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gps_groups • Show schema
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{'Agroup': False, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '96.161', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 2, 'aut_exponent': 20, 'aut_gen_orders': [20, 4, 2, 4, 4, 4, 4, 4, 20], 'aut_gens': [[1, 4, 16], [729, 774, 658], [11, 294, 696], [3, 772, 472], [241, 14, 184], [9, 108, 592], [489, 302, 368], [243, 868, 952], [9, 292, 216], [729, 100, 504]], 'aut_group': None, 'aut_hash': 3710093089907110504, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 40960, 'aut_permdeg': 58, 'aut_perms': [886704588250721802610967284703907843285938193196736843611191771447221479075265, 654518191248593502279393218818262168395270114249886684122491153244592059888326, 40734762098583700441244881163552860597961426975778399691563689681132314843094, 1022209290892951506602712757891698565141216900196073969054968429878976672659200, 335474485384690461496357172291912146250403265571997079532775109412996290454916, 2066587248787280152571667730476467371320364058802630731922442543288917508324719, 1503322106289225635714904274955378337731061186170659566563898288370183561563014, 335449783978309567468147276708322191217873255646499863197723330166486280751330, 886886788155523834761788737250347388656687553606670427741750649961659802202803], 'aut_phi_ratio': 160.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 3], [2, 1, 2, 2], [3, 1, 2, 1], [4, 1, 8, 1], [4, 2, 8, 1], [4, 10, 4, 2], [4, 10, 8, 1], [5, 2, 2, 1], [6, 1, 2, 3], [6, 1, 4, 2], [10, 2, 2, 3], [10, 2, 4, 2], [12, 1, 16, 1], [12, 2, 16, 1], [12, 10, 8, 2], [12, 10, 16, 1], [15, 2, 4, 1], [20, 2, 16, 1], [20, 2, 32, 1], [30, 2, 4, 3], [30, 2, 8, 2], [60, 2, 32, 1], [60, 2, 64, 1]], 'aut_supersolvable': True, 'aut_tex': 'C_5:(C_2^8.C_2^5)', 'autcent_abelian': False, 'autcent_cyclic': False, 'autcent_exponent': 4, 'autcent_group': None, 'autcent_hash': 7132462113708232860, 'autcent_nilpotent': True, 'autcent_order': 2048, 'autcent_solvable': True, 'autcent_split': None, 'autcent_supersolvable': True, 'autcent_tex': 'C_2^{10}.C_2', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 20, 'autcentquo_group': None, 'autcentquo_hash': 3, 'autcentquo_nilpotent': False, 'autcentquo_order': 20, 'autcentquo_solvable': True, 'autcentquo_supersolvable': True, 'autcentquo_tex': 'F_5', 'cc_stats': [[1, 1, 1], [2, 1, 7], [3, 1, 2], [4, 1, 8], [4, 2, 8], [4, 10, 16], [5, 2, 2], [6, 1, 14], [10, 2, 14], [12, 1, 16], [12, 2, 16], [12, 10, 32], [15, 2, 4], [20, 2, 48], [30, 2, 28], [60, 2, 96]], 'center_label': '48.44', 'center_order': 48, 'central_product': True, 'central_quotient': '20.4', 'commutator_count': 1, 'commutator_label': '10.2', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '3.1', '5.1'], 'composition_length': 8, 'conjugacy_classes_known': True, 'counter': 4023, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [['3.1', 1], ['4.1', 1], ['80.12', 1]], 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 7], [3, 1, 2, 1], [4, 1, 2, 4], [4, 2, 2, 4], [4, 10, 1, 4], [4, 10, 2, 6], [5, 2, 2, 1], [6, 1, 2, 7], [10, 2, 2, 7], [12, 1, 4, 4], [12, 2, 4, 4], [12, 10, 2, 4], [12, 10, 4, 6], [15, 2, 4, 1], [20, 2, 4, 4], [20, 2, 8, 4], [30, 2, 4, 7], [60, 2, 8, 4], [60, 2, 16, 4]], 'element_repr_type': 'PC', 'elementary': 1, 'eulerian_function': 6552, 'exponent': 60, 'exponents_of_order': [6, 1, 1], 'factors_of_aut_order': [2, 5], 'factors_of_order': [2, 3, 5], 'faithful_reps': [], 'familial': False, 'frattini_label': '8.5', 'frattini_quotient': '120.44', 'hash': 4023, 'hyperelementary': 2, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 10, 'inner_gen_orders': [2, 2, 5], 'inner_gens': [[1, 12, 16], [9, 4, 784], [1, 196, 16]], 'inner_hash': 4, 'inner_nilpotent': False, 'inner_order': 20, 'inner_split': False, 'inner_tex': 'D_{10}', 'inner_used': [1, 2, 3], 'irrC_degree': -1, 'irrQ_degree': -1, 'irrQ_dim': -1, 'irrR_degree': -1, 'irrep_stats': [[1, 96], [2, 216]], 'label': '960.4023', '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': 'C4*C30.D4', 'ngens': 8, 'nilpotency_class': -1, 'nilpotent': False, 'normal_counts': [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 38, 'number_characteristic_subgroups': 50, 'number_conjugacy_classes': 312, 'number_divisions': 84, 'number_normal_subgroups': 214, 'number_subgroup_autclasses': 180, 'number_subgroup_classes': 388, 'number_subgroups': 1020, 'old_label': None, 'order': 960, 'order_factorization_type': 311, 'order_stats': [[1, 1], [2, 7], [3, 2], [4, 184], [5, 4], [6, 14], [10, 28], [12, 368], [15, 8], [20, 96], [30, 56], [60, 192]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': True, 'outer_exponent': 4, 'outer_gen_orders': [4, 4, 2, 4, 4, 4, 4], 'outer_gen_pows': [0, 0, 0, 0, 576, 0, 0], 'outer_gens': [[241, 204, 592], [3, 870, 592], [3, 110, 472], [243, 6, 850], [729, 294, 186], [243, 108, 474], [491, 204, 690]], 'outer_group': None, 'outer_hash': 2333557825086969646, 'outer_nilpotent': True, 'outer_order': 2048, 'outer_permdeg': 128, 'outer_perms': [291220100525295155396485789537733799938076982514341847388540710791235335445296619258312579174129510855918523659485987825626451560990344800410434808809881966874258909863021396719071308599756130827007759031090506730082, 150235857227027558936232835807691951016167039771069040037534759402188824052984286552290797284886088238566576055462692424136672123822962158710039644435758923198629532545977008347824675781588235973060846742687895307985, 355609100534120492452532061670986755966981232905196700844338765353095985897745315652987920538831030868209642037453001983812894629268609465003700310684257254941237124338345499522293474420186985535992198260347836188983, 121768793862275146306882110484359345778696235614442816962244769178318143804109313947116050364389975252971857292290557650811209555981127602642188555804283891735286249382020515413186328497048300152202689460156074596682, 193930565023780760656633650561551132897959411720252780229090876410167658440286636891057678484057557177904850817467224577674667058436496719816738757008863016205830788789493062690590649137322984218796753708741245876240, 269627141665702249406950512096781692817566535194620568488935321222369518560321135821983704197225070885634540225353028678151321681374206006583813299813827312139399418824688248933308586488270753733813452016759580352093, 311152420584823484237533443865018687956651140181499911815785510168546321713944618070485342652787394697791791781457834105119956826601084569491205348632081747171495111828861863679259827771401793242558212400640449339485], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'C_2^8.C_2^3', 'pc_rank': 3, 'perfect': False, 'permutation_degree': 20, 'pgroup': 0, 'primary_abelian_invariants': [2, 4, 4, 3], 'quasisimple': False, 'rank': 3, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 8], [2, 24], [4, 22], [8, 16], [16, 12], [32, 2]], 'representations': {'PC': {'code': 4679973276712839409026216029587126011363335, 'gens': [1, 3, 5], 'pres': [8, -2, -2, -2, -2, -2, -2, -3, -5, 16, 290, 66, 7860, 116, 7317, 141, 3606, 222, 12311]}, 'GLZN': {'d': 2, 'p': 95, 'gens': [33437664, 27303976, 31722912, 1041716, 6275294, 857414, 9431136, 66017952]}, 'Perm': {'d': 20, 'gens': [122000788359480360, 122000788874764809, 256450635740678409, 1394852659200, 122000787836928016, 16, 1037836800, 50520]}}, 'schur_multiplier': [2, 2, 4], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 4, 12], 'solvability_type': 7, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'C_4\\times C_{30}.D_4', 'transitive_degree': 960, 'wreath_data': None, 'wreath_product': False}
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gps_conj_classes • Show schema
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id: 143011488
{'aut_label': '1A', 'centralizer': '1.a1', 'counter': 1, 'group_counter': 4023, 'group_order': 960, 'label': '1A', 'order': 1, 'powers': [1, 1, 1], 'representative': 0, 'size': 1}
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id: 143011599
{'aut_label': '2A', 'centralizer': '1.a1', 'counter': 2, 'group_counter': 4023, 'group_order': 960, 'label': '2A', 'order': 2, 'powers': [1, 2, 2], 'representative': 8, 'size': 1}
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id: 143011710
{'aut_label': '2B', 'centralizer': '1.a1', 'counter': 3, 'group_counter': 4023, 'group_order': 960, 'label': '2B', 'order': 2, 'powers': [1, 3, 3], 'representative': 488, 'size': 1}
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id: 143011734
{'aut_label': '2C', 'centralizer': '1.a1', 'counter': 4, 'group_counter': 4023, 'group_order': 960, 'label': '2C', 'order': 2, 'powers': [1, 4, 4], 'representative': 2, 'size': 1}
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id: 143011745
{'aut_label': '2C', 'centralizer': '1.a1', 'counter': 5, 'group_counter': 4023, 'group_order': 960, 'label': '2D', 'order': 2, 'powers': [1, 5, 5], 'representative': 482, 'size': 1}
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id: 143011756
{'aut_label': '2E', 'centralizer': '1.a1', 'counter': 6, 'group_counter': 4023, 'group_order': 960, 'label': '2E', 'order': 2, 'powers': [1, 6, 6], 'representative': 10, 'size': 1}
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id: 143011767
{'aut_label': '2E', 'centralizer': '1.a1', 'counter': 7, 'group_counter': 4023, 'group_order': 960, 'label': '2F', 'order': 2, 'powers': [1, 7, 7], 'representative': 490, 'size': 1}
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id: 143011778
{'aut_label': '2G', 'centralizer': '1.a1', 'counter': 8, 'group_counter': 4023, 'group_order': 960, 'label': '2G', 'order': 2, 'powers': [1, 8, 8], 'representative': 480, 'size': 1}
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id: 143011789
{'aut_label': '3A1', 'centralizer': '1.a1', 'counter': 9, 'group_counter': 4023, 'group_order': 960, 'label': '3A1', 'order': 3, 'powers': [10, 1, 10], 'representative': 640, 'size': 1}
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id: 143011489
{'aut_label': '3A1', 'centralizer': '1.a1', 'counter': 10, 'group_counter': 4023, 'group_order': 960, 'label': '3A-1', 'order': 3, 'powers': [9, 1, 9], 'representative': 320, 'size': 1}
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id: 143011500
{'aut_label': '4A1', 'centralizer': '1.a1', 'counter': 11, 'group_counter': 4023, 'group_order': 960, 'label': '4A1', 'order': 4, 'powers': [8, 12, 11], 'representative': 240, 'size': 1}
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id: 143011511
{'aut_label': '4A1', 'centralizer': '1.a1', 'counter': 12, 'group_counter': 4023, 'group_order': 960, 'label': '4A-1', 'order': 4, 'powers': [8, 11, 12], 'representative': 720, 'size': 1}
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id: 143011522
{'aut_label': '4A1', 'centralizer': '1.a1', 'counter': 13, 'group_counter': 4023, 'group_order': 960, 'label': '4B1', 'order': 4, 'powers': [8, 14, 13], 'representative': 248, 'size': 1}
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id: 143011533
{'aut_label': '4A1', 'centralizer': '1.a1', 'counter': 14, 'group_counter': 4023, 'group_order': 960, 'label': '4B-1', 'order': 4, 'powers': [8, 13, 14], 'representative': 728, 'size': 1}
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id: 143011544
{'aut_label': '4A1', 'centralizer': '1.a1', 'counter': 15, 'group_counter': 4023, 'group_order': 960, 'label': '4C1', 'order': 4, 'powers': [8, 16, 15], 'representative': 242, 'size': 1}
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id: 143011555
{'aut_label': '4A1', 'centralizer': '1.a1', 'counter': 16, 'group_counter': 4023, 'group_order': 960, 'label': '4C-1', 'order': 4, 'powers': [8, 15, 16], 'representative': 722, 'size': 1}
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id: 143011566
{'aut_label': '4A1', 'centralizer': '1.a1', 'counter': 17, 'group_counter': 4023, 'group_order': 960, 'label': '4D1', 'order': 4, 'powers': [8, 18, 17], 'representative': 250, 'size': 1}
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id: 143011577
{'aut_label': '4A1', 'centralizer': '1.a1', 'counter': 18, 'group_counter': 4023, 'group_order': 960, 'label': '4D-1', 'order': 4, 'powers': [8, 17, 18], 'representative': 730, 'size': 1}
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id: 143011588
{'aut_label': '4E1', 'centralizer': '2.a1', 'counter': 19, 'group_counter': 4023, 'group_order': 960, 'label': '4E1', 'order': 4, 'powers': [4, 20, 19], 'representative': 3, 'size': 2}
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id: 143011600
{'aut_label': '4E1', 'centralizer': '2.a1', 'counter': 20, 'group_counter': 4023, 'group_order': 960, 'label': '4E-1', 'order': 4, 'powers': [4, 19, 20], 'representative': 1, 'size': 2}
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id: 143011611
{'aut_label': '4E1', 'centralizer': '2.a1', 'counter': 21, 'group_counter': 4023, 'group_order': 960, 'label': '4F1', 'order': 4, 'powers': [4, 22, 21], 'representative': 483, 'size': 2}
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id: 143011622
{'aut_label': '4E1', 'centralizer': '2.a1', 'counter': 22, 'group_counter': 4023, 'group_order': 960, 'label': '4F-1', 'order': 4, 'powers': [4, 21, 22], 'representative': 481, 'size': 2}
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id: 143011633
{'aut_label': '4E1', 'centralizer': '2.a1', 'counter': 23, 'group_counter': 4023, 'group_order': 960, 'label': '4G1', 'order': 4, 'powers': [5, 24, 23], 'representative': 243, 'size': 2}
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id: 143011644
{'aut_label': '4E1', 'centralizer': '2.a1', 'counter': 24, 'group_counter': 4023, 'group_order': 960, 'label': '4G-1', 'order': 4, 'powers': [5, 23, 24], 'representative': 721, 'size': 2}
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id: 143011655
{'aut_label': '4E1', 'centralizer': '2.a1', 'counter': 25, 'group_counter': 4023, 'group_order': 960, 'label': '4H1', 'order': 4, 'powers': [5, 26, 25], 'representative': 241, 'size': 2}
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id: 143011666
{'aut_label': '4E1', 'centralizer': '2.a1', 'counter': 26, 'group_counter': 4023, 'group_order': 960, 'label': '4H-1', 'order': 4, 'powers': [5, 25, 26], 'representative': 723, 'size': 2}
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id: 143011677
{'aut_label': '4I', 'centralizer': '10.b1', 'counter': 27, 'group_counter': 4023, 'group_order': 960, 'label': '4I', 'order': 4, 'powers': [2, 27, 27], 'representative': 396, 'size': 10}
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id: 143011688
{'aut_label': '4I', 'centralizer': '10.b1', 'counter': 28, 'group_counter': 4023, 'group_order': 960, 'label': '4J', 'order': 4, 'powers': [2, 28, 28], 'representative': 684, 'size': 10}
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id: 143011699
{'aut_label': '4I', 'centralizer': '10.b1', 'counter': 29, 'group_counter': 4023, 'group_order': 960, 'label': '4K', 'order': 4, 'powers': [2, 29, 29], 'representative': 398, 'size': 10}
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id: 143011711
{'aut_label': '4I', 'centralizer': '10.b1', 'counter': 30, 'group_counter': 4023, 'group_order': 960, 'label': '4L', 'order': 4, 'powers': [2, 30, 30], 'representative': 686, 'size': 10}
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id: 143011722
{'aut_label': '4M1', 'centralizer': '10.b1', 'counter': 31, 'group_counter': 4023, 'group_order': 960, 'label': '4M1', 'order': 4, 'powers': [3, 32, 31], 'representative': 828, 'size': 10}
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id: 143011726
{'aut_label': '4M1', 'centralizer': '10.b1', 'counter': 32, 'group_counter': 4023, 'group_order': 960, 'label': '4M-1', 'order': 4, 'powers': [3, 31, 32], 'representative': 340, 'size': 10}
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id: 143011727
{'aut_label': '4M1', 'centralizer': '10.b1', 'counter': 33, 'group_counter': 4023, 'group_order': 960, 'label': '4N1', 'order': 4, 'powers': [3, 34, 33], 'representative': 830, 'size': 10}
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id: 143011728
{'aut_label': '4M1', 'centralizer': '10.b1', 'counter': 34, 'group_counter': 4023, 'group_order': 960, 'label': '4N-1', 'order': 4, 'powers': [3, 33, 34], 'representative': 342, 'size': 10}
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id: 143011729
{'aut_label': '4O1', 'centralizer': '10.c1', 'counter': 35, 'group_counter': 4023, 'group_order': 960, 'label': '4O1', 'order': 4, 'powers': [4, 36, 35], 'representative': 391, 'size': 10}
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id: 143011730
{'aut_label': '4O1', 'centralizer': '10.c1', 'counter': 36, 'group_counter': 4023, 'group_order': 960, 'label': '4O-1', 'order': 4, 'powers': [4, 35, 36], 'representative': 389, 'size': 10}
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id: 143011731
{'aut_label': '4O1', 'centralizer': '10.c1', 'counter': 37, 'group_counter': 4023, 'group_order': 960, 'label': '4P1', 'order': 4, 'powers': [4, 38, 37], 'representative': 679, 'size': 10}
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id: 143011732
{'aut_label': '4O1', 'centralizer': '10.c1', 'counter': 38, 'group_counter': 4023, 'group_order': 960, 'label': '4P-1', 'order': 4, 'powers': [4, 37, 38], 'representative': 677, 'size': 10}
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id: 143011733
{'aut_label': '4O1', 'centralizer': '10.c1', 'counter': 39, 'group_counter': 4023, 'group_order': 960, 'label': '4Q1', 'order': 4, 'powers': [5, 40, 39], 'representative': 823, 'size': 10}
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id: 143011735
{'aut_label': '4O1', 'centralizer': '10.c1', 'counter': 40, 'group_counter': 4023, 'group_order': 960, 'label': '4Q-1', 'order': 4, 'powers': [5, 39, 40], 'representative': 341, 'size': 10}
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id: 143011736
{'aut_label': '4O1', 'centralizer': '10.c1', 'counter': 41, 'group_counter': 4023, 'group_order': 960, 'label': '4R1', 'order': 4, 'powers': [5, 42, 41], 'representative': 821, 'size': 10}
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id: 143011737
{'aut_label': '4O1', 'centralizer': '10.c1', 'counter': 42, 'group_counter': 4023, 'group_order': 960, 'label': '4R-1', 'order': 4, 'powers': [5, 41, 42], 'representative': 343, 'size': 10}
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id: 143011738
{'aut_label': '5A1', 'centralizer': '2.a1', 'counter': 43, 'group_counter': 4023, 'group_order': 960, 'label': '5A1', 'order': 5, 'powers': [44, 44, 1], 'representative': 384, 'size': 2}
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id: 143011739
{'aut_label': '5A1', 'centralizer': '2.a1', 'counter': 44, 'group_counter': 4023, 'group_order': 960, 'label': '5A2', 'order': 5, 'powers': [43, 43, 1], 'representative': 768, 'size': 2}
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id: 143011740
{'aut_label': '6A1', 'centralizer': '1.a1', 'counter': 45, 'group_counter': 4023, 'group_order': 960, 'label': '6A1', 'order': 6, 'powers': [9, 2, 46], 'representative': 328, 'size': 1}
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id: 143011741
{'aut_label': '6A1', 'centralizer': '1.a1', 'counter': 46, 'group_counter': 4023, 'group_order': 960, 'label': '6A-1', 'order': 6, 'powers': [10, 2, 45], 'representative': 648, 'size': 1}
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id: 143011742
{'aut_label': '6B1', 'centralizer': '1.a1', 'counter': 47, 'group_counter': 4023, 'group_order': 960, 'label': '6B1', 'order': 6, 'powers': [9, 3, 48], 'representative': 808, 'size': 1}
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id: 143011743
{'aut_label': '6B1', 'centralizer': '1.a1', 'counter': 48, 'group_counter': 4023, 'group_order': 960, 'label': '6B-1', 'order': 6, 'powers': [10, 3, 47], 'representative': 168, 'size': 1}
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id: 143011744
{'aut_label': '6C1', 'centralizer': '1.a1', 'counter': 49, 'group_counter': 4023, 'group_order': 960, 'label': '6C1', 'order': 6, 'powers': [9, 4, 50], 'representative': 322, 'size': 1}
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id: 143011746
{'aut_label': '6C1', 'centralizer': '1.a1', 'counter': 50, 'group_counter': 4023, 'group_order': 960, 'label': '6C-1', 'order': 6, 'powers': [10, 4, 49], 'representative': 642, 'size': 1}
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id: 143011747
{'aut_label': '6C1', 'centralizer': '1.a1', 'counter': 51, 'group_counter': 4023, 'group_order': 960, 'label': '6D1', 'order': 6, 'powers': [9, 5, 52], 'representative': 802, 'size': 1}
-
id: 143011748
{'aut_label': '6C1', 'centralizer': '1.a1', 'counter': 52, 'group_counter': 4023, 'group_order': 960, 'label': '6D-1', 'order': 6, 'powers': [10, 5, 51], 'representative': 162, 'size': 1}
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id: 143011749
{'aut_label': '6E1', 'centralizer': '1.a1', 'counter': 53, 'group_counter': 4023, 'group_order': 960, 'label': '6E1', 'order': 6, 'powers': [9, 6, 54], 'representative': 330, 'size': 1}
-
id: 143011750
{'aut_label': '6E1', 'centralizer': '1.a1', 'counter': 54, 'group_counter': 4023, 'group_order': 960, 'label': '6E-1', 'order': 6, 'powers': [10, 6, 53], 'representative': 650, 'size': 1}
-
id: 143011751
{'aut_label': '6E1', 'centralizer': '1.a1', 'counter': 55, 'group_counter': 4023, 'group_order': 960, 'label': '6F1', 'order': 6, 'powers': [10, 7, 56], 'representative': 170, 'size': 1}
-
id: 143011752
{'aut_label': '6E1', 'centralizer': '1.a1', 'counter': 56, 'group_counter': 4023, 'group_order': 960, 'label': '6F-1', 'order': 6, 'powers': [9, 7, 55], 'representative': 810, 'size': 1}
-
id: 143011753
{'aut_label': '6G1', 'centralizer': '1.a1', 'counter': 57, 'group_counter': 4023, 'group_order': 960, 'label': '6G1', 'order': 6, 'powers': [10, 8, 58], 'representative': 160, 'size': 1}
-
id: 143011754
{'aut_label': '6G1', 'centralizer': '1.a1', 'counter': 58, 'group_counter': 4023, 'group_order': 960, 'label': '6G-1', 'order': 6, 'powers': [9, 8, 57], 'representative': 800, 'size': 1}
-
id: 143011755
{'aut_label': '10A1', 'centralizer': '2.a1', 'counter': 59, 'group_counter': 4023, 'group_order': 960, 'label': '10A1', 'order': 10, 'powers': [43, 60, 2], 'representative': 200, 'size': 2}
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id: 143011757
{'aut_label': '10A1', 'centralizer': '2.a1', 'counter': 60, 'group_counter': 4023, 'group_order': 960, 'label': '10A3', 'order': 10, 'powers': [44, 59, 2], 'representative': 584, 'size': 2}
-
id: 143011758
{'aut_label': '10B1', 'centralizer': '2.a1', 'counter': 61, 'group_counter': 4023, 'group_order': 960, 'label': '10B1', 'order': 10, 'powers': [44, 62, 3], 'representative': 104, 'size': 2}
-
id: 143011759
{'aut_label': '10B1', 'centralizer': '2.a1', 'counter': 62, 'group_counter': 4023, 'group_order': 960, 'label': '10B3', 'order': 10, 'powers': [43, 61, 3], 'representative': 296, 'size': 2}
-
id: 143011760
{'aut_label': '10C1', 'centralizer': '2.a1', 'counter': 63, 'group_counter': 4023, 'group_order': 960, 'label': '10C1', 'order': 10, 'powers': [43, 64, 6], 'representative': 202, 'size': 2}
-
id: 143011761
{'aut_label': '10C1', 'centralizer': '2.a1', 'counter': 64, 'group_counter': 4023, 'group_order': 960, 'label': '10C3', 'order': 10, 'powers': [44, 63, 6], 'representative': 586, 'size': 2}
-
id: 143011762
{'aut_label': '10C1', 'centralizer': '2.a1', 'counter': 65, 'group_counter': 4023, 'group_order': 960, 'label': '10D1', 'order': 10, 'powers': [44, 66, 7], 'representative': 106, 'size': 2}
-
id: 143011763
{'aut_label': '10C1', 'centralizer': '2.a1', 'counter': 66, 'group_counter': 4023, 'group_order': 960, 'label': '10D3', 'order': 10, 'powers': [43, 65, 7], 'representative': 298, 'size': 2}
-
id: 143011764
{'aut_label': '10E1', 'centralizer': '2.a1', 'counter': 67, 'group_counter': 4023, 'group_order': 960, 'label': '10E1', 'order': 10, 'powers': [44, 68, 8], 'representative': 96, 'size': 2}
-
id: 143011765
{'aut_label': '10E1', 'centralizer': '2.a1', 'counter': 68, 'group_counter': 4023, 'group_order': 960, 'label': '10E3', 'order': 10, 'powers': [43, 67, 8], 'representative': 288, 'size': 2}
-
id: 143011766
{'aut_label': '10F1', 'centralizer': '2.a1', 'counter': 69, 'group_counter': 4023, 'group_order': 960, 'label': '10F1', 'order': 10, 'powers': [44, 70, 4], 'representative': 386, 'size': 2}
-
id: 143011768
{'aut_label': '10F1', 'centralizer': '2.a1', 'counter': 70, 'group_counter': 4023, 'group_order': 960, 'label': '10F3', 'order': 10, 'powers': [43, 69, 4], 'representative': 194, 'size': 2}
-
id: 143011769
{'aut_label': '10F1', 'centralizer': '2.a1', 'counter': 71, 'group_counter': 4023, 'group_order': 960, 'label': '10G1', 'order': 10, 'powers': [44, 72, 5], 'representative': 98, 'size': 2}
-
id: 143011770
{'aut_label': '10F1', 'centralizer': '2.a1', 'counter': 72, 'group_counter': 4023, 'group_order': 960, 'label': '10G3', 'order': 10, 'powers': [43, 71, 5], 'representative': 290, 'size': 2}
-
id: 143011771
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 73, 'group_counter': 4023, 'group_order': 960, 'label': '12A1', 'order': 12, 'powers': [57, 11, 75], 'representative': 80, 'size': 1}
-
id: 143011772
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 74, 'group_counter': 4023, 'group_order': 960, 'label': '12A-1', 'order': 12, 'powers': [58, 12, 76], 'representative': 880, 'size': 1}
-
id: 143011773
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 75, 'group_counter': 4023, 'group_order': 960, 'label': '12A5', 'order': 12, 'powers': [58, 11, 73], 'representative': 400, 'size': 1}
-
id: 143011774
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 76, 'group_counter': 4023, 'group_order': 960, 'label': '12A-5', 'order': 12, 'powers': [57, 12, 74], 'representative': 560, 'size': 1}
-
id: 143011775
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 77, 'group_counter': 4023, 'group_order': 960, 'label': '12B1', 'order': 12, 'powers': [57, 13, 79], 'representative': 88, 'size': 1}
-
id: 143011776
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 78, 'group_counter': 4023, 'group_order': 960, 'label': '12B-1', 'order': 12, 'powers': [58, 14, 80], 'representative': 888, 'size': 1}
-
id: 143011777
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 79, 'group_counter': 4023, 'group_order': 960, 'label': '12B5', 'order': 12, 'powers': [58, 13, 77], 'representative': 408, 'size': 1}
-
id: 143011779
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 80, 'group_counter': 4023, 'group_order': 960, 'label': '12B-5', 'order': 12, 'powers': [57, 14, 78], 'representative': 568, 'size': 1}
-
id: 143011780
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 81, 'group_counter': 4023, 'group_order': 960, 'label': '12C1', 'order': 12, 'powers': [57, 15, 83], 'representative': 82, 'size': 1}
-
id: 143011781
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 82, 'group_counter': 4023, 'group_order': 960, 'label': '12C-1', 'order': 12, 'powers': [58, 16, 84], 'representative': 882, 'size': 1}
-
id: 143011782
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 83, 'group_counter': 4023, 'group_order': 960, 'label': '12C5', 'order': 12, 'powers': [58, 15, 81], 'representative': 402, 'size': 1}
-
id: 143011783
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 84, 'group_counter': 4023, 'group_order': 960, 'label': '12C-5', 'order': 12, 'powers': [57, 16, 82], 'representative': 562, 'size': 1}
-
id: 143011784
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 85, 'group_counter': 4023, 'group_order': 960, 'label': '12D1', 'order': 12, 'powers': [57, 17, 87], 'representative': 90, 'size': 1}
-
id: 143011785
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 86, 'group_counter': 4023, 'group_order': 960, 'label': '12D-1', 'order': 12, 'powers': [58, 18, 88], 'representative': 890, 'size': 1}
-
id: 143011786
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 87, 'group_counter': 4023, 'group_order': 960, 'label': '12D5', 'order': 12, 'powers': [58, 17, 85], 'representative': 410, 'size': 1}
-
id: 143011787
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 88, 'group_counter': 4023, 'group_order': 960, 'label': '12D-5', 'order': 12, 'powers': [57, 18, 86], 'representative': 570, 'size': 1}
-
id: 143011788
{'aut_label': '12E1', 'centralizer': '2.a1', 'counter': 89, 'group_counter': 4023, 'group_order': 960, 'label': '12E1', 'order': 12, 'powers': [50, 19, 91], 'representative': 321, 'size': 2}
-
id: 143011790
{'aut_label': '12E1', 'centralizer': '2.a1', 'counter': 90, 'group_counter': 4023, 'group_order': 960, 'label': '12E-1', 'order': 12, 'powers': [49, 20, 92], 'representative': 643, 'size': 2}
-
id: 143011791
{'aut_label': '12E1', 'centralizer': '2.a1', 'counter': 91, 'group_counter': 4023, 'group_order': 960, 'label': '12E5', 'order': 12, 'powers': [49, 19, 89], 'representative': 641, 'size': 2}
-
id: 143011792
{'aut_label': '12E1', 'centralizer': '2.a1', 'counter': 92, 'group_counter': 4023, 'group_order': 960, 'label': '12E-5', 'order': 12, 'powers': [50, 20, 90], 'representative': 323, 'size': 2}
-
id: 143011793
{'aut_label': '12E1', 'centralizer': '2.a1', 'counter': 93, 'group_counter': 4023, 'group_order': 960, 'label': '12F1', 'order': 12, 'powers': [49, 21, 95], 'representative': 161, 'size': 2}
-
id: 143011794
{'aut_label': '12E1', 'centralizer': '2.a1', 'counter': 94, 'group_counter': 4023, 'group_order': 960, 'label': '12F-1', 'order': 12, 'powers': [50, 22, 96], 'representative': 803, 'size': 2}
-
id: 143011795
{'aut_label': '12E1', 'centralizer': '2.a1', 'counter': 95, 'group_counter': 4023, 'group_order': 960, 'label': '12F5', 'order': 12, 'powers': [50, 21, 93], 'representative': 801, 'size': 2}
-
id: 143011796
{'aut_label': '12E1', 'centralizer': '2.a1', 'counter': 96, 'group_counter': 4023, 'group_order': 960, 'label': '12F-5', 'order': 12, 'powers': [49, 22, 94], 'representative': 163, 'size': 2}
-
id: 143011797
{'aut_label': '12E1', 'centralizer': '2.a1', 'counter': 97, 'group_counter': 4023, 'group_order': 960, 'label': '12G1', 'order': 12, 'powers': [52, 23, 99], 'representative': 81, 'size': 2}
-
id: 143011798
{'aut_label': '12E1', 'centralizer': '2.a1', 'counter': 98, 'group_counter': 4023, 'group_order': 960, 'label': '12G-1', 'order': 12, 'powers': [51, 24, 100], 'representative': 883, 'size': 2}
-
id: 143011799
{'aut_label': '12E1', 'centralizer': '2.a1', 'counter': 99, 'group_counter': 4023, 'group_order': 960, 'label': '12G5', 'order': 12, 'powers': [51, 23, 97], 'representative': 401, 'size': 2}
-
id: 143011490
{'aut_label': '12E1', 'centralizer': '2.a1', 'counter': 100, 'group_counter': 4023, 'group_order': 960, 'label': '12G-5', 'order': 12, 'powers': [52, 24, 98], 'representative': 563, 'size': 2}
-
id: 143011491
{'aut_label': '12E1', 'centralizer': '2.a1', 'counter': 101, 'group_counter': 4023, 'group_order': 960, 'label': '12H1', 'order': 12, 'powers': [52, 25, 103], 'representative': 83, 'size': 2}
-
id: 143011492
{'aut_label': '12E1', 'centralizer': '2.a1', 'counter': 102, 'group_counter': 4023, 'group_order': 960, 'label': '12H-1', 'order': 12, 'powers': [51, 26, 104], 'representative': 881, 'size': 2}
-
id: 143011493
{'aut_label': '12E1', 'centralizer': '2.a1', 'counter': 103, 'group_counter': 4023, 'group_order': 960, 'label': '12H5', 'order': 12, 'powers': [51, 25, 101], 'representative': 403, 'size': 2}
-
id: 143011494
{'aut_label': '12E1', 'centralizer': '2.a1', 'counter': 104, 'group_counter': 4023, 'group_order': 960, 'label': '12H-5', 'order': 12, 'powers': [52, 26, 102], 'representative': 561, 'size': 2}
-
id: 143011495
{'aut_label': '12I1', 'centralizer': '10.b1', 'counter': 105, 'group_counter': 4023, 'group_order': 960, 'label': '12I1', 'order': 12, 'powers': [45, 27, 106], 'representative': 68, 'size': 10}
-
id: 143011496
{'aut_label': '12I1', 'centralizer': '10.b1', 'counter': 106, 'group_counter': 4023, 'group_order': 960, 'label': '12I-1', 'order': 12, 'powers': [46, 27, 105], 'representative': 132, 'size': 10}
-
id: 143011497
{'aut_label': '12I1', 'centralizer': '10.b1', 'counter': 107, 'group_counter': 4023, 'group_order': 960, 'label': '12J1', 'order': 12, 'powers': [46, 28, 108], 'representative': 36, 'size': 10}
-
id: 143011498
{'aut_label': '12I1', 'centralizer': '10.b1', 'counter': 108, 'group_counter': 4023, 'group_order': 960, 'label': '12J-1', 'order': 12, 'powers': [45, 28, 107], 'representative': 164, 'size': 10}
-
id: 143011499
{'aut_label': '12I1', 'centralizer': '10.b1', 'counter': 109, 'group_counter': 4023, 'group_order': 960, 'label': '12K1', 'order': 12, 'powers': [45, 29, 110], 'representative': 70, 'size': 10}
-
id: 143011501
{'aut_label': '12I1', 'centralizer': '10.b1', 'counter': 110, 'group_counter': 4023, 'group_order': 960, 'label': '12K-1', 'order': 12, 'powers': [46, 29, 109], 'representative': 134, 'size': 10}
-
id: 143011502
{'aut_label': '12I1', 'centralizer': '10.b1', 'counter': 111, 'group_counter': 4023, 'group_order': 960, 'label': '12L1', 'order': 12, 'powers': [46, 30, 112], 'representative': 38, 'size': 10}
-
id: 143011503
{'aut_label': '12I1', 'centralizer': '10.b1', 'counter': 112, 'group_counter': 4023, 'group_order': 960, 'label': '12L-1', 'order': 12, 'powers': [45, 30, 111], 'representative': 166, 'size': 10}
-
id: 143011504
{'aut_label': '12M1', 'centralizer': '10.b1', 'counter': 113, 'group_counter': 4023, 'group_order': 960, 'label': '12M1', 'order': 12, 'powers': [47, 31, 115], 'representative': 20, 'size': 10}
-
id: 143011505
{'aut_label': '12M1', 'centralizer': '10.b1', 'counter': 114, 'group_counter': 4023, 'group_order': 960, 'label': '12M-1', 'order': 12, 'powers': [48, 32, 116], 'representative': 180, 'size': 10}
-
id: 143011506
{'aut_label': '12M1', 'centralizer': '10.b1', 'counter': 115, 'group_counter': 4023, 'group_order': 960, 'label': '12M5', 'order': 12, 'powers': [48, 31, 113], 'representative': 84, 'size': 10}
-
id: 143011507
{'aut_label': '12M1', 'centralizer': '10.b1', 'counter': 116, 'group_counter': 4023, 'group_order': 960, 'label': '12M-5', 'order': 12, 'powers': [47, 32, 114], 'representative': 116, 'size': 10}
-
id: 143011508
{'aut_label': '12M1', 'centralizer': '10.b1', 'counter': 117, 'group_counter': 4023, 'group_order': 960, 'label': '12N1', 'order': 12, 'powers': [47, 33, 119], 'representative': 22, 'size': 10}
-
id: 143011509
{'aut_label': '12M1', 'centralizer': '10.b1', 'counter': 118, 'group_counter': 4023, 'group_order': 960, 'label': '12N-1', 'order': 12, 'powers': [48, 34, 120], 'representative': 182, 'size': 10}
-
id: 143011510
{'aut_label': '12M1', 'centralizer': '10.b1', 'counter': 119, 'group_counter': 4023, 'group_order': 960, 'label': '12N5', 'order': 12, 'powers': [48, 33, 117], 'representative': 86, 'size': 10}
-
id: 143011512
{'aut_label': '12M1', 'centralizer': '10.b1', 'counter': 120, 'group_counter': 4023, 'group_order': 960, 'label': '12N-5', 'order': 12, 'powers': [47, 34, 118], 'representative': 118, 'size': 10}
-
id: 143011513
{'aut_label': '12O1', 'centralizer': '10.c1', 'counter': 121, 'group_counter': 4023, 'group_order': 960, 'label': '12O1', 'order': 12, 'powers': [49, 35, 123], 'representative': 69, 'size': 10}
-
id: 143011514
{'aut_label': '12O1', 'centralizer': '10.c1', 'counter': 122, 'group_counter': 4023, 'group_order': 960, 'label': '12O-1', 'order': 12, 'powers': [50, 36, 124], 'representative': 135, 'size': 10}
-
id: 143011515
{'aut_label': '12O1', 'centralizer': '10.c1', 'counter': 123, 'group_counter': 4023, 'group_order': 960, 'label': '12O5', 'order': 12, 'powers': [50, 35, 121], 'representative': 133, 'size': 10}
-
id: 143011516
{'aut_label': '12O1', 'centralizer': '10.c1', 'counter': 124, 'group_counter': 4023, 'group_order': 960, 'label': '12O-5', 'order': 12, 'powers': [49, 36, 122], 'representative': 71, 'size': 10}
-
id: 143011517
{'aut_label': '12O1', 'centralizer': '10.c1', 'counter': 125, 'group_counter': 4023, 'group_order': 960, 'label': '12P1', 'order': 12, 'powers': [50, 37, 127], 'representative': 37, 'size': 10}
-
id: 143011518
{'aut_label': '12O1', 'centralizer': '10.c1', 'counter': 126, 'group_counter': 4023, 'group_order': 960, 'label': '12P-1', 'order': 12, 'powers': [49, 38, 128], 'representative': 167, 'size': 10}
-
id: 143011519
{'aut_label': '12O1', 'centralizer': '10.c1', 'counter': 127, 'group_counter': 4023, 'group_order': 960, 'label': '12P5', 'order': 12, 'powers': [49, 37, 125], 'representative': 165, 'size': 10}
-
id: 143011520
{'aut_label': '12O1', 'centralizer': '10.c1', 'counter': 128, 'group_counter': 4023, 'group_order': 960, 'label': '12P-5', 'order': 12, 'powers': [50, 38, 126], 'representative': 39, 'size': 10}
-
id: 143011521
{'aut_label': '12O1', 'centralizer': '10.c1', 'counter': 129, 'group_counter': 4023, 'group_order': 960, 'label': '12Q1', 'order': 12, 'powers': [51, 39, 131], 'representative': 21, 'size': 10}
-
id: 143011523
{'aut_label': '12O1', 'centralizer': '10.c1', 'counter': 130, 'group_counter': 4023, 'group_order': 960, 'label': '12Q-1', 'order': 12, 'powers': [52, 40, 132], 'representative': 183, 'size': 10}
-
id: 143011524
{'aut_label': '12O1', 'centralizer': '10.c1', 'counter': 131, 'group_counter': 4023, 'group_order': 960, 'label': '12Q5', 'order': 12, 'powers': [52, 39, 129], 'representative': 85, 'size': 10}
-
id: 143011525
{'aut_label': '12O1', 'centralizer': '10.c1', 'counter': 132, 'group_counter': 4023, 'group_order': 960, 'label': '12Q-5', 'order': 12, 'powers': [51, 40, 130], 'representative': 119, 'size': 10}
-
id: 143011526
{'aut_label': '12O1', 'centralizer': '10.c1', 'counter': 133, 'group_counter': 4023, 'group_order': 960, 'label': '12R1', 'order': 12, 'powers': [51, 41, 135], 'representative': 23, 'size': 10}
-
id: 143011527
{'aut_label': '12O1', 'centralizer': '10.c1', 'counter': 134, 'group_counter': 4023, 'group_order': 960, 'label': '12R-1', 'order': 12, 'powers': [52, 42, 136], 'representative': 181, 'size': 10}
-
id: 143011528
{'aut_label': '12O1', 'centralizer': '10.c1', 'counter': 135, 'group_counter': 4023, 'group_order': 960, 'label': '12R5', 'order': 12, 'powers': [52, 41, 133], 'representative': 87, 'size': 10}
-
id: 143011529
{'aut_label': '12O1', 'centralizer': '10.c1', 'counter': 136, 'group_counter': 4023, 'group_order': 960, 'label': '12R-5', 'order': 12, 'powers': [51, 42, 134], 'representative': 117, 'size': 10}
-
id: 143011530
{'aut_label': '15A1', 'centralizer': '2.a1', 'counter': 137, 'group_counter': 4023, 'group_order': 960, 'label': '15A1', 'order': 15, 'powers': [139, 43, 9], 'representative': 128, 'size': 2}
-
id: 143011531
{'aut_label': '15A1', 'centralizer': '2.a1', 'counter': 138, 'group_counter': 4023, 'group_order': 960, 'label': '15A-1', 'order': 15, 'powers': [140, 43, 10], 'representative': 832, 'size': 2}
-
id: 143011532
{'aut_label': '15A1', 'centralizer': '2.a1', 'counter': 139, 'group_counter': 4023, 'group_order': 960, 'label': '15A2', 'order': 15, 'powers': [137, 44, 10], 'representative': 256, 'size': 2}
-
id: 143011534
{'aut_label': '15A1', 'centralizer': '2.a1', 'counter': 140, 'group_counter': 4023, 'group_order': 960, 'label': '15A-2', 'order': 15, 'powers': [138, 44, 9], 'representative': 704, 'size': 2}
-
id: 143011535
{'aut_label': '20A1', 'centralizer': '2.a1', 'counter': 141, 'group_counter': 4023, 'group_order': 960, 'label': '20A1', 'order': 20, 'powers': [67, 143, 11], 'representative': 48, 'size': 2}
-
id: 143011536
{'aut_label': '20A1', 'centralizer': '2.a1', 'counter': 142, 'group_counter': 4023, 'group_order': 960, 'label': '20A-1', 'order': 20, 'powers': [67, 144, 12], 'representative': 912, 'size': 2}
-
id: 143011537
{'aut_label': '20A1', 'centralizer': '2.a1', 'counter': 143, 'group_counter': 4023, 'group_order': 960, 'label': '20A3', 'order': 20, 'powers': [68, 141, 12], 'representative': 144, 'size': 2}
-
id: 143011538
{'aut_label': '20A1', 'centralizer': '2.a1', 'counter': 144, 'group_counter': 4023, 'group_order': 960, 'label': '20A-3', 'order': 20, 'powers': [68, 142, 11], 'representative': 816, 'size': 2}
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id: 143011539
{'aut_label': '20A1', 'centralizer': '2.a1', 'counter': 145, 'group_counter': 4023, 'group_order': 960, 'label': '20B1', 'order': 20, 'powers': [67, 147, 13], 'representative': 56, 'size': 2}
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id: 143011540
{'aut_label': '20A1', 'centralizer': '2.a1', 'counter': 146, 'group_counter': 4023, 'group_order': 960, 'label': '20B-1', 'order': 20, 'powers': [67, 148, 14], 'representative': 920, 'size': 2}
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id: 143011541
{'aut_label': '20A1', 'centralizer': '2.a1', 'counter': 147, 'group_counter': 4023, 'group_order': 960, 'label': '20B3', 'order': 20, 'powers': [68, 145, 14], 'representative': 152, 'size': 2}
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id: 143011542
{'aut_label': '20A1', 'centralizer': '2.a1', 'counter': 148, 'group_counter': 4023, 'group_order': 960, 'label': '20B-3', 'order': 20, 'powers': [68, 146, 13], 'representative': 824, 'size': 2}
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id: 143011543
{'aut_label': '20A1', 'centralizer': '2.a1', 'counter': 149, 'group_counter': 4023, 'group_order': 960, 'label': '20C1', 'order': 20, 'powers': [67, 151, 15], 'representative': 50, 'size': 2}
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id: 143011545
{'aut_label': '20A1', 'centralizer': '2.a1', 'counter': 150, 'group_counter': 4023, 'group_order': 960, 'label': '20C-1', 'order': 20, 'powers': [67, 152, 16], 'representative': 914, 'size': 2}
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id: 143011546
{'aut_label': '20A1', 'centralizer': '2.a1', 'counter': 151, 'group_counter': 4023, 'group_order': 960, 'label': '20C3', 'order': 20, 'powers': [68, 149, 16], 'representative': 146, 'size': 2}
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id: 143011547
{'aut_label': '20A1', 'centralizer': '2.a1', 'counter': 152, 'group_counter': 4023, 'group_order': 960, 'label': '20C-3', 'order': 20, 'powers': [68, 150, 15], 'representative': 818, 'size': 2}
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id: 143011548
{'aut_label': '20A1', 'centralizer': '2.a1', 'counter': 153, 'group_counter': 4023, 'group_order': 960, 'label': '20D1', 'order': 20, 'powers': [67, 155, 17], 'representative': 58, 'size': 2}
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id: 143011549
{'aut_label': '20A1', 'centralizer': '2.a1', 'counter': 154, 'group_counter': 4023, 'group_order': 960, 'label': '20D-1', 'order': 20, 'powers': [67, 156, 18], 'representative': 922, 'size': 2}
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id: 143011550
{'aut_label': '20A1', 'centralizer': '2.a1', 'counter': 155, 'group_counter': 4023, 'group_order': 960, 'label': '20D3', 'order': 20, 'powers': [68, 153, 18], 'representative': 154, 'size': 2}
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id: 143011551
{'aut_label': '20A1', 'centralizer': '2.a1', 'counter': 156, 'group_counter': 4023, 'group_order': 960, 'label': '20D-3', 'order': 20, 'powers': [68, 154, 17], 'representative': 826, 'size': 2}
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id: 143011552
{'aut_label': '20E1', 'centralizer': '2.a1', 'counter': 157, 'group_counter': 4023, 'group_order': 960, 'label': '20E1', 'order': 20, 'powers': [69, 159, 19], 'representative': 195, 'size': 2}
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id: 143011553
{'aut_label': '20E1', 'centralizer': '2.a1', 'counter': 158, 'group_counter': 4023, 'group_order': 960, 'label': '20E-1', 'order': 20, 'powers': [69, 160, 20], 'representative': 769, 'size': 2}
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id: 143011554
{'aut_label': '20E1', 'centralizer': '2.a1', 'counter': 159, 'group_counter': 4023, 'group_order': 960, 'label': '20E3', 'order': 20, 'powers': [70, 163, 20], 'representative': 577, 'size': 2}
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id: 143011556
{'aut_label': '20E1', 'centralizer': '2.a1', 'counter': 160, 'group_counter': 4023, 'group_order': 960, 'label': '20E-3', 'order': 20, 'powers': [70, 164, 19], 'representative': 387, 'size': 2}
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id: 143011557
{'aut_label': '20E1', 'centralizer': '2.a1', 'counter': 161, 'group_counter': 4023, 'group_order': 960, 'label': '20E7', 'order': 20, 'powers': [70, 157, 20], 'representative': 385, 'size': 2}
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id: 143011558
{'aut_label': '20E1', 'centralizer': '2.a1', 'counter': 162, 'group_counter': 4023, 'group_order': 960, 'label': '20E-7', 'order': 20, 'powers': [70, 158, 19], 'representative': 579, 'size': 2}
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id: 143011559
{'aut_label': '20E1', 'centralizer': '2.a1', 'counter': 163, 'group_counter': 4023, 'group_order': 960, 'label': '20E9', 'order': 20, 'powers': [69, 161, 19], 'representative': 771, 'size': 2}
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id: 143011560
{'aut_label': '20E1', 'centralizer': '2.a1', 'counter': 164, 'group_counter': 4023, 'group_order': 960, 'label': '20E-9', 'order': 20, 'powers': [69, 162, 20], 'representative': 193, 'size': 2}
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id: 143011561
{'aut_label': '20E1', 'centralizer': '2.a1', 'counter': 165, 'group_counter': 4023, 'group_order': 960, 'label': '20F1', 'order': 20, 'powers': [70, 167, 21], 'representative': 99, 'size': 2}
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id: 143011562
{'aut_label': '20E1', 'centralizer': '2.a1', 'counter': 166, 'group_counter': 4023, 'group_order': 960, 'label': '20F-1', 'order': 20, 'powers': [70, 168, 22], 'representative': 865, 'size': 2}
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id: 143011563
{'aut_label': '20E1', 'centralizer': '2.a1', 'counter': 167, 'group_counter': 4023, 'group_order': 960, 'label': '20F3', 'order': 20, 'powers': [69, 171, 22], 'representative': 289, 'size': 2}
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id: 143011564
{'aut_label': '20E1', 'centralizer': '2.a1', 'counter': 168, 'group_counter': 4023, 'group_order': 960, 'label': '20F-3', 'order': 20, 'powers': [69, 172, 21], 'representative': 675, 'size': 2}
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id: 143011565
{'aut_label': '20E1', 'centralizer': '2.a1', 'counter': 169, 'group_counter': 4023, 'group_order': 960, 'label': '20F7', 'order': 20, 'powers': [69, 165, 22], 'representative': 673, 'size': 2}
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id: 143011567
{'aut_label': '20E1', 'centralizer': '2.a1', 'counter': 170, 'group_counter': 4023, 'group_order': 960, 'label': '20F-7', 'order': 20, 'powers': [69, 166, 21], 'representative': 291, 'size': 2}
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id: 143011568
{'aut_label': '20E1', 'centralizer': '2.a1', 'counter': 171, 'group_counter': 4023, 'group_order': 960, 'label': '20F9', 'order': 20, 'powers': [70, 169, 21], 'representative': 867, 'size': 2}
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id: 143011569
{'aut_label': '20E1', 'centralizer': '2.a1', 'counter': 172, 'group_counter': 4023, 'group_order': 960, 'label': '20F-9', 'order': 20, 'powers': [70, 170, 22], 'representative': 97, 'size': 2}
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id: 143011570
{'aut_label': '20E1', 'centralizer': '2.a1', 'counter': 173, 'group_counter': 4023, 'group_order': 960, 'label': '20G1', 'order': 20, 'powers': [71, 175, 23], 'representative': 51, 'size': 2}
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id: 143011571
{'aut_label': '20E1', 'centralizer': '2.a1', 'counter': 174, 'group_counter': 4023, 'group_order': 960, 'label': '20G-1', 'order': 20, 'powers': [71, 176, 24], 'representative': 913, 'size': 2}
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id: 143011572
{'aut_label': '20E1', 'centralizer': '2.a1', 'counter': 175, 'group_counter': 4023, 'group_order': 960, 'label': '20G3', 'order': 20, 'powers': [72, 179, 24], 'representative': 145, 'size': 2}
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id: 143011573
{'aut_label': '20E1', 'centralizer': '2.a1', 'counter': 176, 'group_counter': 4023, 'group_order': 960, 'label': '20G-3', 'order': 20, 'powers': [72, 180, 23], 'representative': 819, 'size': 2}
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id: 143011574
{'aut_label': '20E1', 'centralizer': '2.a1', 'counter': 177, 'group_counter': 4023, 'group_order': 960, 'label': '20G7', 'order': 20, 'powers': [72, 173, 24], 'representative': 337, 'size': 2}
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id: 143011575
{'aut_label': '20E1', 'centralizer': '2.a1', 'counter': 178, 'group_counter': 4023, 'group_order': 960, 'label': '20G-7', 'order': 20, 'powers': [72, 174, 23], 'representative': 627, 'size': 2}
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id: 143011576
{'aut_label': '20E1', 'centralizer': '2.a1', 'counter': 179, 'group_counter': 4023, 'group_order': 960, 'label': '20G9', 'order': 20, 'powers': [71, 177, 23], 'representative': 435, 'size': 2}
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id: 143011578
{'aut_label': '20E1', 'centralizer': '2.a1', 'counter': 180, 'group_counter': 4023, 'group_order': 960, 'label': '20G-9', 'order': 20, 'powers': [71, 178, 24], 'representative': 529, 'size': 2}
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id: 143011579
{'aut_label': '20E1', 'centralizer': '2.a1', 'counter': 181, 'group_counter': 4023, 'group_order': 960, 'label': '20H1', 'order': 20, 'powers': [71, 183, 25], 'representative': 49, 'size': 2}
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id: 143011580
{'aut_label': '20E1', 'centralizer': '2.a1', 'counter': 182, 'group_counter': 4023, 'group_order': 960, 'label': '20H-1', 'order': 20, 'powers': [71, 184, 26], 'representative': 915, 'size': 2}
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id: 143011581
{'aut_label': '20E1', 'centralizer': '2.a1', 'counter': 183, 'group_counter': 4023, 'group_order': 960, 'label': '20H3', 'order': 20, 'powers': [72, 187, 26], 'representative': 147, 'size': 2}
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id: 143011582
{'aut_label': '20E1', 'centralizer': '2.a1', 'counter': 184, 'group_counter': 4023, 'group_order': 960, 'label': '20H-3', 'order': 20, 'powers': [72, 188, 25], 'representative': 817, 'size': 2}
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id: 143011583
{'aut_label': '20E1', 'centralizer': '2.a1', 'counter': 185, 'group_counter': 4023, 'group_order': 960, 'label': '20H7', 'order': 20, 'powers': [72, 181, 26], 'representative': 339, 'size': 2}
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id: 143011584
{'aut_label': '20E1', 'centralizer': '2.a1', 'counter': 186, 'group_counter': 4023, 'group_order': 960, 'label': '20H-7', 'order': 20, 'powers': [72, 182, 25], 'representative': 625, 'size': 2}
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id: 143011585
{'aut_label': '20E1', 'centralizer': '2.a1', 'counter': 187, 'group_counter': 4023, 'group_order': 960, 'label': '20H9', 'order': 20, 'powers': [71, 185, 25], 'representative': 433, 'size': 2}
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id: 143011586
{'aut_label': '20E1', 'centralizer': '2.a1', 'counter': 188, 'group_counter': 4023, 'group_order': 960, 'label': '20H-9', 'order': 20, 'powers': [71, 186, 26], 'representative': 531, 'size': 2}
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id: 143011587
{'aut_label': '30A1', 'centralizer': '2.a1', 'counter': 189, 'group_counter': 4023, 'group_order': 960, 'label': '30A1', 'order': 30, 'powers': [137, 59, 45], 'representative': 72, 'size': 2}
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id: 143011589
{'aut_label': '30A1', 'centralizer': '2.a1', 'counter': 190, 'group_counter': 4023, 'group_order': 960, 'label': '30A-1', 'order': 30, 'powers': [138, 59, 46], 'representative': 712, 'size': 2}
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id: 143011590
{'aut_label': '30A1', 'centralizer': '2.a1', 'counter': 191, 'group_counter': 4023, 'group_order': 960, 'label': '30A7', 'order': 30, 'powers': [140, 60, 45], 'representative': 456, 'size': 2}
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id: 143011591
{'aut_label': '30A1', 'centralizer': '2.a1', 'counter': 192, 'group_counter': 4023, 'group_order': 960, 'label': '30A-7', 'order': 30, 'powers': [139, 60, 46], 'representative': 136, 'size': 2}
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id: 143011592
{'aut_label': '30B1', 'centralizer': '2.a1', 'counter': 193, 'group_counter': 4023, 'group_order': 960, 'label': '30B1', 'order': 30, 'powers': [139, 61, 48], 'representative': 40, 'size': 2}
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id: 143011593
{'aut_label': '30B1', 'centralizer': '2.a1', 'counter': 194, 'group_counter': 4023, 'group_order': 960, 'label': '30B-1', 'order': 30, 'powers': [140, 61, 47], 'representative': 360, 'size': 2}
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id: 143011594
{'aut_label': '30B1', 'centralizer': '2.a1', 'counter': 195, 'group_counter': 4023, 'group_order': 960, 'label': '30B7', 'order': 30, 'powers': [138, 62, 48], 'representative': 232, 'size': 2}
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id: 143011595
{'aut_label': '30B1', 'centralizer': '2.a1', 'counter': 196, 'group_counter': 4023, 'group_order': 960, 'label': '30B-7', 'order': 30, 'powers': [137, 62, 47], 'representative': 552, 'size': 2}
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id: 143011596
{'aut_label': '30C1', 'centralizer': '2.a1', 'counter': 197, 'group_counter': 4023, 'group_order': 960, 'label': '30C1', 'order': 30, 'powers': [137, 63, 53], 'representative': 74, 'size': 2}
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id: 143011597
{'aut_label': '30C1', 'centralizer': '2.a1', 'counter': 198, 'group_counter': 4023, 'group_order': 960, 'label': '30C-1', 'order': 30, 'powers': [138, 63, 54], 'representative': 714, 'size': 2}
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id: 143011598
{'aut_label': '30C1', 'centralizer': '2.a1', 'counter': 199, 'group_counter': 4023, 'group_order': 960, 'label': '30C7', 'order': 30, 'powers': [140, 64, 53], 'representative': 458, 'size': 2}
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id: 143011601
{'aut_label': '30C1', 'centralizer': '2.a1', 'counter': 200, 'group_counter': 4023, 'group_order': 960, 'label': '30C-7', 'order': 30, 'powers': [139, 64, 54], 'representative': 138, 'size': 2}
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id: 143011602
{'aut_label': '30C1', 'centralizer': '2.a1', 'counter': 201, 'group_counter': 4023, 'group_order': 960, 'label': '30D1', 'order': 30, 'powers': [139, 65, 55], 'representative': 42, 'size': 2}
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id: 143011603
{'aut_label': '30C1', 'centralizer': '2.a1', 'counter': 202, 'group_counter': 4023, 'group_order': 960, 'label': '30D-1', 'order': 30, 'powers': [140, 65, 56], 'representative': 362, 'size': 2}
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id: 143011604
{'aut_label': '30C1', 'centralizer': '2.a1', 'counter': 203, 'group_counter': 4023, 'group_order': 960, 'label': '30D7', 'order': 30, 'powers': [138, 66, 55], 'representative': 234, 'size': 2}
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id: 143011605
{'aut_label': '30C1', 'centralizer': '2.a1', 'counter': 204, 'group_counter': 4023, 'group_order': 960, 'label': '30D-7', 'order': 30, 'powers': [137, 66, 56], 'representative': 554, 'size': 2}
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id: 143011606
{'aut_label': '30E1', 'centralizer': '2.a1', 'counter': 205, 'group_counter': 4023, 'group_order': 960, 'label': '30E1', 'order': 30, 'powers': [139, 67, 57], 'representative': 32, 'size': 2}
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id: 143011607
{'aut_label': '30E1', 'centralizer': '2.a1', 'counter': 206, 'group_counter': 4023, 'group_order': 960, 'label': '30E-1', 'order': 30, 'powers': [140, 67, 58], 'representative': 928, 'size': 2}
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id: 143011608
{'aut_label': '30E1', 'centralizer': '2.a1', 'counter': 207, 'group_counter': 4023, 'group_order': 960, 'label': '30E7', 'order': 30, 'powers': [138, 68, 57], 'representative': 224, 'size': 2}
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id: 143011609
{'aut_label': '30E1', 'centralizer': '2.a1', 'counter': 208, 'group_counter': 4023, 'group_order': 960, 'label': '30E-7', 'order': 30, 'powers': [137, 68, 58], 'representative': 736, 'size': 2}
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id: 143011610
{'aut_label': '30F1', 'centralizer': '2.a1', 'counter': 209, 'group_counter': 4023, 'group_order': 960, 'label': '30F1', 'order': 30, 'powers': [139, 69, 50], 'representative': 130, 'size': 2}
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id: 143011612
{'aut_label': '30F1', 'centralizer': '2.a1', 'counter': 210, 'group_counter': 4023, 'group_order': 960, 'label': '30F-1', 'order': 30, 'powers': [140, 69, 49], 'representative': 834, 'size': 2}
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id: 143011613
{'aut_label': '30F1', 'centralizer': '2.a1', 'counter': 211, 'group_counter': 4023, 'group_order': 960, 'label': '30F7', 'order': 30, 'powers': [138, 70, 50], 'representative': 898, 'size': 2}
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id: 143011614
{'aut_label': '30F1', 'centralizer': '2.a1', 'counter': 212, 'group_counter': 4023, 'group_order': 960, 'label': '30F-7', 'order': 30, 'powers': [137, 70, 49], 'representative': 66, 'size': 2}
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id: 143011615
{'aut_label': '30F1', 'centralizer': '2.a1', 'counter': 213, 'group_counter': 4023, 'group_order': 960, 'label': '30G1', 'order': 30, 'powers': [139, 71, 52], 'representative': 34, 'size': 2}
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id: 143011616
{'aut_label': '30F1', 'centralizer': '2.a1', 'counter': 214, 'group_counter': 4023, 'group_order': 960, 'label': '30G-1', 'order': 30, 'powers': [140, 71, 51], 'representative': 930, 'size': 2}
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id: 143011617
{'aut_label': '30F1', 'centralizer': '2.a1', 'counter': 215, 'group_counter': 4023, 'group_order': 960, 'label': '30G7', 'order': 30, 'powers': [138, 72, 52], 'representative': 226, 'size': 2}
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id: 143011618
{'aut_label': '30F1', 'centralizer': '2.a1', 'counter': 216, 'group_counter': 4023, 'group_order': 960, 'label': '30G-7', 'order': 30, 'powers': [137, 72, 51], 'representative': 738, 'size': 2}
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id: 143011619
{'aut_label': '60A1', 'centralizer': '2.a1', 'counter': 217, 'group_counter': 4023, 'group_order': 960, 'label': '60A1', 'order': 60, 'powers': [205, 141, 73], 'representative': 16, 'size': 2}
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id: 143011620
{'aut_label': '60A1', 'centralizer': '2.a1', 'counter': 218, 'group_counter': 4023, 'group_order': 960, 'label': '60A-1', 'order': 60, 'powers': [206, 142, 74], 'representative': 176, 'size': 2}
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id: 143011621
{'aut_label': '60A1', 'centralizer': '2.a1', 'counter': 219, 'group_counter': 4023, 'group_order': 960, 'label': '60A7', 'order': 60, 'powers': [207, 143, 76], 'representative': 112, 'size': 2}
-
id: 143011623
{'aut_label': '60A1', 'centralizer': '2.a1', 'counter': 220, 'group_counter': 4023, 'group_order': 960, 'label': '60A-7', 'order': 60, 'powers': [208, 144, 75], 'representative': 272, 'size': 2}
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id: 143011624
{'aut_label': '60A1', 'centralizer': '2.a1', 'counter': 221, 'group_counter': 4023, 'group_order': 960, 'label': '60A13', 'order': 60, 'powers': [207, 144, 73], 'representative': 208, 'size': 2}
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id: 143011625
{'aut_label': '60A1', 'centralizer': '2.a1', 'counter': 222, 'group_counter': 4023, 'group_order': 960, 'label': '60A-13', 'order': 60, 'powers': [208, 143, 74], 'representative': 368, 'size': 2}
-
id: 143011626
{'aut_label': '60A1', 'centralizer': '2.a1', 'counter': 223, 'group_counter': 4023, 'group_order': 960, 'label': '60A19', 'order': 60, 'powers': [205, 142, 76], 'representative': 304, 'size': 2}
-
id: 143011627
{'aut_label': '60A1', 'centralizer': '2.a1', 'counter': 224, 'group_counter': 4023, 'group_order': 960, 'label': '60A-19', 'order': 60, 'powers': [206, 141, 75], 'representative': 464, 'size': 2}
-
id: 143011628
{'aut_label': '60A1', 'centralizer': '2.a1', 'counter': 225, 'group_counter': 4023, 'group_order': 960, 'label': '60B1', 'order': 60, 'powers': [205, 145, 77], 'representative': 24, 'size': 2}
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id: 143011629
{'aut_label': '60A1', 'centralizer': '2.a1', 'counter': 226, 'group_counter': 4023, 'group_order': 960, 'label': '60B-1', 'order': 60, 'powers': [206, 146, 78], 'representative': 184, 'size': 2}
-
id: 143011630
{'aut_label': '60A1', 'centralizer': '2.a1', 'counter': 227, 'group_counter': 4023, 'group_order': 960, 'label': '60B7', 'order': 60, 'powers': [207, 147, 80], 'representative': 120, 'size': 2}
-
id: 143011631
{'aut_label': '60A1', 'centralizer': '2.a1', 'counter': 228, 'group_counter': 4023, 'group_order': 960, 'label': '60B-7', 'order': 60, 'powers': [208, 148, 79], 'representative': 280, 'size': 2}
-
id: 143011632
{'aut_label': '60A1', 'centralizer': '2.a1', 'counter': 229, 'group_counter': 4023, 'group_order': 960, 'label': '60B13', 'order': 60, 'powers': [207, 148, 77], 'representative': 216, 'size': 2}
-
id: 143011634
{'aut_label': '60A1', 'centralizer': '2.a1', 'counter': 230, 'group_counter': 4023, 'group_order': 960, 'label': '60B-13', 'order': 60, 'powers': [208, 147, 78], 'representative': 376, 'size': 2}
-
id: 143011635
{'aut_label': '60A1', 'centralizer': '2.a1', 'counter': 231, 'group_counter': 4023, 'group_order': 960, 'label': '60B19', 'order': 60, 'powers': [205, 146, 80], 'representative': 312, 'size': 2}
-
id: 143011636
{'aut_label': '60A1', 'centralizer': '2.a1', 'counter': 232, 'group_counter': 4023, 'group_order': 960, 'label': '60B-19', 'order': 60, 'powers': [206, 145, 79], 'representative': 472, 'size': 2}
-
id: 143011637
{'aut_label': '60A1', 'centralizer': '2.a1', 'counter': 233, 'group_counter': 4023, 'group_order': 960, 'label': '60C1', 'order': 60, 'powers': [205, 149, 81], 'representative': 18, 'size': 2}
-
id: 143011638
{'aut_label': '60A1', 'centralizer': '2.a1', 'counter': 234, 'group_counter': 4023, 'group_order': 960, 'label': '60C-1', 'order': 60, 'powers': [206, 150, 82], 'representative': 178, 'size': 2}
-
id: 143011639
{'aut_label': '60A1', 'centralizer': '2.a1', 'counter': 235, 'group_counter': 4023, 'group_order': 960, 'label': '60C7', 'order': 60, 'powers': [207, 151, 84], 'representative': 114, 'size': 2}
-
id: 143011640
{'aut_label': '60A1', 'centralizer': '2.a1', 'counter': 236, 'group_counter': 4023, 'group_order': 960, 'label': '60C-7', 'order': 60, 'powers': [208, 152, 83], 'representative': 274, 'size': 2}
-
id: 143011641
{'aut_label': '60A1', 'centralizer': '2.a1', 'counter': 237, 'group_counter': 4023, 'group_order': 960, 'label': '60C13', 'order': 60, 'powers': [207, 152, 81], 'representative': 210, 'size': 2}
-
id: 143011642
{'aut_label': '60A1', 'centralizer': '2.a1', 'counter': 238, 'group_counter': 4023, 'group_order': 960, 'label': '60C-13', 'order': 60, 'powers': [208, 151, 82], 'representative': 370, 'size': 2}
-
id: 143011643
{'aut_label': '60A1', 'centralizer': '2.a1', 'counter': 239, 'group_counter': 4023, 'group_order': 960, 'label': '60C19', 'order': 60, 'powers': [205, 150, 84], 'representative': 306, 'size': 2}
-
id: 143011645
{'aut_label': '60A1', 'centralizer': '2.a1', 'counter': 240, 'group_counter': 4023, 'group_order': 960, 'label': '60C-19', 'order': 60, 'powers': [206, 149, 83], 'representative': 466, 'size': 2}
-
id: 143011646
{'aut_label': '60A1', 'centralizer': '2.a1', 'counter': 241, 'group_counter': 4023, 'group_order': 960, 'label': '60D1', 'order': 60, 'powers': [205, 153, 85], 'representative': 26, 'size': 2}
-
id: 143011647
{'aut_label': '60A1', 'centralizer': '2.a1', 'counter': 242, 'group_counter': 4023, 'group_order': 960, 'label': '60D-1', 'order': 60, 'powers': [206, 154, 86], 'representative': 186, 'size': 2}
-
id: 143011648
{'aut_label': '60A1', 'centralizer': '2.a1', 'counter': 243, 'group_counter': 4023, 'group_order': 960, 'label': '60D7', 'order': 60, 'powers': [207, 155, 88], 'representative': 122, 'size': 2}
-
id: 143011649
{'aut_label': '60A1', 'centralizer': '2.a1', 'counter': 244, 'group_counter': 4023, 'group_order': 960, 'label': '60D-7', 'order': 60, 'powers': [208, 156, 87], 'representative': 282, 'size': 2}
-
id: 143011650
{'aut_label': '60A1', 'centralizer': '2.a1', 'counter': 245, 'group_counter': 4023, 'group_order': 960, 'label': '60D13', 'order': 60, 'powers': [207, 156, 85], 'representative': 218, 'size': 2}
-
id: 143011651
{'aut_label': '60A1', 'centralizer': '2.a1', 'counter': 246, 'group_counter': 4023, 'group_order': 960, 'label': '60D-13', 'order': 60, 'powers': [208, 155, 86], 'representative': 378, 'size': 2}
-
id: 143011652
{'aut_label': '60A1', 'centralizer': '2.a1', 'counter': 247, 'group_counter': 4023, 'group_order': 960, 'label': '60D19', 'order': 60, 'powers': [205, 154, 88], 'representative': 314, 'size': 2}
-
id: 143011653
{'aut_label': '60A1', 'centralizer': '2.a1', 'counter': 248, 'group_counter': 4023, 'group_order': 960, 'label': '60D-19', 'order': 60, 'powers': [206, 153, 87], 'representative': 474, 'size': 2}
-
id: 143011654
{'aut_label': '60E1', 'centralizer': '2.a1', 'counter': 249, 'group_counter': 4023, 'group_order': 960, 'label': '60E1', 'order': 60, 'powers': [209, 157, 89], 'representative': 65, 'size': 2}
-
id: 143011656
{'aut_label': '60E1', 'centralizer': '2.a1', 'counter': 250, 'group_counter': 4023, 'group_order': 960, 'label': '60E-1', 'order': 60, 'powers': [210, 158, 90], 'representative': 899, 'size': 2}
-
id: 143011657
{'aut_label': '60E1', 'centralizer': '2.a1', 'counter': 251, 'group_counter': 4023, 'group_order': 960, 'label': '60E7', 'order': 60, 'powers': [211, 161, 92], 'representative': 451, 'size': 2}
-
id: 143011658
{'aut_label': '60E1', 'centralizer': '2.a1', 'counter': 252, 'group_counter': 4023, 'group_order': 960, 'label': '60E-7', 'order': 60, 'powers': [212, 162, 91], 'representative': 137, 'size': 2}
-
id: 143011659
{'aut_label': '60E1', 'centralizer': '2.a1', 'counter': 253, 'group_counter': 4023, 'group_order': 960, 'label': '60E11', 'order': 60, 'powers': [210, 164, 90], 'representative': 707, 'size': 2}
-
id: 143011660
{'aut_label': '60E1', 'centralizer': '2.a1', 'counter': 254, 'group_counter': 4023, 'group_order': 960, 'label': '60E-11', 'order': 60, 'powers': [209, 163, 89], 'representative': 257, 'size': 2}
-
id: 143011661
{'aut_label': '60E1', 'centralizer': '2.a1', 'counter': 255, 'group_counter': 4023, 'group_order': 960, 'label': '60E13', 'order': 60, 'powers': [211, 162, 89], 'representative': 833, 'size': 2}
-
id: 143011662
{'aut_label': '60E1', 'centralizer': '2.a1', 'counter': 256, 'group_counter': 4023, 'group_order': 960, 'label': '60E-13', 'order': 60, 'powers': [212, 161, 90], 'representative': 131, 'size': 2}
-
id: 143011663
{'aut_label': '60E1', 'centralizer': '2.a1', 'counter': 257, 'group_counter': 4023, 'group_order': 960, 'label': '60E17', 'order': 60, 'powers': [212, 160, 91], 'representative': 129, 'size': 2}
-
id: 143011664
{'aut_label': '60E1', 'centralizer': '2.a1', 'counter': 258, 'group_counter': 4023, 'group_order': 960, 'label': '60E-17', 'order': 60, 'powers': [211, 159, 92], 'representative': 835, 'size': 2}
-
id: 143011665
{'aut_label': '60E1', 'centralizer': '2.a1', 'counter': 259, 'group_counter': 4023, 'group_order': 960, 'label': '60E19', 'order': 60, 'powers': [209, 158, 92], 'representative': 259, 'size': 2}
-
id: 143011667
{'aut_label': '60E1', 'centralizer': '2.a1', 'counter': 260, 'group_counter': 4023, 'group_order': 960, 'label': '60E-19', 'order': 60, 'powers': [210, 157, 91], 'representative': 705, 'size': 2}
-
id: 143011668
{'aut_label': '60E1', 'centralizer': '2.a1', 'counter': 261, 'group_counter': 4023, 'group_order': 960, 'label': '60E23', 'order': 60, 'powers': [212, 159, 90], 'representative': 139, 'size': 2}
-
id: 143011669
{'aut_label': '60E1', 'centralizer': '2.a1', 'counter': 262, 'group_counter': 4023, 'group_order': 960, 'label': '60E-23', 'order': 60, 'powers': [211, 160, 89], 'representative': 449, 'size': 2}
-
id: 143011670
{'aut_label': '60E1', 'centralizer': '2.a1', 'counter': 263, 'group_counter': 4023, 'group_order': 960, 'label': '60E29', 'order': 60, 'powers': [210, 163, 91], 'representative': 897, 'size': 2}
-
id: 143011671
{'aut_label': '60E1', 'centralizer': '2.a1', 'counter': 264, 'group_counter': 4023, 'group_order': 960, 'label': '60E-29', 'order': 60, 'powers': [209, 164, 92], 'representative': 67, 'size': 2}
-
id: 143011672
{'aut_label': '60E1', 'centralizer': '2.a1', 'counter': 265, 'group_counter': 4023, 'group_order': 960, 'label': '60F1', 'order': 60, 'powers': [212, 165, 93], 'representative': 33, 'size': 2}
-
id: 143011673
{'aut_label': '60E1', 'centralizer': '2.a1', 'counter': 266, 'group_counter': 4023, 'group_order': 960, 'label': '60F-1', 'order': 60, 'powers': [211, 166, 94], 'representative': 931, 'size': 2}
-
id: 143011674
{'aut_label': '60E1', 'centralizer': '2.a1', 'counter': 267, 'group_counter': 4023, 'group_order': 960, 'label': '60F7', 'order': 60, 'powers': [210, 169, 96], 'representative': 227, 'size': 2}
-
id: 143011675
{'aut_label': '60E1', 'centralizer': '2.a1', 'counter': 268, 'group_counter': 4023, 'group_order': 960, 'label': '60F-7', 'order': 60, 'powers': [209, 170, 95], 'representative': 737, 'size': 2}
-
id: 143011676
{'aut_label': '60E1', 'centralizer': '2.a1', 'counter': 269, 'group_counter': 4023, 'group_order': 960, 'label': '60F11', 'order': 60, 'powers': [211, 172, 94], 'representative': 355, 'size': 2}
-
id: 143011678
{'aut_label': '60E1', 'centralizer': '2.a1', 'counter': 270, 'group_counter': 4023, 'group_order': 960, 'label': '60F-11', 'order': 60, 'powers': [212, 171, 93], 'representative': 41, 'size': 2}
-
id: 143011679
{'aut_label': '60E1', 'centralizer': '2.a1', 'counter': 271, 'group_counter': 4023, 'group_order': 960, 'label': '60F13', 'order': 60, 'powers': [210, 170, 93], 'representative': 417, 'size': 2}
-
id: 143011680
{'aut_label': '60E1', 'centralizer': '2.a1', 'counter': 272, 'group_counter': 4023, 'group_order': 960, 'label': '60F-13', 'order': 60, 'powers': [209, 169, 94], 'representative': 547, 'size': 2}
-
id: 143011681
{'aut_label': '60E1', 'centralizer': '2.a1', 'counter': 273, 'group_counter': 4023, 'group_order': 960, 'label': '60F17', 'order': 60, 'powers': [209, 168, 95], 'representative': 545, 'size': 2}
-
id: 143011682
{'aut_label': '60E1', 'centralizer': '2.a1', 'counter': 274, 'group_counter': 4023, 'group_order': 960, 'label': '60F-17', 'order': 60, 'powers': [210, 167, 96], 'representative': 419, 'size': 2}
-
id: 143011683
{'aut_label': '60E1', 'centralizer': '2.a1', 'counter': 275, 'group_counter': 4023, 'group_order': 960, 'label': '60F19', 'order': 60, 'powers': [212, 166, 96], 'representative': 43, 'size': 2}
-
id: 143011684
{'aut_label': '60E1', 'centralizer': '2.a1', 'counter': 276, 'group_counter': 4023, 'group_order': 960, 'label': '60F-19', 'order': 60, 'powers': [211, 165, 95], 'representative': 353, 'size': 2}
-
id: 143011685
{'aut_label': '60E1', 'centralizer': '2.a1', 'counter': 277, 'group_counter': 4023, 'group_order': 960, 'label': '60F23', 'order': 60, 'powers': [209, 167, 94], 'representative': 739, 'size': 2}
-
id: 143011686
{'aut_label': '60E1', 'centralizer': '2.a1', 'counter': 278, 'group_counter': 4023, 'group_order': 960, 'label': '60F-23', 'order': 60, 'powers': [210, 168, 93], 'representative': 225, 'size': 2}
-
id: 143011687
{'aut_label': '60E1', 'centralizer': '2.a1', 'counter': 279, 'group_counter': 4023, 'group_order': 960, 'label': '60F29', 'order': 60, 'powers': [211, 171, 95], 'representative': 929, 'size': 2}
-
id: 143011689
{'aut_label': '60E1', 'centralizer': '2.a1', 'counter': 280, 'group_counter': 4023, 'group_order': 960, 'label': '60F-29', 'order': 60, 'powers': [212, 172, 96], 'representative': 35, 'size': 2}
-
id: 143011690
{'aut_label': '60E1', 'centralizer': '2.a1', 'counter': 281, 'group_counter': 4023, 'group_order': 960, 'label': '60G1', 'order': 60, 'powers': [213, 173, 97], 'representative': 17, 'size': 2}
-
id: 143011691
{'aut_label': '60E1', 'centralizer': '2.a1', 'counter': 282, 'group_counter': 4023, 'group_order': 960, 'label': '60G-1', 'order': 60, 'powers': [214, 174, 98], 'representative': 187, 'size': 2}
-
id: 143011692
{'aut_label': '60E1', 'centralizer': '2.a1', 'counter': 283, 'group_counter': 4023, 'group_order': 960, 'label': '60G7', 'order': 60, 'powers': [215, 177, 100], 'representative': 115, 'size': 2}
-
id: 143011693
{'aut_label': '60E1', 'centralizer': '2.a1', 'counter': 284, 'group_counter': 4023, 'group_order': 960, 'label': '60G-7', 'order': 60, 'powers': [216, 178, 99], 'representative': 849, 'size': 2}
-
id: 143011694
{'aut_label': '60E1', 'centralizer': '2.a1', 'counter': 285, 'group_counter': 4023, 'group_order': 960, 'label': '60G11', 'order': 60, 'powers': [214, 180, 98], 'representative': 179, 'size': 2}
-
id: 143011695
{'aut_label': '60E1', 'centralizer': '2.a1', 'counter': 286, 'group_counter': 4023, 'group_order': 960, 'label': '60G-11', 'order': 60, 'powers': [213, 179, 97], 'representative': 25, 'size': 2}
-
id: 143011696
{'aut_label': '60E1', 'centralizer': '2.a1', 'counter': 287, 'group_counter': 4023, 'group_order': 960, 'label': '60G13', 'order': 60, 'powers': [215, 178, 97], 'representative': 209, 'size': 2}
-
id: 143011697
{'aut_label': '60E1', 'centralizer': '2.a1', 'counter': 288, 'group_counter': 4023, 'group_order': 960, 'label': '60G-13', 'order': 60, 'powers': [216, 177, 98], 'representative': 755, 'size': 2}
-
id: 143011698
{'aut_label': '60E1', 'centralizer': '2.a1', 'counter': 289, 'group_counter': 4023, 'group_order': 960, 'label': '60G17', 'order': 60, 'powers': [216, 176, 99], 'representative': 273, 'size': 2}
-
id: 143011700
{'aut_label': '60E1', 'centralizer': '2.a1', 'counter': 290, 'group_counter': 4023, 'group_order': 960, 'label': '60G-17', 'order': 60, 'powers': [215, 175, 100], 'representative': 123, 'size': 2}
-
id: 143011701
{'aut_label': '60E1', 'centralizer': '2.a1', 'counter': 291, 'group_counter': 4023, 'group_order': 960, 'label': '60G19', 'order': 60, 'powers': [213, 174, 100], 'representative': 307, 'size': 2}
-
id: 143011702
{'aut_label': '60E1', 'centralizer': '2.a1', 'counter': 292, 'group_counter': 4023, 'group_order': 960, 'label': '60G-19', 'order': 60, 'powers': [214, 173, 99], 'representative': 657, 'size': 2}
-
id: 143011703
{'aut_label': '60E1', 'centralizer': '2.a1', 'counter': 293, 'group_counter': 4023, 'group_order': 960, 'label': '60G23', 'order': 60, 'powers': [216, 175, 98], 'representative': 371, 'size': 2}
-
id: 143011704
{'aut_label': '60E1', 'centralizer': '2.a1', 'counter': 294, 'group_counter': 4023, 'group_order': 960, 'label': '60G-23', 'order': 60, 'powers': [215, 176, 97], 'representative': 593, 'size': 2}
-
id: 143011705
{'aut_label': '60E1', 'centralizer': '2.a1', 'counter': 295, 'group_counter': 4023, 'group_order': 960, 'label': '60G29', 'order': 60, 'powers': [214, 179, 99], 'representative': 465, 'size': 2}
-
id: 143011706
{'aut_label': '60E1', 'centralizer': '2.a1', 'counter': 296, 'group_counter': 4023, 'group_order': 960, 'label': '60G-29', 'order': 60, 'powers': [213, 180, 100], 'representative': 499, 'size': 2}
-
id: 143011707
{'aut_label': '60E1', 'centralizer': '2.a1', 'counter': 297, 'group_counter': 4023, 'group_order': 960, 'label': '60H1', 'order': 60, 'powers': [213, 181, 101], 'representative': 19, 'size': 2}
-
id: 143011708
{'aut_label': '60E1', 'centralizer': '2.a1', 'counter': 298, 'group_counter': 4023, 'group_order': 960, 'label': '60H-1', 'order': 60, 'powers': [214, 182, 102], 'representative': 185, 'size': 2}
-
id: 143011709
{'aut_label': '60E1', 'centralizer': '2.a1', 'counter': 299, 'group_counter': 4023, 'group_order': 960, 'label': '60H7', 'order': 60, 'powers': [215, 185, 104], 'representative': 113, 'size': 2}
-
id: 143011712
{'aut_label': '60E1', 'centralizer': '2.a1', 'counter': 300, 'group_counter': 4023, 'group_order': 960, 'label': '60H-7', 'order': 60, 'powers': [216, 186, 103], 'representative': 851, 'size': 2}
-
id: 143011713
{'aut_label': '60E1', 'centralizer': '2.a1', 'counter': 301, 'group_counter': 4023, 'group_order': 960, 'label': '60H11', 'order': 60, 'powers': [214, 188, 102], 'representative': 177, 'size': 2}
-
id: 143011714
{'aut_label': '60E1', 'centralizer': '2.a1', 'counter': 302, 'group_counter': 4023, 'group_order': 960, 'label': '60H-11', 'order': 60, 'powers': [213, 187, 101], 'representative': 27, 'size': 2}
-
id: 143011715
{'aut_label': '60E1', 'centralizer': '2.a1', 'counter': 303, 'group_counter': 4023, 'group_order': 960, 'label': '60H13', 'order': 60, 'powers': [215, 186, 101], 'representative': 211, 'size': 2}
-
id: 143011716
{'aut_label': '60E1', 'centralizer': '2.a1', 'counter': 304, 'group_counter': 4023, 'group_order': 960, 'label': '60H-13', 'order': 60, 'powers': [216, 185, 102], 'representative': 753, 'size': 2}
-
id: 143011717
{'aut_label': '60E1', 'centralizer': '2.a1', 'counter': 305, 'group_counter': 4023, 'group_order': 960, 'label': '60H17', 'order': 60, 'powers': [216, 184, 103], 'representative': 275, 'size': 2}
-
id: 143011718
{'aut_label': '60E1', 'centralizer': '2.a1', 'counter': 306, 'group_counter': 4023, 'group_order': 960, 'label': '60H-17', 'order': 60, 'powers': [215, 183, 104], 'representative': 121, 'size': 2}
-
id: 143011719
{'aut_label': '60E1', 'centralizer': '2.a1', 'counter': 307, 'group_counter': 4023, 'group_order': 960, 'label': '60H19', 'order': 60, 'powers': [213, 182, 104], 'representative': 305, 'size': 2}
-
id: 143011720
{'aut_label': '60E1', 'centralizer': '2.a1', 'counter': 308, 'group_counter': 4023, 'group_order': 960, 'label': '60H-19', 'order': 60, 'powers': [214, 181, 103], 'representative': 659, 'size': 2}
-
id: 143011721
{'aut_label': '60E1', 'centralizer': '2.a1', 'counter': 309, 'group_counter': 4023, 'group_order': 960, 'label': '60H23', 'order': 60, 'powers': [216, 183, 102], 'representative': 369, 'size': 2}
-
id: 143011723
{'aut_label': '60E1', 'centralizer': '2.a1', 'counter': 310, 'group_counter': 4023, 'group_order': 960, 'label': '60H-23', 'order': 60, 'powers': [215, 184, 101], 'representative': 595, 'size': 2}
-
id: 143011724
{'aut_label': '60E1', 'centralizer': '2.a1', 'counter': 311, 'group_counter': 4023, 'group_order': 960, 'label': '60H29', 'order': 60, 'powers': [214, 187, 103], 'representative': 467, 'size': 2}
-
id: 143011725
{'aut_label': '60E1', 'centralizer': '2.a1', 'counter': 312, 'group_counter': 4023, 'group_order': 960, 'label': '60H-29', 'order': 60, 'powers': [213, 188, 104], 'representative': 497, 'size': 2}
-
gps_qchar • Show schema
Hide schema
-
id: 13615251
{'cdim': 1, 'counter': 1, 'faithful': False, 'group': '960.4023', 'group_order': 960, 'image': None, 'label': '960.4023.1a', '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], 'schur_index': 1}
-
id: 13615262
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id: 13615273
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id: 13615284
{'cdim': 1, 'counter': 4, 'faithful': False, 'group': '960.4023', 'group_order': 960, 'image': None, 'label': '960.4023.1d', 'multiplicity': 1, 'nt': [2, 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], 'schur_index': 1}
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id: 13615295
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id: 13615306
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id: 13615317
{'cdim': 1, 'counter': 7, 'faithful': False, 'group': '960.4023', 'group_order': 960, 'image': None, 'label': '960.4023.1g', 'multiplicity': 1, 'nt': [2, 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], 'schur_index': 1}
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id: 13615328
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id: 13615334
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id: 13615252
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id: 13615253
{'cdim': 1, 'counter': 11, 'faithful': False, 'group': '960.4023', 'group_order': 960, 'image': None, 'label': '960.4023.1k', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [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, 2, 0, 0, -2, -2, 2, 0, 0, 2, 0, 0, 2, -2, -2, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, -2, -2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, 2, 2, 0, 0, 2, -2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, -2, -2, -2, 0, -2, 2, -2, -2, 0, 0, -2, 0, 0, 0, 2, 0, 0, 0, 0, -2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 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, 0, 0, -2, -2, 2, 2, 0, 2, 0, 0, 2, 0, -2, 2, -2, -2, 0, -2, 0, 0, -2, 0, 0, 0, 0, 0, -2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, -2, 0, 0, 2, 2, -2, 0, 2, 0, -2, -2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 0, 0, 0, 0, -2, 2, 0, 0, 2, 0, -2], 'schur_index': 1}
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id: 13615254
{'cdim': 1, 'counter': 12, 'faithful': False, 'group': '960.4023', 'group_order': 960, 'image': None, 'label': '960.4023.1l', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [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, -2, 0, 0, -2, 2, 2, 0, 0, 2, 0, 0, -2, -2, 2, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 2, 2, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, -2, -2, 2, -2, 0, 0, -2, 2, -2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, -2, 2, 2, 0, 0, 2, 0, 0, 0, -2, 0, 0, 0, 0, 2, 0, -2, 0, 0, 0, -2, 0, 0, 0, 0, 0, -2, 0, 0, 0, -2, 0, 0, 0, -2, 0, -2, 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, 0, 0, 2, 2, -2, -2, 0, -2, 0, 0, -2, 0, 2, -2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, -2, 0, 0, 0, 0, -2, 0, 0, 0, 2, 0, 0, -2, -2, 2, 0, -2, 0, 2, 2, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, -2, 0, 0, -2, 0, 2], 'schur_index': 1}
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id: 13615255
{'cdim': 1, 'counter': 13, 'faithful': False, 'group': '960.4023', 'group_order': 960, 'image': None, 'label': '960.4023.1m', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [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, 2, 0, 0, 2, -2, -2, 0, 0, -2, 0, 0, 2, 2, -2, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, -2, -2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, 2, 2, -2, 2, 0, 0, 2, -2, 2, -2, 0, -2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, -2, 2, 2, 0, 0, 2, 0, 0, 0, -2, 0, 0, 0, 0, 2, 0, -2, 0, 0, 0, -2, 0, 0, 0, 0, 0, -2, 0, 0, 0, -2, 0, 0, 0, -2, 0, -2, 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, 0, 0, 2, 2, -2, -2, 0, -2, 0, 0, -2, 0, 2, -2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, -2, 0, 0, 0, 0, -2, 0, 0, 0, 2, 0, 0, -2, -2, 2, 0, -2, 0, 2, 2, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, -2, 0, 0, -2, 0, 2], 'schur_index': 1}
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id: 13615256
{'cdim': 1, 'counter': 14, 'faithful': False, 'group': '960.4023', 'group_order': 960, 'image': None, 'label': '960.4023.1n', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [2, -2, 2, 2, -2, -2, 2, -2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 2, 0, 0, 2, 0, -2, 0, 0, 0, -2, 0, -2, 0, -2, 2, -2, 2, 0, 2, 0, 2, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, 2, 2, 0, -2, 0, 0, 0, 2, 0, 0, 0, -2, -2, 0, -2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, -2, 0, 0, -2, 2, 0, 2, -2, -2, 0, -2, 2, 0, 0, 0, -2, -2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, -2, -2, 0, 0, -2, -2, 2, 2, 2, 0, 2, 0, 0, 0, 2, -2, -2, 0, 0, 0, 2, 2, 2, 0, -2, 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, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, -2, -2, 0, -2, -2, 0, -2, 0, -2, 0, -2, -2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, -2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, -2, 2, 0, 0, 2, 2, 0, -2, 0, 0, 0, -2, 0, -2, 0], 'schur_index': 1}
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id: 13615257
{'cdim': 1, 'counter': 15, 'faithful': False, 'group': '960.4023', 'group_order': 960, 'image': None, 'label': '960.4023.1o', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [2, -2, 2, 2, -2, -2, 2, -2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 2, 0, 0, 2, 0, -2, 0, 0, 0, 2, 0, 2, 0, 2, -2, 2, -2, 0, -2, 0, -2, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, 2, 2, 0, -2, 0, 0, 0, 2, 0, 0, 0, -2, -2, 0, 2, -2, 0, 0, 0, -2, 0, 0, 0, 0, -2, 2, 0, 0, 2, -2, 0, -2, 2, 2, 0, 2, -2, 0, 0, 0, 2, 2, -2, -2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, -2, -2, 0, 0, -2, -2, 2, 2, 2, 0, 2, 0, 0, 0, 2, -2, -2, 0, 0, 0, 2, 2, 2, 0, -2, 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, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, -2, -2, 0, -2, -2, 0, -2, 0, -2, 0, -2, -2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, -2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, -2, 2, 0, 0, 2, 2, 0, -2, 0, 0, 0, -2, 0, -2, 0], 'schur_index': 1}
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id: 13615258
{'cdim': 1, 'counter': 16, 'faithful': False, 'group': '960.4023', 'group_order': 960, 'image': None, 'label': '960.4023.1p', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [2, -2, 2, 2, -2, -2, 2, -2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, -2, 0, 0, -2, 0, 2, 0, 0, 0, -2, 0, -2, 0, 2, 2, 2, -2, 0, 2, 0, -2, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, -2, -2, 0, 2, 0, 0, 0, -2, 0, 0, 0, 2, 2, 0, -2, -2, 0, 0, 0, 2, 0, 0, 0, 0, -2, 2, 0, 0, 2, 2, 0, 2, -2, -2, 0, 2, -2, 0, 0, 0, -2, 2, 2, -2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, -2, -2, -2, 0, -2, 0, 0, 0, -2, 2, 2, 0, 0, 0, -2, -2, -2, 0, 2, 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, 0, 0, -2, 0, 0, 0, 0, -2, 0, 0, -2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, -2, -2, 0, 0, -2, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 2, 0, -2, 0, -2, 0, -2, -2, -2, 0, 0, -2, 2, -2, 0, 0, -2, -2, 0, 2, 0, 0, 0, 2, 0, 2, 0], 'schur_index': 1}
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id: 13615259
{'cdim': 1, 'counter': 17, 'faithful': False, 'group': '960.4023', 'group_order': 960, 'image': None, 'label': '960.4023.1q', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [2, -2, 2, 2, -2, -2, 2, -2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, -2, 0, 0, -2, 0, 2, 0, 0, 0, 2, 0, 2, 0, -2, -2, -2, 2, 0, -2, 0, 2, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, -2, -2, 0, 2, 0, 0, 0, -2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, -2, 0, 0, 0, 0, 2, -2, 0, 0, -2, -2, 0, -2, 2, 2, 0, -2, 2, 0, 0, 0, 2, -2, -2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, -2, -2, -2, 0, -2, 0, 0, 0, -2, 2, 2, 0, 0, 0, -2, -2, -2, 0, 2, 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, 0, 0, -2, 0, 0, 0, 0, -2, 0, 0, -2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, -2, -2, 0, 0, -2, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 2, 0, -2, 0, -2, 0, -2, -2, -2, 0, 0, -2, 2, -2, 0, 0, -2, -2, 0, 2, 0, 0, 0, 2, 0, 2, 0], 'schur_index': 1}
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id: 13615260
{'cdim': 1, 'counter': 18, 'faithful': False, 'group': '960.4023', 'group_order': 960, 'image': None, 'label': '960.4023.1r', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [2, 2, -2, 2, -2, 2, -2, -2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, -2, 2, 0, 2, 0, 0, -2, 2, -2, 0, 2, -2, 0, -2, 0, 0, 0, 2, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, -2, 0, -2, -2, 2, 0, 2, -2, 2, 0, 0, 2, -2, 0, 2, 0, 0, -2, 0, 2, -2, 2, 0, 0, -2, -2, 0, 2, 0, 2, -2, 2, 0, 0, 0, 0, 0, 0, 2, 0, -2, 0, -2, 2, 2, 2, 2, 0, 0, 0, -2, 0, 0, 0, 0, -2, -2, 0, 2, -2, 2, 0, 2, 2, -2, -2, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 2, 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, 0, -2, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, -2, 0, -2, -2, 0, 2, -2, 0, -2, 2, 0, -2, 0, 2, -2, 2, 2, 2, 2, 2, -2, -2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, -2, 0, 0, -2, 0, 0, 0, 0, 0, -2, 0, 0, 2, 0, 0, 0, -2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, -2, 0, 0, 0, 0], 'schur_index': 1}
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id: 13615261
{'cdim': 1, 'counter': 19, 'faithful': False, 'group': '960.4023', 'group_order': 960, 'image': None, 'label': '960.4023.1s', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [2, 2, -2, 2, -2, 2, -2, -2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, -2, 2, 0, 2, 0, 0, 2, -2, 2, 0, -2, 2, 0, 2, 0, 0, 0, -2, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, -2, 0, -2, -2, 2, 0, 2, -2, 2, 0, 0, -2, 2, 0, -2, 0, 0, 2, 0, -2, 2, -2, 0, 0, 2, 2, 0, -2, 0, -2, 2, -2, 0, 0, 0, 0, 0, 0, -2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, -2, 0, 0, 0, 0, -2, -2, 0, 2, -2, 2, 0, 2, 2, -2, -2, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 2, 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, 0, -2, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, -2, 0, -2, -2, 0, 2, -2, 0, -2, 2, 0, -2, 0, 2, -2, 2, 2, 2, 2, 2, -2, -2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, -2, 0, 0, -2, 0, 0, 0, 0, 0, -2, 0, 0, 2, 0, 0, 0, -2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, -2, 0, 0, 0, 0], 'schur_index': 1}
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id: 13615263
{'cdim': 1, 'counter': 20, 'faithful': False, 'group': '960.4023', 'group_order': 960, 'image': None, 'label': '960.4023.1t', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [2, 2, -2, 2, -2, 2, -2, -2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, -2, 0, -2, 0, 0, -2, 2, 2, 0, -2, -2, 0, 2, 0, 0, 0, -2, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 2, 0, 2, 2, -2, 0, -2, 2, -2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, -2, 2, 0, 0, -2, -2, 0, -2, 0, -2, 2, -2, 0, 0, 0, 0, 0, 0, -2, 0, 2, 0, -2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, -2, 2, -2, 0, -2, -2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, -2, 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, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, -2, 2, 0, 2, -2, 0, 2, 0, -2, 2, -2, -2, -2, -2, -2, 2, 2, 0, -2, 0, 0, 0, 0, 0, -2, 0, 0, 0, -2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, -2, 0, 0, 0, 2, 0, -2, 0, 0, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 2, 0, 0, 0, 0], 'schur_index': 1}
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id: 13615264
{'cdim': 1, 'counter': 21, 'faithful': False, 'group': '960.4023', 'group_order': 960, 'image': None, 'label': '960.4023.1u', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [2, 2, -2, 2, -2, 2, -2, -2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, -2, 0, -2, 0, 0, 2, -2, -2, 0, 2, 2, 0, -2, 0, 0, 0, 2, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 2, 0, 2, 2, -2, 0, -2, 2, -2, 0, 0, -2, -2, 0, -2, 0, 0, -2, 0, -2, 2, -2, 0, 0, 2, 2, 0, 2, 0, 2, -2, 2, 0, 0, 0, 0, 0, 0, 2, 0, -2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, -2, 2, -2, 0, -2, -2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, -2, 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, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, -2, 2, 0, 2, -2, 0, 2, 0, -2, 2, -2, -2, -2, -2, -2, 2, 2, 0, -2, 0, 0, 0, 0, 0, -2, 0, 0, 0, -2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, -2, 0, 0, 0, 2, 0, -2, 0, 0, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 2, 0, 0, 0, 0], 'schur_index': 1}
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id: 13615265
{'cdim': 1, 'counter': 22, 'faithful': False, 'group': '960.4023', 'group_order': 960, 'image': None, 'label': '960.4023.1v', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 2, 2, 2, 2, -1, -1, -2, -2, -2, -2, -2, -2, -2, -2, -2, 2, -2, 2, 2, -2, 2, -2, -2, 2, 2, 2, -2, 2, 2, -2, 2, -2, -2, -2, 2, -2, -2, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, 1, 1, -1, 1, -1, -1, -1, 1, -1, -1, -1, 1, 1, -1, -1, 1, -1, 1, 1, -1, 1, -1, -1, -1, 1, 1, -1, -1, 1, -1, 1, -1, -1, -1, 1, 1, 1, 1, 1, 1, -1, 1, -1, 1, -1, -1, -1, -1, -1, -2, -2, -2, 2, -2, -2, -2, -2, 2, 2, -2, 2, 2, 2, -2, 2, 2, 2, 2, -2, -2, -2, -2, -2, 2, -2, -2, -2, -2, -2, -2, -2, -2, 2, 2, -2, -2, -2, -2, -2, 2, -2, -2, -2, -2, 2, -2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, -1, 1, -1, -1, 1, -1, -1, 1, -1, -1, 1, -1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, 1, 1, 1, 1, 1, -1, 1, 1, 1, -1, 1, 1, 1, 1, 1, -1, 1, 1, -1, 1, 1, 1, 1, 1, -1, 1, 1, -1, 1, 1, 1, -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: 13615266
{'cdim': 1, 'counter': 23, 'faithful': False, 'group': '960.4023', 'group_order': 960, 'image': None, 'label': '960.4023.1w', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 2, 2, 2, 2, -1, -1, -2, -2, -2, -2, -2, -2, -2, -2, -2, 2, -2, 2, 2, -2, 2, -2, 2, -2, -2, -2, 2, -2, -2, 2, -2, 2, 2, 2, -2, 2, 2, -2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, 1, 1, -1, 1, -1, -1, -1, 1, -1, -1, -1, 1, 1, 1, 1, -1, 1, -1, -1, 1, -1, 1, 1, 1, -1, -1, 1, 1, -1, 1, -1, 1, 1, 1, -1, -1, -1, -1, -1, -1, 1, -1, 1, -1, 1, -1, -1, -1, -1, -2, -2, -2, 2, -2, -2, -2, -2, 2, 2, -2, 2, 2, 2, -2, 2, 2, 2, 2, -2, -2, -2, -2, -2, 2, -2, -2, -2, -2, -2, -2, -2, -2, 2, 2, -2, -2, -2, -2, -2, 2, -2, -2, -2, -2, 2, -2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, -1, 1, -1, -1, 1, -1, -1, 1, -1, -1, 1, -1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, 1, 1, 1, 1, 1, -1, 1, 1, 1, -1, 1, 1, 1, 1, 1, -1, 1, 1, -1, 1, 1, 1, 1, 1, -1, 1, 1, -1, 1, 1, 1, -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: 13615267
{'cdim': 1, 'counter': 24, 'faithful': False, 'group': '960.4023', 'group_order': 960, 'image': None, 'label': '960.4023.1x', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 2, 2, 2, 2, -1, -1, -2, -2, -2, -2, -2, -2, -2, -2, 2, -2, 2, -2, -2, 2, -2, 2, -2, -2, -2, 2, -2, 2, -2, 2, 2, 2, 2, -2, 2, -2, 2, -2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, -1, 1, 1, 1, -1, 1, 1, 1, -1, -1, 1, -1, -1, 1, 1, 1, -1, 1, 1, 1, 1, -1, -1, 1, 1, -1, -1, 1, -1, -1, -1, 1, -1, -1, 1, 1, 1, -1, -1, -1, -1, 1, -1, -1, -1, -1, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 2, -2, 2, 2, -2, -2, 2, 2, 2, 2, 2, -2, 2, -2, -2, -2, 2, 2, 2, -2, -2, -2, 2, 2, 2, -2, 2, -2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, -1, 1, 1, 1, 1, -1, 1, 1, -1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, -1, -1, 1, -1, -1, 1, -1, 1, -1, 1, -1, -1, 1, -1, -1, 1, 1, -1, 1, 1, 1, 1, -1, 1, 1, 1, 1, 1, -1, 1, -1, 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: 13615268
{'cdim': 1, 'counter': 25, 'faithful': False, 'group': '960.4023', 'group_order': 960, 'image': None, 'label': '960.4023.1y', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 2, 2, 2, 2, -1, -1, -2, -2, -2, -2, -2, -2, -2, -2, 2, -2, 2, -2, -2, 2, -2, 2, 2, 2, 2, -2, 2, -2, 2, -2, -2, -2, -2, 2, -2, 2, -2, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, -1, 1, 1, 1, -1, 1, 1, 1, -1, -1, -1, 1, 1, -1, -1, -1, 1, -1, -1, -1, -1, 1, 1, -1, -1, 1, 1, -1, 1, 1, 1, -1, 1, 1, -1, -1, -1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 2, -2, 2, 2, -2, -2, 2, 2, 2, 2, 2, -2, 2, -2, -2, -2, 2, 2, 2, -2, -2, -2, 2, 2, 2, -2, 2, -2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, -1, 1, 1, 1, 1, -1, 1, 1, -1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, -1, -1, 1, -1, -1, 1, -1, 1, -1, 1, -1, -1, 1, -1, -1, 1, 1, -1, 1, 1, 1, 1, -1, 1, 1, 1, 1, 1, -1, 1, -1, 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: 13615269
{'cdim': 1, 'counter': 26, 'faithful': False, 'group': '960.4023', 'group_order': 960, 'image': None, 'label': '960.4023.1z', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 2, 2, 2, 2, -1, -1, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 2, 2, -2, -2, -2, 2, 2, -2, 2, 2, -2, -2, -2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, -1, -1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, -1, -1, 1, 1, 1, 1, -1, 1, -1, -1, -1, -1, -1, -1, 2, 2, 2, -2, 2, 2, 2, 2, -2, -2, 2, -2, -2, -2, 2, -2, -2, -2, -2, 2, -2, 2, -2, -2, -2, 2, -2, -2, -2, -2, -2, 2, -2, -2, -2, 2, -2, -2, -2, 2, -2, 2, -2, -2, -2, -2, -2, -2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, -1, -1, -1, -1, 1, -1, 1, 1, -1, 1, -1, -1, -1, -1, 1, -1, 1, 1, -1, 1, 1, 1, 1, 1, -1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, 1, 1, -1, 1, 1, 1, 1, -1, 1, 1, 1, -1, 1, 1, -1, -1, -1, 1, -1, 1, -1, -1, 1, 1, -1, 1, 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: 13615270
{'cdim': 1, 'counter': 27, 'faithful': False, 'group': '960.4023', 'group_order': 960, 'image': None, 'label': '960.4023.1aa', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 2, 2, 2, 2, -1, -1, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -2, -2, -2, -2, 2, -2, -2, 2, 2, 2, -2, -2, 2, -2, -2, 2, 2, 2, -2, -2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, 1, 1, -1, -1, -1, -1, 1, -1, 1, 1, -1, -1, -1, -1, 2, 2, 2, -2, 2, 2, 2, 2, -2, -2, 2, -2, -2, -2, 2, -2, -2, -2, -2, 2, -2, 2, -2, -2, -2, 2, -2, -2, -2, -2, -2, 2, -2, -2, -2, 2, -2, -2, -2, 2, -2, 2, -2, -2, -2, -2, -2, -2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, -1, -1, -1, -1, 1, -1, 1, 1, -1, 1, -1, -1, -1, -1, 1, -1, 1, 1, -1, 1, 1, 1, 1, 1, -1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, 1, 1, -1, 1, 1, 1, 1, -1, 1, 1, 1, -1, 1, 1, -1, -1, -1, 1, -1, 1, -1, -1, 1, 1, -1, 1, 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: 13615271
{'cdim': 1, 'counter': 28, 'faithful': False, 'group': '960.4023', 'group_order': 960, 'image': None, 'label': '960.4023.1ab', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 2, 2, 2, 2, -1, -1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -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: 13615286
{'cdim': 2, 'counter': 41, 'faithful': False, 'group': '960.4023', 'group_order': 960, 'image': None, 'label': '960.4023.2a', 'multiplicity': 1, 'nt': [4, 3], 'qdim': 2, 'qvalues': [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, 2, 2, -2, -2, 2, -2, 2, 2, 2, -2, 2, -2, 2, -2, -2, -2, -2, -2, -2, -2, -2, 2, -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, 2, 2, 2, 2, -2, -2, -2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, -2, 0, 0, 0, 0, -2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, -2, 0, 0, 0, 2, 0, 0, 0, -2, 0, -2, 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, 0, 0, 2, 2, -2, 2, 0, 2, 0, 0, -2, 0, 2, 2, 2, -2, 0, -2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 2, 0, 0, 0, 0, -2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, -2, 0, -2, -2, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 0, 0, 0, 0, -2, -2, 0, 0, 2, 0, -2], 'schur_index': 1}
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id: 13615287
{'cdim': 2, 'counter': 42, 'faithful': False, 'group': '960.4023', 'group_order': 960, 'image': None, 'label': '960.4023.2b', 'multiplicity': 1, 'nt': [4, 3], 'qdim': 2, 'qvalues': [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, 2, 2, -2, -2, 2, -2, 2, 2, 2, -2, 2, -2, 2, -2, -2, -2, -2, -2, -2, -2, -2, 2, -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, 2, 2, 2, 2, 2, 2, 2, 0, -2, -2, -2, -2, 0, 0, -2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, -2, 0, 0, 0, -2, 0, 0, 0, 0, 0, 2, 0, 0, 0, -2, 0, 0, 0, 2, 0, 2, 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, 0, 0, -2, -2, 2, -2, 0, -2, 0, 0, 2, 0, -2, -2, -2, 2, 0, 2, 0, 0, -2, 0, 0, 0, 0, 0, -2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, -2, 0, 0, 0, 0, 2, 0, 0, 0, -2, 0, 0, -2, -2, -2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, -2, 0, 2], 'schur_index': 1}
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id: 13615288
{'cdim': 2, 'counter': 43, 'faithful': False, 'group': '960.4023', 'group_order': 960, 'image': None, 'label': '960.4023.2c', 'multiplicity': 1, 'nt': [8, 5], 'qdim': 2, 'qvalues': [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, 2, 2, -2, -2, 2, -2, -2, -2, -2, 2, 2, 2, -2, 2, 2, -2, 2, -2, -2, 2, -2, -2, 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, 2, 2, 2, 2, -2, -2, -2, 0, 2, -2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, -2, 0, -2, 0, 0, 0, -2, 0, 0, 0, 0, 0, 2, 0, 0, 0, -2, 0, 0, 0, 2, 0, 2, 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, 0, 0, 2, 2, 2, -2, 0, -2, 0, 0, 2, 0, 2, -2, 2, -2, 0, -2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, -2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, -2, -2, 2, 0, 2, 0, -2, -2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 0, 0, 0, 0, -2, 2, 0, 0, -2, 0, -2], 'schur_index': 2}
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id: 13615289
{'cdim': 2, 'counter': 44, 'faithful': False, 'group': '960.4023', 'group_order': 960, 'image': None, 'label': '960.4023.2d', 'multiplicity': 1, 'nt': [8, 5], 'qdim': 2, 'qvalues': [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, 2, 2, -2, -2, 2, -2, -2, -2, -2, 2, 2, 2, -2, 2, 2, -2, 2, -2, -2, 2, -2, -2, 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, 2, 2, 2, 2, 2, 2, 2, 0, -2, 2, -2, -2, 0, 0, -2, 0, 0, 0, -2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, -2, 0, 0, 0, 2, 0, 0, 0, -2, 0, -2, 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, 0, 0, -2, -2, -2, 2, 0, 2, 0, 0, -2, 0, -2, 2, -2, 2, 0, 2, 0, 0, -2, 0, 0, 0, 0, 0, -2, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 2, 0, 0, 0, 0, -2, 0, 0, 0, -2, 0, 0, 2, 2, -2, 0, -2, 0, 2, 2, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, -2, 0, 0, 2, 0, 2], 'schur_index': 2}
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id: 13615272
{'cdim': 1, 'counter': 29, 'faithful': False, 'group': '960.4023', 'group_order': 960, 'image': None, 'label': '960.4023.1ac', 'multiplicity': 4, 'nt': [12, 1], 'qdim': 4, 'qvalues': [4, -4, -4, 4, 4, -4, -4, 4, -2, -2, -4, -4, 4, 4, -4, -4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 4, 4, -4, 0, 0, -4, 0, 0, -4, 4, 4, 0, 0, 4, 4, -2, -2, -2, -2, 2, 2, 2, 2, -2, 2, 2, 2, 2, -2, -4, 4, 4, -4, 4, -4, -4, -4, 4, 4, -4, -4, 4, -4, -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, -2, 0, 0, -2, -2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, 2, 2, 0, 0, 2, -2, 2, 2, 0, 2, 0, 0, -2, -2, -2, -2, -4, -4, -4, 0, -4, 4, -4, -4, 0, 0, -4, 0, 0, 0, 4, 0, 0, 0, 0, -4, 0, 4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 4, 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, 0, 0, 2, 2, -2, -2, 0, -2, 0, 0, -2, 0, 2, -2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, -2, 0, 0, 0, 0, -2, 0, 0, 0, 2, 0, 0, -2, -2, 2, 0, -2, 0, 2, 2, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, -2, 0, 0, -2, 0, 2], 'schur_index': 1}
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id: 13615274
{'cdim': 1, 'counter': 30, 'faithful': False, 'group': '960.4023', 'group_order': 960, 'image': None, 'label': '960.4023.1ad', 'multiplicity': 4, 'nt': [12, 1], 'qdim': 4, 'qvalues': [4, -4, -4, 4, 4, -4, -4, 4, -2, -2, -4, -4, 4, 4, -4, -4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, -4, -4, 4, 0, 0, 4, 0, 0, 4, -4, -4, 0, 0, 4, 4, -2, -2, -2, -2, 2, 2, 2, 2, -2, 2, 2, 2, 2, -2, -4, 4, 4, -4, 4, -4, -4, -4, 4, 4, -4, -4, 4, -4, -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, 2, 0, 0, 2, 2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, -2, -2, 0, 0, -2, 2, -2, -2, 0, -2, 0, 0, -2, -2, -2, -2, -4, -4, -4, 0, -4, 4, -4, -4, 0, 0, -4, 0, 0, 0, 4, 0, 0, 0, 0, -4, 0, 4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 4, 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, 0, 0, 2, 2, -2, -2, 0, -2, 0, 0, -2, 0, 2, -2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, -2, 0, 0, 0, 0, -2, 0, 0, 0, 2, 0, 0, -2, -2, 2, 0, -2, 0, 2, 2, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, -2, 0, 0, -2, 0, 2], 'schur_index': 1}
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id: 13615275
{'cdim': 1, 'counter': 31, 'faithful': False, 'group': '960.4023', 'group_order': 960, 'image': None, 'label': '960.4023.1ae', 'multiplicity': 4, 'nt': [12, 1], 'qdim': 4, 'qvalues': [4, -4, -4, 4, 4, -4, -4, 4, -2, -2, 4, 4, -4, -4, 4, 4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, -4, 4, 4, 0, 0, 4, 0, 0, -4, -4, 4, 0, 0, 4, 4, -2, -2, -2, -2, 2, 2, 2, 2, -2, 2, 2, 2, 2, -2, -4, 4, 4, -4, 4, -4, -4, -4, 4, 4, -4, -4, 4, -4, 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, 2, 0, 0, -2, -2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, 2, 2, -2, 2, 0, 0, 2, -2, 2, -2, 0, -2, 0, 0, -2, -2, -2, -2, 4, 4, 4, 0, 4, -4, 4, 4, 0, 0, 4, 0, 0, 0, -4, 0, 0, 0, 0, 4, 0, -4, 0, 0, 0, -4, 0, 0, 0, 0, 0, -4, 0, 0, 0, -4, 0, 0, 0, -4, 0, -4, 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, 0, 0, -2, -2, 2, 2, 0, 2, 0, 0, 2, 0, -2, 2, -2, -2, 0, -2, 0, 0, -2, 0, 0, 0, 0, 0, -2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, -2, 0, 0, 2, 2, -2, 0, 2, 0, -2, -2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 0, 0, 0, 0, -2, 2, 0, 0, 2, 0, -2], 'schur_index': 1}
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id: 13615276
{'cdim': 1, 'counter': 32, 'faithful': False, 'group': '960.4023', 'group_order': 960, 'image': None, 'label': '960.4023.1af', 'multiplicity': 4, 'nt': [12, 1], 'qdim': 4, 'qvalues': [4, -4, -4, 4, 4, -4, -4, 4, -2, -2, 4, 4, -4, -4, 4, 4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 4, -4, -4, 0, 0, -4, 0, 0, 4, 4, -4, 0, 0, 4, 4, -2, -2, -2, -2, 2, 2, 2, 2, -2, 2, 2, 2, 2, -2, -4, 4, 4, -4, 4, -4, -4, -4, 4, 4, -4, -4, 4, -4, 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, -2, 0, 0, 2, 2, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, -2, -2, 2, -2, 0, 0, -2, 2, -2, 2, 0, 2, 0, 0, -2, -2, -2, -2, 4, 4, 4, 0, 4, -4, 4, 4, 0, 0, 4, 0, 0, 0, -4, 0, 0, 0, 0, 4, 0, -4, 0, 0, 0, -4, 0, 0, 0, 0, 0, -4, 0, 0, 0, -4, 0, 0, 0, -4, 0, -4, 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, 0, 0, -2, -2, 2, 2, 0, 2, 0, 0, 2, 0, -2, 2, -2, -2, 0, -2, 0, 0, -2, 0, 0, 0, 0, 0, -2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, -2, 0, 0, 2, 2, -2, 0, 2, 0, -2, -2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 0, 0, 0, 0, -2, 2, 0, 0, 2, 0, -2], 'schur_index': 1}
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id: 13615277
{'cdim': 1, 'counter': 33, 'faithful': False, 'group': '960.4023', 'group_order': 960, 'image': None, 'label': '960.4023.1ag', 'multiplicity': 4, 'nt': [12, 1], 'qdim': 4, 'qvalues': [4, -4, 4, 4, -4, -4, 4, -4, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 4, 0, 0, 4, 0, -4, 0, 0, 0, -4, 0, -4, 0, -4, 4, -4, 4, 0, 4, 0, 4, 0, 4, 4, -2, -2, 2, 2, 2, 2, -2, -2, 2, 2, -2, -2, 2, 2, -4, 4, 4, -4, -4, 4, 4, 4, -4, -4, -4, -4, -4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, -2, -2, 0, 2, 0, 0, 0, -2, 0, 0, 0, 2, 2, 0, 2, -2, 0, 0, 0, -2, 0, 0, 0, 0, -2, 2, 0, 0, 2, -2, 0, -2, 2, 2, 0, 2, -2, 0, 0, 0, 2, 2, -2, -2, 0, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, -4, -4, 0, 0, -4, -4, 4, 4, 4, 0, 4, 0, 0, 0, 4, -4, -4, 0, 0, 0, 4, 4, 4, 0, -4, 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, 0, 0, -2, 0, 0, 0, 0, -2, 0, 0, -2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, -2, -2, 0, 0, -2, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 2, 0, -2, 0, -2, 0, -2, -2, -2, 0, 0, -2, 2, -2, 0, 0, -2, -2, 0, 2, 0, 0, 0, 2, 0, 2, 0], 'schur_index': 1}
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id: 13615278
{'cdim': 1, 'counter': 34, 'faithful': False, 'group': '960.4023', 'group_order': 960, 'image': None, 'label': '960.4023.1ah', 'multiplicity': 4, 'nt': [12, 1], 'qdim': 4, 'qvalues': [4, -4, 4, 4, -4, -4, 4, -4, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 4, 0, 0, 4, 0, -4, 0, 0, 0, 4, 0, 4, 0, 4, -4, 4, -4, 0, -4, 0, -4, 0, 4, 4, -2, -2, 2, 2, 2, 2, -2, -2, 2, 2, -2, -2, 2, 2, -4, 4, 4, -4, -4, 4, 4, 4, -4, -4, -4, -4, -4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, -2, -2, 0, 2, 0, 0, 0, -2, 0, 0, 0, 2, 2, 0, -2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, -2, 0, 0, -2, 2, 0, 2, -2, -2, 0, -2, 2, 0, 0, 0, -2, -2, 2, 2, 0, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, -4, -4, 0, 0, -4, -4, 4, 4, 4, 0, 4, 0, 0, 0, 4, -4, -4, 0, 0, 0, 4, 4, 4, 0, -4, 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, 0, 0, -2, 0, 0, 0, 0, -2, 0, 0, -2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, -2, -2, 0, 0, -2, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 2, 0, -2, 0, -2, 0, -2, -2, -2, 0, 0, -2, 2, -2, 0, 0, -2, -2, 0, 2, 0, 0, 0, 2, 0, 2, 0], 'schur_index': 1}
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id: 13615279
{'cdim': 1, 'counter': 35, 'faithful': False, 'group': '960.4023', 'group_order': 960, 'image': None, 'label': '960.4023.1ai', 'multiplicity': 4, 'nt': [12, 1], 'qdim': 4, 'qvalues': [4, -4, 4, 4, -4, -4, 4, -4, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, -4, 0, 0, -4, 0, 4, 0, 0, 0, -4, 0, -4, 0, 4, 4, 4, -4, 0, 4, 0, -4, 0, 4, 4, -2, -2, 2, 2, 2, 2, -2, -2, 2, 2, -2, -2, 2, 2, -4, 4, 4, -4, -4, 4, 4, 4, -4, -4, -4, -4, -4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, 2, 2, 0, -2, 0, 0, 0, 2, 0, 0, 0, -2, -2, 0, 2, 2, 0, 0, 0, -2, 0, 0, 0, 0, 2, -2, 0, 0, -2, -2, 0, -2, 2, 2, 0, -2, 2, 0, 0, 0, 2, -2, -2, 2, 0, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 4, 4, 0, 0, 4, 4, -4, -4, -4, 0, -4, 0, 0, 0, -4, 4, 4, 0, 0, 0, -4, -4, -4, 0, 4, 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, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, -2, -2, 0, -2, -2, 0, -2, 0, -2, 0, -2, -2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, -2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, -2, 2, 0, 0, 2, 2, 0, -2, 0, 0, 0, -2, 0, -2, 0], 'schur_index': 1}
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id: 13615280
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id: 13615281
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id: 13615282
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id: 13615283
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id: 13615285
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id: 13615290
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id: 13615291
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id: 13615292
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id: 13615293
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id: 13615294
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id: 13615296
{'cdim': 2, 'counter': 50, 'faithful': False, 'group': '960.4023', 'group_order': 960, 'image': None, 'label': '960.4023.2j', 'multiplicity': 2, 'nt': [10, 3], 'qdim': 4, 'qvalues': [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, -4, -4, -4, -4, -4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, -1, 1, -1, -1, -1, -1, 1, 1, -1, 1, 1, 1, -1, 1, 1, 1, 1, -1, 1, -1, 1, 1, 1, -1, 1, 1, 1, 1, 1, -1, 1, 1, 1, -1, 1, 1, 1, -1, 1, -1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, -1, -1, -1, -1, 1, -1, 1, 1, -1, 1, -1, -1, -1, -1, 1, -1, 1, 1, -1, 1, 1, 1, 1, 1, -1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, 1, 1, -1, 1, 1, 1, 1, -1, 1, 1, 1, -1, 1, 1, -1, -1, -1, 1, -1, 1, -1, -1, 1, 1, -1, 1, 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: 13615297
{'cdim': 2, 'counter': 51, 'faithful': False, 'group': '960.4023', 'group_order': 960, 'image': None, 'label': '960.4023.2k', 'multiplicity': 2, 'nt': [12, 14], 'qdim': 4, 'qvalues': [4, -4, -4, -4, -4, 4, 4, 4, -2, -2, -4, -4, -4, -4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 2, 2, -2, 2, -2, -2, -2, 2, -2, 2, -2, 2, 2, 2, -4, -4, -4, -4, -4, 4, -4, -4, 4, 4, 4, 4, -4, 4, -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, -2, -2, -2, -2, -4, -4, -4, 0, 4, 4, 4, 4, 0, 0, 4, 0, 0, 0, -4, 0, 0, 0, 0, -4, 0, 4, 0, 0, 0, 4, 0, 0, 0, 0, 0, -4, 0, 0, 0, 4, 0, 0, 0, -4, 0, -4, 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, 0, 0, -2, -2, 2, -2, 0, -2, 0, 0, 2, 0, -2, -2, -2, 2, 0, 2, 0, 0, -2, 0, 0, 0, 0, 0, -2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, -2, 0, 0, 0, 0, 2, 0, 0, 0, -2, 0, 0, -2, -2, -2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, -2, 0, 2], 'schur_index': 1}
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id: 13615298
{'cdim': 2, 'counter': 52, 'faithful': False, 'group': '960.4023', 'group_order': 960, 'image': None, 'label': '960.4023.2l', 'multiplicity': 2, 'nt': [12, 14], 'qdim': 4, 'qvalues': [4, -4, -4, -4, -4, 4, 4, 4, -2, -2, 4, 4, 4, 4, -4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 2, 2, -2, 2, -2, -2, -2, 2, -2, 2, -2, 2, 2, 2, -4, -4, -4, -4, -4, 4, -4, -4, 4, 4, 4, 4, -4, 4, 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, -2, -2, -2, -2, 4, 4, 4, 0, -4, -4, -4, -4, 0, 0, -4, 0, 0, 0, 4, 0, 0, 0, 0, 4, 0, -4, 0, 0, 0, -4, 0, 0, 0, 0, 0, 4, 0, 0, 0, -4, 0, 0, 0, 4, 0, 4, 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, 0, 0, 2, 2, -2, 2, 0, 2, 0, 0, -2, 0, 2, 2, 2, -2, 0, -2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 2, 0, 0, 0, 0, -2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, -2, 0, -2, -2, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 0, 0, 0, 0, -2, -2, 0, 0, 2, 0, -2], 'schur_index': 1}
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id: 13615299
{'cdim': 2, 'counter': 53, 'faithful': False, 'group': '960.4023', 'group_order': 960, 'image': None, 'label': '960.4023.2m', 'multiplicity': 2, 'nt': [24, 4], 'qdim': 4, 'qvalues': [4, 4, 4, -4, -4, -4, -4, 4, -2, -2, -4, -4, 4, 4, 4, 4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 2, 2, -2, 2, 2, 2, 2, -2, -2, -2, 2, -2, -2, 2, 4, -4, -4, 4, -4, -4, 4, 4, 4, 4, -4, -4, -4, -4, 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, -2, -2, -2, -2, -4, -4, -4, 0, 4, -4, 4, 4, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 0, -4, 0, -4, 0, 0, 0, -4, 0, 0, 0, 0, 0, 4, 0, 0, 0, -4, 0, 0, 0, 4, 0, 4, 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, 0, 0, -2, -2, -2, 2, 0, 2, 0, 0, -2, 0, -2, 2, -2, 2, 0, 2, 0, 0, -2, 0, 0, 0, 0, 0, -2, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 2, 0, 0, 0, 0, -2, 0, 0, 0, -2, 0, 0, 2, 2, -2, 0, -2, 0, 2, 2, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, -2, 0, 0, 2, 0, 2], 'schur_index': 1}
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id: 13615300
{'cdim': 2, 'counter': 54, 'faithful': False, 'group': '960.4023', 'group_order': 960, 'image': None, 'label': '960.4023.2n', 'multiplicity': 2, 'nt': [24, 4], 'qdim': 4, 'qvalues': [4, 4, 4, -4, -4, -4, -4, 4, -2, -2, 4, 4, -4, -4, -4, -4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 2, 2, -2, 2, 2, 2, 2, -2, -2, -2, 2, -2, -2, 2, 4, -4, -4, 4, -4, -4, 4, 4, 4, 4, -4, -4, -4, -4, -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, -2, -2, -2, -2, 4, 4, 4, 0, -4, 4, -4, -4, 0, 0, -4, 0, 0, 0, -4, 0, 0, 0, 0, 4, 0, 4, 0, 0, 0, 4, 0, 0, 0, 0, 0, -4, 0, 0, 0, 4, 0, 0, 0, -4, 0, -4, 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, 0, 0, 2, 2, 2, -2, 0, -2, 0, 0, 2, 0, 2, -2, 2, -2, 0, -2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, -2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, -2, -2, 2, 0, 2, 0, -2, -2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 0, 0, 0, 0, -2, 2, 0, 0, -2, 0, -2], 'schur_index': 1}
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id: 13615301
{'cdim': 2, 'counter': 55, 'faithful': False, 'group': '960.4023', 'group_order': 960, 'image': None, 'label': '960.4023.2o', 'multiplicity': 4, 'nt': [15, 3], 'qdim': 8, 'qvalues': [8, 8, 8, 8, 8, 8, 8, 8, -4, -4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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: 13615302
{'cdim': 2, 'counter': 56, 'faithful': False, 'group': '960.4023', 'group_order': 960, 'image': None, 'label': '960.4023.2p', 'multiplicity': 4, 'nt': [20, 6], 'qdim': 8, 'qvalues': [8, -8, -8, 8, 8, -8, -8, 8, 8, 8, -8, -8, 8, 8, -8, -8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 8, 8, 8, 8, -8, -8, -8, -8, 8, -8, -8, -8, -8, 8, 2, -2, -2, 2, -2, 2, 2, 2, -2, -2, 2, 2, -2, 2, 8, -8, 8, -8, 8, 8, 8, -8, 8, 8, 8, -8, -8, -8, -8, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, 2, 2, 2, 0, 2, -2, 2, 2, 0, 0, 2, 0, 0, 0, -2, 0, 0, 0, 0, 2, 0, -2, 0, 0, 0, -2, 0, 0, 0, 0, 0, -2, 0, 0, 0, -2, 0, 0, 0, -2, 0, -2, 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, 0, 0, 2, 2, -2, -2, 0, -2, 0, 0, -2, 0, 2, -2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, -2, 0, 0, 0, 0, -2, 0, 0, 0, 2, 0, 0, -2, -2, 2, 0, -2, 0, 2, 2, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, -2, 0, 0, -2, 0, 2], 'schur_index': 1}
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id: 13615303
{'cdim': 2, 'counter': 57, 'faithful': False, 'group': '960.4023', 'group_order': 960, 'image': None, 'label': '960.4023.2q', 'multiplicity': 4, 'nt': [20, 6], 'qdim': 8, 'qvalues': [8, -8, -8, 8, 8, -8, -8, 8, 8, 8, 8, 8, -8, -8, 8, 8, -8, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 8, 8, 8, 8, -8, -8, -8, -8, 8, -8, -8, -8, -8, 8, 2, -2, -2, 2, -2, 2, 2, 2, -2, -2, 2, 2, -2, 2, -8, 8, -8, 8, -8, -8, -8, 8, -8, -8, -8, 8, 8, 8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, -2, 0, -2, 2, -2, -2, 0, 0, -2, 0, 0, 0, 2, 0, 0, 0, 0, -2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 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, 0, 0, -2, -2, 2, 2, 0, 2, 0, 0, 2, 0, -2, 2, -2, -2, 0, -2, 0, 0, -2, 0, 0, 0, 0, 0, -2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, -2, 0, 0, 2, 2, -2, 0, 2, 0, -2, -2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 0, 0, 0, 0, -2, 2, 0, 0, 2, 0, -2], 'schur_index': 1}
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id: 13615304
{'cdim': 2, 'counter': 58, 'faithful': False, 'group': '960.4023', 'group_order': 960, 'image': None, 'label': '960.4023.2r', 'multiplicity': 4, 'nt': [20, 6], 'qdim': 8, 'qvalues': [8, -8, 8, 8, -8, -8, 8, -8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 8, 0, 0, 8, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 8, 8, -8, -8, -8, -8, 8, 8, -8, -8, 8, 8, -8, -8, 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, -8, 8, 8, 8, 0, -8, 0, 0, 0, 8, 0, 0, 0, -8, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, -2, -2, -2, 0, -2, 0, 0, 0, -2, 2, 2, 0, 0, 0, -2, -2, -2, 0, 2, 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, 0, 0, -2, 0, 0, 0, 0, -2, 0, 0, -2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, -2, -2, 0, 0, -2, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 2, 0, -2, 0, -2, 0, -2, -2, -2, 0, 0, -2, 2, -2, 0, 0, -2, -2, 0, 2, 0, 0, 0, 2, 0, 2, 0], 'schur_index': 1}
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id: 13615305
{'cdim': 2, 'counter': 59, 'faithful': False, 'group': '960.4023', 'group_order': 960, 'image': None, 'label': '960.4023.2s', 'multiplicity': 4, 'nt': [20, 6], 'qdim': 8, 'qvalues': [8, -8, 8, 8, -8, -8, 8, -8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, -8, 0, 0, -8, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 8, 8, -8, -8, -8, -8, 8, 8, -8, -8, 8, 8, -8, -8, 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, 8, -8, -8, -8, 0, 8, 0, 0, 0, -8, 0, 0, 0, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, -2, -2, 0, 0, -2, -2, 2, 2, 2, 0, 2, 0, 0, 0, 2, -2, -2, 0, 0, 0, 2, 2, 2, 0, -2, 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, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, -2, -2, 0, -2, -2, 0, -2, 0, -2, 0, -2, -2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, -2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, -2, 2, 0, 0, 2, 2, 0, -2, 0, 0, 0, -2, 0, -2, 0], 'schur_index': 1}
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id: 13615307
{'cdim': 2, 'counter': 60, 'faithful': False, 'group': '960.4023', 'group_order': 960, 'image': None, 'label': '960.4023.2t', 'multiplicity': 4, 'nt': [20, 6], 'qdim': 8, 'qvalues': [8, 8, -8, 8, -8, 8, -8, -8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, -8, 8, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 8, 8, -8, -8, 8, 8, -8, -8, -8, 8, -8, -8, 8, -8, -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, 8, 0, 0, 0, 0, -8, 0, -8, -8, 8, 0, 8, -8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, -2, 2, -2, 0, -2, -2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, -2, 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, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, -2, 2, 0, 2, -2, 0, 2, 0, -2, 2, -2, -2, -2, -2, -2, 2, 2, 0, -2, 0, 0, 0, 0, 0, -2, 0, 0, 0, -2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, -2, 0, 0, 0, 2, 0, -2, 0, 0, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 2, 0, 0, 0, 0], 'schur_index': 1}
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id: 13615308
{'cdim': 2, 'counter': 61, 'faithful': False, 'group': '960.4023', 'group_order': 960, 'image': None, 'label': '960.4023.2u', 'multiplicity': 4, 'nt': [20, 6], 'qdim': 8, 'qvalues': [8, 8, -8, 8, -8, 8, -8, -8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 8, -8, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 8, 8, -8, -8, 8, 8, -8, -8, -8, 8, -8, -8, 8, -8, -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, -8, 0, 0, 0, 0, 8, 0, 8, 8, -8, 0, -8, 8, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, 0, 0, 0, -2, 0, 0, 0, 0, -2, -2, 0, 2, -2, 2, 0, 2, 2, -2, -2, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 2, 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, 0, -2, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, -2, 0, -2, -2, 0, 2, -2, 0, -2, 2, 0, -2, 0, 2, -2, 2, 2, 2, 2, 2, -2, -2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, -2, 0, 0, -2, 0, 0, 0, 0, 0, -2, 0, 0, 2, 0, 0, 0, -2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, -2, 0, 0, 0, 0], 'schur_index': 1}
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id: 13615309
{'cdim': 2, 'counter': 62, 'faithful': False, 'group': '960.4023', 'group_order': 960, 'image': None, 'label': '960.4023.2v', 'multiplicity': 4, 'nt': [20, 7], 'qdim': 8, 'qvalues': [8, -8, -8, -8, -8, 8, 8, 8, 8, 8, -8, -8, -8, -8, 8, 8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -8, -8, 8, -8, 8, 8, 8, -8, 8, -8, 8, -8, -8, -8, 2, 2, 2, 2, 2, -2, 2, 2, -2, -2, -2, -2, 2, -2, 8, -8, 8, -8, -8, -8, 8, 8, -8, 8, -8, -8, 8, 8, 8, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, 2, 2, 2, 0, -2, -2, -2, -2, 0, 0, -2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, -2, 0, 0, 0, -2, 0, 0, 0, 0, 0, 2, 0, 0, 0, -2, 0, 0, 0, 2, 0, 2, 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, 0, 0, -2, -2, 2, -2, 0, -2, 0, 0, 2, 0, -2, -2, -2, 2, 0, 2, 0, 0, -2, 0, 0, 0, 0, 0, -2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, -2, 0, 0, 0, 0, 2, 0, 0, 0, -2, 0, 0, -2, -2, -2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, -2, 0, 2], 'schur_index': 1}
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id: 13615310
{'cdim': 2, 'counter': 63, 'faithful': False, 'group': '960.4023', 'group_order': 960, 'image': None, 'label': '960.4023.2w', 'multiplicity': 4, 'nt': [20, 7], 'qdim': 8, 'qvalues': [8, -8, -8, -8, -8, 8, 8, 8, 8, 8, 8, 8, 8, 8, -8, -8, -8, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -8, -8, 8, -8, 8, 8, 8, -8, 8, -8, 8, -8, -8, -8, 2, 2, 2, 2, 2, -2, 2, 2, -2, -2, -2, -2, 2, -2, -8, 8, -8, 8, 8, 8, -8, -8, 8, -8, 8, 8, -8, -8, -8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, -2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, -2, 0, 0, 0, 0, -2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, -2, 0, 0, 0, 2, 0, 0, 0, -2, 0, -2, 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, 0, 0, 2, 2, -2, 2, 0, 2, 0, 0, -2, 0, 2, 2, 2, -2, 0, -2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 2, 0, 0, 0, 0, -2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, -2, 0, -2, -2, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 0, 0, 0, 0, -2, -2, 0, 0, 2, 0, -2], 'schur_index': 1}
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id: 13615311
{'cdim': 2, 'counter': 64, 'faithful': False, 'group': '960.4023', 'group_order': 960, 'image': None, 'label': '960.4023.2x', 'multiplicity': 4, 'nt': [24, 17], 'qdim': 8, 'qvalues': [8, -8, 8, -8, 8, 8, -8, -8, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 4, 4, 4, -4, -4, -4, 4, -4, 4, 4, 4, -4, 4, -4, -8, -8, -8, -8, 8, -8, 8, 8, -8, -8, 8, 8, 8, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, -4, -4, -4, 4, -4, -4, 4, 4, -4, 4, 4, 4, -4, 4, 4, -4, 4, 4, -4, -4, -4, 4, -4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 13615312
{'cdim': 2, 'counter': 65, 'faithful': False, 'group': '960.4023', 'group_order': 960, 'image': None, 'label': '960.4023.2y', 'multiplicity': 4, 'nt': [24, 17], 'qdim': 8, 'qvalues': [8, 8, -8, -8, 8, -8, 8, -8, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 4, 4, 4, -4, 4, 4, -4, 4, 4, -4, -4, 4, -4, -4, 8, -8, -8, 8, 8, 8, -8, -8, -8, -8, -8, -8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -4, 4, -4, 4, -4, -4, 4, 4, 4, 4, -4, -4, 4, 4, 4, 4, -4, 4, 4, 4, -4, 4, -4, 4, 4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 13615313
{'cdim': 2, 'counter': 66, 'faithful': False, 'group': '960.4023', 'group_order': 960, 'image': None, 'label': '960.4023.2z', 'multiplicity': 4, 'nt': [30, 5], 'qdim': 8, 'qvalues': [8, 8, 8, 8, 8, 8, 8, 8, -4, -4, -8, -8, -8, -8, -8, -8, -8, -8, -8, 8, -8, 8, 8, -8, 8, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, -4, 4, 4, 4, 4, -4, 4, -4, -4, -4, 4, -4, -4, -4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, -2, 2, 2, 2, 2, -2, -2, 2, -2, -2, -2, 2, -2, -2, -2, -2, 2, 2, 2, 2, 2, -2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, 2, 2, 2, 2, 2, -2, 2, 2, 2, 2, -2, 2, -2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, -1, -1, -1, -1, -1, -1, -1, 1, -1, -1, -1, -1, -1, -1, -1, 1, -1, 1, 1, -1, 1, 1, -1, 1, 1, -1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, -1, -1, -1, -1, -1, 1, -1, -1, -1, 1, -1, -1, -1, -1, -1, 1, -1, -1, 1, -1, -1, -1, -1, -1, 1, -1, -1, 1, -1, -1, -1, 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}
-
id: 13615314
{'cdim': 2, 'counter': 67, 'faithful': False, 'group': '960.4023', 'group_order': 960, 'image': None, 'label': '960.4023.2aa', 'multiplicity': 4, 'nt': [30, 5], 'qdim': 8, 'qvalues': [8, 8, 8, 8, 8, 8, 8, 8, -4, -4, -8, -8, -8, -8, -8, -8, -8, -8, 8, -8, 8, -8, -8, 8, -8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, -4, -4, -4, -4, 4, -4, 4, 4, 4, -4, 4, 4, 4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, 2, -2, -2, 2, 2, -2, -2, -2, -2, -2, 2, -2, 2, 2, 2, -2, -2, -2, 2, 2, 2, -2, -2, -2, 2, -2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, -1, -1, -1, -1, 1, -1, -1, 1, -1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, 1, 1, -1, 1, 1, -1, 1, -1, 1, -1, 1, 1, -1, 1, 1, -1, -1, 1, -1, -1, -1, -1, 1, -1, -1, -1, -1, -1, 1, -1, 1, -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: 13615315
{'cdim': 2, 'counter': 68, 'faithful': False, 'group': '960.4023', 'group_order': 960, 'image': None, 'label': '960.4023.2ab', 'multiplicity': 4, 'nt': [30, 5], 'qdim': 8, 'qvalues': [8, 8, 8, 8, 8, 8, 8, 8, -4, -4, 8, 8, 8, 8, 8, 8, 8, 8, -8, -8, -8, -8, -8, -8, -8, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, -2, -2, -2, 2, -2, -2, -2, -2, 2, 2, -2, 2, 2, 2, -2, 2, 2, 2, 2, -2, 2, -2, 2, 2, 2, -2, 2, 2, 2, 2, 2, -2, 2, 2, 2, -2, 2, 2, 2, -2, 2, -2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, 1, 1, 1, -1, 1, -1, -1, 1, -1, 1, 1, 1, 1, -1, 1, -1, -1, 1, -1, -1, -1, -1, -1, 1, -1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, -1, -1, -1, 1, -1, -1, -1, -1, 1, -1, -1, -1, 1, -1, -1, 1, 1, 1, -1, 1, -1, 1, 1, -1, -1, 1, -1, -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}
-
id: 13615316
{'cdim': 2, 'counter': 69, 'faithful': False, 'group': '960.4023', 'group_order': 960, 'image': None, 'label': '960.4023.2ac', 'multiplicity': 4, 'nt': [40, 8], 'qdim': 8, 'qvalues': [8, 8, 8, -8, -8, -8, -8, 8, 8, 8, -8, -8, 8, 8, 8, 8, -8, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -8, -8, 8, -8, -8, -8, -8, 8, 8, 8, -8, 8, 8, -8, -2, 2, 2, -2, 2, 2, -2, -2, -2, -2, 2, 2, 2, 2, -8, -8, -8, -8, 8, 8, -8, 8, 8, -8, 8, -8, 8, 8, 8, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, 2, 2, 2, 0, -2, 2, -2, -2, 0, 0, -2, 0, 0, 0, -2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, -2, 0, 0, 0, 2, 0, 0, 0, -2, 0, -2, 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, 0, 0, -2, -2, -2, 2, 0, 2, 0, 0, -2, 0, -2, 2, -2, 2, 0, 2, 0, 0, -2, 0, 0, 0, 0, 0, -2, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 2, 0, 0, 0, 0, -2, 0, 0, 0, -2, 0, 0, 2, 2, -2, 0, -2, 0, 2, 2, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, -2, 0, 0, 2, 0, 2], 'schur_index': 2}
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id: 13615318
{'cdim': 2, 'counter': 70, 'faithful': False, 'group': '960.4023', 'group_order': 960, 'image': None, 'label': '960.4023.2ad', 'multiplicity': 4, 'nt': [40, 8], 'qdim': 8, 'qvalues': [8, 8, 8, -8, -8, -8, -8, 8, 8, 8, 8, 8, -8, -8, -8, -8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -8, -8, 8, -8, -8, -8, -8, 8, 8, 8, -8, 8, 8, -8, -2, 2, 2, -2, 2, 2, -2, -2, -2, -2, 2, 2, 2, 2, 8, 8, 8, 8, -8, -8, 8, -8, -8, 8, -8, 8, -8, -8, -8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, -2, 0, 2, -2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, -2, 0, -2, 0, 0, 0, -2, 0, 0, 0, 0, 0, 2, 0, 0, 0, -2, 0, 0, 0, 2, 0, 2, 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, 0, 0, 2, 2, 2, -2, 0, -2, 0, 0, 2, 0, 2, -2, 2, -2, 0, -2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, -2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, -2, -2, 2, 0, 2, 0, -2, -2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 0, 0, 0, 0, -2, 2, 0, 0, -2, 0, -2], 'schur_index': 2}
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id: 13615319
{'cdim': 2, 'counter': 71, 'faithful': False, 'group': '960.4023', 'group_order': 960, 'image': None, 'label': '960.4023.2ae', 'multiplicity': 8, 'nt': [40, 23], 'qdim': 16, 'qvalues': [16, -16, 16, -16, 16, 16, -16, -16, 16, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -16, -16, -16, 16, 16, 16, -16, 16, -16, -16, -16, 16, -16, 16, 4, 4, 4, 4, -4, 4, -4, -4, 4, 4, -4, -4, -4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, -4, -4, -4, 4, -4, -4, 4, 4, -4, 4, 4, 4, -4, 4, 4, -4, 4, 4, -4, -4, -4, 4, -4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 13615320
{'cdim': 2, 'counter': 72, 'faithful': False, 'group': '960.4023', 'group_order': 960, 'image': None, 'label': '960.4023.2af', 'multiplicity': 8, 'nt': [40, 23], 'qdim': 16, 'qvalues': [16, 16, -16, -16, 16, -16, 16, -16, 16, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -16, -16, -16, 16, -16, -16, 16, -16, -16, 16, 16, -16, 16, 16, -4, 4, 4, -4, -4, -4, 4, 4, 4, 4, 4, 4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -4, 4, -4, 4, -4, -4, 4, 4, 4, 4, -4, -4, 4, 4, 4, 4, -4, 4, 4, 4, -4, 4, -4, 4, 4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 13615321
{'cdim': 2, 'counter': 73, 'faithful': False, 'group': '960.4023', 'group_order': 960, 'image': None, 'label': '960.4023.2ag', 'multiplicity': 8, 'nt': [60, 0], 'qdim': 16, 'qvalues': [16, -16, -16, -16, -16, 16, 16, 16, -8, -8, -16, -16, -16, -16, 16, 16, 16, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, 8, 8, -8, 8, -8, -8, -8, 8, -8, 8, -8, 8, 8, 8, 4, 4, 4, 4, 4, -4, 4, 4, -4, -4, -4, -4, 4, -4, -8, 8, -8, 8, 8, 8, -8, -8, 8, -8, 8, 8, -8, -8, -8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 4, 4, 4, 0, -4, -4, -4, -4, 0, 0, -4, 0, 0, 0, 4, 0, 0, 0, 0, 4, 0, -4, 0, 0, 0, -4, 0, 0, 0, 0, 0, 4, 0, 0, 0, -4, 0, 0, 0, 4, 0, 4, 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, 0, 0, 2, 2, -2, 2, 0, 2, 0, 0, -2, 0, 2, 2, 2, -2, 0, -2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 2, 0, 0, 0, 0, -2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, -2, 0, -2, -2, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 0, 0, 0, 0, -2, -2, 0, 0, 2, 0, -2], 'schur_index': 1}
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id: 13615322
{'cdim': 2, 'counter': 74, 'faithful': False, 'group': '960.4023', 'group_order': 960, 'image': None, 'label': '960.4023.2ah', 'multiplicity': 8, 'nt': [60, 0], 'qdim': 16, 'qvalues': [16, -16, -16, -16, -16, 16, 16, 16, -8, -8, 16, 16, 16, 16, -16, -16, -16, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, 8, 8, -8, 8, -8, -8, -8, 8, -8, 8, -8, 8, 8, 8, 4, 4, 4, 4, 4, -4, 4, 4, -4, -4, -4, -4, 4, -4, 8, -8, 8, -8, -8, -8, 8, 8, -8, 8, -8, -8, 8, 8, 8, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, -4, -4, -4, 0, 4, 4, 4, 4, 0, 0, 4, 0, 0, 0, -4, 0, 0, 0, 0, -4, 0, 4, 0, 0, 0, 4, 0, 0, 0, 0, 0, -4, 0, 0, 0, 4, 0, 0, 0, -4, 0, -4, 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, 0, 0, -2, -2, 2, -2, 0, -2, 0, 0, 2, 0, -2, -2, -2, 2, 0, 2, 0, 0, -2, 0, 0, 0, 0, 0, -2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, -2, 0, 0, 0, 0, 2, 0, 0, 0, -2, 0, 0, -2, -2, -2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, -2, 0, 2], 'schur_index': 1}
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id: 13615323
{'cdim': 2, 'counter': 75, 'faithful': False, 'group': '960.4023', 'group_order': 960, 'image': None, 'label': '960.4023.2ai', 'multiplicity': 8, 'nt': [60, 0], 'qdim': 16, 'qvalues': [16, -16, -16, 16, 16, -16, -16, 16, -8, -8, -16, -16, 16, 16, -16, -16, 16, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -8, -8, -8, -8, 8, 8, 8, 8, -8, 8, 8, 8, 8, -8, 4, -4, -4, 4, -4, 4, 4, 4, -4, -4, 4, 4, -4, 4, -8, 8, -8, 8, -8, -8, -8, 8, -8, -8, -8, 8, 8, 8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 4, 4, 4, 0, 4, -4, 4, 4, 0, 0, 4, 0, 0, 0, -4, 0, 0, 0, 0, 4, 0, -4, 0, 0, 0, -4, 0, 0, 0, 0, 0, -4, 0, 0, 0, -4, 0, 0, 0, -4, 0, -4, 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, 0, 0, -2, -2, 2, 2, 0, 2, 0, 0, 2, 0, -2, 2, -2, -2, 0, -2, 0, 0, -2, 0, 0, 0, 0, 0, -2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, -2, 0, 0, 2, 2, -2, 0, 2, 0, -2, -2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 0, 0, 0, 0, -2, 2, 0, 0, 2, 0, -2], 'schur_index': 1}
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id: 13615324
{'cdim': 2, 'counter': 76, 'faithful': False, 'group': '960.4023', 'group_order': 960, 'image': None, 'label': '960.4023.2aj', 'multiplicity': 8, 'nt': [60, 0], 'qdim': 16, 'qvalues': [16, -16, -16, 16, 16, -16, -16, 16, -8, -8, 16, 16, -16, -16, 16, 16, -16, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -8, -8, -8, -8, 8, 8, 8, 8, -8, 8, 8, 8, 8, -8, 4, -4, -4, 4, -4, 4, 4, 4, -4, -4, 4, 4, -4, 4, 8, -8, 8, -8, 8, 8, 8, -8, 8, 8, 8, -8, -8, -8, -8, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, -4, -4, -4, 0, -4, 4, -4, -4, 0, 0, -4, 0, 0, 0, 4, 0, 0, 0, 0, -4, 0, 4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 4, 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, 0, 0, 2, 2, -2, -2, 0, -2, 0, 0, -2, 0, 2, -2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, -2, 0, 0, 0, 0, -2, 0, 0, 0, 2, 0, 0, -2, -2, 2, 0, -2, 0, 2, 2, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, -2, 0, 0, -2, 0, 2], 'schur_index': 1}
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id: 13615325
{'cdim': 2, 'counter': 77, 'faithful': False, 'group': '960.4023', 'group_order': 960, 'image': None, 'label': '960.4023.2ak', 'multiplicity': 8, 'nt': [60, 0], 'qdim': 16, 'qvalues': [16, -16, 16, 16, -16, -16, 16, -16, -8, -8, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 16, 0, 0, 16, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -8, -8, 8, 8, 8, 8, -8, -8, 8, 8, -8, -8, 8, 8, 4, -4, -4, 4, 4, -4, -4, -4, 4, 4, 4, 4, 4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, -8, -8, -8, 0, 8, 0, 0, 0, -8, 0, 0, 0, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 4, 4, 0, 0, 4, 4, -4, -4, -4, 0, -4, 0, 0, 0, -4, 4, 4, 0, 0, 0, -4, -4, -4, 0, 4, 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, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, -2, -2, 0, -2, -2, 0, -2, 0, -2, 0, -2, -2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, -2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, -2, 2, 0, 0, 2, 2, 0, -2, 0, 0, 0, -2, 0, -2, 0], 'schur_index': 1}
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id: 13615326
{'cdim': 2, 'counter': 78, 'faithful': False, 'group': '960.4023', 'group_order': 960, 'image': None, 'label': '960.4023.2al', 'multiplicity': 8, 'nt': [60, 0], 'qdim': 16, 'qvalues': [16, -16, 16, 16, -16, -16, 16, -16, -8, -8, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, -16, 0, 0, -16, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -8, -8, 8, 8, 8, 8, -8, -8, 8, 8, -8, -8, 8, 8, 4, -4, -4, 4, 4, -4, -4, -4, 4, 4, 4, 4, 4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 8, 8, 8, 0, -8, 0, 0, 0, 8, 0, 0, 0, -8, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, -4, -4, 0, 0, -4, -4, 4, 4, 4, 0, 4, 0, 0, 0, 4, -4, -4, 0, 0, 0, 4, 4, 4, 0, -4, 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, 0, 0, -2, 0, 0, 0, 0, -2, 0, 0, -2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, -2, -2, 0, 0, -2, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 2, 0, -2, 0, -2, 0, -2, -2, -2, 0, 0, -2, 2, -2, 0, 0, -2, -2, 0, 2, 0, 0, 0, 2, 0, 2, 0], 'schur_index': 1}
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id: 13615327
{'cdim': 2, 'counter': 79, 'faithful': False, 'group': '960.4023', 'group_order': 960, 'image': None, 'label': '960.4023.2am', 'multiplicity': 8, 'nt': [60, 0], 'qdim': 16, 'qvalues': [16, 16, -16, 16, -16, 16, -16, -16, -8, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, -16, 16, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -8, -8, 8, 8, -8, -8, 8, 8, 8, -8, 8, 8, -8, 8, -4, -4, -4, -4, 4, 4, 4, 4, 4, 4, -4, -4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 8, 0, 8, 8, -8, 0, -8, 8, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 4, 0, 0, 0, 0, 4, 4, 0, -4, 4, -4, 0, -4, -4, 4, 4, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, -4, 0, -4, -2, 2, 2, -2, -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, -2, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, -2, 0, -2, -2, 0, 2, -2, 0, -2, 2, 0, -2, 0, 2, -2, 2, 2, 2, 2, 2, -2, -2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, -2, 0, 0, -2, 0, 0, 0, 0, 0, -2, 0, 0, 2, 0, 0, 0, -2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, -2, 0, 0, 0, 0], 'schur_index': 1}
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id: 13615329
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id: 13615330
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id: 13615331
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id: 13615332
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id: 13615333
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gps_char • Show schema
Hide schema
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id: 32190800
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id: 32191052
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id: 32191053
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id: 32191054
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id: 32191055
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id: 32191056
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id: 32191058
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id: 32191059
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id: 32191060
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id: 32191061
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id: 32191062
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id: 32191063
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id: 32191064
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id: 32191065
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id: 32191066
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id: 32191067
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id: 32191069
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id: 32191070
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id: 32191071
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id: 32191072
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id: 32191073
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id: 32191074
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id: 32191075
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id: 32191076
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id: 32191077
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id: 32191078
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id: 32191080
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id: 32191081
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id: 32191082
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id: 32191083
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id: 32191084
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id: 32191085
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id: 32191086
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id: 32191087
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id: 32191088
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id: 32191089
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id: 32191091
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id: 32191092
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id: 32191093
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id: 32191094
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id: 32191095
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id: 32191096
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id: 32191097
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id: 32191098
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id: 32191099
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id: 32191100
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id: 32191102
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id: 32191103
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id: 32191104
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id: 32191105
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id: 32191106
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id: 32191107
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id: 32191108
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id: 32190911
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id: 32191022
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id: 32191046
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id: 32191057
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id: 32191068
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id: 32191079
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id: 32191090
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id: 32191101
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id: 32190801
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id: 32190812
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id: 32190823
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id: 32190834
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id: 32190845
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id: 32190856
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id: 32190867
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id: 32190878
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id: 32190889
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id: 32190900
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id: 32190912
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id: 32190923
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id: 32190934
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id: 32190945
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id: 32190956
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id: 32190967
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id: 32190978
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id: 32190989
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id: 32191000
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id: 32191011
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id: 32191023
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id: 32191034
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id: 32191038
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id: 32191039
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id: 32191040
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id: 32191041
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id: 32191042
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id: 32191043
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id: 32191044
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id: 32191045
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id: 32191047
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id: 32191048
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id: 32191049
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id: 32191050
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id: 32191051
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id: 32191109
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id: 32190877
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id: 32190879
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id: 32190880
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id: 32190881
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id: 32190882
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id: 32190883
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id: 32190884
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id: 32190885
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id: 32190886
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id: 32190887
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id: 32190888
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id: 32190890
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id: 32190891
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id: 32190892
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id: 32190893
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id: 32190894
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id: 32190895
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id: 32190896
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id: 32190897
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id: 32190898
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id: 32190899
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id: 32190901
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id: 32190902
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id: 32190903
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id: 32190904
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id: 32190905
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id: 32190906
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id: 32190907
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id: 32190908
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id: 32190909
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id: 32190910
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id: 32190913
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id: 32190914
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-
id: 32190915
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id: 32190916
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-
id: 32190917
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-
id: 32190918
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-
id: 32190919
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id: 32190920
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id: 32190921
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id: 32190922
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-
id: 32190924
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id: 32190925
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-
id: 32190926
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id: 32190927
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id: 32190928
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id: 32190929
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id: 32190930
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id: 32190931
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id: 32190932
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id: 32190933
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id: 32190935
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id: 32190936
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id: 32190937
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id: 32190938
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id: 32190939
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id: 32190940
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id: 32190941
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id: 32190942
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id: 32190943
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id: 32190944
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-
id: 32190946
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id: 32190947
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id: 32190948
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-
id: 32190949
{'center': '10.a1', 'center_index': 10, 'center_order': 96, 'counter': 233, 'cyclotomic_n': 60, 'dim': 2, 'faithful': False, 'field': [1, 0, -3, 0, 8, 0, -3, 0, 1], 'group': '960.4023', 'group_counter': 4023, 'group_order': 960, 'image': None, 'image_isoclass': '120.17', 'image_order': 120, 'indicator': 0, 'kernel': '120.c1', 'kernel_order': 8, 'label': '960.4023.2ak1', 'nt': [60, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 10]], [[2, 20]], [[-2, 15]], [[2, 15]], [[-2, 15]], [[2, 15]], [[2, 15]], [[-2, 15]], [[2, 15]], [[-2, 15]], [[-2, 0]], [[-2, 15]], [[2, 0]], [[2, 15]], [[-2, 15]], [[2, 0]], [[2, 15]], [[-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]], [[-1, 6], [-1, -6]], [[1, 12], [1, -12]], [[2, 20]], [[-2, 10]], [[-2, 20]], [[-2, 20]], [[-2, 20]], [[2, 10]], [[2, 20]], [[-2, 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id: 32190950
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id: 32190951
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id: 32190952
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id: 32190953
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id: 32190954
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id: 32190955
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id: 32190957
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id: 32190958
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id: 32190959
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id: 32190960
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id: 32190961
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-
id: 32190962
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id: 32190963
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id: 32190964
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-
id: 32190965
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id: 32190966
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id: 32190968
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id: 32190969
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id: 32190970
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id: 32190971
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-
id: 32190972
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id: 32190973
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id: 32190974
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-
id: 32190975
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id: 32190976
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id: 32190977
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-
id: 32190979
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id: 32190980
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id: 32190981
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-
id: 32190982
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id: 32190983
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id: 32190984
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id: 32190985
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id: 32190986
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id: 32190987
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-
id: 32190988
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id: 32190990
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id: 32190991
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id: 32190992
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id: 32190993
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id: 32190994
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id: 32190995
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id: 32190996
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id: 32190997
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id: 32190998
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id: 32190999
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id: 32191001
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-
id: 32191002
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-
id: 32191012
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-
id: 32191013
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id: 32191014
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-
id: 32191015
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id: 32191016
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id: 32191017
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id: 32191018
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-
id: 32191003
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id: 32191004
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-
id: 32191005
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id: 32191006
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-
id: 32191007
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id: 32191008
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-
id: 32191009
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id: 32191010
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-
id: 32191019
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id: 32191030
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-
id: 32191031
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id: 32191032
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-
id: 32191033
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id: 32191035
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-
id: 32191036
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id: 32191037
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-
id: 32191020
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id: 32191021
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-
id: 32191024
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id: 32191025
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id: 32191026
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id: 32191027
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-
id: 32191028
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id: 32191029
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id: 32191110
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id: 32191111
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id: 32190802
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id: 32190803
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id: 32190804
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id: 32190805
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id: 32190806
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id: 32190807
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id: 32190808
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id: 32190809
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id: 32190810
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id: 32190811
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id: 32190813
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id: 32190814
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id: 32190815
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id: 32190816
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id: 32190817
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id: 32190818
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id: 32190819
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id: 32190820
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id: 32190821
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id: 32190822
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id: 32190824
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id: 32190825
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-
id: 32190826
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id: 32190827
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id: 32190828
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id: 32190829
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id: 32190830
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id: 32190831
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id: 32190832
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id: 32190833
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id: 32190835
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id: 32190836
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id: 32190837
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id: 32190838
{'center': '10.a1', 'center_index': 10, 'center_order': 96, 'counter': 133, 'cyclotomic_n': 20, 'dim': 2, 'faithful': False, 'field': [1, 0, 3, 0, 1], 'group': '960.4023', 'group_counter': 4023, 'group_order': 960, 'image': None, 'image_isoclass': '40.5', 'image_order': 40, 'indicator': 0, 'kernel': '40.c1', 'kernel_order': 24, 'label': '960.4023.2r1', 'nt': [20, 6], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 5]], [[2, 5]], [[-2, 5]], [[2, 5]], [[2, 5]], [[-2, 5]], [[2, 5]], [[-2, 5]], [[-2, 0]], [[-2, 5]], [[2, 0]], [[2, 5]], [[-2, 5]], [[2, 0]], [[2, 5]], [[-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]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], 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id: 32190839
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id: 32190840
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id: 32190841
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id: 32190842
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id: 32190843
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id: 32190844
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id: 32190846
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id: 32190847
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id: 32190848
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id: 32190849
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id: 32190850
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id: 32190851
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id: 32190852
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id: 32190853
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id: 32190854
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id: 32190855
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id: 32190857
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id: 32190858
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id: 32190859
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id: 32190860
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id: 32190861
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id: 32190862
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id: 32190863
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id: 32190864
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id: 32190865
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id: 32190866
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id: 32190868
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id: 32190869
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id: 32190870
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id: 32190871
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id: 32190872
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id: 32190873
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id: 32190874
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id: 32190875
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id: 32190876
{'center': '10.a1', 'center_index': 10, 'center_order': 96, 'counter': 168, 'cyclotomic_n': 15, 'dim': 2, 'faithful': False, 'field': [1, 1, 2, -1, 1], 'group': '960.4023', 'group_counter': 4023, 'group_order': 960, 'image': None, 'image_isoclass': '60.10', 'image_order': 60, 'indicator': 0, 'kernel': '60.b1', 'kernel_order': 16, 'label': '960.4023.2z4', 'nt': [30, 4], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 5]], [[2, -5]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-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]], [[1, 3], [1, -3]], [[1, 6], [1, -6]], [[2, -5]], [[2, 5]], [[2, -5]], [[2, -5]], [[2, -5]], [[2, 5]], [[2, -5]], [[2, 5]], [[2, 5]], [[2, 5]], [[2, 5]], [[2, -5]], 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gps_subgroup_search • Show schema
Hide schema
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id: 113463500
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.4023', 'ambient_counter': 4023, 'ambient_order': 960, 'ambient_tex': 'C_4\\times C_{30}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': True, 'core_order': 960, 'counter': 1, 'cyclic': False, 'direct': True, 'hall': 30, 'label': '960.4023.1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1.a1', 'outer_equivalence': True, 'perfect': False, 'proper': False, 'quotient': '1.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 1, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_1', 'simple': False, 'solvable': True, 'special_labels': ['R', 'L0', 'D0', 'C0'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '960.4023', 'subgroup_hash': 4023, 'subgroup_order': 960, 'subgroup_tex': 'C_4\\times C_{30}.D_4', 'supersolvable': True, 'sylow': 0}
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id: 113463592
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4023', 'ambient_counter': 4023, 'ambient_order': 960, 'ambient_tex': 'C_4\\times C_{30}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 480, 'counter': 2, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4023.2.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': ['F'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '480.919', 'subgroup_hash': 919, 'subgroup_order': 480, 'subgroup_tex': 'C_2\\times C_4\\times C_{60}', 'supersolvable': True, 'sylow': 0}
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id: 113463603
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '960.4023', 'ambient_counter': 4023, 'ambient_order': 960, 'ambient_tex': 'C_4\\times C_{30}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': True, 'core_order': 480, 'counter': 3, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4023.2.b1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '480.715', 'subgroup_hash': 715, 'subgroup_order': 480, 'subgroup_tex': 'C_{30}:C_4^2', 'supersolvable': True, 'sylow': 0}
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id: 113463614
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '960.4023', 'ambient_counter': 4023, 'ambient_order': 960, 'ambient_tex': 'C_4\\times C_{30}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': True, 'core_order': 480, 'counter': 4, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4023.2.c1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '480.715', 'subgroup_hash': 715, 'subgroup_order': 480, 'subgroup_tex': 'C_{30}:C_4^2', 'supersolvable': True, 'sylow': 0}
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id: 113463625
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.4023', 'ambient_counter': 4023, 'ambient_order': 960, 'ambient_tex': 'C_4\\times C_{30}.D_4', 'central': False, 'central_factor': True, 'centralizer_order': 48, 'characteristic': False, 'core_order': 480, 'counter': 5, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4023.2.d1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': ['C1'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '480.716', 'subgroup_hash': 716, 'subgroup_order': 480, 'subgroup_tex': 'C_2\\times C_{30}.D_4', 'supersolvable': True, 'sylow': 0}
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id: 113463636
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.4023', 'ambient_counter': 4023, 'ambient_order': 960, 'ambient_tex': 'C_4\\times C_{30}.D_4', 'central': False, 'central_factor': True, 'centralizer_order': 48, 'characteristic': False, 'core_order': 480, 'counter': 6, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4023.2.e1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '480.109', 'subgroup_hash': 109, 'subgroup_order': 480, 'subgroup_tex': 'C_{30}.C_4^2', 'supersolvable': True, 'sylow': 0}
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id: 113463647
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.4023', 'ambient_counter': 4023, 'ambient_order': 960, 'ambient_tex': 'C_4\\times C_{30}.D_4', 'central': False, 'central_factor': True, 'centralizer_order': 48, 'characteristic': True, 'core_order': 320, 'counter': 7, 'cyclic': False, 'direct': True, 'hall': 10, 'label': '960.4023.3.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '3.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '3.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 3, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '320.558', 'subgroup_hash': 558, 'subgroup_order': 320, 'subgroup_tex': 'C_4\\times C_{10}.D_4', 'supersolvable': True, 'sylow': 0}
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id: 113463658
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4023', 'ambient_counter': 4023, 'ambient_order': 960, 'ambient_tex': 'C_4\\times C_{30}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 240, 'counter': 8, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4023.4.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '240.185', 'subgroup_hash': 185, 'subgroup_order': 240, 'subgroup_tex': 'C_2^2\\times C_{60}', 'supersolvable': True, 'sylow': 0}
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id: 113463669
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4023', 'ambient_counter': 4023, 'ambient_order': 960, 'ambient_tex': 'C_4\\times C_{30}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 240, 'counter': 9, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4023.4.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': ['C2'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '240.185', 'subgroup_hash': 185, 'subgroup_order': 240, 'subgroup_tex': 'C_2^2\\times C_{60}', 'supersolvable': True, 'sylow': 0}
-
id: 113463501
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '960.4023', 'ambient_counter': 4023, 'ambient_order': 960, 'ambient_tex': 'C_4\\times C_{30}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': True, 'core_order': 240, 'counter': 10, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4023.4.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '240.163', 'subgroup_hash': 163, 'subgroup_order': 240, 'subgroup_tex': 'C_{30}.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 113463512
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '960.4023', 'ambient_counter': 4023, 'ambient_order': 960, 'ambient_tex': 'C_4\\times C_{30}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': True, 'core_order': 240, 'counter': 11, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4023.4.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '240.163', 'subgroup_hash': 163, 'subgroup_order': 240, 'subgroup_tex': 'C_{30}.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 113463523
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '960.4023', 'ambient_counter': 4023, 'ambient_order': 960, 'ambient_tex': 'C_4\\times C_{30}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 240, 'counter': 12, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4023.4.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '240.163', 'subgroup_hash': 163, 'subgroup_order': 240, 'subgroup_tex': 'C_{30}.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 113463534
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '960.4023', 'ambient_counter': 4023, 'ambient_order': 960, 'ambient_tex': 'C_4\\times C_{30}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 240, 'counter': 13, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4023.4.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.f1', 'outer_equivalence': True, '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': '240.40', 'subgroup_hash': 40, 'subgroup_order': 240, 'subgroup_tex': 'C_{20}:C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 113463545
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.4023', 'ambient_counter': 4023, 'ambient_order': 960, 'ambient_tex': 'C_4\\times C_{30}.D_4', 'central': False, 'central_factor': True, 'centralizer_order': 48, 'characteristic': False, 'core_order': 240, 'counter': 14, 'cyclic': False, 'direct': True, 'hall': 0, 'label': '960.4023.4.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.g1', 'outer_equivalence': True, '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': '240.41', 'subgroup_hash': 41, 'subgroup_order': 240, 'subgroup_tex': 'C_{30}.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 113463556
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4023', 'ambient_counter': 4023, 'ambient_order': 960, 'ambient_tex': 'C_4\\times C_{30}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 120, 'counter': 15, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4023.4.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '240.81', 'subgroup_hash': 81, 'subgroup_order': 240, 'subgroup_tex': 'C_4\\times C_{60}', 'supersolvable': True, 'sylow': 0}
-
id: 113463567
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '960.4023', 'ambient_counter': 4023, 'ambient_order': 960, 'ambient_tex': 'C_4\\times C_{30}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 120, 'counter': 16, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4023.4.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '240.40', 'subgroup_hash': 40, 'subgroup_order': 240, 'subgroup_tex': 'C_{20}:C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 113463578
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.4023', 'ambient_counter': 4023, 'ambient_order': 960, 'ambient_tex': 'C_4\\times C_{30}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 96, 'counter': 17, 'cyclic': False, 'direct': None, 'hall': 6, 'label': '960.4023.5.a1', 'maximal': True, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '5.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 5, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '192.811', 'subgroup_hash': 811, 'subgroup_order': 192, 'subgroup_tex': 'C_{12}:C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 113463589
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4023', 'ambient_counter': 4023, 'ambient_order': 960, 'ambient_tex': 'C_4\\times C_{30}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 160, 'counter': 18, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4023.6.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '6.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '6.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 6, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '160.175', 'subgroup_hash': 175, 'subgroup_order': 160, 'subgroup_tex': 'C_2\\times C_4\\times C_{20}', 'supersolvable': True, 'sylow': 0}
-
id: 113463591
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '960.4023', 'ambient_counter': 4023, 'ambient_order': 960, 'ambient_tex': 'C_4\\times C_{30}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': True, 'core_order': 160, 'counter': 19, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4023.6.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '6.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '6.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 6, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '160.143', 'subgroup_hash': 143, 'subgroup_order': 160, 'subgroup_tex': 'C_{10}:C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 113463593
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '960.4023', 'ambient_counter': 4023, 'ambient_order': 960, 'ambient_tex': 'C_4\\times C_{30}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': True, 'core_order': 160, 'counter': 20, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4023.6.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '6.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '6.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 6, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '160.143', 'subgroup_hash': 143, 'subgroup_order': 160, 'subgroup_tex': 'C_{10}:C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 113463594
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.4023', 'ambient_counter': 4023, 'ambient_order': 960, 'ambient_tex': 'C_4\\times C_{30}.D_4', 'central': False, 'central_factor': True, 'centralizer_order': 48, 'characteristic': False, 'core_order': 160, 'counter': 21, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4023.6.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '6.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '6.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 6, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '160.144', 'subgroup_hash': 144, 'subgroup_order': 160, 'subgroup_tex': 'C_2^3.D_{10}', 'supersolvable': True, 'sylow': 0}
-
id: 113463595
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.4023', 'ambient_counter': 4023, 'ambient_order': 960, 'ambient_tex': 'C_4\\times C_{30}.D_4', 'central': False, 'central_factor': True, 'centralizer_order': 48, 'characteristic': False, 'core_order': 160, 'counter': 22, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4023.6.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '6.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '6.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 6, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '160.38', 'subgroup_hash': 38, 'subgroup_order': 160, 'subgroup_tex': 'C_{10}.C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 113463596
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4023', 'ambient_counter': 4023, 'ambient_order': 960, 'ambient_tex': 'C_4\\times C_{30}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 120, 'counter': 23, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4023.8.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': ['S', 'C3'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '120.47', 'subgroup_hash': 47, 'subgroup_order': 120, 'subgroup_tex': 'C_2^2\\times C_{30}', 'supersolvable': True, 'sylow': 0}
-
id: 113463597
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4023', 'ambient_counter': 4023, 'ambient_order': 960, 'ambient_tex': 'C_4\\times C_{30}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 120, 'counter': 24, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4023.8.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.b1', 'outer_equivalence': True, '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': '120.31', 'subgroup_hash': 31, 'subgroup_order': 120, 'subgroup_tex': 'C_2\\times C_{60}', 'supersolvable': True, 'sylow': 0}
-
id: 113463598
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '960.4023', 'ambient_counter': 4023, 'ambient_order': 960, 'ambient_tex': 'C_4\\times C_{30}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 120, 'counter': 25, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4023.8.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.c1', 'outer_equivalence': True, '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': '120.19', 'subgroup_hash': 19, 'subgroup_order': 120, 'subgroup_tex': 'C_{10}:C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 113463599
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '960.4023', 'ambient_counter': 4023, 'ambient_order': 960, 'ambient_tex': 'C_4\\times C_{30}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 120, 'counter': 26, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4023.8.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.d1', 'outer_equivalence': True, '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': '120.19', 'subgroup_hash': 19, 'subgroup_order': 120, 'subgroup_tex': 'C_{10}:C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 113463600
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4023', 'ambient_counter': 4023, 'ambient_order': 960, 'ambient_tex': 'C_4\\times C_{30}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 120, 'counter': 27, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4023.8.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.e1', 'outer_equivalence': True, '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': '120.31', 'subgroup_hash': 31, 'subgroup_order': 120, 'subgroup_tex': 'C_2\\times C_{60}', 'supersolvable': True, 'sylow': 0}
-
id: 113463601
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '960.4023', 'ambient_counter': 4023, 'ambient_order': 960, 'ambient_tex': 'C_4\\times C_{30}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 120, 'counter': 28, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4023.8.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.f1', 'outer_equivalence': True, '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': '120.19', 'subgroup_hash': 19, 'subgroup_order': 120, 'subgroup_tex': 'C_{10}:C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 113463602
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '960.4023', 'ambient_counter': 4023, 'ambient_order': 960, 'ambient_tex': 'C_4\\times C_{30}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 120, 'counter': 29, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4023.8.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.g1', 'outer_equivalence': True, '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': '120.19', 'subgroup_hash': 19, 'subgroup_order': 120, 'subgroup_tex': 'C_{10}:C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 113463604
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4023', 'ambient_counter': 4023, 'ambient_order': 960, 'ambient_tex': 'C_4\\times C_{30}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 120, 'counter': 30, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4023.8.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '120.31', 'subgroup_hash': 31, 'subgroup_order': 120, 'subgroup_tex': 'C_2\\times C_{60}', 'supersolvable': True, 'sylow': 0}
-
id: 113463605
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4023', 'ambient_counter': 4023, 'ambient_order': 960, 'ambient_tex': 'C_4\\times C_{30}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 120, 'counter': 31, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4023.8.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.4', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'Q_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '120.31', 'subgroup_hash': 31, 'subgroup_order': 120, 'subgroup_tex': 'C_2\\times C_{60}', 'supersolvable': True, 'sylow': 0}
-
id: 113463606
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4023', 'ambient_counter': 4023, 'ambient_order': 960, 'ambient_tex': 'C_4\\times C_{30}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 60, 'counter': 32, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4023.8.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '120.31', 'subgroup_hash': 31, 'subgroup_order': 120, 'subgroup_tex': 'C_2\\times C_{60}', 'supersolvable': True, 'sylow': 0}
-
id: 113463607
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '960.4023', 'ambient_counter': 4023, 'ambient_order': 960, 'ambient_tex': 'C_4\\times C_{30}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 60, 'counter': 33, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4023.8.k1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.k1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '120.19', 'subgroup_hash': 19, 'subgroup_order': 120, 'subgroup_tex': 'C_{10}:C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 113463608
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '960.4023', 'ambient_counter': 4023, 'ambient_order': 960, 'ambient_tex': 'C_4\\times C_{30}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 60, 'counter': 34, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4023.8.l1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.l1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '120.19', 'subgroup_hash': 19, 'subgroup_order': 120, 'subgroup_tex': 'C_{10}:C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 113463609
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4023', 'ambient_counter': 4023, 'ambient_order': 960, 'ambient_tex': 'C_4\\times C_{30}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 60, 'counter': 35, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4023.8.m1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.m1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '120.31', 'subgroup_hash': 31, 'subgroup_order': 120, 'subgroup_tex': 'C_2\\times C_{60}', 'supersolvable': True, 'sylow': 0}
-
id: 113463610
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '960.4023', 'ambient_counter': 4023, 'ambient_order': 960, 'ambient_tex': 'C_4\\times C_{30}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 60, 'counter': 36, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4023.8.n1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.n1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '120.19', 'subgroup_hash': 19, 'subgroup_order': 120, 'subgroup_tex': 'C_{10}:C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 113463611
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4023', 'ambient_counter': 4023, 'ambient_order': 960, 'ambient_tex': 'C_4\\times C_{30}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 96, 'counter': 37, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4023.10.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '10.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '10.1', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 10, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_5', 'simple': False, 'solvable': True, 'special_labels': ['U0'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '96.161', 'subgroup_hash': 161, 'subgroup_order': 96, 'subgroup_tex': 'C_2\\times C_4\\times C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 113463612
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4023', 'ambient_counter': 4023, 'ambient_order': 960, 'ambient_tex': 'C_4\\times C_{30}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 48, 'counter': 38, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4023.10.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '10.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.161', 'subgroup_hash': 161, 'subgroup_order': 96, 'subgroup_tex': 'C_2\\times C_4\\times C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 113463613
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4023', 'ambient_counter': 4023, 'ambient_order': 960, 'ambient_tex': 'C_4\\times C_{30}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 48, 'counter': 39, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4023.10.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '10.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.161', 'subgroup_hash': 161, 'subgroup_order': 96, 'subgroup_tex': 'C_2\\times C_4\\times C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 113463615
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.4023', 'ambient_counter': 4023, 'ambient_order': 960, 'ambient_tex': 'C_4\\times C_{30}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 48, 'counter': 40, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4023.10.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '10.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.163', 'subgroup_hash': 163, 'subgroup_order': 96, 'subgroup_tex': 'C_2\\times C_4:C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 113463616
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.4023', 'ambient_counter': 4023, 'ambient_order': 960, 'ambient_tex': 'C_4\\times C_{30}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 48, 'counter': 41, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4023.10.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '10.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.45', 'subgroup_hash': 45, 'subgroup_order': 96, 'subgroup_tex': 'C_6.C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 113463617
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4023', 'ambient_counter': 4023, 'ambient_order': 960, 'ambient_tex': 'C_4\\times C_{30}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 80, 'counter': 42, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4023.12.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '12.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '12.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '80.45', 'subgroup_hash': 45, 'subgroup_order': 80, 'subgroup_tex': 'C_2^2\\times C_{20}', 'supersolvable': True, 'sylow': 0}
-
id: 113463618
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4023', 'ambient_counter': 4023, 'ambient_order': 960, 'ambient_tex': 'C_4\\times C_{30}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 80, 'counter': 43, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4023.12.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '12.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '12.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '80.45', 'subgroup_hash': 45, 'subgroup_order': 80, 'subgroup_tex': 'C_2^2\\times C_{20}', 'supersolvable': True, 'sylow': 0}
-
id: 113463619
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '960.4023', 'ambient_counter': 4023, 'ambient_order': 960, 'ambient_tex': 'C_4\\times C_{30}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': True, 'core_order': 80, 'counter': 44, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4023.12.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '12.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '12.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '80.43', 'subgroup_hash': 43, 'subgroup_order': 80, 'subgroup_tex': 'C_2^2.D_{10}', 'supersolvable': True, 'sylow': 0}
-
id: 113463620
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '960.4023', 'ambient_counter': 4023, 'ambient_order': 960, 'ambient_tex': 'C_4\\times C_{30}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': True, 'core_order': 80, 'counter': 45, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4023.12.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '12.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '12.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '80.43', 'subgroup_hash': 43, 'subgroup_order': 80, 'subgroup_tex': 'C_2^2.D_{10}', 'supersolvable': True, 'sylow': 0}
-
id: 113463621
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '960.4023', 'ambient_counter': 4023, 'ambient_order': 960, 'ambient_tex': 'C_4\\times C_{30}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 80, 'counter': 46, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4023.12.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '12.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '12.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '80.43', 'subgroup_hash': 43, 'subgroup_order': 80, 'subgroup_tex': 'C_2^2.D_{10}', 'supersolvable': True, 'sylow': 0}
-
id: 113463622
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '960.4023', 'ambient_counter': 4023, 'ambient_order': 960, 'ambient_tex': 'C_4\\times C_{30}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 80, 'counter': 47, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4023.12.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '12.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '12.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '80.11', 'subgroup_hash': 11, 'subgroup_order': 80, 'subgroup_tex': 'C_{20}:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 113463623
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.4023', 'ambient_counter': 4023, 'ambient_order': 960, 'ambient_tex': 'C_4\\times C_{30}.D_4', 'central': False, 'central_factor': True, 'centralizer_order': 48, 'characteristic': False, 'core_order': 80, 'counter': 48, 'cyclic': False, 'direct': True, 'hall': 0, 'label': '960.4023.12.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '12.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '12.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '80.12', 'subgroup_hash': 12, 'subgroup_order': 80, 'subgroup_tex': 'C_{10}.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 113463624
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4023', 'ambient_counter': 4023, 'ambient_order': 960, 'ambient_tex': 'C_4\\times C_{30}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 40, 'counter': 49, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4023.12.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '80.20', 'subgroup_hash': 20, 'subgroup_order': 80, 'subgroup_tex': 'C_4\\times C_{20}', 'supersolvable': True, 'sylow': 0}
-
id: 113463626
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '960.4023', 'ambient_counter': 4023, 'ambient_order': 960, 'ambient_tex': 'C_4\\times C_{30}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 40, 'counter': 50, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4023.12.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '80.11', 'subgroup_hash': 11, 'subgroup_order': 80, 'subgroup_tex': 'C_{20}:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 113463627
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.4023', 'ambient_counter': 4023, 'ambient_order': 960, 'ambient_tex': 'C_4\\times C_{30}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 32, 'counter': 51, 'cyclic': False, 'direct': None, 'hall': 2, 'label': '960.4023.15.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '15.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 15, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.59', 'subgroup_hash': 59, 'subgroup_order': 64, 'subgroup_tex': 'C_4:C_4^2', 'supersolvable': True, 'sylow': 2}
-
id: 113463628
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4023', 'ambient_counter': 4023, 'ambient_order': 960, 'ambient_tex': 'C_4\\times C_{30}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 60, 'counter': 52, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4023.16.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 10, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '60.13', 'subgroup_hash': 13, 'subgroup_order': 60, 'subgroup_tex': 'C_2\\times C_{30}', 'supersolvable': True, 'sylow': 0}
-
id: 113463629
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4023', 'ambient_counter': 4023, 'ambient_order': 960, 'ambient_tex': 'C_4\\times C_{30}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 60, 'counter': 53, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4023.16.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 10, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': ['C4'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '60.13', 'subgroup_hash': 13, 'subgroup_order': 60, 'subgroup_tex': 'C_2\\times C_{30}', 'supersolvable': True, 'sylow': 0}
-
id: 113463630
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '960.4023', 'ambient_counter': 4023, 'ambient_order': 960, 'ambient_tex': 'C_4\\times C_{30}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 60, 'counter': 54, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4023.16.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '60.2', 'subgroup_hash': 2, 'subgroup_order': 60, 'subgroup_tex': 'C_5:C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 113463631
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4023', 'ambient_counter': 4023, 'ambient_order': 960, 'ambient_tex': 'C_4\\times C_{30}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 60, 'counter': 55, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4023.16.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.13', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 13, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4:C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '60.13', 'subgroup_hash': 13, 'subgroup_order': 60, 'subgroup_tex': 'C_2\\times C_{30}', 'supersolvable': True, 'sylow': 0}
-
id: 113463632
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4023', 'ambient_counter': 4023, 'ambient_order': 960, 'ambient_tex': 'C_4\\times C_{30}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 60, 'counter': 56, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4023.16.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '60.13', 'subgroup_hash': 13, 'subgroup_order': 60, 'subgroup_tex': 'C_2\\times C_{30}', 'supersolvable': True, 'sylow': 0}
-
id: 113463633
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4023', 'ambient_counter': 4023, 'ambient_order': 960, 'ambient_tex': 'C_4\\times C_{30}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 60, 'counter': 57, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4023.16.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.12', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 12, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times Q_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '60.13', 'subgroup_hash': 13, 'subgroup_order': 60, 'subgroup_tex': 'C_2\\times C_{30}', 'supersolvable': True, 'sylow': 0}
-
id: 113463634
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4023', 'ambient_counter': 4023, 'ambient_order': 960, 'ambient_tex': 'C_4\\times C_{30}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 60, 'counter': 58, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '960.4023.16.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.4', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '60.4', 'subgroup_hash': 4, 'subgroup_order': 60, 'subgroup_tex': 'C_{60}', 'supersolvable': True, 'sylow': 0}
-
id: 113463635
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '960.4023', 'ambient_counter': 4023, 'ambient_order': 960, 'ambient_tex': 'C_4\\times C_{30}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 30, 'counter': 59, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4023.16.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '60.2', 'subgroup_hash': 2, 'subgroup_order': 60, 'subgroup_tex': 'C_5:C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 113463637
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4023', 'ambient_counter': 4023, 'ambient_order': 960, 'ambient_tex': 'C_4\\times C_{30}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 30, 'counter': 60, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '960.4023.16.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '60.4', 'subgroup_hash': 4, 'subgroup_order': 60, 'subgroup_tex': 'C_{60}', 'supersolvable': True, 'sylow': 0}
-
id: 113463638
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '960.4023', 'ambient_counter': 4023, 'ambient_order': 960, 'ambient_tex': 'C_4\\times C_{30}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 30, 'counter': 61, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4023.16.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '60.2', 'subgroup_hash': 2, 'subgroup_order': 60, 'subgroup_tex': 'C_5:C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 113463639
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4023', 'ambient_counter': 4023, 'ambient_order': 960, 'ambient_tex': 'C_4\\times C_{30}.D_4', 'central': True, 'central_factor': False, 'centralizer_order': 960, 'characteristic': True, 'core_order': 48, 'counter': 62, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4023.20.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '20.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '20.4', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 20, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{10}', 'simple': False, 'solvable': True, 'special_labels': ['Z', 'U1'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '48.44', 'subgroup_hash': 44, 'subgroup_order': 48, 'subgroup_tex': 'C_2^2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 113463640
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4023', 'ambient_counter': 4023, 'ambient_order': 960, 'ambient_tex': 'C_4\\times C_{30}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 48, 'counter': 63, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4023.20.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '20.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '20.4', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 20, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '48.44', 'subgroup_hash': 44, 'subgroup_order': 48, 'subgroup_tex': 'C_2^2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 113463641
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4023', 'ambient_counter': 4023, 'ambient_order': 960, 'ambient_tex': 'C_4\\times C_{30}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 24, 'counter': 64, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4023.20.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '20.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.44', 'subgroup_hash': 44, 'subgroup_order': 48, 'subgroup_tex': 'C_2^2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 113463642
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4023', 'ambient_counter': 4023, 'ambient_order': 960, 'ambient_tex': 'C_4\\times C_{30}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 24, 'counter': 65, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4023.20.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '20.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.44', 'subgroup_hash': 44, 'subgroup_order': 48, 'subgroup_tex': 'C_2^2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 113463643
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4023', 'ambient_counter': 4023, 'ambient_order': 960, 'ambient_tex': 'C_4\\times C_{30}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 24, 'counter': 66, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4023.20.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '20.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.44', 'subgroup_hash': 44, 'subgroup_order': 48, 'subgroup_tex': 'C_2^2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 113463644
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4023', 'ambient_counter': 4023, 'ambient_order': 960, 'ambient_tex': 'C_4\\times C_{30}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 24, 'counter': 67, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4023.20.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '20.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.20', 'subgroup_hash': 20, 'subgroup_order': 48, 'subgroup_tex': 'C_4\\times C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 113463645
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.4023', 'ambient_counter': 4023, 'ambient_order': 960, 'ambient_tex': 'C_4\\times C_{30}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 24, 'counter': 68, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4023.20.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '20.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.22', 'subgroup_hash': 22, 'subgroup_order': 48, 'subgroup_tex': 'C_4:C_{12}', 'supersolvable': True, 'sylow': 0}
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id: 113463646
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4023', 'ambient_counter': 4023, 'ambient_order': 960, 'ambient_tex': 'C_4\\times C_{30}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 24, 'counter': 69, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4023.20.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '20.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.20', 'subgroup_hash': 20, 'subgroup_order': 48, 'subgroup_tex': 'C_4\\times C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 113463648
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4023', 'ambient_counter': 4023, 'ambient_order': 960, 'ambient_tex': 'C_4\\times C_{30}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 24, 'counter': 70, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4023.20.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '20.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.20', 'subgroup_hash': 20, 'subgroup_order': 48, 'subgroup_tex': 'C_4\\times C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 113463649
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4023', 'ambient_counter': 4023, 'ambient_order': 960, 'ambient_tex': 'C_4\\times C_{30}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 40, 'counter': 71, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4023.24.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '24.15', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 15, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '40.14', 'subgroup_hash': 14, 'subgroup_order': 40, 'subgroup_tex': 'C_2^2\\times C_{10}', 'supersolvable': True, 'sylow': 0}
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id: 113463650
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4023', 'ambient_counter': 4023, 'ambient_order': 960, 'ambient_tex': 'C_4\\times C_{30}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 40, 'counter': 72, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4023.24.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '24.9', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 9, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '40.9', 'subgroup_hash': 9, 'subgroup_order': 40, 'subgroup_tex': 'C_2\\times C_{20}', 'supersolvable': True, 'sylow': 0}
-
id: 113463651
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '960.4023', 'ambient_counter': 4023, 'ambient_order': 960, 'ambient_tex': 'C_4\\times C_{30}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 40, 'counter': 73, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4023.24.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '24.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '24.9', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 9, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '40.7', 'subgroup_hash': 7, 'subgroup_order': 40, 'subgroup_tex': 'C_{10}:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 113463652
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '960.4023', 'ambient_counter': 4023, 'ambient_order': 960, 'ambient_tex': 'C_4\\times C_{30}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 40, 'counter': 74, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4023.24.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '24.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '24.9', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 9, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '40.7', 'subgroup_hash': 7, 'subgroup_order': 40, 'subgroup_tex': 'C_{10}:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 113463653
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4023', 'ambient_counter': 4023, 'ambient_order': 960, 'ambient_tex': 'C_4\\times C_{30}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 40, 'counter': 75, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4023.24.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '24.9', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 9, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '40.9', 'subgroup_hash': 9, 'subgroup_order': 40, 'subgroup_tex': 'C_2\\times C_{20}', 'supersolvable': True, 'sylow': 0}
-
id: 113463654
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '960.4023', 'ambient_counter': 4023, 'ambient_order': 960, 'ambient_tex': 'C_4\\times C_{30}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 40, 'counter': 76, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4023.24.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '24.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '24.9', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 9, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '40.7', 'subgroup_hash': 7, 'subgroup_order': 40, 'subgroup_tex': 'C_{10}:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 113463655
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '960.4023', 'ambient_counter': 4023, 'ambient_order': 960, 'ambient_tex': 'C_4\\times C_{30}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 40, 'counter': 77, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4023.24.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '24.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '24.9', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 9, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '40.7', 'subgroup_hash': 7, 'subgroup_order': 40, 'subgroup_tex': 'C_{10}:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 113463656
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4023', 'ambient_counter': 4023, 'ambient_order': 960, 'ambient_tex': 'C_4\\times C_{30}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 40, 'counter': 78, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4023.24.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '24.10', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 10, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '40.9', 'subgroup_hash': 9, 'subgroup_order': 40, 'subgroup_tex': 'C_2\\times C_{20}', 'supersolvable': True, 'sylow': 0}
-
id: 113463657
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4023', 'ambient_counter': 4023, 'ambient_order': 960, 'ambient_tex': 'C_4\\times C_{30}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 40, 'counter': 79, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4023.24.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '24.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3\\times Q_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '40.9', 'subgroup_hash': 9, 'subgroup_order': 40, 'subgroup_tex': 'C_2\\times C_{20}', 'supersolvable': True, 'sylow': 0}
-
id: 113463659
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4023', 'ambient_counter': 4023, 'ambient_order': 960, 'ambient_tex': 'C_4\\times C_{30}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 20, 'counter': 80, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4023.24.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '40.9', 'subgroup_hash': 9, 'subgroup_order': 40, 'subgroup_tex': 'C_2\\times C_{20}', 'supersolvable': True, 'sylow': 0}
-
id: 113463660
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '960.4023', 'ambient_counter': 4023, 'ambient_order': 960, 'ambient_tex': 'C_4\\times C_{30}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 20, 'counter': 81, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4023.24.k1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.k1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '40.7', 'subgroup_hash': 7, 'subgroup_order': 40, 'subgroup_tex': 'C_{10}:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 113463661
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '960.4023', 'ambient_counter': 4023, 'ambient_order': 960, 'ambient_tex': 'C_4\\times C_{30}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 20, 'counter': 82, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4023.24.l1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.l1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '40.7', 'subgroup_hash': 7, 'subgroup_order': 40, 'subgroup_tex': 'C_{10}:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 113463662
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4023', 'ambient_counter': 4023, 'ambient_order': 960, 'ambient_tex': 'C_4\\times C_{30}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 20, 'counter': 83, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4023.24.m1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.m1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '40.9', 'subgroup_hash': 9, 'subgroup_order': 40, 'subgroup_tex': 'C_2\\times C_{20}', 'supersolvable': True, 'sylow': 0}
-
id: 113463663
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '960.4023', 'ambient_counter': 4023, 'ambient_order': 960, 'ambient_tex': 'C_4\\times C_{30}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 20, 'counter': 84, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4023.24.n1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.n1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '40.7', 'subgroup_hash': 7, 'subgroup_order': 40, 'subgroup_tex': 'C_{10}:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 113463664
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4023', 'ambient_counter': 4023, 'ambient_order': 960, 'ambient_tex': 'C_4\\times C_{30}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 32, 'counter': 85, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4023.30.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '30.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '30.2', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 30, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3\\times D_5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '32.21', 'subgroup_hash': 21, 'subgroup_order': 32, 'subgroup_tex': 'C_2\\times C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 113463665
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4023', 'ambient_counter': 4023, 'ambient_order': 960, 'ambient_tex': 'C_4\\times C_{30}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 16, 'counter': 86, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4023.30.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '30.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 30, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.21', 'subgroup_hash': 21, 'subgroup_order': 32, 'subgroup_tex': 'C_2\\times C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 113463666
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4023', 'ambient_counter': 4023, 'ambient_order': 960, 'ambient_tex': 'C_4\\times C_{30}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 16, 'counter': 87, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4023.30.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '30.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 30, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.21', 'subgroup_hash': 21, 'subgroup_order': 32, 'subgroup_tex': 'C_2\\times C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 113463667
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.4023', 'ambient_counter': 4023, 'ambient_order': 960, 'ambient_tex': 'C_4\\times C_{30}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 16, 'counter': 88, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4023.30.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '30.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 30, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.23', 'subgroup_hash': 23, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 113463668
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.4023', 'ambient_counter': 4023, 'ambient_order': 960, 'ambient_tex': 'C_4\\times C_{30}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 16, 'counter': 89, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4023.30.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '30.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 30, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.2', 'subgroup_hash': 2, 'subgroup_order': 32, 'subgroup_tex': 'C_2.C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 113463670
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4023', 'ambient_counter': 4023, 'ambient_order': 960, 'ambient_tex': 'C_4\\times C_{30}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 30, 'counter': 90, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '960.4023.32.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.21', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 21, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '30.4', 'subgroup_hash': 4, 'subgroup_order': 30, 'subgroup_tex': 'C_{30}', 'supersolvable': True, 'sylow': 0}
-
id: 113463671
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4023', 'ambient_counter': 4023, 'ambient_order': 960, 'ambient_tex': 'C_4\\times C_{30}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 30, 'counter': 91, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '960.4023.32.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.24', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 24, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '30.4', 'subgroup_hash': 4, 'subgroup_order': 30, 'subgroup_tex': 'C_{30}', 'supersolvable': True, 'sylow': 0}
-
id: 113463672
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4023', 'ambient_counter': 4023, 'ambient_order': 960, 'ambient_tex': 'C_4\\times C_{30}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 30, 'counter': 92, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '960.4023.32.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.25', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 25, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_4', 'simple': False, 'solvable': True, 'special_labels': ['C5'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '30.4', 'subgroup_hash': 4, 'subgroup_order': 30, 'subgroup_tex': 'C_{30}', 'supersolvable': True, 'sylow': 0}
-
id: 113463673
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4023', 'ambient_counter': 4023, 'ambient_order': 960, 'ambient_tex': 'C_4\\times C_{30}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 30, 'counter': 93, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '960.4023.32.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.26', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 26, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times Q_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '30.4', 'subgroup_hash': 4, 'subgroup_order': 30, 'subgroup_tex': 'C_{30}', 'supersolvable': True, 'sylow': 0}
-
id: 113463674
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4023', 'ambient_counter': 4023, 'ambient_order': 960, 'ambient_tex': 'C_4\\times C_{30}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 30, 'counter': 94, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '960.4023.32.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.23', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 23, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2.D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '30.4', 'subgroup_hash': 4, 'subgroup_order': 30, 'subgroup_tex': 'C_{30}', 'supersolvable': True, 'sylow': 0}
-
id: 113463675
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4023', 'ambient_counter': 4023, 'ambient_order': 960, 'ambient_tex': 'C_4\\times C_{30}.D_4', 'central': True, 'central_factor': False, 'centralizer_order': 960, 'characteristic': True, 'core_order': 24, 'counter': 95, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4023.40.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '40.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '40.13', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 13, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 40, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '24.15', 'subgroup_hash': 15, 'subgroup_order': 24, 'subgroup_tex': 'C_2^2\\times C_6', 'supersolvable': True, 'sylow': 0}
-
id: 113463676
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4023', 'ambient_counter': 4023, 'ambient_order': 960, 'ambient_tex': 'C_4\\times C_{30}.D_4', 'central': True, 'central_factor': False, 'centralizer_order': 960, 'characteristic': False, 'core_order': 24, 'counter': 96, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4023.40.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '40.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '40.5', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 40, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 113463677
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4023', 'ambient_counter': 4023, 'ambient_order': 960, 'ambient_tex': 'C_4\\times C_{30}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 24, 'counter': 97, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4023.40.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '40.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '40.5', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 40, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 113463678
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4023', 'ambient_counter': 4023, 'ambient_order': 960, 'ambient_tex': 'C_4\\times C_{30}.D_4', 'central': True, 'central_factor': False, 'centralizer_order': 960, 'characteristic': False, 'core_order': 24, 'counter': 98, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4023.40.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '40.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '40.8', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 8, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 40, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 113463679
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4023', 'ambient_counter': 4023, 'ambient_order': 960, 'ambient_tex': 'C_4\\times C_{30}.D_4', 'central': True, 'central_factor': False, 'centralizer_order': 960, 'characteristic': False, 'core_order': 24, 'counter': 99, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4023.40.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '40.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '40.4', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 40, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5:Q_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 113463502
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4023', 'ambient_counter': 4023, 'ambient_order': 960, 'ambient_tex': 'C_4\\times C_{30}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 12, 'counter': 100, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4023.40.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 113463503
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4023', 'ambient_counter': 4023, 'ambient_order': 960, 'ambient_tex': 'C_4\\times C_{30}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 12, 'counter': 101, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4023.40.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 113463504
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4023', 'ambient_counter': 4023, 'ambient_order': 960, 'ambient_tex': 'C_4\\times C_{30}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 12, 'counter': 102, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4023.40.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 113463505
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4023', 'ambient_counter': 4023, 'ambient_order': 960, 'ambient_tex': 'C_4\\times C_{30}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 12, 'counter': 103, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4023.40.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 113463506
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4023', 'ambient_counter': 4023, 'ambient_order': 960, 'ambient_tex': 'C_4\\times C_{30}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 12, 'counter': 104, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4023.40.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 113463507
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4023', 'ambient_counter': 4023, 'ambient_order': 960, 'ambient_tex': 'C_4\\times C_{30}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 12, 'counter': 105, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4023.40.k1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.k1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 113463508
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4023', 'ambient_counter': 4023, 'ambient_order': 960, 'ambient_tex': 'C_4\\times C_{30}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 12, 'counter': 106, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4023.40.l1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.l1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 113463509
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4023', 'ambient_counter': 4023, 'ambient_order': 960, 'ambient_tex': 'C_4\\times C_{30}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 12, 'counter': 107, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4023.40.m1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.m1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 113463510
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4023', 'ambient_counter': 4023, 'ambient_order': 960, 'ambient_tex': 'C_4\\times C_{30}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 12, 'counter': 108, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4023.40.n1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.n1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 113463511
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4023', 'ambient_counter': 4023, 'ambient_order': 960, 'ambient_tex': 'C_4\\times C_{30}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 20, 'counter': 109, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4023.48.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '48.44', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 44, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '20.5', 'subgroup_hash': 5, 'subgroup_order': 20, 'subgroup_tex': 'C_2\\times C_{10}', 'supersolvable': True, 'sylow': 0}
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id: 113463513
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4023', 'ambient_counter': 4023, 'ambient_order': 960, 'ambient_tex': 'C_4\\times C_{30}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 20, 'counter': 110, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4023.48.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '48.44', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 44, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '20.5', 'subgroup_hash': 5, 'subgroup_order': 20, 'subgroup_tex': 'C_2\\times C_{10}', 'supersolvable': True, 'sylow': 0}
-
id: 113463514
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '960.4023', 'ambient_counter': 4023, 'ambient_order': 960, 'ambient_tex': 'C_4\\times C_{30}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 20, 'counter': 111, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4023.48.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '48.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '48.20', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 20, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '20.1', 'subgroup_hash': 1, 'subgroup_order': 20, 'subgroup_tex': 'C_5:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 113463515
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4023', 'ambient_counter': 4023, 'ambient_order': 960, 'ambient_tex': 'C_4\\times C_{30}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 20, 'counter': 112, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4023.48.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '48.47', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 47, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4:C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '20.5', 'subgroup_hash': 5, 'subgroup_order': 20, 'subgroup_tex': 'C_2\\times C_{10}', 'supersolvable': True, 'sylow': 0}
-
id: 113463516
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4023', 'ambient_counter': 4023, 'ambient_order': 960, 'ambient_tex': 'C_4\\times C_{30}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 20, 'counter': 113, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4023.48.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '48.45', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 45, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '20.5', 'subgroup_hash': 5, 'subgroup_order': 20, 'subgroup_tex': 'C_2\\times C_{10}', 'supersolvable': True, 'sylow': 0}
-
id: 113463517
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4023', 'ambient_counter': 4023, 'ambient_order': 960, 'ambient_tex': 'C_4\\times C_{30}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 20, 'counter': 114, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4023.48.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '48.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 46, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6\\times Q_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '20.5', 'subgroup_hash': 5, 'subgroup_order': 20, 'subgroup_tex': 'C_2\\times C_{10}', 'supersolvable': True, 'sylow': 0}
-
id: 113463518
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4023', 'ambient_counter': 4023, 'ambient_order': 960, 'ambient_tex': 'C_4\\times C_{30}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 20, 'counter': 115, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '960.4023.48.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '48.22', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 22, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4:C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '20.2', 'subgroup_hash': 2, 'subgroup_order': 20, 'subgroup_tex': 'C_{20}', 'supersolvable': True, 'sylow': 0}
-
id: 113463519
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '960.4023', 'ambient_counter': 4023, 'ambient_order': 960, 'ambient_tex': 'C_4\\times C_{30}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 10, 'counter': 116, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4023.48.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20.1', 'subgroup_hash': 1, 'subgroup_order': 20, 'subgroup_tex': 'C_5:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 113463520
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4023', 'ambient_counter': 4023, 'ambient_order': 960, 'ambient_tex': 'C_4\\times C_{30}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 10, 'counter': 117, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '960.4023.48.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20.2', 'subgroup_hash': 2, 'subgroup_order': 20, 'subgroup_tex': 'C_{20}', 'supersolvable': True, 'sylow': 0}
-
id: 113463521
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '960.4023', 'ambient_counter': 4023, 'ambient_order': 960, 'ambient_tex': 'C_4\\times C_{30}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 10, 'counter': 118, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4023.48.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20.1', 'subgroup_hash': 1, 'subgroup_order': 20, 'subgroup_tex': 'C_5:C_4', 'supersolvable': True, 'sylow': 0}
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id: 113463522
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4023', 'ambient_counter': 4023, 'ambient_order': 960, 'ambient_tex': 'C_4\\times C_{30}.D_4', 'central': True, 'central_factor': False, 'centralizer_order': 960, 'characteristic': True, 'core_order': 16, 'counter': 119, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4023.60.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '60.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '60.10', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 10, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 60, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3\\times D_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
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id: 113463524
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4023', 'ambient_counter': 4023, 'ambient_order': 960, 'ambient_tex': 'C_4\\times C_{30}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 16, 'counter': 120, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4023.60.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '60.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '60.10', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 10, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 60, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3\\times D_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 113463525
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4023', 'ambient_counter': 4023, 'ambient_order': 960, 'ambient_tex': 'C_4\\times C_{30}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 8, 'counter': 121, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4023.60.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '60.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 60, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 113463526
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4023', 'ambient_counter': 4023, 'ambient_order': 960, 'ambient_tex': 'C_4\\times C_{30}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 8, 'counter': 122, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4023.60.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '60.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 60, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 113463527
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4023', 'ambient_counter': 4023, 'ambient_order': 960, 'ambient_tex': 'C_4\\times C_{30}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 8, 'counter': 123, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4023.60.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '60.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 60, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 113463528
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4023', 'ambient_counter': 4023, 'ambient_order': 960, 'ambient_tex': 'C_4\\times C_{30}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 8, 'counter': 124, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4023.60.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '60.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 60, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.2', 'subgroup_hash': 2, 'subgroup_order': 16, 'subgroup_tex': 'C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 113463529
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.4023', 'ambient_counter': 4023, 'ambient_order': 960, 'ambient_tex': 'C_4\\times C_{30}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 8, 'counter': 125, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4023.60.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '60.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 60, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.4', 'subgroup_hash': 4, 'subgroup_order': 16, 'subgroup_tex': 'C_4:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 113463530
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4023', 'ambient_counter': 4023, 'ambient_order': 960, 'ambient_tex': 'C_4\\times C_{30}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 8, 'counter': 126, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4023.60.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '60.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 60, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.2', 'subgroup_hash': 2, 'subgroup_order': 16, 'subgroup_tex': 'C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 113463531
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4023', 'ambient_counter': 4023, 'ambient_order': 960, 'ambient_tex': 'C_4\\times C_{30}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 8, 'counter': 127, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4023.60.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '60.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 60, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.2', 'subgroup_hash': 2, 'subgroup_order': 16, 'subgroup_tex': 'C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 113463532
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4023', 'ambient_counter': 4023, 'ambient_order': 960, 'ambient_tex': 'C_4\\times C_{30}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 15, 'counter': 128, 'cyclic': True, 'direct': False, 'hall': 15, 'label': '960.4023.64.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '64.59', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 59, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4:C_4^2', 'simple': False, 'solvable': True, 'special_labels': ['C6'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '15.1', 'subgroup_hash': 1, 'subgroup_order': 15, 'subgroup_tex': 'C_{15}', 'supersolvable': True, 'sylow': 0}
-
id: 113463533
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4023', 'ambient_counter': 4023, 'ambient_order': 960, 'ambient_tex': 'C_4\\times C_{30}.D_4', 'central': True, 'central_factor': False, 'centralizer_order': 960, 'characteristic': True, 'core_order': 12, 'counter': 129, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4023.80.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '80.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '80.36', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 36, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 80, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
-
id: 113463535
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4023', 'ambient_counter': 4023, 'ambient_order': 960, 'ambient_tex': 'C_4\\times C_{30}.D_4', 'central': True, 'central_factor': False, 'centralizer_order': 960, 'characteristic': False, 'core_order': 12, 'counter': 130, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4023.80.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '80.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '80.36', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 36, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 80, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
-
id: 113463536
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4023', 'ambient_counter': 4023, 'ambient_order': 960, 'ambient_tex': 'C_4\\times C_{30}.D_4', 'central': True, 'central_factor': False, 'centralizer_order': 960, 'characteristic': False, 'core_order': 12, 'counter': 131, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4023.80.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '80.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '80.38', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 38, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 80, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{20}:C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
-
id: 113463537
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4023', 'ambient_counter': 4023, 'ambient_order': 960, 'ambient_tex': 'C_4\\times C_{30}.D_4', 'central': True, 'central_factor': False, 'centralizer_order': 960, 'characteristic': True, 'core_order': 12, 'counter': 132, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4023.80.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '80.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '80.44', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 44, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 80, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
-
id: 113463538
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4023', 'ambient_counter': 4023, 'ambient_order': 960, 'ambient_tex': 'C_4\\times C_{30}.D_4', 'central': True, 'central_factor': False, 'centralizer_order': 960, 'characteristic': True, 'core_order': 12, 'counter': 133, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4023.80.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '80.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '80.35', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 35, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 80, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}:Q_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
-
id: 113463539
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4023', 'ambient_counter': 4023, 'ambient_order': 960, 'ambient_tex': 'C_4\\times C_{30}.D_4', 'central': True, 'central_factor': False, 'centralizer_order': 960, 'characteristic': False, 'core_order': 12, 'counter': 134, 'cyclic': True, 'direct': True, 'hall': 0, 'label': '960.4023.80.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '80.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '80.12', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 12, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 80, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}.D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '12.2', 'subgroup_hash': 2, 'subgroup_order': 12, 'subgroup_tex': 'C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 113463540
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4023', 'ambient_counter': 4023, 'ambient_order': 960, 'ambient_tex': 'C_4\\times C_{30}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 6, 'counter': 135, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '960.4023.80.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.2', 'subgroup_hash': 2, 'subgroup_order': 12, 'subgroup_tex': 'C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 113463541
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4023', 'ambient_counter': 4023, 'ambient_order': 960, 'ambient_tex': 'C_4\\times C_{30}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 6, 'counter': 136, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '960.4023.80.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.2', 'subgroup_hash': 2, 'subgroup_order': 12, 'subgroup_tex': 'C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 113463542
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4023', 'ambient_counter': 4023, 'ambient_order': 960, 'ambient_tex': 'C_4\\times C_{30}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 6, 'counter': 137, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '960.4023.80.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.2', 'subgroup_hash': 2, 'subgroup_order': 12, 'subgroup_tex': 'C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 113463543
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4023', 'ambient_counter': 4023, 'ambient_order': 960, 'ambient_tex': 'C_4\\times C_{30}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 6, 'counter': 138, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '960.4023.80.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.2', 'subgroup_hash': 2, 'subgroup_order': 12, 'subgroup_tex': 'C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 113463544
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4023', 'ambient_counter': 4023, 'ambient_order': 960, 'ambient_tex': 'C_4\\times C_{30}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 10, 'counter': 139, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '960.4023.96.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '96.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '96.161', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 161, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 96, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4\\times C_{12}', 'simple': False, 'solvable': True, 'special_labels': ['D', 'L1', 'D1'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '10.2', 'subgroup_hash': 2, 'subgroup_order': 10, 'subgroup_tex': 'C_{10}', 'supersolvable': True, 'sylow': 0}
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id: 113463546
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4023', 'ambient_counter': 4023, 'ambient_order': 960, 'ambient_tex': 'C_4\\times C_{30}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 10, 'counter': 140, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '960.4023.96.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '96.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '96.164', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 164, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 96, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '10.2', 'subgroup_hash': 2, 'subgroup_order': 10, 'subgroup_tex': 'C_{10}', 'supersolvable': True, 'sylow': 0}
-
id: 113463547
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4023', 'ambient_counter': 4023, 'ambient_order': 960, 'ambient_tex': 'C_4\\times C_{30}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 10, 'counter': 141, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '960.4023.96.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '96.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '96.165', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 165, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 96, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4\\times C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '10.2', 'subgroup_hash': 2, 'subgroup_order': 10, 'subgroup_tex': 'C_{10}', 'supersolvable': True, 'sylow': 0}
-
id: 113463548
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4023', 'ambient_counter': 4023, 'ambient_order': 960, 'ambient_tex': 'C_4\\times C_{30}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 10, 'counter': 142, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '960.4023.96.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '96.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '96.166', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 166, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 96, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'Q_8\\times C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '10.2', 'subgroup_hash': 2, 'subgroup_order': 10, 'subgroup_tex': 'C_{10}', 'supersolvable': True, 'sylow': 0}
-
id: 113463549
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4023', 'ambient_counter': 4023, 'ambient_order': 960, 'ambient_tex': 'C_4\\times C_{30}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 10, 'counter': 143, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '960.4023.96.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '96.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '96.163', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 163, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 96, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4:C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '10.2', 'subgroup_hash': 2, 'subgroup_order': 10, 'subgroup_tex': 'C_{10}', 'supersolvable': True, 'sylow': 0}
-
id: 113463550
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4023', 'ambient_counter': 4023, 'ambient_order': 960, 'ambient_tex': 'C_4\\times C_{30}.D_4', 'central': True, 'central_factor': False, 'centralizer_order': 960, 'characteristic': True, 'core_order': 8, 'counter': 144, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4023.120.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '120.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '120.44', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 44, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 120, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6\\times D_{10}', 'simple': False, 'solvable': True, 'special_labels': ['Phi'], '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: 113463551
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4023', 'ambient_counter': 4023, 'ambient_order': 960, 'ambient_tex': 'C_4\\times C_{30}.D_4', 'central': True, 'central_factor': False, 'centralizer_order': 960, 'characteristic': False, 'core_order': 8, 'counter': 145, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4023.120.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '120.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '120.17', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 17, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 120, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_5\\times C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, '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: 113463552
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4023', 'ambient_counter': 4023, 'ambient_order': 960, 'ambient_tex': 'C_4\\times C_{30}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 8, 'counter': 146, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4023.120.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '120.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '120.17', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 17, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 120, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_5\\times C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, '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: 113463553
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4023', 'ambient_counter': 4023, 'ambient_order': 960, 'ambient_tex': 'C_4\\times C_{30}.D_4', 'central': True, 'central_factor': False, 'centralizer_order': 960, 'characteristic': False, 'core_order': 8, 'counter': 147, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4023.120.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '120.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '120.20', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 20, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 120, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{15}:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, '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: 113463554
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4023', 'ambient_counter': 4023, 'ambient_order': 960, 'ambient_tex': 'C_4\\times C_{30}.D_4', 'central': True, 'central_factor': False, 'centralizer_order': 960, 'characteristic': False, 'core_order': 8, 'counter': 148, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4023.120.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '120.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '120.16', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 16, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 120, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{15}:Q_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, '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: 113463555
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4023', 'ambient_counter': 4023, 'ambient_order': 960, 'ambient_tex': 'C_4\\times C_{30}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 4, 'counter': 149, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4023.120.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '120.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 120, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, '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: 113463557
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4023', 'ambient_counter': 4023, 'ambient_order': 960, 'ambient_tex': 'C_4\\times C_{30}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 4, 'counter': 150, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4023.120.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '120.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 120, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, '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: 113463558
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4023', 'ambient_counter': 4023, 'ambient_order': 960, 'ambient_tex': 'C_4\\times C_{30}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 4, 'counter': 151, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4023.120.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '120.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 120, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, '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: 113463559
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4023', 'ambient_counter': 4023, 'ambient_order': 960, 'ambient_tex': 'C_4\\times C_{30}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 4, 'counter': 152, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4023.120.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '120.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 120, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, '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: 113463560
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4023', 'ambient_counter': 4023, 'ambient_order': 960, 'ambient_tex': 'C_4\\times C_{30}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 4, 'counter': 153, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4023.120.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '120.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 120, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, '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: 113463561
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4023', 'ambient_counter': 4023, 'ambient_order': 960, 'ambient_tex': 'C_4\\times C_{30}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 4, 'counter': 154, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4023.120.k1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '120.k1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 120, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, '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: 113463562
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4023', 'ambient_counter': 4023, 'ambient_order': 960, 'ambient_tex': 'C_4\\times C_{30}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 4, 'counter': 155, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4023.120.l1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '120.l1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 120, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, '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: 113463563
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4023', 'ambient_counter': 4023, 'ambient_order': 960, 'ambient_tex': 'C_4\\times C_{30}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 4, 'counter': 156, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4023.120.m1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '120.m1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 120, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, '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: 113463564
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4023', 'ambient_counter': 4023, 'ambient_order': 960, 'ambient_tex': 'C_4\\times C_{30}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 4, 'counter': 157, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4023.120.n1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '120.n1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 120, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, '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: 113463565
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4023', 'ambient_counter': 4023, 'ambient_order': 960, 'ambient_tex': 'C_4\\times C_{30}.D_4', 'central': True, 'central_factor': False, 'centralizer_order': 960, 'characteristic': True, 'core_order': 6, 'counter': 158, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '960.4023.160.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '160.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '160.92', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 92, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 160, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_5\\times C_4^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '6.2', 'subgroup_hash': 2, 'subgroup_order': 6, 'subgroup_tex': 'C_6', 'supersolvable': True, 'sylow': 0}
-
id: 113463566
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4023', 'ambient_counter': 4023, 'ambient_order': 960, 'ambient_tex': 'C_4\\times C_{30}.D_4', 'central': True, 'central_factor': False, 'centralizer_order': 960, 'characteristic': True, 'core_order': 6, 'counter': 159, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '960.4023.160.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '160.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '160.93', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 93, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 160, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:D_5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '6.2', 'subgroup_hash': 2, 'subgroup_order': 6, 'subgroup_tex': 'C_6', 'supersolvable': True, 'sylow': 0}
-
id: 113463568
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4023', 'ambient_counter': 4023, 'ambient_order': 960, 'ambient_tex': 'C_4\\times C_{30}.D_4', 'central': True, 'central_factor': False, 'centralizer_order': 960, 'characteristic': False, 'core_order': 6, 'counter': 160, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '960.4023.160.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '160.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '160.149', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 149, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 160, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{20}:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '6.2', 'subgroup_hash': 2, 'subgroup_order': 6, 'subgroup_tex': 'C_6', 'supersolvable': True, 'sylow': 0}
-
id: 113463569
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4023', 'ambient_counter': 4023, 'ambient_order': 960, 'ambient_tex': 'C_4\\times C_{30}.D_4', 'central': True, 'central_factor': False, 'centralizer_order': 960, 'characteristic': False, 'core_order': 6, 'counter': 161, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '960.4023.160.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '160.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '160.89', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 89, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 160, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{20}:Q_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '6.2', 'subgroup_hash': 2, 'subgroup_order': 6, 'subgroup_tex': 'C_6', 'supersolvable': True, 'sylow': 0}
-
id: 113463570
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4023', 'ambient_counter': 4023, 'ambient_order': 960, 'ambient_tex': 'C_4\\times C_{30}.D_4', 'central': True, 'central_factor': False, 'centralizer_order': 960, 'characteristic': True, 'core_order': 6, 'counter': 162, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '960.4023.160.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '160.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '160.144', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 144, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 160, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.D_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '6.2', 'subgroup_hash': 2, 'subgroup_order': 6, 'subgroup_tex': 'C_6', 'supersolvable': True, 'sylow': 0}
-
id: 113463571
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4023', 'ambient_counter': 4023, 'ambient_order': 960, 'ambient_tex': 'C_4\\times C_{30}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 5, 'counter': 163, 'cyclic': True, 'direct': False, 'hall': 5, 'label': '960.4023.192.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '192.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '192.811', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 811, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 192, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{12}:C_4^2', 'simple': True, 'solvable': True, 'special_labels': ['L2', 'C7'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '5.1', 'subgroup_hash': 1, 'subgroup_order': 5, 'subgroup_tex': 'C_5', 'supersolvable': True, 'sylow': 5}
-
id: 113463572
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4023', 'ambient_counter': 4023, 'ambient_order': 960, 'ambient_tex': 'C_4\\times C_{30}.D_4', 'central': True, 'central_factor': False, 'centralizer_order': 960, 'characteristic': True, 'core_order': 4, 'counter': 164, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4023.240.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '240.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '240.156', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 156, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 240, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{12}\\times D_{10}', 'simple': False, 'solvable': True, 'special_labels': [], '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: 113463573
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4023', 'ambient_counter': 4023, 'ambient_order': 960, 'ambient_tex': 'C_4\\times C_{30}.D_4', 'central': True, 'central_factor': False, 'centralizer_order': 960, 'characteristic': False, 'core_order': 4, 'counter': 165, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4023.240.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '240.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '240.156', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 156, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 240, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{12}\\times D_{10}', 'simple': False, 'solvable': True, 'special_labels': [], '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: 113463574
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4023', 'ambient_counter': 4023, 'ambient_order': 960, 'ambient_tex': 'C_4\\times C_{30}.D_4', 'central': True, 'central_factor': False, 'centralizer_order': 960, 'characteristic': False, 'core_order': 4, 'counter': 166, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4023.240.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '240.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '240.158', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 158, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 240, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{20}:C_6', 'simple': False, 'solvable': True, 'special_labels': [], '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: 113463575
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4023', 'ambient_counter': 4023, 'ambient_order': 960, 'ambient_tex': 'C_4\\times C_{30}.D_4', 'central': True, 'central_factor': False, 'centralizer_order': 960, 'characteristic': True, 'core_order': 4, 'counter': 167, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4023.240.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '240.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '240.164', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 164, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 240, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{30}:D_4', 'simple': False, 'solvable': True, 'special_labels': [], '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: 113463576
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4023', 'ambient_counter': 4023, 'ambient_order': 960, 'ambient_tex': 'C_4\\times C_{30}.D_4', 'central': True, 'central_factor': False, 'centralizer_order': 960, 'characteristic': True, 'core_order': 4, 'counter': 168, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4023.240.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '240.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '240.155', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 155, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 240, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{30}:Q_8', 'simple': False, 'solvable': True, 'special_labels': [], '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: 113463577
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4023', 'ambient_counter': 4023, 'ambient_order': 960, 'ambient_tex': 'C_4\\times C_{30}.D_4', 'central': True, 'central_factor': False, 'centralizer_order': 960, 'characteristic': False, 'core_order': 4, 'counter': 169, 'cyclic': True, 'direct': True, 'hall': 0, 'label': '960.4023.240.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '240.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '240.41', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 41, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 240, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{30}.D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
-
id: 113463579
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4023', 'ambient_counter': 4023, 'ambient_order': 960, 'ambient_tex': 'C_4\\times C_{30}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 2, 'counter': 170, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '960.4023.240.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '240.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 240, 'quotient_simple': 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: 113463580
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4023', 'ambient_counter': 4023, 'ambient_order': 960, 'ambient_tex': 'C_4\\times C_{30}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 2, 'counter': 171, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '960.4023.240.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '240.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 240, 'quotient_simple': 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: 113463581
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4023', 'ambient_counter': 4023, 'ambient_order': 960, 'ambient_tex': 'C_4\\times C_{30}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 2, 'counter': 172, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '960.4023.240.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '240.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 240, 'quotient_simple': 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: 113463582
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4023', 'ambient_counter': 4023, 'ambient_order': 960, 'ambient_tex': 'C_4\\times C_{30}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 2, 'counter': 173, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '960.4023.240.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '240.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 240, 'quotient_simple': 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: 113463583
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4023', 'ambient_counter': 4023, 'ambient_order': 960, 'ambient_tex': 'C_4\\times C_{30}.D_4', 'central': True, 'central_factor': False, 'centralizer_order': 960, 'characteristic': True, 'core_order': 3, 'counter': 174, 'cyclic': True, 'direct': True, 'hall': 3, 'label': '960.4023.320.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '320.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '320.558', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 558, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 320, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times C_{10}.D_4', 'simple': True, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '3.1', 'subgroup_hash': 1, 'subgroup_order': 3, 'subgroup_tex': 'C_3', 'supersolvable': True, 'sylow': 3}
-
id: 113463584
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4023', 'ambient_counter': 4023, 'ambient_order': 960, 'ambient_tex': 'C_4\\times C_{30}.D_4', 'central': True, 'central_factor': False, 'centralizer_order': 960, 'characteristic': True, 'core_order': 2, 'counter': 175, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '960.4023.480.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '480.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '480.664', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 664, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 480, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_5\\times C_{12}', 'simple': True, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': True, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
-
id: 113463585
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4023', 'ambient_counter': 4023, 'ambient_order': 960, 'ambient_tex': 'C_4\\times C_{30}.D_4', 'central': True, 'central_factor': False, 'centralizer_order': 960, 'characteristic': True, 'core_order': 2, 'counter': 176, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '960.4023.480.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '480.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '480.665', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 665, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 480, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3\\times C_4^2:D_5', '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: 113463586
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4023', 'ambient_counter': 4023, 'ambient_order': 960, 'ambient_tex': 'C_4\\times C_{30}.D_4', 'central': True, 'central_factor': False, 'centralizer_order': 960, 'characteristic': False, 'core_order': 2, 'counter': 177, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '960.4023.480.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '480.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '480.721', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 721, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 480, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{60}:D_4', '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}
-
id: 113463587
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4023', 'ambient_counter': 4023, 'ambient_order': 960, 'ambient_tex': 'C_4\\times C_{30}.D_4', 'central': True, 'central_factor': False, 'centralizer_order': 960, 'characteristic': False, 'core_order': 2, 'counter': 178, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '960.4023.480.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '480.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '480.661', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 661, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 480, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{60}:Q_8', '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}
-
id: 113463588
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4023', 'ambient_counter': 4023, 'ambient_order': 960, 'ambient_tex': 'C_4\\times C_{30}.D_4', 'central': True, 'central_factor': False, 'centralizer_order': 960, 'characteristic': True, 'core_order': 2, 'counter': 179, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '960.4023.480.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '480.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '480.716', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 716, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 480, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{30}.D_4', '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: 113463590
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4023', 'ambient_counter': 4023, 'ambient_order': 960, 'ambient_tex': 'C_4\\times C_{30}.D_4', 'central': True, 'central_factor': False, 'centralizer_order': 960, 'characteristic': True, 'core_order': 1, 'counter': 180, 'cyclic': True, 'direct': True, 'hall': 1, 'label': '960.4023.960.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '960.a1', 'outer_equivalence': True, 'perfect': True, 'proper': False, 'quotient': '960.4023', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4023, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 960, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times C_{30}.D_4', 'simple': False, 'solvable': True, 'special_labels': ['PC', 'U2', 'D2', 'C8'], '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
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id: 113463610
{'ambient': '960.4023', 'aut_centralizer_order': None, 'aut_label': '8.n1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['4.e1', '4.i1'], 'contains': ['16.e1', '16.j1', '24.n1', '40.n1'], 'core': '16.e1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [5, 640, 2, 480, 192], 'label': '960.4023.8.n1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.c1', 'old_label': '8.n1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.n1', 'subgroup_fusion': None, 'weyl_group': None}
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id: 113463500
{'ambient': '960.4023', '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': '20.a1', 'complements': ['960.a1'], 'conjugacy_class_count': 1, 'contained_in': [], 'contains': ['2.a1', '2.b1', '2.c1', '2.d1', '2.e1', '3.a1', '5.a1'], 'core': '1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1, 2, 480, 240, 8, 192, 4, 640], 'label': '960.4023.1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': [], 'normal_contains': ['2.a1', '2.b1', '2.c1', '2.d1', '2.e1', '3.a1'], 'normalizer': '1.a1', 'old_label': '1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1.a1', 'subgroup_fusion': None, 'weyl_group': None}
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id: 113463501
{'ambient': '960.4023', 'aut_centralizer_order': None, 'aut_label': '4.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.b1', '2.d1'], 'contains': ['8.a1', '8.c1', '8.f1', '12.c1', '20.c1'], 'core': '4.c1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [2, 192, 480, 640, 4, 8], 'label': '960.4023.4.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.c1', 'normal_contained_in': ['2.b1', '2.d1'], 'normal_contains': ['8.a1', '8.c1', '8.f1', '12.c1'], 'normalizer': '1.a1', 'old_label': '4.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.c1', 'subgroup_fusion': None, 'weyl_group': None}
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id: 113463502
{'ambient': '960.4023', 'aut_centralizer_order': None, 'aut_label': '40.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '10.b1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['8.c1', '20.c1', '20.f1'], 'contains': ['80.a1', '80.g1', '120.f1'], 'core': '80.a1', 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [4, 480, 640, 8], 'label': '960.4023.40.f1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '40.f1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.f1', 'subgroup_fusion': None, 'weyl_group': None}
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id: 113463503
{'ambient': '960.4023', 'aut_centralizer_order': None, 'aut_label': '40.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '10.b1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['8.d1', '20.d1', '20.f1'], 'contains': ['80.a1', '80.h1', '120.g1'], 'core': '80.a1', 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [636, 480, 640, 488], 'label': '960.4023.40.g1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '40.g1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.g1', 'subgroup_fusion': None, 'weyl_group': None}
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id: 113463504
{'ambient': '960.4023', 'aut_centralizer_order': None, 'aut_label': '40.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '10.b1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['8.f1', '20.c1', '20.g1'], 'contains': ['80.b1', '80.g1', '120.h1'], 'core': '80.b1', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [2, 4, 640, 8], 'label': '960.4023.40.h1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '40.h1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.h1', 'subgroup_fusion': None, 'weyl_group': None}
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id: 113463505
{'ambient': '960.4023', 'aut_centralizer_order': None, 'aut_label': '40.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '10.c1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['8.g1', '20.e1', '20.g1'], 'contains': ['80.b1', '80.j1', '120.i1'], 'core': '80.b1', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [5, 8, 640, 2], 'label': '960.4023.40.i1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.g1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '40.i1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.i1', 'subgroup_fusion': None, 'weyl_group': None}
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id: 113463506
{'ambient': '960.4023', 'aut_centralizer_order': None, 'aut_label': '40.j1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['8.j1', '20.b1'], 'contains': ['80.c1', '80.i1', '120.j1'], 'core': '80.c1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [9, 488, 640, 2], 'label': '960.4023.40.j1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '20.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '40.j1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.j1', 'subgroup_fusion': None, 'weyl_group': None}
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id: 113463507
{'ambient': '960.4023', 'aut_centralizer_order': None, 'aut_label': '40.k1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '10.b1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['8.k1', '20.d1'], 'contains': ['80.c1', '80.h1', '120.k1'], 'core': '80.c1', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [2, 636, 640, 488], 'label': '960.4023.40.k1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.b1', 'old_label': '40.k1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.k1', 'subgroup_fusion': None, 'weyl_group': None}
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id: 113463508
{'ambient': '960.4023', 'aut_centralizer_order': None, 'aut_label': '40.l1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '10.c1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['8.l1', '20.e1'], 'contains': ['80.c1', '80.j1', '120.l1'], 'core': '80.c1', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [13, 488, 640, 2], 'label': '960.4023.40.l1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.c1', 'old_label': '40.l1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.l1', 'subgroup_fusion': None, 'weyl_group': None}
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id: 113463509
{'ambient': '960.4023', 'aut_centralizer_order': None, 'aut_label': '40.m1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['8.m1', '20.b1', '20.h1'], 'contains': ['80.d1', '80.i1', '120.m1'], 'core': '80.d1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [1, 480, 640, 2], 'label': '960.4023.40.m1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '20.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '40.m1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.m1', 'subgroup_fusion': None, 'weyl_group': None}
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id: 113463510
{'ambient': '960.4023', 'aut_centralizer_order': None, 'aut_label': '40.n1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '10.c1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['8.n1', '20.e1', '20.i1'], 'contains': ['80.d1', '80.j1', '120.n1'], 'core': '80.d1', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [5, 480, 640, 2], 'label': '960.4023.40.n1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.c1', 'old_label': '40.n1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.n1', 'subgroup_fusion': None, 'weyl_group': None}
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id: 113463511
{'ambient': '960.4023', 'aut_centralizer_order': None, 'aut_label': '48.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.a1', '24.a1', '24.b1', '24.c1', '24.d1'], 'contains': ['96.a1', '96.b1', '96.e1', '240.a1'], 'core': '48.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8, 192, 480], 'label': '960.4023.48.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.a1', 'normal_contained_in': ['16.a1', '24.a1', '24.b1', '24.c1', '24.d1'], 'normal_contains': ['96.a1', '96.b1', '96.e1', '240.a1'], 'normalizer': '1.a1', 'old_label': '48.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.a1', 'subgroup_fusion': None, 'weyl_group': None}
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id: 113463512
{'ambient': '960.4023', 'aut_centralizer_order': None, 'aut_label': '4.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.b1', '2.e1'], 'contains': ['8.a1', '8.d1', '8.k1', '12.d1', '20.d1'], 'core': '4.d1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [2, 192, 480, 640, 636, 488], 'label': '960.4023.4.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.d1', 'normal_contained_in': ['2.b1', '2.e1'], 'normal_contains': ['8.a1', '8.d1', '12.d1'], 'normalizer': '1.a1', 'old_label': '4.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.d1', 'subgroup_fusion': None, 'weyl_group': None}
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id: 113463513
{'ambient': '960.4023', 'aut_centralizer_order': None, 'aut_label': '48.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['16.b1', '24.a1', '24.e1', '24.f1', '24.g1'], 'contains': ['96.a1', '96.c1', '96.d1', '240.b1'], 'core': '48.b1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [2, 192, 8], 'label': '960.4023.48.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.b1', 'normal_contained_in': ['16.b1', '24.a1', '24.e1', '24.f1', '24.g1'], 'normal_contains': ['96.a1', '96.c1', '96.d1', '240.b1'], 'normalizer': '1.a1', 'old_label': '48.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.b1', 'subgroup_fusion': None, 'weyl_group': None}
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id: 113463514
{'ambient': '960.4023', 'aut_centralizer_order': None, 'aut_label': '48.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20.a1', 'complements': ['20.h1', '20.i1'], 'conjugacy_class_count': 4, 'contained_in': ['16.c1', '24.c1', '24.f1'], 'contains': ['96.a1', '240.g1'], 'core': '48.c1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [4, 192, 8], 'label': '960.4023.48.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.c1', 'normal_contained_in': ['16.c1', '24.c1', '24.f1'], 'normal_contains': ['96.a1'], 'normalizer': '1.a1', 'old_label': '48.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.c1', 'subgroup_fusion': None, 'weyl_group': None}
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id: 113463515
{'ambient': '960.4023', 'aut_centralizer_order': None, 'aut_label': '48.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['16.d1', '24.a1', '24.j1', '24.k1', '24.l1'], 'contains': ['96.b1', '96.c1', '96.d1', '240.c1'], 'core': '48.d1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [2, 192, 488], 'label': '960.4023.48.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.d1', 'normal_contained_in': ['16.d1', '24.a1'], 'normal_contains': ['96.b1', '96.c1', '96.d1', '240.c1'], 'normalizer': '1.a1', 'old_label': '48.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.d1', 'subgroup_fusion': None, 'weyl_group': None}
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id: 113463516
{'ambient': '960.4023', 'aut_centralizer_order': None, 'aut_label': '48.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.e1', '24.a1', '24.h1', '24.m1', '24.n1'], 'contains': ['96.c1', '96.e1', '240.d1'], 'core': '48.e1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [2, 192, 480], 'label': '960.4023.48.e1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.e1', 'normal_contained_in': ['16.e1', '24.a1', '24.h1'], 'normal_contains': ['96.c1', '96.e1', '240.d1'], 'normalizer': '1.a1', 'old_label': '48.e1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.e1', 'subgroup_fusion': None, 'weyl_group': None}
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id: 113463517
{'ambient': '960.4023', 'aut_centralizer_order': None, 'aut_label': '48.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.f1', '24.a1', '24.i1'], 'contains': ['96.d1', '96.e1', '240.e1'], 'core': '48.f1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [10, 192, 480], 'label': '960.4023.48.f1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.f1', 'normal_contained_in': ['16.f1', '24.a1', '24.i1'], 'normal_contains': ['96.d1', '96.e1', '240.e1'], 'normalizer': '1.a1', 'old_label': '48.f1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.f1', 'subgroup_fusion': None, 'weyl_group': None}
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id: 113463518
{'ambient': '960.4023', 'aut_centralizer_order': None, 'aut_label': '48.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1', 'complements': ['20.g1'], 'conjugacy_class_count': 4, 'contained_in': ['16.g1', '24.b1', '24.h1', '24.i1'], 'contains': ['96.e1', '240.f1'], 'core': '48.g1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [720, 480, 192], 'label': '960.4023.48.g1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.g1', 'normal_contained_in': ['16.g1', '24.b1', '24.h1', '24.i1'], 'normal_contains': ['96.e1', '240.f1'], 'normalizer': '1.a1', 'old_label': '48.g1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.g1', 'subgroup_fusion': None, 'weyl_group': None}
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id: 113463519
{'ambient': '960.4023', 'aut_centralizer_order': None, 'aut_label': '48.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['16.h1', '24.d1', '24.k1'], 'contains': ['96.b1', '240.h1'], 'core': '96.b1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [148, 192, 488], 'label': '960.4023.48.h1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1', 'old_label': '48.h1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.h1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113463520
{'ambient': '960.4023', 'aut_centralizer_order': None, 'aut_label': '48.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['16.i1', '24.e1', '24.j1', '24.m1'], 'contains': ['96.c1', '240.i1'], 'core': '96.c1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [1, 2, 192], 'label': '960.4023.48.i1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '48.i1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.i1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113463521
{'ambient': '960.4023', 'aut_centralizer_order': None, 'aut_label': '48.j1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['16.j1', '24.g1', '24.l1', '24.n1'], 'contains': ['96.c1', '240.j1'], 'core': '96.c1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [5, 192, 2], 'label': '960.4023.48.j1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.g1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.c1', 'old_label': '48.j1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.j1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113463522
{'ambient': '960.4023', 'aut_centralizer_order': None, 'aut_label': '60.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['12.a1', '20.a1', '30.a1', '30.b1', '30.c1'], 'contains': ['120.a1', '120.b1', '120.d1', '120.e1'], 'core': '60.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [2, 8, 720], 'label': '960.4023.60.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '60.a1', 'normal_contained_in': ['12.a1', '20.a1', '30.a1'], 'normal_contains': ['120.a1', '120.b1', '120.d1', '120.e1'], 'normalizer': '1.a1', 'old_label': '60.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '60.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113463523
{'ambient': '960.4023', 'aut_centralizer_order': None, 'aut_label': '4.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['2.c1', '2.d1', '2.e1'], 'contains': ['8.a1', '8.g1', '8.l1', '8.n1', '12.e1', '20.e1'], 'core': '4.e1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [5, 192, 480, 640, 8, 2], 'label': '960.4023.4.e1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.e1', 'normal_contained_in': ['2.c1', '2.d1', '2.e1'], 'normal_contains': ['8.a1', '8.g1', '12.e1'], 'normalizer': '1.a1', 'old_label': '4.e1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.e1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113463524
{'ambient': '960.4023', 'aut_centralizer_order': None, 'aut_label': '60.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['12.b1', '20.b1', '30.a1', '30.d1', '30.e1'], 'contains': ['120.a1', '120.c1', '120.j1', '120.m1'], 'core': '60.b1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1, 8, 480], 'label': '960.4023.60.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '60.b1', 'normal_contained_in': ['12.b1', '20.b1', '30.a1'], 'normal_contains': ['120.a1', '120.c1'], 'normalizer': '1.a1', 'old_label': '60.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '60.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113463525
{'ambient': '960.4023', 'aut_centralizer_order': None, 'aut_label': '60.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '10.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.c1', '20.c1', '30.b1', '30.d1'], 'contains': ['120.a1', '120.f1', '120.h1'], 'core': '120.a1', 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [2, 4, 480], 'label': '960.4023.60.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '60.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '60.c1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113463526
{'ambient': '960.4023', 'aut_centralizer_order': None, 'aut_label': '60.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '10.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.d1', '20.d1', '30.b1', '30.e1'], 'contains': ['120.a1', '120.g1', '120.k1'], 'core': '120.a1', 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [2, 148, 480], 'label': '960.4023.60.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '60.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '60.d1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113463527
{'ambient': '960.4023', 'aut_centralizer_order': None, 'aut_label': '60.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '10.c1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['12.e1', '20.e1', '30.c1', '30.d1', '30.e1'], 'contains': ['120.a1', '120.i1', '120.l1', '120.n1'], 'core': '120.a1', 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [5, 8, 480], 'label': '960.4023.60.e1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '60.e1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '60.e1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113463528
{'ambient': '960.4023', 'aut_centralizer_order': None, 'aut_label': '60.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '10.b1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['12.f1', '20.f1', '30.b1'], 'contains': ['120.b1', '120.f1', '120.g1'], 'core': '120.b1', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [4, 720], 'label': '960.4023.60.f1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '60.f1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '60.f1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113463529
{'ambient': '960.4023', 'aut_centralizer_order': None, 'aut_label': '60.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['12.g1', '20.g1', '30.d1'], 'contains': ['120.c1', '120.h1', '120.i1'], 'core': '120.c1', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [1, 4], 'label': '960.4023.60.g1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.g1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '60.g1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '60.g1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113463530
{'ambient': '960.4023', 'aut_centralizer_order': None, 'aut_label': '60.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['12.h1', '20.h1', '30.a1'], 'contains': ['120.d1', '120.m1'], 'core': '120.d1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [1, 720], 'label': '960.4023.60.h1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '30.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '60.h1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '60.h1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113463531
{'ambient': '960.4023', 'aut_centralizer_order': None, 'aut_label': '60.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '10.c1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['12.i1', '20.i1', '30.c1'], 'contains': ['120.d1', '120.n1'], 'core': '120.d1', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [5, 720], 'label': '960.4023.60.i1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.c1', 'old_label': '60.i1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '60.i1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113463532
{'ambient': '960.4023', 'aut_centralizer_order': None, 'aut_label': '64.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1', 'complements': ['15.a1'], 'conjugacy_class_count': 1, 'contained_in': ['32.a1', '32.b1', '32.c1', '32.d1', '32.e1'], 'contains': ['192.a1', '320.a1'], 'core': '64.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [640, 192], 'label': '960.4023.64.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.a1', 'normal_contained_in': ['32.a1', '32.b1', '32.c1', '32.d1', '32.e1'], 'normal_contains': ['192.a1', '320.a1'], 'normalizer': '1.a1', 'old_label': '64.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113463533
{'ambient': '960.4023', 'aut_centralizer_order': None, 'aut_label': '80.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.a1', '40.a1', '40.b1', '40.f1', '40.g1'], 'contains': ['160.a1', '160.b1', '160.e1', '240.a1'], 'core': '80.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8, 480, 640], 'label': '960.4023.80.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '80.a1', 'normal_contained_in': ['16.a1', '40.a1', '40.b1'], 'normal_contains': ['160.a1', '160.b1', '160.e1', '240.a1'], 'normalizer': '1.a1', 'old_label': '80.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113463534
{'ambient': '960.4023', 'aut_centralizer_order': None, 'aut_label': '4.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20.a1', 'complements': ['240.i1', '240.j1'], 'conjugacy_class_count': 4, 'contained_in': ['2.b1'], 'contains': ['8.b1', '8.c1', '8.d1', '12.f1', '20.f1'], 'core': '4.f1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [4, 192, 640, 8, 240, 480], 'label': '960.4023.4.f1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.f1', 'normal_contained_in': ['2.b1'], 'normal_contains': ['8.b1', '8.c1', '8.d1', '12.f1'], 'normalizer': '1.a1', 'old_label': '4.f1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.f1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113463535
{'ambient': '960.4023', 'aut_centralizer_order': None, 'aut_label': '80.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['16.b1', '40.a1', '40.c1', '40.h1', '40.i1'], 'contains': ['160.a1', '160.c1', '160.d1', '240.b1'], 'core': '80.b1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [2, 8, 640], 'label': '960.4023.80.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '80.b1', 'normal_contained_in': ['16.b1', '40.a1', '40.c1'], 'normal_contains': ['160.a1', '160.c1', '160.d1', '240.b1'], 'normalizer': '1.a1', 'old_label': '80.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113463536
{'ambient': '960.4023', 'aut_centralizer_order': None, 'aut_label': '80.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['16.d1', '40.a1', '40.j1', '40.k1', '40.l1'], 'contains': ['160.b1', '160.c1', '160.d1', '240.c1'], 'core': '80.c1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [10, 488, 640], 'label': '960.4023.80.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '80.c1', 'normal_contained_in': ['16.d1', '40.a1'], 'normal_contains': ['160.b1', '160.c1', '160.d1', '240.c1'], 'normalizer': '1.a1', 'old_label': '80.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.c1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113463537
{'ambient': '960.4023', 'aut_centralizer_order': None, 'aut_label': '80.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.e1', '40.a1', '40.d1', '40.m1', '40.n1'], 'contains': ['160.c1', '160.e1', '240.d1'], 'core': '80.d1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [2, 480, 640], 'label': '960.4023.80.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '80.d1', 'normal_contained_in': ['16.e1', '40.a1', '40.d1'], 'normal_contains': ['160.c1', '160.e1', '240.d1'], 'normalizer': '1.a1', 'old_label': '80.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.d1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113463538
{'ambient': '960.4023', 'aut_centralizer_order': None, 'aut_label': '80.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.f1', '40.a1', '40.e1'], 'contains': ['160.d1', '160.e1', '240.e1'], 'core': '80.e1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [10, 480, 640], 'label': '960.4023.80.e1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '80.e1', 'normal_contained_in': ['16.f1', '40.a1', '40.e1'], 'normal_contains': ['160.d1', '160.e1', '240.e1'], 'normalizer': '1.a1', 'old_label': '80.e1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.e1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113463539
{'ambient': '960.4023', 'aut_centralizer_order': None, 'aut_label': '80.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': ['12.g1'], 'conjugacy_class_count': 4, 'contained_in': ['16.g1', '40.b1', '40.d1', '40.e1'], 'contains': ['160.e1', '240.f1'], 'core': '80.f1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [240, 640, 480], 'label': '960.4023.80.f1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '80.f1', 'normal_contained_in': ['16.g1', '40.b1', '40.d1', '40.e1'], 'normal_contains': ['160.e1', '240.f1'], 'normalizer': '1.a1', 'old_label': '80.f1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.f1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113463540
{'ambient': '960.4023', 'aut_centralizer_order': None, 'aut_label': '80.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '10.b1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['16.c1', '40.f1', '40.h1'], 'contains': ['160.a1', '240.g1'], 'core': '160.a1', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [4, 640, 8], 'label': '960.4023.80.g1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '80.g1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.g1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113463541
{'ambient': '960.4023', 'aut_centralizer_order': None, 'aut_label': '80.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '10.b1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['16.h1', '40.g1', '40.k1'], 'contains': ['160.b1', '240.h1'], 'core': '160.b1', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [636, 640, 488], 'label': '960.4023.80.h1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.b1', 'old_label': '80.h1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.h1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113463542
{'ambient': '960.4023', 'aut_centralizer_order': None, 'aut_label': '80.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['16.i1', '40.c1', '40.j1', '40.m1'], 'contains': ['160.c1', '240.i1'], 'core': '160.c1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [1, 640, 2], 'label': '960.4023.80.i1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '40.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '80.i1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.i1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113463543
{'ambient': '960.4023', 'aut_centralizer_order': None, 'aut_label': '80.j1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '10.c1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['16.j1', '40.i1', '40.l1', '40.n1'], 'contains': ['160.c1', '240.j1'], 'core': '160.c1', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [5, 640, 2], 'label': '960.4023.80.j1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.g1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.c1', 'old_label': '80.j1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.j1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113463544
{'ambient': '960.4023', 'aut_centralizer_order': None, 'aut_label': '96.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.a1', '48.a1', '48.b1', '48.c1'], 'contains': ['192.a1', '480.a1'], 'core': '96.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8, 192], 'label': '960.4023.96.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.a1', 'normal_contained_in': ['32.a1', '48.a1', '48.b1', '48.c1'], 'normal_contains': ['192.a1', '480.a1'], 'normalizer': '1.a1', 'old_label': '96.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113463545
{'ambient': '960.4023', 'aut_centralizer_order': None, 'aut_label': '4.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20.a1', 'complements': ['240.f1', '240.h1', '240.i1', '240.j1'], 'conjugacy_class_count': 8, 'contained_in': ['2.d1'], 'contains': ['8.e1', '8.f1', '8.g1', '12.g1', '20.g1'], 'core': '4.g1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [1, 192, 640, 2, 4, 8], 'label': '960.4023.4.g1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.g1', 'normal_contained_in': ['2.d1'], 'normal_contains': ['8.e1', '8.f1', '8.g1', '12.g1'], 'normalizer': '1.a1', 'old_label': '4.g1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.g1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113463546
{'ambient': '960.4023', 'aut_centralizer_order': None, 'aut_label': '96.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.b1', '48.a1', '48.d1', '48.h1'], 'contains': ['192.a1', '480.b1'], 'core': '96.b1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [488, 192], 'label': '960.4023.96.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.b1', 'normal_contained_in': ['32.b1', '48.a1', '48.d1'], 'normal_contains': ['192.a1', '480.b1'], 'normalizer': '1.a1', 'old_label': '96.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113463547
{'ambient': '960.4023', 'aut_centralizer_order': None, 'aut_label': '96.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['32.c1', '48.b1', '48.d1', '48.e1', '48.i1', '48.j1'], 'contains': ['192.a1', '480.c1'], 'core': '96.c1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [2, 192], 'label': '960.4023.96.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.c1', 'normal_contained_in': ['32.c1', '48.b1', '48.d1', '48.e1'], 'normal_contains': ['192.a1', '480.c1'], 'normalizer': '1.a1', 'old_label': '96.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.c1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113463548
{'ambient': '960.4023', 'aut_centralizer_order': None, 'aut_label': '96.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['32.d1', '48.b1', '48.d1', '48.f1'], 'contains': ['192.a1', '480.d1'], 'core': '96.d1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [10, 192], 'label': '960.4023.96.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.d1', 'normal_contained_in': ['32.d1', '48.b1', '48.d1', '48.f1'], 'normal_contains': ['192.a1', '480.d1'], 'normalizer': '1.a1', 'old_label': '96.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.d1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113463549
{'ambient': '960.4023', 'aut_centralizer_order': None, 'aut_label': '96.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.e1', '48.a1', '48.e1', '48.f1', '48.g1'], 'contains': ['192.a1', '480.e1'], 'core': '96.e1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [480, 192], 'label': '960.4023.96.e1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.e1', 'normal_contained_in': ['32.e1', '48.a1', '48.e1', '48.f1', '48.g1'], 'normal_contains': ['192.a1', '480.e1'], 'normalizer': '1.a1', 'old_label': '96.e1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.e1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113463550
{'ambient': '960.4023', 'aut_centralizer_order': None, 'aut_label': '120.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['24.a1', '40.a1', '60.a1', '60.b1', '60.c1', '60.d1', '60.e1'], 'contains': ['240.a1', '240.b1', '240.c1', '240.d1', '240.e1'], 'core': '120.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [2, 8, 480], 'label': '960.4023.120.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '120.a1', 'normal_contained_in': ['24.a1', '40.a1', '60.a1', '60.b1'], 'normal_contains': ['240.a1', '240.b1', '240.c1', '240.d1', '240.e1'], 'normalizer': '1.a1', 'old_label': '120.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '120.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113463551
{'ambient': '960.4023', 'aut_centralizer_order': None, 'aut_label': '120.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['24.b1', '40.b1', '60.a1', '60.f1'], 'contains': ['240.a1', '240.f1'], 'core': '120.b1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [8, 720], 'label': '960.4023.120.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '120.b1', 'normal_contained_in': ['24.b1', '40.b1', '60.a1'], 'normal_contains': ['240.a1', '240.f1'], 'normalizer': '1.a1', 'old_label': '120.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '120.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113463552
{'ambient': '960.4023', 'aut_centralizer_order': None, 'aut_label': '120.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 4, 'contained_in': ['24.e1', '40.c1', '60.b1', '60.g1'], 'contains': ['240.b1', '240.i1'], 'core': '120.c1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [1, 8], 'label': '960.4023.120.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '120.c1', 'normal_contained_in': ['24.e1', '40.c1', '60.b1'], 'normal_contains': ['240.b1'], 'normalizer': '1.a1', 'old_label': '120.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '120.c1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113463553
{'ambient': '960.4023', 'aut_centralizer_order': None, 'aut_label': '120.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['24.h1', '40.d1', '60.a1', '60.h1', '60.i1'], 'contains': ['240.d1', '240.f1'], 'core': '120.d1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [2, 720], 'label': '960.4023.120.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '120.d1', 'normal_contained_in': ['24.h1', '40.d1', '60.a1'], 'normal_contains': ['240.d1', '240.f1'], 'normalizer': '1.a1', 'old_label': '120.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '120.d1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113463554
{'ambient': '960.4023', 'aut_centralizer_order': None, 'aut_label': '120.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['24.i1', '40.e1', '60.a1'], 'contains': ['240.e1', '240.f1'], 'core': '120.e1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [10, 728], 'label': '960.4023.120.e1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '120.e1', 'normal_contained_in': ['24.i1', '40.e1', '60.a1'], 'normal_contains': ['240.e1', '240.f1'], 'normalizer': '1.a1', 'old_label': '120.e1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '120.e1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113463555
{'ambient': '960.4023', 'aut_centralizer_order': None, 'aut_label': '120.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '10.b1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.c1', '40.f1', '60.c1', '60.f1'], 'contains': ['240.a1', '240.g1'], 'core': '240.a1', 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [4, 480], 'label': '960.4023.120.f1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '120.f1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '120.f1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113463556
{'ambient': '960.4023', 'aut_centralizer_order': None, 'aut_label': '4.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['2.a1'], 'contains': ['8.h1', '8.m1', '12.h1', '20.h1'], 'core': '8.h1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [1, 480, 640, 192, 240, 2], 'label': '960.4023.4.h1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '4.h1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.h1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113463557
{'ambient': '960.4023', 'aut_centralizer_order': None, 'aut_label': '120.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '10.b1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.d1', '40.g1', '60.d1', '60.f1'], 'contains': ['240.a1', '240.h1'], 'core': '240.a1', 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [148, 480], 'label': '960.4023.120.g1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '120.g1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '120.g1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113463558
{'ambient': '960.4023', 'aut_centralizer_order': None, 'aut_label': '120.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '10.b1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['24.f1', '40.h1', '60.c1', '60.g1'], 'contains': ['240.b1', '240.g1'], 'core': '240.b1', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [2, 4], 'label': '960.4023.120.h1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '120.h1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '120.h1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113463559
{'ambient': '960.4023', 'aut_centralizer_order': None, 'aut_label': '120.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '10.c1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['24.g1', '40.i1', '60.e1', '60.g1'], 'contains': ['240.b1', '240.j1'], 'core': '240.b1', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [5, 8], 'label': '960.4023.120.i1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.g1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '120.i1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '120.i1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113463560
{'ambient': '960.4023', 'aut_centralizer_order': None, 'aut_label': '120.j1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.j1', '40.j1', '60.b1'], 'contains': ['240.c1', '240.i1'], 'core': '240.c1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [9, 488], 'label': '960.4023.120.j1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '60.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '120.j1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '120.j1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113463561
{'ambient': '960.4023', 'aut_centralizer_order': None, 'aut_label': '120.k1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '10.b1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.k1', '40.k1', '60.d1'], 'contains': ['240.c1', '240.h1'], 'core': '240.c1', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [2, 148], 'label': '960.4023.120.k1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.b1', 'old_label': '120.k1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '120.k1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113463562
{'ambient': '960.4023', 'aut_centralizer_order': None, 'aut_label': '120.l1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '10.c1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.l1', '40.l1', '60.e1'], 'contains': ['240.c1', '240.j1'], 'core': '240.c1', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [13, 488], 'label': '960.4023.120.l1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.c1', 'old_label': '120.l1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '120.l1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113463563
{'ambient': '960.4023', 'aut_centralizer_order': None, 'aut_label': '120.m1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.m1', '40.m1', '60.b1', '60.h1'], 'contains': ['240.d1', '240.i1'], 'core': '240.d1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [1, 480], 'label': '960.4023.120.m1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '60.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '120.m1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '120.m1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113463564
{'ambient': '960.4023', 'aut_centralizer_order': None, 'aut_label': '120.n1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '10.c1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.n1', '40.n1', '60.e1', '60.i1'], 'contains': ['240.d1', '240.j1'], 'core': '240.d1', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [5, 480], 'label': '960.4023.120.n1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.c1', 'old_label': '120.n1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '120.n1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113463565
{'ambient': '960.4023', 'aut_centralizer_order': None, 'aut_label': '160.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.a1', '80.a1', '80.b1', '80.g1'], 'contains': ['320.a1', '480.a1'], 'core': '160.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8, 640], 'label': '960.4023.160.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '160.a1', 'normal_contained_in': ['32.a1', '80.a1', '80.b1'], 'normal_contains': ['320.a1', '480.a1'], 'normalizer': '1.a1', 'old_label': '160.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '160.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113463566
{'ambient': '960.4023', 'aut_centralizer_order': None, 'aut_label': '160.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.b1', '80.a1', '80.c1', '80.h1'], 'contains': ['320.a1', '480.b1'], 'core': '160.b1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [488, 640], 'label': '960.4023.160.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '160.b1', 'normal_contained_in': ['32.b1', '80.a1', '80.c1'], 'normal_contains': ['320.a1', '480.b1'], 'normalizer': '1.a1', 'old_label': '160.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '160.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113463567
{'ambient': '960.4023', 'aut_centralizer_order': None, 'aut_label': '4.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['2.c1'], 'contains': ['8.h1', '8.n1', '12.i1', '20.i1'], 'core': '8.h1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [5, 192, 640, 2, 240, 480], 'label': '960.4023.4.i1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.c1', 'old_label': '4.i1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.i1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113463568
{'ambient': '960.4023', 'aut_centralizer_order': None, 'aut_label': '160.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['32.c1', '80.b1', '80.c1', '80.d1', '80.i1', '80.j1'], 'contains': ['320.a1', '480.c1'], 'core': '160.c1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [2, 640], 'label': '960.4023.160.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '160.c1', 'normal_contained_in': ['32.c1', '80.b1', '80.c1', '80.d1'], 'normal_contains': ['320.a1', '480.c1'], 'normalizer': '1.a1', 'old_label': '160.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '160.c1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113463569
{'ambient': '960.4023', 'aut_centralizer_order': None, 'aut_label': '160.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['32.d1', '80.b1', '80.c1', '80.e1'], 'contains': ['320.a1', '480.d1'], 'core': '160.d1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [10, 640], 'label': '960.4023.160.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '160.d1', 'normal_contained_in': ['32.d1', '80.b1', '80.c1', '80.e1'], 'normal_contains': ['320.a1', '480.d1'], 'normalizer': '1.a1', 'old_label': '160.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '160.d1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113463570
{'ambient': '960.4023', 'aut_centralizer_order': None, 'aut_label': '160.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.e1', '80.a1', '80.d1', '80.e1', '80.f1'], 'contains': ['320.a1', '480.e1'], 'core': '160.e1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [480, 640], 'label': '960.4023.160.e1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '160.e1', 'normal_contained_in': ['32.e1', '80.a1', '80.d1', '80.e1', '80.f1'], 'normal_contains': ['320.a1', '480.e1'], 'normalizer': '1.a1', 'old_label': '160.e1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '160.e1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113463571
{'ambient': '960.4023', 'aut_centralizer_order': None, 'aut_label': '192.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1', 'complements': ['5.a1'], 'conjugacy_class_count': 1, 'contained_in': ['64.a1', '96.a1', '96.b1', '96.c1', '96.d1', '96.e1'], 'contains': ['960.a1'], 'core': '192.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [192], 'label': '960.4023.192.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '192.a1', 'normal_contained_in': ['64.a1', '96.a1', '96.b1', '96.c1', '96.d1', '96.e1'], 'normal_contains': ['960.a1'], 'normalizer': '1.a1', 'old_label': '192.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113463572
{'ambient': '960.4023', 'aut_centralizer_order': None, 'aut_label': '240.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['48.a1', '80.a1', '120.a1', '120.b1', '120.f1', '120.g1'], 'contains': ['480.a1', '480.b1', '480.e1'], 'core': '240.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8, 480], 'label': '960.4023.240.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '240.a1', 'normal_contained_in': ['48.a1', '80.a1', '120.a1', '120.b1'], 'normal_contains': ['480.a1', '480.b1', '480.e1'], 'normalizer': '1.a1', 'old_label': '240.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '240.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113463573
{'ambient': '960.4023', 'aut_centralizer_order': None, 'aut_label': '240.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['48.b1', '80.b1', '120.a1', '120.c1', '120.h1', '120.i1'], 'contains': ['480.a1', '480.c1', '480.d1'], 'core': '240.b1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [2, 8], 'label': '960.4023.240.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '240.b1', 'normal_contained_in': ['48.b1', '80.b1', '120.a1', '120.c1'], 'normal_contains': ['480.a1', '480.c1', '480.d1'], 'normalizer': '1.a1', 'old_label': '240.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '240.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113463574
{'ambient': '960.4023', 'aut_centralizer_order': None, 'aut_label': '240.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['48.d1', '80.c1', '120.a1', '120.j1', '120.k1', '120.l1'], 'contains': ['480.b1', '480.c1', '480.d1'], 'core': '240.c1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [2, 488], 'label': '960.4023.240.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '240.c1', 'normal_contained_in': ['48.d1', '80.c1', '120.a1'], 'normal_contains': ['480.b1', '480.c1', '480.d1'], 'normalizer': '1.a1', 'old_label': '240.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '240.c1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113463575
{'ambient': '960.4023', 'aut_centralizer_order': None, 'aut_label': '240.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['48.e1', '80.d1', '120.a1', '120.d1', '120.m1', '120.n1'], 'contains': ['480.c1', '480.e1'], 'core': '240.d1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [2, 480], 'label': '960.4023.240.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '240.d1', 'normal_contained_in': ['48.e1', '80.d1', '120.a1', '120.d1'], 'normal_contains': ['480.c1', '480.e1'], 'normalizer': '1.a1', 'old_label': '240.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '240.d1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113463576
{'ambient': '960.4023', 'aut_centralizer_order': None, 'aut_label': '240.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['48.f1', '80.e1', '120.a1', '120.e1'], 'contains': ['480.d1', '480.e1'], 'core': '240.e1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [10, 480], 'label': '960.4023.240.e1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '240.e1', 'normal_contained_in': ['48.f1', '80.e1', '120.a1', '120.e1'], 'normal_contains': ['480.d1', '480.e1'], 'normalizer': '1.a1', 'old_label': '240.e1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '240.e1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113463577
{'ambient': '960.4023', 'aut_centralizer_order': None, 'aut_label': '240.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': ['4.g1'], 'conjugacy_class_count': 4, 'contained_in': ['48.g1', '80.f1', '120.b1', '120.d1', '120.e1'], 'contains': ['480.e1'], 'core': '240.f1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [720], 'label': '960.4023.240.f1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '240.f1', 'normal_contained_in': ['48.g1', '80.f1', '120.b1', '120.d1', '120.e1'], 'normal_contains': ['480.e1'], 'normalizer': '1.a1', 'old_label': '240.f1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '240.f1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113463578
{'ambient': '960.4023', 'aut_centralizer_order': None, 'aut_label': '5.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1.a1'], 'contains': ['10.a1', '10.b1', '10.c1', '10.d1', '10.e1', '15.a1'], 'core': '10.a1', 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [1, 8, 2, 4, 480, 240, 640], 'label': '960.4023.5.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '5.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113463579
{'ambient': '960.4023', 'aut_centralizer_order': None, 'aut_label': '240.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '10.b1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['48.c1', '80.g1', '120.f1', '120.h1'], 'contains': ['480.a1'], 'core': '480.a1', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [4], 'label': '960.4023.240.g1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '240.g1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '240.g1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113463580
{'ambient': '960.4023', 'aut_centralizer_order': None, 'aut_label': '240.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '10.b1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.h1', '80.h1', '120.g1', '120.k1'], 'contains': ['480.b1'], 'core': '480.b1', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [148], 'label': '960.4023.240.h1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.b1', 'old_label': '240.h1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '240.h1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113463581
{'ambient': '960.4023', 'aut_centralizer_order': None, 'aut_label': '240.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['48.i1', '80.i1', '120.c1', '120.j1', '120.m1'], 'contains': ['480.c1'], 'core': '480.c1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [1], 'label': '960.4023.240.i1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '120.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '240.i1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '240.i1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113463582
{'ambient': '960.4023', 'aut_centralizer_order': None, 'aut_label': '240.j1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '10.c1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['48.j1', '80.j1', '120.i1', '120.l1', '120.n1'], 'contains': ['480.c1'], 'core': '480.c1', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [5], 'label': '960.4023.240.j1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.g1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.c1', 'old_label': '240.j1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '240.j1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113463583
{'ambient': '960.4023', 'aut_centralizer_order': None, 'aut_label': '320.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': ['3.a1'], 'conjugacy_class_count': 1, 'contained_in': ['64.a1', '160.a1', '160.b1', '160.c1', '160.d1', '160.e1'], 'contains': ['960.a1'], 'core': '320.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [640], 'label': '960.4023.320.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '320.a1', 'normal_contained_in': ['64.a1', '160.a1', '160.b1', '160.c1', '160.d1', '160.e1'], 'normal_contains': ['960.a1'], 'normalizer': '1.a1', 'old_label': '320.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '320.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113463584
{'ambient': '960.4023', 'aut_centralizer_order': None, 'aut_label': '480.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['96.a1', '160.a1', '240.a1', '240.b1', '240.g1'], 'contains': ['960.a1'], 'core': '480.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8], 'label': '960.4023.480.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '480.a1', 'normal_contained_in': ['96.a1', '160.a1', '240.a1', '240.b1'], 'normal_contains': ['960.a1'], 'normalizer': '1.a1', 'old_label': '480.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '480.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113463585
{'ambient': '960.4023', 'aut_centralizer_order': None, 'aut_label': '480.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['96.b1', '160.b1', '240.a1', '240.c1', '240.h1'], 'contains': ['960.a1'], 'core': '480.b1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [488], 'label': '960.4023.480.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '480.b1', 'normal_contained_in': ['96.b1', '160.b1', '240.a1', '240.c1'], 'normal_contains': ['960.a1'], 'normalizer': '1.a1', 'old_label': '480.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '480.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113463586
{'ambient': '960.4023', 'aut_centralizer_order': None, 'aut_label': '480.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['96.c1', '160.c1', '240.b1', '240.c1', '240.d1', '240.i1', '240.j1'], 'contains': ['960.a1'], 'core': '480.c1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [2], 'label': '960.4023.480.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '480.c1', 'normal_contained_in': ['96.c1', '160.c1', '240.b1', '240.c1', '240.d1'], 'normal_contains': ['960.a1'], 'normalizer': '1.a1', 'old_label': '480.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '480.c1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113463587
{'ambient': '960.4023', 'aut_centralizer_order': None, 'aut_label': '480.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['96.d1', '160.d1', '240.b1', '240.c1', '240.e1'], 'contains': ['960.a1'], 'core': '480.d1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [10], 'label': '960.4023.480.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '480.d1', 'normal_contained_in': ['96.d1', '160.d1', '240.b1', '240.c1', '240.e1'], 'normal_contains': ['960.a1'], 'normalizer': '1.a1', 'old_label': '480.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '480.d1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113463588
{'ambient': '960.4023', 'aut_centralizer_order': None, 'aut_label': '480.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['96.e1', '160.e1', '240.a1', '240.d1', '240.e1', '240.f1'], 'contains': ['960.a1'], 'core': '480.e1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [480], 'label': '960.4023.480.e1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '480.e1', 'normal_contained_in': ['96.e1', '160.e1', '240.a1', '240.d1', '240.e1', '240.f1'], 'normal_contains': ['960.a1'], 'normalizer': '1.a1', 'old_label': '480.e1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '480.e1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113463589
{'ambient': '960.4023', 'aut_centralizer_order': None, 'aut_label': '6.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1', '3.a1'], 'contains': ['12.a1', '12.b1', '12.h1', '30.a1'], 'core': '6.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1, 480, 720, 192, 8, 2], 'label': '960.4023.6.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': ['2.a1', '3.a1'], 'normal_contains': ['12.a1', '12.b1', '30.a1'], 'normalizer': '1.a1', 'old_label': '6.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113463590
{'ambient': '960.4023', 'aut_centralizer_order': None, 'aut_label': '960.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': ['1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['192.a1', '320.a1', '480.a1', '480.b1', '480.c1', '480.d1', '480.e1'], 'contains': [], 'core': '960.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [], 'label': '960.4023.960.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '960.a1', 'normal_contained_in': ['192.a1', '320.a1', '480.a1', '480.b1', '480.c1', '480.d1', '480.e1'], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '960.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '960.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113463591
{'ambient': '960.4023', 'aut_centralizer_order': None, 'aut_label': '6.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.b1', '3.a1'], 'contains': ['12.a1', '12.c1', '12.d1', '12.f1', '30.b1'], 'core': '6.b1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [2, 192, 720, 8, 4, 480], 'label': '960.4023.6.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.b1', 'normal_contained_in': ['2.b1', '3.a1'], 'normal_contains': ['12.a1', '12.c1', '12.d1', '12.f1'], 'normalizer': '1.a1', 'old_label': '6.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113463592
{'ambient': '960.4023', 'aut_centralizer_order': None, 'aut_label': '2.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['1.a1'], 'contains': ['4.a1', '4.b1', '4.h1', '6.a1', '10.a1'], 'core': '2.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1, 2, 240, 640, 8, 480, 192], 'label': '960.4023.2.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.a1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['4.a1', '4.b1', '6.a1', '10.a1'], 'normalizer': '1.a1', 'old_label': '2.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113463593
{'ambient': '960.4023', 'aut_centralizer_order': None, 'aut_label': '6.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.c1', '3.a1'], 'contains': ['12.a1', '12.e1', '12.i1', '30.c1'], 'core': '6.c1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [5, 192, 720, 2, 8, 480], 'label': '960.4023.6.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.c1', 'normal_contained_in': ['2.c1', '3.a1'], 'normal_contains': ['12.a1', '12.e1'], 'normalizer': '1.a1', 'old_label': '6.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.c1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113463594
{'ambient': '960.4023', 'aut_centralizer_order': None, 'aut_label': '6.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['2.d1', '3.a1'], 'contains': ['12.b1', '12.c1', '12.e1', '12.g1', '30.d1'], 'core': '6.d1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1, 192, 480, 2, 4, 8], 'label': '960.4023.6.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.d1', 'normal_contained_in': ['2.d1', '3.a1'], 'normal_contains': ['12.b1', '12.c1', '12.e1', '12.g1'], 'normalizer': '1.a1', 'old_label': '6.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.d1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113463595
{'ambient': '960.4023', 'aut_centralizer_order': None, 'aut_label': '6.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['2.e1', '3.a1'], 'contains': ['12.b1', '12.d1', '12.e1', '30.e1'], 'core': '6.e1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1, 192, 2, 8, 148, 480], 'label': '960.4023.6.e1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.e1', 'normal_contained_in': ['2.e1', '3.a1'], 'normal_contains': ['12.b1', '12.d1', '12.e1'], 'normalizer': '1.a1', 'old_label': '6.e1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.e1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113463596
{'ambient': '960.4023', 'aut_centralizer_order': None, 'aut_label': '8.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1', '4.b1', '4.c1', '4.d1', '4.e1'], 'contains': ['16.a1', '16.b1', '16.d1', '16.e1', '16.f1', '24.a1', '40.a1'], 'core': '8.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [2, 480, 640, 8, 192], 'label': '960.4023.8.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.a1', 'normal_contained_in': ['4.a1', '4.b1', '4.c1', '4.d1', '4.e1'], 'normal_contains': ['16.a1', '16.b1', '16.d1', '16.e1', '16.f1', '24.a1', '40.a1'], 'normalizer': '1.a1', 'old_label': '8.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113463597
{'ambient': '960.4023', 'aut_centralizer_order': None, 'aut_label': '8.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['4.a1', '4.f1'], 'contains': ['16.a1', '16.g1', '24.b1', '40.b1'], 'core': '8.b1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [8, 640, 192, 240, 480], 'label': '960.4023.8.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.b1', 'normal_contained_in': ['4.a1', '4.f1'], 'normal_contains': ['16.a1', '16.g1', '24.b1', '40.b1'], 'normalizer': '1.a1', 'old_label': '8.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113463598
{'ambient': '960.4023', 'aut_centralizer_order': None, 'aut_label': '8.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['4.c1', '4.f1'], 'contains': ['16.a1', '16.c1', '24.c1', '40.f1'], 'core': '8.c1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [4, 640, 8, 480, 192], 'label': '960.4023.8.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.c1', 'normal_contained_in': ['4.c1', '4.f1'], 'normal_contains': ['16.a1', '16.c1', '24.c1'], 'normalizer': '1.a1', 'old_label': '8.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.c1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113463599
{'ambient': '960.4023', 'aut_centralizer_order': None, 'aut_label': '8.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['4.d1', '4.f1'], 'contains': ['16.a1', '16.h1', '24.d1', '40.g1'], 'core': '8.d1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [636, 640, 488, 480, 192], 'label': '960.4023.8.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.d1', 'normal_contained_in': ['4.d1', '4.f1'], 'normal_contains': ['16.a1', '24.d1'], 'normalizer': '1.a1', 'old_label': '8.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.d1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113463600
{'ambient': '960.4023', 'aut_centralizer_order': None, 'aut_label': '8.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 4, 'contained_in': ['4.b1', '4.g1'], 'contains': ['16.b1', '16.i1', '24.e1', '40.c1'], 'core': '8.e1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [1, 640, 192, 8, 2], 'label': '960.4023.8.e1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.e1', 'normal_contained_in': ['4.b1', '4.g1'], 'normal_contains': ['16.b1', '24.e1', '40.c1'], 'normalizer': '1.a1', 'old_label': '8.e1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.e1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113463601
{'ambient': '960.4023', 'aut_centralizer_order': None, 'aut_label': '8.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20.a1', 'complements': [], 'conjugacy_class_count': 4, 'contained_in': ['4.c1', '4.g1'], 'contains': ['16.b1', '16.c1', '24.f1', '40.h1'], 'core': '8.f1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [2, 640, 8, 4, 192], 'label': '960.4023.8.f1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.f1', 'normal_contained_in': ['4.c1', '4.g1'], 'normal_contains': ['16.b1', '16.c1', '24.f1'], 'normalizer': '1.a1', 'old_label': '8.f1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.f1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113463602
{'ambient': '960.4023', 'aut_centralizer_order': None, 'aut_label': '8.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20.a1', 'complements': [], 'conjugacy_class_count': 4, 'contained_in': ['4.e1', '4.g1'], 'contains': ['16.b1', '16.j1', '24.g1', '40.i1'], 'core': '8.g1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [5, 640, 2, 8, 192], 'label': '960.4023.8.g1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.g1', 'normal_contained_in': ['4.e1', '4.g1'], 'normal_contains': ['16.b1', '24.g1'], 'normalizer': '1.a1', 'old_label': '8.g1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.g1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113463603
{'ambient': '960.4023', 'aut_centralizer_order': None, 'aut_label': '2.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['1.a1'], 'contains': ['4.a1', '4.c1', '4.d1', '4.f1', '6.b1', '10.b1'], 'core': '2.b1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [2, 480, 240, 640, 4, 192, 8], 'label': '960.4023.2.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['4.a1', '4.c1', '4.d1', '4.f1', '6.b1'], 'normalizer': '1.a1', 'old_label': '2.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113463604
{'ambient': '960.4023', 'aut_centralizer_order': None, 'aut_label': '8.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['4.a1', '4.h1', '4.i1'], 'contains': ['16.e1', '16.g1', '24.h1', '40.d1'], 'core': '8.h1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [2, 640, 192, 240, 480], 'label': '960.4023.8.h1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1', 'normal_contained_in': ['4.a1'], 'normal_contains': ['16.e1', '16.g1', '24.h1', '40.d1'], 'normalizer': '1.a1', 'old_label': '8.h1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.h1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113463605
{'ambient': '960.4023', 'aut_centralizer_order': None, 'aut_label': '8.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['4.a1'], 'contains': ['16.f1', '16.g1', '24.i1', '40.e1'], 'core': '8.i1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [10, 640, 192, 248, 480], 'label': '960.4023.8.i1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.i1', 'normal_contained_in': ['4.a1'], 'normal_contains': ['16.f1', '16.g1', '24.i1', '40.e1'], 'normalizer': '1.a1', 'old_label': '8.i1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.i1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113463606
{'ambient': '960.4023', 'aut_centralizer_order': None, 'aut_label': '8.j1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['4.b1'], 'contains': ['16.d1', '16.i1', '24.j1', '40.j1'], 'core': '16.d1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [9, 640, 192, 488, 2], 'label': '960.4023.8.j1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '8.j1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.j1', 'subgroup_fusion': None, 'weyl_group': None}
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id: 113463607
{'ambient': '960.4023', 'aut_centralizer_order': None, 'aut_label': '8.k1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['4.d1'], 'contains': ['16.d1', '16.h1', '24.k1', '40.k1'], 'core': '16.d1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [2, 640, 488, 636, 192], 'label': '960.4023.8.k1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1', 'old_label': '8.k1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.k1', 'subgroup_fusion': None, 'weyl_group': None}
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id: 113463608
{'ambient': '960.4023', 'aut_centralizer_order': None, 'aut_label': '8.l1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['4.e1'], 'contains': ['16.d1', '16.j1', '24.l1', '40.l1'], 'core': '16.d1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [13, 640, 2, 488, 192], 'label': '960.4023.8.l1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.c1', 'old_label': '8.l1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.l1', 'subgroup_fusion': None, 'weyl_group': None}
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id: 113463609
{'ambient': '960.4023', 'aut_centralizer_order': None, 'aut_label': '8.m1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['4.b1', '4.h1'], 'contains': ['16.e1', '16.i1', '24.m1', '40.m1'], 'core': '16.e1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [1, 640, 192, 480, 2], 'label': '960.4023.8.m1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '8.m1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.m1', 'subgroup_fusion': None, 'weyl_group': None}
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id: 113463611
{'ambient': '960.4023', 'aut_centralizer_order': None, 'aut_label': '10.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1', '5.a1'], 'contains': ['20.a1', '20.b1', '20.h1', '30.a1'], 'core': '10.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1, 480, 2, 8, 240, 640], 'label': '960.4023.10.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '10.a1', 'normal_contained_in': ['2.a1'], 'normal_contains': ['20.a1', '20.b1', '30.a1'], 'normalizer': '1.a1', 'old_label': '10.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10.a1', 'subgroup_fusion': None, 'weyl_group': None}
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id: 113463612
{'ambient': '960.4023', 'aut_centralizer_order': None, 'aut_label': '10.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '10.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.b1', '5.a1'], 'contains': ['20.a1', '20.c1', '20.d1', '20.f1', '30.b1'], 'core': '20.a1', 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [2, 480, 8, 4, 240, 640], 'label': '960.4023.10.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '10.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10.b1', 'subgroup_fusion': None, 'weyl_group': None}
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id: 113463613
{'ambient': '960.4023', 'aut_centralizer_order': None, 'aut_label': '10.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '10.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.c1', '5.a1'], 'contains': ['20.a1', '20.e1', '20.i1', '30.c1'], 'core': '20.a1', 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [5, 480, 2, 8, 240, 640], 'label': '960.4023.10.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '10.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10.c1', 'subgroup_fusion': None, 'weyl_group': None}
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id: 113463614
{'ambient': '960.4023', 'aut_centralizer_order': None, 'aut_label': '2.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['1.a1'], 'contains': ['4.a1', '4.e1', '4.i1', '6.c1', '10.c1'], 'core': '2.c1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [5, 480, 240, 640, 8, 192, 2], 'label': '960.4023.2.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['4.a1', '4.e1', '6.c1'], 'normalizer': '1.a1', 'old_label': '2.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.c1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113463615
{'ambient': '960.4023', 'aut_centralizer_order': None, 'aut_label': '10.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['2.d1', '5.a1'], 'contains': ['20.b1', '20.c1', '20.e1', '20.g1', '30.d1'], 'core': '20.b1', 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [1, 8, 2, 4, 480, 640], 'label': '960.4023.10.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '10.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10.d1', 'subgroup_fusion': None, 'weyl_group': None}
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id: 113463616
{'ambient': '960.4023', 'aut_centralizer_order': None, 'aut_label': '10.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['2.e1', '5.a1'], 'contains': ['20.b1', '20.d1', '20.e1', '30.e1'], 'core': '20.b1', 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [1, 480, 8, 636, 640, 2], 'label': '960.4023.10.e1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '10.e1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10.e1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113463617
{'ambient': '960.4023', 'aut_centralizer_order': None, 'aut_label': '12.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1', '6.a1', '6.b1', '6.c1'], 'contains': ['24.a1', '24.b1', '24.h1', '24.i1', '60.a1'], 'core': '12.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [2, 720, 192, 8, 480], 'label': '960.4023.12.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.a1', 'normal_contained_in': ['4.a1', '6.a1', '6.b1', '6.c1'], 'normal_contains': ['24.a1', '24.b1', '24.h1', '24.i1', '60.a1'], 'normalizer': '1.a1', 'old_label': '12.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.a1', 'subgroup_fusion': None, 'weyl_group': None}
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id: 113463618
{'ambient': '960.4023', 'aut_centralizer_order': None, 'aut_label': '12.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['4.b1', '6.a1', '6.d1', '6.e1'], 'contains': ['24.a1', '24.e1', '24.j1', '24.m1', '60.b1'], 'core': '12.b1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1, 480, 192, 8, 2], 'label': '960.4023.12.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.b1', 'normal_contained_in': ['4.b1', '6.a1', '6.d1', '6.e1'], 'normal_contains': ['24.a1', '24.e1', '60.b1'], 'normalizer': '1.a1', 'old_label': '12.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.b1', 'subgroup_fusion': None, 'weyl_group': None}
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id: 113463619
{'ambient': '960.4023', 'aut_centralizer_order': None, 'aut_label': '12.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.c1', '6.b1', '6.d1'], 'contains': ['24.a1', '24.c1', '24.f1', '60.c1'], 'core': '12.c1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [2, 480, 8, 4, 192], 'label': '960.4023.12.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.c1', 'normal_contained_in': ['4.c1', '6.b1', '6.d1'], 'normal_contains': ['24.a1', '24.c1', '24.f1'], 'normalizer': '1.a1', 'old_label': '12.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.c1', 'subgroup_fusion': None, 'weyl_group': None}
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id: 113463620
{'ambient': '960.4023', 'aut_centralizer_order': None, 'aut_label': '12.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.d1', '6.b1', '6.e1'], 'contains': ['24.a1', '24.d1', '24.k1', '60.d1'], 'core': '12.d1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [2, 480, 488, 148, 192], 'label': '960.4023.12.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.d1', 'normal_contained_in': ['4.d1', '6.b1', '6.e1'], 'normal_contains': ['24.a1', '24.d1'], 'normalizer': '1.a1', 'old_label': '12.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.d1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113463621
{'ambient': '960.4023', 'aut_centralizer_order': None, 'aut_label': '12.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['4.e1', '6.c1', '6.d1', '6.e1'], 'contains': ['24.a1', '24.g1', '24.l1', '24.n1', '60.e1'], 'core': '12.e1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [5, 480, 2, 8, 192], 'label': '960.4023.12.e1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.e1', 'normal_contained_in': ['4.e1', '6.c1', '6.d1', '6.e1'], 'normal_contains': ['24.a1', '24.g1'], 'normalizer': '1.a1', 'old_label': '12.e1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.e1', 'subgroup_fusion': None, 'weyl_group': None}
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id: 113463622
{'ambient': '960.4023', 'aut_centralizer_order': None, 'aut_label': '12.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20.a1', 'complements': ['80.i1', '80.j1'], 'conjugacy_class_count': 4, 'contained_in': ['4.f1', '6.b1'], 'contains': ['24.b1', '24.c1', '24.d1', '60.f1'], 'core': '12.f1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [4, 8, 480, 720, 192], 'label': '960.4023.12.f1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.f1', 'normal_contained_in': ['4.f1', '6.b1'], 'normal_contains': ['24.b1', '24.c1', '24.d1'], 'normalizer': '1.a1', 'old_label': '12.f1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.f1', 'subgroup_fusion': None, 'weyl_group': None}
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id: 113463623
{'ambient': '960.4023', 'aut_centralizer_order': None, 'aut_label': '12.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20.a1', 'complements': ['80.f1', '80.h1', '80.i1', '80.j1'], 'conjugacy_class_count': 8, 'contained_in': ['4.g1', '6.d1'], 'contains': ['24.e1', '24.f1', '24.g1', '60.g1'], 'core': '12.g1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [1, 2, 8, 4, 192], 'label': '960.4023.12.g1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.g1', 'normal_contained_in': ['4.g1', '6.d1'], 'normal_contains': ['24.e1', '24.f1', '24.g1'], 'normalizer': '1.a1', 'old_label': '12.g1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.g1', 'subgroup_fusion': None, 'weyl_group': None}
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id: 113463624
{'ambient': '960.4023', 'aut_centralizer_order': None, 'aut_label': '12.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['4.h1', '6.a1'], 'contains': ['24.h1', '24.m1', '60.h1'], 'core': '24.h1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [1, 192, 2, 720, 480], 'label': '960.4023.12.h1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '12.h1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.h1', 'subgroup_fusion': None, 'weyl_group': None}
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id: 113463625
{'ambient': '960.4023', 'aut_centralizer_order': None, 'aut_label': '2.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['1.a1'], 'contains': ['4.b1', '4.c1', '4.e1', '4.g1', '6.d1', '10.d1'], 'core': '2.d1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1, 8, 480, 640, 4, 192, 2], 'label': '960.4023.2.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.d1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['4.b1', '4.c1', '4.e1', '4.g1', '6.d1'], 'normalizer': '1.a1', 'old_label': '2.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.d1', 'subgroup_fusion': None, 'weyl_group': None}
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id: 113463626
{'ambient': '960.4023', 'aut_centralizer_order': None, 'aut_label': '12.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['4.i1', '6.c1'], 'contains': ['24.h1', '24.n1', '60.i1'], 'core': '24.h1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [5, 2, 480, 720, 192], 'label': '960.4023.12.i1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.c1', 'old_label': '12.i1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.i1', 'subgroup_fusion': None, 'weyl_group': None}
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id: 113463627
{'ambient': '960.4023', 'aut_centralizer_order': None, 'aut_label': '15.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3.a1', '5.a1'], 'contains': ['30.a1', '30.b1', '30.c1', '30.d1', '30.e1'], 'core': '30.a1', 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [1, 4, 720], 'label': '960.4023.15.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '15.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '15.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113463628
{'ambient': '960.4023', 'aut_centralizer_order': None, 'aut_label': '16.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1', '8.b1', '8.c1', '8.d1'], 'contains': ['32.a1', '32.b1', '32.e1', '48.a1', '80.a1'], 'core': '16.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8, 640, 192, 480], 'label': '960.4023.16.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.a1', 'normal_contained_in': ['8.a1', '8.b1', '8.c1', '8.d1'], 'normal_contains': ['32.a1', '32.b1', '32.e1', '48.a1', '80.a1'], 'normalizer': '1.a1', 'old_label': '16.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113463629
{'ambient': '960.4023', 'aut_centralizer_order': None, 'aut_label': '16.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['8.a1', '8.e1', '8.f1', '8.g1'], 'contains': ['32.a1', '32.c1', '32.d1', '48.b1', '80.b1'], 'core': '16.b1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [2, 640, 192, 8], 'label': '960.4023.16.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.b1', 'normal_contained_in': ['8.a1', '8.e1', '8.f1', '8.g1'], 'normal_contains': ['32.a1', '32.c1', '32.d1', '48.b1', '80.b1'], 'normalizer': '1.a1', 'old_label': '16.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113463630
{'ambient': '960.4023', 'aut_centralizer_order': None, 'aut_label': '16.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20.a1', 'complements': ['60.h1', '60.i1'], 'conjugacy_class_count': 4, 'contained_in': ['8.c1', '8.f1'], 'contains': ['32.a1', '48.c1', '80.g1'], 'core': '16.c1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [4, 8, 192, 640], 'label': '960.4023.16.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.c1', 'normal_contained_in': ['8.c1', '8.f1'], 'normal_contains': ['32.a1', '48.c1'], 'normalizer': '1.a1', 'old_label': '16.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.c1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113463631
{'ambient': '960.4023', 'aut_centralizer_order': None, 'aut_label': '16.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['8.a1', '8.j1', '8.k1', '8.l1'], 'contains': ['32.b1', '32.c1', '32.d1', '48.d1', '80.c1'], 'core': '16.d1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [10, 640, 192, 488], 'label': '960.4023.16.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.d1', 'normal_contained_in': ['8.a1'], 'normal_contains': ['32.b1', '32.c1', '32.d1', '48.d1', '80.c1'], 'normalizer': '1.a1', 'old_label': '16.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.d1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113463632
{'ambient': '960.4023', 'aut_centralizer_order': None, 'aut_label': '16.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1', '8.h1', '8.m1', '8.n1'], 'contains': ['32.c1', '32.e1', '48.e1', '80.d1'], 'core': '16.e1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [2, 640, 192, 480], 'label': '960.4023.16.e1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.e1', 'normal_contained_in': ['8.a1', '8.h1'], 'normal_contains': ['32.c1', '32.e1', '48.e1', '80.d1'], 'normalizer': '1.a1', 'old_label': '16.e1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.e1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113463633
{'ambient': '960.4023', 'aut_centralizer_order': None, 'aut_label': '16.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1', '8.i1'], 'contains': ['32.d1', '32.e1', '48.f1', '80.e1'], 'core': '16.f1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [10, 640, 192, 480], 'label': '960.4023.16.f1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.f1', 'normal_contained_in': ['8.a1', '8.i1'], 'normal_contains': ['32.d1', '32.e1', '48.f1', '80.e1'], 'normalizer': '1.a1', 'old_label': '16.f1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.f1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113463634
{'ambient': '960.4023', 'aut_centralizer_order': None, 'aut_label': '16.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1', 'complements': ['60.g1'], 'conjugacy_class_count': 4, 'contained_in': ['8.b1', '8.h1', '8.i1'], 'contains': ['32.e1', '48.g1', '80.f1'], 'core': '16.g1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [240, 192, 480, 640], 'label': '960.4023.16.g1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.g1', 'normal_contained_in': ['8.b1', '8.h1', '8.i1'], 'normal_contains': ['32.e1', '48.g1', '80.f1'], 'normalizer': '1.a1', 'old_label': '16.g1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.g1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113463635
{'ambient': '960.4023', 'aut_centralizer_order': None, 'aut_label': '16.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['8.d1', '8.k1'], 'contains': ['32.b1', '48.h1', '80.h1'], 'core': '32.b1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [636, 488, 192, 640], 'label': '960.4023.16.h1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1', 'old_label': '16.h1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.h1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113463636
{'ambient': '960.4023', 'aut_centralizer_order': None, 'aut_label': '2.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['1.a1'], 'contains': ['4.b1', '4.d1', '4.e1', '6.e1', '10.e1'], 'core': '2.e1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1, 480, 640, 2, 636, 192, 8], 'label': '960.4023.2.e1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.e1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['4.b1', '4.d1', '4.e1', '6.e1'], 'normalizer': '1.a1', 'old_label': '2.e1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.e1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113463637
{'ambient': '960.4023', 'aut_centralizer_order': None, 'aut_label': '16.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['8.e1', '8.j1', '8.m1'], 'contains': ['32.c1', '48.i1', '80.i1'], 'core': '32.c1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [1, 192, 2, 640], 'label': '960.4023.16.i1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '16.i1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.i1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113463638
{'ambient': '960.4023', 'aut_centralizer_order': None, 'aut_label': '16.j1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['8.g1', '8.l1', '8.n1'], 'contains': ['32.c1', '48.j1', '80.j1'], 'core': '32.c1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [5, 2, 192, 640], 'label': '960.4023.16.j1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.g1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.c1', 'old_label': '16.j1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.j1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113463639
{'ambient': '960.4023', 'aut_centralizer_order': None, 'aut_label': '20.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1', '10.a1', '10.b1', '10.c1'], 'contains': ['40.a1', '40.b1', '40.d1', '40.e1', '60.a1'], 'core': '20.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [2, 480, 8, 240, 640], 'label': '960.4023.20.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '20.a1', 'normal_contained_in': ['4.a1', '10.a1'], 'normal_contains': ['40.a1', '40.b1', '40.d1', '40.e1', '60.a1'], 'normalizer': '1.a1', 'old_label': '20.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113463640
{'ambient': '960.4023', 'aut_centralizer_order': None, 'aut_label': '20.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['4.b1', '10.a1', '10.d1', '10.e1'], 'contains': ['40.a1', '40.c1', '40.j1', '40.m1', '60.b1'], 'core': '20.b1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1, 2, 8, 480, 640], 'label': '960.4023.20.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '20.b1', 'normal_contained_in': ['4.b1', '10.a1'], 'normal_contains': ['40.a1', '40.c1', '60.b1'], 'normalizer': '1.a1', 'old_label': '20.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113463641
{'ambient': '960.4023', 'aut_centralizer_order': None, 'aut_label': '20.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '10.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.c1', '10.b1', '10.d1'], 'contains': ['40.a1', '40.f1', '40.h1', '60.c1'], 'core': '40.a1', 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [2, 8, 4, 480, 640], 'label': '960.4023.20.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '20.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20.c1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113463642
{'ambient': '960.4023', 'aut_centralizer_order': None, 'aut_label': '20.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '10.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.d1', '10.b1', '10.e1'], 'contains': ['40.a1', '40.g1', '40.k1', '60.d1'], 'core': '40.a1', 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [2, 488, 636, 480, 640], 'label': '960.4023.20.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '20.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20.d1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113463643
{'ambient': '960.4023', 'aut_centralizer_order': None, 'aut_label': '20.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '10.c1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['4.e1', '10.c1', '10.d1', '10.e1'], 'contains': ['40.a1', '40.i1', '40.l1', '40.n1', '60.e1'], 'core': '40.a1', 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [5, 2, 8, 480, 640], 'label': '960.4023.20.e1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '20.e1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20.e1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113463644
{'ambient': '960.4023', 'aut_centralizer_order': None, 'aut_label': '20.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '10.b1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['4.f1', '10.b1'], 'contains': ['40.b1', '40.f1', '40.g1', '60.f1'], 'core': '40.b1', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [4, 480, 240, 640, 8], 'label': '960.4023.20.f1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '20.f1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20.f1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113463645
{'ambient': '960.4023', 'aut_centralizer_order': None, 'aut_label': '20.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['4.g1', '10.d1'], 'contains': ['40.c1', '40.h1', '40.i1', '60.g1'], 'core': '40.c1', 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [1, 8, 4, 640, 2], 'label': '960.4023.20.g1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.g1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '20.g1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20.g1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113463646
{'ambient': '960.4023', 'aut_centralizer_order': None, 'aut_label': '20.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['4.h1', '10.a1'], 'contains': ['40.d1', '40.m1', '60.h1'], 'core': '40.d1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [1, 480, 240, 640, 2], 'label': '960.4023.20.h1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '10.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '20.h1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20.h1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113463647
{'ambient': '960.4023', 'aut_centralizer_order': None, 'aut_label': '3.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20.a1', 'complements': ['320.a1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1'], 'contains': ['6.a1', '6.b1', '6.c1', '6.d1', '6.e1', '15.a1'], 'core': '3.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1, 480, 720, 2, 4, 192, 8], 'label': '960.4023.3.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '3.a1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['6.a1', '6.b1', '6.c1', '6.d1', '6.e1'], 'normalizer': '1.a1', 'old_label': '3.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113463648
{'ambient': '960.4023', 'aut_centralizer_order': None, 'aut_label': '20.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '10.c1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['4.i1', '10.c1'], 'contains': ['40.d1', '40.n1', '60.i1'], 'core': '40.d1', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [5, 480, 240, 640, 2], 'label': '960.4023.20.i1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.c1', 'old_label': '20.i1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20.i1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113463649
{'ambient': '960.4023', 'aut_centralizer_order': None, 'aut_label': '24.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1', '12.a1', '12.b1', '12.c1', '12.d1', '12.e1'], 'contains': ['48.a1', '48.b1', '48.d1', '48.e1', '48.f1', '120.a1'], 'core': '24.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [2, 480, 192, 8], 'label': '960.4023.24.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.a1', 'normal_contained_in': ['8.a1', '12.a1', '12.b1', '12.c1', '12.d1', '12.e1'], 'normal_contains': ['48.a1', '48.b1', '48.d1', '48.e1', '48.f1', '120.a1'], 'normalizer': '1.a1', 'old_label': '24.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113463650
{'ambient': '960.4023', 'aut_centralizer_order': None, 'aut_label': '24.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['8.b1', '12.a1', '12.f1'], 'contains': ['48.a1', '48.g1', '120.b1'], 'core': '24.b1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [8, 192, 480, 720], 'label': '960.4023.24.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.b1', 'normal_contained_in': ['8.b1', '12.a1', '12.f1'], 'normal_contains': ['48.a1', '48.g1', '120.b1'], 'normalizer': '1.a1', 'old_label': '24.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113463651
{'ambient': '960.4023', 'aut_centralizer_order': None, 'aut_label': '24.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['8.c1', '12.c1', '12.f1'], 'contains': ['48.a1', '48.c1', '120.f1'], 'core': '24.c1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [4, 8, 192, 480], 'label': '960.4023.24.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.c1', 'normal_contained_in': ['8.c1', '12.c1', '12.f1'], 'normal_contains': ['48.a1', '48.c1'], 'normalizer': '1.a1', 'old_label': '24.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.c1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113463652
{'ambient': '960.4023', 'aut_centralizer_order': None, 'aut_label': '24.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['8.d1', '12.d1', '12.f1'], 'contains': ['48.a1', '48.h1', '120.g1'], 'core': '24.d1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [148, 488, 192, 480], 'label': '960.4023.24.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.d1', 'normal_contained_in': ['8.d1', '12.d1', '12.f1'], 'normal_contains': ['48.a1'], 'normalizer': '1.a1', 'old_label': '24.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.d1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113463653
{'ambient': '960.4023', 'aut_centralizer_order': None, 'aut_label': '24.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 4, 'contained_in': ['8.e1', '12.b1', '12.g1'], 'contains': ['48.b1', '48.i1', '120.c1'], 'core': '24.e1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [1, 192, 2, 8], 'label': '960.4023.24.e1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.e1', 'normal_contained_in': ['8.e1', '12.b1', '12.g1'], 'normal_contains': ['48.b1', '120.c1'], 'normalizer': '1.a1', 'old_label': '24.e1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.e1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113463654
{'ambient': '960.4023', 'aut_centralizer_order': None, 'aut_label': '24.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20.a1', 'complements': [], 'conjugacy_class_count': 4, 'contained_in': ['8.f1', '12.c1', '12.g1'], 'contains': ['48.b1', '48.c1', '120.h1'], 'core': '24.f1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [2, 8, 192, 4], 'label': '960.4023.24.f1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.f1', 'normal_contained_in': ['8.f1', '12.c1', '12.g1'], 'normal_contains': ['48.b1', '48.c1'], 'normalizer': '1.a1', 'old_label': '24.f1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.f1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113463655
{'ambient': '960.4023', 'aut_centralizer_order': None, 'aut_label': '24.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20.a1', 'complements': [], 'conjugacy_class_count': 4, 'contained_in': ['8.g1', '12.e1', '12.g1'], 'contains': ['48.b1', '48.j1', '120.i1'], 'core': '24.g1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [5, 2, 192, 8], 'label': '960.4023.24.g1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.g1', 'normal_contained_in': ['8.g1', '12.e1', '12.g1'], 'normal_contains': ['48.b1'], 'normalizer': '1.a1', 'old_label': '24.g1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.g1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113463656
{'ambient': '960.4023', 'aut_centralizer_order': None, 'aut_label': '24.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['8.h1', '12.a1', '12.h1', '12.i1'], 'contains': ['48.e1', '48.g1', '120.d1'], 'core': '24.h1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [2, 192, 480, 720], 'label': '960.4023.24.h1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.h1', 'normal_contained_in': ['8.h1', '12.a1'], 'normal_contains': ['48.e1', '48.g1', '120.d1'], 'normalizer': '1.a1', 'old_label': '24.h1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.h1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113463657
{'ambient': '960.4023', 'aut_centralizer_order': None, 'aut_label': '24.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['8.i1', '12.a1'], 'contains': ['48.f1', '48.g1', '120.e1'], 'core': '24.i1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [10, 192, 480, 728], 'label': '960.4023.24.i1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.i1', 'normal_contained_in': ['8.i1', '12.a1'], 'normal_contains': ['48.f1', '48.g1', '120.e1'], 'normalizer': '1.a1', 'old_label': '24.i1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.i1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113463658
{'ambient': '960.4023', 'aut_centralizer_order': None, 'aut_label': '4.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1', '2.b1', '2.c1'], 'contains': ['8.a1', '8.b1', '8.h1', '8.i1', '12.a1', '20.a1'], 'core': '4.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [2, 480, 240, 640, 8, 192], 'label': '960.4023.4.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.a1', 'normal_contained_in': ['2.a1', '2.b1', '2.c1'], 'normal_contains': ['8.a1', '8.b1', '8.h1', '8.i1', '12.a1', '20.a1'], 'normalizer': '1.a1', 'old_label': '4.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113463659
{'ambient': '960.4023', 'aut_centralizer_order': None, 'aut_label': '24.j1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['8.j1', '12.b1'], 'contains': ['48.d1', '48.i1', '120.j1'], 'core': '48.d1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [9, 192, 2, 488], 'label': '960.4023.24.j1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '24.j1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.j1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113463660
{'ambient': '960.4023', 'aut_centralizer_order': None, 'aut_label': '24.k1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['8.k1', '12.d1'], 'contains': ['48.d1', '48.h1', '120.k1'], 'core': '48.d1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [2, 488, 192, 148], 'label': '960.4023.24.k1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1', 'old_label': '24.k1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.k1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113463661
{'ambient': '960.4023', 'aut_centralizer_order': None, 'aut_label': '24.l1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['8.l1', '12.e1'], 'contains': ['48.d1', '48.j1', '120.l1'], 'core': '48.d1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [13, 2, 192, 488], 'label': '960.4023.24.l1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.c1', 'old_label': '24.l1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.l1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113463662
{'ambient': '960.4023', 'aut_centralizer_order': None, 'aut_label': '24.m1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['8.m1', '12.b1', '12.h1'], 'contains': ['48.e1', '48.i1', '120.m1'], 'core': '48.e1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [1, 192, 2, 480], 'label': '960.4023.24.m1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '24.m1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.m1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113463663
{'ambient': '960.4023', 'aut_centralizer_order': None, 'aut_label': '24.n1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['8.n1', '12.e1', '12.i1'], 'contains': ['48.e1', '48.j1', '120.n1'], 'core': '48.e1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [5, 2, 192, 480], 'label': '960.4023.24.n1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.c1', 'old_label': '24.n1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.n1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113463664
{'ambient': '960.4023', 'aut_centralizer_order': None, 'aut_label': '30.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['6.a1', '10.a1', '15.a1'], 'contains': ['60.a1', '60.b1', '60.h1'], 'core': '30.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1, 8, 720], 'label': '960.4023.30.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '30.a1', 'normal_contained_in': ['6.a1', '10.a1'], 'normal_contains': ['60.a1', '60.b1'], 'normalizer': '1.a1', 'old_label': '30.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '30.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113463665
{'ambient': '960.4023', 'aut_centralizer_order': None, 'aut_label': '30.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '10.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.b1', '10.b1', '15.a1'], 'contains': ['60.a1', '60.c1', '60.d1', '60.f1'], 'core': '60.a1', 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [2, 4, 720], 'label': '960.4023.30.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '30.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '30.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113463666
{'ambient': '960.4023', 'aut_centralizer_order': None, 'aut_label': '30.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '10.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.c1', '10.c1', '15.a1'], 'contains': ['60.a1', '60.e1', '60.i1'], 'core': '60.a1', 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [5, 8, 720], 'label': '960.4023.30.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '30.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '30.c1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113463667
{'ambient': '960.4023', 'aut_centralizer_order': None, 'aut_label': '30.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['6.d1', '10.d1', '15.a1'], 'contains': ['60.b1', '60.c1', '60.e1', '60.g1'], 'core': '60.b1', 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [1, 4, 480], 'label': '960.4023.30.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '30.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '30.d1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113463668
{'ambient': '960.4023', 'aut_centralizer_order': None, 'aut_label': '30.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['6.e1', '10.e1', '15.a1'], 'contains': ['60.b1', '60.d1', '60.e1'], 'core': '60.b1', 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [1, 148], 'label': '960.4023.30.e1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '30.e1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '30.e1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113463669
{'ambient': '960.4023', 'aut_centralizer_order': None, 'aut_label': '4.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['2.a1', '2.d1', '2.e1'], 'contains': ['8.a1', '8.e1', '8.j1', '8.m1', '12.b1', '20.b1'], 'core': '4.b1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1, 2, 480, 640, 8, 192], 'label': '960.4023.4.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1', 'normal_contained_in': ['2.a1', '2.d1', '2.e1'], 'normal_contains': ['8.a1', '8.e1', '12.b1', '20.b1'], 'normalizer': '1.a1', 'old_label': '4.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113463670
{'ambient': '960.4023', 'aut_centralizer_order': None, 'aut_label': '32.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.a1', '16.b1', '16.c1'], 'contains': ['64.a1', '96.a1', '160.a1'], 'core': '32.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8, 192, 640], 'label': '960.4023.32.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.a1', 'normal_contained_in': ['16.a1', '16.b1', '16.c1'], 'normal_contains': ['64.a1', '96.a1', '160.a1'], 'normalizer': '1.a1', 'old_label': '32.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113463671
{'ambient': '960.4023', 'aut_centralizer_order': None, 'aut_label': '32.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.a1', '16.d1', '16.h1'], 'contains': ['64.a1', '96.b1', '160.b1'], 'core': '32.b1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [488, 192, 640], 'label': '960.4023.32.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.b1', 'normal_contained_in': ['16.a1', '16.d1'], 'normal_contains': ['64.a1', '96.b1', '160.b1'], 'normalizer': '1.a1', 'old_label': '32.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.b1', 'subgroup_fusion': None, 'weyl_group': None}
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id: 113463672
{'ambient': '960.4023', 'aut_centralizer_order': None, 'aut_label': '32.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['16.b1', '16.d1', '16.e1', '16.i1', '16.j1'], 'contains': ['64.a1', '96.c1', '160.c1'], 'core': '32.c1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [2, 192, 640], 'label': '960.4023.32.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.c1', 'normal_contained_in': ['16.b1', '16.d1', '16.e1'], 'normal_contains': ['64.a1', '96.c1', '160.c1'], 'normalizer': '1.a1', 'old_label': '32.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.c1', 'subgroup_fusion': None, 'weyl_group': None}
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id: 113463673
{'ambient': '960.4023', 'aut_centralizer_order': None, 'aut_label': '32.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['16.b1', '16.d1', '16.f1'], 'contains': ['64.a1', '96.d1', '160.d1'], 'core': '32.d1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [10, 192, 640], 'label': '960.4023.32.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.d1', 'normal_contained_in': ['16.b1', '16.d1', '16.f1'], 'normal_contains': ['64.a1', '96.d1', '160.d1'], 'normalizer': '1.a1', 'old_label': '32.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.d1', 'subgroup_fusion': None, 'weyl_group': None}
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id: 113463674
{'ambient': '960.4023', 'aut_centralizer_order': None, 'aut_label': '32.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.a1', '16.e1', '16.f1', '16.g1'], 'contains': ['64.a1', '96.e1', '160.e1'], 'core': '32.e1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [480, 192, 640], 'label': '960.4023.32.e1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.e1', 'normal_contained_in': ['16.a1', '16.e1', '16.f1', '16.g1'], 'normal_contains': ['64.a1', '96.e1', '160.e1'], 'normalizer': '1.a1', 'old_label': '32.e1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.e1', 'subgroup_fusion': None, 'weyl_group': None}
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id: 113463675
{'ambient': '960.4023', 'aut_centralizer_order': None, 'aut_label': '40.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1', '20.a1', '20.b1', '20.c1', '20.d1', '20.e1'], 'contains': ['80.a1', '80.b1', '80.c1', '80.d1', '80.e1', '120.a1'], 'core': '40.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [2, 8, 480, 640], 'label': '960.4023.40.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '40.a1', 'normal_contained_in': ['8.a1', '20.a1', '20.b1'], 'normal_contains': ['80.a1', '80.b1', '80.c1', '80.d1', '80.e1', '120.a1'], 'normalizer': '1.a1', 'old_label': '40.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.a1', 'subgroup_fusion': None, 'weyl_group': None}
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id: 113463676
{'ambient': '960.4023', 'aut_centralizer_order': None, 'aut_label': '40.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['8.b1', '20.a1', '20.f1'], 'contains': ['80.a1', '80.f1', '120.b1'], 'core': '40.b1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [8, 240, 640, 480], 'label': '960.4023.40.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '40.b1', 'normal_contained_in': ['8.b1', '20.a1'], 'normal_contains': ['80.a1', '80.f1', '120.b1'], 'normalizer': '1.a1', 'old_label': '40.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.b1', 'subgroup_fusion': None, 'weyl_group': None}
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id: 113463677
{'ambient': '960.4023', 'aut_centralizer_order': None, 'aut_label': '40.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 4, 'contained_in': ['8.e1', '20.b1', '20.g1'], 'contains': ['80.b1', '80.i1', '120.c1'], 'core': '40.c1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [1, 8, 640, 2], 'label': '960.4023.40.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '40.c1', 'normal_contained_in': ['8.e1', '20.b1'], 'normal_contains': ['80.b1', '120.c1'], 'normalizer': '1.a1', 'old_label': '40.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.c1', 'subgroup_fusion': None, 'weyl_group': None}
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id: 113463678
{'ambient': '960.4023', 'aut_centralizer_order': None, 'aut_label': '40.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['8.h1', '20.a1', '20.h1', '20.i1'], 'contains': ['80.d1', '80.f1', '120.d1'], 'core': '40.d1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [2, 240, 640, 480], 'label': '960.4023.40.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '40.d1', 'normal_contained_in': ['8.h1', '20.a1'], 'normal_contains': ['80.d1', '80.f1', '120.d1'], 'normalizer': '1.a1', 'old_label': '40.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.d1', 'subgroup_fusion': None, 'weyl_group': None}
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id: 113463679
{'ambient': '960.4023', 'aut_centralizer_order': None, 'aut_label': '40.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['8.i1', '20.a1'], 'contains': ['80.e1', '80.f1', '120.e1'], 'core': '40.e1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [10, 248, 640, 480], 'label': '960.4023.40.e1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '40.e1', 'normal_contained_in': ['8.i1', '20.a1'], 'normal_contains': ['80.e1', '80.f1', '120.e1'], 'normalizer': '1.a1', 'old_label': '40.e1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.e1', 'subgroup_fusion': None, 'weyl_group': None}
