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gps_groups • Show schema
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{'Agroup': True, 'Zgroup': False, 'abelian': True, 'abelian_quotient': '384.5396', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 3, 'aut_exponent': 8, 'aut_gen_orders': [8, 8, 4, 4, 4, 4, 2], 'aut_gens': [[1, 2, 8], [5, 98, 238], [1, 103, 59], [5, 7, 328], [1, 295, 297], [197, 2, 203], [193, 198, 158], [193, 294, 108]], 'aut_group': None, 'aut_hash': 5291121797936743277, 'aut_nilpotency_class': 4, 'aut_nilpotent': True, 'aut_order': 8192, 'aut_permdeg': 66, 'aut_perms': [269767637217169501708719312632088440558310504095944336401360449580052428299611010533419569294, 395383724728157182470024197095587593458737402386638654270895961757167367961286468918841017768, 284359643316045069540703994701296256444441014371122295884260458241432358897987424598919268863, 163053757938490210077574767234363073723764430100869024167755306093626242746395117883147136346, 370513898889252475236289871558077529984925052248573590445323762884522485018716010044962548191, 521509338405463757271872336945345825214029406037452332611248186615570472615567772611275725650, 297044336503913378544856148687190722713440738748808638122297961106018406189943917048649902243], 'aut_phi_ratio': 64.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 1, 2, 1], [2, 1, 4, 1], [3, 1, 2, 1], [4, 1, 2, 2], [4, 1, 4, 1], [4, 1, 16, 1], [6, 1, 2, 1], [6, 1, 4, 1], [6, 1, 8, 1], [8, 1, 8, 2], [8, 1, 16, 1], [12, 1, 4, 2], [12, 1, 8, 1], [12, 1, 32, 1], [16, 1, 64, 1], [24, 1, 16, 2], [24, 1, 32, 1], [48, 1, 128, 1]], 'aut_supersolvable': True, 'aut_tex': 'C_2.C_2^6.C_2^6', 'autcent_abelian': False, 'autcent_cyclic': False, 'autcent_exponent': 8, 'autcent_group': None, 'autcent_hash': 5291121797936743277, 'autcent_nilpotent': True, 'autcent_order': 8192, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': True, 'autcent_tex': 'C_2.C_2^6.C_2^6', 'autcentquo_abelian': True, 'autcentquo_cyclic': True, 'autcentquo_exponent': 1, 'autcentquo_group': '1.1', 'autcentquo_hash': 1, 'autcentquo_nilpotent': True, 'autcentquo_order': 1, 'autcentquo_solvable': True, 'autcentquo_supersolvable': True, 'autcentquo_tex': 'C_1', 'cc_stats': [[1, 1, 1], [2, 1, 7], [3, 1, 2], [4, 1, 24], [6, 1, 14], [8, 1, 32], [12, 1, 48], [16, 1, 64], [24, 1, 64], [48, 1, 128]], 'center_label': '384.5396', 'center_order': 384, 'central_product': True, 'central_quotient': '1.1', 'commutator_count': 0, 'commutator_label': '1.1', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '3.1'], 'composition_length': 8, 'conjugacy_classes_known': True, 'counter': 5396, 'cyclic': False, 'derived_length': 1, 'dihedral': False, 'direct_factorization': [['16.1', 1], ['2.1', 1], ['3.1', 1], ['4.1', 1]], 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 7], [3, 1, 2, 1], [4, 1, 2, 12], [6, 1, 2, 7], [8, 1, 4, 8], [12, 1, 4, 12], [16, 1, 8, 8], [24, 1, 8, 8], [48, 1, 16, 8]], 'element_repr_type': 'PC', 'elementary': 2, 'eulerian_function': 2184, 'exponent': 48, 'exponents_of_order': [7, 1], 'factors_of_aut_order': [2], 'factors_of_order': [2, 3], 'faithful_reps': [], 'familial': False, 'frattini_label': '16.5', 'frattini_quotient': '24.15', 'hash': 5396, 'hyperelementary': 2, 'inner_abelian': True, 'inner_cyclic': True, 'inner_exponent': 1, 'inner_gen_orders': [1, 1, 1], 'inner_gens': [[1, 2, 8], [1, 2, 8], [1, 2, 8]], 'inner_hash': 1, 'inner_nilpotent': True, 'inner_order': 1, 'inner_split': True, 'inner_tex': 'C_1', 'inner_used': [], 'irrC_degree': -1, 'irrQ_degree': -1, 'irrQ_dim': -1, 'irrR_degree': -1, 'irrep_stats': [[1, 384]], 'label': '384.5396', 'linC_count': None, 'linC_degree': 3, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': None, 'linQ_degree_count': None, 'linQ_dim': None, 'linQ_dim_count': None, 'linR_count': None, 'linR_degree': None, 'maximal_subgroups_known': True, 'metabelian': True, 'metacyclic': False, 'monomial': True, 'name': 'C2*C4*C48', 'ngens': 8, 'nilpotency_class': 1, 'nilpotent': True, 'normal_counts': [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': 24, 'number_characteristic_subgroups': 32, 'number_conjugacy_classes': 384, 'number_divisions': 72, 'number_normal_subgroups': 216, 'number_subgroup_autclasses': 84, 'number_subgroup_classes': 216, 'number_subgroups': 216, 'old_label': None, 'order': 384, 'order_factorization_type': 51, 'order_stats': [[1, 1], [2, 7], [3, 2], [4, 24], [6, 14], [8, 32], [12, 48], [16, 64], [24, 64], [48, 128]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': True, 'outer_exponent': 8, 'outer_gen_orders': [4, 4, 4, 4, 2, 4, 8], 'outer_gen_pows': [0, 0, 0, 0, 0, 0, 0], 'outer_gens': [[197, 103, 303], [197, 294, 188], [1, 294, 92], [1, 2, 286], [193, 198, 136], [197, 295, 345], [193, 294, 351]], 'outer_group': None, 'outer_hash': 5291121797936743277, 'outer_nilpotent': True, 'outer_order': 8192, 'outer_permdeg': 66, 'outer_perms': [131585800943504141421691947756160217564611413839987541073927750741496240026309518598501578063, 426980550998208742415749287653250809351119448717057694071196010638650495550744362409224413816, 221804377781062212559944988681955963208983107527403306860462637509706968754749876013319097972, 391705989399618556626647001600460769723246008152436749823503080575934814558671449296138073585, 418732888015046416061402017818287932743981524795434969892634342548836824540699983737945508759, 473546061909994158464919788339815014701950109796528110342876500017975692821211434761290870818, 429389411188626713056789528710399646218317706826701484281904757421975343806261385136572577530], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'C_2.C_2^6.C_2^6', 'pc_rank': 3, 'perfect': False, 'permutation_degree': 25, 'pgroup': 0, 'primary_abelian_invariants': [2, 4, 16, 3], 'quasisimple': False, 'rank': 3, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 8], [2, 20], [4, 20], [8, 16], [16, 8]], 'representations': {'PC': {'code': 192757852000956312484353, 'gens': [1, 2, 4], 'pres': [8, -2, -2, -2, -2, -2, -2, -2, -3, 41, 91, 116, 141, 166]}, 'GLZN': {'d': 2, 'p': 28, 'gens': [31477, 22149, 329295, 548825, 28573, 22345, 562037, 285389]}, 'GLZq': {'d': 2, 'q': 32, 'gens': [828161, 557073, 573953, 100549, 294921, 124284, 712973, 98307]}, 'Perm': {'d': 25, 'gens': [101282746544179200, 3474184067676241920000, 620448401733239439360000, 4, 47039662393456320, 1126433629785784320000, 19918769973905760, 6423384156578664]}}, 'schur_multiplier': [2, 2, 4], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 4, 48], 'solvability_type': 2, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'C_2\\times C_4\\times C_{48}', 'transitive_degree': 384, 'wreath_data': None, 'wreath_product': False}
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gps_conj_classes • Show schema
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id: 104830599
{'aut_label': '1A', 'centralizer': '1.a1', 'counter': 1, 'group_counter': 5396, 'group_order': 384, 'label': '1A', 'order': 1, 'powers': [1, 1], 'representative': 0, 'size': 1}
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id: 104830710
{'aut_label': '2A', 'centralizer': '1.a1', 'counter': 2, 'group_counter': 5396, 'group_order': 384, 'label': '2A', 'order': 2, 'powers': [1, 2], 'representative': 1, 'size': 1}
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id: 104830821
{'aut_label': '2A', 'centralizer': '1.a1', 'counter': 3, 'group_counter': 5396, 'group_order': 384, 'label': '2B', 'order': 2, 'powers': [1, 3], 'representative': 193, 'size': 1}
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id: 104830917
{'aut_label': '2A', 'centralizer': '1.a1', 'counter': 4, 'group_counter': 5396, 'group_order': 384, 'label': '2C', 'order': 2, 'powers': [1, 4], 'representative': 5, 'size': 1}
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id: 104830928
{'aut_label': '2A', 'centralizer': '1.a1', 'counter': 5, 'group_counter': 5396, 'group_order': 384, 'label': '2D', 'order': 2, 'powers': [1, 5], 'representative': 197, 'size': 1}
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id: 104830939
{'aut_label': '2E', 'centralizer': '1.a1', 'counter': 6, 'group_counter': 5396, 'group_order': 384, 'label': '2E', 'order': 2, 'powers': [1, 6], 'representative': 4, 'size': 1}
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id: 104830950
{'aut_label': '2E', 'centralizer': '1.a1', 'counter': 7, 'group_counter': 5396, 'group_order': 384, 'label': '2F', 'order': 2, 'powers': [1, 7], 'representative': 196, 'size': 1}
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id: 104830961
{'aut_label': '2G', 'centralizer': '1.a1', 'counter': 8, 'group_counter': 5396, 'group_order': 384, 'label': '2G', 'order': 2, 'powers': [1, 8], 'representative': 192, 'size': 1}
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id: 104830972
{'aut_label': '3A1', 'centralizer': '1.a1', 'counter': 9, 'group_counter': 5396, 'group_order': 384, 'label': '3A1', 'order': 3, 'powers': [10, 1], 'representative': 256, 'size': 1}
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id: 104830600
{'aut_label': '3A1', 'centralizer': '1.a1', 'counter': 10, 'group_counter': 5396, 'group_order': 384, 'label': '3A-1', 'order': 3, 'powers': [9, 1], 'representative': 128, 'size': 1}
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id: 104830611
{'aut_label': '4A1', 'centralizer': '1.a1', 'counter': 11, 'group_counter': 5396, 'group_order': 384, 'label': '4A1', 'order': 4, 'powers': [6, 12], 'representative': 6, 'size': 1}
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id: 104830622
{'aut_label': '4A1', 'centralizer': '1.a1', 'counter': 12, 'group_counter': 5396, 'group_order': 384, 'label': '4A-1', 'order': 4, 'powers': [6, 11], 'representative': 2, 'size': 1}
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id: 104830633
{'aut_label': '4A1', 'centralizer': '1.a1', 'counter': 13, 'group_counter': 5396, 'group_order': 384, 'label': '4B1', 'order': 4, 'powers': [6, 14], 'representative': 198, 'size': 1}
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id: 104830644
{'aut_label': '4A1', 'centralizer': '1.a1', 'counter': 14, 'group_counter': 5396, 'group_order': 384, 'label': '4B-1', 'order': 4, 'powers': [6, 13], 'representative': 194, 'size': 1}
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id: 104830655
{'aut_label': '4A1', 'centralizer': '1.a1', 'counter': 15, 'group_counter': 5396, 'group_order': 384, 'label': '4C1', 'order': 4, 'powers': [7, 16], 'representative': 102, 'size': 1}
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id: 104830666
{'aut_label': '4A1', 'centralizer': '1.a1', 'counter': 16, 'group_counter': 5396, 'group_order': 384, 'label': '4C-1', 'order': 4, 'powers': [7, 15], 'representative': 290, 'size': 1}
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id: 104830677
{'aut_label': '4D1', 'centralizer': '1.a1', 'counter': 17, 'group_counter': 5396, 'group_order': 384, 'label': '4D1', 'order': 4, 'powers': [8, 18], 'representative': 97, 'size': 1}
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id: 104830688
{'aut_label': '4D1', 'centralizer': '1.a1', 'counter': 18, 'group_counter': 5396, 'group_order': 384, 'label': '4D-1', 'order': 4, 'powers': [8, 17], 'representative': 289, 'size': 1}
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id: 104830699
{'aut_label': '4A1', 'centralizer': '1.a1', 'counter': 19, 'group_counter': 5396, 'group_order': 384, 'label': '4E1', 'order': 4, 'powers': [7, 20], 'representative': 98, 'size': 1}
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id: 104830711
{'aut_label': '4A1', 'centralizer': '1.a1', 'counter': 20, 'group_counter': 5396, 'group_order': 384, 'label': '4E-1', 'order': 4, 'powers': [7, 19], 'representative': 294, 'size': 1}
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id: 104830722
{'aut_label': '4D1', 'centralizer': '1.a1', 'counter': 21, 'group_counter': 5396, 'group_order': 384, 'label': '4F1', 'order': 4, 'powers': [8, 22], 'representative': 101, 'size': 1}
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id: 104830733
{'aut_label': '4D1', 'centralizer': '1.a1', 'counter': 22, 'group_counter': 5396, 'group_order': 384, 'label': '4F-1', 'order': 4, 'powers': [8, 21], 'representative': 293, 'size': 1}
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id: 104830744
{'aut_label': '4A1', 'centralizer': '1.a1', 'counter': 23, 'group_counter': 5396, 'group_order': 384, 'label': '4G1', 'order': 4, 'powers': [6, 24], 'representative': 7, 'size': 1}
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id: 104830755
{'aut_label': '4A1', 'centralizer': '1.a1', 'counter': 24, 'group_counter': 5396, 'group_order': 384, 'label': '4G-1', 'order': 4, 'powers': [6, 23], 'representative': 3, 'size': 1}
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id: 104830766
{'aut_label': '4A1', 'centralizer': '1.a1', 'counter': 25, 'group_counter': 5396, 'group_order': 384, 'label': '4H1', 'order': 4, 'powers': [6, 26], 'representative': 199, 'size': 1}
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id: 104830777
{'aut_label': '4A1', 'centralizer': '1.a1', 'counter': 26, 'group_counter': 5396, 'group_order': 384, 'label': '4H-1', 'order': 4, 'powers': [6, 25], 'representative': 195, 'size': 1}
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id: 104830788
{'aut_label': '4A1', 'centralizer': '1.a1', 'counter': 27, 'group_counter': 5396, 'group_order': 384, 'label': '4I1', 'order': 4, 'powers': [7, 28], 'representative': 103, 'size': 1}
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id: 104830799
{'aut_label': '4A1', 'centralizer': '1.a1', 'counter': 28, 'group_counter': 5396, 'group_order': 384, 'label': '4I-1', 'order': 4, 'powers': [7, 27], 'representative': 291, 'size': 1}
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id: 104830810
{'aut_label': '4A1', 'centralizer': '1.a1', 'counter': 29, 'group_counter': 5396, 'group_order': 384, 'label': '4J1', 'order': 4, 'powers': [7, 30], 'representative': 99, 'size': 1}
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id: 104830822
{'aut_label': '4A1', 'centralizer': '1.a1', 'counter': 30, 'group_counter': 5396, 'group_order': 384, 'label': '4J-1', 'order': 4, 'powers': [7, 29], 'representative': 295, 'size': 1}
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id: 104830833
{'aut_label': '4K1', 'centralizer': '1.a1', 'counter': 31, 'group_counter': 5396, 'group_order': 384, 'label': '4K1', 'order': 4, 'powers': [8, 32], 'representative': 100, 'size': 1}
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id: 104830844
{'aut_label': '4K1', 'centralizer': '1.a1', 'counter': 32, 'group_counter': 5396, 'group_order': 384, 'label': '4K-1', 'order': 4, 'powers': [8, 31], 'representative': 292, 'size': 1}
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id: 104830855
{'aut_label': '4L1', 'centralizer': '1.a1', 'counter': 33, 'group_counter': 5396, 'group_order': 384, 'label': '4L1', 'order': 4, 'powers': [8, 34], 'representative': 96, 'size': 1}
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id: 104830866
{'aut_label': '4L1', 'centralizer': '1.a1', 'counter': 34, 'group_counter': 5396, 'group_order': 384, 'label': '4L-1', 'order': 4, 'powers': [8, 33], 'representative': 288, 'size': 1}
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id: 104830877
{'aut_label': '6A1', 'centralizer': '1.a1', 'counter': 35, 'group_counter': 5396, 'group_order': 384, 'label': '6A1', 'order': 6, 'powers': [9, 2], 'representative': 129, 'size': 1}
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id: 104830888
{'aut_label': '6A1', 'centralizer': '1.a1', 'counter': 36, 'group_counter': 5396, 'group_order': 384, 'label': '6A-1', 'order': 6, 'powers': [10, 2], 'representative': 257, 'size': 1}
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id: 104830899
{'aut_label': '6A1', 'centralizer': '1.a1', 'counter': 37, 'group_counter': 5396, 'group_order': 384, 'label': '6B1', 'order': 6, 'powers': [10, 3], 'representative': 65, 'size': 1}
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id: 104830910
{'aut_label': '6A1', 'centralizer': '1.a1', 'counter': 38, 'group_counter': 5396, 'group_order': 384, 'label': '6B-1', 'order': 6, 'powers': [9, 3], 'representative': 321, 'size': 1}
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id: 104830916
{'aut_label': '6A1', 'centralizer': '1.a1', 'counter': 39, 'group_counter': 5396, 'group_order': 384, 'label': '6C1', 'order': 6, 'powers': [9, 4], 'representative': 133, 'size': 1}
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id: 104830918
{'aut_label': '6A1', 'centralizer': '1.a1', 'counter': 40, 'group_counter': 5396, 'group_order': 384, 'label': '6C-1', 'order': 6, 'powers': [10, 4], 'representative': 261, 'size': 1}
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id: 104830919
{'aut_label': '6A1', 'centralizer': '1.a1', 'counter': 41, 'group_counter': 5396, 'group_order': 384, 'label': '6D1', 'order': 6, 'powers': [10, 5], 'representative': 69, 'size': 1}
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id: 104830920
{'aut_label': '6A1', 'centralizer': '1.a1', 'counter': 42, 'group_counter': 5396, 'group_order': 384, 'label': '6D-1', 'order': 6, 'powers': [9, 5], 'representative': 325, 'size': 1}
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id: 104830921
{'aut_label': '6E1', 'centralizer': '1.a1', 'counter': 43, 'group_counter': 5396, 'group_order': 384, 'label': '6E1', 'order': 6, 'powers': [10, 6], 'representative': 260, 'size': 1}
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id: 104830922
{'aut_label': '6E1', 'centralizer': '1.a1', 'counter': 44, 'group_counter': 5396, 'group_order': 384, 'label': '6E-1', 'order': 6, 'powers': [9, 6], 'representative': 132, 'size': 1}
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id: 104830923
{'aut_label': '6E1', 'centralizer': '1.a1', 'counter': 45, 'group_counter': 5396, 'group_order': 384, 'label': '6F1', 'order': 6, 'powers': [10, 7], 'representative': 68, 'size': 1}
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id: 104830924
{'aut_label': '6E1', 'centralizer': '1.a1', 'counter': 46, 'group_counter': 5396, 'group_order': 384, 'label': '6F-1', 'order': 6, 'powers': [9, 7], 'representative': 324, 'size': 1}
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id: 104830925
{'aut_label': '6G1', 'centralizer': '1.a1', 'counter': 47, 'group_counter': 5396, 'group_order': 384, 'label': '6G1', 'order': 6, 'powers': [10, 8], 'representative': 64, 'size': 1}
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id: 104830926
{'aut_label': '6G1', 'centralizer': '1.a1', 'counter': 48, 'group_counter': 5396, 'group_order': 384, 'label': '6G-1', 'order': 6, 'powers': [9, 8], 'representative': 320, 'size': 1}
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id: 104830927
{'aut_label': '8A1', 'centralizer': '1.a1', 'counter': 49, 'group_counter': 5396, 'group_order': 384, 'label': '8A1', 'order': 8, 'powers': [31, 51], 'representative': 54, 'size': 1}
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id: 104830929
{'aut_label': '8A1', 'centralizer': '1.a1', 'counter': 50, 'group_counter': 5396, 'group_order': 384, 'label': '8A-1', 'order': 8, 'powers': [32, 52], 'representative': 338, 'size': 1}
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id: 104830930
{'aut_label': '8A1', 'centralizer': '1.a1', 'counter': 51, 'group_counter': 5396, 'group_order': 384, 'label': '8A3', 'order': 8, 'powers': [32, 49], 'representative': 146, 'size': 1}
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id: 104830931
{'aut_label': '8A1', 'centralizer': '1.a1', 'counter': 52, 'group_counter': 5396, 'group_order': 384, 'label': '8A-3', 'order': 8, 'powers': [31, 50], 'representative': 246, 'size': 1}
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id: 104830932
{'aut_label': '8B1', 'centralizer': '1.a1', 'counter': 53, 'group_counter': 5396, 'group_order': 384, 'label': '8B1', 'order': 8, 'powers': [33, 55], 'representative': 49, 'size': 1}
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id: 104830933
{'aut_label': '8B1', 'centralizer': '1.a1', 'counter': 54, 'group_counter': 5396, 'group_order': 384, 'label': '8B-1', 'order': 8, 'powers': [34, 56], 'representative': 337, 'size': 1}
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id: 104830934
{'aut_label': '8B1', 'centralizer': '1.a1', 'counter': 55, 'group_counter': 5396, 'group_order': 384, 'label': '8B3', 'order': 8, 'powers': [34, 53], 'representative': 145, 'size': 1}
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id: 104830935
{'aut_label': '8B1', 'centralizer': '1.a1', 'counter': 56, 'group_counter': 5396, 'group_order': 384, 'label': '8B-3', 'order': 8, 'powers': [33, 54], 'representative': 241, 'size': 1}
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id: 104830936
{'aut_label': '8A1', 'centralizer': '1.a1', 'counter': 57, 'group_counter': 5396, 'group_order': 384, 'label': '8C1', 'order': 8, 'powers': [31, 59], 'representative': 50, 'size': 1}
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id: 104830937
{'aut_label': '8A1', 'centralizer': '1.a1', 'counter': 58, 'group_counter': 5396, 'group_order': 384, 'label': '8C-1', 'order': 8, 'powers': [32, 60], 'representative': 342, 'size': 1}
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id: 104830938
{'aut_label': '8A1', 'centralizer': '1.a1', 'counter': 59, 'group_counter': 5396, 'group_order': 384, 'label': '8C3', 'order': 8, 'powers': [32, 57], 'representative': 150, 'size': 1}
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id: 104830940
{'aut_label': '8A1', 'centralizer': '1.a1', 'counter': 60, 'group_counter': 5396, 'group_order': 384, 'label': '8C-3', 'order': 8, 'powers': [31, 58], 'representative': 242, 'size': 1}
-
id: 104830941
{'aut_label': '8B1', 'centralizer': '1.a1', 'counter': 61, 'group_counter': 5396, 'group_order': 384, 'label': '8D1', 'order': 8, 'powers': [33, 63], 'representative': 53, 'size': 1}
-
id: 104830942
{'aut_label': '8B1', 'centralizer': '1.a1', 'counter': 62, 'group_counter': 5396, 'group_order': 384, 'label': '8D-1', 'order': 8, 'powers': [34, 64], 'representative': 341, 'size': 1}
-
id: 104830943
{'aut_label': '8B1', 'centralizer': '1.a1', 'counter': 63, 'group_counter': 5396, 'group_order': 384, 'label': '8D3', 'order': 8, 'powers': [34, 61], 'representative': 149, 'size': 1}
-
id: 104830944
{'aut_label': '8B1', 'centralizer': '1.a1', 'counter': 64, 'group_counter': 5396, 'group_order': 384, 'label': '8D-3', 'order': 8, 'powers': [33, 62], 'representative': 245, 'size': 1}
-
id: 104830945
{'aut_label': '8A1', 'centralizer': '1.a1', 'counter': 65, 'group_counter': 5396, 'group_order': 384, 'label': '8E1', 'order': 8, 'powers': [31, 67], 'representative': 55, 'size': 1}
-
id: 104830946
{'aut_label': '8A1', 'centralizer': '1.a1', 'counter': 66, 'group_counter': 5396, 'group_order': 384, 'label': '8E-1', 'order': 8, 'powers': [32, 68], 'representative': 339, 'size': 1}
-
id: 104830947
{'aut_label': '8A1', 'centralizer': '1.a1', 'counter': 67, 'group_counter': 5396, 'group_order': 384, 'label': '8E3', 'order': 8, 'powers': [32, 65], 'representative': 147, 'size': 1}
-
id: 104830948
{'aut_label': '8A1', 'centralizer': '1.a1', 'counter': 68, 'group_counter': 5396, 'group_order': 384, 'label': '8E-3', 'order': 8, 'powers': [31, 66], 'representative': 247, 'size': 1}
-
id: 104830949
{'aut_label': '8A1', 'centralizer': '1.a1', 'counter': 69, 'group_counter': 5396, 'group_order': 384, 'label': '8F1', 'order': 8, 'powers': [31, 71], 'representative': 51, 'size': 1}
-
id: 104830951
{'aut_label': '8A1', 'centralizer': '1.a1', 'counter': 70, 'group_counter': 5396, 'group_order': 384, 'label': '8F-1', 'order': 8, 'powers': [32, 72], 'representative': 343, 'size': 1}
-
id: 104830952
{'aut_label': '8A1', 'centralizer': '1.a1', 'counter': 71, 'group_counter': 5396, 'group_order': 384, 'label': '8F3', 'order': 8, 'powers': [32, 69], 'representative': 151, 'size': 1}
-
id: 104830953
{'aut_label': '8A1', 'centralizer': '1.a1', 'counter': 72, 'group_counter': 5396, 'group_order': 384, 'label': '8F-3', 'order': 8, 'powers': [31, 70], 'representative': 243, 'size': 1}
-
id: 104830954
{'aut_label': '8G1', 'centralizer': '1.a1', 'counter': 73, 'group_counter': 5396, 'group_order': 384, 'label': '8G1', 'order': 8, 'powers': [33, 75], 'representative': 48, 'size': 1}
-
id: 104830955
{'aut_label': '8G1', 'centralizer': '1.a1', 'counter': 74, 'group_counter': 5396, 'group_order': 384, 'label': '8G-1', 'order': 8, 'powers': [34, 76], 'representative': 336, 'size': 1}
-
id: 104830956
{'aut_label': '8G1', 'centralizer': '1.a1', 'counter': 75, 'group_counter': 5396, 'group_order': 384, 'label': '8G3', 'order': 8, 'powers': [34, 73], 'representative': 144, 'size': 1}
-
id: 104830957
{'aut_label': '8G1', 'centralizer': '1.a1', 'counter': 76, 'group_counter': 5396, 'group_order': 384, 'label': '8G-3', 'order': 8, 'powers': [33, 74], 'representative': 240, 'size': 1}
-
id: 104830958
{'aut_label': '8G1', 'centralizer': '1.a1', 'counter': 77, 'group_counter': 5396, 'group_order': 384, 'label': '8H1', 'order': 8, 'powers': [33, 79], 'representative': 52, 'size': 1}
-
id: 104830959
{'aut_label': '8G1', 'centralizer': '1.a1', 'counter': 78, 'group_counter': 5396, 'group_order': 384, 'label': '8H-1', 'order': 8, 'powers': [34, 80], 'representative': 340, 'size': 1}
-
id: 104830960
{'aut_label': '8G1', 'centralizer': '1.a1', 'counter': 79, 'group_counter': 5396, 'group_order': 384, 'label': '8H3', 'order': 8, 'powers': [34, 77], 'representative': 148, 'size': 1}
-
id: 104830962
{'aut_label': '8G1', 'centralizer': '1.a1', 'counter': 80, 'group_counter': 5396, 'group_order': 384, 'label': '8H-3', 'order': 8, 'powers': [33, 78], 'representative': 244, 'size': 1}
-
id: 104830963
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 81, 'group_counter': 5396, 'group_order': 384, 'label': '12A1', 'order': 12, 'powers': [43, 11], 'representative': 130, 'size': 1}
-
id: 104830964
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 82, 'group_counter': 5396, 'group_order': 384, 'label': '12A-1', 'order': 12, 'powers': [44, 12], 'representative': 262, 'size': 1}
-
id: 104830965
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 83, 'group_counter': 5396, 'group_order': 384, 'label': '12A5', 'order': 12, 'powers': [44, 11], 'representative': 258, 'size': 1}
-
id: 104830966
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 84, 'group_counter': 5396, 'group_order': 384, 'label': '12A-5', 'order': 12, 'powers': [43, 12], 'representative': 134, 'size': 1}
-
id: 104830967
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 85, 'group_counter': 5396, 'group_order': 384, 'label': '12B1', 'order': 12, 'powers': [44, 13], 'representative': 66, 'size': 1}
-
id: 104830968
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 86, 'group_counter': 5396, 'group_order': 384, 'label': '12B-1', 'order': 12, 'powers': [43, 14], 'representative': 326, 'size': 1}
-
id: 104830969
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 87, 'group_counter': 5396, 'group_order': 384, 'label': '12B5', 'order': 12, 'powers': [43, 13], 'representative': 322, 'size': 1}
-
id: 104830970
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 88, 'group_counter': 5396, 'group_order': 384, 'label': '12B-5', 'order': 12, 'powers': [44, 14], 'representative': 70, 'size': 1}
-
id: 104830971
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 89, 'group_counter': 5396, 'group_order': 384, 'label': '12C1', 'order': 12, 'powers': [45, 15], 'representative': 34, 'size': 1}
-
id: 104830973
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 90, 'group_counter': 5396, 'group_order': 384, 'label': '12C-1', 'order': 12, 'powers': [46, 16], 'representative': 358, 'size': 1}
-
id: 104830974
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 91, 'group_counter': 5396, 'group_order': 384, 'label': '12C5', 'order': 12, 'powers': [46, 15], 'representative': 162, 'size': 1}
-
id: 104830975
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 92, 'group_counter': 5396, 'group_order': 384, 'label': '12C-5', 'order': 12, 'powers': [45, 16], 'representative': 230, 'size': 1}
-
id: 104830976
{'aut_label': '12D1', 'centralizer': '1.a1', 'counter': 93, 'group_counter': 5396, 'group_order': 384, 'label': '12D1', 'order': 12, 'powers': [47, 17], 'representative': 33, 'size': 1}
-
id: 104830977
{'aut_label': '12D1', 'centralizer': '1.a1', 'counter': 94, 'group_counter': 5396, 'group_order': 384, 'label': '12D-1', 'order': 12, 'powers': [48, 18], 'representative': 353, 'size': 1}
-
id: 104830978
{'aut_label': '12D1', 'centralizer': '1.a1', 'counter': 95, 'group_counter': 5396, 'group_order': 384, 'label': '12D5', 'order': 12, 'powers': [48, 17], 'representative': 161, 'size': 1}
-
id: 104830979
{'aut_label': '12D1', 'centralizer': '1.a1', 'counter': 96, 'group_counter': 5396, 'group_order': 384, 'label': '12D-5', 'order': 12, 'powers': [47, 18], 'representative': 225, 'size': 1}
-
id: 104830980
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 97, 'group_counter': 5396, 'group_order': 384, 'label': '12E1', 'order': 12, 'powers': [45, 19], 'representative': 38, 'size': 1}
-
id: 104830981
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 98, 'group_counter': 5396, 'group_order': 384, 'label': '12E-1', 'order': 12, 'powers': [46, 20], 'representative': 354, 'size': 1}
-
id: 104830982
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 99, 'group_counter': 5396, 'group_order': 384, 'label': '12E5', 'order': 12, 'powers': [46, 19], 'representative': 166, 'size': 1}
-
id: 104830601
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 100, 'group_counter': 5396, 'group_order': 384, 'label': '12E-5', 'order': 12, 'powers': [45, 20], 'representative': 226, 'size': 1}
-
id: 104830602
{'aut_label': '12D1', 'centralizer': '1.a1', 'counter': 101, 'group_counter': 5396, 'group_order': 384, 'label': '12F1', 'order': 12, 'powers': [47, 21], 'representative': 37, 'size': 1}
-
id: 104830603
{'aut_label': '12D1', 'centralizer': '1.a1', 'counter': 102, 'group_counter': 5396, 'group_order': 384, 'label': '12F-1', 'order': 12, 'powers': [48, 22], 'representative': 357, 'size': 1}
-
id: 104830604
{'aut_label': '12D1', 'centralizer': '1.a1', 'counter': 103, 'group_counter': 5396, 'group_order': 384, 'label': '12F5', 'order': 12, 'powers': [48, 21], 'representative': 165, 'size': 1}
-
id: 104830605
{'aut_label': '12D1', 'centralizer': '1.a1', 'counter': 104, 'group_counter': 5396, 'group_order': 384, 'label': '12F-5', 'order': 12, 'powers': [47, 22], 'representative': 229, 'size': 1}
-
id: 104830606
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 105, 'group_counter': 5396, 'group_order': 384, 'label': '12G1', 'order': 12, 'powers': [43, 23], 'representative': 131, 'size': 1}
-
id: 104830607
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 106, 'group_counter': 5396, 'group_order': 384, 'label': '12G-1', 'order': 12, 'powers': [44, 24], 'representative': 263, 'size': 1}
-
id: 104830608
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 107, 'group_counter': 5396, 'group_order': 384, 'label': '12G5', 'order': 12, 'powers': [44, 23], 'representative': 259, 'size': 1}
-
id: 104830609
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 108, 'group_counter': 5396, 'group_order': 384, 'label': '12G-5', 'order': 12, 'powers': [43, 24], 'representative': 135, 'size': 1}
-
id: 104830610
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 109, 'group_counter': 5396, 'group_order': 384, 'label': '12H1', 'order': 12, 'powers': [44, 25], 'representative': 67, 'size': 1}
-
id: 104830612
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 110, 'group_counter': 5396, 'group_order': 384, 'label': '12H-1', 'order': 12, 'powers': [43, 26], 'representative': 327, 'size': 1}
-
id: 104830613
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 111, 'group_counter': 5396, 'group_order': 384, 'label': '12H5', 'order': 12, 'powers': [43, 25], 'representative': 323, 'size': 1}
-
id: 104830614
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 112, 'group_counter': 5396, 'group_order': 384, 'label': '12H-5', 'order': 12, 'powers': [44, 26], 'representative': 71, 'size': 1}
-
id: 104830615
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 113, 'group_counter': 5396, 'group_order': 384, 'label': '12I1', 'order': 12, 'powers': [45, 27], 'representative': 35, 'size': 1}
-
id: 104830616
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 114, 'group_counter': 5396, 'group_order': 384, 'label': '12I-1', 'order': 12, 'powers': [46, 28], 'representative': 359, 'size': 1}
-
id: 104830617
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 115, 'group_counter': 5396, 'group_order': 384, 'label': '12I5', 'order': 12, 'powers': [46, 27], 'representative': 163, 'size': 1}
-
id: 104830618
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 116, 'group_counter': 5396, 'group_order': 384, 'label': '12I-5', 'order': 12, 'powers': [45, 28], 'representative': 231, 'size': 1}
-
id: 104830619
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 117, 'group_counter': 5396, 'group_order': 384, 'label': '12J1', 'order': 12, 'powers': [45, 29], 'representative': 39, 'size': 1}
-
id: 104830620
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 118, 'group_counter': 5396, 'group_order': 384, 'label': '12J-1', 'order': 12, 'powers': [46, 30], 'representative': 355, 'size': 1}
-
id: 104830621
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 119, 'group_counter': 5396, 'group_order': 384, 'label': '12J5', 'order': 12, 'powers': [46, 29], 'representative': 167, 'size': 1}
-
id: 104830623
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 120, 'group_counter': 5396, 'group_order': 384, 'label': '12J-5', 'order': 12, 'powers': [45, 30], 'representative': 227, 'size': 1}
-
id: 104830624
{'aut_label': '12K1', 'centralizer': '1.a1', 'counter': 121, 'group_counter': 5396, 'group_order': 384, 'label': '12K1', 'order': 12, 'powers': [47, 31], 'representative': 36, 'size': 1}
-
id: 104830625
{'aut_label': '12K1', 'centralizer': '1.a1', 'counter': 122, 'group_counter': 5396, 'group_order': 384, 'label': '12K-1', 'order': 12, 'powers': [48, 32], 'representative': 356, 'size': 1}
-
id: 104830626
{'aut_label': '12K1', 'centralizer': '1.a1', 'counter': 123, 'group_counter': 5396, 'group_order': 384, 'label': '12K5', 'order': 12, 'powers': [48, 31], 'representative': 164, 'size': 1}
-
id: 104830627
{'aut_label': '12K1', 'centralizer': '1.a1', 'counter': 124, 'group_counter': 5396, 'group_order': 384, 'label': '12K-5', 'order': 12, 'powers': [47, 32], 'representative': 228, 'size': 1}
-
id: 104830628
{'aut_label': '12L1', 'centralizer': '1.a1', 'counter': 125, 'group_counter': 5396, 'group_order': 384, 'label': '12L1', 'order': 12, 'powers': [47, 33], 'representative': 32, 'size': 1}
-
id: 104830629
{'aut_label': '12L1', 'centralizer': '1.a1', 'counter': 126, 'group_counter': 5396, 'group_order': 384, 'label': '12L-1', 'order': 12, 'powers': [48, 34], 'representative': 352, 'size': 1}
-
id: 104830630
{'aut_label': '12L1', 'centralizer': '1.a1', 'counter': 127, 'group_counter': 5396, 'group_order': 384, 'label': '12L5', 'order': 12, 'powers': [48, 33], 'representative': 160, 'size': 1}
-
id: 104830631
{'aut_label': '12L1', 'centralizer': '1.a1', 'counter': 128, 'group_counter': 5396, 'group_order': 384, 'label': '12L-5', 'order': 12, 'powers': [47, 34], 'representative': 224, 'size': 1}
-
id: 104830632
{'aut_label': '16A1', 'centralizer': '1.a1', 'counter': 129, 'group_counter': 5396, 'group_order': 384, 'label': '16A1', 'order': 16, 'powers': [73, 131], 'representative': 24, 'size': 1}
-
id: 104830634
{'aut_label': '16A1', 'centralizer': '1.a1', 'counter': 130, 'group_counter': 5396, 'group_order': 384, 'label': '16A-1', 'order': 16, 'powers': [74, 132], 'representative': 360, 'size': 1}
-
id: 104830635
{'aut_label': '16A1', 'centralizer': '1.a1', 'counter': 131, 'group_counter': 5396, 'group_order': 384, 'label': '16A3', 'order': 16, 'powers': [75, 136], 'representative': 72, 'size': 1}
-
id: 104830636
{'aut_label': '16A1', 'centralizer': '1.a1', 'counter': 132, 'group_counter': 5396, 'group_order': 384, 'label': '16A-3', 'order': 16, 'powers': [76, 135], 'representative': 312, 'size': 1}
-
id: 104830637
{'aut_label': '16A1', 'centralizer': '1.a1', 'counter': 133, 'group_counter': 5396, 'group_order': 384, 'label': '16A5', 'order': 16, 'powers': [76, 130], 'representative': 120, 'size': 1}
-
id: 104830638
{'aut_label': '16A1', 'centralizer': '1.a1', 'counter': 134, 'group_counter': 5396, 'group_order': 384, 'label': '16A-5', 'order': 16, 'powers': [75, 129], 'representative': 264, 'size': 1}
-
id: 104830639
{'aut_label': '16A1', 'centralizer': '1.a1', 'counter': 135, 'group_counter': 5396, 'group_order': 384, 'label': '16A7', 'order': 16, 'powers': [74, 133], 'representative': 168, 'size': 1}
-
id: 104830640
{'aut_label': '16A1', 'centralizer': '1.a1', 'counter': 136, 'group_counter': 5396, 'group_order': 384, 'label': '16A-7', 'order': 16, 'powers': [73, 134], 'representative': 216, 'size': 1}
-
id: 104830641
{'aut_label': '16A1', 'centralizer': '1.a1', 'counter': 137, 'group_counter': 5396, 'group_order': 384, 'label': '16B1', 'order': 16, 'powers': [73, 139], 'representative': 28, 'size': 1}
-
id: 104830642
{'aut_label': '16A1', 'centralizer': '1.a1', 'counter': 138, 'group_counter': 5396, 'group_order': 384, 'label': '16B-1', 'order': 16, 'powers': [74, 140], 'representative': 364, 'size': 1}
-
id: 104830643
{'aut_label': '16A1', 'centralizer': '1.a1', 'counter': 139, 'group_counter': 5396, 'group_order': 384, 'label': '16B3', 'order': 16, 'powers': [75, 144], 'representative': 76, 'size': 1}
-
id: 104830645
{'aut_label': '16A1', 'centralizer': '1.a1', 'counter': 140, 'group_counter': 5396, 'group_order': 384, 'label': '16B-3', 'order': 16, 'powers': [76, 143], 'representative': 316, 'size': 1}
-
id: 104830646
{'aut_label': '16A1', 'centralizer': '1.a1', 'counter': 141, 'group_counter': 5396, 'group_order': 384, 'label': '16B5', 'order': 16, 'powers': [76, 138], 'representative': 124, 'size': 1}
-
id: 104830647
{'aut_label': '16A1', 'centralizer': '1.a1', 'counter': 142, 'group_counter': 5396, 'group_order': 384, 'label': '16B-5', 'order': 16, 'powers': [75, 137], 'representative': 268, 'size': 1}
-
id: 104830648
{'aut_label': '16A1', 'centralizer': '1.a1', 'counter': 143, 'group_counter': 5396, 'group_order': 384, 'label': '16B7', 'order': 16, 'powers': [74, 141], 'representative': 172, 'size': 1}
-
id: 104830649
{'aut_label': '16A1', 'centralizer': '1.a1', 'counter': 144, 'group_counter': 5396, 'group_order': 384, 'label': '16B-7', 'order': 16, 'powers': [73, 142], 'representative': 220, 'size': 1}
-
id: 104830650
{'aut_label': '16A1', 'centralizer': '1.a1', 'counter': 145, 'group_counter': 5396, 'group_order': 384, 'label': '16C1', 'order': 16, 'powers': [77, 147], 'representative': 30, 'size': 1}
-
id: 104830651
{'aut_label': '16A1', 'centralizer': '1.a1', 'counter': 146, 'group_counter': 5396, 'group_order': 384, 'label': '16C-1', 'order': 16, 'powers': [78, 148], 'representative': 362, 'size': 1}
-
id: 104830652
{'aut_label': '16A1', 'centralizer': '1.a1', 'counter': 147, 'group_counter': 5396, 'group_order': 384, 'label': '16C3', 'order': 16, 'powers': [79, 152], 'representative': 74, 'size': 1}
-
id: 104830653
{'aut_label': '16A1', 'centralizer': '1.a1', 'counter': 148, 'group_counter': 5396, 'group_order': 384, 'label': '16C-3', 'order': 16, 'powers': [80, 151], 'representative': 318, 'size': 1}
-
id: 104830654
{'aut_label': '16A1', 'centralizer': '1.a1', 'counter': 149, 'group_counter': 5396, 'group_order': 384, 'label': '16C5', 'order': 16, 'powers': [80, 146], 'representative': 126, 'size': 1}
-
id: 104830656
{'aut_label': '16A1', 'centralizer': '1.a1', 'counter': 150, 'group_counter': 5396, 'group_order': 384, 'label': '16C-5', 'order': 16, 'powers': [79, 145], 'representative': 266, 'size': 1}
-
id: 104830657
{'aut_label': '16A1', 'centralizer': '1.a1', 'counter': 151, 'group_counter': 5396, 'group_order': 384, 'label': '16C7', 'order': 16, 'powers': [78, 149], 'representative': 170, 'size': 1}
-
id: 104830658
{'aut_label': '16A1', 'centralizer': '1.a1', 'counter': 152, 'group_counter': 5396, 'group_order': 384, 'label': '16C-7', 'order': 16, 'powers': [77, 150], 'representative': 222, 'size': 1}
-
id: 104830659
{'aut_label': '16A1', 'centralizer': '1.a1', 'counter': 153, 'group_counter': 5396, 'group_order': 384, 'label': '16D1', 'order': 16, 'powers': [73, 155], 'representative': 25, 'size': 1}
-
id: 104830660
{'aut_label': '16A1', 'centralizer': '1.a1', 'counter': 154, 'group_counter': 5396, 'group_order': 384, 'label': '16D-1', 'order': 16, 'powers': [74, 156], 'representative': 361, 'size': 1}
-
id: 104830661
{'aut_label': '16A1', 'centralizer': '1.a1', 'counter': 155, 'group_counter': 5396, 'group_order': 384, 'label': '16D3', 'order': 16, 'powers': [75, 160], 'representative': 73, 'size': 1}
-
id: 104830662
{'aut_label': '16A1', 'centralizer': '1.a1', 'counter': 156, 'group_counter': 5396, 'group_order': 384, 'label': '16D-3', 'order': 16, 'powers': [76, 159], 'representative': 313, 'size': 1}
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id: 104830663
{'aut_label': '16A1', 'centralizer': '1.a1', 'counter': 157, 'group_counter': 5396, 'group_order': 384, 'label': '16D5', 'order': 16, 'powers': [76, 154], 'representative': 121, 'size': 1}
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id: 104830664
{'aut_label': '16A1', 'centralizer': '1.a1', 'counter': 158, 'group_counter': 5396, 'group_order': 384, 'label': '16D-5', 'order': 16, 'powers': [75, 153], 'representative': 265, 'size': 1}
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id: 104830665
{'aut_label': '16A1', 'centralizer': '1.a1', 'counter': 159, 'group_counter': 5396, 'group_order': 384, 'label': '16D7', 'order': 16, 'powers': [74, 157], 'representative': 169, 'size': 1}
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id: 104830667
{'aut_label': '16A1', 'centralizer': '1.a1', 'counter': 160, 'group_counter': 5396, 'group_order': 384, 'label': '16D-7', 'order': 16, 'powers': [73, 158], 'representative': 217, 'size': 1}
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id: 104830668
{'aut_label': '16A1', 'centralizer': '1.a1', 'counter': 161, 'group_counter': 5396, 'group_order': 384, 'label': '16E1', 'order': 16, 'powers': [77, 163], 'representative': 26, 'size': 1}
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id: 104830669
{'aut_label': '16A1', 'centralizer': '1.a1', 'counter': 162, 'group_counter': 5396, 'group_order': 384, 'label': '16E-1', 'order': 16, 'powers': [78, 164], 'representative': 366, 'size': 1}
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id: 104830670
{'aut_label': '16A1', 'centralizer': '1.a1', 'counter': 163, 'group_counter': 5396, 'group_order': 384, 'label': '16E3', 'order': 16, 'powers': [79, 168], 'representative': 78, 'size': 1}
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id: 104830671
{'aut_label': '16A1', 'centralizer': '1.a1', 'counter': 164, 'group_counter': 5396, 'group_order': 384, 'label': '16E-3', 'order': 16, 'powers': [80, 167], 'representative': 314, 'size': 1}
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id: 104830672
{'aut_label': '16A1', 'centralizer': '1.a1', 'counter': 165, 'group_counter': 5396, 'group_order': 384, 'label': '16E5', 'order': 16, 'powers': [80, 162], 'representative': 122, 'size': 1}
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id: 104830673
{'aut_label': '16A1', 'centralizer': '1.a1', 'counter': 166, 'group_counter': 5396, 'group_order': 384, 'label': '16E-5', 'order': 16, 'powers': [79, 161], 'representative': 270, 'size': 1}
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id: 104830674
{'aut_label': '16A1', 'centralizer': '1.a1', 'counter': 167, 'group_counter': 5396, 'group_order': 384, 'label': '16E7', 'order': 16, 'powers': [78, 165], 'representative': 174, 'size': 1}
-
id: 104830675
{'aut_label': '16A1', 'centralizer': '1.a1', 'counter': 168, 'group_counter': 5396, 'group_order': 384, 'label': '16E-7', 'order': 16, 'powers': [77, 166], 'representative': 218, 'size': 1}
-
id: 104830676
{'aut_label': '16A1', 'centralizer': '1.a1', 'counter': 169, 'group_counter': 5396, 'group_order': 384, 'label': '16F1', 'order': 16, 'powers': [73, 171], 'representative': 29, 'size': 1}
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id: 104830678
{'aut_label': '16A1', 'centralizer': '1.a1', 'counter': 170, 'group_counter': 5396, 'group_order': 384, 'label': '16F-1', 'order': 16, 'powers': [74, 172], 'representative': 365, 'size': 1}
-
id: 104830679
{'aut_label': '16A1', 'centralizer': '1.a1', 'counter': 171, 'group_counter': 5396, 'group_order': 384, 'label': '16F3', 'order': 16, 'powers': [75, 176], 'representative': 77, 'size': 1}
-
id: 104830680
{'aut_label': '16A1', 'centralizer': '1.a1', 'counter': 172, 'group_counter': 5396, 'group_order': 384, 'label': '16F-3', 'order': 16, 'powers': [76, 175], 'representative': 317, 'size': 1}
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id: 104830681
{'aut_label': '16A1', 'centralizer': '1.a1', 'counter': 173, 'group_counter': 5396, 'group_order': 384, 'label': '16F5', 'order': 16, 'powers': [76, 170], 'representative': 125, 'size': 1}
-
id: 104830682
{'aut_label': '16A1', 'centralizer': '1.a1', 'counter': 174, 'group_counter': 5396, 'group_order': 384, 'label': '16F-5', 'order': 16, 'powers': [75, 169], 'representative': 269, 'size': 1}
-
id: 104830683
{'aut_label': '16A1', 'centralizer': '1.a1', 'counter': 175, 'group_counter': 5396, 'group_order': 384, 'label': '16F7', 'order': 16, 'powers': [74, 173], 'representative': 173, 'size': 1}
-
id: 104830684
{'aut_label': '16A1', 'centralizer': '1.a1', 'counter': 176, 'group_counter': 5396, 'group_order': 384, 'label': '16F-7', 'order': 16, 'powers': [73, 174], 'representative': 221, 'size': 1}
-
id: 104830685
{'aut_label': '16A1', 'centralizer': '1.a1', 'counter': 177, 'group_counter': 5396, 'group_order': 384, 'label': '16G1', 'order': 16, 'powers': [77, 179], 'representative': 31, 'size': 1}
-
id: 104830686
{'aut_label': '16A1', 'centralizer': '1.a1', 'counter': 178, 'group_counter': 5396, 'group_order': 384, 'label': '16G-1', 'order': 16, 'powers': [78, 180], 'representative': 363, 'size': 1}
-
id: 104830687
{'aut_label': '16A1', 'centralizer': '1.a1', 'counter': 179, 'group_counter': 5396, 'group_order': 384, 'label': '16G3', 'order': 16, 'powers': [79, 184], 'representative': 75, 'size': 1}
-
id: 104830689
{'aut_label': '16A1', 'centralizer': '1.a1', 'counter': 180, 'group_counter': 5396, 'group_order': 384, 'label': '16G-3', 'order': 16, 'powers': [80, 183], 'representative': 319, 'size': 1}
-
id: 104830690
{'aut_label': '16A1', 'centralizer': '1.a1', 'counter': 181, 'group_counter': 5396, 'group_order': 384, 'label': '16G5', 'order': 16, 'powers': [80, 178], 'representative': 127, 'size': 1}
-
id: 104830691
{'aut_label': '16A1', 'centralizer': '1.a1', 'counter': 182, 'group_counter': 5396, 'group_order': 384, 'label': '16G-5', 'order': 16, 'powers': [79, 177], 'representative': 267, 'size': 1}
-
id: 104830692
{'aut_label': '16A1', 'centralizer': '1.a1', 'counter': 183, 'group_counter': 5396, 'group_order': 384, 'label': '16G7', 'order': 16, 'powers': [78, 181], 'representative': 171, 'size': 1}
-
id: 104830693
{'aut_label': '16A1', 'centralizer': '1.a1', 'counter': 184, 'group_counter': 5396, 'group_order': 384, 'label': '16G-7', 'order': 16, 'powers': [77, 182], 'representative': 223, 'size': 1}
-
id: 104830694
{'aut_label': '16A1', 'centralizer': '1.a1', 'counter': 185, 'group_counter': 5396, 'group_order': 384, 'label': '16H1', 'order': 16, 'powers': [77, 187], 'representative': 27, 'size': 1}
-
id: 104830695
{'aut_label': '16A1', 'centralizer': '1.a1', 'counter': 186, 'group_counter': 5396, 'group_order': 384, 'label': '16H-1', 'order': 16, 'powers': [78, 188], 'representative': 367, 'size': 1}
-
id: 104830696
{'aut_label': '16A1', 'centralizer': '1.a1', 'counter': 187, 'group_counter': 5396, 'group_order': 384, 'label': '16H3', 'order': 16, 'powers': [79, 192], 'representative': 79, 'size': 1}
-
id: 104830697
{'aut_label': '16A1', 'centralizer': '1.a1', 'counter': 188, 'group_counter': 5396, 'group_order': 384, 'label': '16H-3', 'order': 16, 'powers': [80, 191], 'representative': 315, 'size': 1}
-
id: 104830698
{'aut_label': '16A1', 'centralizer': '1.a1', 'counter': 189, 'group_counter': 5396, 'group_order': 384, 'label': '16H5', 'order': 16, 'powers': [80, 186], 'representative': 123, 'size': 1}
-
id: 104830700
{'aut_label': '16A1', 'centralizer': '1.a1', 'counter': 190, 'group_counter': 5396, 'group_order': 384, 'label': '16H-5', 'order': 16, 'powers': [79, 185], 'representative': 271, 'size': 1}
-
id: 104830701
{'aut_label': '16A1', 'centralizer': '1.a1', 'counter': 191, 'group_counter': 5396, 'group_order': 384, 'label': '16H7', 'order': 16, 'powers': [78, 189], 'representative': 175, 'size': 1}
-
id: 104830702
{'aut_label': '16A1', 'centralizer': '1.a1', 'counter': 192, 'group_counter': 5396, 'group_order': 384, 'label': '16H-7', 'order': 16, 'powers': [77, 190], 'representative': 219, 'size': 1}
-
id: 104830703
{'aut_label': '24A1', 'centralizer': '1.a1', 'counter': 193, 'group_counter': 5396, 'group_order': 384, 'label': '24A1', 'order': 24, 'powers': [121, 49], 'representative': 18, 'size': 1}
-
id: 104830704
{'aut_label': '24A1', 'centralizer': '1.a1', 'counter': 194, 'group_counter': 5396, 'group_order': 384, 'label': '24A-1', 'order': 24, 'powers': [122, 50], 'representative': 374, 'size': 1}
-
id: 104830705
{'aut_label': '24A1', 'centralizer': '1.a1', 'counter': 195, 'group_counter': 5396, 'group_order': 384, 'label': '24A5', 'order': 24, 'powers': [123, 52], 'representative': 82, 'size': 1}
-
id: 104830706
{'aut_label': '24A1', 'centralizer': '1.a1', 'counter': 196, 'group_counter': 5396, 'group_order': 384, 'label': '24A-5', 'order': 24, 'powers': [124, 51], 'representative': 310, 'size': 1}
-
id: 104830707
{'aut_label': '24A1', 'centralizer': '1.a1', 'counter': 197, 'group_counter': 5396, 'group_order': 384, 'label': '24A7', 'order': 24, 'powers': [124, 50], 'representative': 118, 'size': 1}
-
id: 104830708
{'aut_label': '24A1', 'centralizer': '1.a1', 'counter': 198, 'group_counter': 5396, 'group_order': 384, 'label': '24A-7', 'order': 24, 'powers': [123, 49], 'representative': 274, 'size': 1}
-
id: 104830709
{'aut_label': '24A1', 'centralizer': '1.a1', 'counter': 199, 'group_counter': 5396, 'group_order': 384, 'label': '24A11', 'order': 24, 'powers': [122, 51], 'representative': 182, 'size': 1}
-
id: 104830712
{'aut_label': '24A1', 'centralizer': '1.a1', 'counter': 200, 'group_counter': 5396, 'group_order': 384, 'label': '24A-11', 'order': 24, 'powers': [121, 52], 'representative': 210, 'size': 1}
-
id: 104830713
{'aut_label': '24B1', 'centralizer': '1.a1', 'counter': 201, 'group_counter': 5396, 'group_order': 384, 'label': '24B1', 'order': 24, 'powers': [125, 53], 'representative': 17, 'size': 1}
-
id: 104830714
{'aut_label': '24B1', 'centralizer': '1.a1', 'counter': 202, 'group_counter': 5396, 'group_order': 384, 'label': '24B-1', 'order': 24, 'powers': [126, 54], 'representative': 369, 'size': 1}
-
id: 104830715
{'aut_label': '24B1', 'centralizer': '1.a1', 'counter': 203, 'group_counter': 5396, 'group_order': 384, 'label': '24B5', 'order': 24, 'powers': [127, 56], 'representative': 81, 'size': 1}
-
id: 104830716
{'aut_label': '24B1', 'centralizer': '1.a1', 'counter': 204, 'group_counter': 5396, 'group_order': 384, 'label': '24B-5', 'order': 24, 'powers': [128, 55], 'representative': 305, 'size': 1}
-
id: 104830717
{'aut_label': '24B1', 'centralizer': '1.a1', 'counter': 205, 'group_counter': 5396, 'group_order': 384, 'label': '24B7', 'order': 24, 'powers': [128, 54], 'representative': 113, 'size': 1}
-
id: 104830718
{'aut_label': '24B1', 'centralizer': '1.a1', 'counter': 206, 'group_counter': 5396, 'group_order': 384, 'label': '24B-7', 'order': 24, 'powers': [127, 53], 'representative': 273, 'size': 1}
-
id: 104830719
{'aut_label': '24B1', 'centralizer': '1.a1', 'counter': 207, 'group_counter': 5396, 'group_order': 384, 'label': '24B11', 'order': 24, 'powers': [126, 55], 'representative': 177, 'size': 1}
-
id: 104830720
{'aut_label': '24B1', 'centralizer': '1.a1', 'counter': 208, 'group_counter': 5396, 'group_order': 384, 'label': '24B-11', 'order': 24, 'powers': [125, 56], 'representative': 209, 'size': 1}
-
id: 104830721
{'aut_label': '24A1', 'centralizer': '1.a1', 'counter': 209, 'group_counter': 5396, 'group_order': 384, 'label': '24C1', 'order': 24, 'powers': [121, 57], 'representative': 22, 'size': 1}
-
id: 104830723
{'aut_label': '24A1', 'centralizer': '1.a1', 'counter': 210, 'group_counter': 5396, 'group_order': 384, 'label': '24C-1', 'order': 24, 'powers': [122, 58], 'representative': 370, 'size': 1}
-
id: 104830724
{'aut_label': '24A1', 'centralizer': '1.a1', 'counter': 211, 'group_counter': 5396, 'group_order': 384, 'label': '24C5', 'order': 24, 'powers': [123, 60], 'representative': 86, 'size': 1}
-
id: 104830725
{'aut_label': '24A1', 'centralizer': '1.a1', 'counter': 212, 'group_counter': 5396, 'group_order': 384, 'label': '24C-5', 'order': 24, 'powers': [124, 59], 'representative': 306, 'size': 1}
-
id: 104830726
{'aut_label': '24A1', 'centralizer': '1.a1', 'counter': 213, 'group_counter': 5396, 'group_order': 384, 'label': '24C7', 'order': 24, 'powers': [124, 58], 'representative': 114, 'size': 1}
-
id: 104830727
{'aut_label': '24A1', 'centralizer': '1.a1', 'counter': 214, 'group_counter': 5396, 'group_order': 384, 'label': '24C-7', 'order': 24, 'powers': [123, 57], 'representative': 278, 'size': 1}
-
id: 104830728
{'aut_label': '24A1', 'centralizer': '1.a1', 'counter': 215, 'group_counter': 5396, 'group_order': 384, 'label': '24C11', 'order': 24, 'powers': [122, 59], 'representative': 178, 'size': 1}
-
id: 104830729
{'aut_label': '24A1', 'centralizer': '1.a1', 'counter': 216, 'group_counter': 5396, 'group_order': 384, 'label': '24C-11', 'order': 24, 'powers': [121, 60], 'representative': 214, 'size': 1}
-
id: 104830730
{'aut_label': '24B1', 'centralizer': '1.a1', 'counter': 217, 'group_counter': 5396, 'group_order': 384, 'label': '24D1', 'order': 24, 'powers': [125, 61], 'representative': 21, 'size': 1}
-
id: 104830731
{'aut_label': '24B1', 'centralizer': '1.a1', 'counter': 218, 'group_counter': 5396, 'group_order': 384, 'label': '24D-1', 'order': 24, 'powers': [126, 62], 'representative': 373, 'size': 1}
-
id: 104830732
{'aut_label': '24B1', 'centralizer': '1.a1', 'counter': 219, 'group_counter': 5396, 'group_order': 384, 'label': '24D5', 'order': 24, 'powers': [127, 64], 'representative': 85, 'size': 1}
-
id: 104830734
{'aut_label': '24B1', 'centralizer': '1.a1', 'counter': 220, 'group_counter': 5396, 'group_order': 384, 'label': '24D-5', 'order': 24, 'powers': [128, 63], 'representative': 309, 'size': 1}
-
id: 104830735
{'aut_label': '24B1', 'centralizer': '1.a1', 'counter': 221, 'group_counter': 5396, 'group_order': 384, 'label': '24D7', 'order': 24, 'powers': [128, 62], 'representative': 117, 'size': 1}
-
id: 104830736
{'aut_label': '24B1', 'centralizer': '1.a1', 'counter': 222, 'group_counter': 5396, 'group_order': 384, 'label': '24D-7', 'order': 24, 'powers': [127, 61], 'representative': 277, 'size': 1}
-
id: 104830737
{'aut_label': '24B1', 'centralizer': '1.a1', 'counter': 223, 'group_counter': 5396, 'group_order': 384, 'label': '24D11', 'order': 24, 'powers': [126, 63], 'representative': 181, 'size': 1}
-
id: 104830738
{'aut_label': '24B1', 'centralizer': '1.a1', 'counter': 224, 'group_counter': 5396, 'group_order': 384, 'label': '24D-11', 'order': 24, 'powers': [125, 64], 'representative': 213, 'size': 1}
-
id: 104830739
{'aut_label': '24A1', 'centralizer': '1.a1', 'counter': 225, 'group_counter': 5396, 'group_order': 384, 'label': '24E1', 'order': 24, 'powers': [121, 65], 'representative': 19, 'size': 1}
-
id: 104830740
{'aut_label': '24A1', 'centralizer': '1.a1', 'counter': 226, 'group_counter': 5396, 'group_order': 384, 'label': '24E-1', 'order': 24, 'powers': [122, 66], 'representative': 375, 'size': 1}
-
id: 104830741
{'aut_label': '24A1', 'centralizer': '1.a1', 'counter': 227, 'group_counter': 5396, 'group_order': 384, 'label': '24E5', 'order': 24, 'powers': [123, 68], 'representative': 83, 'size': 1}
-
id: 104830742
{'aut_label': '24A1', 'centralizer': '1.a1', 'counter': 228, 'group_counter': 5396, 'group_order': 384, 'label': '24E-5', 'order': 24, 'powers': [124, 67], 'representative': 311, 'size': 1}
-
id: 104830743
{'aut_label': '24A1', 'centralizer': '1.a1', 'counter': 229, 'group_counter': 5396, 'group_order': 384, 'label': '24E7', 'order': 24, 'powers': [124, 66], 'representative': 119, 'size': 1}
-
id: 104830745
{'aut_label': '24A1', 'centralizer': '1.a1', 'counter': 230, 'group_counter': 5396, 'group_order': 384, 'label': '24E-7', 'order': 24, 'powers': [123, 65], 'representative': 275, 'size': 1}
-
id: 104830746
{'aut_label': '24A1', 'centralizer': '1.a1', 'counter': 231, 'group_counter': 5396, 'group_order': 384, 'label': '24E11', 'order': 24, 'powers': [122, 67], 'representative': 183, 'size': 1}
-
id: 104830747
{'aut_label': '24A1', 'centralizer': '1.a1', 'counter': 232, 'group_counter': 5396, 'group_order': 384, 'label': '24E-11', 'order': 24, 'powers': [121, 68], 'representative': 211, 'size': 1}
-
id: 104830748
{'aut_label': '24A1', 'centralizer': '1.a1', 'counter': 233, 'group_counter': 5396, 'group_order': 384, 'label': '24F1', 'order': 24, 'powers': [121, 69], 'representative': 23, 'size': 1}
-
id: 104830749
{'aut_label': '24A1', 'centralizer': '1.a1', 'counter': 234, 'group_counter': 5396, 'group_order': 384, 'label': '24F-1', 'order': 24, 'powers': [122, 70], 'representative': 371, 'size': 1}
-
id: 104830750
{'aut_label': '24A1', 'centralizer': '1.a1', 'counter': 235, 'group_counter': 5396, 'group_order': 384, 'label': '24F5', 'order': 24, 'powers': [123, 72], 'representative': 87, 'size': 1}
-
id: 104830751
{'aut_label': '24A1', 'centralizer': '1.a1', 'counter': 236, 'group_counter': 5396, 'group_order': 384, 'label': '24F-5', 'order': 24, 'powers': [124, 71], 'representative': 307, 'size': 1}
-
id: 104830752
{'aut_label': '24A1', 'centralizer': '1.a1', 'counter': 237, 'group_counter': 5396, 'group_order': 384, 'label': '24F7', 'order': 24, 'powers': [124, 70], 'representative': 115, 'size': 1}
-
id: 104830753
{'aut_label': '24A1', 'centralizer': '1.a1', 'counter': 238, 'group_counter': 5396, 'group_order': 384, 'label': '24F-7', 'order': 24, 'powers': [123, 69], 'representative': 279, 'size': 1}
-
id: 104830754
{'aut_label': '24A1', 'centralizer': '1.a1', 'counter': 239, 'group_counter': 5396, 'group_order': 384, 'label': '24F11', 'order': 24, 'powers': [122, 71], 'representative': 179, 'size': 1}
-
id: 104830756
{'aut_label': '24A1', 'centralizer': '1.a1', 'counter': 240, 'group_counter': 5396, 'group_order': 384, 'label': '24F-11', 'order': 24, 'powers': [121, 72], 'representative': 215, 'size': 1}
-
id: 104830757
{'aut_label': '24G1', 'centralizer': '1.a1', 'counter': 241, 'group_counter': 5396, 'group_order': 384, 'label': '24G1', 'order': 24, 'powers': [125, 73], 'representative': 16, 'size': 1}
-
id: 104830758
{'aut_label': '24G1', 'centralizer': '1.a1', 'counter': 242, 'group_counter': 5396, 'group_order': 384, 'label': '24G-1', 'order': 24, 'powers': [126, 74], 'representative': 368, 'size': 1}
-
id: 104830759
{'aut_label': '24G1', 'centralizer': '1.a1', 'counter': 243, 'group_counter': 5396, 'group_order': 384, 'label': '24G5', 'order': 24, 'powers': [127, 76], 'representative': 80, 'size': 1}
-
id: 104830760
{'aut_label': '24G1', 'centralizer': '1.a1', 'counter': 244, 'group_counter': 5396, 'group_order': 384, 'label': '24G-5', 'order': 24, 'powers': [128, 75], 'representative': 304, 'size': 1}
-
id: 104830761
{'aut_label': '24G1', 'centralizer': '1.a1', 'counter': 245, 'group_counter': 5396, 'group_order': 384, 'label': '24G7', 'order': 24, 'powers': [128, 74], 'representative': 112, 'size': 1}
-
id: 104830762
{'aut_label': '24G1', 'centralizer': '1.a1', 'counter': 246, 'group_counter': 5396, 'group_order': 384, 'label': '24G-7', 'order': 24, 'powers': [127, 73], 'representative': 272, 'size': 1}
-
id: 104830763
{'aut_label': '24G1', 'centralizer': '1.a1', 'counter': 247, 'group_counter': 5396, 'group_order': 384, 'label': '24G11', 'order': 24, 'powers': [126, 75], 'representative': 176, 'size': 1}
-
id: 104830764
{'aut_label': '24G1', 'centralizer': '1.a1', 'counter': 248, 'group_counter': 5396, 'group_order': 384, 'label': '24G-11', 'order': 24, 'powers': [125, 76], 'representative': 208, 'size': 1}
-
id: 104830765
{'aut_label': '24G1', 'centralizer': '1.a1', 'counter': 249, 'group_counter': 5396, 'group_order': 384, 'label': '24H1', 'order': 24, 'powers': [125, 77], 'representative': 20, 'size': 1}
-
id: 104830767
{'aut_label': '24G1', 'centralizer': '1.a1', 'counter': 250, 'group_counter': 5396, 'group_order': 384, 'label': '24H-1', 'order': 24, 'powers': [126, 78], 'representative': 372, 'size': 1}
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id: 104830768
{'aut_label': '24G1', 'centralizer': '1.a1', 'counter': 251, 'group_counter': 5396, 'group_order': 384, 'label': '24H5', 'order': 24, 'powers': [127, 80], 'representative': 84, 'size': 1}
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id: 104830769
{'aut_label': '24G1', 'centralizer': '1.a1', 'counter': 252, 'group_counter': 5396, 'group_order': 384, 'label': '24H-5', 'order': 24, 'powers': [128, 79], 'representative': 308, 'size': 1}
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id: 104830770
{'aut_label': '24G1', 'centralizer': '1.a1', 'counter': 253, 'group_counter': 5396, 'group_order': 384, 'label': '24H7', 'order': 24, 'powers': [128, 78], 'representative': 116, 'size': 1}
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id: 104830771
{'aut_label': '24G1', 'centralizer': '1.a1', 'counter': 254, 'group_counter': 5396, 'group_order': 384, 'label': '24H-7', 'order': 24, 'powers': [127, 77], 'representative': 276, 'size': 1}
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id: 104830772
{'aut_label': '24G1', 'centralizer': '1.a1', 'counter': 255, 'group_counter': 5396, 'group_order': 384, 'label': '24H11', 'order': 24, 'powers': [126, 79], 'representative': 180, 'size': 1}
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id: 104830773
{'aut_label': '24G1', 'centralizer': '1.a1', 'counter': 256, 'group_counter': 5396, 'group_order': 384, 'label': '24H-11', 'order': 24, 'powers': [125, 80], 'representative': 212, 'size': 1}
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id: 104830774
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 257, 'group_counter': 5396, 'group_order': 384, 'label': '48A1', 'order': 48, 'powers': [241, 129], 'representative': 8, 'size': 1}
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id: 104830775
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 258, 'group_counter': 5396, 'group_order': 384, 'label': '48A-1', 'order': 48, 'powers': [242, 130], 'representative': 376, 'size': 1}
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id: 104830776
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 259, 'group_counter': 5396, 'group_order': 384, 'label': '48A5', 'order': 48, 'powers': [243, 133], 'representative': 40, 'size': 1}
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id: 104830778
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 260, 'group_counter': 5396, 'group_order': 384, 'label': '48A-5', 'order': 48, 'powers': [244, 134], 'representative': 344, 'size': 1}
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id: 104830779
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 261, 'group_counter': 5396, 'group_order': 384, 'label': '48A7', 'order': 48, 'powers': [245, 135], 'representative': 56, 'size': 1}
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id: 104830780
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 262, 'group_counter': 5396, 'group_order': 384, 'label': '48A-7', 'order': 48, 'powers': [246, 136], 'representative': 328, 'size': 1}
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id: 104830781
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 263, 'group_counter': 5396, 'group_order': 384, 'label': '48A11', 'order': 48, 'powers': [247, 134], 'representative': 88, 'size': 1}
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id: 104830782
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 264, 'group_counter': 5396, 'group_order': 384, 'label': '48A-11', 'order': 48, 'powers': [248, 133], 'representative': 296, 'size': 1}
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id: 104830783
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 265, 'group_counter': 5396, 'group_order': 384, 'label': '48A13', 'order': 48, 'powers': [248, 132], 'representative': 104, 'size': 1}
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id: 104830784
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 266, 'group_counter': 5396, 'group_order': 384, 'label': '48A-13', 'order': 48, 'powers': [247, 131], 'representative': 280, 'size': 1}
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id: 104830785
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 267, 'group_counter': 5396, 'group_order': 384, 'label': '48A17', 'order': 48, 'powers': [246, 129], 'representative': 136, 'size': 1}
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id: 104830786
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 268, 'group_counter': 5396, 'group_order': 384, 'label': '48A-17', 'order': 48, 'powers': [245, 130], 'representative': 248, 'size': 1}
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id: 104830787
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 269, 'group_counter': 5396, 'group_order': 384, 'label': '48A19', 'order': 48, 'powers': [244, 131], 'representative': 152, 'size': 1}
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id: 104830789
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 270, 'group_counter': 5396, 'group_order': 384, 'label': '48A-19', 'order': 48, 'powers': [243, 132], 'representative': 232, 'size': 1}
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id: 104830790
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 271, 'group_counter': 5396, 'group_order': 384, 'label': '48A23', 'order': 48, 'powers': [242, 135], 'representative': 184, 'size': 1}
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id: 104830791
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 272, 'group_counter': 5396, 'group_order': 384, 'label': '48A-23', 'order': 48, 'powers': [241, 136], 'representative': 200, 'size': 1}
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id: 104830792
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 273, 'group_counter': 5396, 'group_order': 384, 'label': '48B1', 'order': 48, 'powers': [241, 137], 'representative': 12, 'size': 1}
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id: 104830793
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 274, 'group_counter': 5396, 'group_order': 384, 'label': '48B-1', 'order': 48, 'powers': [242, 138], 'representative': 380, 'size': 1}
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id: 104830794
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 275, 'group_counter': 5396, 'group_order': 384, 'label': '48B5', 'order': 48, 'powers': [243, 141], 'representative': 44, 'size': 1}
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id: 104830795
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 276, 'group_counter': 5396, 'group_order': 384, 'label': '48B-5', 'order': 48, 'powers': [244, 142], 'representative': 348, 'size': 1}
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id: 104830796
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 277, 'group_counter': 5396, 'group_order': 384, 'label': '48B7', 'order': 48, 'powers': [245, 143], 'representative': 60, 'size': 1}
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id: 104830797
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 278, 'group_counter': 5396, 'group_order': 384, 'label': '48B-7', 'order': 48, 'powers': [246, 144], 'representative': 332, 'size': 1}
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id: 104830798
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 279, 'group_counter': 5396, 'group_order': 384, 'label': '48B11', 'order': 48, 'powers': [247, 142], 'representative': 92, 'size': 1}
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id: 104830800
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 280, 'group_counter': 5396, 'group_order': 384, 'label': '48B-11', 'order': 48, 'powers': [248, 141], 'representative': 300, 'size': 1}
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id: 104830801
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 281, 'group_counter': 5396, 'group_order': 384, 'label': '48B13', 'order': 48, 'powers': [248, 140], 'representative': 108, 'size': 1}
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id: 104830802
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 282, 'group_counter': 5396, 'group_order': 384, 'label': '48B-13', 'order': 48, 'powers': [247, 139], 'representative': 284, 'size': 1}
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id: 104830803
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 283, 'group_counter': 5396, 'group_order': 384, 'label': '48B17', 'order': 48, 'powers': [246, 137], 'representative': 140, 'size': 1}
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id: 104830804
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 284, 'group_counter': 5396, 'group_order': 384, 'label': '48B-17', 'order': 48, 'powers': [245, 138], 'representative': 252, 'size': 1}
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id: 104830805
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 285, 'group_counter': 5396, 'group_order': 384, 'label': '48B19', 'order': 48, 'powers': [244, 139], 'representative': 156, 'size': 1}
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id: 104830806
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 286, 'group_counter': 5396, 'group_order': 384, 'label': '48B-19', 'order': 48, 'powers': [243, 140], 'representative': 236, 'size': 1}
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id: 104830807
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 287, 'group_counter': 5396, 'group_order': 384, 'label': '48B23', 'order': 48, 'powers': [242, 143], 'representative': 188, 'size': 1}
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id: 104830808
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 288, 'group_counter': 5396, 'group_order': 384, 'label': '48B-23', 'order': 48, 'powers': [241, 144], 'representative': 204, 'size': 1}
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id: 104830809
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 289, 'group_counter': 5396, 'group_order': 384, 'label': '48C1', 'order': 48, 'powers': [249, 145], 'representative': 10, 'size': 1}
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id: 104830811
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 290, 'group_counter': 5396, 'group_order': 384, 'label': '48C-1', 'order': 48, 'powers': [250, 146], 'representative': 382, 'size': 1}
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id: 104830812
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 291, 'group_counter': 5396, 'group_order': 384, 'label': '48C5', 'order': 48, 'powers': [251, 149], 'representative': 42, 'size': 1}
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id: 104830813
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 292, 'group_counter': 5396, 'group_order': 384, 'label': '48C-5', 'order': 48, 'powers': [252, 150], 'representative': 350, 'size': 1}
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id: 104830814
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 293, 'group_counter': 5396, 'group_order': 384, 'label': '48C7', 'order': 48, 'powers': [253, 151], 'representative': 62, 'size': 1}
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id: 104830815
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 294, 'group_counter': 5396, 'group_order': 384, 'label': '48C-7', 'order': 48, 'powers': [254, 152], 'representative': 330, 'size': 1}
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id: 104830816
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 295, 'group_counter': 5396, 'group_order': 384, 'label': '48C11', 'order': 48, 'powers': [255, 150], 'representative': 94, 'size': 1}
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id: 104830817
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 296, 'group_counter': 5396, 'group_order': 384, 'label': '48C-11', 'order': 48, 'powers': [256, 149], 'representative': 298, 'size': 1}
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id: 104830818
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 297, 'group_counter': 5396, 'group_order': 384, 'label': '48C13', 'order': 48, 'powers': [256, 148], 'representative': 106, 'size': 1}
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id: 104830819
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 298, 'group_counter': 5396, 'group_order': 384, 'label': '48C-13', 'order': 48, 'powers': [255, 147], 'representative': 286, 'size': 1}
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id: 104830820
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 299, 'group_counter': 5396, 'group_order': 384, 'label': '48C17', 'order': 48, 'powers': [254, 145], 'representative': 138, 'size': 1}
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id: 104830823
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 300, 'group_counter': 5396, 'group_order': 384, 'label': '48C-17', 'order': 48, 'powers': [253, 146], 'representative': 254, 'size': 1}
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id: 104830824
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 301, 'group_counter': 5396, 'group_order': 384, 'label': '48C19', 'order': 48, 'powers': [252, 147], 'representative': 158, 'size': 1}
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id: 104830825
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 302, 'group_counter': 5396, 'group_order': 384, 'label': '48C-19', 'order': 48, 'powers': [251, 148], 'representative': 234, 'size': 1}
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id: 104830826
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 303, 'group_counter': 5396, 'group_order': 384, 'label': '48C23', 'order': 48, 'powers': [250, 151], 'representative': 190, 'size': 1}
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id: 104830827
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 304, 'group_counter': 5396, 'group_order': 384, 'label': '48C-23', 'order': 48, 'powers': [249, 152], 'representative': 202, 'size': 1}
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id: 104830828
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 305, 'group_counter': 5396, 'group_order': 384, 'label': '48D1', 'order': 48, 'powers': [241, 153], 'representative': 9, 'size': 1}
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id: 104830829
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 306, 'group_counter': 5396, 'group_order': 384, 'label': '48D-1', 'order': 48, 'powers': [242, 154], 'representative': 377, 'size': 1}
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id: 104830830
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 307, 'group_counter': 5396, 'group_order': 384, 'label': '48D5', 'order': 48, 'powers': [243, 157], 'representative': 41, 'size': 1}
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id: 104830831
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 308, 'group_counter': 5396, 'group_order': 384, 'label': '48D-5', 'order': 48, 'powers': [244, 158], 'representative': 345, 'size': 1}
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id: 104830832
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 309, 'group_counter': 5396, 'group_order': 384, 'label': '48D7', 'order': 48, 'powers': [245, 159], 'representative': 57, 'size': 1}
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id: 104830834
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 310, 'group_counter': 5396, 'group_order': 384, 'label': '48D-7', 'order': 48, 'powers': [246, 160], 'representative': 329, 'size': 1}
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id: 104830835
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 311, 'group_counter': 5396, 'group_order': 384, 'label': '48D11', 'order': 48, 'powers': [247, 158], 'representative': 89, 'size': 1}
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id: 104830836
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 312, 'group_counter': 5396, 'group_order': 384, 'label': '48D-11', 'order': 48, 'powers': [248, 157], 'representative': 297, 'size': 1}
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id: 104830837
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 313, 'group_counter': 5396, 'group_order': 384, 'label': '48D13', 'order': 48, 'powers': [248, 156], 'representative': 105, 'size': 1}
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id: 104830838
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 314, 'group_counter': 5396, 'group_order': 384, 'label': '48D-13', 'order': 48, 'powers': [247, 155], 'representative': 281, 'size': 1}
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id: 104830839
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 315, 'group_counter': 5396, 'group_order': 384, 'label': '48D17', 'order': 48, 'powers': [246, 153], 'representative': 137, 'size': 1}
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id: 104830840
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 316, 'group_counter': 5396, 'group_order': 384, 'label': '48D-17', 'order': 48, 'powers': [245, 154], 'representative': 249, 'size': 1}
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id: 104830841
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 317, 'group_counter': 5396, 'group_order': 384, 'label': '48D19', 'order': 48, 'powers': [244, 155], 'representative': 153, 'size': 1}
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id: 104830842
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 318, 'group_counter': 5396, 'group_order': 384, 'label': '48D-19', 'order': 48, 'powers': [243, 156], 'representative': 233, 'size': 1}
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id: 104830843
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 319, 'group_counter': 5396, 'group_order': 384, 'label': '48D23', 'order': 48, 'powers': [242, 159], 'representative': 185, 'size': 1}
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id: 104830845
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 320, 'group_counter': 5396, 'group_order': 384, 'label': '48D-23', 'order': 48, 'powers': [241, 160], 'representative': 201, 'size': 1}
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id: 104830846
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 321, 'group_counter': 5396, 'group_order': 384, 'label': '48E1', 'order': 48, 'powers': [249, 161], 'representative': 14, 'size': 1}
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id: 104830847
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 322, 'group_counter': 5396, 'group_order': 384, 'label': '48E-1', 'order': 48, 'powers': [250, 162], 'representative': 378, 'size': 1}
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id: 104830848
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 323, 'group_counter': 5396, 'group_order': 384, 'label': '48E5', 'order': 48, 'powers': [251, 165], 'representative': 46, 'size': 1}
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id: 104830849
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 324, 'group_counter': 5396, 'group_order': 384, 'label': '48E-5', 'order': 48, 'powers': [252, 166], 'representative': 346, 'size': 1}
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id: 104830850
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 325, 'group_counter': 5396, 'group_order': 384, 'label': '48E7', 'order': 48, 'powers': [253, 167], 'representative': 58, 'size': 1}
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id: 104830851
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 326, 'group_counter': 5396, 'group_order': 384, 'label': '48E-7', 'order': 48, 'powers': [254, 168], 'representative': 334, 'size': 1}
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id: 104830852
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 327, 'group_counter': 5396, 'group_order': 384, 'label': '48E11', 'order': 48, 'powers': [255, 166], 'representative': 90, 'size': 1}
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id: 104830853
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 328, 'group_counter': 5396, 'group_order': 384, 'label': '48E-11', 'order': 48, 'powers': [256, 165], 'representative': 302, 'size': 1}
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id: 104830854
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 329, 'group_counter': 5396, 'group_order': 384, 'label': '48E13', 'order': 48, 'powers': [256, 164], 'representative': 110, 'size': 1}
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id: 104830856
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 330, 'group_counter': 5396, 'group_order': 384, 'label': '48E-13', 'order': 48, 'powers': [255, 163], 'representative': 282, 'size': 1}
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id: 104830857
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 331, 'group_counter': 5396, 'group_order': 384, 'label': '48E17', 'order': 48, 'powers': [254, 161], 'representative': 142, 'size': 1}
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id: 104830858
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 332, 'group_counter': 5396, 'group_order': 384, 'label': '48E-17', 'order': 48, 'powers': [253, 162], 'representative': 250, 'size': 1}
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id: 104830859
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 333, 'group_counter': 5396, 'group_order': 384, 'label': '48E19', 'order': 48, 'powers': [252, 163], 'representative': 154, 'size': 1}
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id: 104830860
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 334, 'group_counter': 5396, 'group_order': 384, 'label': '48E-19', 'order': 48, 'powers': [251, 164], 'representative': 238, 'size': 1}
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id: 104830861
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 335, 'group_counter': 5396, 'group_order': 384, 'label': '48E23', 'order': 48, 'powers': [250, 167], 'representative': 186, 'size': 1}
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id: 104830862
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 336, 'group_counter': 5396, 'group_order': 384, 'label': '48E-23', 'order': 48, 'powers': [249, 168], 'representative': 206, 'size': 1}
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id: 104830863
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 337, 'group_counter': 5396, 'group_order': 384, 'label': '48F1', 'order': 48, 'powers': [241, 169], 'representative': 13, 'size': 1}
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id: 104830864
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 338, 'group_counter': 5396, 'group_order': 384, 'label': '48F-1', 'order': 48, 'powers': [242, 170], 'representative': 381, 'size': 1}
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id: 104830865
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 339, 'group_counter': 5396, 'group_order': 384, 'label': '48F5', 'order': 48, 'powers': [243, 173], 'representative': 45, 'size': 1}
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id: 104830867
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 340, 'group_counter': 5396, 'group_order': 384, 'label': '48F-5', 'order': 48, 'powers': [244, 174], 'representative': 349, 'size': 1}
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id: 104830868
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 341, 'group_counter': 5396, 'group_order': 384, 'label': '48F7', 'order': 48, 'powers': [245, 175], 'representative': 61, 'size': 1}
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id: 104830869
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 342, 'group_counter': 5396, 'group_order': 384, 'label': '48F-7', 'order': 48, 'powers': [246, 176], 'representative': 333, 'size': 1}
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id: 104830870
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 343, 'group_counter': 5396, 'group_order': 384, 'label': '48F11', 'order': 48, 'powers': [247, 174], 'representative': 93, 'size': 1}
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id: 104830871
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 344, 'group_counter': 5396, 'group_order': 384, 'label': '48F-11', 'order': 48, 'powers': [248, 173], 'representative': 301, 'size': 1}
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id: 104830872
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 345, 'group_counter': 5396, 'group_order': 384, 'label': '48F13', 'order': 48, 'powers': [248, 172], 'representative': 109, 'size': 1}
-
id: 104830873
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 346, 'group_counter': 5396, 'group_order': 384, 'label': '48F-13', 'order': 48, 'powers': [247, 171], 'representative': 285, 'size': 1}
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id: 104830874
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 347, 'group_counter': 5396, 'group_order': 384, 'label': '48F17', 'order': 48, 'powers': [246, 169], 'representative': 141, 'size': 1}
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id: 104830875
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 348, 'group_counter': 5396, 'group_order': 384, 'label': '48F-17', 'order': 48, 'powers': [245, 170], 'representative': 253, 'size': 1}
-
id: 104830876
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 349, 'group_counter': 5396, 'group_order': 384, 'label': '48F19', 'order': 48, 'powers': [244, 171], 'representative': 157, 'size': 1}
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id: 104830878
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 350, 'group_counter': 5396, 'group_order': 384, 'label': '48F-19', 'order': 48, 'powers': [243, 172], 'representative': 237, 'size': 1}
-
id: 104830879
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 351, 'group_counter': 5396, 'group_order': 384, 'label': '48F23', 'order': 48, 'powers': [242, 175], 'representative': 189, 'size': 1}
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id: 104830880
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 352, 'group_counter': 5396, 'group_order': 384, 'label': '48F-23', 'order': 48, 'powers': [241, 176], 'representative': 205, 'size': 1}
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id: 104830881
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 353, 'group_counter': 5396, 'group_order': 384, 'label': '48G1', 'order': 48, 'powers': [249, 177], 'representative': 11, 'size': 1}
-
id: 104830882
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 354, 'group_counter': 5396, 'group_order': 384, 'label': '48G-1', 'order': 48, 'powers': [250, 178], 'representative': 383, 'size': 1}
-
id: 104830883
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 355, 'group_counter': 5396, 'group_order': 384, 'label': '48G5', 'order': 48, 'powers': [251, 181], 'representative': 43, 'size': 1}
-
id: 104830884
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 356, 'group_counter': 5396, 'group_order': 384, 'label': '48G-5', 'order': 48, 'powers': [252, 182], 'representative': 351, 'size': 1}
-
id: 104830885
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 357, 'group_counter': 5396, 'group_order': 384, 'label': '48G7', 'order': 48, 'powers': [253, 183], 'representative': 63, 'size': 1}
-
id: 104830886
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 358, 'group_counter': 5396, 'group_order': 384, 'label': '48G-7', 'order': 48, 'powers': [254, 184], 'representative': 331, 'size': 1}
-
id: 104830887
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 359, 'group_counter': 5396, 'group_order': 384, 'label': '48G11', 'order': 48, 'powers': [255, 182], 'representative': 95, 'size': 1}
-
id: 104830889
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 360, 'group_counter': 5396, 'group_order': 384, 'label': '48G-11', 'order': 48, 'powers': [256, 181], 'representative': 299, 'size': 1}
-
id: 104830890
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 361, 'group_counter': 5396, 'group_order': 384, 'label': '48G13', 'order': 48, 'powers': [256, 180], 'representative': 107, 'size': 1}
-
id: 104830891
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 362, 'group_counter': 5396, 'group_order': 384, 'label': '48G-13', 'order': 48, 'powers': [255, 179], 'representative': 287, 'size': 1}
-
id: 104830892
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 363, 'group_counter': 5396, 'group_order': 384, 'label': '48G17', 'order': 48, 'powers': [254, 177], 'representative': 139, 'size': 1}
-
id: 104830893
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 364, 'group_counter': 5396, 'group_order': 384, 'label': '48G-17', 'order': 48, 'powers': [253, 178], 'representative': 255, 'size': 1}
-
id: 104830894
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 365, 'group_counter': 5396, 'group_order': 384, 'label': '48G19', 'order': 48, 'powers': [252, 179], 'representative': 159, 'size': 1}
-
id: 104830895
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 366, 'group_counter': 5396, 'group_order': 384, 'label': '48G-19', 'order': 48, 'powers': [251, 180], 'representative': 235, 'size': 1}
-
id: 104830896
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 367, 'group_counter': 5396, 'group_order': 384, 'label': '48G23', 'order': 48, 'powers': [250, 183], 'representative': 191, 'size': 1}
-
id: 104830897
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 368, 'group_counter': 5396, 'group_order': 384, 'label': '48G-23', 'order': 48, 'powers': [249, 184], 'representative': 203, 'size': 1}
-
id: 104830898
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 369, 'group_counter': 5396, 'group_order': 384, 'label': '48H1', 'order': 48, 'powers': [249, 185], 'representative': 15, 'size': 1}
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id: 104830900
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 370, 'group_counter': 5396, 'group_order': 384, 'label': '48H-1', 'order': 48, 'powers': [250, 186], 'representative': 379, 'size': 1}
-
id: 104830901
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 371, 'group_counter': 5396, 'group_order': 384, 'label': '48H5', 'order': 48, 'powers': [251, 189], 'representative': 47, 'size': 1}
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id: 104830902
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 372, 'group_counter': 5396, 'group_order': 384, 'label': '48H-5', 'order': 48, 'powers': [252, 190], 'representative': 347, 'size': 1}
-
id: 104830903
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 373, 'group_counter': 5396, 'group_order': 384, 'label': '48H7', 'order': 48, 'powers': [253, 191], 'representative': 59, 'size': 1}
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id: 104830904
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 374, 'group_counter': 5396, 'group_order': 384, 'label': '48H-7', 'order': 48, 'powers': [254, 192], 'representative': 335, 'size': 1}
-
id: 104830905
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 375, 'group_counter': 5396, 'group_order': 384, 'label': '48H11', 'order': 48, 'powers': [255, 190], 'representative': 91, 'size': 1}
-
id: 104830906
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 376, 'group_counter': 5396, 'group_order': 384, 'label': '48H-11', 'order': 48, 'powers': [256, 189], 'representative': 303, 'size': 1}
-
id: 104830907
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 377, 'group_counter': 5396, 'group_order': 384, 'label': '48H13', 'order': 48, 'powers': [256, 188], 'representative': 111, 'size': 1}
-
id: 104830908
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 378, 'group_counter': 5396, 'group_order': 384, 'label': '48H-13', 'order': 48, 'powers': [255, 187], 'representative': 283, 'size': 1}
-
id: 104830909
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 379, 'group_counter': 5396, 'group_order': 384, 'label': '48H17', 'order': 48, 'powers': [254, 185], 'representative': 143, 'size': 1}
-
id: 104830911
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 380, 'group_counter': 5396, 'group_order': 384, 'label': '48H-17', 'order': 48, 'powers': [253, 186], 'representative': 251, 'size': 1}
-
id: 104830912
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 381, 'group_counter': 5396, 'group_order': 384, 'label': '48H19', 'order': 48, 'powers': [252, 187], 'representative': 155, 'size': 1}
-
id: 104830913
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 382, 'group_counter': 5396, 'group_order': 384, 'label': '48H-19', 'order': 48, 'powers': [251, 188], 'representative': 239, 'size': 1}
-
id: 104830914
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 383, 'group_counter': 5396, 'group_order': 384, 'label': '48H23', 'order': 48, 'powers': [250, 191], 'representative': 187, 'size': 1}
-
id: 104830915
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 384, 'group_counter': 5396, 'group_order': 384, 'label': '48H-23', 'order': 48, 'powers': [249, 192], 'representative': 207, 'size': 1}
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gps_qchar • Show schema
Hide schema
-
id: 3129468
{'cdim': 1, 'counter': 1, 'faithful': False, 'group': '384.5396', 'group_order': 384, 'image': None, 'label': '384.5396.1a', '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], 'schur_index': 1}
-
id: 3129479
{'cdim': 1, 'counter': 2, 'faithful': False, 'group': '384.5396', 'group_order': 384, 'image': None, 'label': '384.5396.1b', '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], 'schur_index': 1}
-
id: 3129490
{'cdim': 1, 'counter': 3, 'faithful': False, 'group': '384.5396', 'group_order': 384, 'image': None, 'label': '384.5396.1c', '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], 'schur_index': 1}
-
id: 3129501
{'cdim': 1, 'counter': 4, 'faithful': False, 'group': '384.5396', 'group_order': 384, 'image': None, 'label': '384.5396.1d', '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], 'schur_index': 1}
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id: 3129512
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id: 3129471
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id: 3129472
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id: 3129473
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id: 3129474
{'cdim': 1, 'counter': 15, 'faithful': False, 'group': '384.5396', 'group_order': 384, 'image': None, 'label': '384.5396.1o', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [2, -2, -2, 2, 2, -2, -2, 2, 2, 2, 2, 0, 0, -2, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 2, 0, -2, 2, 0, 0, 2, -2, 0, 2, -2, -2, -2, -2, -2, 2, 2, 2, -2, 2, -2, 2, -2, 2, 0, 0, 0, 0, 0, 0, -2, -2, -2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, -2, 0, 0, -2, 0, 2, 2, 2, -2, -2, -2, 0, 2, -2, -2, 0, 0, -2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, -2, 2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, -2, -2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, -2, -2, 0, 0, 0, -2, -2, 2, 0, 2, 0, 0, 0, 0, -2, -2, 2, 2, 0, 0, 0, 0, -2, 0, -2, 2, 0, 0, 2, 2, 0, 0, 2, 0, -2, 0, -2, -2, 2, -2, 2, -2, 2, -2, 0, 0, 0, 0, 0, -2, -2, -2, -2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, -2, 0, 0, -2, 0, 2, 0, 0, 0, 0, 0, -2, 0, -2, 2, 2, 2, 0, -2, -2, 0, 0, 2, 0, -2, -2, 0, 0, -2, 2, 0, 0, -2, 0, 0, 2, 0, -2, 0, 0, -2, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, 2, 2, 0, 0, -2, 0, 0, 0, -2, -2, 0, -2, 0, 0, 0, 0, 2, 0, 0, 0, -2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, -2, 0, 0, -2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, -2, -2, -2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, -2, 2, 0, 0, 2, 2, 0, 0, -2, -2, -2, -2, 2, 0, 2, -2, 0, -2, 0, -2, -2, -2, 0, -2, 2, -2, 2, 0, -2, -2, 2, -2, 0, 2, 2, 2, -2, -2, -2, -2, 2, 0, 2, 2, -2, 0, 0, 0, 0], 'schur_index': 1}
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id: 3129475
{'cdim': 1, 'counter': 16, 'faithful': False, 'group': '384.5396', 'group_order': 384, 'image': None, 'label': '384.5396.1p', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [2, 2, 2, -2, -2, -2, -2, 2, 2, 2, -2, 0, 0, -2, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 2, 0, 2, -2, 0, 0, 2, 2, 0, -2, -2, 2, 2, -2, -2, 2, -2, -2, 2, -2, 2, 2, -2, -2, 0, 0, 0, 0, 0, 0, 2, -2, -2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, -2, 0, 0, -2, 0, -2, -2, -2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, -2, -2, 0, 0, -2, 2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 0, 0, 0, 0, -2, -2, -2, 0, 0, 2, 0, 2, -2, -2, 0, 0, 0, 2, 2, 0, 0, 0, -2, 2, 2, 0, 2, 0, 0, 0, 0, -2, 2, -2, -2, 0, 0, 0, 0, 2, 0, 2, -2, 0, 0, 2, 2, 0, 0, 2, 0, -2, 0, -2, -2, 2, -2, -2, 2, -2, 2, 0, 0, 0, 0, 0, 2, -2, -2, 2, -2, 2, -2, 0, -2, -2, 2, 0, 0, 0, -2, 0, 0, 0, -2, -2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, -2, 0, -2, -2, 2, 2, 0, 2, -2, 0, 0, 2, 0, 2, -2, 0, 0, 2, 2, 0, 0, -2, 0, 0, 2, 0, 2, 0, 0, -2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, -2, 2, 0, 0, -2, 0, 0, 0, -2, -2, 0, -2, 0, 0, 0, 0, 2, 0, 0, 0, -2, 0, 0, 0, 0, -2, 0, 0, 0, 0, 2, -2, 0, 0, -2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, -2, 0, 2, -2, -2, 0, 2, 2, -2, 0, -2, -2, 2, -2, 0, 0, -2, -2, 0, 0, -2, -2, -2, -2, -2, 0, -2, -2, 0, 2, 0, 2, 2, 2, 0, 2, -2, 2, -2, 0, -2, -2, -2, 2, 0, -2, 2, 2, 2, -2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0], 'schur_index': 1}
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id: 3129476
{'cdim': 1, 'counter': 17, 'faithful': False, 'group': '384.5396', 'group_order': 384, 'image': None, 'label': '384.5396.1q', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [2, 2, 2, -2, -2, -2, -2, 2, 2, 2, -2, 0, 0, -2, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 2, 0, 2, -2, 0, 0, 2, 2, 0, -2, -2, 2, 2, -2, -2, 2, -2, -2, 2, -2, 2, 2, -2, -2, 0, 0, 0, 0, 0, 0, 2, -2, -2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, -2, 0, 0, -2, 0, -2, -2, -2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, -2, -2, 0, 0, -2, 2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 0, 0, 0, 0, 2, 2, 2, 0, 0, -2, 0, -2, 2, 2, 0, 0, 0, -2, -2, 0, 0, 0, 2, -2, -2, 0, -2, 0, 0, 0, 0, 2, -2, 2, 2, 0, 0, 0, 0, -2, 0, -2, 2, 0, 0, -2, -2, 0, 0, -2, 0, 2, 0, 2, 2, -2, 2, 2, -2, 2, -2, 0, 0, 0, 0, 0, 2, -2, -2, 2, -2, 2, -2, 0, -2, -2, 2, 0, 0, 0, -2, 0, 0, 0, -2, -2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, -2, 0, -2, -2, 2, 2, 0, 2, -2, 0, 0, 2, 0, 2, -2, 0, 0, 2, 2, 0, 0, -2, 0, 0, 2, 0, 2, 0, 0, -2, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 2, -2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, -2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, -2, 2, 0, 0, 2, 0, -2, 0, -2, 0, 0, 0, -2, 0, -2, -2, -2, 2, 0, -2, 2, 2, 0, -2, -2, 2, 0, 2, 2, -2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, -2, 0, -2, -2, -2, 0, -2, 2, -2, 2, 0, 2, 2, 2, -2, 0, 2, -2, -2, -2, 2, -2, -2, -2, 0, -2, -2, -2, 0, 0, 0, 0], 'schur_index': 1}
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id: 3129477
{'cdim': 1, 'counter': 18, 'faithful': False, 'group': '384.5396', 'group_order': 384, 'image': None, 'label': '384.5396.1r', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [2, 2, 2, -2, -2, -2, -2, 2, 2, 2, -2, 0, 0, -2, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 2, 0, 2, -2, 0, 0, 2, 2, 0, -2, -2, 2, 2, -2, -2, 2, -2, -2, 2, -2, 2, 2, -2, 2, 0, 0, 0, 0, 0, 0, -2, 2, 2, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, 2, 0, 0, 2, 0, 2, 2, 2, -2, -2, -2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, -2, -2, 0, 0, -2, 2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 0, -2, 2, 2, 0, 0, 0, -2, 2, 0, 2, 0, 0, 0, 2, -2, -2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, -2, 0, 0, 0, 0, -2, -2, -2, -2, 0, -2, 0, 0, -2, 2, 0, 0, 2, 2, 0, -2, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, -2, -2, 0, -2, 2, 2, -2, 2, -2, 2, 0, 2, 2, -2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, -2, 0, 0, -2, 0, -2, 0, 0, 0, 0, 0, 2, 0, 2, 2, -2, -2, 0, -2, 2, 0, 0, -2, 0, -2, 2, 0, 0, -2, -2, 0, 0, 2, 0, 0, -2, 0, -2, 0, 0, 2, 0, -2, -2, 2, 0, -2, -2, -2, 2, -2, -2, 2, 2, -2, -2, 2, 2, -2, -2, 0, 0, 0, 0, -2, 2, 0, -2, -2, -2, 0, 0, -2, 0, 2, -2, -2, 2, 0, 2, 2, 2, 0, 2, -2, 2, 2, 0, 2, 2, 2, 2, 0, 0, -2, 2, 0, 2, 0, -2, 0, 2, 2, -2, 0, -2, 0, 0, 0, 0, 2, 0, 0, 0, -2, 0, 0, 0, -2, 0, 0, 0, 0, -2, 2, 0, 0, -2, 2, 0, 0, 0, 0, 0, -2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, -2, -2, -2, 2], 'schur_index': 1}
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id: 3129478
{'cdim': 1, 'counter': 19, 'faithful': False, 'group': '384.5396', 'group_order': 384, 'image': None, 'label': '384.5396.1s', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [2, 2, 2, -2, -2, -2, -2, 2, 2, 2, -2, 0, 0, -2, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 2, 0, 2, -2, 0, 0, 2, 2, 0, -2, -2, 2, 2, -2, -2, 2, -2, -2, 2, -2, 2, 2, -2, 2, 0, 0, 0, 0, 0, 0, -2, 2, 2, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, 2, 0, 0, 2, 0, 2, 2, 2, -2, -2, -2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, -2, -2, 0, 0, -2, 2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 0, 2, -2, -2, 0, 0, 0, 2, -2, 0, -2, 0, 0, 0, -2, 2, 2, 0, 0, -2, -2, -2, 0, 0, 0, -2, 0, -2, -2, -2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, -2, 0, 0, -2, -2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, 2, 2, 0, -2, 2, 2, -2, 2, -2, 2, 0, 2, 2, -2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, -2, 0, 0, -2, 0, -2, 0, 0, 0, 0, 0, 2, 0, 2, 2, -2, -2, 0, -2, 2, 0, 0, -2, 0, -2, 2, 0, 0, -2, -2, 0, 0, 2, 0, 0, -2, 0, -2, 0, 0, 2, 0, 2, 2, -2, 0, 2, 2, 2, -2, 2, 2, -2, -2, 2, 2, -2, -2, 2, 2, 0, 0, 0, 0, 2, -2, 0, 2, 2, 2, 0, 0, 2, 0, -2, 2, 2, -2, 0, -2, -2, -2, 0, -2, 2, -2, -2, 0, -2, -2, -2, -2, 0, 0, 2, -2, 0, -2, 0, 2, 0, -2, -2, 2, 0, 2, 0, 0, 0, 0, -2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, -2, 0, 0, 2, -2, 0, 0, 0, 0, 0, 2, 0, 0, -2, 0, -2, 0, 0, 0, -2, 0, 0, 0, 0, -2, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, -2], 'schur_index': 1}
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id: 3129480
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id: 3129491
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id: 3129492
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id: 3129493
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id: 3129494
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id: 3129497
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id: 3129498
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id: 3129499
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id: 3129500
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id: 3129502
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id: 3129503
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id: 3129504
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id: 3129505
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id: 3129506
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id: 3129507
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id: 3129508
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id: 3129509
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id: 3129510
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id: 3129511
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id: 3129513
{'cdim': 1, 'counter': 50, 'faithful': False, 'group': '384.5396', 'group_order': 384, 'image': None, 'label': '384.5396.1ax', 'multiplicity': 8, 'nt': [16, 1], 'qdim': 8, 'qvalues': [8, -8, 8, -8, 8, 8, -8, -8, 8, 8, 0, 8, 0, 0, -8, 0, 8, 0, 0, 0, 8, -8, 0, -8, 0, 0, 0, 0, 0, 8, -8, 0, 0, 0, -8, 8, -8, -8, -8, 8, -8, -8, 8, 8, 8, 8, -8, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, -8, 0, 0, 0, -8, -8, 8, 0, -8, 0, 0, -8, 8, 0, 0, 8, -8, 8, -8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 3129514
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id: 3129515
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id: 3129516
{'cdim': 1, 'counter': 53, 'faithful': False, 'group': '384.5396', 'group_order': 384, 'image': None, 'label': '384.5396.1ba', 'multiplicity': 8, 'nt': [16, 1], 'qdim': 8, 'qvalues': [8, 8, -8, -8, 8, -8, 8, -8, 8, 8, 0, 0, -8, 0, 0, 8, 0, 8, 0, -8, 0, 0, -8, 0, -8, 0, 8, 0, 0, 0, 0, 0, 0, 8, -8, -8, 8, 8, 8, -8, -8, -8, 8, -8, 8, -8, -8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 8, -8, 0, 8, 0, 0, 0, -8, 0, 0, 0, 0, -8, 8, -8, 8, 0, 0, 8, -8, 0, 0, 0, 0, -8, 0, 8, 0, 0, 0, -8, 8, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 3129517
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id: 3129518
{'cdim': 1, 'counter': 55, 'faithful': False, 'group': '384.5396', 'group_order': 384, 'image': None, 'label': '384.5396.1bc', 'multiplicity': 8, 'nt': [16, 1], 'qdim': 8, 'qvalues': [8, 8, -8, 8, -8, 8, -8, -8, 8, 8, 0, -8, 0, 0, -8, 0, 8, 0, 0, 0, 8, 8, 0, -8, 0, 0, 0, 0, 0, -8, 8, 0, 0, 0, 8, 8, 8, 8, -8, 8, -8, 8, -8, -8, -8, -8, -8, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 8, 0, 0, 0, -8, 8, -8, 0, -8, 0, 0, 8, -8, 0, 0, -8, 8, 8, -8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 3129519
{'cdim': 1, 'counter': 56, 'faithful': False, 'group': '384.5396', 'group_order': 384, 'image': None, 'label': '384.5396.1bd', 'multiplicity': 8, 'nt': [16, 1], 'qdim': 8, 'qvalues': [8, 8, -8, 8, -8, 8, -8, -8, 8, 8, 0, 8, 0, 0, 8, 0, -8, 0, 0, 0, -8, -8, 0, 8, 0, 0, 0, 0, 0, 8, -8, 0, 0, 0, 8, 8, 8, 8, -8, 8, -8, 8, -8, -8, -8, -8, -8, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, -8, 0, 0, 0, 8, -8, 8, 0, 8, 0, 0, -8, 8, 0, 0, 8, -8, -8, 8, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 3129520
{'cdim': 1, 'counter': 57, 'faithful': False, 'group': '384.5396', 'group_order': 384, 'image': None, 'label': '384.5396.1be', 'multiplicity': 8, 'nt': [24, 1], 'qdim': 8, 'qvalues': [8, -8, -8, -8, -8, 8, 8, 8, -4, -4, 8, -8, 8, -8, 8, -8, 8, 8, -8, -8, 8, -8, 8, 8, -8, -8, -8, 8, 8, -8, -8, -8, 8, 8, 4, -4, 4, 4, -4, -4, -4, 4, 4, 4, 4, 4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 3129521
{'cdim': 1, 'counter': 58, 'faithful': False, 'group': '384.5396', 'group_order': 384, 'image': None, 'label': '384.5396.1bf', 'multiplicity': 8, 'nt': [24, 1], 'qdim': 8, 'qvalues': [8, -8, -8, -8, -8, 8, 8, 8, -4, -4, 8, 8, -8, -8, -8, 8, -8, -8, -8, 8, -8, 8, -8, -8, 8, -8, 8, 8, 8, 8, 8, -8, 8, -8, 4, -4, 4, 4, -4, -4, -4, 4, 4, 4, 4, 4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, -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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 3129522
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id: 3129524
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id: 3129525
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id: 3129526
{'cdim': 1, 'counter': 62, 'faithful': False, 'group': '384.5396', 'group_order': 384, 'image': None, 'label': '384.5396.1bj', 'multiplicity': 8, 'nt': [24, 1], 'qdim': 8, 'qvalues': [8, 8, 8, -8, -8, -8, -8, 8, -4, -4, 8, 0, 0, 8, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, -8, 0, -8, 8, 0, 0, -8, -8, 0, 4, 4, -4, -4, 4, 4, -4, 4, 4, -4, 4, -4, -4, 4, 0, 8, 8, -8, -8, -8, 8, 0, 0, 0, 8, -8, -8, -8, 8, 8, 0, 0, 0, 0, 0, -8, -8, 0, 8, 0, 0, 0, 0, 0, 0, 8, 4, 4, 4, 0, 0, 4, 0, 4, 0, 0, 4, 0, -4, -4, 0, 0, -4, 4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, -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, -4, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, -4, -4, 4, 0, -4, -4, 4, 0, 0, 4, 0, 4, 4, 0, -4, 0, 4, -4, 4, 4, -4, 0, -4, 0, 0, 0, 0, -4, 0, 0, -4, 4, 0, 4, 0, 0, 4, 4, 0, 0, -4, 4, 0, -4, 4, 0, 4, 0, 4, -4, 0, -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], 'schur_index': 1}
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id: 3129527
{'cdim': 1, 'counter': 63, 'faithful': False, 'group': '384.5396', 'group_order': 384, 'image': None, 'label': '384.5396.1bk', 'multiplicity': 8, 'nt': [24, 1], 'qdim': 8, 'qvalues': [8, 8, 8, 8, 8, 8, 8, 8, -4, -4, -8, -8, 8, -8, -8, 8, -8, 8, -8, 8, -8, -8, 8, -8, 8, -8, 8, -8, -8, -8, -8, -8, -8, 8, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 3129528
{'cdim': 1, 'counter': 64, 'faithful': False, 'group': '384.5396', 'group_order': 384, 'image': None, 'label': '384.5396.1bl', 'multiplicity': 8, 'nt': [24, 1], 'qdim': 8, 'qvalues': [8, 8, 8, 8, 8, 8, 8, 8, -4, -4, -8, 8, -8, -8, 8, -8, 8, -8, -8, -8, 8, 8, -8, 8, -8, -8, -8, -8, -8, 8, 8, -8, -8, -8, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, -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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 3129529
{'cdim': 1, 'counter': 65, 'faithful': False, 'group': '384.5396', 'group_order': 384, 'image': None, 'label': '384.5396.1bm', 'multiplicity': 16, 'nt': [48, 0], 'qdim': 16, 'qvalues': [16, -16, 16, -16, 16, 16, -16, -16, -8, -8, 0, -16, 0, 0, 16, 0, -16, 0, 0, 0, -16, 16, 0, 16, 0, 0, 0, 0, 0, -16, 16, 0, 0, 0, 8, -8, 8, 8, 8, -8, 8, 8, -8, -8, -8, -8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, -8, 0, 0, 0, -8, -8, 8, 0, -8, 0, 0, -8, 8, 0, 0, 8, -8, 8, -8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 3129530
{'cdim': 1, 'counter': 66, 'faithful': False, 'group': '384.5396', 'group_order': 384, 'image': None, 'label': '384.5396.1bn', 'multiplicity': 16, 'nt': [48, 0], 'qdim': 16, 'qvalues': [16, -16, 16, -16, 16, 16, -16, -16, -8, -8, 0, 16, 0, 0, -16, 0, 16, 0, 0, 0, 16, -16, 0, -16, 0, 0, 0, 0, 0, 16, -16, 0, 0, 0, 8, -8, 8, 8, 8, -8, 8, 8, -8, -8, -8, -8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 8, 0, 0, 0, 8, 8, -8, 0, 8, 0, 0, 8, -8, 0, 0, -8, 8, -8, 8, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 3129531
{'cdim': 1, 'counter': 67, 'faithful': False, 'group': '384.5396', 'group_order': 384, 'image': None, 'label': '384.5396.1bo', 'multiplicity': 16, 'nt': [48, 0], 'qdim': 16, 'qvalues': [16, -16, 16, 16, -16, -16, 16, -16, -8, -8, 0, 0, -16, 0, 0, -16, 0, 16, 0, 16, 0, 0, -16, 0, 16, 0, -16, 0, 0, 0, 0, 0, 0, 16, -8, 8, 8, 8, -8, 8, 8, -8, 8, -8, 8, -8, 8, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 8, -8, 0, 8, 0, 0, 0, -8, 0, 0, 0, 0, 8, -8, -8, -8, 0, 0, -8, 8, 0, 0, 0, 0, 8, 0, 8, 0, 0, 0, 8, -8, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 3129532
{'cdim': 1, 'counter': 68, 'faithful': False, 'group': '384.5396', 'group_order': 384, 'image': None, 'label': '384.5396.1bp', 'multiplicity': 16, 'nt': [48, 0], 'qdim': 16, 'qvalues': [16, -16, 16, 16, -16, -16, 16, -16, -8, -8, 0, 0, 16, 0, 0, 16, 0, -16, 0, -16, 0, 0, 16, 0, -16, 0, 16, 0, 0, 0, 0, 0, 0, -16, -8, 8, 8, 8, -8, 8, 8, -8, 8, -8, 8, -8, 8, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, -8, 8, 0, -8, 0, 0, 0, 8, 0, 0, 0, 0, -8, 8, 8, 8, 0, 0, 8, -8, 0, 0, 0, 0, -8, 0, -8, 0, 0, 0, -8, 8, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 3129533
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id: 3129535
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id: 3129536
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id: 3129537
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gps_char • Show schema
Hide schema
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id: 4236697
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id: 4237022
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id: 4237023
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id: 4237024
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id: 4237025
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id: 4237027
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id: 4237028
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id: 4237029
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id: 4237030
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id: 4237031
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id: 4237032
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id: 4237033
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id: 4237034
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id: 4237035
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id: 4237036
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id: 4237038
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id: 4237039
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id: 4237040
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id: 4237041
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id: 4237042
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id: 4237043
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id: 4237044
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id: 4237045
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id: 4237046
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id: 4237047
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id: 4237049
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id: 4237050
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id: 4237051
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id: 4237052
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id: 4237053
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id: 4237054
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id: 4237055
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id: 4237056
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id: 4237057
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id: 4237058
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id: 4237060
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id: 4237061
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id: 4237062
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id: 4237063
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id: 4237064
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id: 4237065
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id: 4237066
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id: 4237067
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id: 4237068
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id: 4237069
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id: 4237071
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id: 4237072
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id: 4237073
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id: 4237074
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id: 4237075
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id: 4237076
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id: 4237077
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id: 4237078
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id: 4237079
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id: 4237080
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id: 4236699
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id: 4236700
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id: 4236701
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id: 4236702
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id: 4236703
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id: 4236704
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id: 4236705
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id: 4236706
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id: 4236707
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id: 4236708
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id: 4236710
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id: 4236711
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id: 4236712
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id: 4236713
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id: 4236714
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id: 4236715
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id: 4236716
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id: 4236717
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id: 4236718
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id: 4236719
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id: 4236721
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id: 4236722
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id: 4236723
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id: 4236724
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id: 4236725
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id: 4236726
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id: 4236727
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id: 4236728
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id: 4236729
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id: 4236730
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id: 4236732
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id: 4236733
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id: 4236734
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id: 4236735
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id: 4236736
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id: 4236737
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id: 4236738
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id: 4236739
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id: 4236740
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id: 4236741
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id: 4236743
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id: 4236744
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id: 4236745
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id: 4236746
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id: 4236747
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id: 4236748
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id: 4236749
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id: 4236750
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id: 4236751
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id: 4236752
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id: 4236754
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id: 4236755
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id: 4236756
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id: 4236757
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id: 4236758
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id: 4236759
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id: 4236760
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id: 4236761
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id: 4236762
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id: 4236763
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id: 4236765
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id: 4236766
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id: 4236767
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id: 4236768
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id: 4236769
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id: 4236770
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id: 4236771
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id: 4236772
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id: 4236773
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id: 4236774
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id: 4236776
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id: 4236777
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id: 4236778
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id: 4236779
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id: 4236780
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id: 4236781
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id: 4236782
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id: 4236783
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id: 4236784
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id: 4236785
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id: 4236787
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id: 4236788
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id: 4236789
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id: 4236790
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id: 4236791
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id: 4236792
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id: 4236793
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id: 4236794
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id: 4236795
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id: 4236796
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id: 4236798
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id: 4236799
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id: 4236800
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id: 4236801
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id: 4236802
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id: 4236803
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id: 4236804
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id: 4236805
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id: 4236806
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id: 4236807
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id: 4236810
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id: 4236811
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id: 4236812
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id: 4236813
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id: 4236814
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id: 4236815
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id: 4236816
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id: 4236817
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id: 4236818
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id: 4236819
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id: 4236821
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id: 4236822
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id: 4236823
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id: 4236824
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id: 4236825
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id: 4236826
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id: 4236827
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id: 4236828
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id: 4236829
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id: 4236830
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id: 4236832
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id: 4236833
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id: 4236834
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id: 4236835
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id: 4236836
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id: 4236837
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id: 4236838
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id: 4236839
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id: 4236840
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id: 4236841
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id: 4236843
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id: 4236844
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id: 4236845
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id: 4236846
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id: 4236847
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id: 4236848
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id: 4236849
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id: 4236850
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id: 4236851
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id: 4236852
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id: 4236854
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id: 4236855
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id: 4236856
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id: 4236857
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id: 4236858
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id: 4236859
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id: 4236860
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id: 4236861
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id: 4236862
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id: 4236863
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id: 4236865
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id: 4236866
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id: 4236867
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id: 4236868
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id: 4236869
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id: 4236870
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id: 4236871
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id: 4236872
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id: 4236882
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id: 4236883
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id: 4236884
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id: 4236885
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id: 4236887
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id: 4236888
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id: 4236889
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id: 4236873
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id: 4236874
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id: 4236876
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id: 4236877
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id: 4236878
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id: 4236879
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id: 4236880
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id: 4236881
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id: 4236890
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id: 4236900
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id: 4236901
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id: 4236902
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id: 4236903
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id: 4236904
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id: 4236905
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id: 4236906
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id: 4236891
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id: 4236892
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id: 4236893
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id: 4236894
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id: 4236895
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id: 4236896
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id: 4236898
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id: 4236899
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id: 4236907
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id: 4236917
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id: 4236918
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id: 4236921
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id: 4236922
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id: 4236923
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id: 4236924
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id: 4236925
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id: 4236909
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id: 4236910
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id: 4236911
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id: 4236912
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id: 4236913
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id: 4236914
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id: 4236915
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id: 4236916
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id: 4236926
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id: 4236936
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id: 4236937
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id: 4236938
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id: 4236939
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id: 4236940
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id: 4236941
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id: 4236943
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id: 4236927
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id: 4236928
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id: 4236929
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id: 4236930
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id: 4236932
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id: 4236933
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id: 4236934
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id: 4236935
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id: 4236944
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id: 4236954
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id: 4236955
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id: 4236956
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id: 4236957
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id: 4236958
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id: 4236959
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id: 4236960
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id: 4236945
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id: 4236946
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id: 4236947
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id: 4236948
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id: 4236949
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id: 4236950
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id: 4236951
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id: 4236952
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id: 4236961
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id: 4236971
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id: 4236972
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id: 4236973
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id: 4236974
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id: 4236976
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id: 4236977
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id: 4236978
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id: 4236962
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id: 4236963
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id: 4236965
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id: 4236966
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id: 4236967
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id: 4236968
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id: 4236969
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id: 4236970
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id: 4236979
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id: 4236989
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id: 4236990
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id: 4236991
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id: 4236992
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id: 4236993
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id: 4236994
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id: 4236995
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id: 4236980
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id: 4236981
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id: 4236982
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id: 4236983
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id: 4236984
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id: 4236985
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id: 4236987
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id: 4236988
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id: 4236996
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id: 4237006
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id: 4237007
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id: 4237009
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id: 4237010
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id: 4237011
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id: 4237012
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id: 4237013
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id: 4236998
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id: 4236999
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id: 4237000
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id: 4237001
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id: 4237002
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id: 4237003
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id: 4237004
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id: 4237005
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id: 4236919
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id: 4237015
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id: 4237026
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id: 4237037
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id: 4237048
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id: 4237059
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id: 4237070
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id: 4236698
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id: 4236709
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id: 4236720
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id: 4236731
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id: 4236742
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id: 4236753
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id: 4236764
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id: 4236775
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id: 4236786
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id: 4236797
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id: 4236809
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id: 4236820
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id: 4236831
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id: 4236842
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id: 4236853
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id: 4236864
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id: 4236875
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id: 4236886
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id: 4236897
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id: 4236908
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id: 4236920
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id: 4236931
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id: 4236942
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id: 4236953
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id: 4236964
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id: 4236975
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id: 4236986
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id: 4236997
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id: 4237008
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id: 4237014
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id: 4237016
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id: 4237017
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id: 4237018
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id: 4237019
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id: 4237020
{'center': '1.a1', 'center_index': 1, 'center_order': 384, 'counter': 44, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '384.5396', 'group_counter': 5396, 'group_order': 384, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.b1', 'kernel_order': 64, 'label': '384.5396.1z2', 'nt': [6, 2], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[1, -1]], [[-1, -1]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[1, -1]], [[-1, -1]], [[1, 1]], [[1, 1]], [[-1, -1]], [[-1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[1, -1]], [[1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[-1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[1, -1]], [[1, 1]], [[-1, -1]], [[1, -1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, -1]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, -1]], [[-1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[-1, -1]], [[1, -1]], [[1, 1]], [[-1, 1]], [[-1, -1]], [[1, 1]], [[-1, 1]], [[1, -1]], [[1, -1]], [[-1, -1]], [[-1, -1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[1, -1]], [[-1, -1]], [[1, -1]], [[-1, -1]], [[-1, -1]], [[1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[1, -1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[1, -1]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[1, 1]], [[-1, -1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[1, 1]], [[-1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[-1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[-1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[-1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[-1, -1]], [[-1, -1]], [[1, -1]], [[1, 1]], [[-1, -1]], [[-1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, -1]], [[1, -1]], [[1, -1]], [[-1, 1]], [[1, -1]], [[-1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[-1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[-1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[-1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[-1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]]]}
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gps_subgroup_search • Show schema
Hide schema
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id: 56432096
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '384.5396', 'ambient_counter': 5396, 'ambient_order': 384, 'ambient_tex': 'C_2\\times C_4\\times C_{48}', 'central': True, 'central_factor': False, 'centralizer_order': 384, 'characteristic': True, 'core_order': 384, 'counter': 1, 'cyclic': False, 'direct': True, 'hall': 6, 'label': '384.5396.1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1.a1', 'outer_equivalence': True, 'perfect': False, 'proper': False, 'quotient': '1.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 1, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_1', 'simple': False, 'solvable': True, 'special_labels': ['Z', 'F', 'R', 'U0', 'L0', 'D0', 'C0'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '384.5396', 'subgroup_hash': 5396, 'subgroup_order': 384, 'subgroup_tex': 'C_2\\times C_4\\times C_{48}', 'supersolvable': True, 'sylow': 0}
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id: 56432107
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '384.5396', 'ambient_counter': 5396, 'ambient_order': 384, 'ambient_tex': 'C_2\\times C_4\\times C_{48}', 'central': True, 'central_factor': False, 'centralizer_order': 384, 'characteristic': True, 'core_order': 192, 'counter': 2, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.5396.2.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': ['C1'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '192.835', 'subgroup_hash': 835, 'subgroup_order': 192, 'subgroup_tex': 'C_2\\times C_4\\times C_{24}', 'supersolvable': True, 'sylow': 0}
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id: 56432118
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '384.5396', 'ambient_counter': 5396, 'ambient_order': 384, 'ambient_tex': 'C_2\\times C_4\\times C_{48}', 'central': True, 'central_factor': False, 'centralizer_order': 384, 'characteristic': False, 'core_order': 192, 'counter': 3, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.5396.2.b1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '192.935', 'subgroup_hash': 935, 'subgroup_order': 192, 'subgroup_tex': 'C_2^2\\times C_{48}', 'supersolvable': True, 'sylow': 0}
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id: 56432129
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '384.5396', 'ambient_counter': 5396, 'ambient_order': 384, 'ambient_tex': 'C_2\\times C_4\\times C_{48}', 'central': True, 'central_factor': False, 'centralizer_order': 384, 'characteristic': False, 'core_order': 192, 'counter': 4, 'cyclic': False, 'direct': True, 'hall': 0, 'label': '384.5396.2.c1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '192.151', 'subgroup_hash': 151, 'subgroup_order': 192, 'subgroup_tex': 'C_4\\times C_{48}', 'supersolvable': True, 'sylow': 0}
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id: 56432140
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '384.5396', 'ambient_counter': 5396, 'ambient_order': 384, 'ambient_tex': 'C_2\\times C_4\\times C_{48}', 'central': True, 'central_factor': False, 'centralizer_order': 384, 'characteristic': True, 'core_order': 128, 'counter': 5, 'cyclic': False, 'direct': True, 'hall': 2, 'label': '384.5396.3.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '3.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '3.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 3, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '128.837', 'subgroup_hash': 837, 'subgroup_order': 128, 'subgroup_tex': 'C_2\\times C_4\\times C_{16}', 'supersolvable': True, 'sylow': 2}
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id: 56432151
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '384.5396', 'ambient_counter': 5396, 'ambient_order': 384, 'ambient_tex': 'C_2\\times C_4\\times C_{48}', 'central': True, 'central_factor': False, 'centralizer_order': 384, 'characteristic': False, 'core_order': 96, 'counter': 6, 'cyclic': False, 'direct': True, 'hall': 0, 'label': '384.5396.4.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '96.59', 'subgroup_hash': 59, 'subgroup_order': 96, 'subgroup_tex': 'C_2\\times C_{48}', 'supersolvable': True, 'sylow': 0}
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id: 56432162
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '384.5396', 'ambient_counter': 5396, 'ambient_order': 384, 'ambient_tex': 'C_2\\times C_4\\times C_{48}', 'central': True, 'central_factor': False, 'centralizer_order': 384, 'characteristic': True, 'core_order': 96, 'counter': 7, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.5396.4.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '96.161', 'subgroup_hash': 161, 'subgroup_order': 96, 'subgroup_tex': 'C_2\\times C_4\\times C_{12}', 'supersolvable': True, 'sylow': 0}
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id: 56432173
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '384.5396', 'ambient_counter': 5396, 'ambient_order': 384, 'ambient_tex': 'C_2\\times C_4\\times C_{48}', 'central': True, 'central_factor': False, 'centralizer_order': 384, 'characteristic': True, 'core_order': 96, 'counter': 8, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.5396.4.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '96.176', 'subgroup_hash': 176, 'subgroup_order': 96, 'subgroup_tex': 'C_2^2\\times C_{24}', 'supersolvable': True, 'sylow': 0}
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id: 56432179
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '384.5396', 'ambient_counter': 5396, 'ambient_order': 384, 'ambient_tex': 'C_2\\times C_4\\times C_{48}', 'central': True, 'central_factor': False, 'centralizer_order': 384, 'characteristic': True, 'core_order': 96, 'counter': 9, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.5396.4.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': ['C2'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '96.176', 'subgroup_hash': 176, 'subgroup_order': 96, 'subgroup_tex': 'C_2^2\\times C_{24}', 'supersolvable': True, 'sylow': 0}
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id: 56432097
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '384.5396', 'ambient_counter': 5396, 'ambient_order': 384, 'ambient_tex': 'C_2\\times C_4\\times C_{48}', 'central': True, 'central_factor': False, 'centralizer_order': 384, 'characteristic': False, 'core_order': 96, 'counter': 10, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.5396.4.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '96.46', 'subgroup_hash': 46, 'subgroup_order': 96, 'subgroup_tex': 'C_4\\times C_{24}', 'supersolvable': True, 'sylow': 0}
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id: 56432098
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '384.5396', 'ambient_counter': 5396, 'ambient_order': 384, 'ambient_tex': 'C_2\\times C_4\\times C_{48}', 'central': True, 'central_factor': False, 'centralizer_order': 384, 'characteristic': False, 'core_order': 96, 'counter': 11, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.5396.4.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '96.46', 'subgroup_hash': 46, 'subgroup_order': 96, 'subgroup_tex': 'C_4\\times C_{24}', 'supersolvable': True, 'sylow': 0}
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id: 56432099
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '384.5396', 'ambient_counter': 5396, 'ambient_order': 384, 'ambient_tex': 'C_2\\times C_4\\times C_{48}', 'central': True, 'central_factor': False, 'centralizer_order': 384, 'characteristic': False, 'core_order': 96, 'counter': 12, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.5396.4.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '96.59', 'subgroup_hash': 59, 'subgroup_order': 96, 'subgroup_tex': 'C_2\\times C_{48}', 'supersolvable': True, 'sylow': 0}
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id: 56432100
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '384.5396', 'ambient_counter': 5396, 'ambient_order': 384, 'ambient_tex': 'C_2\\times C_4\\times C_{48}', 'central': True, 'central_factor': False, 'centralizer_order': 384, 'characteristic': True, 'core_order': 64, 'counter': 13, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.5396.6.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '6.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '6.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 6, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '64.83', 'subgroup_hash': 83, 'subgroup_order': 64, 'subgroup_tex': 'C_2\\times C_4\\times C_8', 'supersolvable': True, 'sylow': 0}
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id: 56432101
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '384.5396', 'ambient_counter': 5396, 'ambient_order': 384, 'ambient_tex': 'C_2\\times C_4\\times C_{48}', 'central': True, 'central_factor': False, 'centralizer_order': 384, 'characteristic': False, 'core_order': 64, 'counter': 14, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.5396.6.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '6.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '6.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 6, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '64.183', 'subgroup_hash': 183, 'subgroup_order': 64, 'subgroup_tex': 'C_2^2\\times C_{16}', 'supersolvable': True, 'sylow': 0}
-
id: 56432102
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '384.5396', 'ambient_counter': 5396, 'ambient_order': 384, 'ambient_tex': 'C_2\\times C_4\\times C_{48}', 'central': True, 'central_factor': False, 'centralizer_order': 384, 'characteristic': False, 'core_order': 64, 'counter': 15, 'cyclic': False, 'direct': True, 'hall': 0, 'label': '384.5396.6.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '6.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '6.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 6, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '64.26', 'subgroup_hash': 26, 'subgroup_order': 64, 'subgroup_tex': 'C_4\\times C_{16}', 'supersolvable': True, 'sylow': 0}
-
id: 56432103
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '384.5396', 'ambient_counter': 5396, 'ambient_order': 384, 'ambient_tex': 'C_2\\times C_4\\times C_{48}', 'central': True, 'central_factor': False, 'centralizer_order': 384, 'characteristic': False, 'core_order': 48, 'counter': 16, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.5396.8.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '48.23', 'subgroup_hash': 23, 'subgroup_order': 48, 'subgroup_tex': 'C_2\\times C_{24}', 'supersolvable': True, 'sylow': 0}
-
id: 56432104
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '384.5396', 'ambient_counter': 5396, 'ambient_order': 384, 'ambient_tex': 'C_2\\times C_4\\times C_{48}', 'central': True, 'central_factor': False, 'centralizer_order': 384, 'characteristic': False, 'core_order': 48, 'counter': 17, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.5396.8.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '48.23', 'subgroup_hash': 23, 'subgroup_order': 48, 'subgroup_tex': 'C_2\\times C_{24}', 'supersolvable': True, 'sylow': 0}
-
id: 56432105
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '384.5396', 'ambient_counter': 5396, 'ambient_order': 384, 'ambient_tex': 'C_2\\times C_4\\times C_{48}', 'central': True, 'central_factor': False, 'centralizer_order': 384, 'characteristic': False, 'core_order': 48, 'counter': 18, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.5396.8.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '48.44', 'subgroup_hash': 44, 'subgroup_order': 48, 'subgroup_tex': 'C_2^2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 56432106
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '384.5396', 'ambient_counter': 5396, 'ambient_order': 384, 'ambient_tex': 'C_2\\times C_4\\times C_{48}', 'central': True, 'central_factor': False, 'centralizer_order': 384, 'characteristic': True, 'core_order': 48, 'counter': 19, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.5396.8.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '48.44', 'subgroup_hash': 44, 'subgroup_order': 48, 'subgroup_tex': 'C_2^2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 56432108
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '384.5396', 'ambient_counter': 5396, 'ambient_order': 384, 'ambient_tex': 'C_2\\times C_4\\times C_{48}', 'central': True, 'central_factor': False, 'centralizer_order': 384, 'characteristic': False, 'core_order': 48, 'counter': 20, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.5396.8.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '48.20', 'subgroup_hash': 20, 'subgroup_order': 48, 'subgroup_tex': 'C_4\\times C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 56432109
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '384.5396', 'ambient_counter': 5396, 'ambient_order': 384, 'ambient_tex': 'C_2\\times C_4\\times C_{48}', 'central': True, 'central_factor': False, 'centralizer_order': 384, 'characteristic': False, 'core_order': 48, 'counter': 21, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.5396.8.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '48.20', 'subgroup_hash': 20, 'subgroup_order': 48, 'subgroup_tex': 'C_4\\times C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 56432110
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '384.5396', 'ambient_counter': 5396, 'ambient_order': 384, 'ambient_tex': 'C_2\\times C_4\\times C_{48}', 'central': True, 'central_factor': False, 'centralizer_order': 384, 'characteristic': False, 'core_order': 48, 'counter': 22, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.5396.8.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '48.23', 'subgroup_hash': 23, 'subgroup_order': 48, 'subgroup_tex': 'C_2\\times C_{24}', 'supersolvable': True, 'sylow': 0}
-
id: 56432111
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '384.5396', 'ambient_counter': 5396, 'ambient_order': 384, 'ambient_tex': 'C_2\\times C_4\\times C_{48}', 'central': True, 'central_factor': False, 'centralizer_order': 384, 'characteristic': True, 'core_order': 48, 'counter': 23, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.5396.8.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '48.23', 'subgroup_hash': 23, 'subgroup_order': 48, 'subgroup_tex': 'C_2\\times C_{24}', 'supersolvable': True, 'sylow': 0}
-
id: 56432112
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '384.5396', 'ambient_counter': 5396, 'ambient_order': 384, 'ambient_tex': 'C_2\\times C_4\\times C_{48}', 'central': True, 'central_factor': False, 'centralizer_order': 384, 'characteristic': True, 'core_order': 48, 'counter': 24, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.5396.8.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': ['C3'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '48.23', 'subgroup_hash': 23, 'subgroup_order': 48, 'subgroup_tex': 'C_2\\times C_{24}', 'supersolvable': True, 'sylow': 0}
-
id: 56432113
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '384.5396', 'ambient_counter': 5396, 'ambient_order': 384, 'ambient_tex': 'C_2\\times C_4\\times C_{48}', 'central': True, 'central_factor': False, 'centralizer_order': 384, 'characteristic': False, 'core_order': 48, 'counter': 25, 'cyclic': True, 'direct': True, 'hall': 0, 'label': '384.5396.8.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '48.2', 'subgroup_hash': 2, 'subgroup_order': 48, 'subgroup_tex': 'C_{48}', 'supersolvable': True, 'sylow': 0}
-
id: 56432114
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '384.5396', 'ambient_counter': 5396, 'ambient_order': 384, 'ambient_tex': 'C_2\\times C_4\\times C_{48}', 'central': True, 'central_factor': False, 'centralizer_order': 384, 'characteristic': False, 'core_order': 32, 'counter': 26, 'cyclic': False, 'direct': True, 'hall': 0, 'label': '384.5396.12.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '12.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '12.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '32.16', 'subgroup_hash': 16, 'subgroup_order': 32, 'subgroup_tex': 'C_2\\times C_{16}', 'supersolvable': True, 'sylow': 0}
-
id: 56432115
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '384.5396', 'ambient_counter': 5396, 'ambient_order': 384, 'ambient_tex': 'C_2\\times C_4\\times C_{48}', 'central': True, 'central_factor': False, 'centralizer_order': 384, 'characteristic': True, 'core_order': 32, 'counter': 27, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.5396.12.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '12.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '12.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '32.21', 'subgroup_hash': 21, 'subgroup_order': 32, 'subgroup_tex': 'C_2\\times C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 56432116
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '384.5396', 'ambient_counter': 5396, 'ambient_order': 384, 'ambient_tex': 'C_2\\times C_4\\times C_{48}', 'central': True, 'central_factor': False, 'centralizer_order': 384, 'characteristic': True, 'core_order': 32, 'counter': 28, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.5396.12.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '12.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '12.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '32.36', 'subgroup_hash': 36, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times C_8', 'supersolvable': True, 'sylow': 0}
-
id: 56432117
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '384.5396', 'ambient_counter': 5396, 'ambient_order': 384, 'ambient_tex': 'C_2\\times C_4\\times C_{48}', 'central': True, 'central_factor': False, 'centralizer_order': 384, 'characteristic': True, 'core_order': 32, 'counter': 29, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.5396.12.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '12.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '12.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '32.36', 'subgroup_hash': 36, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times C_8', 'supersolvable': True, 'sylow': 0}
-
id: 56432119
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '384.5396', 'ambient_counter': 5396, 'ambient_order': 384, 'ambient_tex': 'C_2\\times C_4\\times C_{48}', 'central': True, 'central_factor': False, 'centralizer_order': 384, 'characteristic': False, 'core_order': 32, 'counter': 30, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.5396.12.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '12.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '12.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '32.3', 'subgroup_hash': 3, 'subgroup_order': 32, 'subgroup_tex': 'C_4\\times C_8', 'supersolvable': True, 'sylow': 0}
-
id: 56432120
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '384.5396', 'ambient_counter': 5396, 'ambient_order': 384, 'ambient_tex': 'C_2\\times C_4\\times C_{48}', 'central': True, 'central_factor': False, 'centralizer_order': 384, 'characteristic': False, 'core_order': 32, 'counter': 31, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.5396.12.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '12.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '12.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '32.3', 'subgroup_hash': 3, 'subgroup_order': 32, 'subgroup_tex': 'C_4\\times C_8', 'supersolvable': True, 'sylow': 0}
-
id: 56432121
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '384.5396', 'ambient_counter': 5396, 'ambient_order': 384, 'ambient_tex': 'C_2\\times C_4\\times C_{48}', 'central': True, 'central_factor': False, 'centralizer_order': 384, 'characteristic': False, 'core_order': 32, 'counter': 32, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.5396.12.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '12.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '12.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '32.16', 'subgroup_hash': 16, 'subgroup_order': 32, 'subgroup_tex': 'C_2\\times C_{16}', 'supersolvable': True, 'sylow': 0}
-
id: 56432122
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '384.5396', 'ambient_counter': 5396, 'ambient_order': 384, 'ambient_tex': 'C_2\\times C_4\\times C_{48}', 'central': True, 'central_factor': False, 'centralizer_order': 384, 'characteristic': False, 'core_order': 24, 'counter': 33, 'cyclic': False, 'direct': True, 'hall': 0, 'label': '384.5396.16.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{16}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 56432123
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '384.5396', 'ambient_counter': 5396, 'ambient_order': 384, 'ambient_tex': 'C_2\\times C_4\\times C_{48}', 'central': True, 'central_factor': False, 'centralizer_order': 384, 'characteristic': False, 'core_order': 24, 'counter': 34, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.5396.16.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 56432124
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '384.5396', 'ambient_counter': 5396, 'ambient_order': 384, 'ambient_tex': 'C_2\\times C_4\\times C_{48}', 'central': True, 'central_factor': False, 'centralizer_order': 384, 'characteristic': False, 'core_order': 24, 'counter': 35, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.5396.16.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 56432125
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '384.5396', 'ambient_counter': 5396, 'ambient_order': 384, 'ambient_tex': 'C_2\\times C_4\\times C_{48}', 'central': True, 'central_factor': False, 'centralizer_order': 384, 'characteristic': True, 'core_order': 24, 'counter': 36, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.5396.16.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_8', 'simple': False, 'solvable': True, 'special_labels': ['S'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '24.15', 'subgroup_hash': 15, 'subgroup_order': 24, 'subgroup_tex': 'C_2^2\\times C_6', 'supersolvable': True, 'sylow': 0}
-
id: 56432126
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '384.5396', 'ambient_counter': 5396, 'ambient_order': 384, 'ambient_tex': 'C_2\\times C_4\\times C_{48}', 'central': True, 'central_factor': False, 'centralizer_order': 384, 'characteristic': False, 'core_order': 24, 'counter': 37, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.5396.16.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 56432127
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '384.5396', 'ambient_counter': 5396, 'ambient_order': 384, 'ambient_tex': 'C_2\\times C_4\\times C_{48}', 'central': True, 'central_factor': False, 'centralizer_order': 384, 'characteristic': True, 'core_order': 24, 'counter': 38, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.5396.16.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 56432128
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '384.5396', 'ambient_counter': 5396, 'ambient_order': 384, 'ambient_tex': 'C_2\\times C_4\\times C_{48}', 'central': True, 'central_factor': False, 'centralizer_order': 384, 'characteristic': True, 'core_order': 24, 'counter': 39, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.5396.16.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 10, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': ['C4'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 56432130
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '384.5396', 'ambient_counter': 5396, 'ambient_order': 384, 'ambient_tex': 'C_2\\times C_4\\times C_{48}', 'central': True, 'central_factor': False, 'centralizer_order': 384, 'characteristic': False, 'core_order': 24, 'counter': 40, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '384.5396.16.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_8', '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: 56432131
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '384.5396', 'ambient_counter': 5396, 'ambient_order': 384, 'ambient_tex': 'C_2\\times C_4\\times C_{48}', 'central': True, 'central_factor': False, 'centralizer_order': 384, 'characteristic': False, 'core_order': 24, 'counter': 41, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '384.5396.16.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '24.2', 'subgroup_hash': 2, 'subgroup_order': 24, 'subgroup_tex': 'C_{24}', 'supersolvable': True, 'sylow': 0}
-
id: 56432132
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '384.5396', 'ambient_counter': 5396, 'ambient_order': 384, 'ambient_tex': 'C_2\\times C_4\\times C_{48}', 'central': True, 'central_factor': False, 'centralizer_order': 384, 'characteristic': False, 'core_order': 24, 'counter': 42, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '384.5396.16.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 10, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '24.2', 'subgroup_hash': 2, 'subgroup_order': 24, 'subgroup_tex': 'C_{24}', 'supersolvable': True, 'sylow': 0}
-
id: 56432133
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '384.5396', 'ambient_counter': 5396, 'ambient_order': 384, 'ambient_tex': 'C_2\\times C_4\\times C_{48}', 'central': True, 'central_factor': False, 'centralizer_order': 384, 'characteristic': False, 'core_order': 16, 'counter': 43, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.5396.24.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '24.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{24}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '16.5', 'subgroup_hash': 5, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times C_8', 'supersolvable': True, 'sylow': 0}
-
id: 56432134
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '384.5396', 'ambient_counter': 5396, 'ambient_order': 384, 'ambient_tex': 'C_2\\times C_4\\times C_{48}', 'central': True, 'central_factor': False, 'centralizer_order': 384, 'characteristic': False, 'core_order': 16, 'counter': 44, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.5396.24.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '24.9', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 9, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '16.5', 'subgroup_hash': 5, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times C_8', 'supersolvable': True, 'sylow': 0}
-
id: 56432135
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '384.5396', 'ambient_counter': 5396, 'ambient_order': 384, 'ambient_tex': 'C_2\\times C_4\\times C_{48}', 'central': True, 'central_factor': False, 'centralizer_order': 384, 'characteristic': False, 'core_order': 16, 'counter': 45, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.5396.24.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '24.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{24}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 56432136
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '384.5396', 'ambient_counter': 5396, 'ambient_order': 384, 'ambient_tex': 'C_2\\times C_4\\times C_{48}', 'central': True, 'central_factor': False, 'centralizer_order': 384, 'characteristic': True, 'core_order': 16, 'counter': 46, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.5396.24.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '24.9', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 9, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 56432137
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '384.5396', 'ambient_counter': 5396, 'ambient_order': 384, 'ambient_tex': 'C_2\\times C_4\\times C_{48}', 'central': True, 'central_factor': False, 'centralizer_order': 384, 'characteristic': False, 'core_order': 16, 'counter': 47, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.5396.24.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '24.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{24}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '16.2', 'subgroup_hash': 2, 'subgroup_order': 16, 'subgroup_tex': 'C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 56432138
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '384.5396', 'ambient_counter': 5396, 'ambient_order': 384, 'ambient_tex': 'C_2\\times C_4\\times C_{48}', 'central': True, 'central_factor': False, 'centralizer_order': 384, 'characteristic': False, 'core_order': 16, 'counter': 48, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.5396.24.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '24.9', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 9, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '16.2', 'subgroup_hash': 2, 'subgroup_order': 16, 'subgroup_tex': 'C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 56432139
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '384.5396', 'ambient_counter': 5396, 'ambient_order': 384, 'ambient_tex': 'C_2\\times C_4\\times C_{48}', 'central': True, 'central_factor': False, 'centralizer_order': 384, 'characteristic': False, 'core_order': 16, 'counter': 49, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.5396.24.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '24.9', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 9, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '16.5', 'subgroup_hash': 5, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times C_8', 'supersolvable': True, 'sylow': 0}
-
id: 56432141
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '384.5396', 'ambient_counter': 5396, 'ambient_order': 384, 'ambient_tex': 'C_2\\times C_4\\times C_{48}', 'central': True, 'central_factor': False, 'centralizer_order': 384, 'characteristic': True, 'core_order': 16, 'counter': 50, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.5396.24.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '24.9', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 9, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '16.5', 'subgroup_hash': 5, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times C_8', 'supersolvable': True, 'sylow': 0}
-
id: 56432142
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '384.5396', 'ambient_counter': 5396, 'ambient_order': 384, 'ambient_tex': 'C_2\\times C_4\\times C_{48}', 'central': True, 'central_factor': False, 'centralizer_order': 384, 'characteristic': True, 'core_order': 16, 'counter': 51, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.5396.24.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '24.15', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 15, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_6', 'simple': False, 'solvable': True, 'special_labels': ['Phi'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '16.5', 'subgroup_hash': 5, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times C_8', 'supersolvable': True, 'sylow': 0}
-
id: 56432143
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '384.5396', 'ambient_counter': 5396, 'ambient_order': 384, 'ambient_tex': 'C_2\\times C_4\\times C_{48}', 'central': True, 'central_factor': False, 'centralizer_order': 384, 'characteristic': False, 'core_order': 16, 'counter': 52, 'cyclic': True, 'direct': True, 'hall': 0, 'label': '384.5396.24.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '24.9', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 9, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '16.1', 'subgroup_hash': 1, 'subgroup_order': 16, 'subgroup_tex': 'C_{16}', 'supersolvable': True, 'sylow': 0}
-
id: 56432144
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '384.5396', 'ambient_counter': 5396, 'ambient_order': 384, 'ambient_tex': 'C_2\\times C_4\\times C_{48}', 'central': True, 'central_factor': False, 'centralizer_order': 384, 'characteristic': False, 'core_order': 12, 'counter': 53, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.5396.32.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.16', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 16, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{16}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
-
id: 56432145
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '384.5396', 'ambient_counter': 5396, 'ambient_order': 384, 'ambient_tex': 'C_2\\times C_4\\times C_{48}', 'central': True, 'central_factor': False, 'centralizer_order': 384, 'characteristic': False, 'core_order': 12, 'counter': 54, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.5396.32.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.3', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times C_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
-
id: 56432146
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '384.5396', 'ambient_counter': 5396, 'ambient_order': 384, 'ambient_tex': 'C_2\\times C_4\\times C_{48}', 'central': True, 'central_factor': False, 'centralizer_order': 384, 'characteristic': False, 'core_order': 12, 'counter': 55, 'cyclic': True, 'direct': True, 'hall': 0, 'label': '384.5396.32.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.16', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 16, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{16}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '12.2', 'subgroup_hash': 2, 'subgroup_order': 12, 'subgroup_tex': 'C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 56432147
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '384.5396', 'ambient_counter': 5396, 'ambient_order': 384, 'ambient_tex': 'C_2\\times C_4\\times C_{48}', 'central': True, 'central_factor': False, 'centralizer_order': 384, 'characteristic': True, 'core_order': 12, 'counter': 56, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.5396.32.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.36', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 36, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
-
id: 56432148
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '384.5396', 'ambient_counter': 5396, 'ambient_order': 384, 'ambient_tex': 'C_2\\times C_4\\times C_{48}', 'central': True, 'central_factor': False, 'centralizer_order': 384, 'characteristic': False, 'core_order': 12, 'counter': 57, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '384.5396.32.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.3', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times C_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '12.2', 'subgroup_hash': 2, 'subgroup_order': 12, 'subgroup_tex': 'C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 56432149
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '384.5396', 'ambient_counter': 5396, 'ambient_order': 384, 'ambient_tex': 'C_2\\times C_4\\times C_{48}', 'central': True, 'central_factor': False, 'centralizer_order': 384, 'characteristic': True, 'core_order': 12, 'counter': 58, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '384.5396.32.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.36', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 36, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '12.2', 'subgroup_hash': 2, 'subgroup_order': 12, 'subgroup_tex': 'C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 56432150
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '384.5396', 'ambient_counter': 5396, 'ambient_order': 384, 'ambient_tex': 'C_2\\times C_4\\times C_{48}', 'central': True, 'central_factor': False, 'centralizer_order': 384, 'characteristic': True, 'core_order': 12, 'counter': 59, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '384.5396.32.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.21', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 21, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4^2', 'simple': False, 'solvable': True, 'special_labels': ['C5'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '12.2', 'subgroup_hash': 2, 'subgroup_order': 12, 'subgroup_tex': 'C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 56432152
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '384.5396', 'ambient_counter': 5396, 'ambient_order': 384, 'ambient_tex': 'C_2\\times C_4\\times C_{48}', 'central': True, 'central_factor': False, 'centralizer_order': 384, 'characteristic': False, 'core_order': 8, 'counter': 60, 'cyclic': False, 'direct': True, 'hall': 0, 'label': '384.5396.48.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '48.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{48}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 56432153
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '384.5396', 'ambient_counter': 5396, 'ambient_order': 384, 'ambient_tex': 'C_2\\times C_4\\times C_{48}', 'central': True, 'central_factor': False, 'centralizer_order': 384, 'characteristic': False, 'core_order': 8, 'counter': 61, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.5396.48.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '48.23', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 23, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{24}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 56432154
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '384.5396', 'ambient_counter': 5396, 'ambient_order': 384, 'ambient_tex': 'C_2\\times C_4\\times C_{48}', 'central': True, 'central_factor': False, 'centralizer_order': 384, 'characteristic': False, 'core_order': 8, 'counter': 62, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.5396.48.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '48.20', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 20, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 56432155
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '384.5396', 'ambient_counter': 5396, 'ambient_order': 384, 'ambient_tex': 'C_2\\times C_4\\times C_{48}', 'central': True, 'central_factor': False, 'centralizer_order': 384, 'characteristic': True, 'core_order': 8, 'counter': 63, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.5396.48.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '48.23', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 23, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{24}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 56432156
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '384.5396', 'ambient_counter': 5396, 'ambient_order': 384, 'ambient_tex': 'C_2\\times C_4\\times C_{48}', 'central': True, 'central_factor': False, 'centralizer_order': 384, 'characteristic': False, 'core_order': 8, 'counter': 64, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.5396.48.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '48.23', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 23, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{24}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 56432157
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '384.5396', 'ambient_counter': 5396, 'ambient_order': 384, 'ambient_tex': 'C_2\\times C_4\\times C_{48}', 'central': True, 'central_factor': False, 'centralizer_order': 384, 'characteristic': True, 'core_order': 8, 'counter': 65, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.5396.48.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '48.23', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 23, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{24}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 56432158
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '384.5396', 'ambient_counter': 5396, 'ambient_order': 384, 'ambient_tex': 'C_2\\times C_4\\times C_{48}', 'central': True, 'central_factor': False, 'centralizer_order': 384, 'characteristic': True, 'core_order': 8, 'counter': 66, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.5396.48.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '48.44', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 44, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 56432159
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '384.5396', 'ambient_counter': 5396, 'ambient_order': 384, 'ambient_tex': 'C_2\\times C_4\\times C_{48}', 'central': True, 'central_factor': False, 'centralizer_order': 384, 'characteristic': False, 'core_order': 8, 'counter': 67, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '384.5396.48.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '48.23', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 23, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{24}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '8.1', 'subgroup_hash': 1, 'subgroup_order': 8, 'subgroup_tex': 'C_8', 'supersolvable': True, 'sylow': 0}
-
id: 56432160
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '384.5396', 'ambient_counter': 5396, 'ambient_order': 384, 'ambient_tex': 'C_2\\times C_4\\times C_{48}', 'central': True, 'central_factor': False, 'centralizer_order': 384, 'characteristic': False, 'core_order': 8, 'counter': 68, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '384.5396.48.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '48.20', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 20, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '8.1', 'subgroup_hash': 1, 'subgroup_order': 8, 'subgroup_tex': 'C_8', 'supersolvable': True, 'sylow': 0}
-
id: 56432161
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '384.5396', 'ambient_counter': 5396, 'ambient_order': 384, 'ambient_tex': 'C_2\\times C_4\\times C_{48}', 'central': True, 'central_factor': False, 'centralizer_order': 384, 'characteristic': False, 'core_order': 8, 'counter': 69, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '384.5396.48.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '48.44', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 44, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '8.1', 'subgroup_hash': 1, 'subgroup_order': 8, 'subgroup_tex': 'C_8', 'supersolvable': True, 'sylow': 0}
-
id: 56432163
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '384.5396', 'ambient_counter': 5396, 'ambient_order': 384, 'ambient_tex': 'C_2\\times C_4\\times C_{48}', 'central': True, 'central_factor': False, 'centralizer_order': 384, 'characteristic': False, 'core_order': 6, 'counter': 70, 'cyclic': True, 'direct': True, 'hall': 0, 'label': '384.5396.64.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '64.26', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 26, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times C_{16}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, '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: 56432164
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '384.5396', 'ambient_counter': 5396, 'ambient_order': 384, 'ambient_tex': 'C_2\\times C_4\\times C_{48}', 'central': True, 'central_factor': False, 'centralizer_order': 384, 'characteristic': False, 'core_order': 6, 'counter': 71, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '384.5396.64.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '64.183', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 183, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_{16}', '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: 56432165
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '384.5396', 'ambient_counter': 5396, 'ambient_order': 384, 'ambient_tex': 'C_2\\times C_4\\times C_{48}', 'central': True, 'central_factor': False, 'centralizer_order': 384, 'characteristic': True, 'core_order': 6, 'counter': 72, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '384.5396.64.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '64.83', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 83, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4\\times C_8', 'simple': False, 'solvable': True, 'special_labels': ['C6'], '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: 56432166
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '384.5396', 'ambient_counter': 5396, 'ambient_order': 384, 'ambient_tex': 'C_2\\times C_4\\times C_{48}', 'central': True, 'central_factor': False, 'centralizer_order': 384, 'characteristic': False, 'core_order': 4, 'counter': 73, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.5396.96.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '96.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '96.59', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 59, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 96, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{48}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
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id: 56432167
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '384.5396', 'ambient_counter': 5396, 'ambient_order': 384, 'ambient_tex': 'C_2\\times C_4\\times C_{48}', 'central': True, 'central_factor': False, 'centralizer_order': 384, 'characteristic': False, 'core_order': 4, 'counter': 74, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.5396.96.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '96.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '96.46', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 46, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 96, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times C_{24}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
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id: 56432168
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '384.5396', 'ambient_counter': 5396, 'ambient_order': 384, 'ambient_tex': 'C_2\\times C_4\\times C_{48}', 'central': True, 'central_factor': False, 'centralizer_order': 384, 'characteristic': False, 'core_order': 4, 'counter': 75, 'cyclic': True, 'direct': True, 'hall': 0, 'label': '384.5396.96.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '96.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '96.59', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 59, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 96, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{48}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
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id: 56432169
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '384.5396', 'ambient_counter': 5396, 'ambient_order': 384, 'ambient_tex': 'C_2\\times C_4\\times C_{48}', 'central': True, 'central_factor': False, 'centralizer_order': 384, 'characteristic': True, 'core_order': 4, 'counter': 76, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.5396.96.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '96.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '96.176', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 176, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 96, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_{24}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
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id: 56432170
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '384.5396', 'ambient_counter': 5396, 'ambient_order': 384, 'ambient_tex': 'C_2\\times C_4\\times C_{48}', 'central': True, 'central_factor': False, 'centralizer_order': 384, 'characteristic': False, 'core_order': 4, 'counter': 77, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '384.5396.96.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '96.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '96.46', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 46, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 96, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times C_{24}', 'simple': False, 'solvable': True, 'special_labels': [], '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: 56432171
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '384.5396', 'ambient_counter': 5396, 'ambient_order': 384, 'ambient_tex': 'C_2\\times C_4\\times C_{48}', 'central': True, 'central_factor': False, 'centralizer_order': 384, 'characteristic': True, 'core_order': 4, 'counter': 78, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '384.5396.96.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '96.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '96.176', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 176, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 96, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_{24}', 'simple': False, 'solvable': True, 'special_labels': [], '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: 56432172
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '384.5396', 'ambient_counter': 5396, 'ambient_order': 384, 'ambient_tex': 'C_2\\times C_4\\times C_{48}', 'central': True, 'central_factor': False, 'centralizer_order': 384, 'characteristic': True, 'core_order': 4, 'counter': 79, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '384.5396.96.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '96.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '96.161', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 161, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 96, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4\\times C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], '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: 56432174
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '384.5396', 'ambient_counter': 5396, 'ambient_order': 384, 'ambient_tex': 'C_2\\times C_4\\times C_{48}', 'central': True, 'central_factor': False, 'centralizer_order': 384, 'characteristic': True, 'core_order': 3, 'counter': 80, 'cyclic': True, 'direct': True, 'hall': 3, 'label': '384.5396.128.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '128.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '128.837', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 837, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4\\times C_{16}', 'simple': True, 'solvable': True, 'special_labels': ['C7'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '3.1', 'subgroup_hash': 1, 'subgroup_order': 3, 'subgroup_tex': 'C_3', 'supersolvable': True, 'sylow': 3}
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id: 56432175
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '384.5396', 'ambient_counter': 5396, 'ambient_order': 384, 'ambient_tex': 'C_2\\times C_4\\times C_{48}', 'central': True, 'central_factor': False, 'centralizer_order': 384, 'characteristic': False, 'core_order': 2, 'counter': 81, 'cyclic': True, 'direct': True, 'hall': 0, 'label': '384.5396.192.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '192.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '192.151', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 151, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 192, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times C_{48}', 'simple': True, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
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id: 56432176
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '384.5396', 'ambient_counter': 5396, 'ambient_order': 384, 'ambient_tex': 'C_2\\times C_4\\times C_{48}', 'central': True, 'central_factor': False, 'centralizer_order': 384, 'characteristic': False, 'core_order': 2, 'counter': 82, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '384.5396.192.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '192.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '192.935', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 935, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 192, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_{48}', 'simple': True, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
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id: 56432177
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '384.5396', 'ambient_counter': 5396, 'ambient_order': 384, 'ambient_tex': 'C_2\\times C_4\\times C_{48}', 'central': True, 'central_factor': False, 'centralizer_order': 384, 'characteristic': True, 'core_order': 2, 'counter': 83, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '384.5396.192.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '192.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '192.835', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 835, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 192, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4\\times C_{24}', 'simple': True, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
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id: 56432178
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '384.5396', 'ambient_counter': 5396, 'ambient_order': 384, 'ambient_tex': 'C_2\\times C_4\\times C_{48}', 'central': True, 'central_factor': False, 'centralizer_order': 384, 'characteristic': True, 'core_order': 1, 'counter': 84, 'cyclic': True, 'direct': True, 'hall': 1, 'label': '384.5396.384.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '384.a1', 'outer_equivalence': True, 'perfect': True, 'proper': False, 'quotient': '384.5396', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5396, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 384, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4\\times C_{48}', 'simple': False, 'solvable': True, 'special_labels': ['D', 'PC', 'U1', 'L1', 'D1', 'C8'], 'split': True, 'standard_generators': False, 'stem': True, 'subgroup': '1.1', 'subgroup_hash': 1, 'subgroup_order': 1, 'subgroup_tex': 'C_1', 'supersolvable': True, 'sylow': 1}
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gps_subgroup_data • Show schema
Hide schema
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id: 56432096
{'ambient': '384.5396', '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': '1.a1', 'complements': ['384.a1'], 'conjugacy_class_count': 1, 'contained_in': [], 'contains': ['2.a1', '2.b1', '2.c1', '3.a1'], 'core': '1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7792, 7792, 7314, 7314], 'generators': [1, 4, 48, 2, 128, 192, 96, 24], 'label': '384.5396.1.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '1.a1', 'normal_contained_in': [], 'normal_contains': ['2.a1', '2.b1', '2.c1', '3.a1'], 'normalizer': '1.a1', 'old_label': '1.a1', 'projective_image': '1.1', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 56432097
{'ambient': '384.5396', 'aut_centralizer_order': 32, 'aut_label': '4.e1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '128.2163', 'aut_weyl_index': 64, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['2.a1'], 'contains': ['8.f1', '8.g1', '8.h1', '12.e1'], 'core': '4.e1', 'coset_action_label': None, 'count': 2, 'diagramx': [5937, 5937, 5204, 5204], 'generators': [49, 192, 96, 2, 128, 4], 'label': '384.5396.4.e1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '4.e1', 'normal_contained_in': ['2.a1'], 'normal_contains': ['8.f1', '8.g1', '8.h1', '12.e1'], 'normalizer': '1.a1', 'old_label': '4.e1', 'projective_image': '4.1', 'quotient_action_image': '1.1', 'quotient_action_kernel': '4.1', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '4.e1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 56432098
{'ambient': '384.5396', 'aut_centralizer_order': 32, 'aut_label': '4.f1', 'aut_quo_index': 3, 'aut_stab_index': 2, 'aut_weyl_group': '128.2163', 'aut_weyl_index': 64, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['2.a1', '2.c1'], 'contains': ['8.f1', '8.g1', '8.i1', '12.f1'], 'core': '4.f1', 'coset_action_label': None, 'count': 2, 'diagramx': [6696, 6696, 5758, 5758], 'generators': [3, 192, 96, 48, 128, 4], 'label': '384.5396.4.f1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.f1', 'normal_contained_in': ['2.a1', '2.c1'], 'normal_contains': ['8.f1', '8.g1', '8.i1', '12.f1'], 'normalizer': '1.a1', 'old_label': '4.f1', 'projective_image': '4.2', 'quotient_action_image': '1.1', 'quotient_action_kernel': '4.2', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '4.f1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 56432099
{'ambient': '384.5396', 'aut_centralizer_order': 32, 'aut_label': '4.g1', 'aut_quo_index': 3, 'aut_stab_index': 4, 'aut_weyl_group': '64.263', 'aut_weyl_index': 128, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 4, 'contained_in': ['2.b1', '2.c1'], 'contains': ['8.i1', '8.j1', '12.g1'], 'core': '4.g1', 'coset_action_label': None, 'count': 4, 'diagramx': [8455, 8455, 8211, 8211], 'generators': [25, 192, 96, 4, 128, 48], 'label': '384.5396.4.g1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.g1', 'normal_contained_in': ['2.b1', '2.c1'], 'normal_contains': ['8.i1', '8.j1', '12.g1'], 'normalizer': '1.a1', 'old_label': '4.g1', 'projective_image': '4.2', 'quotient_action_image': '1.1', 'quotient_action_kernel': '4.2', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '4.g1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 56432100
{'ambient': '384.5396', 'aut_centralizer_order': 16, 'aut_label': '6.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '512.6344809', 'aut_weyl_index': 16, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1', '3.a1'], 'contains': ['12.b1', '12.c1', '12.d1', '12.e1', '12.f1'], 'core': '6.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6646, 6646, 6393, 6393], 'generators': [1, 2, 48], 'label': '384.5396.6.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '6.a1', 'normal_contained_in': ['2.a1', '3.a1'], 'normal_contains': ['12.b1', '12.c1', '12.d1', '12.e1', '12.f1'], 'normalizer': '1.a1', 'old_label': '6.a1', 'projective_image': '6.2', 'quotient_action_image': '1.1', 'quotient_action_kernel': '6.2', 'quotient_action_kernel_order': 6, 'quotient_fusion': None, 'short_label': '6.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 56432101
{'ambient': '384.5396', 'aut_centralizer_order': 16, 'aut_label': '6.b1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '256.53382', 'aut_weyl_index': 32, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['2.b1', '3.a1'], 'contains': ['12.a1', '12.d1', '12.g1'], 'core': '6.b1', 'coset_action_label': None, 'count': 2, 'diagramx': [9399, 9399, 8802, 8802], 'generators': [1, 266, 48], 'label': '384.5396.6.b1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '6.b1', 'normal_contained_in': ['2.b1', '3.a1'], 'normal_contains': ['12.a1', '12.d1', '12.g1'], 'normalizer': '1.a1', 'old_label': '6.b1', 'projective_image': '6.2', 'quotient_action_image': '1.1', 'quotient_action_kernel': '6.2', 'quotient_action_kernel_order': 6, 'quotient_fusion': None, 'short_label': '6.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 56432102
{'ambient': '384.5396', 'aut_centralizer_order': 8, 'aut_label': '6.c1', 'aut_quo_index': 1, 'aut_stab_index': 4, 'aut_weyl_group': '256.16401', 'aut_weyl_index': 32, 'centralizer': '1.a1', 'complements': ['64.a1'], 'conjugacy_class_count': 4, 'contained_in': ['2.c1', '3.a1'], 'contains': ['12.f1', '12.g1'], 'core': '6.c1', 'coset_action_label': None, 'count': 4, 'diagramx': [8250, 8250, 7657, 7657], 'generators': [265, 2], 'label': '384.5396.6.c1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '6.c1', 'normal_contained_in': ['2.c1', '3.a1'], 'normal_contains': ['12.f1', '12.g1'], 'normalizer': '1.a1', 'old_label': '6.c1', 'projective_image': '6.2', 'quotient_action_image': '1.1', 'quotient_action_kernel': '6.2', 'quotient_action_kernel_order': 6, 'quotient_fusion': None, 'short_label': '6.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 56432103
{'ambient': '384.5396', 'aut_centralizer_order': 64, 'aut_label': '8.a1', 'aut_quo_index': 1, 'aut_stab_index': 4, 'aut_weyl_group': '32.46', 'aut_weyl_index': 256, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 4, 'contained_in': ['4.c1'], 'contains': ['16.b1', '16.h1', '24.a1'], 'core': '8.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [4736, 4736, 4130, 4130], 'generators': [1, 192, 50, 128, 100], 'label': '384.5396.8.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.a1', 'normal_contained_in': ['4.c1'], 'normal_contains': ['16.b1', '16.h1', '24.a1'], 'normalizer': '1.a1', 'old_label': '8.a1', 'projective_image': '8.1', 'quotient_action_image': '1.1', 'quotient_action_kernel': '8.1', 'quotient_action_kernel_order': 8, 'quotient_fusion': None, 'short_label': '8.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 56432104
{'ambient': '384.5396', 'aut_centralizer_order': 128, 'aut_label': '8.b1', 'aut_quo_index': 2, 'aut_stab_index': 4, 'aut_weyl_group': '16.14', 'aut_weyl_index': 512, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 4, 'contained_in': ['4.a1', '4.d1'], 'contains': ['16.c1', '16.i1', '16.j1', '24.b1'], 'core': '8.b1', 'coset_action_label': None, 'count': 4, 'diagramx': [8116, 8116, 8343, 8343], 'generators': [1, 192, 52, 128, 96], 'label': '384.5396.8.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.b1', 'normal_contained_in': ['4.a1', '4.d1'], 'normal_contains': ['16.c1', '16.i1', '16.j1', '24.b1'], 'normalizer': '1.a1', 'old_label': '8.b1', 'projective_image': '8.2', 'quotient_action_image': '1.1', 'quotient_action_kernel': '8.2', 'quotient_action_kernel_order': 8, 'quotient_fusion': None, 'short_label': '8.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 56432105
{'ambient': '384.5396', 'aut_centralizer_order': 64, 'aut_label': '8.c1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '64.202', 'aut_weyl_index': 128, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['4.b1'], 'contains': ['16.a1', '16.d1', '16.e1', '24.c1'], 'core': '8.c1', 'coset_action_label': None, 'count': 2, 'diagramx': [978, 978, 1269, 1269], 'generators': [1, 4, 2, 192, 128], 'label': '384.5396.8.c1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.c1', 'normal_contained_in': ['4.b1'], 'normal_contains': ['16.a1', '16.d1', '16.e1', '24.c1'], 'normalizer': '1.a1', 'old_label': '8.c1', 'projective_image': '8.1', 'quotient_action_image': '1.1', 'quotient_action_kernel': '8.1', 'quotient_action_kernel_order': 8, 'quotient_fusion': None, 'short_label': '8.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 56432106
{'ambient': '384.5396', 'aut_centralizer_order': 256, 'aut_label': '8.d1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '32.46', 'aut_weyl_index': 256, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.b1', '4.c1', '4.d1'], 'contains': ['16.b1', '16.c1', '16.d1', '16.f1', '16.g1', '24.d1'], 'core': '8.d1', 'coset_action_label': None, 'count': 1, 'diagramx': [4122, 4122, 3539, 3539], 'generators': [1, 192, 4, 96, 128], 'label': '384.5396.8.d1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.d1', 'normal_contained_in': ['4.b1', '4.c1', '4.d1'], 'normal_contains': ['16.b1', '16.c1', '16.d1', '16.f1', '16.g1', '24.d1'], 'normalizer': '1.a1', 'old_label': '8.d1', 'projective_image': '8.2', 'quotient_action_image': '1.1', 'quotient_action_kernel': '8.2', 'quotient_action_kernel_order': 8, 'quotient_fusion': None, 'short_label': '8.d1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 56432107
{'ambient': '384.5396', 'aut_centralizer_order': 8, 'aut_label': '2.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '1024.dkf', 'aut_weyl_index': 8, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['1.a1'], 'contains': ['4.b1', '4.c1', '4.d1', '4.e1', '4.f1', '6.a1'], 'core': '2.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6340, 6340, 5758, 5758], 'generators': [1, 96, 4, 2, 192, 48, 128], 'label': '384.5396.2.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.a1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['4.b1', '4.c1', '4.d1', '4.e1', '4.f1', '6.a1'], 'normalizer': '1.a1', 'old_label': '2.a1', 'projective_image': '2.1', 'quotient_action_image': '1.1', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '2.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 56432108
{'ambient': '384.5396', 'aut_centralizer_order': 64, 'aut_label': '8.e1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '64.202', 'aut_weyl_index': 128, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['4.b1'], 'contains': ['16.e1', '16.f1', '24.e1'], 'core': '8.e1', 'coset_action_label': None, 'count': 2, 'diagramx': [2180, 2180, 1860, 1860], 'generators': [97, 192, 2, 128, 4], 'label': '384.5396.8.e1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.e1', 'normal_contained_in': ['4.b1'], 'normal_contains': ['16.e1', '16.f1', '24.e1'], 'normalizer': '1.a1', 'old_label': '8.e1', 'projective_image': '8.1', 'quotient_action_image': '1.1', 'quotient_action_kernel': '8.1', 'quotient_action_kernel_order': 8, 'quotient_fusion': None, 'short_label': '8.e1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 56432109
{'ambient': '384.5396', 'aut_centralizer_order': 128, 'aut_label': '8.f1', 'aut_quo_index': 2, 'aut_stab_index': 2, 'aut_weyl_group': '32.46', 'aut_weyl_index': 256, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['4.b1', '4.e1', '4.f1'], 'contains': ['16.e1', '16.g1', '24.f1'], 'core': '8.f1', 'coset_action_label': None, 'count': 2, 'diagramx': [3375, 3375, 2414, 2414], 'generators': [3, 192, 96, 128, 4], 'label': '384.5396.8.f1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.f1', 'normal_contained_in': ['4.b1', '4.e1', '4.f1'], 'normal_contains': ['16.e1', '16.g1', '24.f1'], 'normalizer': '1.a1', 'old_label': '8.f1', 'projective_image': '8.2', 'quotient_action_image': '1.1', 'quotient_action_kernel': '8.2', 'quotient_action_kernel_order': 8, 'quotient_fusion': None, 'short_label': '8.f1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 56432110
{'ambient': '384.5396', 'aut_centralizer_order': 128, 'aut_label': '8.g1', 'aut_quo_index': 2, 'aut_stab_index': 2, 'aut_weyl_group': '32.46', 'aut_weyl_index': 256, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['4.c1', '4.e1', '4.f1'], 'contains': ['16.g1', '16.h1', '24.g1'], 'core': '8.g1', 'coset_action_label': None, 'count': 2, 'diagramx': [5310, 5310, 4684, 4684], 'generators': [51, 192, 96, 128, 100], 'label': '384.5396.8.g1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.g1', 'normal_contained_in': ['4.c1', '4.e1', '4.f1'], 'normal_contains': ['16.g1', '16.h1', '24.g1'], 'normalizer': '1.a1', 'old_label': '8.g1', 'projective_image': '8.2', 'quotient_action_image': '1.1', 'quotient_action_kernel': '8.2', 'quotient_action_kernel_order': 8, 'quotient_fusion': None, 'short_label': '8.g1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 56432111
{'ambient': '384.5396', 'aut_centralizer_order': 256, 'aut_label': '8.h1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '32.46', 'aut_weyl_index': 256, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.d1', '4.e1'], 'contains': ['16.g1', '16.i1', '24.h1'], 'core': '8.h1', 'coset_action_label': None, 'count': 1, 'diagramx': [6156, 6156, 6237, 6237], 'generators': [49, 192, 4, 128, 96], 'label': '384.5396.8.h1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.h1', 'normal_contained_in': ['4.d1', '4.e1'], 'normal_contains': ['16.g1', '16.i1', '24.h1'], 'normalizer': '1.a1', 'old_label': '8.h1', 'projective_image': '8.2', 'quotient_action_image': '1.1', 'quotient_action_kernel': '8.2', 'quotient_action_kernel_order': 8, 'quotient_fusion': None, 'short_label': '8.h1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 56432112
{'ambient': '384.5396', 'aut_centralizer_order': 256, 'aut_label': '8.i1', 'aut_quo_index': 21, 'aut_stab_index': 1, 'aut_weyl_group': '32.46', 'aut_weyl_index': 256, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.d1', '4.f1', '4.g1'], 'contains': ['16.g1', '16.j1', '24.i1'], 'core': '8.i1', 'coset_action_label': None, 'count': 1, 'diagramx': [7404, 7404, 7256, 7256], 'generators': [4, 192, 48, 128, 96], 'label': '384.5396.8.i1', 'mobius_quo': 0, 'mobius_sub': -8, 'normal_closure': '8.i1', 'normal_contained_in': ['4.d1', '4.f1', '4.g1'], 'normal_contains': ['16.g1', '16.j1', '24.i1'], 'normalizer': '1.a1', 'old_label': '8.i1', 'projective_image': '8.5', 'quotient_action_image': '1.1', 'quotient_action_kernel': '8.5', 'quotient_action_kernel_order': 8, 'quotient_fusion': None, 'short_label': '8.i1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 56432113
{'ambient': '384.5396', 'aut_centralizer_order': 64, 'aut_label': '8.j1', 'aut_quo_index': 1, 'aut_stab_index': 8, 'aut_weyl_group': '16.10', 'aut_weyl_index': 512, 'centralizer': '1.a1', 'complements': ['48.a1'], 'conjugacy_class_count': 8, 'contained_in': ['4.a1', '4.g1'], 'contains': ['16.j1', '24.j1'], 'core': '8.j1', 'coset_action_label': None, 'count': 8, 'diagramx': [8986, 8986, 9326, 9326], 'generators': [25, 192, 128, 48, 96], 'label': '384.5396.8.j1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.j1', 'normal_contained_in': ['4.a1', '4.g1'], 'normal_contains': ['16.j1', '24.j1'], 'normalizer': '1.a1', 'old_label': '8.j1', 'projective_image': '8.2', 'quotient_action_image': '1.1', 'quotient_action_kernel': '8.2', 'quotient_action_kernel_order': 8, 'quotient_fusion': None, 'short_label': '8.j1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 56432114
{'ambient': '384.5396', 'aut_centralizer_order': 32, 'aut_label': '12.a1', 'aut_quo_index': 1, 'aut_stab_index': 8, 'aut_weyl_group': '32.48', 'aut_weyl_index': 256, 'centralizer': '1.a1', 'complements': ['32.c1'], 'conjugacy_class_count': 8, 'contained_in': ['4.a1', '6.b1'], 'contains': ['24.b1', '24.j1'], 'core': '12.a1', 'coset_action_label': None, 'count': 8, 'diagramx': [9769, 9769, 9754, 9754], 'generators': [1, 266], 'label': '384.5396.12.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '12.a1', 'normal_contained_in': ['4.a1', '6.b1'], 'normal_contains': ['24.b1', '24.j1'], 'normalizer': '1.a1', 'old_label': '12.a1', 'projective_image': '12.2', 'quotient_action_image': '1.1', 'quotient_action_kernel': '12.2', 'quotient_action_kernel_order': 12, 'quotient_fusion': None, 'short_label': '12.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 56432115
{'ambient': '384.5396', 'aut_centralizer_order': 64, 'aut_label': '12.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '128.1755', 'aut_weyl_index': 64, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.b1', '6.a1'], 'contains': ['24.c1', '24.d1', '24.e1', '24.f1'], 'core': '12.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [3023, 3023, 2958, 2958], 'generators': [1, 2, 96], 'label': '384.5396.12.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '12.b1', 'normal_contained_in': ['4.b1', '6.a1'], 'normal_contains': ['24.c1', '24.d1', '24.e1', '24.f1'], 'normalizer': '1.a1', 'old_label': '12.b1', 'projective_image': '12.2', 'quotient_action_image': '1.1', 'quotient_action_kernel': '12.2', 'quotient_action_kernel_order': 12, 'quotient_fusion': None, 'short_label': '12.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 56432116
{'ambient': '384.5396', 'aut_centralizer_order': 64, 'aut_label': '12.c1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '128.1755', 'aut_weyl_index': 64, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.c1', '6.a1'], 'contains': ['24.a1', '24.d1', '24.g1'], 'core': '12.c1', 'coset_action_label': None, 'count': 1, 'diagramx': [5903, 5903, 5228, 5228], 'generators': [1, 50, 96], 'label': '384.5396.12.c1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '12.c1', 'normal_contained_in': ['4.c1', '6.a1'], 'normal_contains': ['24.a1', '24.d1', '24.g1'], 'normalizer': '1.a1', 'old_label': '12.c1', 'projective_image': '12.2', 'quotient_action_image': '1.1', 'quotient_action_kernel': '12.2', 'quotient_action_kernel_order': 12, 'quotient_fusion': None, 'short_label': '12.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 56432117
{'ambient': '384.5396', 'aut_centralizer_order': 128, 'aut_label': '12.d1', 'aut_quo_index': 3, 'aut_stab_index': 1, 'aut_weyl_group': '64.202', 'aut_weyl_index': 128, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.d1', '6.a1', '6.b1'], 'contains': ['24.b1', '24.d1', '24.h1', '24.i1'], 'core': '12.d1', 'coset_action_label': None, 'count': 1, 'diagramx': [8356, 8356, 7800, 7800], 'generators': [1, 4, 48], 'label': '384.5396.12.d1', 'mobius_quo': 0, 'mobius_sub': -2, 'normal_closure': '12.d1', 'normal_contained_in': ['4.d1', '6.a1', '6.b1'], 'normal_contains': ['24.b1', '24.d1', '24.h1', '24.i1'], 'normalizer': '1.a1', 'old_label': '12.d1', 'projective_image': '12.5', 'quotient_action_image': '1.1', 'quotient_action_kernel': '12.5', 'quotient_action_kernel_order': 12, 'quotient_fusion': None, 'short_label': '12.d1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 56432118
{'ambient': '384.5396', 'aut_centralizer_order': 8, 'aut_label': '2.b1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '512.10482074', 'aut_weyl_index': 16, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['1.a1'], 'contains': ['4.a1', '4.d1', '4.g1', '6.b1'], 'core': '2.b1', 'coset_action_label': None, 'count': 2, 'diagramx': [8581, 8581, 8374, 8374], 'generators': [1, 96, 52, 30, 192, 48, 128], 'label': '384.5396.2.b1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.b1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['4.a1', '4.d1', '4.g1', '6.b1'], 'normalizer': '1.a1', 'old_label': '2.b1', 'projective_image': '2.1', 'quotient_action_image': '1.1', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '2.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 56432119
{'ambient': '384.5396', 'aut_centralizer_order': 64, 'aut_label': '12.e1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '64.202', 'aut_weyl_index': 128, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['4.e1', '6.a1'], 'contains': ['24.f1', '24.g1', '24.h1'], 'core': '12.e1', 'coset_action_label': None, 'count': 2, 'diagramx': [6555, 6555, 5727, 5727], 'generators': [49, 2], 'label': '384.5396.12.e1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '12.e1', 'normal_contained_in': ['4.e1', '6.a1'], 'normal_contains': ['24.f1', '24.g1', '24.h1'], 'normalizer': '1.a1', 'old_label': '12.e1', 'projective_image': '12.2', 'quotient_action_image': '1.1', 'quotient_action_kernel': '12.2', 'quotient_action_kernel_order': 12, 'quotient_fusion': None, 'short_label': '12.e1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 56432120
{'ambient': '384.5396', 'aut_centralizer_order': 64, 'aut_label': '12.f1', 'aut_quo_index': 3, 'aut_stab_index': 2, 'aut_weyl_group': '64.202', 'aut_weyl_index': 128, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['4.f1', '6.a1', '6.c1'], 'contains': ['24.f1', '24.g1', '24.i1'], 'core': '12.f1', 'coset_action_label': None, 'count': 2, 'diagramx': [7168, 7168, 6746, 6746], 'generators': [3, 48], 'label': '384.5396.12.f1', 'mobius_quo': 0, 'mobius_sub': -2, 'normal_closure': '12.f1', 'normal_contained_in': ['4.f1', '6.a1', '6.c1'], 'normal_contains': ['24.f1', '24.g1', '24.i1'], 'normalizer': '1.a1', 'old_label': '12.f1', 'projective_image': '12.5', 'quotient_action_image': '1.1', 'quotient_action_kernel': '12.5', 'quotient_action_kernel_order': 12, 'quotient_fusion': None, 'short_label': '12.f1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 56432121
{'ambient': '384.5396', 'aut_centralizer_order': 64, 'aut_label': '12.g1', 'aut_quo_index': 3, 'aut_stab_index': 4, 'aut_weyl_group': '32.48', 'aut_weyl_index': 256, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 4, 'contained_in': ['4.g1', '6.b1', '6.c1'], 'contains': ['24.i1', '24.j1'], 'core': '12.g1', 'coset_action_label': None, 'count': 4, 'diagramx': [9057, 9057, 8897, 8897], 'generators': [265, 4], 'label': '384.5396.12.g1', 'mobius_quo': 0, 'mobius_sub': -2, 'normal_closure': '12.g1', 'normal_contained_in': ['4.g1', '6.b1', '6.c1'], 'normal_contains': ['24.i1', '24.j1'], 'normalizer': '1.a1', 'old_label': '12.g1', 'projective_image': '12.5', 'quotient_action_image': '1.1', 'quotient_action_kernel': '12.5', 'quotient_action_kernel_order': 12, 'quotient_fusion': None, 'short_label': '12.g1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 56432122
{'ambient': '384.5396', 'aut_centralizer_order': 64, 'aut_label': '16.a1', 'aut_quo_index': 1, 'aut_stab_index': 8, 'aut_weyl_group': '16.11', 'aut_weyl_index': 512, 'centralizer': '1.a1', 'complements': ['24.j1'], 'conjugacy_class_count': 8, 'contained_in': ['8.c1'], 'contains': ['32.a1', '32.c1', '48.a1'], 'core': '16.a1', 'coset_action_label': None, 'count': 8, 'diagramx': [256, 256, 246, 246], 'generators': [1, 2, 128, 4], 'label': '384.5396.16.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '16.a1', 'normal_contained_in': ['8.c1'], 'normal_contains': ['32.a1', '32.c1', '48.a1'], 'normalizer': '1.a1', 'old_label': '16.a1', 'projective_image': '16.1', 'quotient_action_image': '1.1', 'quotient_action_kernel': '16.1', 'quotient_action_kernel_order': 16, 'quotient_fusion': None, 'short_label': '16.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 56432123
{'ambient': '384.5396', 'aut_centralizer_order': 512, 'aut_label': '16.b1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '8.5', 'aut_weyl_index': 1024, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['8.a1', '8.d1'], 'contains': ['32.b1', '32.e1', '32.f1', '48.b1'], 'core': '16.b1', 'coset_action_label': None, 'count': 2, 'diagramx': [3090, 3090, 3539, 3539], 'generators': [1, 100, 128, 192], 'label': '384.5396.16.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '16.b1', 'normal_contained_in': ['8.a1', '8.d1'], 'normal_contains': ['32.b1', '32.e1', '32.f1', '48.b1'], 'normalizer': '1.a1', 'old_label': '16.b1', 'projective_image': '16.5', 'quotient_action_image': '1.1', 'quotient_action_kernel': '16.5', 'quotient_action_kernel_order': 16, 'quotient_fusion': None, 'short_label': '16.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 56432124
{'ambient': '384.5396', 'aut_centralizer_order': 512, 'aut_label': '16.c1', 'aut_quo_index': 6, 'aut_stab_index': 2, 'aut_weyl_group': '8.5', 'aut_weyl_index': 1024, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['8.b1', '8.d1'], 'contains': ['32.b1', '32.e1', '32.g1', '48.c1'], 'core': '16.c1', 'coset_action_label': None, 'count': 2, 'diagramx': [4070, 4070, 5180, 5180], 'generators': [1, 96, 128, 192], 'label': '384.5396.16.c1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '16.c1', 'normal_contained_in': ['8.b1', '8.d1'], 'normal_contains': ['32.b1', '32.e1', '32.g1', '48.c1'], 'normalizer': '1.a1', 'old_label': '16.c1', 'projective_image': '16.2', 'quotient_action_image': '1.1', 'quotient_action_kernel': '16.2', 'quotient_action_kernel_order': 16, 'quotient_fusion': None, 'short_label': '16.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 56432125
{'ambient': '384.5396', 'aut_centralizer_order': 512, 'aut_label': '16.d1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '16.11', 'aut_weyl_index': 512, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.c1', '8.d1'], 'contains': ['32.a1', '32.b1', '32.d1', '48.d1'], 'core': '16.d1', 'coset_action_label': None, 'count': 1, 'diagramx': [1679, 1679, 1877, 1877], 'generators': [1, 4, 192, 128], 'label': '384.5396.16.d1', 'mobius_quo': 8, 'mobius_sub': 0, 'normal_closure': '16.d1', 'normal_contained_in': ['8.c1', '8.d1'], 'normal_contains': ['32.a1', '32.b1', '32.d1', '48.d1'], 'normalizer': '1.a1', 'old_label': '16.d1', 'projective_image': '16.5', 'quotient_action_image': '1.1', 'quotient_action_kernel': '16.5', 'quotient_action_kernel_order': 16, 'quotient_fusion': None, 'short_label': '16.d1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 56432126
{'ambient': '384.5396', 'aut_centralizer_order': 256, 'aut_label': '16.e1', 'aut_quo_index': 2, 'aut_stab_index': 4, 'aut_weyl_group': '8.5', 'aut_weyl_index': 1024, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 4, 'contained_in': ['8.c1', '8.e1', '8.f1'], 'contains': ['32.c1', '32.d1', '48.e1'], 'core': '16.e1', 'coset_action_label': None, 'count': 4, 'diagramx': [978, 978, 800, 800], 'generators': [3, 192, 128, 4], 'label': '384.5396.16.e1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '16.e1', 'normal_contained_in': ['8.c1', '8.e1', '8.f1'], 'normal_contains': ['32.c1', '32.d1', '48.e1'], 'normalizer': '1.a1', 'old_label': '16.e1', 'projective_image': '16.5', 'quotient_action_image': '1.1', 'quotient_action_kernel': '16.5', 'quotient_action_kernel_order': 16, 'quotient_fusion': None, 'short_label': '16.e1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 56432127
{'ambient': '384.5396', 'aut_centralizer_order': 512, 'aut_label': '16.f1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '16.11', 'aut_weyl_index': 512, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.d1', '8.e1'], 'contains': ['32.d1', '32.e1', '48.f1'], 'core': '16.f1', 'coset_action_label': None, 'count': 1, 'diagramx': [2515, 2515, 2703, 2703], 'generators': [97, 4, 128, 192], 'label': '384.5396.16.f1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '16.f1', 'normal_contained_in': ['8.d1', '8.e1'], 'normal_contains': ['32.d1', '32.e1', '48.f1'], 'normalizer': '1.a1', 'old_label': '16.f1', 'projective_image': '16.5', 'quotient_action_image': '1.1', 'quotient_action_kernel': '16.5', 'quotient_action_kernel_order': 16, 'quotient_fusion': None, 'short_label': '16.f1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 56432128
{'ambient': '384.5396', 'aut_centralizer_order': 1024, 'aut_label': '16.g1', 'aut_quo_index': 12, 'aut_stab_index': 1, 'aut_weyl_group': '8.5', 'aut_weyl_index': 1024, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.d1', '8.f1', '8.g1', '8.h1', '8.i1'], 'contains': ['32.d1', '32.f1', '32.g1', '48.g1'], 'core': '16.g1', 'coset_action_label': None, 'count': 1, 'diagramx': [4782, 4782, 4093, 4093], 'generators': [4, 96, 128, 192], 'label': '384.5396.16.g1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '16.g1', 'normal_contained_in': ['8.d1', '8.f1', '8.g1', '8.h1', '8.i1'], 'normal_contains': ['32.d1', '32.f1', '32.g1', '48.g1'], 'normalizer': '1.a1', 'old_label': '16.g1', 'projective_image': '16.10', 'quotient_action_image': '1.1', 'quotient_action_kernel': '16.10', 'quotient_action_kernel_order': 16, 'quotient_fusion': None, 'short_label': '16.g1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 56432129
{'ambient': '384.5396', 'aut_centralizer_order': 4, 'aut_label': '2.c1', 'aut_quo_index': 1, 'aut_stab_index': 4, 'aut_weyl_group': '512.6338937', 'aut_weyl_index': 16, 'centralizer': '1.a1', 'complements': ['192.a1'], 'conjugacy_class_count': 4, 'contained_in': ['1.a1'], 'contains': ['4.f1', '4.g1', '6.c1'], 'core': '2.c1', 'coset_action_label': None, 'count': 4, 'diagramx': [7968, 7968, 6974, 6974], 'generators': [25, 96, 48, 2, 192, 128, 4], 'label': '384.5396.2.c1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.c1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['4.f1', '4.g1', '6.c1'], 'normalizer': '1.a1', 'old_label': '2.c1', 'projective_image': '2.1', 'quotient_action_image': '1.1', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '2.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 56432130
{'ambient': '384.5396', 'aut_centralizer_order': 256, 'aut_label': '16.h1', 'aut_quo_index': 1, 'aut_stab_index': 4, 'aut_weyl_group': '8.5', 'aut_weyl_index': 1024, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 4, 'contained_in': ['8.a1', '8.g1'], 'contains': ['32.f1', '48.h1'], 'core': '16.h1', 'coset_action_label': None, 'count': 4, 'diagramx': [5226, 5226, 5608, 5608], 'generators': [51, 128, 100, 192], 'label': '384.5396.16.h1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '16.h1', 'normal_contained_in': ['8.a1', '8.g1'], 'normal_contains': ['32.f1', '48.h1'], 'normalizer': '1.a1', 'old_label': '16.h1', 'projective_image': '16.5', 'quotient_action_image': '1.1', 'quotient_action_kernel': '16.5', 'quotient_action_kernel_order': 16, 'quotient_fusion': None, 'short_label': '16.h1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 56432131
{'ambient': '384.5396', 'aut_centralizer_order': 512, 'aut_label': '16.i1', 'aut_quo_index': 3, 'aut_stab_index': 2, 'aut_weyl_group': '8.5', 'aut_weyl_index': 1024, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['8.b1', '8.h1'], 'contains': ['32.g1', '48.i1'], 'core': '16.i1', 'coset_action_label': None, 'count': 2, 'diagramx': [6741, 6741, 7293, 7293], 'generators': [49, 128, 96, 192], 'label': '384.5396.16.i1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '16.i1', 'normal_contained_in': ['8.b1', '8.h1'], 'normal_contains': ['32.g1', '48.i1'], 'normalizer': '1.a1', 'old_label': '16.i1', 'projective_image': '16.2', 'quotient_action_image': '1.1', 'quotient_action_kernel': '16.2', 'quotient_action_kernel_order': 16, 'quotient_fusion': None, 'short_label': '16.i1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 56432132
{'ambient': '384.5396', 'aut_centralizer_order': 512, 'aut_label': '16.j1', 'aut_quo_index': 6, 'aut_stab_index': 2, 'aut_weyl_group': '8.5', 'aut_weyl_index': 1024, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['8.b1', '8.i1', '8.j1'], 'contains': ['32.g1', '48.j1'], 'core': '16.j1', 'coset_action_label': None, 'count': 2, 'diagramx': [7644, 7644, 8055, 8055], 'generators': [52, 128, 96, 192], 'label': '384.5396.16.j1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '16.j1', 'normal_contained_in': ['8.b1', '8.i1', '8.j1'], 'normal_contains': ['32.g1', '48.j1'], 'normalizer': '1.a1', 'old_label': '16.j1', 'projective_image': '16.10', 'quotient_action_image': '1.1', 'quotient_action_kernel': '16.10', 'quotient_action_kernel_order': 16, 'quotient_fusion': None, 'short_label': '16.j1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 56432133
{'ambient': '384.5396', 'aut_centralizer_order': 128, 'aut_label': '24.a1', 'aut_quo_index': 1, 'aut_stab_index': 4, 'aut_weyl_group': '16.11', 'aut_weyl_index': 512, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 4, 'contained_in': ['8.a1', '12.c1'], 'contains': ['48.b1', '48.h1'], 'core': '24.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [5716, 5716, 5989, 5989], 'generators': [1, 50], 'label': '384.5396.24.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '24.a1', 'normal_contained_in': ['8.a1', '12.c1'], 'normal_contains': ['48.b1', '48.h1'], 'normalizer': '1.a1', 'old_label': '24.a1', 'projective_image': '24.2', 'quotient_action_image': '1.1', 'quotient_action_kernel': '24.2', 'quotient_action_kernel_order': 24, 'quotient_fusion': None, 'short_label': '24.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 56432134
{'ambient': '384.5396', 'aut_centralizer_order': 256, 'aut_label': '24.b1', 'aut_quo_index': 2, 'aut_stab_index': 4, 'aut_weyl_group': '8.5', 'aut_weyl_index': 1024, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 4, 'contained_in': ['8.b1', '12.a1', '12.d1'], 'contains': ['48.c1', '48.i1', '48.j1'], 'core': '24.b1', 'coset_action_label': None, 'count': 4, 'diagramx': [8429, 8429, 8435, 8435], 'generators': [1, 52], 'label': '384.5396.24.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '24.b1', 'normal_contained_in': ['8.b1', '12.a1', '12.d1'], 'normal_contains': ['48.c1', '48.i1', '48.j1'], 'normalizer': '1.a1', 'old_label': '24.b1', 'projective_image': '24.9', 'quotient_action_image': '1.1', 'quotient_action_kernel': '24.9', 'quotient_action_kernel_order': 24, 'quotient_fusion': None, 'short_label': '24.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 56432135
{'ambient': '384.5396', 'aut_centralizer_order': 128, 'aut_label': '24.c1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '32.27', 'aut_weyl_index': 256, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['8.c1', '12.b1'], 'contains': ['48.a1', '48.d1', '48.e1'], 'core': '24.c1', 'coset_action_label': None, 'count': 2, 'diagramx': [1070, 1070, 1344, 1344], 'generators': [1, 2, 192], 'label': '384.5396.24.c1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '24.c1', 'normal_contained_in': ['8.c1', '12.b1'], 'normal_contains': ['48.a1', '48.d1', '48.e1'], 'normalizer': '1.a1', 'old_label': '24.c1', 'projective_image': '24.2', 'quotient_action_image': '1.1', 'quotient_action_kernel': '24.2', 'quotient_action_kernel_order': 24, 'quotient_fusion': None, 'short_label': '24.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 56432136
{'ambient': '384.5396', 'aut_centralizer_order': 512, 'aut_label': '24.d1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '16.11', 'aut_weyl_index': 512, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.d1', '12.b1', '12.c1', '12.d1'], 'contains': ['48.b1', '48.c1', '48.d1', '48.f1', '48.g1'], 'core': '24.d1', 'coset_action_label': None, 'count': 1, 'diagramx': [4486, 4486, 4636, 4636], 'generators': [1, 4, 96], 'label': '384.5396.24.d1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '24.d1', 'normal_contained_in': ['8.d1', '12.b1', '12.c1', '12.d1'], 'normal_contains': ['48.b1', '48.c1', '48.d1', '48.f1', '48.g1'], 'normalizer': '1.a1', 'old_label': '24.d1', 'projective_image': '24.9', 'quotient_action_image': '1.1', 'quotient_action_kernel': '24.9', 'quotient_action_kernel_order': 24, 'quotient_fusion': None, 'short_label': '24.d1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 56432137
{'ambient': '384.5396', 'aut_centralizer_order': 128, 'aut_label': '24.e1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '32.27', 'aut_weyl_index': 256, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['8.e1', '12.b1'], 'contains': ['48.e1', '48.f1'], 'core': '24.e1', 'coset_action_label': None, 'count': 2, 'diagramx': [2163, 2163, 2285, 2285], 'generators': [97, 2], 'label': '384.5396.24.e1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '24.e1', 'normal_contained_in': ['8.e1', '12.b1'], 'normal_contains': ['48.e1', '48.f1'], 'normalizer': '1.a1', 'old_label': '24.e1', 'projective_image': '24.2', 'quotient_action_image': '1.1', 'quotient_action_kernel': '24.2', 'quotient_action_kernel_order': 24, 'quotient_fusion': None, 'short_label': '24.e1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 56432138
{'ambient': '384.5396', 'aut_centralizer_order': 256, 'aut_label': '24.f1', 'aut_quo_index': 2, 'aut_stab_index': 2, 'aut_weyl_group': '16.11', 'aut_weyl_index': 512, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['8.f1', '12.b1', '12.e1', '12.f1'], 'contains': ['48.e1', '48.g1'], 'core': '24.f1', 'coset_action_label': None, 'count': 2, 'diagramx': [4063, 4063, 3121, 3121], 'generators': [3, 96], 'label': '384.5396.24.f1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '24.f1', 'normal_contained_in': ['8.f1', '12.b1', '12.e1', '12.f1'], 'normal_contains': ['48.e1', '48.g1'], 'normalizer': '1.a1', 'old_label': '24.f1', 'projective_image': '24.9', 'quotient_action_image': '1.1', 'quotient_action_kernel': '24.9', 'quotient_action_kernel_order': 24, 'quotient_fusion': None, 'short_label': '24.f1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 56432139
{'ambient': '384.5396', 'aut_centralizer_order': 256, 'aut_label': '24.g1', 'aut_quo_index': 2, 'aut_stab_index': 2, 'aut_weyl_group': '16.11', 'aut_weyl_index': 512, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['8.g1', '12.c1', '12.e1', '12.f1'], 'contains': ['48.g1', '48.h1'], 'core': '24.g1', 'coset_action_label': None, 'count': 2, 'diagramx': [6195, 6195, 6451, 6451], 'generators': [51, 96], 'label': '384.5396.24.g1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '24.g1', 'normal_contained_in': ['8.g1', '12.c1', '12.e1', '12.f1'], 'normal_contains': ['48.g1', '48.h1'], 'normalizer': '1.a1', 'old_label': '24.g1', 'projective_image': '24.9', 'quotient_action_image': '1.1', 'quotient_action_kernel': '24.9', 'quotient_action_kernel_order': 24, 'quotient_fusion': None, 'short_label': '24.g1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 56432140
{'ambient': '384.5396', 'aut_centralizer_order': 2, 'aut_label': '3.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '4096.buj', 'aut_weyl_index': 2, 'centralizer': '1.a1', 'complements': ['128.a1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1'], 'contains': ['6.a1', '6.b1', '6.c1'], 'core': '3.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7612, 7612, 7657, 7657], 'generators': [1, 2, 264], 'label': '384.5396.3.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '3.a1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['6.a1', '6.b1', '6.c1'], 'normalizer': '1.a1', 'old_label': '3.a1', 'projective_image': '3.1', 'quotient_action_image': '1.1', 'quotient_action_kernel': '3.1', 'quotient_action_kernel_order': 3, 'quotient_fusion': None, 'short_label': '3.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 56432141
{'ambient': '384.5396', 'aut_centralizer_order': 512, 'aut_label': '24.h1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '16.11', 'aut_weyl_index': 512, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.h1', '12.d1', '12.e1'], 'contains': ['48.g1', '48.i1'], 'core': '24.h1', 'coset_action_label': None, 'count': 1, 'diagramx': [7076, 7076, 6913, 6913], 'generators': [49, 4], 'label': '384.5396.24.h1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '24.h1', 'normal_contained_in': ['8.h1', '12.d1', '12.e1'], 'normal_contains': ['48.g1', '48.i1'], 'normalizer': '1.a1', 'old_label': '24.h1', 'projective_image': '24.9', 'quotient_action_image': '1.1', 'quotient_action_kernel': '24.9', 'quotient_action_kernel_order': 24, 'quotient_fusion': None, 'short_label': '24.h1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 56432142
{'ambient': '384.5396', 'aut_centralizer_order': 512, 'aut_label': '24.i1', 'aut_quo_index': 21, 'aut_stab_index': 1, 'aut_weyl_group': '16.11', 'aut_weyl_index': 512, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.i1', '12.d1', '12.f1', '12.g1'], 'contains': ['48.g1', '48.j1'], 'core': '24.i1', 'coset_action_label': None, 'count': 1, 'diagramx': [7950, 7950, 7674, 7674], 'generators': [4, 48], 'label': '384.5396.24.i1', 'mobius_quo': 0, 'mobius_sub': 8, 'normal_closure': '24.i1', 'normal_contained_in': ['8.i1', '12.d1', '12.f1', '12.g1'], 'normal_contains': ['48.g1', '48.j1'], 'normalizer': '1.a1', 'old_label': '24.i1', 'projective_image': '24.15', 'quotient_action_image': '1.1', 'quotient_action_kernel': '24.15', 'quotient_action_kernel_order': 24, 'quotient_fusion': None, 'short_label': '24.i1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 56432143
{'ambient': '384.5396', 'aut_centralizer_order': 128, 'aut_label': '24.j1', 'aut_quo_index': 1, 'aut_stab_index': 8, 'aut_weyl_group': '8.2', 'aut_weyl_index': 1024, 'centralizer': '1.a1', 'complements': ['16.a1'], 'conjugacy_class_count': 8, 'contained_in': ['8.j1', '12.a1', '12.g1'], 'contains': ['48.j1'], 'core': '24.j1', 'coset_action_label': None, 'count': 8, 'diagramx': [9289, 9289, 9111, 9111], 'generators': [265], 'label': '384.5396.24.j1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '24.j1', 'normal_contained_in': ['8.j1', '12.a1', '12.g1'], 'normal_contains': ['48.j1'], 'normalizer': '1.a1', 'old_label': '24.j1', 'projective_image': '24.9', 'quotient_action_image': '1.1', 'quotient_action_kernel': '24.9', 'quotient_action_kernel_order': 24, 'quotient_fusion': None, 'short_label': '24.j1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 56432144
{'ambient': '384.5396', 'aut_centralizer_order': 512, 'aut_label': '32.a1', 'aut_quo_index': 1, 'aut_stab_index': 4, 'aut_weyl_group': '4.2', 'aut_weyl_index': 2048, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 4, 'contained_in': ['16.a1', '16.d1'], 'contains': ['64.a1', '64.b1', '96.a1'], 'core': '32.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [760, 760, 1256, 1256], 'generators': [1, 4, 128], 'label': '384.5396.32.a1', 'mobius_quo': -2, 'mobius_sub': 0, 'normal_closure': '32.a1', 'normal_contained_in': ['16.a1', '16.d1'], 'normal_contains': ['64.a1', '64.b1', '96.a1'], 'normalizer': '1.a1', 'old_label': '32.a1', 'projective_image': '32.16', 'quotient_action_image': '1.1', 'quotient_action_kernel': '32.16', 'quotient_action_kernel_order': 32, 'quotient_fusion': None, 'short_label': '32.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 56432145
{'ambient': '384.5396', 'aut_centralizer_order': 1024, 'aut_label': '32.b1', 'aut_quo_index': 2, 'aut_stab_index': 2, 'aut_weyl_group': '4.2', 'aut_weyl_index': 2048, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['16.b1', '16.c1', '16.d1'], 'contains': ['64.a1', '64.c1', '96.b1'], 'core': '32.b1', 'coset_action_label': None, 'count': 2, 'diagramx': [2431, 2431, 2921, 2921], 'generators': [1, 192, 128], 'label': '384.5396.32.b1', 'mobius_quo': -2, 'mobius_sub': 0, 'normal_closure': '32.b1', 'normal_contained_in': ['16.b1', '16.c1', '16.d1'], 'normal_contains': ['64.a1', '64.c1', '96.b1'], 'normalizer': '1.a1', 'old_label': '32.b1', 'projective_image': '32.3', 'quotient_action_image': '1.1', 'quotient_action_kernel': '32.3', 'quotient_action_kernel_order': 32, 'quotient_fusion': None, 'short_label': '32.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 56432146
{'ambient': '384.5396', 'aut_centralizer_order': 256, 'aut_label': '32.c1', 'aut_quo_index': 1, 'aut_stab_index': 8, 'aut_weyl_group': '4.2', 'aut_weyl_index': 2048, 'centralizer': '1.a1', 'complements': ['12.a1'], 'conjugacy_class_count': 8, 'contained_in': ['16.a1', '16.e1'], 'contains': ['64.b1', '96.c1'], 'core': '32.c1', 'coset_action_label': None, 'count': 8, 'diagramx': [231, 231, 413, 413], 'generators': [3, 128, 4], 'label': '384.5396.32.c1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '32.c1', 'normal_contained_in': ['16.a1', '16.e1'], 'normal_contains': ['64.b1', '96.c1'], 'normalizer': '1.a1', 'old_label': '32.c1', 'projective_image': '32.16', 'quotient_action_image': '1.1', 'quotient_action_kernel': '32.16', 'quotient_action_kernel_order': 32, 'quotient_fusion': None, 'short_label': '32.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 56432147
{'ambient': '384.5396', 'aut_centralizer_order': 2048, 'aut_label': '32.d1', 'aut_quo_index': 6, 'aut_stab_index': 1, 'aut_weyl_group': '4.2', 'aut_weyl_index': 2048, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.d1', '16.e1', '16.f1', '16.g1'], 'contains': ['64.b1', '64.c1', '96.d1'], 'core': '32.d1', 'coset_action_label': None, 'count': 1, 'diagramx': [1774, 1774, 2180, 2180], 'generators': [4, 192, 128], 'label': '384.5396.32.d1', 'mobius_quo': -2, 'mobius_sub': 0, 'normal_closure': '32.d1', 'normal_contained_in': ['16.d1', '16.e1', '16.f1', '16.g1'], 'normal_contains': ['64.b1', '64.c1', '96.d1'], 'normalizer': '1.a1', 'old_label': '32.d1', 'projective_image': '32.36', 'quotient_action_image': '1.1', 'quotient_action_kernel': '32.36', 'quotient_action_kernel_order': 32, 'quotient_fusion': None, 'short_label': '32.d1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 56432148
{'ambient': '384.5396', 'aut_centralizer_order': 1024, 'aut_label': '32.e1', 'aut_quo_index': 2, 'aut_stab_index': 2, 'aut_weyl_group': '4.2', 'aut_weyl_index': 2048, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['16.b1', '16.c1', '16.f1'], 'contains': ['64.c1', '96.e1'], 'core': '32.e1', 'coset_action_label': None, 'count': 2, 'diagramx': [3093, 3093, 3763, 3763], 'generators': [97, 128, 192], 'label': '384.5396.32.e1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '32.e1', 'normal_contained_in': ['16.b1', '16.c1', '16.f1'], 'normal_contains': ['64.c1', '96.e1'], 'normalizer': '1.a1', 'old_label': '32.e1', 'projective_image': '32.3', 'quotient_action_image': '1.1', 'quotient_action_kernel': '32.3', 'quotient_action_kernel_order': 32, 'quotient_fusion': None, 'short_label': '32.e1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 56432149
{'ambient': '384.5396', 'aut_centralizer_order': 2048, 'aut_label': '32.f1', 'aut_quo_index': 3, 'aut_stab_index': 1, 'aut_weyl_group': '4.2', 'aut_weyl_index': 2048, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.b1', '16.g1', '16.h1'], 'contains': ['64.c1', '96.f1'], 'core': '32.f1', 'coset_action_label': None, 'count': 1, 'diagramx': [3671, 3671, 4062, 4062], 'generators': [100, 128, 192], 'label': '384.5396.32.f1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '32.f1', 'normal_contained_in': ['16.b1', '16.g1', '16.h1'], 'normal_contains': ['64.c1', '96.f1'], 'normalizer': '1.a1', 'old_label': '32.f1', 'projective_image': '32.36', 'quotient_action_image': '1.1', 'quotient_action_kernel': '32.36', 'quotient_action_kernel_order': 32, 'quotient_fusion': None, 'short_label': '32.f1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 56432150
{'ambient': '384.5396', 'aut_centralizer_order': 2048, 'aut_label': '32.g1', 'aut_quo_index': 12, 'aut_stab_index': 1, 'aut_weyl_group': '4.2', 'aut_weyl_index': 2048, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.c1', '16.g1', '16.i1', '16.j1'], 'contains': ['64.c1', '96.g1'], 'core': '32.g1', 'coset_action_label': None, 'count': 1, 'diagramx': [5053, 5053, 5285, 5285], 'generators': [96, 128, 192], 'label': '384.5396.32.g1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '32.g1', 'normal_contained_in': ['16.c1', '16.g1', '16.i1', '16.j1'], 'normal_contains': ['64.c1', '96.g1'], 'normalizer': '1.a1', 'old_label': '32.g1', 'projective_image': '32.21', 'quotient_action_image': '1.1', 'quotient_action_kernel': '32.21', 'quotient_action_kernel_order': 32, 'quotient_fusion': None, 'short_label': '32.g1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 56432151
{'ambient': '384.5396', 'aut_centralizer_order': 16, 'aut_label': '4.a1', 'aut_quo_index': 1, 'aut_stab_index': 8, 'aut_weyl_group': '64.263', 'aut_weyl_index': 128, 'centralizer': '1.a1', 'complements': ['96.c1'], 'conjugacy_class_count': 8, 'contained_in': ['2.b1'], 'contains': ['8.b1', '8.j1', '12.a1'], 'core': '4.a1', 'coset_action_label': None, 'count': 8, 'diagramx': [9029, 9029, 9394, 9394], 'generators': [1, 192, 96, 30, 128, 52], 'label': '384.5396.4.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '4.a1', 'normal_contained_in': ['2.b1'], 'normal_contains': ['8.b1', '8.j1', '12.a1'], 'normalizer': '1.a1', 'old_label': '4.a1', 'projective_image': '4.1', 'quotient_action_image': '1.1', 'quotient_action_kernel': '4.1', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '4.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 56432152
{'ambient': '384.5396', 'aut_centralizer_order': 128, 'aut_label': '48.a1', 'aut_quo_index': 1, 'aut_stab_index': 8, 'aut_weyl_group': '8.3', 'aut_weyl_index': 1024, 'centralizer': '1.a1', 'complements': ['8.j1'], 'conjugacy_class_count': 8, 'contained_in': ['16.a1', '24.c1'], 'contains': ['96.a1', '96.c1'], 'core': '48.a1', 'coset_action_label': None, 'count': 8, 'diagramx': [449, 449, 793, 793], 'generators': [1, 2], 'label': '384.5396.48.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '48.a1', 'normal_contained_in': ['16.a1', '24.c1'], 'normal_contains': ['96.a1', '96.c1'], 'normalizer': '1.a1', 'old_label': '48.a1', 'projective_image': '48.2', 'quotient_action_image': '1.1', 'quotient_action_kernel': '48.2', 'quotient_action_kernel_order': 48, 'quotient_fusion': None, 'short_label': '48.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 56432153
{'ambient': '384.5396', 'aut_centralizer_order': 1024, 'aut_label': '48.b1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '4.2', 'aut_weyl_index': 2048, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['16.b1', '24.a1', '24.d1'], 'contains': ['96.b1', '96.e1', '96.f1'], 'core': '48.b1', 'coset_action_label': None, 'count': 2, 'diagramx': [3918, 3918, 4443, 4443], 'generators': [1, 100], 'label': '384.5396.48.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '48.b1', 'normal_contained_in': ['16.b1', '24.a1', '24.d1'], 'normal_contains': ['96.b1', '96.e1', '96.f1'], 'normalizer': '1.a1', 'old_label': '48.b1', 'projective_image': '48.23', 'quotient_action_image': '1.1', 'quotient_action_kernel': '48.23', 'quotient_action_kernel_order': 48, 'quotient_fusion': None, 'short_label': '48.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 56432154
{'ambient': '384.5396', 'aut_centralizer_order': 1024, 'aut_label': '48.c1', 'aut_quo_index': 6, 'aut_stab_index': 2, 'aut_weyl_group': '4.2', 'aut_weyl_index': 2048, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['16.c1', '24.b1', '24.d1'], 'contains': ['96.b1', '96.e1', '96.g1'], 'core': '48.c1', 'coset_action_label': None, 'count': 2, 'diagramx': [4666, 4666, 5666, 5666], 'generators': [1, 96], 'label': '384.5396.48.c1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '48.c1', 'normal_contained_in': ['16.c1', '24.b1', '24.d1'], 'normal_contains': ['96.b1', '96.e1', '96.g1'], 'normalizer': '1.a1', 'old_label': '48.c1', 'projective_image': '48.20', 'quotient_action_image': '1.1', 'quotient_action_kernel': '48.20', 'quotient_action_kernel_order': 48, 'quotient_fusion': None, 'short_label': '48.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 56432155
{'ambient': '384.5396', 'aut_centralizer_order': 1024, 'aut_label': '48.d1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '8.3', 'aut_weyl_index': 1024, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.d1', '24.c1', '24.d1'], 'contains': ['96.a1', '96.b1', '96.d1'], 'core': '48.d1', 'coset_action_label': None, 'count': 1, 'diagramx': [2251, 2251, 2550, 2550], 'generators': [1, 4, 192], 'label': '384.5396.48.d1', 'mobius_quo': -8, 'mobius_sub': 0, 'normal_closure': '48.d1', 'normal_contained_in': ['16.d1', '24.c1', '24.d1'], 'normal_contains': ['96.a1', '96.b1', '96.d1'], 'normalizer': '1.a1', 'old_label': '48.d1', 'projective_image': '48.23', 'quotient_action_image': '1.1', 'quotient_action_kernel': '48.23', 'quotient_action_kernel_order': 48, 'quotient_fusion': None, 'short_label': '48.d1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 56432156
{'ambient': '384.5396', 'aut_centralizer_order': 512, 'aut_label': '48.e1', 'aut_quo_index': 2, 'aut_stab_index': 4, 'aut_weyl_group': '4.2', 'aut_weyl_index': 2048, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 4, 'contained_in': ['16.e1', '24.c1', '24.e1', '24.f1'], 'contains': ['96.c1', '96.d1'], 'core': '48.e1', 'coset_action_label': None, 'count': 4, 'diagramx': [1465, 1465, 1718, 1718], 'generators': [3, 192], 'label': '384.5396.48.e1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '48.e1', 'normal_contained_in': ['16.e1', '24.c1', '24.e1', '24.f1'], 'normal_contains': ['96.c1', '96.d1'], 'normalizer': '1.a1', 'old_label': '48.e1', 'projective_image': '48.23', 'quotient_action_image': '1.1', 'quotient_action_kernel': '48.23', 'quotient_action_kernel_order': 48, 'quotient_fusion': None, 'short_label': '48.e1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 56432157
{'ambient': '384.5396', 'aut_centralizer_order': 1024, 'aut_label': '48.f1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '8.3', 'aut_weyl_index': 1024, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.f1', '24.d1', '24.e1'], 'contains': ['96.d1', '96.e1'], 'core': '48.f1', 'coset_action_label': None, 'count': 1, 'diagramx': [3037, 3037, 3383, 3383], 'generators': [97, 4], 'label': '384.5396.48.f1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '48.f1', 'normal_contained_in': ['16.f1', '24.d1', '24.e1'], 'normal_contains': ['96.d1', '96.e1'], 'normalizer': '1.a1', 'old_label': '48.f1', 'projective_image': '48.23', 'quotient_action_image': '1.1', 'quotient_action_kernel': '48.23', 'quotient_action_kernel_order': 48, 'quotient_fusion': None, 'short_label': '48.f1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 56432158
{'ambient': '384.5396', 'aut_centralizer_order': 2048, 'aut_label': '48.g1', 'aut_quo_index': 12, 'aut_stab_index': 1, 'aut_weyl_group': '4.2', 'aut_weyl_index': 2048, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.g1', '24.d1', '24.f1', '24.g1', '24.h1', '24.i1'], 'contains': ['96.d1', '96.f1', '96.g1'], 'core': '48.g1', 'coset_action_label': None, 'count': 1, 'diagramx': [5279, 5279, 4905, 4905], 'generators': [4, 96], 'label': '384.5396.48.g1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '48.g1', 'normal_contained_in': ['16.g1', '24.d1', '24.f1', '24.g1', '24.h1', '24.i1'], 'normal_contains': ['96.d1', '96.f1', '96.g1'], 'normalizer': '1.a1', 'old_label': '48.g1', 'projective_image': '48.44', 'quotient_action_image': '1.1', 'quotient_action_kernel': '48.44', 'quotient_action_kernel_order': 48, 'quotient_fusion': None, 'short_label': '48.g1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 56432159
{'ambient': '384.5396', 'aut_centralizer_order': 512, 'aut_label': '48.h1', 'aut_quo_index': 1, 'aut_stab_index': 4, 'aut_weyl_group': '4.2', 'aut_weyl_index': 2048, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 4, 'contained_in': ['16.h1', '24.a1', '24.g1'], 'contains': ['96.f1'], 'core': '48.h1', 'coset_action_label': None, 'count': 4, 'diagramx': [5734, 5734, 6019, 6019], 'generators': [51], 'label': '384.5396.48.h1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '48.h1', 'normal_contained_in': ['16.h1', '24.a1', '24.g1'], 'normal_contains': ['96.f1'], 'normalizer': '1.a1', 'old_label': '48.h1', 'projective_image': '48.23', 'quotient_action_image': '1.1', 'quotient_action_kernel': '48.23', 'quotient_action_kernel_order': 48, 'quotient_fusion': None, 'short_label': '48.h1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 56432160
{'ambient': '384.5396', 'aut_centralizer_order': 1024, 'aut_label': '48.i1', 'aut_quo_index': 3, 'aut_stab_index': 2, 'aut_weyl_group': '4.2', 'aut_weyl_index': 2048, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['16.i1', '24.b1', '24.h1'], 'contains': ['96.g1'], 'core': '48.i1', 'coset_action_label': None, 'count': 2, 'diagramx': [6914, 6914, 7103, 7103], 'generators': [49], 'label': '384.5396.48.i1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '48.i1', 'normal_contained_in': ['16.i1', '24.b1', '24.h1'], 'normal_contains': ['96.g1'], 'normalizer': '1.a1', 'old_label': '48.i1', 'projective_image': '48.20', 'quotient_action_image': '1.1', 'quotient_action_kernel': '48.20', 'quotient_action_kernel_order': 48, 'quotient_fusion': None, 'short_label': '48.i1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 56432161
{'ambient': '384.5396', 'aut_centralizer_order': 1024, 'aut_label': '48.j1', 'aut_quo_index': 6, 'aut_stab_index': 2, 'aut_weyl_group': '4.2', 'aut_weyl_index': 2048, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['16.j1', '24.b1', '24.i1', '24.j1'], 'contains': ['96.g1'], 'core': '48.j1', 'coset_action_label': None, 'count': 2, 'diagramx': [7950, 7950, 8055, 8055], 'generators': [52], 'label': '384.5396.48.j1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '48.j1', 'normal_contained_in': ['16.j1', '24.b1', '24.i1', '24.j1'], 'normal_contains': ['96.g1'], 'normalizer': '1.a1', 'old_label': '48.j1', 'projective_image': '48.44', 'quotient_action_image': '1.1', 'quotient_action_kernel': '48.44', 'quotient_action_kernel_order': 48, 'quotient_fusion': None, 'short_label': '48.j1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 56432162
{'ambient': '384.5396', 'aut_centralizer_order': 32, 'aut_label': '4.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '256.53380', 'aut_weyl_index': 32, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1'], 'contains': ['8.c1', '8.d1', '8.e1', '8.f1', '12.b1'], 'core': '4.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [3195, 3195, 2686, 2686], 'generators': [1, 192, 4, 2, 96, 128], 'label': '384.5396.4.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '4.b1', 'normal_contained_in': ['2.a1'], 'normal_contains': ['8.c1', '8.d1', '8.e1', '8.f1', '12.b1'], 'normalizer': '1.a1', 'old_label': '4.b1', 'projective_image': '4.1', 'quotient_action_image': '1.1', 'quotient_action_kernel': '4.1', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '4.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 56432163
{'ambient': '384.5396', 'aut_centralizer_order': 1024, 'aut_label': '64.a1', 'aut_quo_index': 1, 'aut_stab_index': 4, 'aut_weyl_group': '2.1', 'aut_weyl_index': 4096, 'centralizer': '1.a1', 'complements': ['6.c1'], 'conjugacy_class_count': 4, 'contained_in': ['32.a1', '32.b1'], 'contains': ['128.a1', '192.a1'], 'core': '64.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [1578, 1578, 2594, 2594], 'generators': [1, 128], 'label': '384.5396.64.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '64.a1', 'normal_contained_in': ['32.a1', '32.b1'], 'normal_contains': ['128.a1', '192.a1'], 'normalizer': '1.a1', 'old_label': '64.a1', 'projective_image': '64.26', 'quotient_action_image': '1.1', 'quotient_action_kernel': '64.26', 'quotient_action_kernel_order': 64, 'quotient_fusion': None, 'short_label': '64.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 56432164
{'ambient': '384.5396', 'aut_centralizer_order': 2048, 'aut_label': '64.b1', 'aut_quo_index': 3, 'aut_stab_index': 2, 'aut_weyl_group': '2.1', 'aut_weyl_index': 4096, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['32.a1', '32.c1', '32.d1'], 'contains': ['128.a1', '192.b1'], 'core': '64.b1', 'coset_action_label': None, 'count': 2, 'diagramx': [1189, 1189, 2071, 2071], 'generators': [4, 128], 'label': '384.5396.64.b1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '64.b1', 'normal_contained_in': ['32.a1', '32.c1', '32.d1'], 'normal_contains': ['128.a1', '192.b1'], 'normalizer': '1.a1', 'old_label': '64.b1', 'projective_image': '64.183', 'quotient_action_image': '1.1', 'quotient_action_kernel': '64.183', 'quotient_action_kernel_order': 64, 'quotient_fusion': None, 'short_label': '64.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 56432165
{'ambient': '384.5396', 'aut_centralizer_order': 4096, 'aut_label': '64.c1', 'aut_quo_index': 4, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 4096, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.b1', '32.d1', '32.e1', '32.f1', '32.g1'], 'contains': ['128.a1', '192.c1'], 'core': '64.c1', 'coset_action_label': None, 'count': 1, 'diagramx': [2564, 2564, 3179, 3179], 'generators': [192, 128], 'label': '384.5396.64.c1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '64.c1', 'normal_contained_in': ['32.b1', '32.d1', '32.e1', '32.f1', '32.g1'], 'normal_contains': ['128.a1', '192.c1'], 'normalizer': '1.a1', 'old_label': '64.c1', 'projective_image': '64.83', 'quotient_action_image': '1.1', 'quotient_action_kernel': '64.83', 'quotient_action_kernel_order': 64, 'quotient_fusion': None, 'short_label': '64.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 56432166
{'ambient': '384.5396', 'aut_centralizer_order': 1024, 'aut_label': '96.a1', 'aut_quo_index': 1, 'aut_stab_index': 4, 'aut_weyl_group': '2.1', 'aut_weyl_index': 4096, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 4, 'contained_in': ['32.a1', '48.a1', '48.d1'], 'contains': ['192.a1', '192.b1'], 'core': '96.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [929, 929, 2333, 2333], 'generators': [1, 4], 'label': '384.5396.96.a1', 'mobius_quo': 2, 'mobius_sub': 0, 'normal_closure': '96.a1', 'normal_contained_in': ['32.a1', '48.a1', '48.d1'], 'normal_contains': ['192.a1', '192.b1'], 'normalizer': '1.a1', 'old_label': '96.a1', 'projective_image': '96.59', 'quotient_action_image': '1.1', 'quotient_action_kernel': '96.59', 'quotient_action_kernel_order': 96, 'quotient_fusion': None, 'short_label': '96.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 56432167
{'ambient': '384.5396', 'aut_centralizer_order': 2048, 'aut_label': '96.b1', 'aut_quo_index': 2, 'aut_stab_index': 2, 'aut_weyl_group': '2.1', 'aut_weyl_index': 4096, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['32.b1', '48.b1', '48.c1', '48.d1'], 'contains': ['192.a1', '192.c1'], 'core': '96.b1', 'coset_action_label': None, 'count': 2, 'diagramx': [2776, 2776, 3440, 3440], 'generators': [1, 192], 'label': '384.5396.96.b1', 'mobius_quo': 2, 'mobius_sub': 0, 'normal_closure': '96.b1', 'normal_contained_in': ['32.b1', '48.b1', '48.c1', '48.d1'], 'normal_contains': ['192.a1', '192.c1'], 'normalizer': '1.a1', 'old_label': '96.b1', 'projective_image': '96.46', 'quotient_action_image': '1.1', 'quotient_action_kernel': '96.46', 'quotient_action_kernel_order': 96, 'quotient_fusion': None, 'short_label': '96.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 56432168
{'ambient': '384.5396', 'aut_centralizer_order': 512, 'aut_label': '96.c1', 'aut_quo_index': 1, 'aut_stab_index': 8, 'aut_weyl_group': '2.1', 'aut_weyl_index': 4096, 'centralizer': '1.a1', 'complements': ['4.a1'], 'conjugacy_class_count': 8, 'contained_in': ['32.c1', '48.a1', '48.e1'], 'contains': ['192.b1'], 'core': '96.c1', 'coset_action_label': None, 'count': 8, 'diagramx': [488, 488, 1256, 1256], 'generators': [3], 'label': '384.5396.96.c1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '96.c1', 'normal_contained_in': ['32.c1', '48.a1', '48.e1'], 'normal_contains': ['192.b1'], 'normalizer': '1.a1', 'old_label': '96.c1', 'projective_image': '96.59', 'quotient_action_image': '1.1', 'quotient_action_kernel': '96.59', 'quotient_action_kernel_order': 96, 'quotient_fusion': None, 'short_label': '96.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 56432169
{'ambient': '384.5396', 'aut_centralizer_order': 4096, 'aut_label': '96.d1', 'aut_quo_index': 6, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 4096, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.d1', '48.d1', '48.e1', '48.f1', '48.g1'], 'contains': ['192.b1', '192.c1'], 'core': '96.d1', 'coset_action_label': None, 'count': 1, 'diagramx': [2102, 2102, 2856, 2856], 'generators': [4, 192], 'label': '384.5396.96.d1', 'mobius_quo': 2, 'mobius_sub': 0, 'normal_closure': '96.d1', 'normal_contained_in': ['32.d1', '48.d1', '48.e1', '48.f1', '48.g1'], 'normal_contains': ['192.b1', '192.c1'], 'normalizer': '1.a1', 'old_label': '96.d1', 'projective_image': '96.176', 'quotient_action_image': '1.1', 'quotient_action_kernel': '96.176', 'quotient_action_kernel_order': 96, 'quotient_fusion': None, 'short_label': '96.d1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 56432170
{'ambient': '384.5396', 'aut_centralizer_order': 2048, 'aut_label': '96.e1', 'aut_quo_index': 2, 'aut_stab_index': 2, 'aut_weyl_group': '2.1', 'aut_weyl_index': 4096, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['32.e1', '48.b1', '48.c1', '48.f1'], 'contains': ['192.c1'], 'core': '96.e1', 'coset_action_label': None, 'count': 2, 'diagramx': [3611, 3611, 3763, 3763], 'generators': [97], 'label': '384.5396.96.e1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '96.e1', 'normal_contained_in': ['32.e1', '48.b1', '48.c1', '48.f1'], 'normal_contains': ['192.c1'], 'normalizer': '1.a1', 'old_label': '96.e1', 'projective_image': '96.46', 'quotient_action_image': '1.1', 'quotient_action_kernel': '96.46', 'quotient_action_kernel_order': 96, 'quotient_fusion': None, 'short_label': '96.e1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 56432171
{'ambient': '384.5396', 'aut_centralizer_order': 4096, 'aut_label': '96.f1', 'aut_quo_index': 3, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 4096, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.f1', '48.b1', '48.g1', '48.h1'], 'contains': ['192.c1'], 'core': '96.f1', 'coset_action_label': None, 'count': 1, 'diagramx': [4358, 4358, 4443, 4443], 'generators': [100], 'label': '384.5396.96.f1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '96.f1', 'normal_contained_in': ['32.f1', '48.b1', '48.g1', '48.h1'], 'normal_contains': ['192.c1'], 'normalizer': '1.a1', 'old_label': '96.f1', 'projective_image': '96.176', 'quotient_action_image': '1.1', 'quotient_action_kernel': '96.176', 'quotient_action_kernel_order': 96, 'quotient_fusion': None, 'short_label': '96.f1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 56432172
{'ambient': '384.5396', 'aut_centralizer_order': 4096, 'aut_label': '96.g1', 'aut_quo_index': 12, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 4096, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.g1', '48.c1', '48.g1', '48.i1', '48.j1'], 'contains': ['192.c1'], 'core': '96.g1', 'coset_action_label': None, 'count': 1, 'diagramx': [5116, 5116, 5476, 5476], 'generators': [96], 'label': '384.5396.96.g1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '96.g1', 'normal_contained_in': ['32.g1', '48.c1', '48.g1', '48.i1', '48.j1'], 'normal_contains': ['192.c1'], 'normalizer': '1.a1', 'old_label': '96.g1', 'projective_image': '96.161', 'quotient_action_image': '1.1', 'quotient_action_kernel': '96.161', 'quotient_action_kernel_order': 96, 'quotient_fusion': None, 'short_label': '96.g1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 56432173
{'ambient': '384.5396', 'aut_centralizer_order': 32, 'aut_label': '4.c1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '256.53380', 'aut_weyl_index': 32, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1'], 'contains': ['8.a1', '8.d1', '8.g1', '12.c1'], 'core': '4.c1', 'coset_action_label': None, 'count': 1, 'diagramx': [5310, 5310, 4613, 4613], 'generators': [1, 192, 100, 50, 96, 128], 'label': '384.5396.4.c1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '4.c1', 'normal_contained_in': ['2.a1'], 'normal_contains': ['8.a1', '8.d1', '8.g1', '12.c1'], 'normalizer': '1.a1', 'old_label': '4.c1', 'projective_image': '4.1', 'quotient_action_image': '1.1', 'quotient_action_kernel': '4.1', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '4.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 56432174
{'ambient': '384.5396', 'aut_centralizer_order': 4096, 'aut_label': '128.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 4096, 'centralizer': '1.a1', 'complements': ['1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['64.a1', '64.b1', '64.c1'], 'contains': ['384.a1'], 'core': '128.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1404, 1404, 2584, 2584], 'generators': [128], 'label': '384.5396.128.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '128.a1', 'normal_contained_in': ['64.a1', '64.b1', '64.c1'], 'normal_contains': ['384.a1'], 'normalizer': '1.a1', 'old_label': '128.a1', 'projective_image': '128.837', 'quotient_action_image': '1.1', 'quotient_action_kernel': '384.5396', 'quotient_action_kernel_order': 384, 'quotient_fusion': None, 'short_label': '128.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 56432175
{'ambient': '384.5396', 'aut_centralizer_order': 2048, 'aut_label': '192.a1', 'aut_quo_index': 1, 'aut_stab_index': 4, 'aut_weyl_group': '1.1', 'aut_weyl_index': 8192, 'centralizer': '1.a1', 'complements': ['2.c1'], 'conjugacy_class_count': 4, 'contained_in': ['64.a1', '96.a1', '96.b1'], 'contains': ['384.a1'], 'core': '192.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [1666, 1666, 2829, 2829], 'generators': [1], 'label': '384.5396.192.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '192.a1', 'normal_contained_in': ['64.a1', '96.a1', '96.b1'], 'normal_contains': ['384.a1'], 'normalizer': '1.a1', 'old_label': '192.a1', 'projective_image': '192.151', 'quotient_action_image': '1.1', 'quotient_action_kernel': '192.151', 'quotient_action_kernel_order': 192, 'quotient_fusion': None, 'short_label': '192.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 56432176
{'ambient': '384.5396', 'aut_centralizer_order': 4096, 'aut_label': '192.b1', 'aut_quo_index': 3, 'aut_stab_index': 2, 'aut_weyl_group': '1.1', 'aut_weyl_index': 8192, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['64.b1', '96.a1', '96.c1', '96.d1'], 'contains': ['384.a1'], 'core': '192.b1', 'coset_action_label': None, 'count': 2, 'diagramx': [1196, 1196, 2333, 2333], 'generators': [4], 'label': '384.5396.192.b1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '192.b1', 'normal_contained_in': ['64.b1', '96.a1', '96.c1', '96.d1'], 'normal_contains': ['384.a1'], 'normalizer': '1.a1', 'old_label': '192.b1', 'projective_image': '192.935', 'quotient_action_image': '1.1', 'quotient_action_kernel': '192.935', 'quotient_action_kernel_order': 192, 'quotient_fusion': None, 'short_label': '192.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 56432177
{'ambient': '384.5396', 'aut_centralizer_order': 8192, 'aut_label': '192.c1', 'aut_quo_index': 4, 'aut_stab_index': 1, 'aut_weyl_group': '1.1', 'aut_weyl_index': 8192, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['64.c1', '96.b1', '96.d1', '96.e1', '96.f1', '96.g1'], 'contains': ['384.a1'], 'core': '192.c1', 'coset_action_label': None, 'count': 1, 'diagramx': [2776, 2776, 3440, 3440], 'generators': [192], 'label': '384.5396.192.c1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '192.c1', 'normal_contained_in': ['64.c1', '96.b1', '96.d1', '96.e1', '96.f1', '96.g1'], 'normal_contains': ['384.a1'], 'normalizer': '1.a1', 'old_label': '192.c1', 'projective_image': '192.835', 'quotient_action_image': '1.1', 'quotient_action_kernel': '192.835', 'quotient_action_kernel_order': 192, 'quotient_fusion': None, 'short_label': '192.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 56432178
{'ambient': '384.5396', 'aut_centralizer_order': None, 'aut_label': '384.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': ['1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['128.a1', '192.a1', '192.b1', '192.c1'], 'contains': [], 'core': '384.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1504, 1504, 2706, 2706], 'generators': [], 'label': '384.5396.384.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '384.a1', 'normal_contained_in': ['128.a1', '192.a1', '192.b1', '192.c1'], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '384.a1', 'projective_image': '384.5396', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 56432179
{'ambient': '384.5396', 'aut_centralizer_order': 64, 'aut_label': '4.d1', 'aut_quo_index': 3, 'aut_stab_index': 1, 'aut_weyl_group': '128.2163', 'aut_weyl_index': 64, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1', '2.b1'], 'contains': ['8.b1', '8.d1', '8.h1', '8.i1', '12.d1'], 'core': '4.d1', 'coset_action_label': None, 'count': 1, 'diagramx': [7443, 7443, 7066, 7066], 'generators': [1, 192, 96, 4, 48, 128], 'label': '384.5396.4.d1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.d1', 'normal_contained_in': ['2.a1', '2.b1'], 'normal_contains': ['8.b1', '8.d1', '8.h1', '8.i1', '12.d1'], 'normalizer': '1.a1', 'old_label': '4.d1', 'projective_image': '4.2', 'quotient_action_image': '1.1', 'quotient_action_kernel': '4.2', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '4.d1', 'subgroup_fusion': None, 'weyl_group': '1.1'}