, 2559, -1, 3012, -1, 2601, -1], 'generators': [5], 'label': '1328.3.664.c1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '332.b1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '664.c1.b1', 'projective_image': '1328.3', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '664.c1.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 71272381
{'ambient': '1328.3', 'aut_centralizer_order': None, 'aut_label': '1328.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1.a1', 'complements': ['1.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['16.a1.a1', '664.a1.a1', '664.b1.a1', '664.b1.b1', '664.c1.a1', '664.c1.b1'], 'contains': [], 'core': '1328.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3612, 6852, 4891, 4586, 4560, 4210, 4842, 4667], 'generators': [], 'label': '1328.3.1328.a1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '1328.a1.a1', 'normal_contained_in': ['16.a1.a1', '664.a1.a1', '664.b1.b1', '664.b1.a1'], 'normal_contains': [], 'normalizer': '1.a1.a1', 'old_label': '1328.a1.a1', 'projective_image': '1328.3', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1328.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 71272382
{'ambient': '1328.3', 'aut_centralizer_order': 4, 'aut_label': '2.b1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '328.15', 'aut_weyl_index': 8, 'centralizer': '2.b1.b1', 'complements': ['664.c1.a1', '664.c1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.a1.a1', '4.d1.b1', '166.b1.b1'], 'core': '2.b1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [8856, 5137, 7423, 3392, 8076, 1415, 6774, 885], 'generators': [3, 664, 668, 16], 'label': '1328.3.2.b1.b1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.b1.b1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.a1.a1', '166.b1.b1'], 'normalizer': '1.a1.a1', 'old_label': '2.b1.b1', 'projective_image': '4.2', 'quotient_action_image': '2.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '2.b1.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 71272383
{'ambient': '1328.3', 'aut_centralizer_order': 16, 'aut_label': '4.a1', 'aut_quo_index': 3, 'aut_stab_index': 1, 'aut_weyl_group': '164.5', 'aut_weyl_index': 16, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '2.b1.a1', '2.b1.b1'], 'contains': ['8.a1.a1', '8.b1.a1', '8.b1.b1', '332.a1.a1'], 'core': '4.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6820, 5045, 7264, 3984, 6183, 1415, 6085, 4218], 'generators': [4, 664, 16], 'label': '1328.3.4.a1.a1', 'mobius_quo': -2, 'mobius_sub': 2, 'normal_closure': '4.a1.a1', 'normal_contained_in': ['2.a1.a1', '2.b1.b1', '2.b1.a1'], 'normal_contains': ['8.a1.a1', '8.b1.b1', '8.b1.a1', '332.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.a1.a1', 'projective_image': '4.2', 'quotient_action_image': '1.1', 'quotient_action_kernel': '4.2', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '4.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 71272384
{'ambient': '1328.3', 'aut_centralizer_order': 8, 'aut_label': '4.b1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '164.5', 'aut_weyl_index': 16, 'centralizer': '2.a1.a1', 'complements': ['332.d1.a1', '332.d1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1'], 'contains': ['8.a1.a1', '8.c1.a1', '332.b1.a1'], 'core': '4.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1144, 1906, 4991, 7057, 946, 4577, 4849, 9115], 'generators': [1, 664, 16], 'label': '1328.3.4.b1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '4.b1.a1', 'normal_contained_in': ['2.a1.a1'], 'normal_contains': ['8.a1.a1', '332.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.b1.a1', 'projective_image': '8.2', 'quotient_action_image': '2.1', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '4.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 71272385
{'ambient': '1328.3', 'aut_centralizer_order': 8, 'aut_label': '4.b1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '164.5', 'aut_weyl_index': 16, 'centralizer': '2.a1.a1', 'complements': ['332.d1.a1', '332.d1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1'], 'contains': ['8.a1.a1', '8.c1.b1', '332.b1.b1'], 'core': '4.b1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [1144, 1906, 648, 9090, 946, 4577, 553, 7138], 'generators': [5, 664, 16], 'label': '1328.3.4.b1.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '4.b1.b1', 'normal_contained_in': ['2.a1.a1'], 'normal_contains': ['8.a1.a1', '332.b1.b1'], 'normalizer': '1.a1.a1', 'old_label': '4.b1.b1', 'projective_image': '8.2', 'quotient_action_image': '2.1', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '4.b1.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 71272386
{'ambient': '1328.3', 'aut_centralizer_order': 4, 'aut_label': '4.c1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '164.5', 'aut_weyl_index': 16, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1'], 'contains': ['8.b1.a1', '8.c1.a1', '8.c1.b1', '332.c1.a1'], 'core': '8.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [3699, -1, 3544, -1, 3061, -1, 3024, -1], 'generators': [1, 4, 16], 'label': '1328.3.4.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '4.c1.a1', 'projective_image': '8.3', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.c1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 71272387
{'ambient': '1328.3', 'aut_centralizer_order': 4, 'aut_label': '4.c1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '164.5', 'aut_weyl_index': 16, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1'], 'contains': ['8.b1.b1', '8.c1.a1', '8.c1.b1', '332.c1.b1'], 'core': '8.b1.b1', 'coset_action_label': None, 'count': 2, 'diagramx': [3699, -1, 2096, -1, 3061, -1, 1789, -1], 'generators': [1, 668, 16], 'label': '1328.3.4.c1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '4.c1.b1', 'projective_image': '8.3', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.c1.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
