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gps_groups • Show schema
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{'Agroup': False, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '4.2', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 2, 'aut_exponent': 3960, 'aut_gen_orders': [90, 360, 45, 30, 30, 30], 'aut_gens': [[1, 2], [465, 1310], [399, 1466], [417, 1106], [947, 1534], [49, 166], [433, 190]], 'aut_group': None, 'aut_hash': 2750653646408301733, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 190080, 'aut_permdeg': 792, 'aut_perms': 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'aut_phi_ratio': 396.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [3, 2, 1, 1], [4, 2, 1, 1], [4, 396, 2, 1], [6, 2, 1, 1], [8, 2, 2, 1], [9, 2, 3, 1], [11, 2, 5, 1], [12, 2, 2, 1], [18, 2, 3, 1], [22, 2, 5, 1], [24, 2, 4, 1], [33, 2, 10, 1], [36, 2, 6, 1], [44, 2, 10, 1], [66, 2, 10, 1], [72, 2, 12, 1], [88, 2, 20, 1], [99, 2, 30, 1], [132, 2, 20, 1], [198, 2, 30, 1], [264, 2, 40, 1], [396, 2, 60, 1], [792, 2, 120, 1]], 'aut_supersolvable': True, 'aut_tex': 'C_{99}.C_{60}.C_2^5', 'autcent_abelian': True, 'autcent_cyclic': False, 'autcent_exponent': 2, 'autcent_group': '4.2', 'autcent_hash': 2, 'autcent_nilpotent': True, 'autcent_order': 4, 'autcent_solvable': True, 'autcent_split': False, 'autcent_supersolvable': True, 'autcent_tex': 'C_2^2', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 1980, 'autcentquo_group': None, 'autcentquo_hash': 7697546556299087385, 'autcentquo_nilpotent': False, 'autcentquo_order': 47520, 'autcentquo_solvable': True, 'autcentquo_supersolvable': True, 'autcentquo_tex': 'C_{99}.C_{30}.C_2^4', 'cc_stats': [[1, 1, 1], [2, 1, 1], [3, 2, 1], [4, 2, 1], [4, 396, 2], [6, 2, 1], [8, 2, 2], [9, 2, 3], [11, 2, 5], [12, 2, 2], [18, 2, 3], [22, 2, 5], [24, 2, 4], [33, 2, 10], [36, 2, 6], [44, 2, 10], [66, 2, 10], [72, 2, 12], [88, 2, 20], [99, 2, 30], [132, 2, 20], [198, 2, 30], [264, 2, 40], [396, 2, 60], [792, 2, 120]], 'center_label': '2.1', 'center_order': 2, 'central_product': False, 'central_quotient': '792.25', 'commutator_count': 1, 'commutator_label': '396.4', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '2.1', '2.1', '3.1', '3.1', '11.1'], 'composition_length': 7, 'conjugacy_classes_known': True, 'counter': 63, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [], 'direct_product': False, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [3, 2, 1, 1], [4, 2, 1, 1], [4, 396, 1, 2], [6, 2, 1, 1], [8, 2, 2, 1], [9, 2, 3, 1], [11, 2, 5, 1], [12, 2, 2, 1], [18, 2, 3, 1], [22, 2, 5, 1], [24, 2, 4, 1], [33, 2, 10, 1], [36, 2, 6, 1], [44, 2, 10, 1], [66, 2, 10, 1], [72, 2, 12, 1], [88, 2, 20, 1], [99, 2, 30, 1], [132, 2, 20, 1], [198, 2, 30, 1], [264, 2, 40, 1], [396, 2, 60, 1], [792, 2, 120, 1]], 'element_repr_type': 'PC', 'elementary': 1, 'eulerian_function': 3, 'exponent': 792, 'exponents_of_order': [4, 2, 1], 'factors_of_aut_order': [2, 3, 5, 11], 'factors_of_order': [2, 3, 11], 'faithful_reps': [[2, -1, 120]], 'familial': False, 'frattini_label': '12.2', 'frattini_quotient': '132.9', 'hash': 63, 'hyperelementary': 2, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 396, 'inner_gen_orders': [2, 396], 'inner_gens': [[1, 1582], [5, 2]], 'inner_hash': 25, 'inner_nilpotent': False, 'inner_order': 792, 'inner_split': False, 'inner_tex': 'D_{396}', 'inner_used': [1, 2], 'irrC_degree': 2, 'irrQ_degree': 240, 'irrQ_dim': 480, 'irrR_degree': 4, 'irrep_stats': [[1, 4], [2, 395]], 'label': '1584.63', 'linC_count': 120, 'linC_degree': 2, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': 20, 'linQ_degree_count': 4, 'linQ_dim': 24, 'linQ_dim_count': 4, 'linR_count': 120, 'linR_degree': 4, 'maximal_subgroups_known': True, 'metabelian': True, 'metacyclic': True, 'monomial': True, 'name': 'C99:Q16', 'ngens': 7, 'nilpotency_class': -1, 'nilpotent': False, 'normal_counts': [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 25, 'number_characteristic_subgroups': 25, 'number_conjugacy_classes': 399, 'number_divisions': 26, 'number_normal_subgroups': 27, 'number_subgroup_autclasses': 42, 'number_subgroup_classes': 54, 'number_subgroups': 1116, 'old_label': None, 'order': 1584, 'order_factorization_type': 321, 'order_stats': [[1, 1], [2, 1], [3, 2], [4, 794], [6, 2], [8, 4], [9, 6], [11, 10], [12, 4], [18, 6], [22, 10], [24, 8], [33, 20], [36, 12], [44, 20], [66, 20], [72, 24], [88, 40], [99, 60], [132, 40], [198, 60], [264, 80], [396, 120], [792, 240]], 'outer_abelian': True, 'outer_cyclic': False, 'outer_equivalence': False, 'outer_exponent': 30, 'outer_gen_orders': [2, 2, 2, 30], 'outer_gen_pows': [1408, 1408, 0, 330], 'outer_gens': [[1409, 1010], [1409, 398], [1, 218], [551, 914]], 'outer_group': '240.208', 'outer_hash': 208, 'outer_nilpotent': True, 'outer_order': 240, 'outer_permdeg': 16, 'outer_perms': [40279680, 362880, 1307674368000, 6227026593], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'C_2^3\\times C_{30}', 'pc_rank': 2, 'perfect': False, 'permutation_degree': 36, 'pgroup': 0, 'primary_abelian_invariants': [2, 2], 'quasisimple': False, 'rank': 2, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 4], [2, 3], [4, 2], [6, 2], [8, 1], [10, 2], [12, 1], [20, 3], [24, 1], [40, 2], [60, 2], [80, 1], [120, 1], [240, 1]], 'representations': {'PC': {'code': 1905460123151371480922106806095627616277012470000119, 'gens': [1, 2], 'pres': [7, -2, -2, -2, -2, -3, -3, -11, 5544, 22149, 36, 33182, 58, 44131, 80, 54884, 137, 64517, 166, 70566]}, 'Perm': {'d': 36, 'gens': [625224332829451584502386460276253014447, 873160106454638555538585600, 1292478586697946400166937600, 1711998581393250427602124800, 11244897129803496435748641567670272000000, 4364893, 21882783479029951197560798356439040000000]}}, 'schur_multiplier': [], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 2], 'solvability_type': 6, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'C_{99}:Q_{16}', 'transitive_degree': 1584, 'wreath_data': None, 'wreath_product': False}
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gps_conj_classes • Show schema
Hide schema
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id: 121169125
{'aut_label': '1A', 'centralizer': '1.a1.a1', 'counter': 1, 'group_counter': 63, 'group_order': 1584, 'label': '1A', 'order': 1, 'powers': [1, 1, 1, 1], 'representative': 0, 'size': 1}
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id: 121169236
{'aut_label': '2A', 'centralizer': '1.a1.a1', 'counter': 2, 'group_counter': 63, 'group_order': 1584, 'label': '2A', 'order': 2, 'powers': [1, 2, 2, 2], 'representative': 792, 'size': 1}
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id: 121169347
{'aut_label': '3A', 'centralizer': '2.b1.a1', 'counter': 3, 'group_counter': 63, 'group_order': 1584, 'label': '3A', 'order': 3, 'powers': [3, 1, 3, 3], 'representative': 528, 'size': 2}
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id: 121169458
{'aut_label': '4A', 'centralizer': '2.b1.a1', 'counter': 4, 'group_counter': 63, 'group_order': 1584, 'label': '4A', 'order': 4, 'powers': [2, 4, 4, 4], 'representative': 396, 'size': 2}
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id: 121169469
{'aut_label': '4B', 'centralizer': '396.b1.a1', 'counter': 5, 'group_counter': 63, 'group_order': 1584, 'label': '4B', 'order': 4, 'powers': [2, 5, 5, 5], 'representative': 1581, 'size': 396}
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id: 121169480
{'aut_label': '4B', 'centralizer': '396.b1.b1', 'counter': 6, 'group_counter': 63, 'group_order': 1584, 'label': '4C', 'order': 4, 'powers': [2, 6, 6, 6], 'representative': 3, 'size': 396}
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id: 121169491
{'aut_label': '6A', 'centralizer': '2.b1.a1', 'counter': 7, 'group_counter': 63, 'group_order': 1584, 'label': '6A', 'order': 6, 'powers': [3, 2, 7, 7], 'representative': 264, 'size': 2}
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id: 121169502
{'aut_label': '8A1', 'centralizer': '2.b1.a1', 'counter': 8, 'group_counter': 63, 'group_order': 1584, 'label': '8A1', 'order': 8, 'powers': [4, 9, 9, 9], 'representative': 198, 'size': 2}
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id: 121169513
{'aut_label': '8A1', 'centralizer': '2.b1.a1', 'counter': 9, 'group_counter': 63, 'group_order': 1584, 'label': '8A3', 'order': 8, 'powers': [4, 8, 8, 8], 'representative': 594, 'size': 2}
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id: 121169126
{'aut_label': '9A1', 'centralizer': '2.b1.a1', 'counter': 10, 'group_counter': 63, 'group_order': 1584, 'label': '9A1', 'order': 9, 'powers': [11, 3, 12, 11], 'representative': 176, 'size': 2}
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id: 121169137
{'aut_label': '9A1', 'centralizer': '2.b1.a1', 'counter': 11, 'group_counter': 63, 'group_order': 1584, 'label': '9A2', 'order': 9, 'powers': [12, 3, 10, 12], 'representative': 352, 'size': 2}
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id: 121169148
{'aut_label': '9A1', 'centralizer': '2.b1.a1', 'counter': 12, 'group_counter': 63, 'group_order': 1584, 'label': '9A4', 'order': 9, 'powers': [10, 3, 11, 10], 'representative': 704, 'size': 2}
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id: 121169159
{'aut_label': '11A1', 'centralizer': '2.b1.a1', 'counter': 13, 'group_counter': 63, 'group_order': 1584, 'label': '11A1', 'order': 11, 'powers': [14, 15, 17, 1], 'representative': 144, 'size': 2}
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id: 121169170
{'aut_label': '11A1', 'centralizer': '2.b1.a1', 'counter': 14, 'group_counter': 63, 'group_order': 1584, 'label': '11A2', 'order': 11, 'powers': [16, 17, 13, 1], 'representative': 288, 'size': 2}
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id: 121169181
{'aut_label': '11A1', 'centralizer': '2.b1.a1', 'counter': 15, 'group_counter': 63, 'group_order': 1584, 'label': '11A3', 'order': 11, 'powers': [17, 14, 16, 1], 'representative': 432, 'size': 2}
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id: 121169192
{'aut_label': '11A1', 'centralizer': '2.b1.a1', 'counter': 16, 'group_counter': 63, 'group_order': 1584, 'label': '11A4', 'order': 11, 'powers': [15, 13, 14, 1], 'representative': 576, 'size': 2}
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id: 121169203
{'aut_label': '11A1', 'centralizer': '2.b1.a1', 'counter': 17, 'group_counter': 63, 'group_order': 1584, 'label': '11A5', 'order': 11, 'powers': [13, 16, 15, 1], 'representative': 720, 'size': 2}
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id: 121169214
{'aut_label': '12A1', 'centralizer': '2.b1.a1', 'counter': 18, 'group_counter': 63, 'group_order': 1584, 'label': '12A1', 'order': 12, 'powers': [7, 4, 19, 18], 'representative': 132, 'size': 2}
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id: 121169225
{'aut_label': '12A1', 'centralizer': '2.b1.a1', 'counter': 19, 'group_counter': 63, 'group_order': 1584, 'label': '12A5', 'order': 12, 'powers': [7, 4, 18, 19], 'representative': 660, 'size': 2}
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id: 121169237
{'aut_label': '18A1', 'centralizer': '2.b1.a1', 'counter': 20, 'group_counter': 63, 'group_order': 1584, 'label': '18A1', 'order': 18, 'powers': [10, 7, 21, 22], 'representative': 88, 'size': 2}
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id: 121169248
{'aut_label': '18A1', 'centralizer': '2.b1.a1', 'counter': 21, 'group_counter': 63, 'group_order': 1584, 'label': '18A5', 'order': 18, 'powers': [12, 7, 22, 20], 'representative': 440, 'size': 2}
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id: 121169259
{'aut_label': '18A1', 'centralizer': '2.b1.a1', 'counter': 22, 'group_counter': 63, 'group_order': 1584, 'label': '18A7', 'order': 18, 'powers': [11, 7, 20, 21], 'representative': 616, 'size': 2}
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id: 121169270
{'aut_label': '22A1', 'centralizer': '2.b1.a1', 'counter': 23, 'group_counter': 63, 'group_order': 1584, 'label': '22A1', 'order': 22, 'powers': [13, 24, 25, 2], 'representative': 72, 'size': 2}
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id: 121169281
{'aut_label': '22A1', 'centralizer': '2.b1.a1', 'counter': 24, 'group_counter': 63, 'group_order': 1584, 'label': '22A3', 'order': 22, 'powers': [15, 27, 26, 2], 'representative': 216, 'size': 2}
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id: 121169292
{'aut_label': '22A1', 'centralizer': '2.b1.a1', 'counter': 25, 'group_counter': 63, 'group_order': 1584, 'label': '22A5', 'order': 22, 'powers': [17, 26, 24, 2], 'representative': 360, 'size': 2}
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id: 121169303
{'aut_label': '22A1', 'centralizer': '2.b1.a1', 'counter': 26, 'group_counter': 63, 'group_order': 1584, 'label': '22A7', 'order': 22, 'powers': [16, 23, 27, 2], 'representative': 504, 'size': 2}
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id: 121169314
{'aut_label': '22A1', 'centralizer': '2.b1.a1', 'counter': 27, 'group_counter': 63, 'group_order': 1584, 'label': '22A9', 'order': 22, 'powers': [14, 25, 23, 2], 'representative': 648, 'size': 2}
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id: 121169325
{'aut_label': '24A1', 'centralizer': '2.b1.a1', 'counter': 28, 'group_counter': 63, 'group_order': 1584, 'label': '24A1', 'order': 24, 'powers': [18, 8, 29, 31], 'representative': 66, 'size': 2}
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id: 121169336
{'aut_label': '24A1', 'centralizer': '2.b1.a1', 'counter': 29, 'group_counter': 63, 'group_order': 1584, 'label': '24A5', 'order': 24, 'powers': [19, 9, 28, 30], 'representative': 330, 'size': 2}
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id: 121169348
{'aut_label': '24A1', 'centralizer': '2.b1.a1', 'counter': 30, 'group_counter': 63, 'group_order': 1584, 'label': '24A7', 'order': 24, 'powers': [19, 8, 31, 29], 'representative': 462, 'size': 2}
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id: 121169359
{'aut_label': '24A1', 'centralizer': '2.b1.a1', 'counter': 31, 'group_counter': 63, 'group_order': 1584, 'label': '24A11', 'order': 24, 'powers': [18, 9, 30, 28], 'representative': 726, 'size': 2}
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id: 121169370
{'aut_label': '33A1', 'centralizer': '2.b1.a1', 'counter': 32, 'group_counter': 63, 'group_order': 1584, 'label': '33A1', 'order': 33, 'powers': [33, 13, 35, 3], 'representative': 48, 'size': 2}
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id: 121169381
{'aut_label': '33A1', 'centralizer': '2.b1.a1', 'counter': 33, 'group_counter': 63, 'group_order': 1584, 'label': '33A2', 'order': 33, 'powers': [34, 14, 38, 3], 'representative': 96, 'size': 2}
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id: 121169392
{'aut_label': '33A1', 'centralizer': '2.b1.a1', 'counter': 34, 'group_counter': 63, 'group_order': 1584, 'label': '33A4', 'order': 33, 'powers': [37, 16, 39, 3], 'representative': 192, 'size': 2}
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id: 121169403
{'aut_label': '33A1', 'centralizer': '2.b1.a1', 'counter': 35, 'group_counter': 63, 'group_order': 1584, 'label': '33A5', 'order': 33, 'powers': [38, 17, 37, 3], 'representative': 240, 'size': 2}
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id: 121169414
{'aut_label': '33A1', 'centralizer': '2.b1.a1', 'counter': 36, 'group_counter': 63, 'group_order': 1584, 'label': '33A7', 'order': 33, 'powers': [40, 16, 33, 3], 'representative': 336, 'size': 2}
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id: 121169425
{'aut_label': '33A1', 'centralizer': '2.b1.a1', 'counter': 37, 'group_counter': 63, 'group_order': 1584, 'label': '33A8', 'order': 33, 'powers': [41, 15, 36, 3], 'representative': 384, 'size': 2}
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id: 121169436
{'aut_label': '33A1', 'centralizer': '2.b1.a1', 'counter': 38, 'group_counter': 63, 'group_order': 1584, 'label': '33A10', 'order': 33, 'powers': [39, 13, 41, 3], 'representative': 480, 'size': 2}
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id: 121169447
{'aut_label': '33A1', 'centralizer': '2.b1.a1', 'counter': 39, 'group_counter': 63, 'group_order': 1584, 'label': '33A13', 'order': 33, 'powers': [36, 14, 32, 3], 'representative': 624, 'size': 2}
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id: 121169459
{'aut_label': '33A1', 'centralizer': '2.b1.a1', 'counter': 40, 'group_counter': 63, 'group_order': 1584, 'label': '33A14', 'order': 33, 'powers': [35, 15, 34, 3], 'representative': 672, 'size': 2}
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id: 121169460
{'aut_label': '33A1', 'centralizer': '2.b1.a1', 'counter': 41, 'group_counter': 63, 'group_order': 1584, 'label': '33A16', 'order': 33, 'powers': [32, 17, 40, 3], 'representative': 768, 'size': 2}
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id: 121169461
{'aut_label': '36A1', 'centralizer': '2.b1.a1', 'counter': 42, 'group_counter': 63, 'group_order': 1584, 'label': '36A1', 'order': 36, 'powers': [20, 18, 43, 45], 'representative': 44, 'size': 2}
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id: 121169462
{'aut_label': '36A1', 'centralizer': '2.b1.a1', 'counter': 43, 'group_counter': 63, 'group_order': 1584, 'label': '36A5', 'order': 36, 'powers': [21, 19, 45, 47], 'representative': 220, 'size': 2}
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id: 121169463
{'aut_label': '36A1', 'centralizer': '2.b1.a1', 'counter': 44, 'group_counter': 63, 'group_order': 1584, 'label': '36A7', 'order': 36, 'powers': [22, 19, 42, 43], 'representative': 308, 'size': 2}
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id: 121169464
{'aut_label': '36A1', 'centralizer': '2.b1.a1', 'counter': 45, 'group_counter': 63, 'group_order': 1584, 'label': '36A11', 'order': 36, 'powers': [22, 18, 47, 46], 'representative': 484, 'size': 2}
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id: 121169465
{'aut_label': '36A1', 'centralizer': '2.b1.a1', 'counter': 46, 'group_counter': 63, 'group_order': 1584, 'label': '36A13', 'order': 36, 'powers': [21, 18, 44, 42], 'representative': 572, 'size': 2}
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id: 121169466
{'aut_label': '36A1', 'centralizer': '2.b1.a1', 'counter': 47, 'group_counter': 63, 'group_order': 1584, 'label': '36A17', 'order': 36, 'powers': [20, 19, 46, 44], 'representative': 748, 'size': 2}
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id: 121169467
{'aut_label': '44A1', 'centralizer': '2.b1.a1', 'counter': 48, 'group_counter': 63, 'group_order': 1584, 'label': '44A1', 'order': 44, 'powers': [23, 49, 50, 4], 'representative': 36, 'size': 2}
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id: 121169468
{'aut_label': '44A1', 'centralizer': '2.b1.a1', 'counter': 49, 'group_counter': 63, 'group_order': 1584, 'label': '44A3', 'order': 44, 'powers': [24, 52, 54, 4], 'representative': 108, 'size': 2}
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id: 121169470
{'aut_label': '44A1', 'centralizer': '2.b1.a1', 'counter': 50, 'group_counter': 63, 'group_order': 1584, 'label': '44A5', 'order': 44, 'powers': [25, 54, 56, 4], 'representative': 180, 'size': 2}
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id: 121169471
{'aut_label': '44A1', 'centralizer': '2.b1.a1', 'counter': 51, 'group_counter': 63, 'group_order': 1584, 'label': '44A7', 'order': 44, 'powers': [26, 57, 52, 4], 'representative': 252, 'size': 2}
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id: 121169472
{'aut_label': '44A1', 'centralizer': '2.b1.a1', 'counter': 52, 'group_counter': 63, 'group_order': 1584, 'label': '44A9', 'order': 44, 'powers': [27, 55, 48, 4], 'representative': 324, 'size': 2}
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id: 121169473
{'aut_label': '44A1', 'centralizer': '2.b1.a1', 'counter': 53, 'group_counter': 63, 'group_order': 1584, 'label': '44A13', 'order': 44, 'powers': [27, 50, 57, 4], 'representative': 468, 'size': 2}
-
id: 121169474
{'aut_label': '44A1', 'centralizer': '2.b1.a1', 'counter': 54, 'group_counter': 63, 'group_order': 1584, 'label': '44A15', 'order': 44, 'powers': [26, 48, 53, 4], 'representative': 540, 'size': 2}
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id: 121169475
{'aut_label': '44A1', 'centralizer': '2.b1.a1', 'counter': 55, 'group_counter': 63, 'group_order': 1584, 'label': '44A17', 'order': 44, 'powers': [25, 51, 49, 4], 'representative': 612, 'size': 2}
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id: 121169476
{'aut_label': '44A1', 'centralizer': '2.b1.a1', 'counter': 56, 'group_counter': 63, 'group_order': 1584, 'label': '44A19', 'order': 44, 'powers': [24, 53, 51, 4], 'representative': 684, 'size': 2}
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id: 121169477
{'aut_label': '44A1', 'centralizer': '2.b1.a1', 'counter': 57, 'group_counter': 63, 'group_order': 1584, 'label': '44A21', 'order': 44, 'powers': [23, 56, 55, 4], 'representative': 756, 'size': 2}
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id: 121169478
{'aut_label': '66A1', 'centralizer': '2.b1.a1', 'counter': 58, 'group_counter': 63, 'group_order': 1584, 'label': '66A1', 'order': 66, 'powers': [32, 23, 59, 7], 'representative': 24, 'size': 2}
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id: 121169479
{'aut_label': '66A1', 'centralizer': '2.b1.a1', 'counter': 59, 'group_counter': 63, 'group_order': 1584, 'label': '66A5', 'order': 66, 'powers': [35, 25, 65, 7], 'representative': 120, 'size': 2}
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id: 121169481
{'aut_label': '66A1', 'centralizer': '2.b1.a1', 'counter': 60, 'group_counter': 63, 'group_order': 1584, 'label': '66A7', 'order': 66, 'powers': [36, 26, 67, 7], 'representative': 168, 'size': 2}
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id: 121169482
{'aut_label': '66A1', 'centralizer': '2.b1.a1', 'counter': 61, 'group_counter': 63, 'group_order': 1584, 'label': '66A13', 'order': 66, 'powers': [39, 27, 58, 7], 'representative': 312, 'size': 2}
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id: 121169483
{'aut_label': '66A1', 'centralizer': '2.b1.a1', 'counter': 62, 'group_counter': 63, 'group_order': 1584, 'label': '66A17', 'order': 66, 'powers': [41, 25, 63, 7], 'representative': 408, 'size': 2}
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id: 121169484
{'aut_label': '66A1', 'centralizer': '2.b1.a1', 'counter': 63, 'group_counter': 63, 'group_order': 1584, 'label': '66A19', 'order': 66, 'powers': [40, 24, 66, 7], 'representative': 456, 'size': 2}
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id: 121169485
{'aut_label': '66A1', 'centralizer': '2.b1.a1', 'counter': 64, 'group_counter': 63, 'group_order': 1584, 'label': '66A23', 'order': 66, 'powers': [38, 23, 62, 7], 'representative': 552, 'size': 2}
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id: 121169486
{'aut_label': '66A1', 'centralizer': '2.b1.a1', 'counter': 65, 'group_counter': 63, 'group_order': 1584, 'label': '66A25', 'order': 66, 'powers': [37, 24, 60, 7], 'representative': 600, 'size': 2}
-
id: 121169487
{'aut_label': '66A1', 'centralizer': '2.b1.a1', 'counter': 66, 'group_counter': 63, 'group_order': 1584, 'label': '66A29', 'order': 66, 'powers': [34, 26, 61, 7], 'representative': 696, 'size': 2}
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id: 121169488
{'aut_label': '66A1', 'centralizer': '2.b1.a1', 'counter': 67, 'group_counter': 63, 'group_order': 1584, 'label': '66A31', 'order': 66, 'powers': [33, 27, 64, 7], 'representative': 744, 'size': 2}
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id: 121169489
{'aut_label': '72A1', 'centralizer': '2.b1.a1', 'counter': 68, 'group_counter': 63, 'group_order': 1584, 'label': '72A1', 'order': 72, 'powers': [42, 28, 69, 71], 'representative': 22, 'size': 2}
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id: 121169490
{'aut_label': '72A1', 'centralizer': '2.b1.a1', 'counter': 69, 'group_counter': 63, 'group_order': 1584, 'label': '72A5', 'order': 72, 'powers': [43, 29, 76, 73], 'representative': 110, 'size': 2}
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id: 121169492
{'aut_label': '72A1', 'centralizer': '2.b1.a1', 'counter': 70, 'group_counter': 63, 'group_order': 1584, 'label': '72A7', 'order': 72, 'powers': [44, 30, 79, 69], 'representative': 154, 'size': 2}
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id: 121169493
{'aut_label': '72A1', 'centralizer': '2.b1.a1', 'counter': 71, 'group_counter': 63, 'group_order': 1584, 'label': '72A11', 'order': 72, 'powers': [45, 31, 73, 75], 'representative': 242, 'size': 2}
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id: 121169494
{'aut_label': '72A1', 'centralizer': '2.b1.a1', 'counter': 72, 'group_counter': 63, 'group_order': 1584, 'label': '72A13', 'order': 72, 'powers': [46, 31, 70, 68], 'representative': 286, 'size': 2}
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id: 121169495
{'aut_label': '72A1', 'centralizer': '2.b1.a1', 'counter': 73, 'group_counter': 63, 'group_order': 1584, 'label': '72A17', 'order': 72, 'powers': [47, 30, 72, 77], 'representative': 374, 'size': 2}
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id: 121169496
{'aut_label': '72A1', 'centralizer': '2.b1.a1', 'counter': 74, 'group_counter': 63, 'group_order': 1584, 'label': '72A19', 'order': 72, 'powers': [47, 29, 75, 70], 'representative': 418, 'size': 2}
-
id: 121169497
{'aut_label': '72A1', 'centralizer': '2.b1.a1', 'counter': 75, 'group_counter': 63, 'group_order': 1584, 'label': '72A23', 'order': 72, 'powers': [46, 28, 77, 79], 'representative': 506, 'size': 2}
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id: 121169498
{'aut_label': '72A1', 'centralizer': '2.b1.a1', 'counter': 76, 'group_counter': 63, 'group_order': 1584, 'label': '72A25', 'order': 72, 'powers': [45, 28, 74, 72], 'representative': 550, 'size': 2}
-
id: 121169499
{'aut_label': '72A1', 'centralizer': '2.b1.a1', 'counter': 77, 'group_counter': 63, 'group_order': 1584, 'label': '72A29', 'order': 72, 'powers': [44, 29, 68, 78], 'representative': 638, 'size': 2}
-
id: 121169500
{'aut_label': '72A1', 'centralizer': '2.b1.a1', 'counter': 78, 'group_counter': 63, 'group_order': 1584, 'label': '72A31', 'order': 72, 'powers': [43, 30, 71, 74], 'representative': 682, 'size': 2}
-
id: 121169501
{'aut_label': '72A1', 'centralizer': '2.b1.a1', 'counter': 79, 'group_counter': 63, 'group_order': 1584, 'label': '72A35', 'order': 72, 'powers': [42, 31, 78, 76], 'representative': 770, 'size': 2}
-
id: 121169503
{'aut_label': '88A1', 'centralizer': '2.b1.a1', 'counter': 80, 'group_counter': 63, 'group_order': 1584, 'label': '88A1', 'order': 88, 'powers': [48, 81, 82, 8], 'representative': 18, 'size': 2}
-
id: 121169504
{'aut_label': '88A1', 'centralizer': '2.b1.a1', 'counter': 81, 'group_counter': 63, 'group_order': 1584, 'label': '88A3', 'order': 88, 'powers': [49, 84, 86, 9], 'representative': 54, 'size': 2}
-
id: 121169505
{'aut_label': '88A1', 'centralizer': '2.b1.a1', 'counter': 82, 'group_counter': 63, 'group_order': 1584, 'label': '88A5', 'order': 88, 'powers': [50, 86, 91, 9], 'representative': 90, 'size': 2}
-
id: 121169506
{'aut_label': '88A1', 'centralizer': '2.b1.a1', 'counter': 83, 'group_counter': 63, 'group_order': 1584, 'label': '88A7', 'order': 88, 'powers': [51, 89, 95, 8], 'representative': 126, 'size': 2}
-
id: 121169507
{'aut_label': '88A1', 'centralizer': '2.b1.a1', 'counter': 84, 'group_counter': 63, 'group_order': 1584, 'label': '88A9', 'order': 88, 'powers': [52, 92, 99, 8], 'representative': 162, 'size': 2}
-
id: 121169508
{'aut_label': '88A1', 'centralizer': '2.b1.a1', 'counter': 85, 'group_counter': 63, 'group_order': 1584, 'label': '88A13', 'order': 88, 'powers': [53, 97, 90, 9], 'representative': 234, 'size': 2}
-
id: 121169509
{'aut_label': '88A1', 'centralizer': '2.b1.a1', 'counter': 86, 'group_counter': 63, 'group_order': 1584, 'label': '88A15', 'order': 88, 'powers': [54, 99, 85, 8], 'representative': 270, 'size': 2}
-
id: 121169510
{'aut_label': '88A1', 'centralizer': '2.b1.a1', 'counter': 87, 'group_counter': 63, 'group_order': 1584, 'label': '88A17', 'order': 88, 'powers': [55, 96, 81, 8], 'representative': 306, 'size': 2}
-
id: 121169511
{'aut_label': '88A1', 'centralizer': '2.b1.a1', 'counter': 88, 'group_counter': 63, 'group_order': 1584, 'label': '88A19', 'order': 88, 'powers': [56, 94, 83, 9], 'representative': 342, 'size': 2}
-
id: 121169512
{'aut_label': '88A1', 'centralizer': '2.b1.a1', 'counter': 89, 'group_counter': 63, 'group_order': 1584, 'label': '88A21', 'order': 88, 'powers': [57, 91, 87, 9], 'representative': 378, 'size': 2}
-
id: 121169514
{'aut_label': '88A1', 'centralizer': '2.b1.a1', 'counter': 90, 'group_counter': 63, 'group_order': 1584, 'label': '88A23', 'order': 88, 'powers': [57, 88, 92, 8], 'representative': 414, 'size': 2}
-
id: 121169515
{'aut_label': '88A1', 'centralizer': '2.b1.a1', 'counter': 91, 'group_counter': 63, 'group_order': 1584, 'label': '88A25', 'order': 88, 'powers': [56, 85, 96, 8], 'representative': 450, 'size': 2}
-
id: 121169516
{'aut_label': '88A1', 'centralizer': '2.b1.a1', 'counter': 92, 'group_counter': 63, 'group_order': 1584, 'label': '88A27', 'order': 88, 'powers': [55, 83, 98, 9], 'representative': 486, 'size': 2}
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id: 121169517
{'aut_label': '88A1', 'centralizer': '2.b1.a1', 'counter': 93, 'group_counter': 63, 'group_order': 1584, 'label': '88A29', 'order': 88, 'powers': [54, 80, 94, 9], 'representative': 522, 'size': 2}
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id: 121169518
{'aut_label': '88A1', 'centralizer': '2.b1.a1', 'counter': 94, 'group_counter': 63, 'group_order': 1584, 'label': '88A31', 'order': 88, 'powers': [53, 82, 89, 8], 'representative': 558, 'size': 2}
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id: 121169519
{'aut_label': '88A1', 'centralizer': '2.b1.a1', 'counter': 95, 'group_counter': 63, 'group_order': 1584, 'label': '88A35', 'order': 88, 'powers': [52, 87, 80, 9], 'representative': 630, 'size': 2}
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id: 121169520
{'aut_label': '88A1', 'centralizer': '2.b1.a1', 'counter': 96, 'group_counter': 63, 'group_order': 1584, 'label': '88A37', 'order': 88, 'powers': [51, 90, 84, 9], 'representative': 666, 'size': 2}
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id: 121169521
{'aut_label': '88A1', 'centralizer': '2.b1.a1', 'counter': 97, 'group_counter': 63, 'group_order': 1584, 'label': '88A39', 'order': 88, 'powers': [50, 93, 88, 8], 'representative': 702, 'size': 2}
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id: 121169522
{'aut_label': '88A1', 'centralizer': '2.b1.a1', 'counter': 98, 'group_counter': 63, 'group_order': 1584, 'label': '88A41', 'order': 88, 'powers': [49, 95, 93, 8], 'representative': 738, 'size': 2}
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id: 121169523
{'aut_label': '88A1', 'centralizer': '2.b1.a1', 'counter': 99, 'group_counter': 63, 'group_order': 1584, 'label': '88A43', 'order': 88, 'powers': [48, 98, 97, 9], 'representative': 774, 'size': 2}
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id: 121169127
{'aut_label': '99A1', 'centralizer': '2.b1.a1', 'counter': 100, 'group_counter': 63, 'group_order': 1584, 'label': '99A1', 'order': 99, 'powers': [101, 32, 103, 10], 'representative': 16, 'size': 2}
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id: 121169128
{'aut_label': '99A1', 'centralizer': '2.b1.a1', 'counter': 101, 'group_counter': 63, 'group_order': 1584, 'label': '99A2', 'order': 99, 'powers': [102, 33, 106, 11], 'representative': 32, 'size': 2}
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id: 121169129
{'aut_label': '99A1', 'centralizer': '2.b1.a1', 'counter': 102, 'group_counter': 63, 'group_order': 1584, 'label': '99A4', 'order': 99, 'powers': [105, 34, 112, 12], 'representative': 64, 'size': 2}
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id: 121169130
{'aut_label': '99A1', 'centralizer': '2.b1.a1', 'counter': 103, 'group_counter': 63, 'group_order': 1584, 'label': '99A5', 'order': 99, 'powers': [106, 35, 114, 12], 'representative': 80, 'size': 2}
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id: 121169131
{'aut_label': '99A1', 'centralizer': '2.b1.a1', 'counter': 104, 'group_counter': 63, 'group_order': 1584, 'label': '99A7', 'order': 99, 'powers': [108, 36, 121, 11], 'representative': 112, 'size': 2}
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id: 121169132
{'aut_label': '99A1', 'centralizer': '2.b1.a1', 'counter': 105, 'group_counter': 63, 'group_order': 1584, 'label': '99A8', 'order': 99, 'powers': [109, 37, 124, 10], 'representative': 128, 'size': 2}
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id: 121169133
{'aut_label': '99A1', 'centralizer': '2.b1.a1', 'counter': 106, 'group_counter': 63, 'group_order': 1584, 'label': '99A10', 'order': 99, 'powers': [112, 38, 129, 10], 'representative': 160, 'size': 2}
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id: 121169134
{'aut_label': '99A1', 'centralizer': '2.b1.a1', 'counter': 107, 'group_counter': 63, 'group_order': 1584, 'label': '99A13', 'order': 99, 'powers': [115, 39, 120, 12], 'representative': 208, 'size': 2}
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id: 121169135
{'aut_label': '99A1', 'centralizer': '2.b1.a1', 'counter': 108, 'group_counter': 63, 'group_order': 1584, 'label': '99A14', 'order': 99, 'powers': [116, 40, 117, 12], 'representative': 224, 'size': 2}
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id: 121169136
{'aut_label': '99A1', 'centralizer': '2.b1.a1', 'counter': 109, 'group_counter': 63, 'group_order': 1584, 'label': '99A16', 'order': 99, 'powers': [119, 41, 111, 11], 'representative': 256, 'size': 2}
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id: 121169138
{'aut_label': '99A1', 'centralizer': '2.b1.a1', 'counter': 110, 'group_counter': 63, 'group_order': 1584, 'label': '99A17', 'order': 99, 'powers': [120, 41, 108, 10], 'representative': 272, 'size': 2}
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id: 121169139
{'aut_label': '99A1', 'centralizer': '2.b1.a1', 'counter': 111, 'group_counter': 63, 'group_order': 1584, 'label': '99A19', 'order': 99, 'powers': [123, 40, 102, 10], 'representative': 304, 'size': 2}
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id: 121169140
{'aut_label': '99A1', 'centralizer': '2.b1.a1', 'counter': 112, 'group_counter': 63, 'group_order': 1584, 'label': '99A20', 'order': 99, 'powers': [124, 39, 100, 11], 'representative': 320, 'size': 2}
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id: 121169141
{'aut_label': '99A1', 'centralizer': '2.b1.a1', 'counter': 113, 'group_counter': 63, 'group_order': 1584, 'label': '99A23', 'order': 99, 'powers': [127, 38, 109, 12], 'representative': 368, 'size': 2}
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id: 121169142
{'aut_label': '99A1', 'centralizer': '2.b1.a1', 'counter': 114, 'group_counter': 63, 'group_order': 1584, 'label': '99A25', 'order': 99, 'powers': [129, 37, 115, 11], 'representative': 400, 'size': 2}
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id: 121169143
{'aut_label': '99A1', 'centralizer': '2.b1.a1', 'counter': 115, 'group_counter': 63, 'group_order': 1584, 'label': '99A26', 'order': 99, 'powers': [128, 36, 118, 10], 'representative': 416, 'size': 2}
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id: 121169144
{'aut_label': '99A1', 'centralizer': '2.b1.a1', 'counter': 116, 'group_counter': 63, 'group_order': 1584, 'label': '99A28', 'order': 99, 'powers': [126, 35, 125, 10], 'representative': 448, 'size': 2}
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id: 121169145
{'aut_label': '99A1', 'centralizer': '2.b1.a1', 'counter': 117, 'group_counter': 63, 'group_order': 1584, 'label': '99A29', 'order': 99, 'powers': [125, 34, 127, 11], 'representative': 464, 'size': 2}
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id: 121169146
{'aut_label': '99A1', 'centralizer': '2.b1.a1', 'counter': 118, 'group_counter': 63, 'group_order': 1584, 'label': '99A31', 'order': 99, 'powers': [122, 33, 126, 12], 'representative': 496, 'size': 2}
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id: 121169147
{'aut_label': '99A1', 'centralizer': '2.b1.a1', 'counter': 119, 'group_counter': 63, 'group_order': 1584, 'label': '99A32', 'order': 99, 'powers': [121, 32, 123, 12], 'representative': 512, 'size': 2}
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id: 121169149
{'aut_label': '99A1', 'centralizer': '2.b1.a1', 'counter': 120, 'group_counter': 63, 'group_order': 1584, 'label': '99A34', 'order': 99, 'powers': [118, 32, 116, 11], 'representative': 544, 'size': 2}
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id: 121169150
{'aut_label': '99A1', 'centralizer': '2.b1.a1', 'counter': 121, 'group_counter': 63, 'group_order': 1584, 'label': '99A35', 'order': 99, 'powers': [117, 33, 113, 10], 'representative': 560, 'size': 2}
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id: 121169151
{'aut_label': '99A1', 'centralizer': '2.b1.a1', 'counter': 122, 'group_counter': 63, 'group_order': 1584, 'label': '99A37', 'order': 99, 'powers': [114, 34, 107, 10], 'representative': 592, 'size': 2}
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id: 121169152
{'aut_label': '99A1', 'centralizer': '2.b1.a1', 'counter': 123, 'group_counter': 63, 'group_order': 1584, 'label': '99A38', 'order': 99, 'powers': [113, 35, 105, 11], 'representative': 608, 'size': 2}
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id: 121169153
{'aut_label': '99A1', 'centralizer': '2.b1.a1', 'counter': 124, 'group_counter': 63, 'group_order': 1584, 'label': '99A40', 'order': 99, 'powers': [111, 36, 101, 12], 'representative': 640, 'size': 2}
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id: 121169154
{'aut_label': '99A1', 'centralizer': '2.b1.a1', 'counter': 125, 'group_counter': 63, 'group_order': 1584, 'label': '99A41', 'order': 99, 'powers': [110, 37, 104, 12], 'representative': 656, 'size': 2}
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id: 121169155
{'aut_label': '99A1', 'centralizer': '2.b1.a1', 'counter': 126, 'group_counter': 63, 'group_order': 1584, 'label': '99A43', 'order': 99, 'powers': [107, 38, 110, 11], 'representative': 688, 'size': 2}
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id: 121169156
{'aut_label': '99A1', 'centralizer': '2.b1.a1', 'counter': 127, 'group_counter': 63, 'group_order': 1584, 'label': '99A46', 'order': 99, 'powers': [104, 39, 119, 10], 'representative': 736, 'size': 2}
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id: 121169157
{'aut_label': '99A1', 'centralizer': '2.b1.a1', 'counter': 128, 'group_counter': 63, 'group_order': 1584, 'label': '99A47', 'order': 99, 'powers': [103, 40, 122, 11], 'representative': 752, 'size': 2}
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id: 121169158
{'aut_label': '99A1', 'centralizer': '2.b1.a1', 'counter': 129, 'group_counter': 63, 'group_order': 1584, 'label': '99A49', 'order': 99, 'powers': [100, 41, 128, 12], 'representative': 784, 'size': 2}
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id: 121169160
{'aut_label': '132A1', 'centralizer': '2.b1.a1', 'counter': 130, 'group_counter': 63, 'group_order': 1584, 'label': '132A1', 'order': 132, 'powers': [58, 48, 131, 18], 'representative': 12, 'size': 2}
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id: 121169161
{'aut_label': '132A1', 'centralizer': '2.b1.a1', 'counter': 131, 'group_counter': 63, 'group_order': 1584, 'label': '132A5', 'order': 132, 'powers': [59, 50, 137, 19], 'representative': 60, 'size': 2}
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id: 121169162
{'aut_label': '132A1', 'centralizer': '2.b1.a1', 'counter': 132, 'group_counter': 63, 'group_order': 1584, 'label': '132A7', 'order': 132, 'powers': [60, 51, 140, 19], 'representative': 84, 'size': 2}
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id: 121169163
{'aut_label': '132A1', 'centralizer': '2.b1.a1', 'counter': 133, 'group_counter': 63, 'group_order': 1584, 'label': '132A13', 'order': 132, 'powers': [61, 53, 149, 18], 'representative': 156, 'size': 2}
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id: 121169164
{'aut_label': '132A1', 'centralizer': '2.b1.a1', 'counter': 134, 'group_counter': 63, 'group_order': 1584, 'label': '132A17', 'order': 132, 'powers': [62, 55, 144, 19], 'representative': 204, 'size': 2}
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id: 121169165
{'aut_label': '132A1', 'centralizer': '2.b1.a1', 'counter': 135, 'group_counter': 63, 'group_order': 1584, 'label': '132A19', 'order': 132, 'powers': [63, 56, 141, 19], 'representative': 228, 'size': 2}
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id: 121169166
{'aut_label': '132A1', 'centralizer': '2.b1.a1', 'counter': 136, 'group_counter': 63, 'group_order': 1584, 'label': '132A23', 'order': 132, 'powers': [64, 57, 134, 18], 'representative': 276, 'size': 2}
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id: 121169167
{'aut_label': '132A1', 'centralizer': '2.b1.a1', 'counter': 137, 'group_counter': 63, 'group_order': 1584, 'label': '132A25', 'order': 132, 'powers': [65, 56, 132, 18], 'representative': 300, 'size': 2}
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id: 121169168
{'aut_label': '132A1', 'centralizer': '2.b1.a1', 'counter': 138, 'group_counter': 63, 'group_order': 1584, 'label': '132A29', 'order': 132, 'powers': [66, 54, 133, 19], 'representative': 348, 'size': 2}
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id: 121169169
{'aut_label': '132A1', 'centralizer': '2.b1.a1', 'counter': 139, 'group_counter': 63, 'group_order': 1584, 'label': '132A31', 'order': 132, 'powers': [67, 53, 136, 19], 'representative': 372, 'size': 2}
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id: 121169171
{'aut_label': '132A1', 'centralizer': '2.b1.a1', 'counter': 140, 'group_counter': 63, 'group_order': 1584, 'label': '132A35', 'order': 132, 'powers': [67, 52, 143, 18], 'representative': 420, 'size': 2}
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id: 121169172
{'aut_label': '132A1', 'centralizer': '2.b1.a1', 'counter': 141, 'group_counter': 63, 'group_order': 1584, 'label': '132A37', 'order': 132, 'powers': [66, 51, 146, 18], 'representative': 444, 'size': 2}
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id: 121169173
{'aut_label': '132A1', 'centralizer': '2.b1.a1', 'counter': 142, 'group_counter': 63, 'group_order': 1584, 'label': '132A41', 'order': 132, 'powers': [65, 49, 147, 19], 'representative': 492, 'size': 2}
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id: 121169174
{'aut_label': '132A1', 'centralizer': '2.b1.a1', 'counter': 143, 'group_counter': 63, 'group_order': 1584, 'label': '132A43', 'order': 132, 'powers': [64, 48, 145, 19], 'representative': 516, 'size': 2}
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id: 121169175
{'aut_label': '132A1', 'centralizer': '2.b1.a1', 'counter': 144, 'group_counter': 63, 'group_order': 1584, 'label': '132A47', 'order': 132, 'powers': [63, 49, 138, 18], 'representative': 564, 'size': 2}
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id: 121169176
{'aut_label': '132A1', 'centralizer': '2.b1.a1', 'counter': 145, 'group_counter': 63, 'group_order': 1584, 'label': '132A49', 'order': 132, 'powers': [62, 50, 135, 18], 'representative': 588, 'size': 2}
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id: 121169177
{'aut_label': '132A1', 'centralizer': '2.b1.a1', 'counter': 146, 'group_counter': 63, 'group_order': 1584, 'label': '132A53', 'order': 132, 'powers': [61, 52, 130, 19], 'representative': 636, 'size': 2}
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id: 121169178
{'aut_label': '132A1', 'centralizer': '2.b1.a1', 'counter': 147, 'group_counter': 63, 'group_order': 1584, 'label': '132A59', 'order': 132, 'powers': [60, 54, 139, 18], 'representative': 708, 'size': 2}
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id: 121169179
{'aut_label': '132A1', 'centralizer': '2.b1.a1', 'counter': 148, 'group_counter': 63, 'group_order': 1584, 'label': '132A61', 'order': 132, 'powers': [59, 55, 142, 18], 'representative': 732, 'size': 2}
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id: 121169180
{'aut_label': '132A1', 'centralizer': '2.b1.a1', 'counter': 149, 'group_counter': 63, 'group_order': 1584, 'label': '132A65', 'order': 132, 'powers': [58, 57, 148, 19], 'representative': 780, 'size': 2}
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id: 121169182
{'aut_label': '198A1', 'centralizer': '2.b1.a1', 'counter': 150, 'group_counter': 63, 'group_order': 1584, 'label': '198A1', 'order': 198, 'powers': [100, 58, 151, 20], 'representative': 8, 'size': 2}
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id: 121169183
{'aut_label': '198A1', 'centralizer': '2.b1.a1', 'counter': 151, 'group_counter': 63, 'group_order': 1584, 'label': '198A5', 'order': 198, 'powers': [103, 59, 157, 21], 'representative': 40, 'size': 2}
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id: 121169184
{'aut_label': '198A1', 'centralizer': '2.b1.a1', 'counter': 152, 'group_counter': 63, 'group_order': 1584, 'label': '198A7', 'order': 198, 'powers': [104, 60, 160, 22], 'representative': 56, 'size': 2}
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id: 121169185
{'aut_label': '198A1', 'centralizer': '2.b1.a1', 'counter': 153, 'group_counter': 63, 'group_order': 1584, 'label': '198A13', 'order': 198, 'powers': [107, 61, 169, 21], 'representative': 104, 'size': 2}
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id: 121169186
{'aut_label': '198A1', 'centralizer': '2.b1.a1', 'counter': 154, 'group_counter': 63, 'group_order': 1584, 'label': '198A17', 'order': 198, 'powers': [110, 62, 175, 20], 'representative': 136, 'size': 2}
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id: 121169187
{'aut_label': '198A1', 'centralizer': '2.b1.a1', 'counter': 155, 'group_counter': 63, 'group_order': 1584, 'label': '198A19', 'order': 198, 'powers': [111, 63, 178, 20], 'representative': 152, 'size': 2}
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id: 121169188
{'aut_label': '198A1', 'centralizer': '2.b1.a1', 'counter': 156, 'group_counter': 63, 'group_order': 1584, 'label': '198A23', 'order': 198, 'powers': [113, 64, 174, 21], 'representative': 184, 'size': 2}
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id: 121169189
{'aut_label': '198A1', 'centralizer': '2.b1.a1', 'counter': 157, 'group_counter': 63, 'group_order': 1584, 'label': '198A25', 'order': 198, 'powers': [114, 65, 172, 22], 'representative': 200, 'size': 2}
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id: 121169190
{'aut_label': '198A1', 'centralizer': '2.b1.a1', 'counter': 158, 'group_counter': 63, 'group_order': 1584, 'label': '198A29', 'order': 198, 'powers': [117, 66, 166, 22], 'representative': 232, 'size': 2}
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id: 121169191
{'aut_label': '198A1', 'centralizer': '2.b1.a1', 'counter': 159, 'group_counter': 63, 'group_order': 1584, 'label': '198A31', 'order': 198, 'powers': [118, 67, 163, 21], 'representative': 248, 'size': 2}
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id: 121169193
{'aut_label': '198A1', 'centralizer': '2.b1.a1', 'counter': 160, 'group_counter': 63, 'group_order': 1584, 'label': '198A35', 'order': 198, 'powers': [121, 67, 156, 20], 'representative': 280, 'size': 2}
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id: 121169194
{'aut_label': '198A1', 'centralizer': '2.b1.a1', 'counter': 161, 'group_counter': 63, 'group_order': 1584, 'label': '198A37', 'order': 198, 'powers': [122, 66, 153, 20], 'representative': 296, 'size': 2}
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id: 121169195
{'aut_label': '198A1', 'centralizer': '2.b1.a1', 'counter': 162, 'group_counter': 63, 'group_order': 1584, 'label': '198A41', 'order': 198, 'powers': [125, 65, 152, 21], 'representative': 328, 'size': 2}
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id: 121169196
{'aut_label': '198A1', 'centralizer': '2.b1.a1', 'counter': 163, 'group_counter': 63, 'group_order': 1584, 'label': '198A43', 'order': 198, 'powers': [126, 64, 154, 22], 'representative': 344, 'size': 2}
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id: 121169197
{'aut_label': '198A1', 'centralizer': '2.b1.a1', 'counter': 164, 'group_counter': 63, 'group_order': 1584, 'label': '198A47', 'order': 198, 'powers': [128, 63, 161, 22], 'representative': 376, 'size': 2}
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id: 121169198
{'aut_label': '198A1', 'centralizer': '2.b1.a1', 'counter': 165, 'group_counter': 63, 'group_order': 1584, 'label': '198A49', 'order': 198, 'powers': [129, 62, 164, 21], 'representative': 392, 'size': 2}
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id: 121169199
{'aut_label': '198A1', 'centralizer': '2.b1.a1', 'counter': 166, 'group_counter': 63, 'group_order': 1584, 'label': '198A53', 'order': 198, 'powers': [127, 61, 170, 20], 'representative': 424, 'size': 2}
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id: 121169200
{'aut_label': '198A1', 'centralizer': '2.b1.a1', 'counter': 167, 'group_counter': 63, 'group_order': 1584, 'label': '198A59', 'order': 198, 'powers': [124, 60, 179, 21], 'representative': 472, 'size': 2}
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id: 121169201
{'aut_label': '198A1', 'centralizer': '2.b1.a1', 'counter': 168, 'group_counter': 63, 'group_order': 1584, 'label': '198A61', 'order': 198, 'powers': [123, 59, 177, 22], 'representative': 488, 'size': 2}
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id: 121169202
{'aut_label': '198A1', 'centralizer': '2.b1.a1', 'counter': 169, 'group_counter': 63, 'group_order': 1584, 'label': '198A65', 'order': 198, 'powers': [120, 58, 171, 22], 'representative': 520, 'size': 2}
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id: 121169204
{'aut_label': '198A1', 'centralizer': '2.b1.a1', 'counter': 170, 'group_counter': 63, 'group_order': 1584, 'label': '198A67', 'order': 198, 'powers': [119, 58, 168, 21], 'representative': 536, 'size': 2}
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id: 121169205
{'aut_label': '198A1', 'centralizer': '2.b1.a1', 'counter': 171, 'group_counter': 63, 'group_order': 1584, 'label': '198A71', 'order': 198, 'powers': [116, 59, 162, 20], 'representative': 568, 'size': 2}
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id: 121169206
{'aut_label': '198A1', 'centralizer': '2.b1.a1', 'counter': 172, 'group_counter': 63, 'group_order': 1584, 'label': '198A73', 'order': 198, 'powers': [115, 60, 159, 20], 'representative': 584, 'size': 2}
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id: 121169207
{'aut_label': '198A1', 'centralizer': '2.b1.a1', 'counter': 173, 'group_counter': 63, 'group_order': 1584, 'label': '198A79', 'order': 198, 'powers': [112, 61, 150, 22], 'representative': 632, 'size': 2}
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id: 121169208
{'aut_label': '198A1', 'centralizer': '2.b1.a1', 'counter': 174, 'group_counter': 63, 'group_order': 1584, 'label': '198A83', 'order': 198, 'powers': [109, 62, 155, 22], 'representative': 664, 'size': 2}
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id: 121169209
{'aut_label': '198A1', 'centralizer': '2.b1.a1', 'counter': 175, 'group_counter': 63, 'group_order': 1584, 'label': '198A85', 'order': 198, 'powers': [108, 63, 158, 21], 'representative': 680, 'size': 2}
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id: 121169210
{'aut_label': '198A1', 'centralizer': '2.b1.a1', 'counter': 176, 'group_counter': 63, 'group_order': 1584, 'label': '198A89', 'order': 198, 'powers': [106, 64, 165, 20], 'representative': 712, 'size': 2}
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id: 121169211
{'aut_label': '198A1', 'centralizer': '2.b1.a1', 'counter': 177, 'group_counter': 63, 'group_order': 1584, 'label': '198A91', 'order': 198, 'powers': [105, 65, 167, 20], 'representative': 728, 'size': 2}
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id: 121169212
{'aut_label': '198A1', 'centralizer': '2.b1.a1', 'counter': 178, 'group_counter': 63, 'group_order': 1584, 'label': '198A95', 'order': 198, 'powers': [102, 66, 173, 21], 'representative': 760, 'size': 2}
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id: 121169213
{'aut_label': '198A1', 'centralizer': '2.b1.a1', 'counter': 179, 'group_counter': 63, 'group_order': 1584, 'label': '198A97', 'order': 198, 'powers': [101, 67, 176, 22], 'representative': 776, 'size': 2}
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id: 121169215
{'aut_label': '264A1', 'centralizer': '2.b1.a1', 'counter': 180, 'group_counter': 63, 'group_order': 1584, 'label': '264A1', 'order': 264, 'powers': [130, 80, 181, 28], 'representative': 6, 'size': 2}
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id: 121169216
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id: 121169264
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id: 121169287
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id: 121169297
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id: 121169299
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id: 121169300
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id: 121169301
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id: 121169302
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id: 121169304
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id: 121169305
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id: 121169306
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id: 121169307
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id: 121169308
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id: 121169309
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id: 121169310
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id: 121169311
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id: 121169312
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id: 121169313
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id: 121169315
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id: 121169316
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id: 121169317
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id: 121169318
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id: 121169319
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id: 121169320
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id: 121169321
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id: 121169322
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id: 121169323
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id: 121169324
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id: 121169326
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id: 121169327
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id: 121169328
{'aut_label': '792A1', 'centralizer': '2.b1.a1', 'counter': 282, 'group_counter': 63, 'group_order': 1584, 'label': '792A7', 'order': 792, 'powers': [222, 182, 290, 70], 'representative': 14, 'size': 2}
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id: 121169329
{'aut_label': '792A1', 'centralizer': '2.b1.a1', 'counter': 283, 'group_counter': 63, 'group_order': 1584, 'label': '792A13', 'order': 792, 'powers': [223, 183, 299, 72], 'representative': 26, 'size': 2}
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id: 121169330
{'aut_label': '792A1', 'centralizer': '2.b1.a1', 'counter': 284, 'group_counter': 63, 'group_order': 1584, 'label': '792A17', 'order': 792, 'powers': [224, 184, 305, 73], 'representative': 34, 'size': 2}
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id: 121169331
{'aut_label': '792A1', 'centralizer': '2.b1.a1', 'counter': 285, 'group_counter': 63, 'group_order': 1584, 'label': '792A19', 'order': 792, 'powers': [225, 185, 308, 74], 'representative': 38, 'size': 2}
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id: 121169332
{'aut_label': '792A1', 'centralizer': '2.b1.a1', 'counter': 286, 'group_counter': 63, 'group_order': 1584, 'label': '792A23', 'order': 792, 'powers': [226, 186, 315, 75], 'representative': 1538, 'size': 2}
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id: 121169333
{'aut_label': '792A1', 'centralizer': '2.b1.a1', 'counter': 287, 'group_counter': 63, 'group_order': 1584, 'label': '792A25', 'order': 792, 'powers': [227, 187, 317, 76], 'representative': 50, 'size': 2}
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id: 121169334
{'aut_label': '792A1', 'centralizer': '2.b1.a1', 'counter': 288, 'group_counter': 63, 'group_order': 1584, 'label': '792A29', 'order': 792, 'powers': [228, 188, 323, 77], 'representative': 58, 'size': 2}
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id: 121169335
{'aut_label': '792A1', 'centralizer': '2.b1.a1', 'counter': 289, 'group_counter': 63, 'group_order': 1584, 'label': '792A31', 'order': 792, 'powers': [229, 189, 326, 78], 'representative': 62, 'size': 2}
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id: 121169337
{'aut_label': '792A1', 'centralizer': '2.b1.a1', 'counter': 290, 'group_counter': 63, 'group_order': 1584, 'label': '792A35', 'order': 792, 'powers': [230, 190, 333, 79], 'representative': 70, 'size': 2}
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id: 121169338
{'aut_label': '792A1', 'centralizer': '2.b1.a1', 'counter': 291, 'group_counter': 63, 'group_order': 1584, 'label': '792A37', 'order': 792, 'powers': [231, 191, 336, 79], 'representative': 74, 'size': 2}
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id: 121169339
{'aut_label': '792A1', 'centralizer': '2.b1.a1', 'counter': 292, 'group_counter': 63, 'group_order': 1584, 'label': '792A41', 'order': 792, 'powers': [232, 192, 342, 78], 'representative': 82, 'size': 2}
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id: 121169340
{'aut_label': '792A1', 'centralizer': '2.b1.a1', 'counter': 293, 'group_counter': 63, 'group_order': 1584, 'label': '792A43', 'order': 792, 'powers': [233, 193, 344, 77], 'representative': 86, 'size': 2}
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id: 121169341
{'aut_label': '792A1', 'centralizer': '2.b1.a1', 'counter': 294, 'group_counter': 63, 'group_order': 1584, 'label': '792A47', 'order': 792, 'powers': [234, 194, 351, 76], 'representative': 1490, 'size': 2}
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id: 121169342
{'aut_label': '792A1', 'centralizer': '2.b1.a1', 'counter': 295, 'group_counter': 63, 'group_order': 1584, 'label': '792A49', 'order': 792, 'powers': [235, 195, 354, 75], 'representative': 98, 'size': 2}
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id: 121169343
{'aut_label': '792A1', 'centralizer': '2.b1.a1', 'counter': 296, 'group_counter': 63, 'group_order': 1584, 'label': '792A53', 'order': 792, 'powers': [236, 196, 360, 74], 'representative': 106, 'size': 2}
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id: 121169344
{'aut_label': '792A1', 'centralizer': '2.b1.a1', 'counter': 297, 'group_counter': 63, 'group_order': 1584, 'label': '792A59', 'order': 792, 'powers': [237, 197, 369, 72], 'representative': 118, 'size': 2}
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id: 121169345
{'aut_label': '792A1', 'centralizer': '2.b1.a1', 'counter': 298, 'group_counter': 63, 'group_order': 1584, 'label': '792A61', 'order': 792, 'powers': [238, 198, 372, 71], 'representative': 122, 'size': 2}
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id: 121169346
{'aut_label': '792A1', 'centralizer': '2.b1.a1', 'counter': 299, 'group_counter': 63, 'group_order': 1584, 'label': '792A65', 'order': 792, 'powers': [239, 199, 378, 70], 'representative': 130, 'size': 2}
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id: 121169349
{'aut_label': '792A1', 'centralizer': '2.b1.a1', 'counter': 300, 'group_counter': 63, 'group_order': 1584, 'label': '792A67', 'order': 792, 'powers': [240, 200, 381, 69], 'representative': 1450, 'size': 2}
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id: 121169350
{'aut_label': '792A1', 'centralizer': '2.b1.a1', 'counter': 301, 'group_counter': 63, 'group_order': 1584, 'label': '792A71', 'order': 792, 'powers': [241, 201, 387, 68], 'representative': 1442, 'size': 2}
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id: 121169351
{'aut_label': '792A1', 'centralizer': '2.b1.a1', 'counter': 302, 'group_counter': 63, 'group_order': 1584, 'label': '792A73', 'order': 792, 'powers': [242, 202, 390, 68], 'representative': 146, 'size': 2}
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id: 121169352
{'aut_label': '792A1', 'centralizer': '2.b1.a1', 'counter': 303, 'group_counter': 63, 'group_order': 1584, 'label': '792A79', 'order': 792, 'powers': [243, 203, 399, 70], 'representative': 158, 'size': 2}
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id: 121169353
{'aut_label': '792A1', 'centralizer': '2.b1.a1', 'counter': 304, 'group_counter': 63, 'group_order': 1584, 'label': '792A83', 'order': 792, 'powers': [244, 204, 394, 71], 'representative': 166, 'size': 2}
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id: 121169354
{'aut_label': '792A1', 'centralizer': '2.b1.a1', 'counter': 305, 'group_counter': 63, 'group_order': 1584, 'label': '792A85', 'order': 792, 'powers': [245, 205, 391, 72], 'representative': 170, 'size': 2}
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id: 121169355
{'aut_label': '792A1', 'centralizer': '2.b1.a1', 'counter': 306, 'group_counter': 63, 'group_order': 1584, 'label': '792A89', 'order': 792, 'powers': [246, 206, 384, 73], 'representative': 178, 'size': 2}
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id: 121169356
{'aut_label': '792A1', 'centralizer': '2.b1.a1', 'counter': 307, 'group_counter': 63, 'group_order': 1584, 'label': '792A91', 'order': 792, 'powers': [247, 207, 382, 74], 'representative': 182, 'size': 2}
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id: 121169357
{'aut_label': '792A1', 'centralizer': '2.b1.a1', 'counter': 308, 'group_counter': 63, 'group_order': 1584, 'label': '792A95', 'order': 792, 'powers': [248, 208, 376, 75], 'representative': 1394, 'size': 2}
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id: 121169358
{'aut_label': '792A1', 'centralizer': '2.b1.a1', 'counter': 309, 'group_counter': 63, 'group_order': 1584, 'label': '792A97', 'order': 792, 'powers': [249, 209, 373, 76], 'representative': 194, 'size': 2}
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id: 121169360
{'aut_label': '792A1', 'centralizer': '2.b1.a1', 'counter': 310, 'group_counter': 63, 'group_order': 1584, 'label': '792A101', 'order': 792, 'powers': [250, 210, 366, 77], 'representative': 202, 'size': 2}
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id: 121169361
{'aut_label': '792A1', 'centralizer': '2.b1.a1', 'counter': 311, 'group_counter': 63, 'group_order': 1584, 'label': '792A103', 'order': 792, 'powers': [251, 211, 363, 78], 'representative': 1378, 'size': 2}
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id: 121169362
{'aut_label': '792A1', 'centralizer': '2.b1.a1', 'counter': 312, 'group_counter': 63, 'group_order': 1584, 'label': '792A107', 'order': 792, 'powers': [252, 212, 357, 79], 'representative': 214, 'size': 2}
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id: 121169363
{'aut_label': '792A1', 'centralizer': '2.b1.a1', 'counter': 313, 'group_counter': 63, 'group_order': 1584, 'label': '792A109', 'order': 792, 'powers': [253, 213, 355, 79], 'representative': 218, 'size': 2}
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id: 121169364
{'aut_label': '792A1', 'centralizer': '2.b1.a1', 'counter': 314, 'group_counter': 63, 'group_order': 1584, 'label': '792A113', 'order': 792, 'powers': [254, 214, 348, 78], 'representative': 226, 'size': 2}
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id: 121169365
{'aut_label': '792A1', 'centralizer': '2.b1.a1', 'counter': 315, 'group_counter': 63, 'group_order': 1584, 'label': '792A115', 'order': 792, 'powers': [255, 215, 345, 77], 'representative': 1354, 'size': 2}
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id: 121169366
{'aut_label': '792A1', 'centralizer': '2.b1.a1', 'counter': 316, 'group_counter': 63, 'group_order': 1584, 'label': '792A119', 'order': 792, 'powers': [256, 216, 339, 76], 'representative': 1346, 'size': 2}
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id: 121169367
{'aut_label': '792A1', 'centralizer': '2.b1.a1', 'counter': 317, 'group_counter': 63, 'group_order': 1584, 'label': '792A125', 'order': 792, 'powers': [257, 217, 330, 74], 'representative': 250, 'size': 2}
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id: 121169368
{'aut_label': '792A1', 'centralizer': '2.b1.a1', 'counter': 318, 'group_counter': 63, 'group_order': 1584, 'label': '792A127', 'order': 792, 'powers': [258, 218, 327, 73], 'representative': 1330, 'size': 2}
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id: 121169369
{'aut_label': '792A1', 'centralizer': '2.b1.a1', 'counter': 319, 'group_counter': 63, 'group_order': 1584, 'label': '792A131', 'order': 792, 'powers': [259, 219, 321, 72], 'representative': 1322, 'size': 2}
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id: 121169371
{'aut_label': '792A1', 'centralizer': '2.b1.a1', 'counter': 320, 'group_counter': 63, 'group_order': 1584, 'label': '792A133', 'order': 792, 'powers': [260, 219, 318, 71], 'representative': 1318, 'size': 2}
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id: 121169372
{'aut_label': '792A1', 'centralizer': '2.b1.a1', 'counter': 321, 'group_counter': 63, 'group_order': 1584, 'label': '792A137', 'order': 792, 'powers': [261, 218, 312, 70], 'representative': 274, 'size': 2}
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id: 121169373
{'aut_label': '792A1', 'centralizer': '2.b1.a1', 'counter': 322, 'group_counter': 63, 'group_order': 1584, 'label': '792A139', 'order': 792, 'powers': [262, 217, 309, 69], 'representative': 1306, 'size': 2}
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id: 121169374
{'aut_label': '792A1', 'centralizer': '2.b1.a1', 'counter': 323, 'group_counter': 63, 'group_order': 1584, 'label': '792A145', 'order': 792, 'powers': [263, 216, 300, 68], 'representative': 290, 'size': 2}
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id: 121169375
{'aut_label': '792A1', 'centralizer': '2.b1.a1', 'counter': 324, 'group_counter': 63, 'group_order': 1584, 'label': '792A149', 'order': 792, 'powers': [264, 215, 294, 69], 'representative': 298, 'size': 2}
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id: 121169376
{'aut_label': '792A1', 'centralizer': '2.b1.a1', 'counter': 325, 'group_counter': 63, 'group_order': 1584, 'label': '792A151', 'order': 792, 'powers': [265, 214, 291, 70], 'representative': 302, 'size': 2}
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id: 121169377
{'aut_label': '792A1', 'centralizer': '2.b1.a1', 'counter': 326, 'group_counter': 63, 'group_order': 1584, 'label': '792A155', 'order': 792, 'powers': [266, 213, 284, 71], 'representative': 310, 'size': 2}
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id: 121169378
{'aut_label': '792A1', 'centralizer': '2.b1.a1', 'counter': 327, 'group_counter': 63, 'group_order': 1584, 'label': '792A157', 'order': 792, 'powers': [267, 212, 282, 72], 'representative': 314, 'size': 2}
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id: 121169379
{'aut_label': '792A1', 'centralizer': '2.b1.a1', 'counter': 328, 'group_counter': 63, 'group_order': 1584, 'label': '792A161', 'order': 792, 'powers': [268, 211, 283, 73], 'representative': 322, 'size': 2}
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id: 121169380
{'aut_label': '792A1', 'centralizer': '2.b1.a1', 'counter': 329, 'group_counter': 63, 'group_order': 1584, 'label': '792A163', 'order': 792, 'powers': [269, 210, 286, 74], 'representative': 326, 'size': 2}
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id: 121169382
{'aut_label': '792A1', 'centralizer': '2.b1.a1', 'counter': 330, 'group_counter': 63, 'group_order': 1584, 'label': '792A167', 'order': 792, 'powers': [270, 209, 293, 75], 'representative': 1250, 'size': 2}
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id: 121169383
{'aut_label': '792A1', 'centralizer': '2.b1.a1', 'counter': 331, 'group_counter': 63, 'group_order': 1584, 'label': '792A169', 'order': 792, 'powers': [271, 208, 296, 76], 'representative': 338, 'size': 2}
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id: 121169384
{'aut_label': '792A1', 'centralizer': '2.b1.a1', 'counter': 332, 'group_counter': 63, 'group_order': 1584, 'label': '792A173', 'order': 792, 'powers': [272, 207, 302, 77], 'representative': 346, 'size': 2}
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id: 121169385
{'aut_label': '792A1', 'centralizer': '2.b1.a1', 'counter': 333, 'group_counter': 63, 'group_order': 1584, 'label': '792A175', 'order': 792, 'powers': [273, 206, 304, 78], 'representative': 1234, 'size': 2}
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id: 121169386
{'aut_label': '792A1', 'centralizer': '2.b1.a1', 'counter': 334, 'group_counter': 63, 'group_order': 1584, 'label': '792A179', 'order': 792, 'powers': [274, 205, 311, 79], 'representative': 358, 'size': 2}
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id: 121169387
{'aut_label': '792A1', 'centralizer': '2.b1.a1', 'counter': 335, 'group_counter': 63, 'group_order': 1584, 'label': '792A181', 'order': 792, 'powers': [275, 204, 314, 79], 'representative': 362, 'size': 2}
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id: 121169388
{'aut_label': '792A1', 'centralizer': '2.b1.a1', 'counter': 336, 'group_counter': 63, 'group_order': 1584, 'label': '792A185', 'order': 792, 'powers': [276, 203, 320, 78], 'representative': 370, 'size': 2}
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id: 121169389
{'aut_label': '792A1', 'centralizer': '2.b1.a1', 'counter': 337, 'group_counter': 63, 'group_order': 1584, 'label': '792A191', 'order': 792, 'powers': [277, 202, 329, 76], 'representative': 1202, 'size': 2}
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id: 121169390
{'aut_label': '792A1', 'centralizer': '2.b1.a1', 'counter': 338, 'group_counter': 63, 'group_order': 1584, 'label': '792A193', 'order': 792, 'powers': [278, 201, 332, 75], 'representative': 386, 'size': 2}
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id: 121169391
{'aut_label': '792A1', 'centralizer': '2.b1.a1', 'counter': 339, 'group_counter': 63, 'group_order': 1584, 'label': '792A197', 'order': 792, 'powers': [279, 200, 338, 74], 'representative': 394, 'size': 2}
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id: 121169393
{'aut_label': '792A1', 'centralizer': '2.b1.a1', 'counter': 340, 'group_counter': 63, 'group_order': 1584, 'label': '792A199', 'order': 792, 'powers': [279, 199, 341, 73], 'representative': 1186, 'size': 2}
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id: 121169394
{'aut_label': '792A1', 'centralizer': '2.b1.a1', 'counter': 341, 'group_counter': 63, 'group_order': 1584, 'label': '792A203', 'order': 792, 'powers': [278, 198, 347, 72], 'representative': 1178, 'size': 2}
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id: 121169395
{'aut_label': '792A1', 'centralizer': '2.b1.a1', 'counter': 342, 'group_counter': 63, 'group_order': 1584, 'label': '792A205', 'order': 792, 'powers': [277, 197, 350, 71], 'representative': 1174, 'size': 2}
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id: 121169396
{'aut_label': '792A1', 'centralizer': '2.b1.a1', 'counter': 343, 'group_counter': 63, 'group_order': 1584, 'label': '792A211', 'order': 792, 'powers': [276, 196, 359, 69], 'representative': 1162, 'size': 2}
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id: 121169397
{'aut_label': '792A1', 'centralizer': '2.b1.a1', 'counter': 344, 'group_counter': 63, 'group_order': 1584, 'label': '792A215', 'order': 792, 'powers': [275, 195, 365, 68], 'representative': 1154, 'size': 2}
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id: 121169398
{'aut_label': '792A1', 'centralizer': '2.b1.a1', 'counter': 345, 'group_counter': 63, 'group_order': 1584, 'label': '792A217', 'order': 792, 'powers': [274, 194, 368, 68], 'representative': 434, 'size': 2}
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id: 121169399
{'aut_label': '792A1', 'centralizer': '2.b1.a1', 'counter': 346, 'group_counter': 63, 'group_order': 1584, 'label': '792A221', 'order': 792, 'powers': [273, 193, 375, 69], 'representative': 442, 'size': 2}
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id: 121169400
{'aut_label': '792A1', 'centralizer': '2.b1.a1', 'counter': 347, 'group_counter': 63, 'group_order': 1584, 'label': '792A223', 'order': 792, 'powers': [272, 192, 377, 70], 'representative': 446, 'size': 2}
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id: 121169401
{'aut_label': '792A1', 'centralizer': '2.b1.a1', 'counter': 348, 'group_counter': 63, 'group_order': 1584, 'label': '792A227', 'order': 792, 'powers': [271, 191, 383, 71], 'representative': 454, 'size': 2}
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id: 121169402
{'aut_label': '792A1', 'centralizer': '2.b1.a1', 'counter': 349, 'group_counter': 63, 'group_order': 1584, 'label': '792A229', 'order': 792, 'powers': [270, 190, 386, 72], 'representative': 458, 'size': 2}
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id: 121169404
{'aut_label': '792A1', 'centralizer': '2.b1.a1', 'counter': 350, 'group_counter': 63, 'group_order': 1584, 'label': '792A233', 'order': 792, 'powers': [269, 189, 393, 73], 'representative': 466, 'size': 2}
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id: 121169405
{'aut_label': '792A1', 'centralizer': '2.b1.a1', 'counter': 351, 'group_counter': 63, 'group_order': 1584, 'label': '792A235', 'order': 792, 'powers': [268, 188, 396, 74], 'representative': 470, 'size': 2}
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id: 121169406
{'aut_label': '792A1', 'centralizer': '2.b1.a1', 'counter': 352, 'group_counter': 63, 'group_order': 1584, 'label': '792A239', 'order': 792, 'powers': [267, 187, 397, 75], 'representative': 1106, 'size': 2}
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id: 121169407
{'aut_label': '792A1', 'centralizer': '2.b1.a1', 'counter': 353, 'group_counter': 63, 'group_order': 1584, 'label': '792A241', 'order': 792, 'powers': [266, 186, 395, 76], 'representative': 482, 'size': 2}
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id: 121169408
{'aut_label': '792A1', 'centralizer': '2.b1.a1', 'counter': 354, 'group_counter': 63, 'group_order': 1584, 'label': '792A245', 'order': 792, 'powers': [265, 185, 388, 77], 'representative': 490, 'size': 2}
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id: 121169409
{'aut_label': '792A1', 'centralizer': '2.b1.a1', 'counter': 355, 'group_counter': 63, 'group_order': 1584, 'label': '792A247', 'order': 792, 'powers': [264, 184, 385, 78], 'representative': 1090, 'size': 2}
-
id: 121169410
{'aut_label': '792A1', 'centralizer': '2.b1.a1', 'counter': 356, 'group_counter': 63, 'group_order': 1584, 'label': '792A251', 'order': 792, 'powers': [263, 183, 379, 79], 'representative': 502, 'size': 2}
-
id: 121169411
{'aut_label': '792A1', 'centralizer': '2.b1.a1', 'counter': 357, 'group_counter': 63, 'group_order': 1584, 'label': '792A257', 'order': 792, 'powers': [262, 182, 370, 78], 'representative': 514, 'size': 2}
-
id: 121169412
{'aut_label': '792A1', 'centralizer': '2.b1.a1', 'counter': 358, 'group_counter': 63, 'group_order': 1584, 'label': '792A259', 'order': 792, 'powers': [261, 181, 367, 77], 'representative': 1066, 'size': 2}
-
id: 121169413
{'aut_label': '792A1', 'centralizer': '2.b1.a1', 'counter': 359, 'group_counter': 63, 'group_order': 1584, 'label': '792A263', 'order': 792, 'powers': [260, 180, 361, 76], 'representative': 1058, 'size': 2}
-
id: 121169415
{'aut_label': '792A1', 'centralizer': '2.b1.a1', 'counter': 360, 'group_counter': 63, 'group_order': 1584, 'label': '792A265', 'order': 792, 'powers': [259, 180, 358, 75], 'representative': 530, 'size': 2}
-
id: 121169416
{'aut_label': '792A1', 'centralizer': '2.b1.a1', 'counter': 361, 'group_counter': 63, 'group_order': 1584, 'label': '792A269', 'order': 792, 'powers': [258, 181, 352, 74], 'representative': 538, 'size': 2}
-
id: 121169417
{'aut_label': '792A1', 'centralizer': '2.b1.a1', 'counter': 362, 'group_counter': 63, 'group_order': 1584, 'label': '792A271', 'order': 792, 'powers': [257, 182, 349, 73], 'representative': 1042, 'size': 2}
-
id: 121169418
{'aut_label': '792A1', 'centralizer': '2.b1.a1', 'counter': 363, 'group_counter': 63, 'group_order': 1584, 'label': '792A277', 'order': 792, 'powers': [256, 183, 340, 71], 'representative': 1030, 'size': 2}
-
id: 121169419
{'aut_label': '792A1', 'centralizer': '2.b1.a1', 'counter': 364, 'group_counter': 63, 'group_order': 1584, 'label': '792A281', 'order': 792, 'powers': [255, 184, 334, 70], 'representative': 562, 'size': 2}
-
id: 121169420
{'aut_label': '792A1', 'centralizer': '2.b1.a1', 'counter': 365, 'group_counter': 63, 'group_order': 1584, 'label': '792A283', 'order': 792, 'powers': [254, 185, 331, 69], 'representative': 1018, 'size': 2}
-
id: 121169421
{'aut_label': '792A1', 'centralizer': '2.b1.a1', 'counter': 366, 'group_counter': 63, 'group_order': 1584, 'label': '792A287', 'order': 792, 'powers': [253, 186, 324, 68], 'representative': 1010, 'size': 2}
-
id: 121169422
{'aut_label': '792A1', 'centralizer': '2.b1.a1', 'counter': 367, 'group_counter': 63, 'group_order': 1584, 'label': '792A289', 'order': 792, 'powers': [252, 187, 322, 68], 'representative': 578, 'size': 2}
-
id: 121169423
{'aut_label': '792A1', 'centralizer': '2.b1.a1', 'counter': 368, 'group_counter': 63, 'group_order': 1584, 'label': '792A293', 'order': 792, 'powers': [251, 188, 316, 69], 'representative': 586, 'size': 2}
-
id: 121169424
{'aut_label': '792A1', 'centralizer': '2.b1.a1', 'counter': 369, 'group_counter': 63, 'group_order': 1584, 'label': '792A295', 'order': 792, 'powers': [250, 189, 313, 70], 'representative': 590, 'size': 2}
-
id: 121169426
{'aut_label': '792A1', 'centralizer': '2.b1.a1', 'counter': 370, 'group_counter': 63, 'group_order': 1584, 'label': '792A299', 'order': 792, 'powers': [249, 190, 306, 71], 'representative': 598, 'size': 2}
-
id: 121169427
{'aut_label': '792A1', 'centralizer': '2.b1.a1', 'counter': 371, 'group_counter': 63, 'group_order': 1584, 'label': '792A301', 'order': 792, 'powers': [248, 191, 303, 72], 'representative': 602, 'size': 2}
-
id: 121169428
{'aut_label': '792A1', 'centralizer': '2.b1.a1', 'counter': 372, 'group_counter': 63, 'group_order': 1584, 'label': '792A305', 'order': 792, 'powers': [247, 192, 297, 73], 'representative': 610, 'size': 2}
-
id: 121169429
{'aut_label': '792A1', 'centralizer': '2.b1.a1', 'counter': 373, 'group_counter': 63, 'group_order': 1584, 'label': '792A307', 'order': 792, 'powers': [246, 193, 295, 74], 'representative': 614, 'size': 2}
-
id: 121169430
{'aut_label': '792A1', 'centralizer': '2.b1.a1', 'counter': 374, 'group_counter': 63, 'group_order': 1584, 'label': '792A311', 'order': 792, 'powers': [245, 194, 288, 75], 'representative': 962, 'size': 2}
-
id: 121169431
{'aut_label': '792A1', 'centralizer': '2.b1.a1', 'counter': 375, 'group_counter': 63, 'group_order': 1584, 'label': '792A313', 'order': 792, 'powers': [244, 195, 285, 76], 'representative': 626, 'size': 2}
-
id: 121169432
{'aut_label': '792A1', 'centralizer': '2.b1.a1', 'counter': 376, 'group_counter': 63, 'group_order': 1584, 'label': '792A317', 'order': 792, 'powers': [243, 196, 280, 77], 'representative': 634, 'size': 2}
-
id: 121169433
{'aut_label': '792A1', 'centralizer': '2.b1.a1', 'counter': 377, 'group_counter': 63, 'group_order': 1584, 'label': '792A323', 'order': 792, 'powers': [242, 197, 289, 79], 'representative': 646, 'size': 2}
-
id: 121169434
{'aut_label': '792A1', 'centralizer': '2.b1.a1', 'counter': 378, 'group_counter': 63, 'group_order': 1584, 'label': '792A325', 'order': 792, 'powers': [241, 198, 292, 79], 'representative': 650, 'size': 2}
-
id: 121169435
{'aut_label': '792A1', 'centralizer': '2.b1.a1', 'counter': 379, 'group_counter': 63, 'group_order': 1584, 'label': '792A329', 'order': 792, 'powers': [240, 199, 298, 78], 'representative': 658, 'size': 2}
-
id: 121169437
{'aut_label': '792A1', 'centralizer': '2.b1.a1', 'counter': 380, 'group_counter': 63, 'group_order': 1584, 'label': '792A331', 'order': 792, 'powers': [239, 200, 301, 77], 'representative': 922, 'size': 2}
-
id: 121169438
{'aut_label': '792A1', 'centralizer': '2.b1.a1', 'counter': 381, 'group_counter': 63, 'group_order': 1584, 'label': '792A335', 'order': 792, 'powers': [238, 201, 307, 76], 'representative': 914, 'size': 2}
-
id: 121169439
{'aut_label': '792A1', 'centralizer': '2.b1.a1', 'counter': 382, 'group_counter': 63, 'group_order': 1584, 'label': '792A337', 'order': 792, 'powers': [237, 202, 310, 75], 'representative': 674, 'size': 2}
-
id: 121169440
{'aut_label': '792A1', 'centralizer': '2.b1.a1', 'counter': 383, 'group_counter': 63, 'group_order': 1584, 'label': '792A343', 'order': 792, 'powers': [236, 203, 319, 73], 'representative': 898, 'size': 2}
-
id: 121169441
{'aut_label': '792A1', 'centralizer': '2.b1.a1', 'counter': 384, 'group_counter': 63, 'group_order': 1584, 'label': '792A347', 'order': 792, 'powers': [235, 204, 325, 72], 'representative': 890, 'size': 2}
-
id: 121169442
{'aut_label': '792A1', 'centralizer': '2.b1.a1', 'counter': 385, 'group_counter': 63, 'group_order': 1584, 'label': '792A349', 'order': 792, 'powers': [234, 205, 328, 71], 'representative': 886, 'size': 2}
-
id: 121169443
{'aut_label': '792A1', 'centralizer': '2.b1.a1', 'counter': 386, 'group_counter': 63, 'group_order': 1584, 'label': '792A353', 'order': 792, 'powers': [233, 206, 335, 70], 'representative': 706, 'size': 2}
-
id: 121169444
{'aut_label': '792A1', 'centralizer': '2.b1.a1', 'counter': 387, 'group_counter': 63, 'group_order': 1584, 'label': '792A355', 'order': 792, 'powers': [232, 207, 337, 69], 'representative': 874, 'size': 2}
-
id: 121169445
{'aut_label': '792A1', 'centralizer': '2.b1.a1', 'counter': 388, 'group_counter': 63, 'group_order': 1584, 'label': '792A359', 'order': 792, 'powers': [231, 208, 343, 68], 'representative': 866, 'size': 2}
-
id: 121169446
{'aut_label': '792A1', 'centralizer': '2.b1.a1', 'counter': 389, 'group_counter': 63, 'group_order': 1584, 'label': '792A361', 'order': 792, 'powers': [230, 209, 346, 68], 'representative': 722, 'size': 2}
-
id: 121169448
{'aut_label': '792A1', 'centralizer': '2.b1.a1', 'counter': 390, 'group_counter': 63, 'group_order': 1584, 'label': '792A365', 'order': 792, 'powers': [229, 210, 353, 69], 'representative': 730, 'size': 2}
-
id: 121169449
{'aut_label': '792A1', 'centralizer': '2.b1.a1', 'counter': 391, 'group_counter': 63, 'group_order': 1584, 'label': '792A367', 'order': 792, 'powers': [228, 211, 356, 70], 'representative': 734, 'size': 2}
-
id: 121169450
{'aut_label': '792A1', 'centralizer': '2.b1.a1', 'counter': 392, 'group_counter': 63, 'group_order': 1584, 'label': '792A371', 'order': 792, 'powers': [227, 212, 362, 71], 'representative': 742, 'size': 2}
-
id: 121169451
{'aut_label': '792A1', 'centralizer': '2.b1.a1', 'counter': 393, 'group_counter': 63, 'group_order': 1584, 'label': '792A373', 'order': 792, 'powers': [226, 213, 364, 72], 'representative': 746, 'size': 2}
-
id: 121169452
{'aut_label': '792A1', 'centralizer': '2.b1.a1', 'counter': 394, 'group_counter': 63, 'group_order': 1584, 'label': '792A377', 'order': 792, 'powers': [225, 214, 371, 73], 'representative': 754, 'size': 2}
-
id: 121169453
{'aut_label': '792A1', 'centralizer': '2.b1.a1', 'counter': 395, 'group_counter': 63, 'group_order': 1584, 'label': '792A379', 'order': 792, 'powers': [224, 215, 374, 74], 'representative': 826, 'size': 2}
-
id: 121169454
{'aut_label': '792A1', 'centralizer': '2.b1.a1', 'counter': 396, 'group_counter': 63, 'group_order': 1584, 'label': '792A383', 'order': 792, 'powers': [223, 216, 380, 75], 'representative': 818, 'size': 2}
-
id: 121169455
{'aut_label': '792A1', 'centralizer': '2.b1.a1', 'counter': 397, 'group_counter': 63, 'group_order': 1584, 'label': '792A389', 'order': 792, 'powers': [222, 217, 389, 77], 'representative': 778, 'size': 2}
-
id: 121169456
{'aut_label': '792A1', 'centralizer': '2.b1.a1', 'counter': 398, 'group_counter': 63, 'group_order': 1584, 'label': '792A391', 'order': 792, 'powers': [221, 218, 392, 78], 'representative': 802, 'size': 2}
-
id: 121169457
{'aut_label': '792A1', 'centralizer': '2.b1.a1', 'counter': 399, 'group_counter': 63, 'group_order': 1584, 'label': '792A395', 'order': 792, 'powers': [220, 219, 398, 79], 'representative': 794, 'size': 2}
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gps_qchar • Show schema
Hide schema
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id: 6799902
{'cdim': 1, 'counter': 1, 'faithful': False, 'group': '1584.63', 'group_order': 1584, 'image': None, 'label': '1584.63.1a', 'multiplicity': 1, 'nt': [1, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
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id: 6799913
{'cdim': 1, 'counter': 2, 'faithful': False, 'group': '1584.63', 'group_order': 1584, 'image': None, 'label': '1584.63.1b', '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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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: 6799921
{'cdim': 1, 'counter': 3, 'faithful': False, 'group': '1584.63', 'group_order': 1584, 'image': None, 'label': '1584.63.1c', '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, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -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: 6799922
{'cdim': 1, 'counter': 4, 'faithful': False, 'group': '1584.63', 'group_order': 1584, 'image': None, 'label': '1584.63.1d', '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, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -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: 6799923
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id: 6799924
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id: 6799925
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id: 6799926
{'cdim': 2, 'counter': 8, 'faithful': False, 'group': '1584.63', 'group_order': 1584, 'image': None, 'label': '1584.63.2d', 'multiplicity': 2, 'nt': [12, 12], 'qdim': 4, 'qvalues': [4, 4, 4, -4, 0, 0, 4, 0, 0, -2, -2, -2, 4, 4, 4, 4, 4, -4, -4, -2, -2, -2, 4, 4, 4, 4, 4, 0, 0, 0, 0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 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, -4, -4, -4, -4, -4, -4, -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, -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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
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id: 6799927
{'cdim': 2, 'counter': 9, 'faithful': False, 'group': '1584.63', 'group_order': 1584, 'image': None, 'label': '1584.63.2e', 'multiplicity': 2, 'nt': [16, 14], 'qdim': 4, 'qvalues': [4, -4, 4, 0, 0, 0, -4, 0, 0, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, -4, -4, -4, -4, -4, -4, -4, -4, 0, 0, 0, 0, 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, -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, 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, -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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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': 2}
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id: 6799903
{'cdim': 2, 'counter': 10, 'faithful': False, 'group': '1584.63', 'group_order': 1584, 'image': None, 'label': '1584.63.2f', 'multiplicity': 3, 'nt': [9, 3], 'qdim': 6, 'qvalues': [6, 6, -3, 6, 0, 0, -3, 6, 6, 0, 0, 0, 6, 6, 6, 6, 6, -3, -3, 0, 0, 0, 6, 6, 6, 6, 6, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 6799904
{'cdim': 2, 'counter': 11, 'faithful': False, 'group': '1584.63', 'group_order': 1584, 'image': None, 'label': '1584.63.2g', 'multiplicity': 3, 'nt': [18, 13], 'qdim': 6, 'qvalues': [6, 6, -3, 6, 0, 0, -3, -6, -6, 0, 0, 0, 6, 6, 6, 6, 6, -3, -3, 0, 0, 0, 6, 6, 6, 6, 6, 3, 3, 3, 3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 6799905
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id: 6799914
{'cdim': 2, 'counter': 20, 'faithful': False, 'group': '1584.63', 'group_order': 1584, 'image': None, 'label': '1584.63.2p', 'multiplicity': 20, 'nt': [132, 0], 'qdim': 40, 'qvalues': [40, 40, 40, -40, 0, 0, 40, 0, 0, -20, -20, -20, -4, -4, -4, -4, -4, -40, -40, -20, -20, -20, -4, -4, -4, -4, -4, 0, 0, 0, 0, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, 20, 20, 20, 20, 20, 20, 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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 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, 2, 2, 2, 2, 2, 2, 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, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
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id: 6799915
{'cdim': 2, 'counter': 21, 'faithful': False, 'group': '1584.63', 'group_order': 1584, 'image': None, 'label': '1584.63.2q', 'multiplicity': 20, 'nt': [176, 0], 'qdim': 40, 'qvalues': [40, -40, 40, 0, 0, 0, -40, 0, 0, 40, 40, 40, -4, -4, -4, -4, -4, 0, 0, -40, -40, -40, 4, 4, 4, 4, 4, 0, 0, 0, 0, -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, 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, -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, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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': 2}
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id: 6799916
{'cdim': 2, 'counter': 22, 'faithful': False, 'group': '1584.63', 'group_order': 1584, 'image': None, 'label': '1584.63.2r', 'multiplicity': 30, 'nt': [99, 0], 'qdim': 60, 'qvalues': [60, 60, -30, 60, 0, 0, -30, 60, 60, 0, 0, 0, -6, -6, -6, -6, -6, -30, -30, 0, 0, 0, -6, -6, -6, -6, -6, -30, -30, -30, -30, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 6799917
{'cdim': 2, 'counter': 23, 'faithful': False, 'group': '1584.63', 'group_order': 1584, 'image': None, 'label': '1584.63.2s', 'multiplicity': 30, 'nt': [198, 0], 'qdim': 60, 'qvalues': [60, 60, -30, 60, 0, 0, -30, -60, -60, 0, 0, 0, -6, -6, -6, -6, -6, -30, -30, 0, 0, 0, -6, -6, -6, -6, -6, 30, 30, 30, 30, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 6799918
{'cdim': 2, 'counter': 24, 'faithful': False, 'group': '1584.63', 'group_order': 1584, 'image': None, 'label': '1584.63.2t', 'multiplicity': 40, 'nt': [528, 0], 'qdim': 80, 'qvalues': [80, -80, 80, 0, 0, 0, -80, 0, 0, -40, -40, -40, -8, -8, -8, -8, -8, 0, 0, 40, 40, 40, 8, 8, 8, 8, 8, 0, 0, 0, 0, -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, 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, 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, -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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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': 2}
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id: 6799919
{'cdim': 2, 'counter': 25, 'faithful': False, 'group': '1584.63', 'group_order': 1584, 'image': None, 'label': '1584.63.2u', 'multiplicity': 60, 'nt': [396, 0], 'qdim': 120, 'qvalues': [120, 120, -60, -120, 0, 0, -60, 0, 0, 0, 0, 0, -12, -12, -12, -12, -12, 60, 60, 0, 0, 0, -12, -12, -12, -12, -12, 0, 0, 0, 0, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 6799920
{'cdim': 2, 'counter': 26, 'faithful': True, 'group': '1584.63', 'group_order': 1584, 'image': None, 'label': '1584.63.2v', 'multiplicity': 120, 'nt': [1584, 0], 'qdim': 240, 'qvalues': [240, -240, -120, 0, 0, 0, 120, 0, 0, 0, 0, 0, -24, -24, -24, -24, -24, 0, 0, 0, 0, 0, 24, 24, 24, 24, 24, 0, 0, 0, 0, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -12, -12, -12, -12, -12, -12, -12, -12, -12, -12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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': 2}
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id: 15453767
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id: 15453878
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id: 15453989
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id: 15454111
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id: 15454122
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id: 15454133
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id: 15454144
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id: 15454155
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id: 15453768
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id: 15453779
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id: 15453790
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id: 15453801
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id: 15453812
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id: 15453823
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id: 15453834
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id: 15453845
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id: 15453856
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id: 15453867
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id: 15453879
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id: 15453890
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id: 15453901
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id: 15453912
{'center': '22.a1.a1', 'center_index': 22, 'center_order': 72, 'counter': 23, 'cyclotomic_n': 11, 'dim': 2, 'faithful': False, 'field': [-1, 3, 3, -4, -1, 1], 'group': '1584.63', 'group_counter': 63, 'group_order': 1584, 'image': None, 'image_isoclass': '22.1', 'image_order': 22, 'indicator': 1, 'kernel': '22.a1.a1', 'kernel_order': 72, 'label': '1584.63.2i2', 'nt': [11, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], 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id: 15453923
{'center': '22.a1.a1', 'center_index': 22, 'center_order': 72, 'counter': 24, 'cyclotomic_n': 11, 'dim': 2, 'faithful': False, 'field': [-1, 3, 3, -4, -1, 1], 'group': '1584.63', 'group_counter': 63, 'group_order': 1584, 'image': None, 'image_isoclass': '22.1', 'image_order': 22, 'indicator': 1, 'kernel': '22.a1.a1', 'kernel_order': 72, 'label': '1584.63.2i3', 'nt': [11, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], 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id: 15453934
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id: 15453945
{'center': '22.a1.a1', 'center_index': 22, 'center_order': 72, 'counter': 26, 'cyclotomic_n': 11, 'dim': 2, 'faithful': False, 'field': [-1, 3, 3, -4, -1, 1], 'group': '1584.63', 'group_counter': 63, 'group_order': 1584, 'image': None, 'image_isoclass': '22.1', 'image_order': 22, 'indicator': 1, 'kernel': '22.a1.a1', 'kernel_order': 72, 'label': '1584.63.2i5', 'nt': [11, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], 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id: 15453956
{'center': '22.a1.a1', 'center_index': 22, 'center_order': 72, 'counter': 27, 'cyclotomic_n': 11, 'dim': 2, 'faithful': False, 'field': [-1, 3, 3, -4, -1, 1], 'group': '1584.63', 'group_counter': 63, 'group_order': 1584, 'image': None, 'image_isoclass': '44.3', 'image_order': 44, 'indicator': 1, 'kernel': '44.a1.a1', 'kernel_order': 36, 'label': '1584.63.2j1', 'nt': [22, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 3], [1, 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id: 15453967
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id: 15453978
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id: 15453990
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id: 15454001
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id: 15454012
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id: 15454023
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id: 15454034
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id: 15454045
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id: 15454056
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id: 15454067
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id: 15454078
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id: 15454108
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id: 15454089
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id: 15454101
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id: 15454102
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id: 15454103
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id: 15454104
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id: 15454105
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id: 15454106
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id: 15454107
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id: 15454109
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id: 15454119
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id: 15454110
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id: 15454112
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id: 15454113
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id: 15454114
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id: 15454115
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id: 15454116
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id: 15454117
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id: 15454118
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id: 15454120
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id: 15454130
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id: 15454121
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id: 15454123
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id: 15454124
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id: 15454125
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id: 15454126
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id: 15454127
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id: 15454128
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id: 15454129
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id: 15454131
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id: 15454141
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id: 15454142
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id: 15454143
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id: 15454132
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id: 15454134
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id: 15454135
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id: 15454136
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id: 15454137
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id: 15454138
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id: 15454139
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id: 15454140
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id: 15454145
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id: 15454154
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id: 15454156
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id: 15454157
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id: 15454158
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id: 15454159
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id: 15454160
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id: 15454161
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id: 15454162
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id: 15454163
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id: 15454164
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id: 15454146
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-
id: 15454165
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id: 15454147
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id: 15454148
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-
id: 15454149
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id: 15454150
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id: 15454151
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id: 15454152
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id: 15454153
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id: 15453769
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id: 15453778
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id: 15453780
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id: 15453781
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id: 15453782
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id: 15453783
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id: 15453784
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id: 15453785
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id: 15453786
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id: 15453787
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id: 15453788
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id: 15453770
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id: 15453789
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-
id: 15453771
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id: 15453772
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id: 15453773
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id: 15453774
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id: 15453775
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id: 15453776
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id: 15453777
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id: 15453791
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id: 15453800
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-
id: 15453802
{'center': '198.a1.a1', 'center_index': 198, 'center_order': 8, 'counter': 130, 'cyclotomic_n': 99, 'dim': 2, 'faithful': False, 'field': [1, 36, 108, -1173, -3555, 9423, 29442, -36027, -117504, 79936, 275835, -113139, -419353, 107592, 435915, -70720, -319752, 32508, 168244, -10416, -63756, 2278, 17250, -324, -3250, 27, 405, -1, -30, 0, 1], 'group': '1584.63', 'group_counter': 63, 'group_order': 1584, 'image': None, 'image_isoclass': '198.3', 'image_order': 198, 'indicator': 1, 'kernel': '198.a1.a1', 'kernel_order': 8, 'label': '1584.63.2r11', 'nt': [99, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[1, 22], [1, -22]], [[1, 44], [1, -44]], [[1, 11], [1, -11]], [[1, 45], [1, -45]], [[1, 36], [1, -36]], [[1, 18], [1, -18]], [[1, 9], [1, -9]], [[1, 27], [1, -27]], [[-1, 0]], [[-1, 0]], [[1, 11], [1, -11]], [[1, 44], [1, -44]], [[1, 22], [1, -22]], [[1, 27], [1, -27]], [[1, 45], [1, -45]], [[1, 18], [1, 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id: 15453803
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id: 15453804
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id: 15453805
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id: 15453806
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id: 15453807
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id: 15453808
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id: 15453809
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id: 15453810
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id: 15453792
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id: 15453811
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id: 15453813
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id: 15453814
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id: 15453815
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id: 15453816
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id: 15453817
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id: 15453818
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id: 15453819
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id: 15453820
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id: 15453821
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id: 15453793
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id: 15453822
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id: 15453794
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id: 15453795
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id: 15453796
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id: 15453797
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id: 15453798
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id: 15453799
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id: 15453824
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id: 15453833
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id: 15453835
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id: 15453836
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id: 15453837
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id: 15453838
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id: 15453839
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id: 15453840
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id: 15453841
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id: 15453842
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id: 15453843
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id: 15453825
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id: 15453844
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id: 15453846
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id: 15453847
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id: 15453848
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id: 15453849
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id: 15453850
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id: 15453851
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id: 15453852
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id: 15453853
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id: 15453854
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id: 15453826
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id: 15453855
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id: 15453827
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id: 15453828
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id: 15453829
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id: 15453830
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id: 15453831
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-
id: 15453832
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id: 15453857
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id: 15453866
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-
id: 15453868
{'center': '264.a1.a1', 'center_index': 264, 'center_order': 6, 'counter': 190, 'cyclotomic_n': 264, 'dim': 2, 'faithful': False, 'field': [1, 0, -480, 0, 17560, 0, -240976, 0, 1662386, 0, -6857500, 0, 18713229, 0, -35964944, 0, 50713585, 0, -53927016, 0, 44043506, 0, -27947920, 0, 13860054, 0, -5375528, 0, 1622694, 0, -376960, 0, 66044, 0, -8436, 0, 741, 0, -40, 0, 1], 'group': '1584.63', 'group_counter': 63, 'group_order': 1584, 'image': None, 'image_isoclass': '528.67', 'image_order': 528, 'indicator': -1, 'kernel': '528.a1.a1', 'kernel_order': 3, 'label': '1584.63.2t11', 'nt': [528, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-1, 33], [-1, -33]], [[1, 33], [1, -33]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 60], [-1, -60]], [[1, 48], [1, -48]], [[1, 24], [1, -24]], [[-1, 12], [-1, -12]], [[-1, 36], [-1, -36]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 36], [1, -36]], [[1, 60], [1, -60]], [[-1, 24], [-1, 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id: 15453869
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id: 15453870
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-
id: 15453871
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id: 15453872
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id: 15453873
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-
id: 15453874
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id: 15453875
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id: 15453876
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-
id: 15453858
{'center': '264.a1.a1', 'center_index': 264, 'center_order': 6, 'counter': 181, 'cyclotomic_n': 264, 'dim': 2, 'faithful': False, 'field': [1, 0, -480, 0, 17560, 0, -240976, 0, 1662386, 0, -6857500, 0, 18713229, 0, -35964944, 0, 50713585, 0, -53927016, 0, 44043506, 0, -27947920, 0, 13860054, 0, -5375528, 0, 1622694, 0, -376960, 0, 66044, 0, -8436, 0, 741, 0, -40, 0, 1], 'group': '1584.63', 'group_counter': 63, 'group_order': 1584, 'image': None, 'image_isoclass': '528.67', 'image_order': 528, 'indicator': -1, 'kernel': '528.a1.a1', 'kernel_order': 3, 'label': '1584.63.2t2', 'nt': [528, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-1, 33], [-1, -33]], [[1, 33], [1, -33]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 12], [-1, -12]], [[-1, 36], [-1, -36]], [[1, 48], [1, -48]], [[1, 24], [1, -24]], [[-1, 60], [-1, -60]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 60], [1, -60]], [[1, 12], [1, -12]], [[-1, 48], [-1, 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id: 15453877
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id: 15453880
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-
id: 15453881
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id: 15453882
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id: 15453883
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-
id: 15453884
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id: 15453885
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id: 15453886
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id: 15453887
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id: 15453888
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id: 15453859
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-
id: 15453889
{'center': '264.a1.a1', 'center_index': 264, 'center_order': 6, 'counter': 209, 'cyclotomic_n': 264, 'dim': 2, 'faithful': False, 'field': [1, 0, -480, 0, 17560, 0, -240976, 0, 1662386, 0, -6857500, 0, 18713229, 0, -35964944, 0, 50713585, 0, -53927016, 0, 44043506, 0, -27947920, 0, 13860054, 0, -5375528, 0, 1622694, 0, -376960, 0, 66044, 0, -8436, 0, 741, 0, -40, 0, 1], 'group': '1584.63', 'group_counter': 63, 'group_order': 1584, 'image': None, 'image_isoclass': '528.67', 'image_order': 528, 'indicator': -1, 'kernel': '528.a1.a1', 'kernel_order': 3, 'label': '1584.63.2t30', 'nt': [528, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[1, 33], [1, -33]], [[-1, 33], [-1, -33]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 60], [-1, -60]], [[1, 48], [1, -48]], [[1, 24], [1, -24]], [[-1, 12], [-1, -12]], [[-1, 36], [-1, -36]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 36], [1, -36]], [[1, 60], [1, -60]], [[-1, 24], [-1, 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id: 15453891
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id: 15453892
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-
id: 15453893
{'center': '264.a1.a1', 'center_index': 264, 'center_order': 6, 'counter': 212, 'cyclotomic_n': 264, 'dim': 2, 'faithful': False, 'field': [1, 0, -480, 0, 17560, 0, -240976, 0, 1662386, 0, -6857500, 0, 18713229, 0, -35964944, 0, 50713585, 0, -53927016, 0, 44043506, 0, -27947920, 0, 13860054, 0, -5375528, 0, 1622694, 0, -376960, 0, 66044, 0, -8436, 0, 741, 0, -40, 0, 1], 'group': '1584.63', 'group_counter': 63, 'group_order': 1584, 'image': None, 'image_isoclass': '528.67', 'image_order': 528, 'indicator': -1, 'kernel': '528.a1.a1', 'kernel_order': 3, 'label': '1584.63.2t33', 'nt': [528, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[1, 33], [1, -33]], [[-1, 33], [-1, -33]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 48], [1, -48]], [[-1, 12], [-1, -12]], [[-1, 60], [-1, -60]], [[-1, 36], [-1, -36]], [[1, 24], [1, -24]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 24], [-1, -24]], [[-1, 48], [-1, -48]], [[1, 60], [1, 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id: 15453894
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id: 15453895
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-
id: 15453896
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id: 15453897
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id: 15453898
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id: 15453899
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id: 15453860
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id: 15453900
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id: 15453861
{'center': '264.a1.a1', 'center_index': 264, 'center_order': 6, 'counter': 184, 'cyclotomic_n': 264, 'dim': 2, 'faithful': False, 'field': [1, 0, -480, 0, 17560, 0, -240976, 0, 1662386, 0, -6857500, 0, 18713229, 0, -35964944, 0, 50713585, 0, -53927016, 0, 44043506, 0, -27947920, 0, 13860054, 0, -5375528, 0, 1622694, 0, -376960, 0, 66044, 0, -8436, 0, 741, 0, -40, 0, 1], 'group': '1584.63', 'group_counter': 63, 'group_order': 1584, 'image': None, 'image_isoclass': '528.67', 'image_order': 528, 'indicator': -1, 'kernel': '528.a1.a1', 'kernel_order': 3, 'label': '1584.63.2t5', 'nt': [528, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-1, 33], [-1, -33]], [[1, 33], [1, -33]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 36], [-1, -36]], [[1, 24], [1, -24]], [[-1, 12], [-1, -12]], [[-1, 60], [-1, -60]], [[1, 48], [1, -48]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 48], [-1, -48]], [[1, 36], [1, -36]], [[1, 12], [1, 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id: 15453862
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id: 15453863
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id: 15453864
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id: 15453865
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id: 15453902
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-
id: 15453911
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id: 15453913
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id: 15453914
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id: 15453915
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id: 15453916
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id: 15453917
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id: 15453918
{'center': '396.a1.a1', 'center_index': 396, 'center_order': 4, 'counter': 235, 'cyclotomic_n': 396, 'dim': 2, 'faithful': False, 'field': [1, 0, -360, 0, 31830, 0, -1094107, 0, 19610019, 0, -212659083, 0, 1528528872, 0, -7746369957, 0, 28942795476, 0, -82439284584, 0, 183667273857, 0, -326521492629, 0, 470519579611, 0, -556374246012, 0, 545048561739, 0, -445607921728, 0, 305660799936, 0, -176542368876, 0, 86022282164, 0, -35370320544, 0, 12254475528, 0, -3565385550, 0, 866211786, 0, -174252876, 0, 28674800, 0, -3793635, 0, 393471, 0, -30799, 0, 1710, 0, -60, 0, 1], 'group': '1584.63', 'group_counter': 63, 'group_order': 1584, 'image': None, 'image_isoclass': '792.25', 'image_order': 792, 'indicator': 1, 'kernel': '792.a1.a1', 'kernel_order': 2, 'label': '1584.63.2u16', 'nt': [396, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-1, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[-1, 22], [-1, -22]], [[1, 44], [1, -44]], [[1, 88], [1, -88]], [[1, 72], [1, 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id: 15453919
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id: 15453920
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id: 15453921
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id: 15453903
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id: 15453922
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id: 15453924
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id: 15453925
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id: 15453926
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id: 15453927
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id: 15453928
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id: 15453929
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id: 15453930
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id: 15453931
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id: 15453932
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id: 15453904
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id: 15453933
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id: 15453935
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id: 15453936
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id: 15453937
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id: 15453938
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id: 15453939
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id: 15453940
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id: 15453941
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id: 15453942
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id: 15453943
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id: 15453905
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id: 15453944
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id: 15453946
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id: 15453947
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id: 15453948
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id: 15453949
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id: 15453950
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id: 15453951
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id: 15453952
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id: 15453953
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id: 15453954
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id: 15453906
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id: 15453955
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id: 15453957
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id: 15453958
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id: 15453959
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id: 15453960
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id: 15453961
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id: 15453962
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id: 15453963
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id: 15453964
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id: 15453965
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id: 15453907
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id: 15453966
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id: 15453908
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id: 15453909
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id: 15453910
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id: 15453968
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id: 15453977
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id: 15454081
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id: 15454082
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id: 15454083
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id: 15454087
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id: 15453979
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id: 15454088
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id: 15454093
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id: 15454094
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id: 15454095
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id: 15453980
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id: 15454099
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id: 15453981
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id: 15453985
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id: 15453986
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id: 15453987
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id: 15453992
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id: 15453993
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id: 15453994
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id: 15453998
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id: 15453999
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id: 15454004
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id: 15454005
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id: 15454006
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id: 15454010
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id: 15453971
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id: 15454011
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id: 15454016
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id: 15454017
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id: 15454018
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id: 15453972
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id: 15454022
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id: 15454024
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id: 15454028
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id: 15454029
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id: 15454030
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id: 15454033
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id: 15454035
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id: 15454036
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id: 15454040
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id: 15454041
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id: 15454042
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id: 15454046
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id: 15454047
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id: 15454048
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id: 15454052
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id: 15454053
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id: 15454054
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id: 15454058
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id: 15454059
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id: 15454060
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id: 15454064
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id: 15454065
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id: 15453976
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id: 15454070
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id: 15454071
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id: 15454072
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id: 15454076
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gps_subgroup_search • Show schema
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id: 76894110
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1584.63', 'ambient_counter': 63, 'ambient_order': 1584, 'ambient_tex': 'C_{99}:Q_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': True, 'core_order': 1584, 'counter': 1, 'cyclic': False, 'direct': True, 'hall': 66, 'label': '1584.63.1.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': False, 'quotient': '1.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 1, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_1', 'simple': False, 'solvable': True, 'special_labels': ['R', 'L0', 'D0', 'C0'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '1584.63', 'subgroup_hash': 63, 'subgroup_order': 1584, 'subgroup_tex': 'C_{99}:Q_{16}', 'supersolvable': True, 'sylow': 0}
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id: 76894121
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1584.63', 'ambient_counter': 63, 'ambient_order': 1584, 'ambient_tex': 'C_{99}:Q_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 792, 'counter': 2, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1584.63.2.a1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': ['C1'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '792.23', 'subgroup_hash': 23, 'subgroup_order': 792, 'subgroup_tex': 'C_{99}:Q_8', 'supersolvable': True, 'sylow': 0}
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id: 76894132
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1584.63', 'ambient_counter': 63, 'ambient_order': 1584, 'ambient_tex': 'C_{99}:Q_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 792, 'counter': 3, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1584.63.2.a1.b1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.a1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '792.23', 'subgroup_hash': 23, 'subgroup_order': 792, 'subgroup_tex': 'C_{99}:Q_8', 'supersolvable': True, 'sylow': 0}
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id: 76894143
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1584.63', 'ambient_counter': 63, 'ambient_order': 1584, 'ambient_tex': 'C_{99}:Q_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 792, 'characteristic': True, 'core_order': 792, 'counter': 4, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1584.63.2.b1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': ['F'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '792.4', 'subgroup_hash': 4, 'subgroup_order': 792, 'subgroup_tex': 'C_{792}', 'supersolvable': True, 'sylow': 0}
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id: 76894154
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1584.63', 'ambient_counter': 63, 'ambient_order': 1584, 'ambient_tex': 'C_{99}:Q_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 264, 'counter': 5, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1584.63.3.a1.a1', 'maximal': True, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '528.67', 'subgroup_hash': 67, 'subgroup_order': 528, 'subgroup_tex': 'C_{33}:Q_{16}', 'supersolvable': True, 'sylow': 0}
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id: 76894160
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1584.63', 'ambient_counter': 63, 'ambient_order': 1584, 'ambient_tex': 'C_{99}:Q_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 792, 'characteristic': True, 'core_order': 396, 'counter': 6, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1584.63.4.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': ['D', 'L1', 'D1', 'C2'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '396.4', 'subgroup_hash': 4, 'subgroup_order': 396, 'subgroup_tex': 'C_{396}', 'supersolvable': True, 'sylow': 0}
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id: 76894161
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1584.63', 'ambient_counter': 63, 'ambient_order': 1584, 'ambient_tex': 'C_{99}:Q_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 198, 'counter': 7, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1584.63.4.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '396.3', 'subgroup_hash': 3, 'subgroup_order': 396, 'subgroup_tex': 'C_{99}:C_4', 'supersolvable': True, 'sylow': 0}
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id: 76894162
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1584.63', 'ambient_counter': 63, 'ambient_order': 1584, 'ambient_tex': 'C_{99}:Q_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 198, 'counter': 8, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1584.63.4.b1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.b1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '396.3', 'subgroup_hash': 3, 'subgroup_order': 396, 'subgroup_tex': 'C_{99}:C_4', 'supersolvable': True, 'sylow': 0}
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id: 76894163
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1584.63', 'ambient_counter': 63, 'ambient_order': 1584, 'ambient_tex': 'C_{99}:Q_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 792, 'characteristic': True, 'core_order': 264, 'counter': 9, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1584.63.6.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '6.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '6.1', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 6, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'S_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '264.4', 'subgroup_hash': 4, 'subgroup_order': 264, 'subgroup_tex': 'C_{264}', 'supersolvable': True, 'sylow': 0}
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id: 76894111
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1584.63', 'ambient_counter': 63, 'ambient_order': 1584, 'ambient_tex': 'C_{99}:Q_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 132, 'counter': 10, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1584.63.6.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '264.23', 'subgroup_hash': 23, 'subgroup_order': 264, 'subgroup_tex': 'C_{33}:Q_8', 'supersolvable': True, 'sylow': 0}
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id: 76894112
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1584.63', 'ambient_counter': 63, 'ambient_order': 1584, 'ambient_tex': 'C_{99}:Q_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 132, 'counter': 11, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1584.63.6.b1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6.b1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '264.23', 'subgroup_hash': 23, 'subgroup_order': 264, 'subgroup_tex': 'C_{33}:Q_8', 'supersolvable': True, 'sylow': 0}
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id: 76894113
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1584.63', 'ambient_counter': 63, 'ambient_order': 1584, 'ambient_tex': 'C_{99}:Q_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 792, 'characteristic': True, 'core_order': 198, 'counter': 12, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1584.63.8.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', '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': ['L2', 'C3'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '198.4', 'subgroup_hash': 4, 'subgroup_order': 198, 'subgroup_tex': 'C_{198}', 'supersolvable': True, 'sylow': 0}
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id: 76894114
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1584.63', 'ambient_counter': 63, 'ambient_order': 1584, 'ambient_tex': 'C_{99}:Q_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 88, 'counter': 13, 'cyclic': False, 'direct': None, 'hall': 22, 'label': '1584.63.9.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '9.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 9, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '176.7', 'subgroup_hash': 7, 'subgroup_order': 176, 'subgroup_tex': 'C_{11}:Q_{16}', 'supersolvable': True, 'sylow': 0}
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id: 76894115
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1584.63', 'ambient_counter': 63, 'ambient_order': 1584, 'ambient_tex': 'C_{99}:Q_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 72, 'counter': 14, 'cyclic': False, 'direct': None, 'hall': 6, 'label': '1584.63.11.a1.a1', 'maximal': True, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '11.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 11, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '144.4', 'subgroup_hash': 4, 'subgroup_order': 144, 'subgroup_tex': 'C_9:Q_{16}', 'supersolvable': True, 'sylow': 0}
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id: 76894116
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1584.63', 'ambient_counter': 63, 'ambient_order': 1584, 'ambient_tex': 'C_{99}:Q_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 792, 'characteristic': True, 'core_order': 132, 'counter': 15, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1584.63.12.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '12.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '12.4', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '132.4', 'subgroup_hash': 4, 'subgroup_order': 132, 'subgroup_tex': 'C_{132}', 'supersolvable': True, 'sylow': 0}
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id: 76894117
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1584.63', 'ambient_counter': 63, 'ambient_order': 1584, 'ambient_tex': 'C_{99}:Q_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 66, 'counter': 16, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1584.63.12.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '132.3', 'subgroup_hash': 3, 'subgroup_order': 132, 'subgroup_tex': 'C_{33}:C_4', 'supersolvable': True, 'sylow': 0}
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id: 76894118
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1584.63', 'ambient_counter': 63, 'ambient_order': 1584, 'ambient_tex': 'C_{99}:Q_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 66, 'counter': 17, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1584.63.12.b1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.b1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '132.3', 'subgroup_hash': 3, 'subgroup_order': 132, 'subgroup_tex': 'C_{33}:C_4', 'supersolvable': True, 'sylow': 0}
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id: 76894119
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1584.63', 'ambient_counter': 63, 'ambient_order': 1584, 'ambient_tex': 'C_{99}:Q_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 792, 'characteristic': True, 'core_order': 99, 'counter': 18, 'cyclic': True, 'direct': False, 'hall': 33, 'label': '1584.63.16.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.9', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 9, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'Q_{16}', 'simple': False, 'solvable': True, 'special_labels': ['L3', 'C4'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '99.1', 'subgroup_hash': 1, 'subgroup_order': 99, 'subgroup_tex': 'C_{99}', 'supersolvable': True, 'sylow': 0}
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id: 76894120
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1584.63', 'ambient_counter': 63, 'ambient_order': 1584, 'ambient_tex': 'C_{99}:Q_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 792, 'characteristic': True, 'core_order': 88, 'counter': 19, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1584.63.18.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '18.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '18.1', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 18, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_9', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '88.2', 'subgroup_hash': 2, 'subgroup_order': 88, 'subgroup_tex': 'C_{88}', 'supersolvable': True, 'sylow': 0}
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id: 76894122
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1584.63', 'ambient_counter': 63, 'ambient_order': 1584, 'ambient_tex': 'C_{99}:Q_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 44, 'counter': 20, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1584.63.18.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 18, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '88.3', 'subgroup_hash': 3, 'subgroup_order': 88, 'subgroup_tex': 'C_{11}:Q_8', 'supersolvable': True, 'sylow': 0}
-
id: 76894123
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1584.63', 'ambient_counter': 63, 'ambient_order': 1584, 'ambient_tex': 'C_{99}:Q_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 44, 'counter': 21, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1584.63.18.b1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.b1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 18, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '88.3', 'subgroup_hash': 3, 'subgroup_order': 88, 'subgroup_tex': 'C_{11}:Q_8', 'supersolvable': True, 'sylow': 0}
-
id: 76894124
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1584.63', 'ambient_counter': 63, 'ambient_order': 1584, 'ambient_tex': 'C_{99}:Q_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 792, 'characteristic': True, 'core_order': 72, 'counter': 22, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1584.63.22.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '22.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '22.1', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 22, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{11}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '72.2', 'subgroup_hash': 2, 'subgroup_order': 72, 'subgroup_tex': 'C_{72}', 'supersolvable': True, 'sylow': 0}
-
id: 76894125
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1584.63', 'ambient_counter': 63, 'ambient_order': 1584, 'ambient_tex': 'C_{99}:Q_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 36, 'counter': 23, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1584.63.22.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '22.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 22, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '72.4', 'subgroup_hash': 4, 'subgroup_order': 72, 'subgroup_tex': 'C_9:Q_8', 'supersolvable': True, 'sylow': 0}
-
id: 76894126
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1584.63', 'ambient_counter': 63, 'ambient_order': 1584, 'ambient_tex': 'C_{99}:Q_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 36, 'counter': 24, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1584.63.22.b1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '22.b1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 22, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '72.4', 'subgroup_hash': 4, 'subgroup_order': 72, 'subgroup_tex': 'C_9:Q_8', 'supersolvable': True, 'sylow': 0}
-
id: 76894127
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1584.63', 'ambient_counter': 63, 'ambient_order': 1584, 'ambient_tex': 'C_{99}:Q_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 792, 'characteristic': True, 'core_order': 66, 'counter': 25, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1584.63.24.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '24.6', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 6, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{12}', 'simple': False, 'solvable': True, 'special_labels': ['S'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '66.4', 'subgroup_hash': 4, 'subgroup_order': 66, 'subgroup_tex': 'C_{66}', 'supersolvable': True, 'sylow': 0}
-
id: 76894128
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1584.63', 'ambient_counter': 63, 'ambient_order': 1584, 'ambient_tex': 'C_{99}:Q_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 24, 'counter': 26, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1584.63.33.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '33.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 33, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.8', 'subgroup_hash': 8, 'subgroup_order': 48, 'subgroup_tex': 'C_3:Q_{16}', 'supersolvable': True, 'sylow': 0}
-
id: 76894129
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1584.63', 'ambient_counter': 63, 'ambient_order': 1584, 'ambient_tex': 'C_{99}:Q_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 792, 'characteristic': True, 'core_order': 44, 'counter': 27, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1584.63.36.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '36.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '36.4', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 36, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{18}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '44.2', 'subgroup_hash': 2, 'subgroup_order': 44, 'subgroup_tex': 'C_{44}', 'supersolvable': True, 'sylow': 0}
-
id: 76894130
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1584.63', 'ambient_counter': 63, 'ambient_order': 1584, 'ambient_tex': 'C_{99}:Q_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 22, 'counter': 28, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1584.63.36.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '44.1', 'subgroup_hash': 1, 'subgroup_order': 44, 'subgroup_tex': 'C_{11}:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 76894131
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1584.63', 'ambient_counter': 63, 'ambient_order': 1584, 'ambient_tex': 'C_{99}:Q_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 22, 'counter': 29, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1584.63.36.b1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.b1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '44.1', 'subgroup_hash': 1, 'subgroup_order': 44, 'subgroup_tex': 'C_{11}:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 76894133
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1584.63', 'ambient_counter': 63, 'ambient_order': 1584, 'ambient_tex': 'C_{99}:Q_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 792, 'characteristic': True, 'core_order': 36, 'counter': 30, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1584.63.44.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '44.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '44.3', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 44, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{22}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '36.2', 'subgroup_hash': 2, 'subgroup_order': 36, 'subgroup_tex': 'C_{36}', 'supersolvable': True, 'sylow': 0}
-
id: 76894134
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1584.63', 'ambient_counter': 63, 'ambient_order': 1584, 'ambient_tex': 'C_{99}:Q_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 18, 'counter': 31, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1584.63.44.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '44.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 44, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '36.1', 'subgroup_hash': 1, 'subgroup_order': 36, 'subgroup_tex': 'C_9:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 76894135
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1584.63', 'ambient_counter': 63, 'ambient_order': 1584, 'ambient_tex': 'C_{99}:Q_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 18, 'counter': 32, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1584.63.44.b1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '44.b1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 44, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '36.1', 'subgroup_hash': 1, 'subgroup_order': 36, 'subgroup_tex': 'C_9:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 76894136
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1584.63', 'ambient_counter': 63, 'ambient_order': 1584, 'ambient_tex': 'C_{99}:Q_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 792, 'characteristic': True, 'core_order': 33, 'counter': 33, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1584.63.48.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '48.8', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 8, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3:Q_{16}', 'simple': False, 'solvable': True, 'special_labels': ['C5'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '33.1', 'subgroup_hash': 1, 'subgroup_order': 33, 'subgroup_tex': 'C_{33}', 'supersolvable': True, 'sylow': 0}
-
id: 76894137
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1584.63', 'ambient_counter': 63, 'ambient_order': 1584, 'ambient_tex': 'C_{99}:Q_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 792, 'characteristic': True, 'core_order': 24, 'counter': 34, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1584.63.66.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '66.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '66.3', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 66, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{33}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '24.2', 'subgroup_hash': 2, 'subgroup_order': 24, 'subgroup_tex': 'C_{24}', 'supersolvable': True, 'sylow': 0}
-
id: 76894138
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1584.63', 'ambient_counter': 63, 'ambient_order': 1584, 'ambient_tex': 'C_{99}:Q_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 12, 'counter': 35, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1584.63.66.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '66.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 66, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.4', 'subgroup_hash': 4, 'subgroup_order': 24, 'subgroup_tex': 'C_3:Q_8', 'supersolvable': True, 'sylow': 0}
-
id: 76894139
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1584.63', 'ambient_counter': 63, 'ambient_order': 1584, 'ambient_tex': 'C_{99}:Q_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 12, 'counter': 36, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1584.63.66.b1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '66.b1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 66, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.4', 'subgroup_hash': 4, 'subgroup_order': 24, 'subgroup_tex': 'C_3:Q_8', 'supersolvable': True, 'sylow': 0}
-
id: 76894140
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1584.63', 'ambient_counter': 63, 'ambient_order': 1584, 'ambient_tex': 'C_{99}:Q_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 792, 'characteristic': True, 'core_order': 22, 'counter': 37, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1584.63.72.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '72.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '72.6', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 6, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 72, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{36}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '22.2', 'subgroup_hash': 2, 'subgroup_order': 22, 'subgroup_tex': 'C_{22}', 'supersolvable': True, 'sylow': 0}
-
id: 76894141
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1584.63', 'ambient_counter': 63, 'ambient_order': 1584, 'ambient_tex': 'C_{99}:Q_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 792, 'characteristic': True, 'core_order': 18, 'counter': 38, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1584.63.88.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '88.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '88.5', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 88, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{44}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '18.2', 'subgroup_hash': 2, 'subgroup_order': 18, 'subgroup_tex': 'C_{18}', 'supersolvable': True, 'sylow': 0}
-
id: 76894142
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1584.63', 'ambient_counter': 63, 'ambient_order': 1584, 'ambient_tex': 'C_{99}:Q_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 8, 'counter': 39, 'cyclic': False, 'direct': None, 'hall': 2, 'label': '1584.63.99.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '99.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 99, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.9', 'subgroup_hash': 9, 'subgroup_order': 16, 'subgroup_tex': 'Q_{16}', 'supersolvable': True, 'sylow': 2}
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id: 76894144
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1584.63', 'ambient_counter': 63, 'ambient_order': 1584, 'ambient_tex': 'C_{99}:Q_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 792, 'characteristic': True, 'core_order': 12, 'counter': 40, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1584.63.132.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '132.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '132.9', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 9, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 132, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{66}', 'simple': False, 'solvable': True, 'special_labels': ['Phi'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '12.2', 'subgroup_hash': 2, 'subgroup_order': 12, 'subgroup_tex': 'C_{12}', 'supersolvable': True, 'sylow': 0}
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id: 76894145
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1584.63', 'ambient_counter': 63, 'ambient_order': 1584, 'ambient_tex': 'C_{99}:Q_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 6, 'counter': 41, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1584.63.132.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '132.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 132, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.1', 'subgroup_hash': 1, 'subgroup_order': 12, 'subgroup_tex': 'C_3:C_4', 'supersolvable': True, 'sylow': 0}
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id: 76894146
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1584.63', 'ambient_counter': 63, 'ambient_order': 1584, 'ambient_tex': 'C_{99}:Q_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 6, 'counter': 42, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1584.63.132.b1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '132.b1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 132, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.1', 'subgroup_hash': 1, 'subgroup_order': 12, 'subgroup_tex': 'C_3:C_4', 'supersolvable': True, 'sylow': 0}
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id: 76894147
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1584.63', 'ambient_counter': 63, 'ambient_order': 1584, 'ambient_tex': 'C_{99}:Q_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 792, 'characteristic': True, 'core_order': 11, 'counter': 43, 'cyclic': True, 'direct': False, 'hall': 11, 'label': '1584.63.144.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '144.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '144.4', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 144, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_9:Q_{16}', 'simple': True, 'solvable': True, 'special_labels': ['C6'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '11.1', 'subgroup_hash': 1, 'subgroup_order': 11, 'subgroup_tex': 'C_{11}', 'supersolvable': True, 'sylow': 11}
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id: 76894148
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1584.63', 'ambient_counter': 63, 'ambient_order': 1584, 'ambient_tex': 'C_{99}:Q_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 792, 'characteristic': True, 'core_order': 9, 'counter': 44, 'cyclic': True, 'direct': False, 'hall': 3, 'label': '1584.63.176.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '176.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '176.7', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 7, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 176, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{11}:Q_{16}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '9.1', 'subgroup_hash': 1, 'subgroup_order': 9, 'subgroup_tex': 'C_9', 'supersolvable': True, 'sylow': 3}
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id: 76894149
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1584.63', 'ambient_counter': 63, 'ambient_order': 1584, 'ambient_tex': 'C_{99}:Q_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 792, 'characteristic': True, 'core_order': 8, 'counter': 45, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1584.63.198.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '198.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '198.3', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 198, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{99}', 'simple': False, 'solvable': True, 'special_labels': ['U0'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '8.1', 'subgroup_hash': 1, 'subgroup_order': 8, 'subgroup_tex': 'C_8', 'supersolvable': True, 'sylow': 0}
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id: 76894150
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1584.63', 'ambient_counter': 63, 'ambient_order': 1584, 'ambient_tex': 'C_{99}:Q_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 4, 'counter': 46, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1584.63.198.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '198.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 198, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.4', 'subgroup_hash': 4, 'subgroup_order': 8, 'subgroup_tex': 'Q_8', 'supersolvable': True, 'sylow': 0}
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id: 76894151
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1584.63', 'ambient_counter': 63, 'ambient_order': 1584, 'ambient_tex': 'C_{99}:Q_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 4, 'counter': 47, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1584.63.198.b1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '198.b1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 198, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.4', 'subgroup_hash': 4, 'subgroup_order': 8, 'subgroup_tex': 'Q_8', 'supersolvable': True, 'sylow': 0}
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id: 76894152
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1584.63', 'ambient_counter': 63, 'ambient_order': 1584, 'ambient_tex': 'C_{99}:Q_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 792, 'characteristic': True, 'core_order': 6, 'counter': 48, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1584.63.264.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '264.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '264.25', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 25, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 264, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{132}', '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}
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id: 76894153
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1584.63', 'ambient_counter': 63, 'ambient_order': 1584, 'ambient_tex': 'C_{99}:Q_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 792, 'characteristic': True, 'core_order': 4, 'counter': 49, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1584.63.396.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '396.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '396.9', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 9, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 396, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{198}', 'simple': False, 'solvable': True, 'special_labels': ['U1'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
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id: 76894155
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1584.63', 'ambient_counter': 63, 'ambient_order': 1584, 'ambient_tex': 'C_{99}:Q_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 2, 'counter': 50, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1584.63.396.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '396.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 396, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
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id: 76894156
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1584.63', 'ambient_counter': 63, 'ambient_order': 1584, 'ambient_tex': 'C_{99}:Q_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 2, 'counter': 51, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1584.63.396.b1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '396.b1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 396, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
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id: 76894157
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1584.63', 'ambient_counter': 63, 'ambient_order': 1584, 'ambient_tex': 'C_{99}:Q_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 792, 'characteristic': True, 'core_order': 3, 'counter': 52, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1584.63.528.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '528.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '528.67', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 67, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 528, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{33}:Q_{16}', 'simple': True, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '3.1', 'subgroup_hash': 1, 'subgroup_order': 3, 'subgroup_tex': 'C_3', 'supersolvable': True, 'sylow': 0}
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id: 76894158
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1584.63', 'ambient_counter': 63, 'ambient_order': 1584, 'ambient_tex': 'C_{99}:Q_{16}', 'central': True, 'central_factor': False, 'centralizer_order': 1584, 'characteristic': True, 'core_order': 2, 'counter': 53, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1584.63.792.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '792.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '792.25', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 25, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 792, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{396}', 'simple': True, 'solvable': True, 'special_labels': ['Z', 'U2'], 'split': False, 'standard_generators': False, 'stem': True, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
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id: 76894159
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1584.63', 'ambient_counter': 63, 'ambient_order': 1584, 'ambient_tex': 'C_{99}:Q_{16}', 'central': True, 'central_factor': False, 'centralizer_order': 1584, 'characteristic': True, 'core_order': 1, 'counter': 54, 'cyclic': True, 'direct': True, 'hall': 1, 'label': '1584.63.1584.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1584.a1.a1', 'outer_equivalence': False, 'perfect': True, 'proper': False, 'quotient': '1584.63', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 63, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 1584, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{99}:Q_{16}', 'simple': False, 'solvable': True, 'special_labels': ['PC', 'U3', 'D2', 'C7'], 'split': True, 'standard_generators': False, 'stem': True, 'subgroup': '1.1', 'subgroup_hash': 1, 'subgroup_order': 1, 'subgroup_tex': 'C_1', 'supersolvable': True, 'sylow': 1}
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gps_subgroup_data • Show schema
Hide schema
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id: 76894142
{'ambient': '1584.63', 'aut_centralizer_order': 60, 'aut_label': '99.a1', 'aut_quo_index': None, 'aut_stab_index': 99, 'aut_weyl_group': '32.43', 'aut_weyl_index': 5940, 'centralizer': '792.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['9.a1.a1', '33.a1.a1'], 'contains': ['198.a1.a1', '198.b1.a1', '198.b1.b1'], 'core': '198.a1.a1', 'coset_action_label': None, 'count': 99, 'diagramx': [9150, -1, 875, -1, 9628, -1, 9101, -1], 'generators': [1, 198], 'label': '1584.63.99.a1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '99.a1.a1', 'old_label': '99.a1.a1', 'projective_image': '792.25', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '99.a1.a1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
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id: 76894110
{'ambient': '1584.63', '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': '792.a1.a1', 'complements': ['1584.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': [], 'contains': ['2.a1.a1', '2.a1.b1', '2.b1.a1', '3.a1.a1', '11.a1.a1'], 'core': '1.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6152, 6978, 5088, 5826, 4596, 4843, 4617, 3917], 'generators': [1, 144, 1188, 792, 198, 1056, 1408], 'label': '1584.63.1.a1.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '1.a1.a1', 'normal_contained_in': [], 'normal_contains': ['2.a1.a1', '2.a1.b1', '2.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '1.a1.a1', 'projective_image': '792.25', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1.a1.a1', 'subgroup_fusion': None, 'weyl_group': '792.25'}
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id: 76894111
{'ambient': '1584.63', 'aut_centralizer_order': 6, 'aut_label': '6.b1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': None, 'aut_weyl_index': 36, 'centralizer': '792.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '3.a1.a1'], 'contains': ['12.a1.a1', '12.b1.a1', '18.b1.a1', '66.b1.a1'], 'core': '12.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [6251, -1, 4376, -1, 5278, -1, 6097, -1], 'generators': [1, 792, 1056, 1188, 144], 'label': '1584.63.6.b1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '6.b1.a1', 'projective_image': '792.25', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.b1.a1', 'subgroup_fusion': None, 'weyl_group': '264.25'}
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id: 76894112
{'ambient': '1584.63', 'aut_centralizer_order': 6, 'aut_label': '6.b1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': None, 'aut_weyl_index': 36, 'centralizer': '792.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.a1.b1', '3.a1.a1'], 'contains': ['12.a1.a1', '12.b1.b1', '18.b1.b1', '66.b1.b1'], 'core': '12.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [6251, -1, 3399, -1, 5278, -1, 4588, -1], 'generators': [1539, 792, 1056, 1188, 144], 'label': '1584.63.6.b1.b1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.a1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '6.b1.b1', 'projective_image': '792.25', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.b1.b1', 'subgroup_fusion': None, 'weyl_group': '264.25'}
-
id: 76894113
{'ambient': '1584.63', 'aut_centralizer_order': 3168, 'aut_label': '8.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '60.13', 'aut_weyl_index': 3168, 'centralizer': '2.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '4.b1.a1', '4.b1.b1'], 'contains': ['16.a1.a1', '24.a1.a1', '88.a1.a1'], 'core': '8.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1229, 2089, 8786, 2192, 414, 2087, 287, 2087], 'generators': [792, 144, 1056, 1408], 'label': '1584.63.8.a1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.a1.a1', 'normal_contained_in': ['4.a1.a1'], 'normal_contains': ['16.a1.a1', '24.a1.a1', '88.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '8.a1.a1', 'projective_image': '792.25', 'quotient_action_image': '2.1', 'quotient_action_kernel': '4.1', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '8.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 76894114
{'ambient': '1584.63', 'aut_centralizer_order': 6, 'aut_label': '9.a1', 'aut_quo_index': None, 'aut_stab_index': 9, 'aut_weyl_group': '3520.c', 'aut_weyl_index': 54, 'centralizer': '792.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3.a1.a1'], 'contains': ['18.a1.a1', '18.b1.a1', '18.b1.b1', '99.a1.a1'], 'core': '18.a1.a1', 'coset_action_label': None, 'count': 9, 'diagramx': [9756, -1, 1438, -1, 8789, -1, 8527, -1], 'generators': [1, 1188, 792, 198, 144], 'label': '1584.63.9.a1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.a1.a1', 'old_label': '9.a1.a1', 'projective_image': '792.25', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9.a1.a1', 'subgroup_fusion': None, 'weyl_group': '88.5'}
-
id: 76894115
{'ambient': '1584.63', 'aut_centralizer_order': 10, 'aut_label': '11.a1', 'aut_quo_index': None, 'aut_stab_index': 11, 'aut_weyl_group': '1728.19566', 'aut_weyl_index': 110, 'centralizer': '792.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['22.a1.a1', '22.b1.a1', '22.b1.b1', '33.a1.a1'], 'core': '22.a1.a1', 'coset_action_label': None, 'count': 11, 'diagramx': [6062, -1, 5088, -1, 5162, -1, 4617, -1], 'generators': [1, 1056, 1408, 198, 1188, 792], 'label': '1584.63.11.a1.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.a1.a1', 'old_label': '11.a1.a1', 'projective_image': '792.25', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '11.a1.a1', 'subgroup_fusion': None, 'weyl_group': '72.6'}
-
id: 76894116
{'ambient': '1584.63', 'aut_centralizer_order': 4752, 'aut_label': '12.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '40.14', 'aut_weyl_index': 4752, 'centralizer': '2.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '6.a1.a1', '6.b1.a1', '6.b1.b1'], 'contains': ['24.a1.a1', '36.a1.a1', '132.a1.a1'], 'core': '12.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4661, 6132, 3854, 5878, 4575, 5748, 5379, 5748], 'generators': [1188, 144, 792, 1056], 'label': '1584.63.12.a1.a1', 'mobius_quo': 0, 'mobius_sub': -6, 'normal_closure': '12.a1.a1', 'normal_contained_in': ['4.a1.a1', '6.a1.a1'], 'normal_contains': ['24.a1.a1', '36.a1.a1', '132.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '12.a1.a1', 'projective_image': '792.25', 'quotient_action_image': '2.1', 'quotient_action_kernel': '6.2', 'quotient_action_kernel_order': 6, 'quotient_fusion': None, 'short_label': '12.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 76894117
{'ambient': '1584.63', 'aut_centralizer_order': 12, 'aut_label': '12.b1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '1320.142', 'aut_weyl_index': 144, 'centralizer': '792.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.b1.a1', '6.b1.a1'], 'contains': ['24.a1.a1', '36.b1.a1', '132.b1.a1'], 'core': '24.a1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [3686, -1, 8283, -1, 3443, -1, 3921, -1], 'generators': [1, 1056, 144, 792], 'label': '1584.63.12.b1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1.a1', 'old_label': '12.b1.a1', 'projective_image': '792.25', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.b1.a1', 'subgroup_fusion': None, 'weyl_group': '132.9'}
-
id: 76894118
{'ambient': '1584.63', 'aut_centralizer_order': 12, 'aut_label': '12.b1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '1320.142', 'aut_weyl_index': 144, 'centralizer': '792.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.b1.b1', '6.b1.b1'], 'contains': ['24.a1.a1', '36.b1.b1', '132.b1.b1'], 'core': '24.a1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [3686, -1, 6058, -1, 3443, -1, 2412, -1], 'generators': [1539, 1056, 144, 792], 'label': '1584.63.12.b1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1.b1', 'old_label': '12.b1.b1', 'projective_image': '792.25', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.b1.b1', 'subgroup_fusion': None, 'weyl_group': '132.9'}
-
id: 76894119
{'ambient': '1584.63', 'aut_centralizer_order': 3168, 'aut_label': '16.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '60.13', 'aut_weyl_index': 3168, 'centralizer': '2.b1.a1', 'complements': ['99.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1'], 'contains': ['48.a1.a1', '176.a1.a1'], 'core': '16.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [966, 604, 9762, 609, 854, 689, 1135, 689], 'generators': [1408, 1056, 144], 'label': '1584.63.16.a1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '16.a1.a1', 'normal_contained_in': ['8.a1.a1'], 'normal_contains': ['48.a1.a1', '176.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '16.a1.a1', 'projective_image': '1584.63', 'quotient_action_image': '2.1', 'quotient_action_kernel': '8.1', 'quotient_action_kernel_order': 8, 'quotient_fusion': None, 'short_label': '16.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 76894120
{'ambient': '1584.63', 'aut_centralizer_order': 4752, 'aut_label': '18.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '40.14', 'aut_weyl_index': 4752, 'centralizer': '2.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['6.a1.a1', '9.a1.a1'], 'contains': ['36.a1.a1', '198.a1.a1'], 'core': '18.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [9630, 9396, 238, 9391, 8695, 9311, 9746, 9311], 'generators': [198, 396, 792, 144], 'label': '1584.63.18.a1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '18.a1.a1', 'normal_contained_in': ['6.a1.a1'], 'normal_contains': ['36.a1.a1', '198.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '18.a1.a1', 'projective_image': '792.25', 'quotient_action_image': '2.1', 'quotient_action_kernel': '9.1', 'quotient_action_kernel_order': 9, 'quotient_fusion': None, 'short_label': '18.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 76894121
{'ambient': '1584.63', 'aut_centralizer_order': 2, 'aut_label': '2.a1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': None, 'aut_weyl_index': 4, 'centralizer': '792.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.a1.a1', '4.b1.a1', '6.b1.a1', '22.b1.a1'], 'core': '2.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3821, 6046, 6607, 3756, 2898, 3780, 3754, 1575], 'generators': [1, 1056, 792, 1408, 1188, 144], 'label': '1584.63.2.a1.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.a1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.a1.a1', 'projective_image': '792.25', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.a1.a1', 'subgroup_fusion': None, 'weyl_group': '792.25'}
-
id: 76894122
{'ambient': '1584.63', 'aut_centralizer_order': 12, 'aut_label': '18.b1', 'aut_quo_index': None, 'aut_stab_index': 18, 'aut_weyl_group': '880.118', 'aut_weyl_index': 216, 'centralizer': '792.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.b1.a1', '9.a1.a1'], 'contains': ['36.a1.a1', '36.b1.a1', '198.b1.a1'], 'core': '36.a1.a1', 'coset_action_label': None, 'count': 9, 'diagramx': [6776, -1, 2531, -1, 7605, -1, 8346, -1], 'generators': [1, 792, 144, 1188], 'label': '1584.63.18.b1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.a1.a1', 'old_label': '18.b1.a1', 'projective_image': '792.25', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.b1.a1', 'subgroup_fusion': None, 'weyl_group': '88.5'}
-
id: 76894123
{'ambient': '1584.63', 'aut_centralizer_order': 12, 'aut_label': '18.b1', 'aut_quo_index': None, 'aut_stab_index': 18, 'aut_weyl_group': '880.118', 'aut_weyl_index': 216, 'centralizer': '792.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.b1.b1', '9.a1.a1'], 'contains': ['36.a1.a1', '36.b1.b1', '198.b1.b1'], 'core': '36.a1.a1', 'coset_action_label': None, 'count': 9, 'diagramx': [6776, -1, 1459, -1, 7605, -1, 6837, -1], 'generators': [1539, 792, 144, 1188], 'label': '1584.63.18.b1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.a1.a1', 'old_label': '18.b1.b1', 'projective_image': '792.25', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.b1.b1', 'subgroup_fusion': None, 'weyl_group': '88.5'}
-
id: 76894124
{'ambient': '1584.63', 'aut_centralizer_order': 7920, 'aut_label': '22.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '24.15', 'aut_weyl_index': 7920, 'centralizer': '2.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.b1.a1', '11.a1.a1'], 'contains': ['44.a1.a1', '66.a1.a1'], 'core': '22.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5944, 7911, 4234, 7704, 4188, 5748, 5343, 5748], 'generators': [198, 792, 1408, 396, 1056], 'label': '1584.63.22.a1.a1', 'mobius_quo': 0, 'mobius_sub': 11, 'normal_closure': '22.a1.a1', 'normal_contained_in': ['2.b1.a1'], 'normal_contains': ['44.a1.a1', '66.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '22.a1.a1', 'projective_image': '792.25', 'quotient_action_image': '2.1', 'quotient_action_kernel': '11.1', 'quotient_action_kernel_order': 11, 'quotient_fusion': None, 'short_label': '22.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 76894125
{'ambient': '1584.63', 'aut_centralizer_order': 20, 'aut_label': '22.b1', 'aut_quo_index': None, 'aut_stab_index': 22, 'aut_weyl_group': '432.362', 'aut_weyl_index': 440, 'centralizer': '792.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '11.a1.a1'], 'contains': ['44.a1.a1', '44.b1.a1', '66.b1.a1'], 'core': '44.a1.a1', 'coset_action_label': None, 'count': 11, 'diagramx': [2927, -1, 6832, -1, 3244, -1, 3819, -1], 'generators': [1, 1056, 1188, 792, 1408], 'label': '1584.63.22.b1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.a1.a1', 'old_label': '22.b1.a1', 'projective_image': '792.25', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '22.b1.a1', 'subgroup_fusion': None, 'weyl_group': '72.6'}
-
id: 76894126
{'ambient': '1584.63', 'aut_centralizer_order': 20, 'aut_label': '22.b1', 'aut_quo_index': None, 'aut_stab_index': 22, 'aut_weyl_group': '432.362', 'aut_weyl_index': 440, 'centralizer': '792.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.a1.b1', '11.a1.a1'], 'contains': ['44.a1.a1', '44.b1.b1', '66.b1.b1'], 'core': '44.a1.a1', 'coset_action_label': None, 'count': 11, 'diagramx': [2927, -1, 5950, -1, 3244, -1, 2441, -1], 'generators': [1539, 1056, 1188, 792, 1408], 'label': '1584.63.22.b1.b1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.a1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.a1.a1', 'old_label': '22.b1.b1', 'projective_image': '792.25', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '22.b1.b1', 'subgroup_fusion': None, 'weyl_group': '72.6'}
-
id: 76894127
{'ambient': '1584.63', 'aut_centralizer_order': 9504, 'aut_label': '24.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '20.5', 'aut_weyl_index': 9504, 'centralizer': '2.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '12.a1.a1', '12.b1.a1', '12.b1.b1'], 'contains': ['48.a1.a1', '72.a1.a1', '264.a1.a1'], 'core': '24.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1915, 3075, 8562, 3026, 2699, 4154, 2535, 4154], 'generators': [792, 144, 1056], 'label': '1584.63.24.a1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '24.a1.a1', 'normal_contained_in': ['8.a1.a1', '12.a1.a1'], 'normal_contains': ['48.a1.a1', '72.a1.a1', '264.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '24.a1.a1', 'projective_image': '792.25', 'quotient_action_image': '2.1', 'quotient_action_kernel': '12.2', 'quotient_action_kernel_order': 12, 'quotient_fusion': None, 'short_label': '24.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 76894128
{'ambient': '1584.63', 'aut_centralizer_order': 30, 'aut_label': '33.a1', 'aut_quo_index': None, 'aut_stab_index': 33, 'aut_weyl_group': '192.1331', 'aut_weyl_index': 990, 'centralizer': '792.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3.a1.a1', '11.a1.a1'], 'contains': ['66.a1.a1', '66.b1.a1', '66.b1.b1', '99.a1.a1'], 'core': '66.a1.a1', 'coset_action_label': None, 'count': 33, 'diagramx': [8482, -1, 943, -1, 7542, -1, 6960, -1], 'generators': [1, 1056, 198, 1188, 792], 'label': '1584.63.33.a1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '33.a1.a1', 'old_label': '33.a1.a1', 'projective_image': '792.25', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '33.a1.a1', 'subgroup_fusion': None, 'weyl_group': '24.6'}
-
id: 76894129
{'ambient': '1584.63', 'aut_centralizer_order': 9504, 'aut_label': '36.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '20.5', 'aut_weyl_index': 9504, 'centralizer': '2.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['12.a1.a1', '18.a1.a1', '18.b1.a1', '18.b1.b1'], 'contains': ['72.a1.a1', '396.a1.a1'], 'core': '36.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6541, 7876, 1866, 7739, 6766, 7618, 7410, 7618], 'generators': [1188, 792, 144], 'label': '1584.63.36.a1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '36.a1.a1', 'normal_contained_in': ['12.a1.a1', '18.a1.a1'], 'normal_contains': ['72.a1.a1', '396.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '36.a1.a1', 'projective_image': '792.25', 'quotient_action_image': '2.1', 'quotient_action_kernel': '18.2', 'quotient_action_kernel_order': 18, 'quotient_fusion': None, 'short_label': '36.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 76894130
{'ambient': '1584.63', 'aut_centralizer_order': 24, 'aut_label': '36.b1', 'aut_quo_index': None, 'aut_stab_index': 36, 'aut_weyl_group': '220.7', 'aut_weyl_index': 864, 'centralizer': '792.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.b1.a1', '18.b1.a1'], 'contains': ['72.a1.a1', '396.b1.a1'], 'core': '72.a1.a1', 'coset_action_label': None, 'count': 18, 'diagramx': [5601, -1, 5448, -1, 5676, -1, 6133, -1], 'generators': [1, 144, 792], 'label': '1584.63.36.b1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.b1.a1', 'old_label': '36.b1.a1', 'projective_image': '792.25', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.b1.a1', 'subgroup_fusion': None, 'weyl_group': '44.3'}
-
id: 76894131
{'ambient': '1584.63', 'aut_centralizer_order': 24, 'aut_label': '36.b1', 'aut_quo_index': None, 'aut_stab_index': 36, 'aut_weyl_group': '220.7', 'aut_weyl_index': 864, 'centralizer': '792.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.b1.b1', '18.b1.b1'], 'contains': ['72.a1.a1', '396.b1.b1'], 'core': '72.a1.a1', 'coset_action_label': None, 'count': 18, 'diagramx': [5601, -1, 3087, -1, 5676, -1, 4625, -1], 'generators': [1539, 144, 792], 'label': '1584.63.36.b1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.b1.b1', 'old_label': '36.b1.b1', 'projective_image': '792.25', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.b1.b1', 'subgroup_fusion': None, 'weyl_group': '44.3'}
-
id: 76894132
{'ambient': '1584.63', 'aut_centralizer_order': 2, 'aut_label': '2.a1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': None, 'aut_weyl_index': 4, 'centralizer': '792.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.a1.a1', '4.b1.b1', '6.b1.b1', '22.b1.b1'], 'core': '2.a1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [3821, 6046, 5801, 5826, 2898, 3780, 2891, 3917], 'generators': [1539, 1056, 792, 1408, 1188, 144], 'label': '1584.63.2.a1.b1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.a1.b1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.a1.b1', 'projective_image': '792.25', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.a1.b1', 'subgroup_fusion': None, 'weyl_group': '792.25'}
-
id: 76894133
{'ambient': '1584.63', 'aut_centralizer_order': 15840, 'aut_label': '44.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '12.5', 'aut_weyl_index': 15840, 'centralizer': '2.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '22.a1.a1', '22.b1.a1', '22.b1.b1'], 'contains': ['88.a1.a1', '132.a1.a1'], 'core': '44.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3541, 5043, 6371, 4783, 2353, 3917, 3166, 3917], 'generators': [1188, 1408, 792, 1056], 'label': '1584.63.44.a1.a1', 'mobius_quo': 0, 'mobius_sub': -22, 'normal_closure': '44.a1.a1', 'normal_contained_in': ['4.a1.a1', '22.a1.a1'], 'normal_contains': ['88.a1.a1', '132.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '44.a1.a1', 'projective_image': '792.25', 'quotient_action_image': '2.1', 'quotient_action_kernel': '22.2', 'quotient_action_kernel_order': 22, 'quotient_fusion': None, 'short_label': '44.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 76894134
{'ambient': '1584.63', 'aut_centralizer_order': 40, 'aut_label': '44.b1', 'aut_quo_index': None, 'aut_stab_index': 44, 'aut_weyl_group': '108.26', 'aut_weyl_index': 1760, 'centralizer': '792.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.b1.a1', '22.b1.a1'], 'contains': ['88.a1.a1', '132.b1.a1'], 'core': '88.a1.a1', 'coset_action_label': None, 'count': 22, 'diagramx': [2385, -1, 8120, -1, 1410, -1, 1643, -1], 'generators': [1, 792, 1408, 1056], 'label': '1584.63.44.b1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '22.b1.a1', 'old_label': '44.b1.a1', 'projective_image': '792.25', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '44.b1.a1', 'subgroup_fusion': None, 'weyl_group': '36.4'}
-
id: 76894135
{'ambient': '1584.63', 'aut_centralizer_order': 40, 'aut_label': '44.b1', 'aut_quo_index': None, 'aut_stab_index': 44, 'aut_weyl_group': '108.26', 'aut_weyl_index': 1760, 'centralizer': '792.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.b1.b1', '22.b1.b1'], 'contains': ['88.a1.a1', '132.b1.b1'], 'core': '88.a1.a1', 'coset_action_label': None, 'count': 22, 'diagramx': [2385, -1, 7239, -1, 1410, -1, 976, -1], 'generators': [1539, 792, 1408, 1056], 'label': '1584.63.44.b1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '22.b1.b1', 'old_label': '44.b1.b1', 'projective_image': '792.25', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '44.b1.b1', 'subgroup_fusion': None, 'weyl_group': '36.4'}
-
id: 76894136
{'ambient': '1584.63', 'aut_centralizer_order': 9504, 'aut_label': '48.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '20.5', 'aut_weyl_index': 9504, 'centralizer': '2.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.a1.a1', '24.a1.a1'], 'contains': ['144.a1.a1', '528.a1.a1'], 'core': '48.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1229, 604, 9295, 609, 2710, 2657, 2572, 2657], 'generators': [1056, 144], 'label': '1584.63.48.a1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '48.a1.a1', 'normal_contained_in': ['16.a1.a1', '24.a1.a1'], 'normal_contains': ['144.a1.a1', '528.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '48.a1.a1', 'projective_image': '1584.63', 'quotient_action_image': '2.1', 'quotient_action_kernel': '24.2', 'quotient_action_kernel_order': 24, 'quotient_fusion': None, 'short_label': '48.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 76894137
{'ambient': '1584.63', 'aut_centralizer_order': 23760, 'aut_label': '66.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '8.5', 'aut_weyl_index': 23760, 'centralizer': '2.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['6.a1.a1', '22.a1.a1', '33.a1.a1'], 'contains': ['132.a1.a1', '198.a1.a1'], 'core': '66.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [8049, 8964, 923, 8956, 6515, 7579, 7592, 7579], 'generators': [198, 1056, 396, 792], 'label': '1584.63.66.a1.a1', 'mobius_quo': 0, 'mobius_sub': -33, 'normal_closure': '66.a1.a1', 'normal_contained_in': ['6.a1.a1', '22.a1.a1'], 'normal_contains': ['132.a1.a1', '198.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '66.a1.a1', 'projective_image': '792.25', 'quotient_action_image': '2.1', 'quotient_action_kernel': '33.1', 'quotient_action_kernel_order': 33, 'quotient_fusion': None, 'short_label': '66.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 76894138
{'ambient': '1584.63', 'aut_centralizer_order': 60, 'aut_label': '66.b1', 'aut_quo_index': None, 'aut_stab_index': 66, 'aut_weyl_group': '48.38', 'aut_weyl_index': 3960, 'centralizer': '792.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.b1.a1', '22.b1.a1', '33.a1.a1'], 'contains': ['132.a1.a1', '132.b1.a1', '198.b1.a1'], 'core': '132.a1.a1', 'coset_action_label': None, 'count': 33, 'diagramx': [7091, -1, 4430, -1, 5571, -1, 6068, -1], 'generators': [1, 1188, 792, 1056], 'label': '1584.63.66.b1.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '33.a1.a1', 'old_label': '66.b1.a1', 'projective_image': '792.25', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '66.b1.a1', 'subgroup_fusion': None, 'weyl_group': '24.6'}
-
id: 76894139
{'ambient': '1584.63', 'aut_centralizer_order': 60, 'aut_label': '66.b1', 'aut_quo_index': None, 'aut_stab_index': 66, 'aut_weyl_group': '48.38', 'aut_weyl_index': 3960, 'centralizer': '792.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.b1.b1', '22.b1.b1', '33.a1.a1'], 'contains': ['132.a1.a1', '132.b1.b1', '198.b1.b1'], 'core': '132.a1.a1', 'coset_action_label': None, 'count': 33, 'diagramx': [7091, -1, 3101, -1, 5571, -1, 4690, -1], 'generators': [1539, 1188, 792, 1056], 'label': '1584.63.66.b1.b1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '2.a1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '33.a1.a1', 'old_label': '66.b1.b1', 'projective_image': '792.25', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '66.b1.b1', 'subgroup_fusion': None, 'weyl_group': '24.6'}
-
id: 76894140
{'ambient': '1584.63', 'aut_centralizer_order': 19008, 'aut_label': '72.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '10.2', 'aut_weyl_index': 19008, 'centralizer': '2.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['24.a1.a1', '36.a1.a1', '36.b1.a1', '36.b1.b1'], 'contains': ['144.a1.a1', '792.a1.a1'], 'core': '72.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4318, 4820, 6200, 4783, 4754, 5807, 4748, 5807], 'generators': [792, 144], 'label': '1584.63.72.a1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '72.a1.a1', 'normal_contained_in': ['24.a1.a1', '36.a1.a1'], 'normal_contains': ['144.a1.a1', '792.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '72.a1.a1', 'projective_image': '792.25', 'quotient_action_image': '2.1', 'quotient_action_kernel': '36.2', 'quotient_action_kernel_order': 36, 'quotient_fusion': None, 'short_label': '72.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 76894141
{'ambient': '1584.63', 'aut_centralizer_order': 31680, 'aut_label': '88.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '6.2', 'aut_weyl_index': 31680, 'centralizer': '2.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '44.a1.a1', '44.b1.a1', '44.b1.b1'], 'contains': ['176.a1.a1', '264.a1.a1'], 'core': '88.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2032, 1951, 8087, 1861, 1777, 2421, 1774, 2421], 'generators': [792, 1408, 1056], 'label': '1584.63.88.a1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '88.a1.a1', 'normal_contained_in': ['8.a1.a1', '44.a1.a1'], 'normal_contains': ['176.a1.a1', '264.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '88.a1.a1', 'projective_image': '792.25', 'quotient_action_image': '2.1', 'quotient_action_kernel': '44.2', 'quotient_action_kernel_order': 44, 'quotient_fusion': None, 'short_label': '88.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 76894143
{'ambient': '1584.63', 'aut_centralizer_order': 792, 'aut_label': '2.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '240.208', 'aut_weyl_index': 792, 'centralizer': '2.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.a1.a1', '6.a1.a1', '22.a1.a1'], 'core': '2.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7037, 7911, 3494, 7704, 4030, 5906, 5401, 6043], 'generators': [198, 792, 144, 396, 1408, 1056], 'label': '1584.63.2.b1.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.b1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.a1.a1', '6.a1.a1', '22.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.b1.a1', 'projective_image': '792.25', 'quotient_action_image': '2.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '2.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 76894144
{'ambient': '1584.63', 'aut_centralizer_order': 47520, 'aut_label': '132.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '4.2', 'aut_weyl_index': 47520, 'centralizer': '2.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['12.a1.a1', '44.a1.a1', '66.a1.a1', '66.b1.a1', '66.b1.b1'], 'contains': ['264.a1.a1', '396.a1.a1'], 'core': '132.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5348, 6563, 3880, 6539, 4586, 5886, 5379, 5886], 'generators': [1188, 1056, 792], 'label': '1584.63.132.a1.a1', 'mobius_quo': 0, 'mobius_sub': 66, 'normal_closure': '132.a1.a1', 'normal_contained_in': ['12.a1.a1', '44.a1.a1', '66.a1.a1'], 'normal_contains': ['264.a1.a1', '396.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '132.a1.a1', 'projective_image': '792.25', 'quotient_action_image': '2.1', 'quotient_action_kernel': '66.4', 'quotient_action_kernel_order': 66, 'quotient_fusion': None, 'short_label': '132.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 76894145
{'ambient': '1584.63', 'aut_centralizer_order': 120, 'aut_label': '132.b1', 'aut_quo_index': None, 'aut_stab_index': 132, 'aut_weyl_group': '12.4', 'aut_weyl_index': 15840, 'centralizer': '792.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.b1.a1', '44.b1.a1', '66.b1.a1'], 'contains': ['264.a1.a1', '396.b1.a1'], 'core': '264.a1.a1', 'coset_action_label': None, 'count': 66, 'diagramx': [3694, -1, 7076, -1, 3643, -1, 3856, -1], 'generators': [1, 792, 1056], 'label': '1584.63.132.b1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '66.b1.a1', 'old_label': '132.b1.a1', 'projective_image': '792.25', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '132.b1.a1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
-
id: 76894146
{'ambient': '1584.63', 'aut_centralizer_order': 120, 'aut_label': '132.b1', 'aut_quo_index': None, 'aut_stab_index': 132, 'aut_weyl_group': '12.4', 'aut_weyl_index': 15840, 'centralizer': '792.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.b1.b1', '44.b1.b1', '66.b1.b1'], 'contains': ['264.a1.a1', '396.b1.b1'], 'core': '264.a1.a1', 'coset_action_label': None, 'count': 66, 'diagramx': [3694, -1, 5169, -1, 3643, -1, 3188, -1], 'generators': [1539, 792, 1056], 'label': '1584.63.132.b1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '66.b1.b1', 'old_label': '132.b1.b1', 'projective_image': '792.25', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '132.b1.b1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
-
id: 76894147
{'ambient': '1584.63', 'aut_centralizer_order': 19008, 'aut_label': '144.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '10.2', 'aut_weyl_index': 19008, 'centralizer': '2.b1.a1', 'complements': ['11.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['48.a1.a1', '72.a1.a1'], 'contains': ['1584.a1.a1'], 'core': '144.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1635, 1813, 8799, 1931, 3800, 4232, 3776, 4232], 'generators': [144], 'label': '1584.63.144.a1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '144.a1.a1', 'normal_contained_in': ['48.a1.a1', '72.a1.a1'], 'normal_contains': ['1584.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '144.a1.a1', 'projective_image': '1584.63', 'quotient_action_image': '2.1', 'quotient_action_kernel': '72.2', 'quotient_action_kernel_order': 72, 'quotient_fusion': None, 'short_label': '144.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 76894148
{'ambient': '1584.63', 'aut_centralizer_order': 31680, 'aut_label': '176.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '6.2', 'aut_weyl_index': 31680, 'centralizer': '2.b1.a1', 'complements': ['9.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['16.a1.a1', '88.a1.a1'], 'contains': ['528.a1.a1'], 'core': '176.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [244, 899, 9708, 940, 1777, 1083, 1774, 1083], 'generators': [1408], 'label': '1584.63.176.a1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '176.a1.a1', 'normal_contained_in': ['16.a1.a1', '88.a1.a1'], 'normal_contains': ['528.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '176.a1.a1', 'projective_image': '1584.63', 'quotient_action_image': '2.1', 'quotient_action_kernel': '88.2', 'quotient_action_kernel_order': 88, 'quotient_fusion': None, 'short_label': '176.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 76894149
{'ambient': '1584.63', 'aut_centralizer_order': 47520, 'aut_label': '198.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '4.2', 'aut_weyl_index': 47520, 'centralizer': '2.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['18.a1.a1', '66.a1.a1', '99.a1.a1'], 'contains': ['396.a1.a1'], 'core': '198.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [9250, 9189, 618, 9183, 8528, 9193, 8803, 9193], 'generators': [198], 'label': '1584.63.198.a1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '198.a1.a1', 'normal_contained_in': ['18.a1.a1', '66.a1.a1'], 'normal_contains': ['396.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '198.a1.a1', 'projective_image': '792.25', 'quotient_action_image': '2.1', 'quotient_action_kernel': '99.1', 'quotient_action_kernel_order': 99, 'quotient_fusion': None, 'short_label': '198.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 76894150
{'ambient': '1584.63', 'aut_centralizer_order': 120, 'aut_label': '198.b1', 'aut_quo_index': None, 'aut_stab_index': 198, 'aut_weyl_group': '8.3', 'aut_weyl_index': 23760, 'centralizer': '792.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['18.b1.a1', '66.b1.a1', '99.a1.a1'], 'contains': ['396.a1.a1', '396.b1.a1'], 'core': '396.a1.a1', 'coset_action_label': None, 'count': 99, 'diagramx': [7444, -1, 3372, -1, 7605, -1, 7991, -1], 'generators': [1, 1188], 'label': '1584.63.198.b1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '99.a1.a1', 'old_label': '198.b1.a1', 'projective_image': '792.25', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '198.b1.a1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
-
id: 76894151
{'ambient': '1584.63', 'aut_centralizer_order': 120, 'aut_label': '198.b1', 'aut_quo_index': None, 'aut_stab_index': 198, 'aut_weyl_group': '8.3', 'aut_weyl_index': 23760, 'centralizer': '792.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['18.b1.b1', '66.b1.b1', '99.a1.a1'], 'contains': ['396.a1.a1', '396.b1.b1'], 'core': '396.a1.a1', 'coset_action_label': None, 'count': 99, 'diagramx': [7444, -1, 1452, -1, 7605, -1, 6830, -1], 'generators': [1539, 1188], 'label': '1584.63.198.b1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '99.a1.a1', 'old_label': '198.b1.b1', 'projective_image': '792.25', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '198.b1.b1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
-
id: 76894152
{'ambient': '1584.63', 'aut_centralizer_order': 95040, 'aut_label': '264.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 95040, 'centralizer': '2.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['24.a1.a1', '88.a1.a1', '132.a1.a1', '132.b1.a1', '132.b1.b1'], 'contains': ['528.a1.a1', '792.a1.a1'], 'core': '264.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2963, 3558, 7076, 3687, 3590, 4232, 3188, 4232], 'generators': [792, 1056], 'label': '1584.63.264.a1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '264.a1.a1', 'normal_contained_in': ['24.a1.a1', '88.a1.a1', '132.a1.a1'], 'normal_contains': ['528.a1.a1', '792.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '264.a1.a1', 'projective_image': '792.25', 'quotient_action_image': '2.1', 'quotient_action_kernel': '132.4', 'quotient_action_kernel_order': 132, 'quotient_fusion': None, 'short_label': '264.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 76894153
{'ambient': '1584.63', 'aut_centralizer_order': 95040, 'aut_label': '396.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 95040, 'centralizer': '2.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['36.a1.a1', '132.a1.a1', '198.a1.a1', '198.b1.a1', '198.b1.b1'], 'contains': ['792.a1.a1'], 'core': '396.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6947, 7393, 2083, 7513, 6766, 7539, 7120, 7539], 'generators': [1188], 'label': '1584.63.396.a1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '396.a1.a1', 'normal_contained_in': ['36.a1.a1', '132.a1.a1', '198.a1.a1'], 'normal_contains': ['792.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '396.a1.a1', 'projective_image': '792.25', 'quotient_action_image': '2.1', 'quotient_action_kernel': '198.4', 'quotient_action_kernel_order': 198, 'quotient_fusion': None, 'short_label': '396.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 76894154
{'ambient': '1584.63', 'aut_centralizer_order': 3, 'aut_label': '3.a1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': None, 'aut_weyl_index': 9, 'centralizer': '792.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['6.a1.a1', '6.b1.a1', '6.b1.b1', '9.a1.a1', '33.a1.a1'], 'core': '6.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [9150, -1, 2049, -1, 6557, -1, 6648, -1], 'generators': [1, 144, 1188, 792, 198, 1056], 'label': '1584.63.3.a1.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '3.a1.a1', 'projective_image': '792.25', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3.a1.a1', 'subgroup_fusion': None, 'weyl_group': '264.25'}
-
id: 76894155
{'ambient': '1584.63', 'aut_centralizer_order': 240, 'aut_label': '396.b1', 'aut_quo_index': None, 'aut_stab_index': 396, 'aut_weyl_group': '2.1', 'aut_weyl_index': 95040, 'centralizer': '396.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['36.b1.a1', '132.b1.a1', '198.b1.a1'], 'contains': ['792.a1.a1'], 'core': '792.a1.a1', 'coset_action_label': None, 'count': 198, 'diagramx': [5375, -1, 5760, -1, 5624, -1, 5669, -1], 'generators': [1], 'label': '1584.63.396.b1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '198.b1.a1', 'old_label': '396.b1.a1', 'projective_image': '792.25', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '396.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 76894156
{'ambient': '1584.63', 'aut_centralizer_order': 240, 'aut_label': '396.b1', 'aut_quo_index': None, 'aut_stab_index': 396, 'aut_weyl_group': '2.1', 'aut_weyl_index': 95040, 'centralizer': '396.b1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['36.b1.b1', '132.b1.b1', '198.b1.b1'], 'contains': ['792.a1.a1'], 'core': '792.a1.a1', 'coset_action_label': None, 'count': 198, 'diagramx': [5375, -1, 4301, -1, 5624, -1, 4168, -1], 'generators': [1539], 'label': '1584.63.396.b1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '198.b1.b1', 'old_label': '396.b1.b1', 'projective_image': '792.25', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '396.b1.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 76894157
{'ambient': '1584.63', 'aut_centralizer_order': 95040, 'aut_label': '528.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 95040, 'centralizer': '2.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['48.a1.a1', '176.a1.a1', '264.a1.a1'], 'contains': ['1584.a1.a1'], 'core': '528.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [912, 899, 9253, 974, 2731, 2657, 3058, 2657], 'generators': [1056], 'label': '1584.63.528.a1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '528.a1.a1', 'normal_contained_in': ['48.a1.a1', '176.a1.a1', '264.a1.a1'], 'normal_contains': ['1584.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '528.a1.a1', 'projective_image': '1584.63', 'quotient_action_image': '2.1', 'quotient_action_kernel': '264.4', 'quotient_action_kernel_order': 264, 'quotient_fusion': None, 'short_label': '528.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 76894158
{'ambient': '1584.63', 'aut_centralizer_order': 190080, 'aut_label': '792.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '1.1', 'aut_weyl_index': 190080, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['72.a1.a1', '264.a1.a1', '396.a1.a1', '396.b1.a1', '396.b1.b1'], 'contains': ['1584.a1.a1'], 'core': '792.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4382, 4284, 6017, 4504, 4754, 5807, 4421, 5807], 'generators': [792], 'label': '1584.63.792.a1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '792.a1.a1', 'normal_contained_in': ['72.a1.a1', '264.a1.a1', '396.a1.a1'], 'normal_contains': ['1584.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '792.a1.a1', 'projective_image': '792.25', 'quotient_action_image': '1.1', 'quotient_action_kernel': '792.25', 'quotient_action_kernel_order': 792, 'quotient_fusion': None, 'short_label': '792.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 76894159
{'ambient': '1584.63', 'aut_centralizer_order': None, 'aut_label': '1584.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1.a1', 'complements': ['1.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['144.a1.a1', '528.a1.a1', '792.a1.a1'], 'contains': [], 'core': '1584.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1635, 1849, 8799, 1931, 3800, 4232, 3776, 4232], 'generators': [], 'label': '1584.63.1584.a1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '1584.a1.a1', 'normal_contained_in': ['144.a1.a1', '528.a1.a1', '792.a1.a1'], 'normal_contains': [], 'normalizer': '1.a1.a1', 'old_label': '1584.a1.a1', 'projective_image': '1584.63', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1584.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 76894160
{'ambient': '1584.63', 'aut_centralizer_order': 1584, 'aut_label': '4.a1', 'aut_quo_index': 3, 'aut_stab_index': 1, 'aut_weyl_group': '120.47', 'aut_weyl_index': 1584, 'centralizer': '2.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '2.a1.b1', '2.b1.a1'], 'contains': ['8.a1.a1', '12.a1.a1', '44.a1.a1'], 'core': '4.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3821, 6046, 6357, 4887, 2248, 3917, 3130, 3917], 'generators': [1188, 144, 792, 1408, 1056], 'label': '1584.63.4.a1.a1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.a1.a1', 'normal_contained_in': ['2.a1.a1', '2.a1.b1', '2.b1.a1'], 'normal_contains': ['8.a1.a1', '12.a1.a1', '44.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.a1.a1', 'projective_image': '792.25', 'quotient_action_image': '2.1', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '4.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 76894161
{'ambient': '1584.63', 'aut_centralizer_order': 4, 'aut_label': '4.b1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': None, 'aut_weyl_index': 16, 'centralizer': '792.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1'], 'contains': ['8.a1.a1', '12.b1.a1', '44.b1.a1'], 'core': '8.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [1915, -1, 8500, -1, 1116, -1, 1672, -1], 'generators': [1, 1408, 144, 792, 1056], 'label': '1584.63.4.b1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '4.b1.a1', 'projective_image': '792.25', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.b1.a1', 'subgroup_fusion': None, 'weyl_group': '396.9'}
-
id: 76894162
{'ambient': '1584.63', 'aut_centralizer_order': 4, 'aut_label': '4.b1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': None, 'aut_weyl_index': 16, 'centralizer': '792.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.a1.b1'], 'contains': ['8.a1.a1', '12.b1.b1', '44.b1.b1'], 'core': '8.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [1915, -1, 7089, -1, 1116, -1, 809, -1], 'generators': [1539, 1408, 144, 792, 1056], 'label': '1584.63.4.b1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.b1', 'old_label': '4.b1.b1', 'projective_image': '792.25', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.b1.b1', 'subgroup_fusion': None, 'weyl_group': '396.9'}
-
id: 76894163
{'ambient': '1584.63', 'aut_centralizer_order': 2376, 'aut_label': '6.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '80.52', 'aut_weyl_index': 2376, 'centralizer': '2.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.b1.a1', '3.a1.a1'], 'contains': ['12.a1.a1', '18.a1.a1', '66.a1.a1'], 'core': '6.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [8781, 9207, 943, 9043, 6410, 7579, 7744, 7579], 'generators': [198, 144, 396, 1056, 792], 'label': '1584.63.6.a1.a1', 'mobius_quo': 0, 'mobius_sub': 3, 'normal_closure': '6.a1.a1', 'normal_contained_in': ['2.b1.a1'], 'normal_contains': ['12.a1.a1', '18.a1.a1', '66.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '6.a1.a1', 'projective_image': '792.25', 'quotient_action_image': '2.1', 'quotient_action_kernel': '3.1', 'quotient_action_kernel_order': 3, 'quotient_fusion': None, 'short_label': '6.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
