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{'Agroup': False, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '64.260', 'all_subgroups_known': False, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 2, 'aut_exponent': 4, 'aut_gen_orders': [4, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], 'aut_gens': [[27432399120806406, 1980598492144166904, 6402554290097334, 857420946617059946, 6632332767393, 1345066420832241434, 2202858817115774000, 39924699659940486, 27496500075031680], [27449405176750719, 1980598492144166904, 6402554290097334, 1237545468717005124, 2202870673879035112, 736630221069481256, 2202858817115774000, 2236273739167783478, 1628105774973244773], [1953208032966861410, 1980598492144166904, 2196456356231391896, 343890971770118216, 13170668319993, 1007521492080126746, 2202858817115774000, 2223824592006853022, 2236400596077911600], [1959627674220551621, 1628175094035215316, 2196456356231391896, 960543986823303749, 13170668319993, 763994539873957432, 2202858817115774000, 2236273739167783478, 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True, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 3], [2, 2, 1, 6], [2, 4, 2, 4], [2, 4, 4, 2], [2, 4, 8, 1], [2, 8, 2, 1], [2, 8, 4, 3], [2, 16, 2, 1], [4, 1, 4, 1], [4, 2, 2, 3], [4, 4, 2, 2], [4, 4, 4, 5], [4, 4, 8, 1], [4, 8, 2, 3], [4, 8, 4, 7], [4, 8, 8, 6], [4, 16, 2, 3], [4, 16, 4, 2], [4, 32, 4, 4], [8, 32, 4, 2]], 'aut_supersolvable': True, 'aut_tex': 'C_5^4.(C_4\\times D_4)', 'autcent_abelian': True, 'autcent_cyclic': False, 'autcent_exponent': 2, 'autcent_group': '1024.djt', 'autcent_hash': 1957374279625110839, 'autcent_nilpotent': True, 'autcent_order': 1024, 'autcent_solvable': True, 'autcent_split': False, 'autcent_supersolvable': True, 'autcent_tex': 'C_2^{10}', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 4, 'autcentquo_group': '512.8840081', 'autcentquo_hash': 5031195773040996654, 'autcentquo_nilpotent': True, 'autcentquo_order': 512, 'autcentquo_solvable': True, 'autcentquo_supersolvable': True, 'autcentquo_tex': 'C_2^3.C_2^6', 'cc_stats': [[1, 1, 1], [2, 1, 3], [2, 2, 6], [2, 4, 24], [2, 8, 14], [2, 16, 2], [4, 1, 4], [4, 2, 6], [4, 4, 32], [4, 8, 82], [4, 16, 14], [4, 32, 16], [8, 32, 8]], 'center_label': '8.2', 'center_order': 8, 'central_product': None, 'central_quotient': '256.25886', 'commutator_count': 1, 'commutator_label': '32.46', 'complements_known': False, 'complete': False, 'complex_characters_known': False, 'composition_factors': ['2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '2.1'], 'composition_length': 11, 'conjugacy_classes_known': True, 'counter': 1781, 'cyclic': False, 'derived_length': 3, 'dihedral': False, 'direct_factorization': None, 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 3], [2, 2, 1, 6], [2, 4, 1, 24], [2, 8, 1, 14], [2, 16, 1, 2], [4, 1, 2, 2], [4, 2, 2, 3], [4, 4, 1, 4], [4, 4, 2, 14], [4, 8, 1, 34], [4, 8, 2, 24], [4, 16, 1, 6], [4, 16, 2, 4], [4, 32, 1, 8], [4, 32, 2, 4], [8, 32, 1, 4], [8, 32, 2, 2]], 'element_repr_type': 'Perm', 'elementary': 2, 'eulerian_function': None, 'exponent': 8, 'exponents_of_order': [11], 'factors_of_aut_order': [2], 'factors_of_order': [2], 'faithful_reps': [], 'familial': False, 'frattini_label': '64.261', 'frattini_quotient': '32.51', 'hash': 292900809826568866, 'hyperelementary': 2, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 4, 'inner_gen_orders': [2, 2, 2, 4, 1, 4, 1, 2, 2], 'inner_gens': [[27432399120806406, 1980598492144166904, 6402554290097334, 343890971770118216, 6632332767393, 1351468620660751490, 2202858817115774000, 39924699659940486, 27496500075031680], [27432399120806406, 1980598492144166904, 6402554290097334, 857420946617059946, 6632332767393, 986596075749120770, 2202858817115774000, 39924699659940486, 27496500075031680], [27432399120806406, 1980598492144166904, 6402554290097334, 717237999978057168, 6632332767393, 1345066420832241434, 2202858817115774000, 39924699659940486, 27496500075031680], [1953208032966861410, 1980598492144166904, 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27496500075031680]], 'inner_hash': 25886, 'inner_nilpotent': True, 'inner_order': 256, 'inner_split': None, 'inner_tex': 'C_2^5:D_4', 'inner_used': [1, 2, 3, 4, 6, 8, 9], 'irrC_degree': -1, 'irrQ_degree': -1, 'irrQ_dim': -1, 'irrR_degree': None, 'irrep_stats': [[1, 64], [2, 112], [4, 16], [8, 20]], 'label': '2048.cqm', 'linC_count': None, 'linC_degree': None, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': None, 'linQ_degree_count': None, 'linQ_dim': None, 'linQ_dim_count': None, 'linR_count': None, 'linR_degree': None, 'maximal_subgroups_known': True, 'metabelian': False, 'metacyclic': False, 'monomial': True, 'name': '(C4*D4^2).D4', 'ngens': 9, 'nilpotency_class': 4, 'nilpotent': True, 'normal_counts': [1, 3, 9, 27, 109, 271, 395, 395, 331, 171, 31, 1], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 61, 'number_characteristic_subgroups': 202, 'number_conjugacy_classes': 212, 'number_divisions': 159, 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'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'C_5^2:C_{10}^2.Q_8', 'pc_rank': None, 'perfect': False, 'permutation_degree': None, 'pgroup': 2, 'primary_abelian_invariants': [2, 2, 2, 2, 4], 'quasisimple': False, 'rank': 5, 'rational': False, 'rational_characters_known': False, 'ratrep_stats': [[1, 32], [2, 72], [4, 36], [8, 14], [16, 5]], 'representations': {'PC': {'code': '7070840823869233431361319832255775671574661617292883210933703467771887917', 'gens': [1, 3, 4, 6, 8, 9, 11], 'pres': [11, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 22, 12696, 17185, 124, 4779, 2414, 445, 192, 11116, 5583, 36637, 18344, 10337, 4804, 679, 294, 5873]}, 'Perm': {'d': 20, 'gens': [27432399120806406, 1980598492144166904, 6402554290097334, 857420946617059946, 6632332767393, 1345066420832241434, 2202858817115774000, 39924699659940486, 27496500075031680]}}, 'schur_multiplier': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 2, 2, 2, 4], 'solvability_type': 5, 'solvable': True, 'subgroup_inclusions_known': False, 'subgroup_index_bound': 4, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': '(C_4\\times D_4^2).D_4', 'transitive_degree': None, 'wreath_data': None, 'wreath_product': False}
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gps_conj_classes • Show schema
Hide schema
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id: 154490847
{'aut_label': '1A', 'centralizer': None, 'counter': 1, 'group_counter': 1781, 'group_order': 2048, 'label': '1A', 'order': 1, 'powers': [1], 'representative': 0, 'size': 1}
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id: 154490958
{'aut_label': '2A', 'centralizer': None, 'counter': 2, 'group_counter': 1781, 'group_order': 2048, 'label': '2A', 'order': 2, 'powers': [1], 'representative': 19709062341273, 'size': 1}
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id: 154490982
{'aut_label': '2B', 'centralizer': None, 'counter': 3, 'group_counter': 1781, 'group_order': 2048, 'label': '2B', 'order': 2, 'powers': [1], 'representative': 2202875904598688512, 'size': 1}
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id: 154490993
{'aut_label': '2C', 'centralizer': None, 'counter': 4, 'group_counter': 1781, 'group_order': 2048, 'label': '2C', 'order': 2, 'powers': [1], 'representative': 2202858817115774000, 'size': 1}
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id: 154491004
{'aut_label': '2D', 'centralizer': None, 'counter': 5, 'group_counter': 1781, 'group_order': 2048, 'label': '2D', 'order': 2, 'powers': [1], 'representative': 1615725946872843372, 'size': 2}
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id: 154491015
{'aut_label': '2E', 'centralizer': None, 'counter': 6, 'group_counter': 1781, 'group_order': 2048, 'label': '2E', 'order': 2, 'powers': [1], 'representative': 1615740337572712005, 'size': 2}
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id: 154491026
{'aut_label': '2F', 'centralizer': None, 'counter': 7, 'group_counter': 1781, 'group_order': 2048, 'label': '2F', 'order': 2, 'powers': [1], 'representative': 1628175094035215316, 'size': 2}
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id: 154491037
{'aut_label': '2G', 'centralizer': None, 'counter': 8, 'group_counter': 1781, 'group_order': 2048, 'label': '2G', 'order': 2, 'powers': [1], 'representative': 1628189484735083949, 'size': 2}
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id: 154491048
{'aut_label': '2H', 'centralizer': None, 'counter': 9, 'group_counter': 1781, 'group_order': 2048, 'label': '2H', 'order': 2, 'powers': [1], 'representative': 6402554290097334, 'size': 2}
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id: 154490848
{'aut_label': '2I', 'centralizer': None, 'counter': 10, 'group_counter': 1781, 'group_order': 2048, 'label': '2I', 'order': 2, 'powers': [1], 'representative': 6422263352438607, 'size': 2}
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id: 154490859
{'aut_label': '2J', 'centralizer': None, 'counter': 11, 'group_counter': 1781, 'group_order': 2048, 'label': '2J', 'order': 2, 'powers': [1], 'representative': 64163346428214, 'size': 4}
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id: 154490870
{'aut_label': '2J', 'centralizer': None, 'counter': 12, 'group_counter': 1781, 'group_order': 2048, 'label': '2K', 'order': 2, 'powers': [1], 'representative': 82558503711567, 'size': 4}
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id: 154490881
{'aut_label': '2L', 'centralizer': None, 'counter': 13, 'group_counter': 1781, 'group_order': 2048, 'label': '2L', 'order': 2, 'powers': [1], 'representative': 106040900676486, 'size': 4}
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id: 154490892
{'aut_label': '2L', 'centralizer': None, 'counter': 14, 'group_counter': 1781, 'group_order': 2048, 'label': '2M', 'order': 2, 'powers': [1], 'representative': 124442244695679, 'size': 4}
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id: 154490903
{'aut_label': '2L', 'centralizer': None, 'counter': 15, 'group_counter': 1781, 'group_order': 2048, 'label': '2N', 'order': 2, 'powers': [1], 'representative': 168796856936430, 'size': 4}
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id: 154490914
{'aut_label': '2L', 'centralizer': None, 'counter': 16, 'group_counter': 1781, 'group_order': 2048, 'label': '2O', 'order': 2, 'powers': [1], 'representative': 187198240832103, 'size': 4}
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id: 154490925
{'aut_label': '2P', 'centralizer': None, 'counter': 17, 'group_counter': 1781, 'group_order': 2048, 'label': '2P', 'order': 2, 'powers': [1], 'representative': 27432399120806406, 'size': 4}
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id: 154490936
{'aut_label': '2P', 'centralizer': None, 'counter': 18, 'group_counter': 1781, 'group_order': 2048, 'label': '2Q', 'order': 2, 'powers': [1], 'representative': 27449405176750719, 'size': 4}
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id: 154490947
{'aut_label': '2L', 'centralizer': None, 'counter': 19, 'group_counter': 1781, 'group_order': 2048, 'label': '2R', 'order': 2, 'powers': [1], 'representative': 1594633315073077716, 'size': 4}
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id: 154490959
{'aut_label': '2L', 'centralizer': None, 'counter': 20, 'group_counter': 1781, 'group_order': 2048, 'label': '2S', 'order': 2, 'powers': [1], 'representative': 1594650402551994669, 'size': 4}
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id: 154490970
{'aut_label': '2P', 'centralizer': None, 'counter': 21, 'group_counter': 1781, 'group_order': 2048, 'label': '2T', 'order': 2, 'powers': [1], 'representative': 1594738035279572460, 'size': 4}
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id: 154490974
{'aut_label': '2P', 'centralizer': None, 'counter': 22, 'group_counter': 1781, 'group_order': 2048, 'label': '2U', 'order': 2, 'powers': [1], 'representative': 1594755128985838053, 'size': 4}
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id: 154490975
{'aut_label': '2J', 'centralizer': None, 'counter': 23, 'group_counter': 1781, 'group_order': 2048, 'label': '2V', 'order': 2, 'powers': [1], 'representative': 1615663190918024916, 'size': 4}
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id: 154490976
{'aut_label': '2J', 'centralizer': None, 'counter': 24, 'group_counter': 1781, 'group_order': 2048, 'label': '2W', 'order': 2, 'powers': [1], 'representative': 1615677581578017069, 'size': 4}
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id: 154490977
{'aut_label': '2L', 'centralizer': None, 'counter': 25, 'group_counter': 1781, 'group_order': 2048, 'label': '2X', 'order': 2, 'powers': [1], 'representative': 1628091390499988460, 'size': 4}
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id: 154490978
{'aut_label': '2L', 'centralizer': None, 'counter': 26, 'group_counter': 1781, 'group_order': 2048, 'label': '2Y', 'order': 2, 'powers': [1], 'representative': 1628105774973244773, 'size': 4}
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id: 154490979
{'aut_label': '2Z', 'centralizer': None, 'counter': 27, 'group_counter': 1781, 'group_order': 2048, 'label': '2Z', 'order': 2, 'powers': [1], 'representative': 27475552499010030, 'size': 4}
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id: 154490980
{'aut_label': '2Z', 'centralizer': None, 'counter': 28, 'group_counter': 1781, 'group_order': 2048, 'label': '2AA', 'order': 2, 'powers': [1], 'representative': 39924699659940486, 'size': 4}
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id: 154490981
{'aut_label': '2AB', 'centralizer': None, 'counter': 29, 'group_counter': 1781, 'group_order': 2048, 'label': '2AB', 'order': 2, 'powers': [1], 'representative': 426117106405109294, 'size': 4}
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id: 154490983
{'aut_label': '2AB', 'centralizer': None, 'counter': 30, 'group_counter': 1781, 'group_order': 2048, 'label': '2AC', 'order': 2, 'powers': [1], 'representative': 438566340266413020, 'size': 4}
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id: 154490984
{'aut_label': '2AD', 'centralizer': None, 'counter': 31, 'group_counter': 1781, 'group_order': 2048, 'label': '2AD', 'order': 2, 'powers': [1], 'representative': 27491244649896423, 'size': 4}
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id: 154490985
{'aut_label': '2AD', 'centralizer': None, 'counter': 32, 'group_counter': 1781, 'group_order': 2048, 'label': '2AE', 'order': 2, 'powers': [1], 'representative': 39940391810826879, 'size': 4}
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id: 154490986
{'aut_label': '2AF', 'centralizer': None, 'counter': 33, 'group_counter': 1781, 'group_order': 2048, 'label': '2AF', 'order': 2, 'powers': [1], 'representative': 426134200110721127, 'size': 4}
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id: 154490987
{'aut_label': '2AF', 'centralizer': None, 'counter': 34, 'group_counter': 1781, 'group_order': 2048, 'label': '2AG', 'order': 2, 'powers': [1], 'representative': 438583433972024853, 'size': 4}
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id: 154490988
{'aut_label': '2AH', 'centralizer': None, 'counter': 35, 'group_counter': 1781, 'group_order': 2048, 'label': '2AH', 'order': 2, 'powers': [1], 'representative': 6508588484706030, 'size': 8}
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id: 154490989
{'aut_label': '2AH', 'centralizer': None, 'counter': 36, 'group_counter': 1781, 'group_order': 2048, 'label': '2AI', 'order': 2, 'powers': [1], 'representative': 6526989828725223, 'size': 8}
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id: 154490990
{'aut_label': '2AH', 'centralizer': None, 'counter': 37, 'group_counter': 1781, 'group_order': 2048, 'label': '2AJ', 'order': 2, 'powers': [1], 'representative': 6571344439524486, 'size': 8}
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id: 154490991
{'aut_label': '2AH', 'centralizer': None, 'counter': 38, 'group_counter': 1781, 'group_order': 2048, 'label': '2AK', 'order': 2, 'powers': [1], 'representative': 6589745823420159, 'size': 8}
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id: 154490992
{'aut_label': '2AL', 'centralizer': None, 'counter': 39, 'group_counter': 1781, 'group_order': 2048, 'label': '2AL', 'order': 2, 'powers': [1], 'representative': 127507197095562776, 'size': 8}
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id: 154490994
{'aut_label': '2AL', 'centralizer': None, 'counter': 40, 'group_counter': 1781, 'group_order': 2048, 'label': '2AM', 'order': 2, 'powers': [1], 'representative': 127524290797509688, 'size': 8}
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id: 154490995
{'aut_label': '2AL', 'centralizer': None, 'counter': 41, 'group_counter': 1781, 'group_order': 2048, 'label': '2AN', 'order': 2, 'powers': [1], 'representative': 127549036488955520, 'size': 8}
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id: 154490996
{'aut_label': '2AL', 'centralizer': None, 'counter': 42, 'group_counter': 1781, 'group_order': 2048, 'label': '2AO', 'order': 2, 'powers': [1], 'representative': 127566130191260272, 'size': 8}
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id: 154490997
{'aut_label': '2AP', 'centralizer': None, 'counter': 43, 'group_counter': 1781, 'group_order': 2048, 'label': '2AP', 'order': 2, 'powers': [1], 'representative': 127611836832683312, 'size': 8}
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id: 154490998
{'aut_label': '2AP', 'centralizer': None, 'counter': 44, 'group_counter': 1781, 'group_order': 2048, 'label': '2AQ', 'order': 2, 'powers': [1], 'representative': 127628930538667360, 'size': 8}
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id: 154490999
{'aut_label': '2AP', 'centralizer': None, 'counter': 45, 'group_counter': 1781, 'group_order': 2048, 'label': '2AR', 'order': 2, 'powers': [1], 'representative': 127653769671309926, 'size': 8}
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id: 154491000
{'aut_label': '2AP', 'centralizer': None, 'counter': 46, 'group_counter': 1781, 'group_order': 2048, 'label': '2AS', 'order': 2, 'powers': [1], 'representative': 127670863377651836, 'size': 8}
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id: 154491001
{'aut_label': '2AT', 'centralizer': None, 'counter': 47, 'group_counter': 1781, 'group_order': 2048, 'label': '2AT', 'order': 2, 'powers': [1], 'representative': 459907149103091772, 'size': 8}
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id: 154491002
{'aut_label': '2AT', 'centralizer': None, 'counter': 48, 'group_counter': 1781, 'group_order': 2048, 'label': '2AU', 'order': 2, 'powers': [1], 'representative': 459924242809071499, 'size': 8}
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id: 154491003
{'aut_label': '2AV', 'centralizer': None, 'counter': 49, 'group_counter': 1781, 'group_order': 2048, 'label': '2AV', 'order': 2, 'powers': [1], 'representative': 61223767950364230, 'size': 16}
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id: 154491005
{'aut_label': '2AV', 'centralizer': None, 'counter': 50, 'group_counter': 1781, 'group_order': 2048, 'label': '2AW', 'order': 2, 'powers': [1], 'representative': 61240861652306103, 'size': 16}
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id: 154491006
{'aut_label': '4A1', 'centralizer': None, 'counter': 51, 'group_counter': 1781, 'group_order': 2048, 'label': '4A1', 'order': 4, 'powers': [2], 'representative': 6632332767393, 'size': 1}
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id: 154491007
{'aut_label': '4A1', 'centralizer': None, 'counter': 52, 'group_counter': 1781, 'group_order': 2048, 'label': '4A-1', 'order': 4, 'powers': [2], 'representative': 13170668319993, 'size': 1}
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id: 154491008
{'aut_label': '4A1', 'centralizer': None, 'counter': 53, 'group_counter': 1781, 'group_order': 2048, 'label': '4B1', 'order': 4, 'powers': [2], 'representative': 2202864135499978066, 'size': 1}
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id: 154491009
{'aut_label': '4A1', 'centralizer': None, 'counter': 54, 'group_counter': 1781, 'group_order': 2048, 'label': '4B-1', 'order': 4, 'powers': [2], 'representative': 2202870673879035112, 'size': 1}
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id: 154491010
{'aut_label': '4C1', 'centralizer': None, 'counter': 55, 'group_counter': 1781, 'group_order': 2048, 'label': '4C1', 'order': 4, 'powers': [2], 'representative': 6409186622864727, 'size': 2}
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id: 154491011
{'aut_label': '4C1', 'centralizer': None, 'counter': 56, 'group_counter': 1781, 'group_order': 2048, 'label': '4C-1', 'order': 4, 'powers': [2], 'representative': 6415724958417327, 'size': 2}
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id: 154491012
{'aut_label': '4D1', 'centralizer': None, 'counter': 57, 'group_counter': 1781, 'group_order': 2048, 'label': '4D1', 'order': 4, 'powers': [2], 'representative': 1615729876192283059, 'size': 2}
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id: 154491013
{'aut_label': '4D1', 'centralizer': None, 'counter': 58, 'group_counter': 1781, 'group_order': 2048, 'label': '4D-1', 'order': 4, 'powers': [2], 'representative': 1615733799185989365, 'size': 2}
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id: 154491014
{'aut_label': '4E1', 'centralizer': None, 'counter': 59, 'group_counter': 1781, 'group_order': 2048, 'label': '4E1', 'order': 4, 'powers': [2], 'representative': 1628179023354655003, 'size': 2}
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id: 154491016
{'aut_label': '4E1', 'centralizer': None, 'counter': 60, 'group_counter': 1781, 'group_order': 2048, 'label': '4E-1', 'order': 4, 'powers': [2], 'representative': 1628182946348361309, 'size': 2}
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id: 154491017
{'aut_label': '4F', 'centralizer': None, 'counter': 61, 'group_counter': 1781, 'group_order': 2048, 'label': '4F', 'order': 4, 'powers': [4], 'representative': 460222311000748836, 'size': 4}
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id: 154491018
{'aut_label': '4F', 'centralizer': None, 'counter': 62, 'group_counter': 1781, 'group_order': 2048, 'label': '4G', 'order': 4, 'powers': [4], 'representative': 472671544860968892, 'size': 4}
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id: 154491019
{'aut_label': '4H', 'centralizer': None, 'counter': 63, 'group_counter': 1781, 'group_order': 2048, 'label': '4H', 'order': 4, 'powers': [4], 'representative': 460238090801670643, 'size': 4}
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id: 154491020
{'aut_label': '4H', 'centralizer': None, 'counter': 64, 'group_counter': 1781, 'group_order': 2048, 'label': '4I', 'order': 4, 'powers': [4], 'representative': 472687324661890699, 'size': 4}
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id: 154491021
{'aut_label': '4J1', 'centralizer': None, 'counter': 65, 'group_counter': 1781, 'group_order': 2048, 'label': '4J1', 'order': 4, 'powers': [2], 'representative': 69481734261207, 'size': 4}
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id: 154491022
{'aut_label': '4J1', 'centralizer': None, 'counter': 66, 'group_counter': 1781, 'group_order': 2048, 'label': '4J-1', 'order': 4, 'powers': [2], 'representative': 76020109690287, 'size': 4}
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id: 154491023
{'aut_label': '4K1', 'centralizer': None, 'counter': 67, 'group_counter': 1781, 'group_order': 2048, 'label': '4K1', 'order': 4, 'powers': [2], 'representative': 111359288509213, 'size': 4}
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id: 154491024
{'aut_label': '4K1', 'centralizer': None, 'counter': 68, 'group_counter': 1781, 'group_order': 2048, 'label': '4K-1', 'order': 4, 'powers': [2], 'representative': 117903850674399, 'size': 4}
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id: 154491025
{'aut_label': '4K1', 'centralizer': None, 'counter': 69, 'group_counter': 1781, 'group_order': 2048, 'label': '4L1', 'order': 4, 'powers': [2], 'representative': 175429186034437, 'size': 4}
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id: 154491027
{'aut_label': '4K1', 'centralizer': None, 'counter': 70, 'group_counter': 1781, 'group_order': 2048, 'label': '4L-1', 'order': 4, 'powers': [2], 'representative': 180659850479943, 'size': 4}
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id: 154491028
{'aut_label': '4M1', 'centralizer': None, 'counter': 71, 'group_counter': 1781, 'group_order': 2048, 'label': '4M1', 'order': 4, 'powers': [2], 'representative': 27436328447544733, 'size': 4}
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id: 154491029
{'aut_label': '4M1', 'centralizer': None, 'counter': 72, 'group_counter': 1781, 'group_order': 2048, 'label': '4M-1', 'order': 4, 'powers': [2], 'representative': 27442866782729439, 'size': 4}
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id: 154491030
{'aut_label': '4N1', 'centralizer': None, 'counter': 73, 'group_counter': 1781, 'group_order': 2048, 'label': '4N1', 'order': 4, 'powers': [2], 'representative': 27478167880813957, 'size': 4}
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id: 154491031
{'aut_label': '4N1', 'centralizer': None, 'counter': 74, 'group_counter': 1781, 'group_order': 2048, 'label': '4N-1', 'order': 4, 'powers': [2], 'representative': 27484706255875143, 'size': 4}
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id: 154491032
{'aut_label': '4N1', 'centralizer': None, 'counter': 75, 'group_counter': 1781, 'group_order': 2048, 'label': '4O1', 'order': 4, 'powers': [2], 'representative': 39927315041744413, 'size': 4}
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id: 154491033
{'aut_label': '4N1', 'centralizer': None, 'counter': 76, 'group_counter': 1781, 'group_order': 2048, 'label': '4O-1', 'order': 4, 'powers': [2], 'representative': 39933853416805599, 'size': 4}
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id: 154491034
{'aut_label': '4P1', 'centralizer': None, 'counter': 77, 'group_counter': 1781, 'group_order': 2048, 'label': '4P1', 'order': 4, 'powers': [2], 'representative': 426123644791505054, 'size': 4}
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id: 154491035
{'aut_label': '4P1', 'centralizer': None, 'counter': 78, 'group_counter': 1781, 'group_order': 2048, 'label': '4P-1', 'order': 4, 'powers': [2], 'representative': 426127567785579254, 'size': 4}
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id: 154491036
{'aut_label': '4P1', 'centralizer': None, 'counter': 79, 'group_counter': 1781, 'group_order': 2048, 'label': '4Q1', 'order': 4, 'powers': [2], 'representative': 438572878652808780, 'size': 4}
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id: 154491038
{'aut_label': '4P1', 'centralizer': None, 'counter': 80, 'group_counter': 1781, 'group_order': 2048, 'label': '4Q-1', 'order': 4, 'powers': [2], 'representative': 438576801646882980, 'size': 4}
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id: 154491039
{'aut_label': '4R1', 'centralizer': None, 'counter': 81, 'group_counter': 1781, 'group_order': 2048, 'label': '4R1', 'order': 4, 'powers': [3], 'representative': 460228849387512756, 'size': 4}
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id: 154491040
{'aut_label': '4R1', 'centralizer': None, 'counter': 82, 'group_counter': 1781, 'group_order': 2048, 'label': '4R-1', 'order': 4, 'powers': [3], 'representative': 460235475427124076, 'size': 4}
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id: 154491041
{'aut_label': '4R1', 'centralizer': None, 'counter': 83, 'group_counter': 1781, 'group_order': 2048, 'label': '4S1', 'order': 4, 'powers': [3], 'representative': 472678083247732812, 'size': 4}
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id: 154491042
{'aut_label': '4R1', 'centralizer': None, 'counter': 84, 'group_counter': 1781, 'group_order': 2048, 'label': '4S-1', 'order': 4, 'powers': [3], 'representative': 472684709287344132, 'size': 4}
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id: 154491043
{'aut_label': '4K1', 'centralizer': None, 'counter': 85, 'group_counter': 1781, 'group_order': 2048, 'label': '4T1', 'order': 4, 'powers': [2], 'representative': 1594638633457280923, 'size': 4}
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id: 154491044
{'aut_label': '4K1', 'centralizer': None, 'counter': 86, 'group_counter': 1781, 'group_order': 2048, 'label': '4T-1', 'order': 4, 'powers': [2], 'representative': 1594643864161602909, 'size': 4}
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id: 154491045
{'aut_label': '4M1', 'centralizer': None, 'counter': 87, 'group_counter': 1781, 'group_order': 2048, 'label': '4U1', 'order': 4, 'powers': [2], 'representative': 1594744667605041213, 'size': 4}
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id: 154491046
{'aut_label': '4M1', 'centralizer': None, 'counter': 88, 'group_counter': 1781, 'group_order': 2048, 'label': '4U-1', 'order': 4, 'powers': [2], 'representative': 1594748590599115413, 'size': 4}
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id: 154491047
{'aut_label': '4J1', 'centralizer': None, 'counter': 89, 'group_counter': 1781, 'group_order': 2048, 'label': '4V1', 'order': 4, 'powers': [2], 'representative': 1615665806296199323, 'size': 4}
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id: 154491049
{'aut_label': '4J1', 'centralizer': None, 'counter': 90, 'group_counter': 1781, 'group_order': 2048, 'label': '4V-1', 'order': 4, 'powers': [2], 'representative': 1615671043187625309, 'size': 4}
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id: 154491050
{'aut_label': '4K1', 'centralizer': None, 'counter': 91, 'group_counter': 1781, 'group_order': 2048, 'label': '4W1', 'order': 4, 'powers': [2], 'representative': 1628094005878163133, 'size': 4}
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id: 154491051
{'aut_label': '4K1', 'centralizer': None, 'counter': 92, 'group_counter': 1781, 'group_order': 2048, 'label': '4W-1', 'order': 4, 'powers': [2], 'representative': 1628099236582853013, 'size': 4}
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id: 154491052
{'aut_label': '4X', 'centralizer': None, 'counter': 93, 'group_counter': 1781, 'group_order': 2048, 'label': '4X', 'order': 4, 'powers': [7], 'representative': 203646626747492966, 'size': 8}
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id: 154491053
{'aut_label': '4X', 'centralizer': None, 'counter': 94, 'group_counter': 1781, 'group_order': 2048, 'label': '4Y', 'order': 4, 'powers': [7], 'representative': 203662412296796156, 'size': 8}
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id: 154491054
{'aut_label': '4X', 'centralizer': None, 'counter': 95, 'group_counter': 1781, 'group_order': 2048, 'label': '4Z', 'order': 4, 'powers': [7], 'representative': 203688466139802032, 'size': 8}
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id: 154491055
{'aut_label': '4X', 'centralizer': None, 'counter': 96, 'group_counter': 1781, 'group_order': 2048, 'label': '4AA', 'order': 4, 'powers': [7], 'representative': 203704251688747360, 'size': 8}
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id: 154491056
{'aut_label': '4AB', 'centralizer': None, 'counter': 97, 'group_counter': 1781, 'group_order': 2048, 'label': '4AB', 'order': 4, 'powers': [7], 'representative': 203730336507123200, 'size': 8}
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id: 154491057
{'aut_label': '4AB', 'centralizer': None, 'counter': 98, 'group_counter': 1781, 'group_order': 2048, 'label': '4AC', 'order': 4, 'powers': [7], 'representative': 203746122059727472, 'size': 8}
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id: 154491058
{'aut_label': '4AB', 'centralizer': None, 'counter': 99, 'group_counter': 1781, 'group_order': 2048, 'label': '4AD', 'order': 4, 'powers': [7], 'representative': 203751259376083736, 'size': 8}
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id: 154490849
{'aut_label': '4AB', 'centralizer': None, 'counter': 100, 'group_counter': 1781, 'group_order': 2048, 'label': '4AE', 'order': 4, 'powers': [7], 'representative': 203767044928330168, 'size': 8}
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id: 154490850
{'aut_label': '4X', 'centralizer': None, 'counter': 101, 'group_counter': 1781, 'group_order': 2048, 'label': '4AF', 'order': 4, 'powers': [7], 'representative': 222141238732333232, 'size': 8}
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id: 154490851
{'aut_label': '4X', 'centralizer': None, 'counter': 102, 'group_counter': 1781, 'group_order': 2048, 'label': '4AG', 'order': 4, 'powers': [7], 'representative': 222156937581988960, 'size': 8}
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id: 154490852
{'aut_label': '4X', 'centralizer': None, 'counter': 103, 'group_counter': 1781, 'group_order': 2048, 'label': '4AH', 'order': 4, 'powers': [7], 'representative': 222183078125368166, 'size': 8}
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id: 154490853
{'aut_label': '4X', 'centralizer': None, 'counter': 104, 'group_counter': 1781, 'group_order': 2048, 'label': '4AI', 'order': 4, 'powers': [7], 'representative': 222198776975381756, 'size': 8}
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id: 154490854
{'aut_label': '4AB', 'centralizer': None, 'counter': 105, 'group_counter': 1781, 'group_order': 2048, 'label': '4AJ', 'order': 4, 'powers': [7], 'representative': 222224948491605656, 'size': 8}
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id: 154490855
{'aut_label': '4AB', 'centralizer': None, 'counter': 106, 'group_counter': 1781, 'group_order': 2048, 'label': '4AK', 'order': 4, 'powers': [7], 'representative': 222240647344562488, 'size': 8}
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id: 154490856
{'aut_label': '4AB', 'centralizer': None, 'counter': 107, 'group_counter': 1781, 'group_order': 2048, 'label': '4AL', 'order': 4, 'powers': [7], 'representative': 222245871362007680, 'size': 8}
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id: 154490857
{'aut_label': '4AB', 'centralizer': None, 'counter': 108, 'group_counter': 1781, 'group_order': 2048, 'label': '4AM', 'order': 4, 'powers': [7], 'representative': 222261570215322352, 'size': 8}
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id: 154490858
{'aut_label': '4AN', 'centralizer': None, 'counter': 109, 'group_counter': 1781, 'group_order': 2048, 'label': '4AN', 'order': 4, 'powers': [4], 'representative': 230656290667253120, 'size': 8}
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id: 154490860
{'aut_label': '4AN', 'centralizer': None, 'counter': 110, 'group_counter': 1781, 'group_order': 2048, 'label': '4AO', 'order': 4, 'powers': [4], 'representative': 230673384369557872, 'size': 8}
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id: 154490861
{'aut_label': '4AN', 'centralizer': None, 'counter': 111, 'group_counter': 1781, 'group_order': 2048, 'label': '4AP', 'order': 4, 'powers': [4], 'representative': 230698130059204376, 'size': 8}
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id: 154490862
{'aut_label': '4AN', 'centralizer': None, 'counter': 112, 'group_counter': 1781, 'group_order': 2048, 'label': '4AQ', 'order': 4, 'powers': [4], 'representative': 230715223761151288, 'size': 8}
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id: 154490863
{'aut_label': '4AR', 'centralizer': None, 'counter': 113, 'group_counter': 1781, 'group_order': 2048, 'label': '4AR', 'order': 4, 'powers': [4], 'representative': 230761017103305446, 'size': 8}
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id: 154490864
{'aut_label': '4AR', 'centralizer': None, 'counter': 114, 'group_counter': 1781, 'group_order': 2048, 'label': '4AS', 'order': 4, 'powers': [4], 'representative': 230778110809647356, 'size': 8}
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id: 154490865
{'aut_label': '4AR', 'centralizer': None, 'counter': 115, 'group_counter': 1781, 'group_order': 2048, 'label': '4AT', 'order': 4, 'powers': [4], 'representative': 230802856535490992, 'size': 8}
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id: 154490866
{'aut_label': '4AR', 'centralizer': None, 'counter': 116, 'group_counter': 1781, 'group_order': 2048, 'label': '4AU', 'order': 4, 'powers': [4], 'representative': 230819950241475040, 'size': 8}
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id: 154490867
{'aut_label': '4AV', 'centralizer': None, 'counter': 117, 'group_counter': 1781, 'group_order': 2048, 'label': '4AV', 'order': 4, 'powers': [7], 'representative': 426327629050525476, 'size': 8}
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id: 154490868
{'aut_label': '4AV', 'centralizer': None, 'counter': 118, 'group_counter': 1781, 'group_order': 2048, 'label': '4AW', 'order': 4, 'powers': [7], 'representative': 426343415078427763, 'size': 8}
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id: 154490869
{'aut_label': '4AV', 'centralizer': None, 'counter': 119, 'group_counter': 1781, 'group_order': 2048, 'label': '4AX', 'order': 4, 'powers': [7], 'representative': 426390477967861692, 'size': 8}
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id: 154490871
{'aut_label': '4AV', 'centralizer': None, 'counter': 120, 'group_counter': 1781, 'group_order': 2048, 'label': '4AY', 'order': 4, 'powers': [7], 'representative': 426406263955887499, 'size': 8}
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id: 154490872
{'aut_label': '4AZ', 'centralizer': None, 'counter': 121, 'group_counter': 1781, 'group_order': 2048, 'label': '4AZ', 'order': 4, 'powers': [4], 'representative': 426432268302408540, 'size': 8}
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id: 154490873
{'aut_label': '4AZ', 'centralizer': None, 'counter': 122, 'group_counter': 1781, 'group_order': 2048, 'label': '4BA', 'order': 4, 'powers': [4], 'representative': 426448048102962453, 'size': 8}
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id: 154490874
{'aut_label': '4AV', 'centralizer': None, 'counter': 123, 'group_counter': 1781, 'group_order': 2048, 'label': '4BB', 'order': 4, 'powers': [7], 'representative': 438776869616767932, 'size': 8}
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id: 154490875
{'aut_label': '4AV', 'centralizer': None, 'counter': 124, 'group_counter': 1781, 'group_order': 2048, 'label': '4BC', 'order': 4, 'powers': [7], 'representative': 438792655644670219, 'size': 8}
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id: 154490876
{'aut_label': '4AV', 'centralizer': None, 'counter': 125, 'group_counter': 1781, 'group_order': 2048, 'label': '4BD', 'order': 4, 'powers': [7], 'representative': 438839625130233636, 'size': 8}
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id: 154490877
{'aut_label': '4AV', 'centralizer': None, 'counter': 126, 'group_counter': 1781, 'group_order': 2048, 'label': '4BE', 'order': 4, 'powers': [7], 'representative': 438855411118259443, 'size': 8}
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id: 154490878
{'aut_label': '4BF1', 'centralizer': None, 'counter': 127, 'group_counter': 1781, 'group_order': 2048, 'label': '4BF1', 'order': 4, 'powers': [2], 'representative': 6513906872538757, 'size': 8}
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id: 154490879
{'aut_label': '4BF1', 'centralizer': None, 'counter': 128, 'group_counter': 1781, 'group_order': 2048, 'label': '4BF-1', 'order': 4, 'powers': [2], 'representative': 6520451434703943, 'size': 8}
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id: 154490880
{'aut_label': '4BF1', 'centralizer': None, 'counter': 129, 'group_counter': 1781, 'group_order': 2048, 'label': '4BG1', 'order': 4, 'powers': [2], 'representative': 6577976768622493, 'size': 8}
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id: 154490882
{'aut_label': '4BF1', 'centralizer': None, 'counter': 130, 'group_counter': 1781, 'group_order': 2048, 'label': '4BG-1', 'order': 4, 'powers': [2], 'representative': 6583207433067999, 'size': 8}
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id: 154490883
{'aut_label': '4BH1', 'centralizer': None, 'counter': 131, 'group_counter': 1781, 'group_order': 2048, 'label': '4BH1', 'order': 4, 'powers': [2], 'representative': 127513735481963696, 'size': 8}
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id: 154490884
{'aut_label': '4BH1', 'centralizer': None, 'counter': 132, 'group_counter': 1781, 'group_order': 2048, 'label': '4BH-1', 'order': 4, 'powers': [2], 'representative': 127518972856382098, 'size': 8}
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id: 154490885
{'aut_label': '4BH1', 'centralizer': None, 'counter': 133, 'group_counter': 1781, 'group_order': 2048, 'label': '4BI1', 'order': 4, 'powers': [2], 'representative': 127555574875714280, 'size': 8}
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id: 154490886
{'aut_label': '4BH1', 'centralizer': None, 'counter': 134, 'group_counter': 1781, 'group_order': 2048, 'label': '4BI-1', 'order': 4, 'powers': [2], 'representative': 127560812249774864, 'size': 8}
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id: 154490887
{'aut_label': '4BJ1', 'centralizer': None, 'counter': 135, 'group_counter': 1781, 'group_order': 2048, 'label': '4BJ1', 'order': 4, 'powers': [2], 'representative': 127618375219447232, 'size': 8}
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id: 154490888
{'aut_label': '4BJ1', 'centralizer': None, 'counter': 136, 'group_counter': 1781, 'group_order': 2048, 'label': '4BJ-1', 'order': 4, 'powers': [2], 'representative': 127624914080811992, 'size': 8}
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id: 154490889
{'aut_label': '4BJ1', 'centralizer': None, 'counter': 137, 'group_counter': 1781, 'group_order': 2048, 'label': '4BK1', 'order': 4, 'powers': [2], 'representative': 127660308058073846, 'size': 8}
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id: 154490890
{'aut_label': '4BJ1', 'centralizer': None, 'counter': 138, 'group_counter': 1781, 'group_order': 2048, 'label': '4BK-1', 'order': 4, 'powers': [2], 'representative': 127666846919796446, 'size': 8}
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id: 154490891
{'aut_label': '4BL1', 'centralizer': None, 'counter': 139, 'group_counter': 1781, 'group_order': 2048, 'label': '4BL1', 'order': 4, 'powers': [8], 'representative': 203653165134256886, 'size': 8}
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id: 154490893
{'aut_label': '4BL1', 'centralizer': None, 'counter': 140, 'group_counter': 1781, 'group_order': 2048, 'label': '4BL-1', 'order': 4, 'powers': [8], 'representative': 203657094355305566, 'size': 8}
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id: 154490894
{'aut_label': '4BL1', 'centralizer': None, 'counter': 141, 'group_counter': 1781, 'group_order': 2048, 'label': '4BM1', 'order': 4, 'powers': [8], 'representative': 203695004526565952, 'size': 8}
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id: 154490895
{'aut_label': '4BL1', 'centralizer': None, 'counter': 142, 'group_counter': 1781, 'group_order': 2048, 'label': '4BM-1', 'order': 4, 'powers': [8], 'representative': 203698933747256792, 'size': 8}
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id: 154490896
{'aut_label': '4BN1', 'centralizer': None, 'counter': 143, 'group_counter': 1781, 'group_order': 2048, 'label': '4BN1', 'order': 4, 'powers': [8], 'representative': 203736874893881960, 'size': 8}
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id: 154490897
{'aut_label': '4BN1', 'centralizer': None, 'counter': 144, 'group_counter': 1781, 'group_order': 2048, 'label': '4BN-1', 'order': 4, 'powers': [8], 'representative': 203742105601877264, 'size': 8}
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id: 154490898
{'aut_label': '4BN1', 'centralizer': None, 'counter': 145, 'group_counter': 1781, 'group_order': 2048, 'label': '4BO1', 'order': 4, 'powers': [8], 'representative': 203757797762484656, 'size': 8}
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id: 154490899
{'aut_label': '4BN1', 'centralizer': None, 'counter': 146, 'group_counter': 1781, 'group_order': 2048, 'label': '4BO-1', 'order': 4, 'powers': [8], 'representative': 203763028470837778, 'size': 8}
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id: 154490900
{'aut_label': '4BL1', 'centralizer': None, 'counter': 147, 'group_counter': 1781, 'group_order': 2048, 'label': '4BP1', 'order': 4, 'powers': [8], 'representative': 222147777119097152, 'size': 8}
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id: 154490901
{'aut_label': '4BL1', 'centralizer': None, 'counter': 148, 'group_counter': 1781, 'group_order': 2048, 'label': '4BP-1', 'order': 4, 'powers': [8], 'representative': 222151706339787992, 'size': 8}
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id: 154490902
{'aut_label': '4BL1', 'centralizer': None, 'counter': 149, 'group_counter': 1781, 'group_order': 2048, 'label': '4BQ1', 'order': 4, 'powers': [8], 'representative': 222189616512132086, 'size': 8}
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id: 154490904
{'aut_label': '4BL1', 'centralizer': None, 'counter': 150, 'group_counter': 1781, 'group_order': 2048, 'label': '4BQ-1', 'order': 4, 'powers': [8], 'representative': 222193545733180766, 'size': 8}
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id: 154490905
{'aut_label': '4BN1', 'centralizer': None, 'counter': 151, 'group_counter': 1781, 'group_order': 2048, 'label': '4BR1', 'order': 4, 'powers': [8], 'representative': 222231486878006576, 'size': 8}
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id: 154490906
{'aut_label': '4BN1', 'centralizer': None, 'counter': 152, 'group_counter': 1781, 'group_order': 2048, 'label': '4BR-1', 'order': 4, 'powers': [8], 'representative': 222236717586359698, 'size': 8}
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id: 154490907
{'aut_label': '4BN1', 'centralizer': None, 'counter': 153, 'group_counter': 1781, 'group_order': 2048, 'label': '4BS1', 'order': 4, 'powers': [8], 'representative': 222252409748766440, 'size': 8}
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id: 154490908
{'aut_label': '4BN1', 'centralizer': None, 'counter': 154, 'group_counter': 1781, 'group_order': 2048, 'label': '4BS-1', 'order': 4, 'powers': [8], 'representative': 222257640456761744, 'size': 8}
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id: 154490909
{'aut_label': '4BT1', 'centralizer': None, 'counter': 155, 'group_counter': 1781, 'group_order': 2048, 'label': '4BT1', 'order': 4, 'powers': [3], 'representative': 230662829054011880, 'size': 8}
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id: 154490910
{'aut_label': '4BT1', 'centralizer': None, 'counter': 156, 'group_counter': 1781, 'group_order': 2048, 'label': '4BT-1', 'order': 4, 'powers': [3], 'representative': 230668153127362064, 'size': 8}
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id: 154490911
{'aut_label': '4BT1', 'centralizer': None, 'counter': 157, 'group_counter': 1781, 'group_order': 2048, 'label': '4BU1', 'order': 4, 'powers': [3], 'representative': 230704668445605296, 'size': 8}
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id: 154490912
{'aut_label': '4BT1', 'centralizer': None, 'counter': 158, 'group_counter': 1781, 'group_order': 2048, 'label': '4BU-1', 'order': 4, 'powers': [3], 'representative': 230709992519313298, 'size': 8}
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id: 154490913
{'aut_label': '4BV1', 'centralizer': None, 'counter': 159, 'group_counter': 1781, 'group_order': 2048, 'label': '4BV1', 'order': 4, 'powers': [3], 'representative': 230767555490069366, 'size': 8}
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id: 154490915
{'aut_label': '4BV1', 'centralizer': None, 'counter': 160, 'group_counter': 1781, 'group_order': 2048, 'label': '4BV-1', 'order': 4, 'powers': [3], 'representative': 230774181051081566, 'size': 8}
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id: 154490916
{'aut_label': '4BV1', 'centralizer': None, 'counter': 161, 'group_counter': 1781, 'group_order': 2048, 'label': '4BW1', 'order': 4, 'powers': [3], 'representative': 230809394922254912, 'size': 8}
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id: 154490917
{'aut_label': '4BV1', 'centralizer': None, 'counter': 162, 'group_counter': 1781, 'group_order': 2048, 'label': '4BW-1', 'order': 4, 'powers': [3], 'representative': 230816020482909272, 'size': 8}
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id: 154490918
{'aut_label': '4BX1', 'centralizer': None, 'counter': 163, 'group_counter': 1781, 'group_order': 2048, 'label': '4BX1', 'order': 4, 'powers': [8], 'representative': 426334167433620276, 'size': 8}
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id: 154490919
{'aut_label': '4BX1', 'centralizer': None, 'counter': 164, 'group_counter': 1781, 'group_order': 2048, 'label': '4BX-1', 'order': 4, 'powers': [8], 'representative': 426336782756587116, 'size': 8}
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id: 154490920
{'aut_label': '4BX1', 'centralizer': None, 'counter': 165, 'group_counter': 1781, 'group_order': 2048, 'label': '4BY1', 'order': 4, 'powers': [8], 'representative': 426397016354625612, 'size': 8}
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id: 154490921
{'aut_label': '4BX1', 'centralizer': None, 'counter': 166, 'group_counter': 1781, 'group_order': 2048, 'label': '4BY-1', 'order': 4, 'powers': [8], 'representative': 426400945575312132, 'size': 8}
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id: 154490922
{'aut_label': '4BZ1', 'centralizer': None, 'counter': 167, 'group_counter': 1781, 'group_order': 2048, 'label': '4BZ1', 'order': 4, 'powers': [3], 'representative': 426438806688804300, 'size': 8}
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id: 154490923
{'aut_label': '4BZ1', 'centralizer': None, 'counter': 168, 'group_counter': 1781, 'group_order': 2048, 'label': '4BZ-1', 'order': 4, 'powers': [3], 'representative': 426442729722754980, 'size': 8}
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id: 154490924
{'aut_label': '4BX1', 'centralizer': None, 'counter': 169, 'group_counter': 1781, 'group_order': 2048, 'label': '4CA1', 'order': 4, 'powers': [8], 'representative': 438783407999862732, 'size': 8}
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id: 154490926
{'aut_label': '4BX1', 'centralizer': None, 'counter': 170, 'group_counter': 1781, 'group_order': 2048, 'label': '4CA-1', 'order': 4, 'powers': [8], 'representative': 438786023322829572, 'size': 8}
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id: 154490927
{'aut_label': '4BX1', 'centralizer': None, 'counter': 171, 'group_counter': 1781, 'group_order': 2048, 'label': '4CB1', 'order': 4, 'powers': [8], 'representative': 438846163516997556, 'size': 8}
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id: 154490928
{'aut_label': '4BX1', 'centralizer': None, 'counter': 172, 'group_counter': 1781, 'group_order': 2048, 'label': '4CB-1', 'order': 4, 'powers': [8], 'representative': 438850092737684076, 'size': 8}
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id: 154490929
{'aut_label': '4CC1', 'centralizer': None, 'counter': 173, 'group_counter': 1781, 'group_order': 2048, 'label': '4CC1', 'order': 4, 'powers': [2], 'representative': 459913687489855692, 'size': 8}
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id: 154490930
{'aut_label': '4CC1', 'centralizer': None, 'counter': 174, 'group_counter': 1781, 'group_order': 2048, 'label': '4CC-1', 'order': 4, 'powers': [2], 'representative': 459920313489590532, 'size': 8}
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id: 154490931
{'aut_label': '4CD', 'centralizer': None, 'counter': 175, 'group_counter': 1781, 'group_order': 2048, 'label': '4CD', 'order': 4, 'powers': [9], 'representative': 61287837684275886, 'size': 16}
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id: 154490932
{'aut_label': '4CD', 'centralizer': None, 'counter': 176, 'group_counter': 1781, 'group_order': 2048, 'label': '4CE', 'order': 4, 'powers': [9], 'representative': 61303617488498079, 'size': 16}
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id: 154490933
{'aut_label': '4CD', 'centralizer': None, 'counter': 177, 'group_counter': 1781, 'group_order': 2048, 'label': '4CF', 'order': 4, 'powers': [9], 'representative': 392326010690373926, 'size': 16}
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id: 154490934
{'aut_label': '4CD', 'centralizer': None, 'counter': 178, 'group_counter': 1781, 'group_order': 2048, 'label': '4CG', 'order': 4, 'powers': [9], 'representative': 392343016742648279, 'size': 16}
-
id: 154490935
{'aut_label': '4CH', 'centralizer': None, 'counter': 179, 'group_counter': 1781, 'group_order': 2048, 'label': '4CH', 'order': 4, 'powers': [4], 'representative': 392641172787539312, 'size': 16}
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id: 154490937
{'aut_label': '4CH', 'centralizer': None, 'counter': 180, 'group_counter': 1781, 'group_order': 2048, 'label': '4CI', 'order': 4, 'powers': [4], 'representative': 392656864942093985, 'size': 16}
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id: 154490938
{'aut_label': '4CJ1', 'centralizer': None, 'counter': 181, 'group_counter': 1781, 'group_order': 2048, 'label': '4CJ1', 'order': 4, 'powers': [2], 'representative': 61230312567409711, 'size': 16}
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id: 154490939
{'aut_label': '4CJ1', 'centralizer': None, 'counter': 182, 'group_counter': 1781, 'group_order': 2048, 'label': '4CJ-1', 'order': 4, 'powers': [2], 'representative': 61234235601359677, 'size': 16}
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id: 154490940
{'aut_label': '4CK1', 'centralizer': None, 'counter': 183, 'group_counter': 1781, 'group_order': 2048, 'label': '4CK1', 'order': 4, 'powers': [10], 'representative': 61293068443478167, 'size': 16}
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id: 154490941
{'aut_label': '4CK1', 'centralizer': None, 'counter': 184, 'group_counter': 1781, 'group_order': 2048, 'label': '4CK-1', 'order': 4, 'powers': [10], 'representative': 61296991437551653, 'size': 16}
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id: 154490942
{'aut_label': '4CK1', 'centralizer': None, 'counter': 185, 'group_counter': 1781, 'group_order': 2048, 'label': '4CL1', 'order': 4, 'powers': [10], 'representative': 392329933742916806, 'size': 16}
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id: 154490943
{'aut_label': '4CK1', 'centralizer': None, 'counter': 186, 'group_counter': 1781, 'group_order': 2048, 'label': '4CL-1', 'order': 4, 'powers': [10], 'representative': 392336472117977278, 'size': 16}
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id: 154490944
{'aut_label': '4CM1', 'centralizer': None, 'counter': 187, 'group_counter': 1781, 'group_order': 2048, 'label': '4CM1', 'order': 4, 'powers': [3], 'representative': 392645095840082192, 'size': 16}
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id: 154490945
{'aut_label': '4CM1', 'centralizer': None, 'counter': 188, 'group_counter': 1781, 'group_order': 2048, 'label': '4CM-1', 'order': 4, 'powers': [3], 'representative': 392651634175266184, 'size': 16}
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id: 154490946
{'aut_label': '4CN', 'centralizer': None, 'counter': 189, 'group_counter': 1781, 'group_order': 2048, 'label': '4CN', 'order': 4, 'powers': [27], 'representative': 61329714403480230, 'size': 32}
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id: 154490948
{'aut_label': '4CN', 'centralizer': None, 'counter': 190, 'group_counter': 1781, 'group_order': 2048, 'label': '4CO', 'order': 4, 'powers': [27], 'representative': 61345500431381677, 'size': 32}
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id: 154490949
{'aut_label': '4CN', 'centralizer': None, 'counter': 191, 'group_counter': 1781, 'group_order': 2048, 'label': '4CP', 'order': 4, 'powers': [28], 'representative': 61371553676805006, 'size': 32}
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id: 154490950
{'aut_label': '4CN', 'centralizer': None, 'counter': 192, 'group_counter': 1781, 'group_order': 2048, 'label': '4CQ', 'order': 4, 'powers': [28], 'representative': 61387339664829973, 'size': 32}
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id: 154490951
{'aut_label': '4CR', 'centralizer': None, 'counter': 193, 'group_counter': 1781, 'group_order': 2048, 'label': '4CR', 'order': 4, 'powers': [29], 'representative': 136022235132501776, 'size': 32}
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id: 154490952
{'aut_label': '4CR', 'centralizer': None, 'counter': 194, 'group_counter': 1781, 'group_order': 2048, 'label': '4CS', 'order': 4, 'powers': [29], 'representative': 136039328834448688, 'size': 32}
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id: 154490953
{'aut_label': '4CR', 'centralizer': None, 'counter': 195, 'group_counter': 1781, 'group_order': 2048, 'label': '4CT', 'order': 4, 'powers': [30], 'representative': 136064167813688840, 'size': 32}
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id: 154490954
{'aut_label': '4CR', 'centralizer': None, 'counter': 196, 'group_counter': 1781, 'group_order': 2048, 'label': '4CU', 'order': 4, 'powers': [30], 'representative': 136081261515993592, 'size': 32}
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id: 154490955
{'aut_label': '4CV1', 'centralizer': None, 'counter': 197, 'group_counter': 1781, 'group_order': 2048, 'label': '4CV1', 'order': 4, 'powers': [31], 'representative': 61334945159381551, 'size': 32}
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id: 154490956
{'aut_label': '4CV1', 'centralizer': None, 'counter': 198, 'group_counter': 1781, 'group_order': 2048, 'label': '4CV-1', 'order': 4, 'powers': [31], 'representative': 61338874383736477, 'size': 32}
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id: 154490957
{'aut_label': '4CV1', 'centralizer': None, 'counter': 199, 'group_counter': 1781, 'group_order': 2048, 'label': '4CW1', 'order': 4, 'powers': [32], 'representative': 61378098294218647, 'size': 32}
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id: 154490960
{'aut_label': '4CV1', 'centralizer': None, 'counter': 200, 'group_counter': 1781, 'group_order': 2048, 'label': '4CW-1', 'order': 4, 'powers': [32], 'representative': 61380713613515653, 'size': 32}
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id: 154490961
{'aut_label': '4CX1', 'centralizer': None, 'counter': 201, 'group_counter': 1781, 'group_order': 2048, 'label': '4CX1', 'order': 4, 'powers': [33], 'representative': 136027466330794018, 'size': 32}
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id: 154490962
{'aut_label': '4CX1', 'centralizer': None, 'counter': 202, 'group_counter': 1781, 'group_order': 2048, 'label': '4CX-1', 'order': 4, 'powers': [33], 'representative': 136032790404502042, 'size': 32}
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id: 154490963
{'aut_label': '4CX1', 'centralizer': None, 'counter': 203, 'group_counter': 1781, 'group_order': 2048, 'label': '4CY1', 'order': 4, 'powers': [34], 'representative': 136069399012338944, 'size': 32}
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id: 154490964
{'aut_label': '4CX1', 'centralizer': None, 'counter': 204, 'group_counter': 1781, 'group_order': 2048, 'label': '4CY-1', 'order': 4, 'powers': [34], 'representative': 136074723085689106, 'size': 32}
-
id: 154490965
{'aut_label': '8A', 'centralizer': None, 'counter': 205, 'group_counter': 1781, 'group_order': 2048, 'label': '8A', 'order': 8, 'powers': [61], 'representative': 136126967278077084, 'size': 32}
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id: 154490966
{'aut_label': '8A', 'centralizer': None, 'counter': 206, 'group_counter': 1781, 'group_order': 2048, 'label': '8B', 'order': 8, 'powers': [61], 'representative': 136144060984061154, 'size': 32}
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id: 154490967
{'aut_label': '8A', 'centralizer': None, 'counter': 207, 'group_counter': 1781, 'group_order': 2048, 'label': '8C', 'order': 8, 'powers': [62], 'representative': 136168806590194688, 'size': 32}
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id: 154490968
{'aut_label': '8A', 'centralizer': None, 'counter': 208, 'group_counter': 1781, 'group_order': 2048, 'label': '8D', 'order': 8, 'powers': [62], 'representative': 136185900296536576, 'size': 32}
-
id: 154490969
{'aut_label': '8E1', 'centralizer': None, 'counter': 209, 'group_counter': 1781, 'group_order': 2048, 'label': '8E1', 'order': 8, 'powers': [63], 'representative': 136132198476732348, 'size': 32}
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id: 154490971
{'aut_label': '8E1', 'centralizer': None, 'counter': 210, 'group_counter': 1781, 'group_order': 2048, 'label': '8E-1', 'order': 8, 'powers': [63], 'representative': 136138824037386708, 'size': 32}
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id: 154490972
{'aut_label': '8E1', 'centralizer': None, 'counter': 211, 'group_counter': 1781, 'group_order': 2048, 'label': '8F1', 'order': 8, 'powers': [64], 'representative': 136174037788849930, 'size': 32}
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id: 154490973
{'aut_label': '8E1', 'centralizer': None, 'counter': 212, 'group_counter': 1781, 'group_order': 2048, 'label': '8F-1', 'order': 8, 'powers': [64], 'representative': 136180663349862130, 'size': 32}
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group 2048.cqm does not appear in gps_qchar
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group 2048.cqm does not appear in gps_char
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gps_subgroup_search • Show schema
Hide schema
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id: 164426061
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 2048, 'counter': 1, 'cyclic': False, 'direct': None, 'hall': 2, 'label': '2048.cqm.1.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1.A', 'outer_equivalence': False, 'perfect': False, 'proper': False, 'quotient': '1.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 1, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_1', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '2048.cqm', 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': '(C_4\\times D_4^2).D_4', 'supersolvable': True, 'sylow': 2}
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id: 164427029
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': True, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 2, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.2._.A', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2.C_2^6.C_2^3', 'supersolvable': True, 'sylow': 0}
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id: 164427140
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': True, 'centralizer_order': None, 'characteristic': True, 'core_order': 1024, 'counter': 3, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.2._.B', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2.C_2^6.C_2^3', 'supersolvable': True, 'sylow': 0}
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id: 164427251
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': True, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 4, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.2._.C', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.C', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^4.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
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id: 164427362
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': True, 'centralizer_order': None, 'characteristic': True, 'core_order': 1024, 'counter': 5, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.2._.D', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.D', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2.C_2^6.C_2^3', 'supersolvable': True, 'sylow': 0}
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id: 164427473
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': True, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 6, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.2._.E', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.E', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2.C_2^6.C_2^3', 'supersolvable': True, 'sylow': 0}
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id: 164427584
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': True, 'centralizer_order': None, 'characteristic': True, 'core_order': 1024, 'counter': 7, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.2._.F', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.F', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2.C_2^6.C_2^3', 'supersolvable': True, 'sylow': 0}
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id: 164427695
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': True, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 8, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.2._.G', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.G', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^4.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164427806
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': True, 'centralizer_order': None, 'characteristic': True, 'core_order': 1024, 'counter': 9, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.2._.H', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.H', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^4.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164426062
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': True, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 10, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.2._.I', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.I', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2.C_2^6.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 164426173
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': True, 'centralizer_order': None, 'characteristic': True, 'core_order': 1024, 'counter': 11, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.2._.J', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.J', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2.C_2^6.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 164426284
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': True, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 12, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.2._.K', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.K', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^4.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426395
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': True, 'centralizer_order': None, 'characteristic': True, 'core_order': 1024, 'counter': 13, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.2._.L', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.L', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2.C_2^6.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 164426506
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': True, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 14, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.2._.M', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.M', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2.C_2^6.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 164426617
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': True, 'centralizer_order': None, 'characteristic': True, 'core_order': 1024, 'counter': 15, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.2._.N', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.N', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^4.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164426728
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': True, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 16, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.2._.O', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.O', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^4.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426839
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': True, 'centralizer_order': None, 'characteristic': True, 'core_order': 1024, 'counter': 17, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.2._.P', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.P', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1024.dhz', 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^7:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426950
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 18, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.2._.Q', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.Q', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2.C_2^6.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 164427018
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 1024, 'counter': 19, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.2._.R', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.R', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2.C_2^6.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 164427030
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 20, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.2._.S', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.S', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': '(C_2^3\\times D_4).C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 164427041
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 1024, 'counter': 21, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.2._.T', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.T', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 164427052
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 22, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.2._.U', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.U', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2.C_2^6.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 164427063
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 1024, 'counter': 23, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.2._.V', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.V', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1024.djr', 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6:C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 164427074
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 24, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.2._.W', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.W', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': '(C_2^3\\times D_4).C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 164427085
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 1024, 'counter': 25, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.2._.X', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.X', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1024.djp', 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 164427096
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 26, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.2._.Y', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.Y', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2.C_2^6.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 164427107
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 1024, 'counter': 27, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.2._.Z', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.Z', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2.C_2^6.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 164427118
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 28, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.2._.BA', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.BA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': '(C_2^3\\times D_4).C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 164427129
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 1024, 'counter': 29, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.2._.BB', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.BB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^3.C_2^5.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164427141
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 30, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.2._.BC', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.BC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2.C_2^6.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 164427152
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 1024, 'counter': 31, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.2._.BD', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.BD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^7.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 164427163
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 32, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.2._.BE', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.BE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': '(C_2^3\\times D_4).C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 164427174
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 512, 'counter': 33, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6344809', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^6:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427185
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 34, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.400755', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': '(C_2^2\\times D_4).C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 164427196
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 35, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.C', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.275273', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 164427207
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 36, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.D', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.53789', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164427218
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 512, 'counter': 37, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.E', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.400545', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^7:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427229
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 38, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.F', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7530058', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'D_4^2:C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 164427240
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 39, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.G', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.53857', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164427252
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 40, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.H', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.401545', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164427263
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 512, 'counter': 41, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.I', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.266697', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 164427274
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 42, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.J', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.400755', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': '(C_2^2\\times D_4).C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 164427285
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 43, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.K', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.271709', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 164427296
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 44, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.L', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.53789', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164427307
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 512, 'counter': 45, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.M', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.400545', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^7:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427318
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 46, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.N', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.400778', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164427329
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 47, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.O', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.O', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.53857', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164427340
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 48, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.P', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.P', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.401771', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^3.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164427351
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 512, 'counter': 49, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.Q', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6344822', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 164427363
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 50, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.R', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.R', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.400755', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': '(C_2^2\\times D_4).C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 164427374
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 51, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.S', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.S', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.275268', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 164427385
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 52, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.T', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.T', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.53810', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164427396
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 512, 'counter': 53, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.U', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.U', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.400584', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^4.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164427407
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 54, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.V', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.V', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7530058', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'D_4^2:C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 164427418
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 55, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.W', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.W', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.53874', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164427429
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 56, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.X', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.X', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.401549', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164427440
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 512, 'counter': 57, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.Y', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.266745', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 164427451
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 58, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.Z', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.400755', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': '(C_2^2\\times D_4).C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 164427462
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 59, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.BA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.BA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.271696', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 164427474
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 60, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.BB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.BB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.53810', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164427485
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 512, 'counter': 61, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.BC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.BC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.400584', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^4.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164427496
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 62, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.BD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.BD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.400778', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164427507
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 63, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.BE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.BE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.53874', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164427518
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 64, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.BF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.BF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.401775', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^3.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164427529
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 512, 'counter': 65, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.BG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.BG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.266748', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 164427540
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 66, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.BH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.BH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.53850', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^3.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164427551
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 67, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.BI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.BI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.275273', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 164427562
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 68, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.BJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.BJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.53810', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164427573
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 512, 'counter': 69, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.BK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.BK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.53653', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164427585
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 70, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.BL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.BL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.401796', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^3.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164427596
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 71, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.BM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.BM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.53857', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164427607
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 72, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.BN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.BN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.401549', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164427618
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 512, 'counter': 73, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.BO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.BO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.280882', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 164427629
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 74, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.BP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.BP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.53850', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^3.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164427640
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 75, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.BQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.BQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.271709', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 164427651
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 76, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.BR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.BR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.53810', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164427662
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 512, 'counter': 77, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.BS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.BS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.53653', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164427673
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 78, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.BT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.BT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.401570', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^3.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164427684
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 79, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.BU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.BU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.53857', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164427696
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 80, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.BV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.BV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.401775', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^3.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164427707
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 512, 'counter': 81, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.BW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.BW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.266745', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 164427718
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 82, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.BX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.BX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.53850', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^3.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164427729
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 83, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.BY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.BY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.275268', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 164427740
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 84, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.BZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.BZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.53789', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164427751
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 512, 'counter': 85, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.CA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.CA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.53671', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164427762
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 86, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.CB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.CB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.401796', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^3.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164427773
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 87, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.CC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.CC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.53874', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164427784
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 88, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.CD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.CD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.401545', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164427795
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 512, 'counter': 89, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.CE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.CE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.280833', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 164427807
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 90, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.CF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.CF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.53850', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^3.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164427818
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 91, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.CG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.CG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.271696', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 164427829
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 92, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.CH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.CH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.53789', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164427840
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 512, 'counter': 93, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.CI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.CI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.53671', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164427851
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 94, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.CJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.CJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.401570', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^3.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164427862
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 95, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.CK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.CK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.53874', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164427873
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 96, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.CL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.CL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.401771', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^3.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164427884
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 512, 'counter': 97, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.CM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.CM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6344656', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^3.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164427895
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 98, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.CN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.CN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.400755', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': '(C_2^2\\times D_4).C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 164427906
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 99, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.CO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.CO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.275282', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^3.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164426063
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 100, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.CP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.CP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.53850', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^3.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164426074
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 512, 'counter': 101, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.CQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.CQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.400590', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^4.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164426085
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 102, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.CR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.CR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7530058', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'D_4^2:C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 164426096
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 103, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.CS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.CS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.53898', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164426107
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 104, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.CT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.CT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.401570', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^3.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164426118
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 512, 'counter': 105, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.CU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.CU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.266754', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^3.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164426129
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 106, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.CV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.CV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.400755', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': '(C_2^2\\times D_4).C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 164426140
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 107, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.CW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.CW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.271731', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^3.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164426151
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 108, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.CX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.CX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.53850', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^3.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164426162
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 512, 'counter': 109, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.CY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.CY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.400590', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^4.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164426174
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 110, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.CZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.CZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.400778', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164426185
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 111, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.DA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.DA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.53898', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164426196
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 112, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.DB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.DB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.401796', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^3.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426207
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 512, 'counter': 113, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.DC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.DC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.266754', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^3.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164426218
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 114, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.DD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.DD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.53789', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164426229
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 115, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.DE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.DE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.275282', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^3.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164426240
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 116, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.DF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.DF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.53810', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164426251
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 512, 'counter': 117, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.DG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.DG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.53675', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164426262
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 118, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.DH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.DH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.401771', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^3.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426273
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 119, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.DI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.DI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.53898', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164426285
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 120, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.DJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.DJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.401549', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164426296
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 512, 'counter': 121, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.DK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.DK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.280836', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^3.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164426307
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 122, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.DL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.DL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.53789', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164426318
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 123, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.DM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.DM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.271731', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^3.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164426329
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 124, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.DN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.DN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.53810', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164426340
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 512, 'counter': 125, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.DO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.DO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.53675', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164426351
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 126, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.DP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.DP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.401545', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164426362
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 127, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.DQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.DQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.53898', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164426373
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 128, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.DR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.DR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.401775', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^3.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426384
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 512, 'counter': 129, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.DS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.DS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7532835', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_4^3:C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 164426396
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 130, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.DT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.DT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.261479', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 164426407
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 131, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.DU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.DU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.261418', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164426418
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 132, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.DV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.DV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.261476', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 164426429
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 512, 'counter': 133, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.DW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.DW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.261989', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 164426440
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 134, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.DX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.DX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6279920', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 164426451
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 135, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.DY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.DY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.400203', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164426462
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 136, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.DZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.DZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.400187', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164426473
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 512, 'counter': 137, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.EA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.EA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.261993', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^2.C_2^6.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164426484
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 138, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.EB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.EB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.400181', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5:C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426495
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 139, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.EC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.EC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6279901', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^3.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164426507
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 140, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.ED', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.ED', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.400187', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164426518
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 512, 'counter': 141, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.EE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.EE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.261989', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 164426529
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 142, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.EF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.EF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.400181', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5:C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426540
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 143, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.EG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.EG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.400203', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164426551
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 144, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.EH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.EH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6279926', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 164426562
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 512, 'counter': 145, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.EI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.EI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.10493360', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_4^2:C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 164426573
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 146, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.EJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.EJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7530058', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'D_4^2:C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 164426584
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 147, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.EK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.EK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7533505', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 164426595
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 148, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.EL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.EL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.400778', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164426606
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 512, 'counter': 149, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.EM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.EM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7533439', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^6.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 164426618
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 150, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.EN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.EN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.401796', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^3.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426629
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 151, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.EO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.EO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7533505', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 164426640
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 152, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.EP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.EP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.401570', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^3.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164426651
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 512, 'counter': 153, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.EQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.EQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7533398', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^7.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426662
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 154, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.ER', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.ER', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.401771', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^3.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426673
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 155, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.ES', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.ES', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7533505', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 164426684
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 156, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.ET', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.ET', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.401545', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164426695
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 512, 'counter': 157, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.EU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.EU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7533439', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^6.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 164426706
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 158, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.EV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.EV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.401775', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^3.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426717
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 159, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.EW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.EW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7533505', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 164426729
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 160, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.EX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.EX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.401549', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164426740
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 512, 'counter': 161, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.EY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.EY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7532443', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^3.C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 164426751
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 162, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.EZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.EZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6279920', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 164426762
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 163, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.FA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.FA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7533361', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^3.C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 164426773
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 164, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.FB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.FB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.400181', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5:C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426784
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 512, 'counter': 165, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.FC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.FC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7532835', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_4^3:C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 164426795
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 166, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.FD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.FD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6279926', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 164426806
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 167, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.FE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.FE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7533361', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^3.C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 164426817
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 168, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.FF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.FF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.400187', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164426828
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 512, 'counter': 169, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.FG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.FG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7532835', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_4^3:C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 164426840
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 170, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.FH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.FH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6279901', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^3.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164426851
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 171, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.FI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.FI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7533361', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^3.C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 164426862
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 172, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.FJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.FJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.400203', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164426873
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 173, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.FK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.FK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.400755', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': '(C_2^2\\times D_4).C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 164426884
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 174, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.FL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.FL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.400755', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': '(C_2^2\\times D_4).C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 164426895
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 175, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.FM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.FM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.53850', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^3.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164426906
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 176, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.FN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.FN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.53850', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^3.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164426917
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 177, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.FO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.FO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.53789', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164426928
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 178, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.FP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.FP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.53789', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164426939
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 179, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.FQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.FQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.53810', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164426951
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 180, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.FR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.FR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.53810', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164426962
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 181, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.FS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.FS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.261479', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 164426973
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 182, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.FT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.FT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.400181', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5:C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426984
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 183, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.FU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.FU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.261476', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 164426995
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 184, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.FV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.FV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.400187', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164427006
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 185, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.FW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.FW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.261418', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164427014
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 186, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.FX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.FX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.400203', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164427015
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 187, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.FY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.FY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7533361', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^3.C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 164427016
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': True, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 188, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.FZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.FZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.418986', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'D_4^2:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427017
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': True, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 189, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.GA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.GA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.418986', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'D_4^2:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427019
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': True, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 190, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.GB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.GB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.418986', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'D_4^2:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427020
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': True, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 191, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.GC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.GC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.418986', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'D_4^2:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427021
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': True, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 192, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.GD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.GD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.418986', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'D_4^2:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427022
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': True, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 193, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.GE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.GE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.418986', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'D_4^2:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427023
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': True, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 194, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.GF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.GF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.418986', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'D_4^2:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427024
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': True, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 195, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.GG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.GG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.418986', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'D_4^2:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427025
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': True, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 196, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.GH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.GH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.418986', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'D_4^2:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427026
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': True, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 197, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.GI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.GI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.418986', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'D_4^2:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427027
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': True, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 198, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.GJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.GJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.418986', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'D_4^2:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427028
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': True, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 199, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.GK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.GK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.418986', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'D_4^2:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427031
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': True, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 200, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.GL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.GL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.418986', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'D_4^2:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427032
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': True, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 201, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.GM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.GM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.418986', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'D_4^2:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427033
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': True, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 202, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.GN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.GN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.418986', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'D_4^2:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427034
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': True, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 203, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.GO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.GO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.418986', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'D_4^2:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427035
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 204, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.GP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.GP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.514818', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 164427036
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 205, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.GQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.GQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.266220', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 164427037
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 206, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.GR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.GR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.261468', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 164427038
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 207, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.GS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.GS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.266220', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 164427039
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 208, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.GT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.GT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.275217', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^6.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 164427040
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 209, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.GU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.GU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.283061', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 164427042
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 210, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.GV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.GV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.271606', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 164427043
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 211, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.GW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.GW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.283061', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 164427044
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 212, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.GX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.GX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.402938', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164427045
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 213, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.GY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.GY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.402937', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_4^3:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427046
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 214, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.GZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.GZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.402943', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164427047
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 215, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.HA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.HA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.402944', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164427048
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 216, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.HB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.HB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.402971', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164427049
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 217, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.HC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.HC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.402973', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164427050
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 218, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.HD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.HD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.402969', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164427051
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 219, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.HE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.HE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.402967', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164427053
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 220, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.HF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.HF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.266220', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 164427054
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 221, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.HG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.HG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6279926', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 164427055
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 222, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.HH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.HH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.266220', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 164427056
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 223, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.HI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.HI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.261476', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 164427057
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 224, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.HJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.HJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.282971', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 164427058
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 225, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.HK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.HK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.275268', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 164427059
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 226, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.HL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.HL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.282971', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 164427060
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 227, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.HM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.HM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.271696', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 164427061
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 228, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.HN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.HN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.402938', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164427062
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 229, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.HO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.HO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.402944', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164427064
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 230, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.HP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.HP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.402943', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164427065
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 231, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.HQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.HQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.402937', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_4^3:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427066
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 232, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.HR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.HR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.402971', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164427067
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 233, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.HS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.HS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.402967', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164427068
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 234, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.HT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.HT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.402969', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164427069
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 235, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.HU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.HU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.402973', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164427070
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 236, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.HV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.HV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.266208', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': '(C_2^3\\times C_4).C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 164427071
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 237, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.HW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.HW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.261418', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164427072
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 238, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.HX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.HX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.266208', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': '(C_2^3\\times C_4).C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 164427073
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 239, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.HY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.HY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6279901', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^3.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164427075
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 240, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.HZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.HZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.282974', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^3.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164427076
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 241, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.IA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.IA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.271731', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^3.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164427077
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 242, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.IB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.IB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.282974', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^3.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164427078
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 243, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.IC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.IC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.275282', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^3.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164427079
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 244, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.ID', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.ID', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.402937', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_4^3:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427080
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 245, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.IE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.IE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.402944', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164427081
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 246, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.IF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.IF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.402938', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164427082
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 247, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.IG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.IG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.402943', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164427083
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 248, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.IH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.IH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.402969', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164427084
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 249, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.II', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.II', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.402971', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164427086
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 250, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.IJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.IJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.402967', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164427087
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 251, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.IK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.IK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.402973', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164427088
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 252, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.IL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.IL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7532443', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^3.C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 164427089
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 253, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.IM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.IM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7533361', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^3.C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 164427090
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 254, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.IN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.IN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7533361', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^3.C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 164427091
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 255, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.IO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.IO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7532837', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^3.C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 164427092
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 256, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.IP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.IP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7533398', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^7.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164427093
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 257, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.IQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.IQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7533505', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 164427094
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 258, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.IR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.IR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7533505', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 164427095
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 259, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.IS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.IS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7533440', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^6.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 164427097
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 260, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.IT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.IT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7532837', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^3.C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 164427098
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 261, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.IU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.IU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7532835', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_4^3:C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 164427099
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 262, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.IV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.IV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7533361', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^3.C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 164427100
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 263, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.IW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.IW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7533361', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^3.C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 164427101
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 264, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.IX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.IX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7533439', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^6.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 164427102
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 265, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.IY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.IY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7533440', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^6.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 164427103
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 266, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.IZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.IZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7533505', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 164427104
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 267, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.JA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.JA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7533505', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 164427105
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 268, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.JB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.JB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7532835', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_4^3:C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 164427106
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 269, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.JC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.JC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7532835', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_4^3:C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 164427108
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 270, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.JD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.JD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7532837', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^3.C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 164427109
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 271, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.JE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.JE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7532835', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_4^3:C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 164427110
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 272, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.JF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.JF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7533439', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^6.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 164427111
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 273, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.JG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.JG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7533440', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^6.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 164427112
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 274, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.JH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.JH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7533439', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^6.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 164427113
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 275, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.JI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.JI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7533439', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^6.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 164427114
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 276, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.JJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.JJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7532837', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^3.C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 164427115
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 277, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.JK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.JK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7533361', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^3.C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 164427116
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 278, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.JL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.JL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7532835', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_4^3:C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 164427117
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 279, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.JM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.JM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7533361', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^3.C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 164427119
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 280, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.JN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.JN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7533439', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^6.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 164427120
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 281, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.JO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.JO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7533505', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 164427121
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 282, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.JP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.JP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7533440', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^6.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 164427122
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 283, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.JQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.JQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7533505', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 164427123
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 284, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.JR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.JR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7532837', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^3.C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 164427124
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 285, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.JS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.JS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7532837', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^3.C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 164427125
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 286, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.JT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.JT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7532837', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^3.C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 164427126
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 287, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.JU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.JU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7532835', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_4^3:C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 164427127
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 288, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.JV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.JV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7533440', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^6.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 164427128
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 289, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.JW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.JW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7533439', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^6.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 164427130
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 290, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.JX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.JX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7533440', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^6.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 164427131
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 291, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.JY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.JY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7533440', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^6.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 164427132
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 292, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.JZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.JZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7532835', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_4^3:C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 164427133
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 293, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.KA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.KA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7533361', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^3.C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 164427134
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 294, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.KB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.KB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7533361', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^3.C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 164427135
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 295, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.KC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.KC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7532837', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^3.C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 164427136
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 296, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.KD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.KD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7533440', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^6.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 164427137
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 297, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.KE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.KE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7533505', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 164427138
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 298, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.KF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.KF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7533505', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 164427139
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 299, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.KG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.KG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7533439', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^6.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 164427142
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 300, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.KH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.KH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7532837', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^3.C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 164427143
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 301, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.KI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.KI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7533361', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^3.C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 164427144
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 302, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.KJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.KJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7533361', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^3.C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 164427145
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 303, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.KK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.KK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7532835', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_4^3:C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 164427146
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 304, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.KL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.KL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7533439', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^6.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 164427147
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 305, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.KM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.KM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7533505', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 164427148
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 306, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.KN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.KN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7533505', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 164427149
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 307, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.KO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.KO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7533440', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^6.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 164427150
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 308, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.KP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.KP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.402938', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164427151
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 309, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.KQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.KQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.402943', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164427153
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 310, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.KR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.KR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.402944', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164427154
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 311, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.KS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.KS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.402937', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_4^3:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427155
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 312, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.KT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.KT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.402967', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164427156
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 313, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.KU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.KU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.402973', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164427157
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 314, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.KV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.KV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.402971', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164427158
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 315, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.4._.KW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.KW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.402969', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164427159
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 316, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27499', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^3.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 164427160
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 317, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27456', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'D_4^2:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427161
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 318, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.C', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27500', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^3.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 164427162
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 319, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.D', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27341', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_4^3:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164427164
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 320, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.E', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27144', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_4\\times D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 164427165
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 321, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.F', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27339', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_4^3:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164427166
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 322, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.G', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27150', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_4^3:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164427167
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 323, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.H', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27456', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'D_4^2:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427168
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 324, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.I', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27499', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^3.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 164427169
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 325, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.J', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27500', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^3.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 164427170
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 326, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.K', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27445', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^3.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 164427171
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 327, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.L', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27150', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_4^3:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164427172
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 328, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.M', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27341', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_4^3:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164427173
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 329, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.N', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27339', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_4^3:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164427175
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 330, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.O', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.O', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27144', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_4\\times D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 164427176
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 331, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.P', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.P', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27445', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^3.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 164427177
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 332, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.Q', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27456', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'D_4^2:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427178
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 333, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.R', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.R', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27499', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^3.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 164427179
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 334, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.S', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.S', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27500', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^3.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 164427180
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 335, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.T', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.T', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27341', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_4^3:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164427181
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 336, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.U', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.U', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27339', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_4^3:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164427182
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 337, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.V', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.V', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27144', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_4\\times D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 164427183
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 338, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.W', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.W', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27150', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_4^3:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164427184
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 339, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.X', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.X', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27445', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^3.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 164427186
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 340, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.Y', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27500', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^3.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 164427187
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 341, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.Z', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27499', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^3.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 164427188
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 342, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.BA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27456', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'D_4^2:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427189
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 343, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.BB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27144', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_4\\times D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 164427190
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 344, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.BC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27339', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_4^3:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164427191
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 345, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.BD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27341', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_4^3:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164427192
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 346, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.BE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27150', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_4^3:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164427193
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 347, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.BF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.26539', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'D_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164427194
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 348, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.BG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.26539', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'D_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164427195
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 349, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.BH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.26539', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'D_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164427197
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 350, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.BI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.26539', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'D_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164427198
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 351, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.BJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.26539', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'D_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164427199
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 352, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.BK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.26539', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'D_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164427200
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 353, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.BL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.26539', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'D_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164427201
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 354, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.BM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.26539', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'D_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164427202
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 355, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.BN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.26539', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'D_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164427203
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 356, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.BO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.26539', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'D_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164427204
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 357, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.BP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.26539', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'D_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164427205
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 358, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.BQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.26539', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'D_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164427206
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 359, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.BR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.26539', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'D_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164427208
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 360, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.BS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.26539', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'D_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164427209
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 361, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.BT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.26539', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'D_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164427210
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 362, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.BU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.26539', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'D_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164427211
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 363, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.BV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5741', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'D_4^2:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427212
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 364, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.BW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5741', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'D_4^2:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427213
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 365, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.BX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5741', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'D_4^2:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427214
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 366, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.BY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5741', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'D_4^2:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427215
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 367, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.BZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5741', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'D_4^2:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427216
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 368, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.CA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.CA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5741', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'D_4^2:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427217
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 369, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.CB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.CB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5741', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'D_4^2:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427219
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 370, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.CC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.CC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5741', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'D_4^2:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427220
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 371, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.CD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.CD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5741', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'D_4^2:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427221
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 372, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.CE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.CE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5741', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'D_4^2:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427222
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 373, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.CF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.CF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5741', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'D_4^2:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427223
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 374, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.CG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.CG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5741', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'D_4^2:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427224
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 375, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.CH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.CH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5741', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'D_4^2:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427225
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 376, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.CI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.CI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5741', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'D_4^2:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427226
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 377, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.CJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.CJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5741', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'D_4^2:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427227
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 378, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.CK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.CK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5741', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'D_4^2:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427228
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 379, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.CL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.CL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.26539', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'D_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164427230
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 380, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.CM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.CM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.26539', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'D_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164427231
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 381, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.CN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.CN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.26539', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'D_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164427232
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 382, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.CO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.CO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.26539', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'D_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164427233
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 383, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.CP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.CP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.26539', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'D_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164427234
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 384, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.CQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.CQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.26539', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'D_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164427235
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 385, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.CR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.CR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.26539', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'D_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164427236
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 386, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.CS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.CS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.26539', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'D_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164427237
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 387, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.CT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.CT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.26539', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'D_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164427238
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 388, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.CU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.CU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.26539', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'D_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164427239
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 389, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.CV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.CV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.26539', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'D_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164427241
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 390, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.CW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.CW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.26539', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'D_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164427242
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 391, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.CX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.CX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.26539', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'D_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164427243
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 392, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.CY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.CY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.26539', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'D_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164427244
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 393, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.CZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.CZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.26539', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'D_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164427245
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 394, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.DA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.DA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.26539', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'D_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164427246
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 395, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.DB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.DB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5741', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'D_4^2:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427247
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 396, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.DC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.DC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5741', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'D_4^2:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427248
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 397, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.DD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.DD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5741', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'D_4^2:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427249
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 398, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.DE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.DE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5741', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'D_4^2:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427250
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 399, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.DF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.DF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5741', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'D_4^2:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427253
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 400, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.DG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.DG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5741', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'D_4^2:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427254
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 401, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.DH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.DH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5741', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'D_4^2:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427255
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 402, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.DI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.DI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5741', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'D_4^2:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427256
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 403, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.DJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.DJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5741', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'D_4^2:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427257
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 404, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.DK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.DK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5741', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'D_4^2:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427258
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 405, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.DL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.DL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5741', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'D_4^2:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427259
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 406, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.DM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.DM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5741', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'D_4^2:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427260
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 407, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.DN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.DN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5741', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'D_4^2:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427261
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 408, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.DO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.DO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5741', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'D_4^2:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427262
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 409, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.DP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.DP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5741', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'D_4^2:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427264
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 410, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.DQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.DQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5741', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'D_4^2:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427265
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 411, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.DR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.DR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.13998', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427266
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 412, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.DS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.DS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27186', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^3.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 164427267
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 256, 'counter': 413, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.DT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.DT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27244', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^3.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 164427268
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 256, 'counter': 414, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.DU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.DU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27236', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^3.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 164427269
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 415, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.DV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.DV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27186', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^3.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 164427270
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 416, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.DW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.DW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27015', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^3.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 164427271
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 256, 'counter': 417, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.DX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.DX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.26988', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_4^3:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164427272
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 256, 'counter': 418, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.DY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.DY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55637', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_4^2.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 164427273
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 419, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.DZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.DZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27015', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^3.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 164427275
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 420, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.EA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.EA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27188', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^3.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 164427276
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 256, 'counter': 421, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.EB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.EB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27236', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^3.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 164427277
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 256, 'counter': 422, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.EC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.EC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27244', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^3.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 164427278
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 423, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.ED', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.ED', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27188', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^3.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 164427279
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 424, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.EE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.EE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27019', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_4^3:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164427280
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 256, 'counter': 425, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.EF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.EF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55637', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_4^2.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 164427281
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 256, 'counter': 426, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.EG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.EG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.26988', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_4^3:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164427282
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 427, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.EH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.EH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27019', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_4^3:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164427283
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 256, 'counter': 428, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.EI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.EI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.26991', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427284
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 429, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.EJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.EJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27015', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^3.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 164427286
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 430, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.EK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.EK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27015', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^3.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 164427287
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 256, 'counter': 431, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.EL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.EL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27001', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427288
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 256, 'counter': 432, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.EM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.EM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.26976', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 164427289
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 433, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.EN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.EN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27015', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^3.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 164427290
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 434, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.EO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.EO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27015', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^3.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 164427291
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 256, 'counter': 435, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.EP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.EP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.56082', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427292
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 436, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.EQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.EQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5693', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427293
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 437, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.ER', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.ER', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5693', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427294
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 438, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.ES', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.ES', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5693', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427295
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 439, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.ET', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.ET', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5693', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427297
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 440, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.EU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.EU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5693', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427298
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 441, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.EV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.EV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5693', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427299
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 442, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.EW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.EW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5693', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427300
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 443, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.EX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.EX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5693', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427301
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 444, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.EY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.EY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5695', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427302
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 445, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.EZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.EZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5695', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427303
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 446, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.FA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.FA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5695', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427304
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 447, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.FB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.FB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5695', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427305
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 448, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.FC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.FC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5695', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427306
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 449, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.FD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.FD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5695', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427308
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 450, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.FE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.FE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5695', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427309
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 451, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.FF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.FF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5695', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427310
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 452, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.FG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.FG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5675', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427311
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 453, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.FH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.FH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5675', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427312
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 454, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.FI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.FI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5675', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427313
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 455, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.FJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.FJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5675', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427314
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 456, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.FK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.FK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5675', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427315
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 457, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.FL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.FL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5675', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427316
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 458, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.FM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.FM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5675', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427317
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 459, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.FN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.FN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5675', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427319
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 460, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.FO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.FO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55805', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_4^2:C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 164427320
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 461, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.FP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.FP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55805', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_4^2:C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 164427321
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 462, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.FQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.FQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55805', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_4^2:C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 164427322
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 463, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.FR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.FR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55805', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_4^2:C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 164427323
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 464, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.FS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.FS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55805', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_4^2:C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 164427324
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 465, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.FT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.FT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55805', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_4^2:C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 164427325
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 466, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.FU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.FU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55805', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_4^2:C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 164427326
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 467, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.FV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.FV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55805', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_4^2:C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 164427327
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 468, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.FW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.FW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16883', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427328
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 469, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.FX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.FX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16883', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427330
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 470, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.FY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.FY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16883', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427331
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 471, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.FZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.FZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16883', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427332
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 472, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.GA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.GA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16883', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427333
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 473, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.GB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.GB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16883', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427334
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 474, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.GC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.GC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16883', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427335
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 475, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.GD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.GD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16883', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427336
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 476, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.GE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.GE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16885', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_4.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 164427337
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 477, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.GF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.GF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16885', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_4.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 164427338
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 478, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.GG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.GG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16885', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_4.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 164427339
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 479, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.GH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.GH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16885', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_4.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 164427341
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 480, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.GI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.GI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16885', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_4.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 164427342
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 481, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.GJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.GJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16885', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_4.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 164427343
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 482, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.GK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.GK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16885', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_4.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 164427344
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 483, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.GL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.GL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16885', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_4.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 164427345
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 484, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.GM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.GM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16888', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427346
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 485, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.GN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.GN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16888', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427347
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 486, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.GO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.GO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16888', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427348
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 487, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.GP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.GP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16888', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427349
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 488, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.GQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.GQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16888', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427350
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 489, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.GR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.GR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16888', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427352
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 490, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.GS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.GS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16888', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427353
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 491, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.GT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.GT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16888', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427354
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 492, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.GU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.GU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5570', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427355
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 493, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.GV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.GV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5570', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427356
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 494, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.GW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.GW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5570', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427357
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 495, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.GX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.GX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5570', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427358
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 496, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.GY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.GY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5560', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 164427359
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 497, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.GZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.GZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5560', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 164427360
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 498, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.HA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.HA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5560', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 164427361
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 499, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.HB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.HB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5560', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 164427364
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 500, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.HC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.HC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.13877', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427365
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 501, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.HD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.HD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.3742', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427366
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 502, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.HE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.HE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.13877', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427367
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 503, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.HF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.HF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.3742', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427368
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 504, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.HG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.HG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.3749', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 164427369
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 505, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.HH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.HH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.13378', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 164427370
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 506, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.HI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.HI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.3749', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 164427371
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 507, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.HJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.HJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.13378', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 164427372
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 508, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.HK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.HK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.26332', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427373
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 509, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.HL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.HL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.26332', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427375
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 510, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.HM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.HM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.26332', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427376
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 511, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.HN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.HN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.26332', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427377
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 512, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.HO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.HO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27395', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^3.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 164427378
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 513, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.HP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.HP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.13998', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427379
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 514, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.HQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.HQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27253', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^3.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 164427380
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 515, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.HR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.HR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.3742', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427381
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 516, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.HS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.HS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.26329', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427382
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 517, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.HT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.HT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27395', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^3.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 164427383
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 518, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.HU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.HU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.13604', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427384
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 519, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.HV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.HV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.13604', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427386
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 520, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.HW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.HW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27076', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_4^3:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164427387
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 521, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.HX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.HX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.26332', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427388
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 522, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.HY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.HY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27395', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^3.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 164427389
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 523, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.HZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.HZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.3728', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427390
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 524, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.IA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.IA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.3728', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427391
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 525, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.IB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.IB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.26329', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427392
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 526, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.IC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.IC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.13595', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427393
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 527, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.ID', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.ID', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27395', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^3.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 164427394
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 528, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.IE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.IE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.26343', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427395
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 529, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.IF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.IF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.13595', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427397
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 530, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.IG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.IG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.3733', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427398
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 531, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.IH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.IH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.3733', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427399
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 532, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.II', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.II', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.13948', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427400
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 533, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.IJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.IJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.13948', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427401
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 534, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.IK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.IK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.14001', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427402
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 535, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.IL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.IL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.14001', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427403
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 536, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.IM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.IM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27252', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^3.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 164427404
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 537, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.IN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.IN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.26329', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427405
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 538, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.IO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.IO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.26343', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427406
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 256, 'counter': 539, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.IP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.IP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27244', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^3.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 164427408
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 256, 'counter': 540, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.IQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.IQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55637', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_4^2.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 164427409
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 541, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.IR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.IR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27252', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^3.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 164427410
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 256, 'counter': 542, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.IS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.IS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27236', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^3.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 164427411
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 543, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.IT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.IT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55706', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_4^2:C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 164427412
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 544, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.IU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.IU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.26343', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427413
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 545, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.IV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.IV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.26329', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427414
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 546, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.IW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.IW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27075', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^3.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 164427415
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 256, 'counter': 547, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.IX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.IX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.26988', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_4^3:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164427416
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 548, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.IY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.IY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.53383', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427417
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 256, 'counter': 549, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.IZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.IZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27159', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^3.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 164427419
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 550, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.JA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.JA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.26343', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427420
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 256, 'counter': 551, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.JB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.JB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.13576', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6.C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427421
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 552, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.JC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.JC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55706', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_4^2:C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 164427422
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 553, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.JD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.JD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.13945', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427423
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 554, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.JE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.JE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.13998', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427424
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 555, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.JF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.JF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.26329', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427425
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 556, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.JG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.JG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.26329', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427426
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 557, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.JH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.JH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.26329', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427427
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 558, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.JI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.JI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27253', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^3.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 164427428
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 559, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.JJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.JJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.26329', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427430
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 560, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.JK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.JK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27344', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^3.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 164427431
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 561, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.JL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.JL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27015', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^3.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 164427432
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 562, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.JM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.JM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.53383', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427433
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 563, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.JN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.JN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27076', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_4^3:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164427434
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 256, 'counter': 564, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.JO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.JO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27159', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^3.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 164427435
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 256, 'counter': 565, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.JP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.JP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55630', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_4^2:C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 164427436
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 566, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.JQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.JQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27344', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^3.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 164427437
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 256, 'counter': 567, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.JR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.JR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.13576', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6.C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427438
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 256, 'counter': 568, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.JS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.JS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55751', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_4^2:C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 164427439
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 569, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.JT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.JT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.14001', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427441
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 570, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.JU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.JU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.13998', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427442
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 571, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.JV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.JV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27344', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^3.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 164427443
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 572, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.JW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.JW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.13945', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427444
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 256, 'counter': 573, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.JX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.JX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55751', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_4^2:C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 164427445
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 574, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.JY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.JY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55706', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_4^2:C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 164427446
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 575, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.JZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.JZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27075', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^3.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 164427447
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 256, 'counter': 576, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.KA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.KA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.13570', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427448
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 577, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.KB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.KB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27344', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^3.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 164427449
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 578, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.KC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.KC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.14001', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427450
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 256, 'counter': 579, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.KD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.KD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27002', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427452
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 580, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.KE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.KE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.53380', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427453
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 256, 'counter': 581, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.KF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.KF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55751', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_4^2:C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 164427454
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 582, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.KG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.KG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.13945', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427455
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 583, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.KH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.KH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.13945', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427456
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 584, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.KI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.KI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.13945', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427457
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 585, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.KJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.KJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.13945', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427458
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 586, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.KK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.KK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27015', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^3.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 164427459
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 256, 'counter': 587, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.KL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.KL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.13570', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427460
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 588, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.KM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.KM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.53371', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_4^2:C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 164427461
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 256, 'counter': 589, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.KN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.KN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27159', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^3.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 164427463
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 256, 'counter': 590, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.KO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.KO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.13570', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427464
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 591, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.KP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.KP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27015', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^3.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 164427465
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 592, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.KQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.KQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.53380', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427466
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 593, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.KR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.KR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5562', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 164427467
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 594, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.KS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.KS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5562', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 164427468
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 595, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.KT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.KT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5562', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 164427469
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 596, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.KU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.KU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5562', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 164427470
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 597, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.KV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.KV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5570', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427471
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 598, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.KW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.KW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5570', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427472
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 599, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.KX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.KX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5570', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427475
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 600, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.KY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.KY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5570', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427476
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 601, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.KZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.KZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.13875', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427477
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 602, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.LA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.LA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.3733', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427478
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 603, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.LB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.LB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.13875', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427479
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 604, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.LC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.LC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5562', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 164427480
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 605, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.LD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.LD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5562', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 164427481
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 606, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.LE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.LE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5562', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 164427482
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 607, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.LF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.LF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5562', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 164427483
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 608, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.LG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.LG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5560', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 164427484
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 609, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.LH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.LH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5560', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 164427486
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 610, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.LI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.LI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5560', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 164427487
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 611, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.LJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.LJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5560', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 164427488
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 612, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.LK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.LK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.13844', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427489
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 613, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.LL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.LL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.3728', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427490
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 614, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.LM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.LM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.13844', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427491
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 615, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.LN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.LN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.3728', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427492
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 616, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.LO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.LO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.3750', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 164427493
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 617, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.LP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.LP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.13382', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 164427494
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 618, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.LQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.LQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.3750', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 164427495
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 619, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.LR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.LR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.13382', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 164427497
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 620, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.LS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.LS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.26343', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427498
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 621, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.LT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.LT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.26343', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427499
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 622, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.LU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.LU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.26343', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427500
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 623, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.LV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.LV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.26343', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427501
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 624, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.LW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.LW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27394', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^3.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 164427502
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 625, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.LX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.LX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.3733', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427503
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 626, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.LY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.LY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.3749', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 164427504
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 627, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.LZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.LZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.13378', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 164427505
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 628, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.MA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.MA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.3749', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 164427506
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 629, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.MB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.MB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27394', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^3.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 164427508
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 630, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.MC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.MC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.13378', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 164427509
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 631, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.MD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.MD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.26332', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427510
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 256, 'counter': 632, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.ME', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.ME', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.13570', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427511
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 633, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.MF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.MF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.53371', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_4^2:C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 164427512
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 634, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.MG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.MG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27394', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^3.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 164427513
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 256, 'counter': 635, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.MH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.MH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55643', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427514
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 636, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.MI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.MI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27015', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^3.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 164427515
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 637, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.MJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.MJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.26332', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427516
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 638, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.MK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.MK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.13597', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427517
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 639, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.ML', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.ML', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27394', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^3.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 164427519
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 640, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.MM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.MM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.13597', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427520
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 641, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.MN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.MN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.3742', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427521
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 642, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.MO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.MO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55706', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_4^2:C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 164427522
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 643, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.MP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.MP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.26332', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427523
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 644, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.MQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.MQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.13941', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427524
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 645, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.MR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.MR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.13941', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427525
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 646, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.8._.MS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.MS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27445', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^3.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 164427526
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 647, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1106', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 164427527
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 648, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1107', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 164427528
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 649, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.C', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1108', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 164427530
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 650, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.D', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1090', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 164427531
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 651, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.E', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1107', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 164427532
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 652, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.F', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1090', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 164427533
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 653, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.G', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1108', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 164427534
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 654, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.H', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1106', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 164427535
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 655, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.I', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1107', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 164427536
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 656, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.J', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1108', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 164427537
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 657, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.K', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1090', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 164427538
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 658, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.L', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1106', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 164427539
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 659, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.M', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1090', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 164427541
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 660, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.N', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1108', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 164427542
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 661, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.O', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.O', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1107', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 164427543
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 662, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.P', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.P', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1106', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 164427544
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 663, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.Q', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1019', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427545
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 664, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.R', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.R', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1005', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3:C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 164427546
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 665, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.S', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.S', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2157', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_4^2:C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 164427547
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 666, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.T', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.T', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1018', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427548
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 667, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.U', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.U', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1018', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427549
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 668, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.V', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.V', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1005', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3:C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 164427550
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 669, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.W', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.W', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2157', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_4^2:C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 164427552
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 670, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.X', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.X', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1019', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427553
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 671, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.Y', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1053', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 164427554
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 672, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.Z', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1054', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 164427555
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 673, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.BA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1033', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 164427556
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 674, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.BB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1031', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 164427557
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 675, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.BC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1047', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427558
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 676, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.BD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1040', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427559
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 677, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.BE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2154', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_4^2:C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 164427560
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 678, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.BF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1000', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3:C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 164427561
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 679, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.BG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1054', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 164427563
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 680, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.BH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1053', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 164427564
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 681, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.BI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1031', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 164427565
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 682, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.BJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1033', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 164427566
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 683, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.BK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1019', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427567
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 684, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.BL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2264', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'D_4^2:C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164427568
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 685, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.BM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2216', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'D_4^2:C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164427569
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 686, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.BN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2177', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427570
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 687, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.BO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1613', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427571
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 688, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.BP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1040', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427572
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 689, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.BQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1758', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427574
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 690, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.BR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1758', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427575
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 691, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.BS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1758', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427576
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 692, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.BT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1758', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427577
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 693, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.BU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1758', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427578
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 694, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.BV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1758', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427579
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 695, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.BW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1758', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427580
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 696, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.BX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1758', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427581
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 697, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.BY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.645', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427582
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 698, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.BZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.645', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427583
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 699, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.CA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.CA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1054', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 164427586
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 700, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.CB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.CB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1053', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 164427587
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 701, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.CC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.CC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1031', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 164427588
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 702, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.CD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.CD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1033', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 164427589
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 703, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.CE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.CE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1040', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427590
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 704, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.CF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.CF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1047', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427591
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 705, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.CG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.CG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1000', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3:C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 164427592
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 706, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.CH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.CH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2154', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_4^2:C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 164427593
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 707, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.CI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.CI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1054', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 164427594
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 708, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.CJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.CJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1053', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 164427595
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 709, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.CK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.CK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1031', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 164427597
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 710, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.CL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.CL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1033', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 164427598
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 711, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.CM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.CM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.645', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427599
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 712, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.CN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.CN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.645', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427600
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 713, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.CO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.CO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.645', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427601
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 714, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.CP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.CP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.645', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427602
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 715, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.CQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.CQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.645', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427603
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 716, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.CR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.CR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.645', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427604
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 717, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.CS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.CS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1751', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_4^2:C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 164427605
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 718, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.CT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.CT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1751', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_4^2:C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 164427606
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 719, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.CU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.CU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1751', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_4^2:C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 164427608
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 720, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.CV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.CV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1751', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_4^2:C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 164427609
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 721, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.CW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.CW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1751', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_4^2:C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 164427610
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 722, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.CX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.CX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1751', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_4^2:C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 164427611
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 723, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.CY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.CY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1751', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_4^2:C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 164427612
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 724, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.CZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.CZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1751', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_4^2:C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 164427613
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 725, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.DA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.DA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.643', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_4^2:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427614
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 726, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.DB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.DB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.643', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_4^2:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427615
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 727, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.DC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.DC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1111', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 164427616
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 728, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.DD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.DD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1098', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 164427617
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 729, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.DE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.DE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1112', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 164427619
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 730, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.DF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.DF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1104', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 164427620
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 731, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.DG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.DG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1111', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 164427621
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 732, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.DH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.DH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1112', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 164427622
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 733, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.DI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.DI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1098', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 164427623
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 734, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.DJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.DJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1104', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 164427624
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 735, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.DK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.DK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1104', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 164427625
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 736, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.DL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.DL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1111', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 164427626
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 737, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.DM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.DM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1112', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 164427627
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 738, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.DN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.DN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1098', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 164427628
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 739, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.DO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.DO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1098', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 164427630
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 740, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.DP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.DP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1112', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 164427631
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 741, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.DQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.DQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1111', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 164427632
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 742, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.DR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.DR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1104', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 164427633
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 743, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.DS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.DS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1028', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 164427634
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 744, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.DT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.DT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2159', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_4^2.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 164427635
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 745, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.DU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.DU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1006', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 164427636
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 746, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.DV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.DV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1029', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 164427637
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 747, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.DW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.DW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1058', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_4^2.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427638
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 748, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.DX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.DX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1060', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_4^2:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427639
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 749, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.DY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.DY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1038', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_4^3:C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164427641
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 750, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.DZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.DZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1035', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_4^3:C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164427642
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 751, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.EA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.EA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1043', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 164427643
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 752, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.EB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.EB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1049', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 164427644
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 753, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.EC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.EC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1002', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_4^3:C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164427645
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 754, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.ED', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.ED', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2156', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_4^2.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 164427646
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 755, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.EE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.EE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1058', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_4^2.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427647
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 756, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.EF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.EF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1060', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_4^2:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427648
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 757, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.EG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.EG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1038', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_4^3:C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164427649
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 758, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.EH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.EH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1035', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_4^3:C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164427650
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 759, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.EI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.EI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.643', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_4^2:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427652
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 760, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.EJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.EJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.643', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_4^2:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427653
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 761, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.EK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.EK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.643', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_4^2:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427654
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 762, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.EL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.EL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.643', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_4^2:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427655
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 763, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.EM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.EM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.643', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_4^2:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427656
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 764, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.EN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.EN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.643', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_4^2:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427657
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 765, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.EO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.EO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1755', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427658
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 766, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.EP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.EP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1755', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427659
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 767, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.EQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.EQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1755', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427660
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 768, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.ER', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.ER', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1755', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427661
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 769, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.ES', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.ES', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1755', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427663
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 770, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.ET', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.ET', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1755', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427664
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 771, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.EU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.EU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1755', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427665
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 772, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.EV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.EV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1755', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427666
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 773, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.EW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.EW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.621', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427667
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 774, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.EX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.EX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.621', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427668
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 775, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.EY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.EY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1029', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 164427669
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 776, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.EZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.EZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2159', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_4^2.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 164427670
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 777, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.FA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.FA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1006', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 164427671
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 778, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.FB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.FB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1028', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 164427672
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 779, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.FC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.FC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1060', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_4^2:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427674
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 780, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.FD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.FD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1058', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_4^2.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427675
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 781, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.FE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.FE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1035', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_4^3:C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164427676
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 782, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.FF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.FF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1038', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_4^3:C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164427677
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 783, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.FG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.FG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1049', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 164427678
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 784, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.FH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.FH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1043', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 164427679
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 785, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.FI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.FI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2156', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_4^2.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 164427680
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 786, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.FJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.FJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1002', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_4^3:C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164427681
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 787, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.FK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.FK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1058', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_4^2.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427682
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 788, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.FL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.FL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1060', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_4^2:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427683
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 789, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.FM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.FM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1038', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_4^3:C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164427685
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 790, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.FN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.FN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1035', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_4^3:C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164427686
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 791, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.FO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.FO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.621', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427687
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 792, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.FP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.FP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.621', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427688
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 793, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.FQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.FQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.621', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427689
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 794, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.FR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.FR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.621', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427690
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 795, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.FS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.FS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.621', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427691
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 796, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.FT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.FT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.621', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427692
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 797, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.FU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.FU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1009', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427693
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 128, 'counter': 798, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.FV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.FV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2157', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_4^2:C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 164427694
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 128, 'counter': 799, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.FW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.FW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2157', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_4^2:C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 164427697
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 800, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.FX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.FX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1009', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427698
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 801, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.FY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.FY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1012', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 164427699
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 128, 'counter': 802, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.FZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.FZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2157', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_4^2:C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 164427700
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 128, 'counter': 803, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.GA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.GA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2157', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_4^2:C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 164427701
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 804, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.GB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.GB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1012', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 164427702
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 128, 'counter': 805, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.GC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.GC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2151', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427703
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 806, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.GD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.GD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1019', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427704
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 807, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.GE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.GE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.853', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427705
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 808, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.GF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.GF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.853', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427706
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 809, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.GG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.GG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.853', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427708
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 810, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.GH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.GH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.853', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427709
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 811, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.GI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.GI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.853', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427710
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 812, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.GJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.GJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.853', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427711
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 813, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.GK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.GK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.853', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427712
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 814, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.GL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.GL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.853', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427713
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 815, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.GM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.GM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.853', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427714
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 816, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.GN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.GN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.853', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427715
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 817, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.GO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.GO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.853', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427716
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 818, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.GP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.GP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.853', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427717
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 819, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.GQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.GQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.853', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427719
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 820, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.GR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.GR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.853', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427720
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 821, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.GS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.GS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.853', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427721
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 822, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.GT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.GT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.853', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427722
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 823, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.GU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.GU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.859', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427723
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 824, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.GV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.GV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.859', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427724
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 825, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.GW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.GW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.859', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427725
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 826, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.GX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.GX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.859', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427726
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 827, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.GY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.GY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.859', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427727
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 828, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.GZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.GZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.859', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427728
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 829, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.HA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.HA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.859', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427730
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 830, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.HB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.HB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.859', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427731
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 831, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.HC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.HC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.859', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427732
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 832, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.HD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.HD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.859', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427733
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 833, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.HE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.HE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.859', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427734
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 834, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.HF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.HF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.859', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427735
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 835, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.HG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.HG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.859', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427736
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 836, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.HH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.HH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.859', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427737
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 837, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.HI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.HI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.859', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427738
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 838, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.HJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.HJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.859', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427739
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 839, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.HK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.HK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1107', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 164427741
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 840, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.HL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.HL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1090', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 164427742
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 841, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.HM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.HM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1107', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 164427743
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 842, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.HN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.HN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1090', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 164427744
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 843, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.HO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.HO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1107', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 164427745
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 844, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.HP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.HP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1107', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 164427746
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 845, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.HQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.HQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1090', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 164427747
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 846, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.HR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.HR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1090', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 164427748
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 847, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.HS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.HS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1090', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 164427749
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 848, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.HT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.HT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1107', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 164427750
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 849, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.HU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.HU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1107', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 164427752
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 850, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.HV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.HV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1090', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 164427753
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 851, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.HW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.HW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1090', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 164427754
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 852, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.HX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.HX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1107', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 164427755
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 853, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.HY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.HY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1107', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 164427756
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 854, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.HZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.HZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1090', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 164427757
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 855, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.IA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.IA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1000', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3:C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 164427758
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 856, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.IB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.IB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1009', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427759
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 857, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.IC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.IC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1018', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427760
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 858, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.ID', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.ID', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2319', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427761
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 859, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.IE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.IE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1000', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3:C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 164427763
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 860, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.IF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.IF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1018', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427764
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 861, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.IG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.IG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1009', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427765
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 862, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.IH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.IH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2319', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427766
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 863, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.II', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.II', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1031', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 164427767
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 864, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.IJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.IJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1031', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 164427768
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 865, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.IK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.IK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1031', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 164427769
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 866, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.IL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.IL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1031', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 164427770
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 867, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.IM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.IM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1031', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 164427771
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 868, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.IN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.IN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1031', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 164427772
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 869, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.IO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.IO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1031', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 164427774
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 870, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.IP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.IP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1031', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 164427775
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 871, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.IQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.IQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1009', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427776
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 872, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.IR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.IR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1018', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427777
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 873, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.IS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.IS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1000', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3:C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 164427778
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 874, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.IT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.IT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2319', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427779
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 875, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.IU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.IU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1019', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427780
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 128, 'counter': 876, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.IV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.IV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2319', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427781
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 128, 'counter': 877, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.IW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.IW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2151', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427782
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 128, 'counter': 878, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.IX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.IX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2154', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_4^2:C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 164427783
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 128, 'counter': 879, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.IY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.IY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2154', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_4^2:C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 164427785
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 128, 'counter': 880, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.IZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.IZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2319', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427786
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 128, 'counter': 881, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.JA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.JA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2152', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427787
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 128, 'counter': 882, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.JB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.JB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2154', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_4^2:C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 164427788
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 128, 'counter': 883, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.JC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.JC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2154', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_4^2:C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 164427789
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 128, 'counter': 884, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.JD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.JD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2150', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3\\times C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 164427790
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 128, 'counter': 885, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.JE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.JE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2151', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427791
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 128, 'counter': 886, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.JF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.JF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2154', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_4^2:C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 164427792
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 128, 'counter': 887, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.JG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.JG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2154', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_4^2:C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 164427793
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 128, 'counter': 888, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.JH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.JH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2319', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427794
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 889, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.JI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.JI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2178', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_4^2:C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 164427796
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 890, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.JJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.JJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.513', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427797
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 891, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.JK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.JK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1031', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 164427798
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 892, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.JL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.JL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1031', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 164427799
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 893, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.JM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.JM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1031', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 164427800
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 894, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.JN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.JN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1031', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 164427801
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 895, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.JO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.JO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1031', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 164427802
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 896, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.JP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.JP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1031', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 164427803
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 897, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.JQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.JQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1031', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 164427804
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 898, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.JR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.JR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1031', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 164427805
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 899, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.JS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.JS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1009', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427808
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 900, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.JT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.JT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1018', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427809
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 901, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.JU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.JU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1000', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3:C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 164427810
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 902, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.JV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.JV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2319', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427811
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 903, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.JW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.JW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.513', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427812
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 904, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.JX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.JX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.513', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427813
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 905, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.JY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.JY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.513', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427814
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 906, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.JZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.JZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.13', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4:C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2163', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427815
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 907, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.KA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.KA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.13', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4:C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2163', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427816
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 908, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.KB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.KB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.13', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4:C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2163', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427817
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 909, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.KC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.KC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.13', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4:C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2163', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427819
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 910, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.KD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.KD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2163', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427820
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 128, 'counter': 911, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.KE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.KE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2151', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427821
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 912, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.KF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.KF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2163', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427822
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 128, 'counter': 913, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.KG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.KG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2328', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^7', 'supersolvable': True, 'sylow': 0}
-
id: 164427823
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 914, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.KH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.KH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2163', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427824
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 915, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.KI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.KI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2163', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427825
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 128, 'counter': 916, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.KJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.KJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2157', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_4^2:C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 164427826
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 917, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.KK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.KK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2178', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_4^2:C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 164427827
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 128, 'counter': 918, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.KL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.KL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2154', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_4^2:C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 164427828
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 919, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.KM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.KM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.850', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427830
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 920, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.KN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.KN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.850', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427831
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 921, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.KO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.KO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.850', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427832
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 922, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.KP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.KP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.850', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427833
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 923, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.KQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.KQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.850', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427834
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 924, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.KR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.KR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.850', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427835
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 925, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.KS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.KS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.850', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427836
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 926, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.KT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.KT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.850', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427837
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 927, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.KU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.KU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.850', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427838
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 928, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.KV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.KV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.850', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427839
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 929, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.KW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.KW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.850', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427841
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 930, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.KX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.KX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.850', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427842
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 931, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.KY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.KY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.850', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427843
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 932, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.KZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.KZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.850', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427844
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 933, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.LA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.LA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.850', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427845
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 934, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.LB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.LB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.850', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427846
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 935, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.LC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.LC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.13', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4:C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2264', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'D_4^2:C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164427847
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 936, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.LD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.LD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.13', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4:C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2264', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'D_4^2:C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164427848
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 937, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.LE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.LE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.13', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4:C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2264', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'D_4^2:C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164427849
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 938, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.LF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.LF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.13', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4:C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2264', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'D_4^2:C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164427850
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 939, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.LG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.LG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2194', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2\\times D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 164427852
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 940, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.LH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.LH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2258', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_4^2:C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 164427853
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 941, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.LI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.LI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2257', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_4^2:C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 164427854
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 942, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.LJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.LJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2201', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_4^2:C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 164427855
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 943, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.LK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.LK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2264', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'D_4^2:C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164427856
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 944, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.LL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.LL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2163', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427857
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 945, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.LM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.LM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1613', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427858
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 946, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.LN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.LN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.513', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427859
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 947, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.LO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.LO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.513', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427860
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 948, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.LP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.LP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2264', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'D_4^2:C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164427861
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 949, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.LQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.LQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.513', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427863
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 950, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.LR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.LR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.513', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427864
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 951, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.LS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.LS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.13', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4:C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2216', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'D_4^2:C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164427865
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 952, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.LT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.LT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.13', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4:C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2216', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'D_4^2:C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164427866
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 953, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.LU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.LU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2264', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'D_4^2:C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164427867
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 954, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.LV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.LV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.13', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4:C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2216', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'D_4^2:C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164427868
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 955, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.LW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.LW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.13', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4:C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2216', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'D_4^2:C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164427869
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 128, 'counter': 956, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.LX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.LX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2157', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_4^2:C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 164427870
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 957, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.LY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.LY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2163', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427871
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 958, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.LZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.LZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2264', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'D_4^2:C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164427872
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 128, 'counter': 959, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.MA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.MA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2323', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'D_4:C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 164427874
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 960, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.MB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.MB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2163', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427875
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 961, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.MC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.MC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2216', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'D_4^2:C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164427876
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 962, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.MD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.MD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2163', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427877
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 963, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.ME', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.ME', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.13', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4:C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2264', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'D_4^2:C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164427878
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 964, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.MF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.MF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.13', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4:C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2264', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'D_4^2:C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164427879
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 965, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.MG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.MG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.13', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4:C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2264', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'D_4^2:C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164427880
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 966, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.MH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.MH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.13', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4:C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2264', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'D_4^2:C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164427881
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 967, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.MI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.MI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2257', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_4^2:C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 164427882
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 968, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.MJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.MJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2258', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_4^2:C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 164427883
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 969, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.MK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.MK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2194', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2\\times D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 164427885
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 970, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.ML', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.ML', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2201', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_4^2:C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 164427886
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 971, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.MM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.MM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2264', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'D_4^2:C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164427887
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 972, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.MN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.MN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1613', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427888
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 973, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.MO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.MO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1613', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427889
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 974, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.MP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.MP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2163', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427890
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 975, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.MQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.MQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2216', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'D_4^2:C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164427891
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 976, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.MR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.MR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2264', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'D_4^2:C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164427892
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 977, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.MS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.MS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1019', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427893
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 978, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.MT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.MT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1617', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': '\\OD_{16}:C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 164427894
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 979, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.MU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.MU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1617', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': '\\OD_{16}:C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 164427896
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 980, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.MV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.MV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1041', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 164427897
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 981, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.MW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.MW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2264', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'D_4^2:C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164427898
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 982, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.MX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.MX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2216', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'D_4^2:C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164427899
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 983, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.MY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.MY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2163', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427900
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 984, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.MZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.MZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1617', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': '\\OD_{16}:C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 164427901
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 128, 'counter': 985, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.NA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.NA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2157', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_4^2:C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 164427902
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 986, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.NB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.NB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2264', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'D_4^2:C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164427903
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 128, 'counter': 987, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.NC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.NC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2157', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_4^2:C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 164427904
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 988, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.ND', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.ND', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2216', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'D_4^2:C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164427905
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 128, 'counter': 989, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.NE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.NE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2154', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_4^2:C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 164427907
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 990, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.NF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.NF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2216', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'D_4^2:C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164427908
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 991, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.NG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.NG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.13', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4:C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2264', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'D_4^2:C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164427909
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 992, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.NH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.NH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.13', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4:C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2264', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'D_4^2:C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164427910
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 993, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.NI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.NI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.13', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4:C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2264', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'D_4^2:C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164427911
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 994, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.NJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.NJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.13', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4:C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2264', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'D_4^2:C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164427912
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 995, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.NK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.NK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2258', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_4^2:C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 164427913
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 996, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.NL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.NL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2201', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_4^2:C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 164427914
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 997, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.NM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.NM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2257', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_4^2:C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 164427915
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 998, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.NN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.NN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2194', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2\\times D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 164427916
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 999, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.NO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.NO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2264', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'D_4^2:C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164426064
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 1000, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.NP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.NP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2216', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'D_4^2:C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164426065
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 1001, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.NQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.NQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2216', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'D_4^2:C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164426066
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 1002, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.NR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.NR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.515', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5.C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426067
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 1003, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.NS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.NS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.515', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5.C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426068
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 1004, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.NT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.NT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2264', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'D_4^2:C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164426069
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 1005, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.NU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.NU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.515', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5.C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426070
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 1006, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.NV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.NV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.515', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5.C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426071
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 1007, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.NW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.NW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.13', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4:C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2216', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'D_4^2:C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164426072
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 1008, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.NX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.NX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.13', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4:C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2216', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'D_4^2:C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164426073
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 1009, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.NY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.NY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2264', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'D_4^2:C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164426075
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 1010, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.NZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.NZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.13', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4:C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2216', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'D_4^2:C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164426076
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 1011, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.OA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.OA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.13', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4:C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2216', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'D_4^2:C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164426077
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 128, 'counter': 1012, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.OB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.OB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2323', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'D_4:C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 164426078
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 1013, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.OC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.OC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2167', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_4^2:C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 164426079
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 1014, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.OD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.OD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2264', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'D_4^2:C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164426080
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 128, 'counter': 1015, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.OE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.OE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2157', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_4^2:C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 164426081
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 1016, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.OF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.OF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2167', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_4^2:C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 164426082
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 1017, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.OG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.OG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2216', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'D_4^2:C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164426083
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 1018, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.OH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.OH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2216', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'D_4^2:C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164426084
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 1019, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.OI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.OI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.13', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4:C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2264', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'D_4^2:C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164426086
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 1020, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.OJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.OJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.13', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4:C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2264', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'D_4^2:C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164426087
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 1021, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.OK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.OK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.13', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4:C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2264', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'D_4^2:C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164426088
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 1022, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.OL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.OL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.13', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4:C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2264', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'D_4^2:C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164426089
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 1023, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.OM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.OM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2257', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_4^2:C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 164426090
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 1024, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.ON', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.ON', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2194', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2\\times D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426091
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 1025, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.OO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.OO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2258', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_4^2:C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 164426092
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 1026, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.OP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.OP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2201', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_4^2:C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 164426093
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 1027, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.OQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.OQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1613', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426094
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 1028, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.OR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.OR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1613', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426095
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 1029, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.OS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.OS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1040', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426097
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 1030, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.OT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.OT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2216', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'D_4^2:C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164426098
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 1031, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.OU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.OU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1613', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426099
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 1032, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.OV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.OV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2264', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'D_4^2:C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164426100
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 1033, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.OW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.OW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1613', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426101
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 128, 'counter': 1034, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.OX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.OX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2320', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'D_4\\times C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 164426102
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 1035, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.OY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.OY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2177', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426103
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 1036, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.OZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.OZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2216', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'D_4^2:C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164426104
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 1037, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.PA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.PA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2264', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'D_4^2:C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164426105
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 1038, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.PB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.PB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1617', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': '\\OD_{16}:C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 164426106
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 128, 'counter': 1039, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.PC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.PC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2323', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'D_4:C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 164426108
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 1040, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.PD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.PD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1041', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 164426109
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 1041, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.16._.PE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.PE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2264', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'D_4^2:C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164426110
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1042, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.62', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426111
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1043, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.66', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426112
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1044, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.C', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.60', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426113
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1045, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.D', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.193', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426114
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1046, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.E', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.58', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^2:C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426115
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1047, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.F', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.194', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426116
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1048, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.G', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.58', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^2:C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426117
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1049, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.H', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.66', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426119
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1050, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.I', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.62', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426120
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1051, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.J', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.66', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426121
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1052, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.K', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.60', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426122
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1053, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.L', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.260', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426123
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1054, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.M', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.58', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^2:C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426124
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1055, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.N', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.192', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^2\\times C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426125
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1056, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.O', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.O', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.58', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^2:C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426126
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1057, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.P', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.P', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.62', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426127
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1058, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.Q', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.60', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426128
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1059, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.R', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.R', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.66', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426130
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1060, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.S', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.S', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.66', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426131
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1061, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.T', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.T', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.66', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426132
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1062, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.U', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.U', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.66', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426133
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1063, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.V', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.V', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.60', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426134
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1064, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.W', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.W', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.62', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426135
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1065, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.X', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.X', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.194', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426136
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1066, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.Y', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.193', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426137
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1067, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.Z', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.58', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^2:C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426138
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1068, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.BA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.BA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.58', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^2:C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426139
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1069, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.BB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.BB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.58', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^2:C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426141
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1070, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.BC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.BC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.58', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^2:C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426142
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1071, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.BD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.BD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.260', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426143
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1072, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.BE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.BE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.192', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^2\\times C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426144
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1073, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.BF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.BF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.197', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426145
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1074, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.BG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.BG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.57', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426146
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1075, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.BH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.BH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.57', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426147
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1076, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.BI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.BI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.196', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426148
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1077, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.BJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.BJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.71', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 164426149
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1078, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.BK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.BK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.63', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426150
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1079, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.BL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.BL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.65', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426152
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1080, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.BM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.BM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.72', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 164426153
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1081, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.BN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.BN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.72', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 164426154
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1082, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.BO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.BO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.63', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426155
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1083, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.BP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.BP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.65', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426156
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1084, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.BQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.BQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.71', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 164426157
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1085, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.BR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.BR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.196', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426158
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1086, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.BS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.BS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.55', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_4^3', 'supersolvable': True, 'sylow': 0}
-
id: 164426159
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1087, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.BT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.BT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.55', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_4^3', 'supersolvable': True, 'sylow': 0}
-
id: 164426160
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1088, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.BU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.BU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.197', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426161
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1089, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.BV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.BV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.63', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426163
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1090, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.BW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.BW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.65', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426164
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1091, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.BX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.BX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.71', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 164426165
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1092, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.BY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.BY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.72', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 164426166
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1093, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.BZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.BZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.72', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 164426167
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1094, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.CA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.CA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.71', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 164426168
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1095, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.CB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.CB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.63', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426169
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1096, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.CC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.CC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.65', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426170
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1097, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.CD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.CD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.57', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426171
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1098, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.CE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.CE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.57', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426172
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1099, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.CF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.CF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.196', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426175
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1100, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.CG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.CG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.197', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426176
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1101, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.CH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.CH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.197', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426177
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1102, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.CI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.CI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.196', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426178
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1103, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.CJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.CJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.55', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_4^3', 'supersolvable': True, 'sylow': 0}
-
id: 164426179
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1104, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.CK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.CK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.55', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_4^3', 'supersolvable': True, 'sylow': 0}
-
id: 164426180
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1105, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.CL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.CL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.60', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426181
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1106, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.CM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.CM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.60', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426182
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1107, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.CN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.CN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.66', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426183
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1108, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.CO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.CO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.66', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426184
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1109, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.CP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.CP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.66', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426186
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1110, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.CQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.CQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.66', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426187
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1111, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.CR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.CR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.60', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426188
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1112, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.CS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.CS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.60', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426189
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1113, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.CT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.CT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.260', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426190
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1114, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.CU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.CU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.260', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426191
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1115, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.CV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.CV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.58', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^2:C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426192
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1116, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.CW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.CW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.58', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^2:C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426193
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1117, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.CX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.CX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.58', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^2:C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426194
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1118, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.CY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.CY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.58', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^2:C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426195
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1119, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.CZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.CZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.260', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426197
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1120, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.DA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.DA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.260', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426198
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1121, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.DB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.DB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.60', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426199
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1122, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.DC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.DC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.60', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426200
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1123, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.DD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.DD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.66', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426201
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1124, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.DE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.DE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.66', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426202
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1125, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.DF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.DF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.66', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426203
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1126, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.DG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.DG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.66', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426204
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1127, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.DH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.DH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.60', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426205
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1128, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.DI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.DI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.60', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426206
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1129, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.DJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.DJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.260', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426208
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1130, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.DK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.DK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.260', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426209
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1131, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.DL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.DL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.58', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^2:C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426210
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1132, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.DM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.DM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.58', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^2:C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426211
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1133, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.DN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.DN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.58', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^2:C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426212
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1134, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.DO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.DO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.58', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^2:C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426213
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1135, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.DP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.DP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.260', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426214
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1136, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.DQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.DQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.260', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426215
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1137, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.DR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.DR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.25', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.226', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426216
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1138, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.DS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.DS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.25', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.242', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426217
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1139, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.DT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.DT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.25', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.241', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426219
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1140, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.DU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.DU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.25', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.232', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426220
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1141, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.DV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.DV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.25', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.226', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426221
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1142, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.DW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.DW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.25', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.242', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426222
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1143, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.DX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.DX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.25', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.241', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426223
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1144, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.DY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.DY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.25', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.232', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426224
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1145, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.DZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.DZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.25', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.226', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426225
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1146, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.EA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.EA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.25', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.242', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426226
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1147, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.EB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.EB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.25', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.241', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426227
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1148, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.EC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.EC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.25', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.232', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426228
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1149, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.ED', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.ED', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.25', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.226', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426230
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1150, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.EE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.EE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.25', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.242', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426231
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1151, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.EF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.EF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.25', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.241', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426232
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1152, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.EG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.EG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.25', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.232', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426233
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1153, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.EH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.EH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.25', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.241', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426234
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1154, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.EI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.EI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.25', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.242', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426235
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1155, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.EJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.EJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.25', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.226', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426236
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1156, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.EK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.EK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.25', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.232', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426237
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1157, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.EL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.EL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.25', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.241', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426238
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1158, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.EM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.EM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.25', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.242', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426239
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1159, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.EN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.EN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.25', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.226', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426241
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1160, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.EO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.EO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.25', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.232', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426242
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1161, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.EP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.EP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.25', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.241', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426243
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1162, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.EQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.EQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.25', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.242', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426244
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1163, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.ER', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.ER', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.25', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.226', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426245
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1164, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.ES', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.ES', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.25', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.232', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426246
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1165, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.ET', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.ET', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.25', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.241', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426247
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1166, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.EU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.EU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.25', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.242', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426248
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1167, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.EV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.EV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.25', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.226', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426249
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1168, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.EW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.EW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.25', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.232', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426250
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1169, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.EX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.EX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.25', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.242', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426252
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1170, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.EY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.EY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.25', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.232', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426253
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1171, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.EZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.EZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.25', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.241', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426254
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1172, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.FA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.FA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.25', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.226', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426255
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1173, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.FB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.FB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.25', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.242', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426256
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1174, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.FC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.FC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.25', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.232', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426257
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1175, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.FD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.FD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.25', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.241', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426258
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1176, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.FE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.FE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.25', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.226', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426259
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1177, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.FF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.FF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.25', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.242', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426260
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1178, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.FG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.FG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.25', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.232', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426261
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1179, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.FH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.FH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.25', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.241', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426263
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1180, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.FI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.FI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.25', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.226', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426264
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1181, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.FJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.FJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.25', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.242', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426265
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1182, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.FK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.FK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.25', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.232', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426266
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1183, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.FL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.FL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.25', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.241', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426267
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1184, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.FM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.FM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.25', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.226', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426268
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1185, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.FN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.FN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.48', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.261', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'D_4\\times C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 164426269
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1186, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.FO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.FO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.25', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.241', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426270
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1187, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.FP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.FP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.25', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.226', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426271
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1188, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.FQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.FQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.25', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.242', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426272
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1189, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.FR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.FR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.25', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.232', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426274
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1190, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.FS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.FS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.25', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.241', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426275
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1191, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.FT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.FT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.25', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.226', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426276
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1192, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.FU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.FU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.25', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.242', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426277
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1193, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.FV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.FV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.25', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.232', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426278
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1194, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.FW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.FW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.25', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.241', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426279
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1195, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.FX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.FX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.25', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.226', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426280
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1196, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.FY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.FY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.25', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.242', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426281
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1197, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.FZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.FZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.25', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.232', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426282
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1198, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.GA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.GA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.25', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.241', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426283
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1199, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.GB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.GB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.25', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.226', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426286
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1200, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.GC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.GC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.25', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.242', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426287
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1201, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.GD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.GD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.25', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.232', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426288
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 64, 'counter': 1202, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.GE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.GE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.260', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426289
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 64, 'counter': 1203, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.GF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.GF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.193', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426290
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 64, 'counter': 1204, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.GG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.GG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.193', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426291
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 64, 'counter': 1205, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.GH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.GH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.192', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^2\\times C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426292
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 64, 'counter': 1206, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.GI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.GI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.194', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426293
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 64, 'counter': 1207, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.GJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.GJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.260', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426294
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 64, 'counter': 1208, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.GK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.GK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.193', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426295
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 64, 'counter': 1209, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.GL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.GL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.260', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426297
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 64, 'counter': 1210, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.GM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.GM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.260', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426298
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 64, 'counter': 1211, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.GN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.GN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.260', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426299
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 64, 'counter': 1212, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.GO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.GO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.193', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426300
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 64, 'counter': 1213, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.GP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.GP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.194', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426301
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 64, 'counter': 1214, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.GQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.GQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.192', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^2\\times C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426302
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 64, 'counter': 1215, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.GR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.GR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.260', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426303
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 64, 'counter': 1216, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.GS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.GS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.260', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426304
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 64, 'counter': 1217, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.GT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.GT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.260', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426305
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1218, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.GU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.GU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.45', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.202', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426306
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1219, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.GV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.GV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.48', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.261', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'D_4\\times C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 164426308
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 64, 'counter': 1220, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.GW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.GW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.261', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'D_4\\times C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 164426309
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1221, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.GX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.GX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.45', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.216', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426310
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1222, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.GY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.GY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.25', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.199', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426311
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1223, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.GZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.GZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.25', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.202', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426312
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1224, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.HA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.HA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.25', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.264', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'D_4:C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 164426313
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1225, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.HB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.HB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.25', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.202', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426314
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1226, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.HC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.HC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.25', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.199', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426315
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1227, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.HD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.HD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.25', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.202', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426316
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1228, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.HE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.HE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.25', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.264', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'D_4:C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 164426317
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1229, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.HF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.HF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.25', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.202', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426319
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1230, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.HG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.HG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.25', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.199', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426320
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1231, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.HH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.HH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.25', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.202', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426321
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1232, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.HI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.HI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.25', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.264', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'D_4:C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 164426322
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1233, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.HJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.HJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.25', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.202', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426323
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1234, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.HK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.HK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.25', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.199', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426324
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1235, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.HL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.HL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.25', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.202', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426325
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1236, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.HM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.HM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.25', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.264', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'D_4:C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 164426326
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1237, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.HN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.HN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.25', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.202', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426327
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1238, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.HO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.HO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.25', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.264', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'D_4:C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 164426328
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1239, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.HP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.HP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.25', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.206', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426330
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1240, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.HQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.HQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.25', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.199', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426331
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1241, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.HR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.HR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.25', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.206', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426332
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1242, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.HS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.HS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.25', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.264', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'D_4:C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 164426333
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1243, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.HT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.HT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.25', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.206', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426334
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1244, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.HU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.HU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.25', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.199', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426335
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1245, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.HV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.HV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.25', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.206', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426336
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1246, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.HW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.HW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.25', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.264', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'D_4:C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 164426337
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1247, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.HX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.HX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.25', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.206', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426338
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1248, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.HY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.HY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.25', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.199', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426339
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1249, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.HZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.HZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.25', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.206', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426341
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1250, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.IA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.IA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.25', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.264', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'D_4:C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 164426342
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1251, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.IB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.IB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.25', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.206', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426343
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1252, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.IC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.IC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.25', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.199', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426344
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1253, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.ID', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.ID', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.25', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.206', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426345
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1254, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.IE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.IE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.25', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.202', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426346
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1255, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.IF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.IF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.25', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.193', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426347
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1256, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.IG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.IG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.25', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.202', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426348
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1257, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.IH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.IH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.25', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 164426349
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1258, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.II', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.II', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.25', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.202', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426350
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1259, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.IJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.IJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.25', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.193', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426352
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1260, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.IK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.IK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.25', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.202', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426353
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1261, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.IL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.IL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.25', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 164426354
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1262, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.IM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.IM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.25', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.202', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426355
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1263, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.IN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.IN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.25', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.193', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426356
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1264, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.IO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.IO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.25', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.202', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426357
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1265, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.IP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.IP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.25', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 164426358
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1266, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.IQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.IQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.25', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.202', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426359
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1267, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.IR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.IR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.25', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.193', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426360
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1268, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.IS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.IS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.25', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.202', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426361
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1269, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.IT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.IT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.25', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 164426363
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1270, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.IU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.IU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.67', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426364
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1271, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.IV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.IV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.67', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426365
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1272, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.IW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.IW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.193', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426366
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1273, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.IX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.IX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.193', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426367
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1274, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.IY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.IY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.67', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426368
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1275, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.IZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.IZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.67', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426369
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 64, 'counter': 1276, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.JA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.JA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 164426370
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1277, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.JB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.JB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.45', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.261', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'D_4\\times C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 164426371
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 64, 'counter': 1278, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.JC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.JC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.51', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.261', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'D_4\\times C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 164426372
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1279, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.JD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.JD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.45', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.202', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426374
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1280, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.JE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.JE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.67', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426375
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1281, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.JF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.JF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.67', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426376
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1282, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.JG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.JG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.193', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426377
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1283, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.JH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.JH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.193', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426378
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1284, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.JI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.JI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.67', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426379
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1285, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.JJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.JJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.67', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426380
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1286, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.JK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.JK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.45', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.215', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426381
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1287, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.JL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.JL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.45', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.261', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'D_4\\times C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 164426382
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1288, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.JM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.JM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.45', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.90', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426383
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1289, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.JN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.JN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.45', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.90', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426385
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1290, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.JO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.JO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.71', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 164426386
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1291, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.JP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.JP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.71', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 164426387
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1292, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.JQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.JQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.195', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426388
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1293, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.JR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.JR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.195', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426389
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1294, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.JS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.JS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.71', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 164426390
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1295, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.JT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.JT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.71', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 164426391
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1296, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.JU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.JU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.45', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.90', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426392
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1297, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.JV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.JV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.45', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.90', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426393
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1298, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.JW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.JW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.48', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.202', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426394
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1299, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.JX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.JX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.45', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.216', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426397
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1300, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.JY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.JY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.71', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 164426398
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1301, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.JZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.JZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.71', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 164426399
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1302, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.KA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.KA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.195', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426400
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1303, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.KB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.KB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.195', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426401
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1304, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.KC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.KC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.71', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 164426402
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1305, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.KD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.KD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.71', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 164426403
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1306, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.KE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.KE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.48', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.202', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426404
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1307, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.KF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.KF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.202', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426405
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1308, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.KG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.KG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.202', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426406
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1309, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.KH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.KH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.48', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.215', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426408
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1310, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.KI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.KI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.67', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426409
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1311, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.KJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.KJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.67', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426410
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1312, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.KK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.KK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.67', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426411
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1313, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.KL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.KL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.67', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426412
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1314, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.KM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.KM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.193', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426413
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1315, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.KN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.KN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.260', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426414
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1316, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.KO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.KO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.48', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.215', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426415
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1317, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.KP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.KP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.202', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426416
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1318, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.KQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.KQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.205', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426417
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1319, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.KR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.KR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.48', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.215', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426419
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1320, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.KS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.KS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.67', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426420
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1321, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.KT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.KT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.67', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426421
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1322, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.KU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.KU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.67', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426422
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1323, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.KV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.KV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.67', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426423
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1324, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.KW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.KW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.193', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426424
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1325, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.KX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.KX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.260', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426425
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1326, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.KY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.KY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.48', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.215', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426426
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1327, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.KZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.KZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.193', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426427
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1328, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.LA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.LA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.261', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'D_4\\times C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 164426428
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1329, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.LB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.LB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.48', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.215', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426430
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 64, 'counter': 1330, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.LC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.LC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.193', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426431
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 64, 'counter': 1331, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.LD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.LD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.260', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426432
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 64, 'counter': 1332, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.LE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.LE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.194', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426433
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 64, 'counter': 1333, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.LF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.LF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.192', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^2\\times C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426434
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 64, 'counter': 1334, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.LG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.LG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.193', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426435
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 64, 'counter': 1335, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.LH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.LH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.260', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426436
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1336, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.LI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.LI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.48', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.215', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426437
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1337, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.LJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.LJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.202', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426438
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1338, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.LK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.LK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.205', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426439
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1339, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.LL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.LL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.48', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.202', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426441
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1340, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.LM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.LM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.48', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.202', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426442
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1341, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.LN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.LN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.202', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426443
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1342, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.LO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.LO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.196', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426444
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1343, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.LP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.LP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.196', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426445
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1344, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.LQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.LQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.196', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426446
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1345, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.LR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.LR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.196', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426447
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 64, 'counter': 1346, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.LS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.LS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.193', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426448
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 64, 'counter': 1347, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.LT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.LT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.260', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426449
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 64, 'counter': 1348, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.LU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.LU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.194', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426450
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 64, 'counter': 1349, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.LV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.LV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.192', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^2\\times C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426452
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1350, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.LW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.LW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.196', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426453
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1351, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.LX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.LX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.196', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426454
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1352, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.LY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.LY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.196', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426455
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1353, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.LZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.LZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.196', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426456
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 64, 'counter': 1354, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.MA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.MA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.193', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426457
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 64, 'counter': 1355, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.MB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.MB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.260', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426458
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1356, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.MC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.MC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.202', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426459
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1357, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.MD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.MD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.48', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.202', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426460
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1358, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.ME', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.ME', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.48', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.202', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426461
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1359, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.MF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.MF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.193', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426463
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1360, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.MG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.MG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.48', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.216', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426464
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1361, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.MH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.MH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.48', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.216', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426465
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1362, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.MI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.MI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.207', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426466
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1363, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.MJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.MJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.211', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426467
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1364, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.MK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.MK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.48', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.216', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426468
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1365, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.ML', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.ML', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.48', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.216', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426469
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1366, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.MM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.MM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.263', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'D_4:C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 164426470
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1367, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.MN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.MN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.195', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426471
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1368, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.MO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.MO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.48', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.216', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426472
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1369, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.MP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.MP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.45', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.215', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426474
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1370, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.MQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.MQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.48', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.216', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426475
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1371, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.MR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.MR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.211', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426476
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1372, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.MS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.MS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.207', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426477
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1373, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.MT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.MT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 164426478
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1374, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.MU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.MU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.45', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.264', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'D_4:C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 164426479
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1375, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.MV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.MV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.45', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.264', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'D_4:C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 164426480
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1376, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.MW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.MW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.45', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.199', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426481
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1377, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.MX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.MX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.48', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.202', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426482
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1378, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.MY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.MY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.48', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.202', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426483
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1379, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.MZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.MZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.202', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426485
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1380, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.NA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.NA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.45', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.215', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426486
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1381, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.NB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.NB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.202', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426487
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1382, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.NC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.NC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.48', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.202', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426488
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1383, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.ND', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.ND', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.48', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.202', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426489
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1384, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.NE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.NE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.202', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426490
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1385, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.NF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.NF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.202', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426491
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1386, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.NG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.NG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.48', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.202', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426492
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1387, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.NH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.NH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.48', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.202', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426493
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1388, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.NI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.NI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.193', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426494
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1389, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.NJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.NJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 164426496
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1390, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.NK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.NK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.45', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.216', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426497
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1391, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.NL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.NL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.45', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.92', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': '\\OD_{16}:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426498
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1392, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.NM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.NM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.45', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.92', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': '\\OD_{16}:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426499
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1393, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.NN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.NN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.45', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.92', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': '\\OD_{16}:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426500
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1394, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.NO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.NO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.45', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.92', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': '\\OD_{16}:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426501
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1395, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.NP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.NP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.48', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.216', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426502
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1396, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.NQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.NQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.48', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.216', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426503
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1397, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.NR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.NR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.211', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426504
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1398, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.NS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.NS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.207', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426505
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1399, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.NT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.NT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.48', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.216', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426508
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1400, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.NU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.NU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.48', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.216', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426509
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1401, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.NV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.NV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.195', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426510
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1402, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.NW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.NW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.45', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.90', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426511
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1403, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.NX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.NX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.45', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.90', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426512
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1404, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.NY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.NY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.45', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.90', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426513
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1405, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.NZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.NZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.45', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.90', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426514
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1406, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.OA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.OA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.48', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.215', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426515
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1407, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.OB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.OB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.48', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.215', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426516
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1408, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.OC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.OC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.205', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426517
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1409, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.OD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.OD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.202', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426519
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1410, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.OE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.OE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.48', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.215', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426520
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1411, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.OF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.OF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.48', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.215', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426521
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1412, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.OG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.OG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.261', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'D_4\\times C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 164426522
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1413, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.OH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.OH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.193', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426523
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1414, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.OI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.OI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.48', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.215', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426524
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1415, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.OJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.OJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.48', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.215', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426525
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1416, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.OK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.OK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.202', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426526
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1417, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.OL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.OL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.205', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426527
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1418, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.OM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.OM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.263', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'D_4:C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 164426528
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1419, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.ON', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.ON', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.48', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.216', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426530
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1420, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.OO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.OO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.48', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.216', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426531
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1421, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.OP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.OP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.211', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426532
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1422, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.OQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.OQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.207', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426533
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1423, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.OR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.OR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.45', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.199', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426534
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1424, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.OS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.OS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.45', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.202', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426535
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1425, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.OT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.OT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.48', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.261', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'D_4\\times C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 164426536
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1426, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.OU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.OU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.48', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.261', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'D_4\\times C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 164426537
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 64, 'counter': 1427, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.OV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.OV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.261', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'D_4\\times C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 164426538
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 64, 'counter': 1428, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.OW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.OW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 164426539
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1429, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.OX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.OX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.48', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.261', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'D_4\\times C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 164426541
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1430, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.OY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.OY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.45', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.202', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426542
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1431, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.OZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.OZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.48', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.261', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'D_4\\times C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 164426543
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 64, 'counter': 1432, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.PA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.PA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.261', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'D_4\\times C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 164426544
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1433, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.PB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.PB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.45', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.216', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426545
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1434, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.PC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.PC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.45', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.215', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426546
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 64, 'counter': 1435, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.PD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.PD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.260', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426547
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 1436, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.32._.PE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.PE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.66', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426548
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1437, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.206', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 164426549
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1438, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.138', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\wr C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.45', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426550
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1439, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.C', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.138', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\wr C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.45', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426552
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1440, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.D', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.138', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\wr C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.45', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426553
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1441, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.E', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.45', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426554
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1442, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.F', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426555
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1443, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.G', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.45', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426556
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1444, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.H', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426557
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1445, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.I', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426558
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1446, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.J', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426559
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1447, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.K', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.45', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426560
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1448, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.L', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.45', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426561
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1449, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.M', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.23', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426563
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1450, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.N', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.21', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2\\times C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426564
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1451, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.O', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.O', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.21', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2\\times C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426565
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1452, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.P', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.P', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.23', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426566
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1453, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.Q', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.23', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426567
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1454, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.R', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.R', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.23', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426568
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1455, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.S', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.S', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.21', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2\\times C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426569
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1456, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.T', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.T', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.21', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2\\times C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426570
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1457, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.U', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.U', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426571
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1458, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.V', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.V', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426572
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1459, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.W', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.W', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.45', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426574
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1460, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.X', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.X', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.45', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426575
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1461, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.Y', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426576
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1462, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.Z', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426577
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1463, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.BA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.BA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.45', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426578
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1464, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.BB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.BB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.45', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426579
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 32, 'counter': 1465, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.BC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.BC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.45', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426580
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 32, 'counter': 1466, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.BD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.BD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.45', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426581
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 32, 'counter': 1467, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.BE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.BE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.45', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426582
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 32, 'counter': 1468, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.BF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.BF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.45', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426583
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1469, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.BG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.BG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.206', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 164426585
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1470, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.BH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.BH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426586
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1471, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.BI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.BI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426587
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1472, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.BJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.BJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.45', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426588
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1473, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.BK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.BK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426589
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1474, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.BL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.BL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.45', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426590
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1475, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.BM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.BM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.21', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2\\times C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426591
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1476, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.BN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.BN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.23', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426592
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1477, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.BO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.BO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.23', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426593
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1478, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.BP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.BP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.21', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2\\times C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426594
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1479, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.BQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.BQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426596
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1480, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.BR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.BR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426597
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1481, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.BS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.BS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.45', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426598
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1482, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.BT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.BT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.45', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426599
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1483, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.BU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.BU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.23', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426600
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1484, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.BV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.BV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.23', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426601
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1485, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.BW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.BW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.21', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2\\times C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426602
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1486, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.BX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.BX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.21', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2\\times C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426603
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1487, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.BY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.BY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426604
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1488, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.BZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.BZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426605
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1489, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.CA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.CA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.45', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426607
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1490, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.CB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.CB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.45', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426608
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 32, 'counter': 1491, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.CC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.CC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.45', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426609
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 32, 'counter': 1492, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.CD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.CD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.45', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426610
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 32, 'counter': 1493, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.CE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.CE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.45', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426611
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 32, 'counter': 1494, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.CF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.CF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.45', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426612
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1495, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.CG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.CG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426613
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1496, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.CH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.CH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426614
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1497, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.CI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.CI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.45', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426615
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1498, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.CJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.CJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.45', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426616
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1499, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.CK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.CK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426619
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1500, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.CL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.CL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 164426620
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1501, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.CM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.CM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 164426621
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1502, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.CN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.CN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.196', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.27', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164426622
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1503, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.CO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.CO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.196', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.27', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164426623
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1504, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.CP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.CP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.196', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.27', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164426624
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1505, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.CQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.CQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.196', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.27', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164426625
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1506, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.CR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.CR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.196', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426626
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1507, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.CS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.CS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.196', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 164426627
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1508, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.CT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.CT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.196', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.45', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426628
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1509, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.CU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.CU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.196', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426630
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1510, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.CV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.CV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.196', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 164426631
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1511, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.CW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.CW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.261', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4\\times C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426632
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1512, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.CX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.CX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.196', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.27', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164426633
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1513, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.CY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.CY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.196', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.27', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164426634
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1514, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.CZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.CZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.196', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.27', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164426635
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1515, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.DA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.DA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.196', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.27', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164426636
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1516, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.DB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.DB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.196', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426637
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1517, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.DC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.DC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.206', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426638
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1518, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.DD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.DD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.206', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426639
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1519, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.DE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.DE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.206', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426641
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1520, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.DF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.DF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.206', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426642
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1521, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.DG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.DG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.206', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.30', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426643
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1522, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.DH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.DH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.206', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.27', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164426644
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1523, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.DI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.DI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.206', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.30', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426645
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1524, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.DJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.DJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.206', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.27', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164426646
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1525, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.DK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.DK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.206', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.27', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164426647
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1526, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.DL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.DL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.206', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.27', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164426648
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1527, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.DM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.DM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.206', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.30', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426649
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1528, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.DN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.DN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.206', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.30', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426650
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1529, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.DO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.DO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426652
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1530, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.DP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.DP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 164426653
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1531, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.DQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.DQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.45', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426654
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1532, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.DR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.DR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426655
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1533, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.DS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.DS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.196', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.30', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426656
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1534, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.DT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.DT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.196', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.27', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164426657
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1535, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.DU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.DU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.196', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426658
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1536, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.DV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.DV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.196', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426659
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1537, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.DW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.DW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.196', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.27', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164426660
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1538, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.DX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.DX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.196', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.30', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426661
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1539, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.DY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.DY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.196', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 164426663
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1540, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.DZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.DZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.263', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4:C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426664
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1541, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.EA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.EA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.261', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4\\times C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426665
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 32, 'counter': 1542, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.EB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.EB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.263', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4:C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426666
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1543, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.EC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.EC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.196', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.30', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426667
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1544, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.ED', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.ED', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.196', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.27', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164426668
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1545, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.EE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.EE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.196', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426669
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1546, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.EF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.EF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.196', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426670
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1547, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.EG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.EG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.196', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.27', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164426671
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1548, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.EH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.EH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.196', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.30', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426672
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 32, 'counter': 1549, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.EI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.EI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.261', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4\\times C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 164426674
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1550, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.EJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.EJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.206', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 164426675
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1551, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.EK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.EK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.206', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426676
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1552, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.EL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.EL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.206', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426677
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1553, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.EM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.EM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.206', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.30', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426678
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1554, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.EN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.EN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.206', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.27', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164426679
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1555, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.EO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.EO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.206', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.27', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164426680
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1556, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.EP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.EP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.206', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.30', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426681
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1557, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.EQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.EQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.206', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.27', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164426682
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1558, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.ER', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.ER', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.206', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.30', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426683
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1559, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.ES', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.ES', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.206', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.27', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164426685
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1560, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.ET', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.ET', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.206', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.30', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426686
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1561, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.EU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.EU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.206', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426687
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1562, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.EV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.EV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.206', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426688
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1563, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.EW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.EW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.206', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426689
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1564, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.EX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.EX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.206', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426690
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1565, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.EY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.EY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426691
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1566, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.EZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.EZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426692
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1567, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.FA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.FA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 164426693
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1568, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.FB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.FB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.45', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426694
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1569, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.FC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.FC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.196', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.27', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164426696
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1570, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.FD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.FD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.196', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.30', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426697
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1571, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.FE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.FE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.196', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426698
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1572, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.FF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.FF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.196', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426699
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1573, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.FG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.FG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.196', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.27', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164426700
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1574, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.FH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.FH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.196', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.30', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426701
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1575, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.FI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.FI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.206', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 164426702
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1576, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.FJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.FJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.206', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426703
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1577, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.FK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.FK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.206', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.45', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426704
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1578, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.FL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.FL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.206', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426705
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1579, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.FM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.FM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.196', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.27', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164426707
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1580, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.FN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.FN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.196', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.30', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426708
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1581, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.FO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.FO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.196', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426709
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1582, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.FP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.FP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.196', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426710
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1583, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.FQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.FQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.196', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.27', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164426711
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1584, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.FR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.FR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.196', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.30', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426712
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1585, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.FS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.FS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.206', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.45', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426713
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1586, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.FT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.FT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.206', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426714
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1587, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.FU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.FU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.206', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426715
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1588, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.FV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.FV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.206', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 164426716
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1589, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.FW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.FW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.206', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.31', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_4^2:C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164426718
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1590, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.FX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.FX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.206', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.34', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_4:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426719
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1591, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.FY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.FY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.206', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.34', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_4:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426720
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1592, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.FZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.FZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.206', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.31', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_4^2:C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164426721
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1593, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.GA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.GA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.206', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.24', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_4^2:C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164426722
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1594, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.GB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.GB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.206', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.48', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'D_4:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426723
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1595, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.GC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.GC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.206', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.24', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_4^2:C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164426724
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1596, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.GD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.GD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.206', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.48', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'D_4:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426725
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1597, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.GE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.GE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.206', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.34', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_4:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426726
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1598, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.GF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.GF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.206', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.34', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_4:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426727
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1599, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.GG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.GG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.206', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.31', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_4^2:C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164426730
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1600, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.GH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.GH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.206', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.31', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_4^2:C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164426731
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1601, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.GI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.GI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.21', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2\\times C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426732
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1602, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.GJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.GJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426733
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1603, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.GK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.GK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.21', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2\\times C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426734
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1604, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.GL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.GL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.47', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times Q_8', 'supersolvable': True, 'sylow': 0}
-
id: 164426735
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1605, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.GM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.GM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.196', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.34', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_4:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426736
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1606, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.GN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.GN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.196', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.31', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_4^2:C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164426737
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1607, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.GO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.GO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.196', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.24', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_4^2:C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164426738
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1608, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.GP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.GP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.196', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.48', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'D_4:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426739
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1609, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.GQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.GQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.196', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.34', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_4:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426741
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1610, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.GR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.GR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.196', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.31', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_4^2:C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164426742
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1611, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.GS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.GS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.206', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 164426743
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 32, 'counter': 1612, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.GT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.GT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 164426744
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 32, 'counter': 1613, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.GU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.GU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.45', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426745
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 32, 'counter': 1614, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.GV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.GV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 164426746
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1615, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.GW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.GW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.196', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.34', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_4:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426747
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1616, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.GX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.GX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.196', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.31', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_4^2:C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164426748
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1617, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.GY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.GY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.196', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.24', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_4^2:C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164426749
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1618, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.GZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.GZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.196', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.48', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'D_4:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426750
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1619, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.HA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.HA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.196', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.34', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_4:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426752
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1620, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.HB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.HB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.196', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.31', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_4^2:C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164426753
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 32, 'counter': 1621, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.HC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.HC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 164426754
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 32, 'counter': 1622, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.HD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.HD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.260', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426755
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1623, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.HE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.HE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.263', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4:C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426756
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1624, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.HF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.HF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.261', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4\\times C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426757
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1625, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.HG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.HG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.206', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.34', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_4:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426758
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1626, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.HH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.HH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.206', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.31', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_4^2:C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164426759
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1627, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.HI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.HI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.206', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.31', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_4^2:C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164426760
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1628, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.HJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.HJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.206', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.34', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_4:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426761
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1629, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.HK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.HK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.206', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.34', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_4:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426763
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1630, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.HL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.HL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.206', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.31', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_4^2:C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164426764
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1631, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.HM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.HM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.206', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.34', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_4:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426765
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1632, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.HN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.HN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.206', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.31', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_4^2:C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164426766
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1633, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.HO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.HO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.206', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.48', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'D_4:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426767
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1634, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.HP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.HP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.206', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.48', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'D_4:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426768
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1635, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.HQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.HQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.206', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.24', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_4^2:C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164426769
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1636, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.HR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.HR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.206', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.24', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_4^2:C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164426770
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1637, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.HS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.HS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426771
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1638, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.HT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.HT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.47', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times Q_8', 'supersolvable': True, 'sylow': 0}
-
id: 164426772
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1639, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.HU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.HU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.21', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2\\times C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426774
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1640, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.HV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.HV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.21', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2\\times C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426775
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1641, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.HW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.HW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.196', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.31', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_4^2:C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164426776
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1642, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.HX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.HX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.196', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.34', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_4:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426777
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1643, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.HY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.HY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.196', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.48', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'D_4:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426778
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1644, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.HZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.HZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.196', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.24', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_4^2:C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164426779
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1645, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.IA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.IA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.196', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.34', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_4:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426780
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1646, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.IB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.IB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.196', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.31', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_4^2:C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164426781
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1647, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.IC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.IC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.263', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4:C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426782
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1648, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.ID', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.ID', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.196', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426783
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1649, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.IE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.IE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.196', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 164426785
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1650, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.IF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.IF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.196', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426786
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1651, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.IG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.IG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.196', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.31', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_4^2:C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164426787
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1652, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.IH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.IH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.196', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.34', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_4:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426788
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1653, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.II', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.II', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.196', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.48', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'D_4:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426789
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1654, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.IJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.IJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.196', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.24', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_4^2:C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164426790
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1655, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.IK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.IK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.196', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.34', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_4:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426791
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1656, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.IL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.IL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.196', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.31', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_4^2:C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164426792
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1657, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.IM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.IM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.196', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.45', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426793
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1658, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.IN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.IN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.196', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426794
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1659, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.IO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.IO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.196', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 164426796
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1660, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.IP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.IP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.261', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4\\times C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426797
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1661, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.IQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.IQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.206', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.27', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164426798
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1662, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.IR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.IR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.206', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.27', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164426799
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1663, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.IS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.IS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.206', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.27', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164426800
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1664, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.IT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.IT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.206', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.27', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164426801
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1665, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.IU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.IU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.206', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.27', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164426802
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1666, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.IV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.IV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.206', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.27', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164426803
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1667, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.IW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.IW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.206', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.27', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164426804
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1668, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.IX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.IX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.206', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.27', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164426805
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1669, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.IY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.IY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.206', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426807
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1670, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.IZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.IZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.206', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426808
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1671, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.JA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.JA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.206', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 164426809
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1672, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.JB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.JB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.206', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 164426810
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1673, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.JC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.JC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426811
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1674, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.JD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.JD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426812
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1675, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.JE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.JE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 164426813
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1676, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.JF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.JF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 164426814
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1677, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.JG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.JG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.196', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.27', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164426815
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1678, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.JH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.JH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.196', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.27', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164426816
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1679, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.JI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.JI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.196', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.27', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164426818
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1680, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.JJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.JJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.196', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.27', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164426819
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1681, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.JK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.JK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.196', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426820
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1682, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.JL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.JL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.196', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 164426821
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 32, 'counter': 1683, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.JM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.JM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.263', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4:C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426822
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 32, 'counter': 1684, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.JN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.JN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.261', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4\\times C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 164426823
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 32, 'counter': 1685, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.JO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.JO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.263', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4:C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426824
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 32, 'counter': 1686, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.JP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.JP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.261', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4\\times C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.45', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426825
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1687, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.JQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.JQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.196', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.27', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164426826
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1688, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.JR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.JR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.196', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.27', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164426827
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1689, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.JS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.JS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.196', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.27', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164426829
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1690, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.JT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.JT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.196', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.27', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164426830
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1691, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.JU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.JU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.196', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426831
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1692, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.JV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.JV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.196', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 164426832
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1693, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.JW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.JW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.263', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4:C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426833
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1694, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.JX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.JX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.196', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426834
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1695, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.JY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.JY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.196', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 164426835
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1696, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.JZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.JZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.196', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426836
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1697, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.KA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.KA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.206', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.27', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164426837
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1698, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.KB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.KB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.206', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.27', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164426838
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1699, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.KC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.KC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.206', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.27', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164426841
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1700, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.KD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.KD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.206', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.27', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164426842
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1701, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.KE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.KE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.206', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.27', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164426843
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1702, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.KF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.KF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.206', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.27', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164426844
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1703, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.KG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.KG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.206', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.27', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164426845
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1704, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.KH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.KH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.206', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.27', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
-
id: 164426846
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1705, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.KI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.KI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.206', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426847
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1706, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.KJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.KJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.206', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426848
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 1707, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.64._.KK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.KK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.138', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\wr C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.45', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426849
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 1708, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.128._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.2167', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426850
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 1709, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.128._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1755', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426852
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 16, 'counter': 1710, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.128._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.C', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1758', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426853
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 16, 'counter': 1711, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.128._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.D', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1758', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426854
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 16, 'counter': 1712, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.128._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.E', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1755', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426855
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 16, 'counter': 1713, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.128._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.F', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1755', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426856
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 1714, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.128._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.G', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1578', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426857
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 1715, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.128._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.H', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1578', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426858
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 1716, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.128._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.I', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1578', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426859
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 1717, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.128._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.J', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1578', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426860
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 1718, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.128._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.K', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1578', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426861
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 1719, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.128._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.L', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1578', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426863
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 16, 'counter': 1720, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.128._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.M', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1578', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426864
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 16, 'counter': 1721, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.128._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.N', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1578', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426865
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 1722, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.128._.O', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.O', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.2167', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426866
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 1723, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.128._.P', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.P', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.2167', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 164426867
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 1724, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.128._.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.Q', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.2163', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 164426868
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 16, 'counter': 1725, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.128._.R', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.R', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.2154', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426869
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 1726, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.128._.S', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.S', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.2154', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426870
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 1727, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.128._.T', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.T', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.2154', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426871
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 1728, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.128._.U', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.U', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1031', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.3', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426872
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 1729, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.128._.V', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.V', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1031', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 164426874
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 1730, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.128._.W', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.W', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1031', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426875
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 1731, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.128._.X', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.X', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1031', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.3', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426876
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 1732, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.128._.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.Y', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1031', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.3', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426877
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 1733, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.128._.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.Z', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1031', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 164426878
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 1734, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.128._.BA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.BA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1031', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426879
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 1735, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.128._.BB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.BB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1031', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.3', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426880
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 1736, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.128._.BC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.BC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1031', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.3', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426881
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 1737, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.128._.BD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.BD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1031', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.3', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426882
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 1738, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.128._.BE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.BE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1031', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 164426883
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 1739, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.128._.BF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.BF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1031', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426885
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 1740, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.128._.BG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.BG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1031', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.3', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426886
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 1741, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.128._.BH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.BH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1031', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.3', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426887
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 1742, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.128._.BI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.BI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1031', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 164426888
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 1743, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.128._.BJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.BJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1031', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426889
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 1744, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.128._.BK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.BK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1031', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.2', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426890
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 1745, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.128._.BL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.BL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1031', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426891
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 1746, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.128._.BM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.BM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1031', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.2', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426892
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 1747, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.128._.BN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.BN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1031', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.12', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times Q_8', 'supersolvable': True, 'sylow': 0}
-
id: 164426893
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 1748, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.128._.BO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.BO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1031', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.2', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426894
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 1749, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.128._.BP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.BP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1031', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426896
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 1750, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.128._.BQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.BQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1031', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.2', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426897
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 1751, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.128._.BR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.BR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1031', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.12', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times Q_8', 'supersolvable': True, 'sylow': 0}
-
id: 164426898
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 1752, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.128._.BS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.BS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1031', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426899
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 1753, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.128._.BT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.BT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1031', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.12', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times Q_8', 'supersolvable': True, 'sylow': 0}
-
id: 164426900
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 1754, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.128._.BU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.BU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1031', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.2', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426901
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 1755, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.128._.BV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.BV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1031', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.2', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426902
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 1756, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.128._.BW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.BW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1031', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426903
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 1757, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.128._.BX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.BX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1031', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.12', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times Q_8', 'supersolvable': True, 'sylow': 0}
-
id: 164426904
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 1758, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.128._.BY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.BY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1031', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.2', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426905
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 1759, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.128._.BZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.BZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1031', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.2', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 164426907
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 1760, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.128._.CA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.CA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1031', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.3', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426908
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 1761, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.128._.CB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.CB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1031', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.3', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426909
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 1762, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.128._.CC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.CC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1031', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 164426910
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 1763, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.128._.CD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.CD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1031', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 164426911
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 1764, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.128._.CE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.CE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1031', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.3', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426912
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 1765, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.128._.CF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.CF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1031', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.3', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426913
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 1766, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.128._.CG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.CG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1031', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 164426914
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 1767, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.128._.CH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.CH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1031', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 164426915
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 1768, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.128._.CI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.CI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1031', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.3', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426916
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 1769, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.128._.CJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.CJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1031', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.3', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426918
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 1770, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.128._.CK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.CK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1031', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 164426919
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 1771, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.128._.CL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.CL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1031', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 164426920
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 1772, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.128._.CM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.CM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1031', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.3', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426921
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 1773, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.128._.CN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.CN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1031', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.3', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426922
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 1774, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.128._.CO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.CO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1031', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 164426923
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 1775, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.128._.CP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.CP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1031', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 164426924
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 1776, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.128._.CQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.CQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1757', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 164426925
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 1777, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.128._.CR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.CR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1757', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 164426926
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 1778, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.128._.CS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.CS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1755', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 164426927
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 1779, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.128._.CT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.CT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1755', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 164426929
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 1780, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.128._.CU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.CU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1031', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 164426930
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 1781, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.128._.CV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.CV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1031', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426931
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 1782, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.128._.CW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.CW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1031', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 164426932
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 1783, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.128._.CX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.CX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1031', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 164426933
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 16, 'counter': 1784, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.128._.CY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.CY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.2154', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 164426934
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 1785, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.128._.CZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.CZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.2154', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426935
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 1786, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.128._.DA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.DA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1031', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 164426936
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 1787, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.128._.DB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.DB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1031', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426937
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 1788, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.128._.DC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.DC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1031', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 164426938
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 1789, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.128._.DD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.DD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1031', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 164426940
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 1790, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.128._.DE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.DE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.2154', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426941
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 16, 'counter': 1791, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.128._.DF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.DF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.2154', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 164426942
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 1792, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.128._.DG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.DG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.2167', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 164426943
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 1793, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.128._.DH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.DH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.2167', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426944
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 1794, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.128._.DI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.DI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.2167', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426945
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 1795, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.128._.DJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.DJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.2163', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 164426946
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 1796, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.128._.DK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.DK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.2167', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426947
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 1797, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.128._.DL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.DL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.2167', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426948
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 1798, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.128._.DM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.DM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.2167', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426949
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 1799, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.128._.DN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.DN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.2163', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426952
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 1800, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.128._.DO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.DO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.2167', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426953
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 1801, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.128._.DP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.DP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.2167', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426954
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 1802, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.128._.DQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.DQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.2167', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 164426955
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 1803, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.128._.DR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.DR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.2163', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 164426956
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 1804, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.128._.DS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.DS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.2167', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426957
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 1805, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.128._.DT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.DT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.2167', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426958
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 1806, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.128._.DU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.DU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.2167', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426959
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 1807, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.128._.DV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.DV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.2163', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426960
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 1808, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.128._.DW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.DW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.2167', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426961
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 1809, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.128._.DX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.DX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.2167', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426963
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 1810, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.128._.DY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.DY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.2167', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 164426964
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 1811, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.128._.DZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.DZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.2163', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 164426965
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 16, 'counter': 1812, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.128._.EA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.EA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.2167', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 164426966
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 16, 'counter': 1813, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.128._.EB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.EB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.2167', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426967
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 16, 'counter': 1814, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.128._.EC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.EC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.2167', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 164426968
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 16, 'counter': 1815, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.128._.ED', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.ED', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.2163', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 164426969
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 1816, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.128._.EE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.EE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1755', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426970
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 8, 'counter': 1817, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.256._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.27015', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': None, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 164426971
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 8, 'counter': 1818, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.256._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.25886', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': None, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426972
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 8, 'counter': 1819, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.256._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.C', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.25886', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': None, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426974
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': True, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 8, 'counter': 1820, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.256._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.D', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.25886', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': None, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426975
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 8, 'counter': 1821, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.256._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.E', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.27015', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': None, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 164426976
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 8, 'counter': 1822, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.256._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.F', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.27015', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': None, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 164426977
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 8, 'counter': 1823, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.256._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.G', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.14467', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4.C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': None, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 164426978
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 8, 'counter': 1824, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.256._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.H', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.14467', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4.C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': None, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 164426979
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 8, 'counter': 1825, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.256._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.I', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.14467', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4.C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': None, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 164426980
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 8, 'counter': 1826, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.256._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.J', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.14467', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4.C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': None, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 164426981
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 8, 'counter': 1827, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.256._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.K', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.53386', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': None, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 164426982
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 8, 'counter': 1828, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.256._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.L', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.53383', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': None, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 164426983
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 8, 'counter': 1829, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.256._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.M', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.53382', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': None, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 164426985
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 8, 'counter': 1830, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.256._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.N', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.53380', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': None, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 164426986
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 8, 'counter': 1831, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.256._.O', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.O', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.29602', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': None, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 164426987
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 8, 'counter': 1832, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.256._.P', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.P', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.29602', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': None, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 164426988
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 8, 'counter': 1833, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.256._.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.Q', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.29602', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': None, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426989
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 8, 'counter': 1834, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.256._.R', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.R', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.29602', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': None, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426990
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 8, 'counter': 1835, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.256._.S', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.S', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.29602', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': None, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 164426991
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 8, 'counter': 1836, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.256._.T', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.T', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.29602', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': None, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 164426992
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 8, 'counter': 1837, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.256._.U', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.U', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.29602', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': None, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 164426993
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 8, 'counter': 1838, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.256._.V', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.V', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.29598', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': None, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 164426994
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 8, 'counter': 1839, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.256._.W', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.W', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.27015', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': None, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426996
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 8, 'counter': 1840, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.256._.X', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.X', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.27015', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': None, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 164426997
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 8, 'counter': 1841, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.256._.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.Y', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.27015', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': None, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164426998
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 8, 'counter': 1842, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.256._.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.Z', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.27015', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': None, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 164426999
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 8, 'counter': 1843, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.256._.BA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.BA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.25886', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': None, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427000
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': True, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4, 'counter': 1844, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '2048.cqm.512._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.418986', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': None, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427001
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': True, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4, 'counter': 1845, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '2048.cqm.512._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.418986', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': None, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
-
id: 164427002
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 4, 'counter': 1846, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.512._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.C', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.6536087', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4.C_2^5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': None, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
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id: 164427003
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 4, 'counter': 1847, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.512._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.D', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.6536585', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4.C_2^5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': None, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
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id: 164427004
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 4, 'counter': 1848, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.512._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.E', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.6536582', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4.C_2^5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': None, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
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id: 164427005
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': True, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 4, 'counter': 1849, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.512._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.F', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.6536083', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^6:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': None, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
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id: 164427007
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 4, 'counter': 1850, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.512._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.G', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.6279920', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4.C_2^5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': None, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
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id: 164427008
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 4, 'counter': 1851, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.512._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.H', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.514818', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4.C_2^5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': None, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
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id: 164427009
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 4, 'counter': 1852, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2048.cqm.512._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.I', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.6279926', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5.C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': None, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
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id: 164427010
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': True, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 2, 'counter': 1853, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '2048.cqm.1024._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '1024.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 1024, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5.C_2^5', 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': True, 'subgroup': '2.1', 'subgroup_hash': None, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
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id: 164427011
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': True, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 2, 'counter': 1854, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '2048.cqm.1024._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '1024.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '1024.dhz', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 1024, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^7:D_4', 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': None, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
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id: 164427012
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': True, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 2, 'counter': 1855, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '2048.cqm.1024._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '1024.C', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 1024, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^6.C_2', 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': None, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
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id: 164427013
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '2048.cqm', 'ambient_counter': 1781, 'ambient_order': 2048, 'ambient_tex': '(C_4\\times D_4^2).D_4', 'central': True, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 1, 'counter': 1856, 'cyclic': True, 'direct': None, 'hall': 1, 'label': '2048.cqm.2048.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2048.A', 'outer_equivalence': False, 'perfect': True, 'proper': False, 'quotient': '2048.cqm', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 2048, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '(C_4\\times D_4^2).D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': True, 'subgroup': '1.1', 'subgroup_hash': None, 'subgroup_order': 1, 'subgroup_tex': 'C_1', 'supersolvable': True, 'sylow': 1}
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gps_subgroup_data • Show schema
Hide schema
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id: 164426989
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412371901815177593, 2202858817115774000], 'label': '2048.cqm.256._.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.R', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.R', 'subgroup_fusion': None, 'weyl_group': None}
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id: 164426990
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 2202858817115774000, 39940391810826879], 'label': '2048.cqm.256._.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.S', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.S', 'subgroup_fusion': None, 'weyl_group': None}
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id: 164426991
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 27491244649896423, 2202858817115774000], 'label': '2048.cqm.256._.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.T', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.T', 'subgroup_fusion': None, 'weyl_group': None}
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id: 164426992
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 6422263352438607, 2202858817115774000], 'label': '2048.cqm.256._.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.U', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.U', 'subgroup_fusion': None, 'weyl_group': None}
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id: 164426993
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 2202858817115774000], 'label': '2048.cqm.256._.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.V', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.V', 'subgroup_fusion': None, 'weyl_group': None}
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id: 164426994
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 2202858817115774000, 1405954962621861654], 'label': '2048.cqm.256._.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.W', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.W', 'subgroup_fusion': None, 'weyl_group': None}
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id: 164426579
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1445819334312111366, 19709062341273, 2202858817115774000, 6402554290097334], 'label': '2048.cqm.64._.BC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.BC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.BC', 'subgroup_fusion': None, 'weyl_group': None}
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id: 164426155
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 2202858817115774000, 222245871362007680, 27478167880813957, 1405954962621861654], 'label': '2048.cqm.32._.BP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BP', 'subgroup_fusion': None, 'weyl_group': None}
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id: 164426580
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 2202858817115774000, 1412301206372233014, 6402554290097334], 'label': '2048.cqm.64._.BD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.BD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.BD', 'subgroup_fusion': None, 'weyl_group': None}
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id: 164426156
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 2202858817115774000, 708722948040923330, 27478167880813957, 1405954962621861654], 'label': '2048.cqm.32._.BQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BQ', 'subgroup_fusion': None, 'weyl_group': None}
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id: 164426157
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 2202858817115774000, 708722948040923330, 6632332767393, 1405954962621861654], 'label': '2048.cqm.32._.BR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BR', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426078
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 249256937241876782, 2202858817115774000, 27432399120806406, 6402554290097334], 'label': '2048.cqm.16._.OC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.OC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.OC', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426079
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 27475552499010030, 2202858817115774000, 857420946617059946, 106040900676486, 6402554290097334], 'label': '2048.cqm.16._.OD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.OD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.OD', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426080
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 2202858817115774000, 857420946617059946, 64163346428214, 6402554290097334], 'label': '2048.cqm.16._.OE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.OE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.OE', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426158
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 2202858817115774000, 222245871362007680, 6632332767393, 1405954962621861654], 'label': '2048.cqm.32._.BS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BS', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426159
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 2202858817115774000, 343870048901157680, 6632332767393, 1405954962621861654], 'label': '2048.cqm.32._.BT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BT', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426581
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 2202858817115774000, 69481734261207, 6402554290097334], 'label': '2048.cqm.64._.BE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.BE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.BE', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426582
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 27436328447544733, 2202858817115774000, 6402554290097334], 'label': '2048.cqm.64._.BF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.BF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.BF', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426160
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 2202858817115774000, 952054988251263650, 6632332767393, 1405954962621861654], 'label': '2048.cqm.32._.BU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BU', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426161
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 2202858817115774000, 857420946617059946, 27478167880813957], 'label': '2048.cqm.32._.BV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BV', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426199
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 39945647237045814, 27475552499010030, 2202858817115774000, 1412363961888284160], 'label': '2048.cqm.32._.DC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.DC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.DC', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426200
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 27475552499010030, 2202858817115774000, 1412363961888284160, 1433069347229654934], 'label': '2048.cqm.32._.DD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.DD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.DD', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426201
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1445518494390943200, 1980598492144166904, 19709062341273, 27475552499010030, 2202858817115774000, 1412363961888284160], 'label': '2048.cqm.32._.DE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.DE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.DE', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426583
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 6422263352438607, 27475552499010030, 2202858817115774000, 27496500075031680], 'label': '2048.cqm.64._.BG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.BG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.BG', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426202
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1445518494390943200, 1980598492144166904, 19709062341273, 27475552499010030, 2202858817115774000, 1405961501004627894], 'label': '2048.cqm.32._.DF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.DF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.DF', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426203
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 27475552499010030, 2202858817115774000, 1405961501004627894, 1433069347229654934], 'label': '2048.cqm.32._.DG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.DG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.DG', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426204
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 39945647237045814, 27475552499010030, 2202858817115774000, 1405961501004627894], 'label': '2048.cqm.32._.DH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.DH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.DH', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426205
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 27475552499010030, 2202858817115774000, 27496500075031680, 1405961501004627894], 'label': '2048.cqm.32._.DI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.DI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.DI', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426081
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 2202858817115774000, 857420946617059946, 27432399120806406, 6402554290097334], 'label': '2048.cqm.16._.OF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.OF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.OF', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426116
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 857525679796802210, 1433321809817448006, 2202858817115774000, 6409186622864727], 'label': '2048.cqm.32._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.G', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426578
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 27499115456835873, 27475552499010030, 2202858817115774000], 'label': '2048.cqm.64._.BB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.BB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.BB', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426117
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 857525679796802210, 1433321809817448006, 2202858817115774000, 27478167880813957], 'label': '2048.cqm.32._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.H', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426061
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': '1.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [27432399120806406, 1412357423505517920, 1980598492144166904, 27475552499010030, 6402554290097334, 857420946617059946, 6632332767393, 19709062341273, 2202858817115774000, 95013810648341670, 27496500075031680], 'label': '2048.cqm.1.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426062
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27499115456835873, 27475552499010030, 6402554290097334, 857420946617059946, 19709062341273, 95020355265755311, 27436328447544733, 2202858817115774000], 'label': '2048.cqm.2._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2._.I', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426063
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 111359288509213, 1980598492144166904, 27475552499010030, 6402554290097334, 857420946617059946, 19709062341273, 2202858817115774000, 95013810648341670], 'label': '2048.cqm.4._.CP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.CP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.CP', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426064
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 27432399120806406, 1980598492144166904, 27475552499010030, 95030904350651437, 6402554290097334, 2202858817115774000], 'label': '2048.cqm.16._.NP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.NP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.NP', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426065
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 27449405176750719, 27475552499010030, 2202858817115774000, 95013810648341670, 6402554290097334], 'label': '2048.cqm.16._.NQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.NQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.NQ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426066
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 27449405176750719, 27475552499010030, 2202858817115774000, 872709925102073863, 6402554290097334], 'label': '2048.cqm.16._.NR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.NR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.NR', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426067
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 27432399120806406, 1980598492144166904, 27475552499010030, 6402554290097334, 872709925102073863, 2202858817115774000], 'label': '2048.cqm.16._.NS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.NS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.NS', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426068
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27475552499010030, 6402554290097334, 857436732645006149, 106040900676486, 2202858817115774000], 'label': '2048.cqm.16._.NT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.NT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.NT', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426069
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 27449405176750719, 27475552499010030, 2202858817115774000, 872694139074127638, 6402554290097334], 'label': '2048.cqm.16._.NU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.NU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.NU', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426070
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 27432399120806406, 1980598492144166904, 872694139074127638, 27475552499010030, 6402554290097334, 2202858817115774000], 'label': '2048.cqm.16._.NV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.NV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.NV', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426071
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 27491244649896423, 249256937241876782, 2202858817115774000, 64163346428214, 6402554290097334], 'label': '2048.cqm.16._.NW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.NW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.NW', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426072
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 27491244649896423, 249256937241876782, 2202858817115774000, 27432399120806406, 6402554290097334], 'label': '2048.cqm.16._.NX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.NX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.NX', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426073
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 124442244695679, 1980598492144166904, 27475552499010030, 6402554290097334, 857420946617059946, 2202858817115774000], 'label': '2048.cqm.16._.NY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.NY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.NY', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426074
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 27432399120806406, 1980598492144166904, 95119763805605190, 27475552499010030, 6402554290097334, 857420946617059946, 19709062341273, 2202858817115774000], 'label': '2048.cqm.4._.CQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.CQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.CQ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426075
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 27491244649896423, 2202858817115774000, 857420946617059946, 64163346428214, 6402554290097334], 'label': '2048.cqm.16._.NZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.NZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.NZ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426076
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 27491244649896423, 2202858817115774000, 857420946617059946, 27432399120806406, 6402554290097334], 'label': '2048.cqm.16._.OA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.OA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.OA', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426077
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 249256937241876782, 2202858817115774000, 64163346428214, 6402554290097334], 'label': '2048.cqm.16._.OB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.OB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.OB', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426082
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27475552499010030, 27449405176750719, 6402554290097334, 857436732645006149, 2202858817115774000], 'label': '2048.cqm.16._.OG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.OG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.OG', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426083
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 27432399120806406, 1980598492144166904, 27475552499010030, 6402554290097334, 2202858817115774000, 95013810648341670], 'label': '2048.cqm.16._.OH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.OH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.OH', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426084
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27475552499010030, 6422263352438607, 39945647237045814, 614088906406724664, 2202858817115774000], 'label': '2048.cqm.16._.OI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.OI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.OI', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426085
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 27475552499010030, 2202858817115774000, 857420946617059946, 106040900676486, 95119763805605190, 6402554290097334], 'label': '2048.cqm.4._.CR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.CR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.CR', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426086
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 6422263352438607, 27475552499010030, 2202858817115774000, 27496500075031680, 614088906406724664], 'label': '2048.cqm.16._.OJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.OJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.OJ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426087
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27475552499010030, 857420946617059946, 6422263352438607, 39945647237045814, 2202858817115774000], 'label': '2048.cqm.16._.OK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.OK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.OK', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426088
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 6422263352438607, 27475552499010030, 2202858817115774000, 857420946617059946, 27496500075031680], 'label': '2048.cqm.16._.OL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.OL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.OL', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426089
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 39945647237045814, 27475552499010030, 2202858817115774000, 614088906406724664], 'label': '2048.cqm.16._.OM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.OM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.OM', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426090
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 27475552499010030, 2202858817115774000, 27496500075031680, 614088906406724664], 'label': '2048.cqm.16._.ON', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.ON', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.ON', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426091
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 39945647237045814, 27475552499010030, 2202858817115774000, 857420946617059946], 'label': '2048.cqm.16._.OO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.OO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.OO', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426092
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 27475552499010030, 2202858817115774000, 857420946617059946, 27496500075031680], 'label': '2048.cqm.16._.OP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.OP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.OP', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426093
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27475552499010030, 6402554290097334, 19709062341273, 918331651133156404, 2202858817115774000], 'label': '2048.cqm.16._.OQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.OQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.OQ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426094
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 872802701373451852, 27475552499010030, 2202858817115774000, 6402554290097334], 'label': '2048.cqm.16._.OR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.OR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.OR', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426095
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 27475552499010030, 2202858817115774000, 857530910508834410, 6402554290097334], 'label': '2048.cqm.16._.OS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.OS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.OS', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426096
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 95119763805605190, 27475552499010030, 6402554290097334, 857420946617059946, 19709062341273, 27436328447544733, 2202858817115774000], 'label': '2048.cqm.4._.CS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.CS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.CS', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426097
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [27432399120806406, 1412357423505517920, 1980598492144166904, 27475552499010030, 6402554290097334, 857436732645006149, 2202858817115774000], 'label': '2048.cqm.16._.OT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.OT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.OT', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426098
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 872798777849528330, 27475552499010030, 2202858817115774000, 6402554290097334], 'label': '2048.cqm.16._.OU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.OU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.OU', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426099
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27475552499010030, 6402554290097334, 857436732645006149, 2202858817115774000, 27496500075031680], 'label': '2048.cqm.16._.OV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.OV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.OV', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426100
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 73778600509622286, 27475552499010030, 2202858817115774000, 6402554290097334], 'label': '2048.cqm.16._.OW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.OW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.OW', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426101
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 27432399120806406, 1980598492144166904, 27475552499010030, 6402554290097334, 19709062341273, 2202858817115774000], 'label': '2048.cqm.16._.OX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.OX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.OX', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426102
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 857525679796802210, 27475552499010030, 2202858817115774000, 6402554290097334], 'label': '2048.cqm.16._.OY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.OY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.OY', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426103
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 27449405176750719, 27475552499010030, 2202858817115774000, 857420946617059946, 6402554290097334], 'label': '2048.cqm.16._.OZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.OZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.OZ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426104
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27475552499010030, 6402554290097334, 27512198413390233, 857420946617059946, 2202858817115774000], 'label': '2048.cqm.16._.PA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.PA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.PA', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426105
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 27475552499010030, 2202858817115774000, 872694139074127638, 6402554290097334], 'label': '2048.cqm.16._.PB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.PB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.PB', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426106
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 27475552499010030, 2202858817115774000, 73672654056506286, 6402554290097334], 'label': '2048.cqm.16._.PC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.PC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.PC', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426107
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 111359288509213, 1980598492144166904, 95119763805605190, 27475552499010030, 6402554290097334, 857420946617059946, 19709062341273, 2202858817115774000], 'label': '2048.cqm.4._.CT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.CT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.CT', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426108
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27475552499010030, 6402554290097334, 857426177329455146, 19709062341273, 2202858817115774000], 'label': '2048.cqm.16._.PD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.PD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.PD', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426109
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27475552499010030, 6402554290097334, 27512198413390233, 857436732645006149, 2202858817115774000], 'label': '2048.cqm.16._.PE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.PE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.PE', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426110
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 1433321809817448006, 2202858817115774000, 249152297505114800, 39927315041744413], 'label': '2048.cqm.32._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.A', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426111
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 614193546141273410, 19709062341273, 1433321809817448006, 2202858817115774000, 39927315041744413], 'label': '2048.cqm.32._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.B', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426112
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 127549036488955520, 19709062341273, 1433321809817448006, 2202858817115774000, 39927315041744413], 'label': '2048.cqm.32._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.C', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426113
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 127549036488955520, 19709062341273, 1433321809817448006, 2202858817115774000, 6409186622864727], 'label': '2048.cqm.32._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.D', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426114
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 614193546141273410, 19709062341273, 1433321809817448006, 2202858817115774000, 6409186622864727], 'label': '2048.cqm.32._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.E', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426115
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 1433321809817448006, 2202858817115774000, 249152297505114800, 6409186622864727], 'label': '2048.cqm.32._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.F', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426118
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 27432399120806406, 1980598492144166904, 27475552499010030, 6402554290097334, 857420946617059946, 19709062341273, 95020355265755311, 2202858817115774000], 'label': '2048.cqm.4._.CU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.CU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.CU', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426119
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 1433321809817448006, 2202858817115774000, 27478167880813957, 249152297505114800], 'label': '2048.cqm.32._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.I', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426120
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 614193546141273410, 19709062341273, 1433321809817448006, 2202858817115774000, 27478167880813957], 'label': '2048.cqm.32._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.J', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426121
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 127549036488955520, 19709062341273, 1433321809817448006, 2202858817115774000, 27478167880813957], 'label': '2048.cqm.32._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.K', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426122
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 127549036488955520, 19709062341273, 1433321809817448006, 2202858817115774000, 6632332767393], 'label': '2048.cqm.32._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.L', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426123
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 614193546141273410, 19709062341273, 1433321809817448006, 2202858817115774000, 6632332767393], 'label': '2048.cqm.32._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.M', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426124
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 1433321809817448006, 2202858817115774000, 249152297505114800, 6632332767393], 'label': '2048.cqm.32._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.N', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426125
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 857525679796802210, 1433321809817448006, 2202858817115774000, 6632332767393], 'label': '2048.cqm.32._.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.O', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.O', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426126
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 952117781490112106, 2202858817115774000, 27478167880813957, 1445770956979819950], 'label': '2048.cqm.32._.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.P', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.P', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426127
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 2202858817115774000, 27478167880813957, 1445770956979819950, 708806657802767544], 'label': '2048.cqm.32._.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.Q', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.Q', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426128
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [222183078125368166, 1980598492144166904, 19709062341273, 2202858817115774000, 27478167880813957, 1445770956979819950], 'label': '2048.cqm.32._.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.R', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.R', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426129
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 27475552499010030, 2202858817115774000, 857420946617059946, 106040900676486, 95020355265755311, 6402554290097334], 'label': '2048.cqm.4._.CV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.CV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.CV', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426130
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 2202858817115774000, 27478167880813957, 1445770956979819950, 343786339141526702], 'label': '2048.cqm.32._.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.S', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.S', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426131
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 2202858817115774000, 39927315041744413, 1445770956979819950, 343786339141526702], 'label': '2048.cqm.32._.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.T', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.T', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426132
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [222183078125368166, 1980598492144166904, 19709062341273, 2202858817115774000, 39927315041744413, 1445770956979819950], 'label': '2048.cqm.32._.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.U', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.U', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426133
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 2202858817115774000, 39927315041744413, 1445770956979819950, 708806657802767544], 'label': '2048.cqm.32._.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.V', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.V', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426134
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 952117781490112106, 2202858817115774000, 39927315041744413, 1445770956979819950], 'label': '2048.cqm.32._.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.W', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.W', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426135
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 952117781490112106, 2202858817115774000, 1445770956979819950, 6409186622864727], 'label': '2048.cqm.32._.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.X', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.X', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426136
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 2202858817115774000, 1445770956979819950, 708806657802767544, 6409186622864727], 'label': '2048.cqm.32._.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.Y', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.Y', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426137
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [222183078125368166, 1980598492144166904, 19709062341273, 2202858817115774000, 1445770956979819950, 6409186622864727], 'label': '2048.cqm.32._.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.Z', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.Z', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426138
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 2202858817115774000, 1445770956979819950, 343786339141526702, 6409186622864727], 'label': '2048.cqm.32._.BA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BA', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426139
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 2202858817115774000, 1445770956979819950, 6632332767393, 343786339141526702], 'label': '2048.cqm.32._.BB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BB', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426140
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27475552499010030, 6402554290097334, 857420946617059946, 19709062341273, 95020355265755311, 27436328447544733, 2202858817115774000], 'label': '2048.cqm.4._.CW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.CW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.CW', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426141
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [222183078125368166, 1980598492144166904, 19709062341273, 2202858817115774000, 1445770956979819950, 6632332767393], 'label': '2048.cqm.32._.BC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BC', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426142
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 2202858817115774000, 1445770956979819950, 6632332767393, 708806657802767544], 'label': '2048.cqm.32._.BD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BD', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426143
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 952117781490112106, 2202858817115774000, 1445770956979819950, 6632332767393], 'label': '2048.cqm.32._.BE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BE', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426144
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 2202858817115774000, 952054988251263650, 1405954962621861654, 6409186622864727], 'label': '2048.cqm.32._.BF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BF', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426145
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 2202858817115774000, 343870048901157680, 1405954962621861654, 6409186622864727], 'label': '2048.cqm.32._.BG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BG', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426146
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 2202858817115774000, 222245871362007680, 1405954962621861654, 6409186622864727], 'label': '2048.cqm.32._.BH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BH', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426147
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 2202858817115774000, 708722948040923330, 1405954962621861654, 6409186622864727], 'label': '2048.cqm.32._.BI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BI', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426148
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 2202858817115774000, 708722948040923330, 39927315041744413, 1405954962621861654], 'label': '2048.cqm.32._.BJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BJ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426149
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 2202858817115774000, 222245871362007680, 39927315041744413, 1405954962621861654], 'label': '2048.cqm.32._.BK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BK', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426150
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 2202858817115774000, 39927315041744413, 343870048901157680, 1405954962621861654], 'label': '2048.cqm.32._.BL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BL', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426151
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 111359288509213, 1980598492144166904, 27475552499010030, 6402554290097334, 857420946617059946, 19709062341273, 95020355265755311, 2202858817115774000], 'label': '2048.cqm.4._.CX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.CX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.CX', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426152
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 2202858817115774000, 952054988251263650, 39927315041744413, 1405954962621861654], 'label': '2048.cqm.32._.BM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BM', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426153
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 2202858817115774000, 27478167880813957, 952054988251263650, 1405954962621861654], 'label': '2048.cqm.32._.BN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BN', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426154
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 2202858817115774000, 27478167880813957, 343870048901157680, 1405954962621861654], 'label': '2048.cqm.32._.BO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BO', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426162
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 27432399120806406, 1980598492144166904, 27475552499010030, 6402554290097334, 857420946617059946, 19709062341273, 2202858817115774000, 95124994561138351], 'label': '2048.cqm.4._.CY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.CY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.CY', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426163
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 2202858817115774000, 27478167880813957, 614088906406724664], 'label': '2048.cqm.32._.BW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BW', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426164
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 2202858817115774000, 127653769671309926, 27478167880813957], 'label': '2048.cqm.32._.BX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BX', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426165
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 249256937241876782, 2202858817115774000, 27478167880813957], 'label': '2048.cqm.32._.BY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BY', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426166
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 249256937241876782, 2202858817115774000, 39927315041744413], 'label': '2048.cqm.32._.BZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BZ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426167
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 2202858817115774000, 127653769671309926, 39927315041744413], 'label': '2048.cqm.32._.CA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.CA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.CA', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426168
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 2202858817115774000, 39927315041744413, 614088906406724664], 'label': '2048.cqm.32._.CB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.CB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.CB', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426169
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 2202858817115774000, 857420946617059946, 39927315041744413], 'label': '2048.cqm.32._.CC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.CC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.CC', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426170
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 2202858817115774000, 857420946617059946, 6409186622864727], 'label': '2048.cqm.32._.CD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.CD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.CD', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426171
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 2202858817115774000, 614088906406724664, 6409186622864727], 'label': '2048.cqm.32._.CE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.CE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.CE', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426172
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 2202858817115774000, 127653769671309926, 6409186622864727], 'label': '2048.cqm.32._.CF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.CF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.CF', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426173
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [27432399120806406, 1412357423505517920, 1980598492144166904, 27499115456835873, 27475552499010030, 6402554290097334, 857420946617059946, 19709062341273, 95020355265755311, 2202858817115774000], 'label': '2048.cqm.2._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2._.J', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426174
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27475552499010030, 6402554290097334, 857420946617059946, 19709062341273, 106040900676486, 2202858817115774000, 95124994561138351], 'label': '2048.cqm.4._.CZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.CZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.CZ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426175
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 249256937241876782, 2202858817115774000, 6409186622864727], 'label': '2048.cqm.32._.CG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.CG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.CG', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426176
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 249256937241876782, 2202858817115774000, 6632332767393], 'label': '2048.cqm.32._.CH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.CH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.CH', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426177
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 2202858817115774000, 127653769671309926, 6632332767393], 'label': '2048.cqm.32._.CI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.CI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.CI', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426178
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 2202858817115774000, 6632332767393, 614088906406724664], 'label': '2048.cqm.32._.CJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.CJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.CJ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426179
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 2202858817115774000, 857420946617059946, 6632332767393], 'label': '2048.cqm.32._.CK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.CK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.CK', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426180
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 39924699659940486, 2202858817115774000, 106040900676486, 1412363961888284160], 'label': '2048.cqm.32._.CL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.CL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.CL', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426181
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 39924699659940486, 2202858817115774000, 27559256030933814, 1412363961888284160], 'label': '2048.cqm.32._.CM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.CM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.CM', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426182
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 39924699659940486, 2202858817115774000, 1445833656288242454, 1412363961888284160], 'label': '2048.cqm.32._.CN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.CN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.CN', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426183
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 39924699659940486, 2202858817115774000, 1412084138643906246, 1412363961888284160], 'label': '2048.cqm.32._.CO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.CO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.CO', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426184
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 39924699659940486, 2202858817115774000, 1445777495359285230, 1412084138643906246], 'label': '2048.cqm.32._.CP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.CP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.CP', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426185
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27475552499010030, 6402554290097334, 857420946617059946, 19709062341273, 27436328447544733, 2202858817115774000, 95124994561138351], 'label': '2048.cqm.4._.DA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.DA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.DA', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426186
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 39924699659940486, 2202858817115774000, 1445777495359285230, 1445833656288242454], 'label': '2048.cqm.32._.CQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.CQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.CQ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426187
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 39924699659940486, 2202858817115774000, 27559256030933814, 1445777495359285230], 'label': '2048.cqm.32._.CR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.CR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.CR', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426188
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 39924699659940486, 2202858817115774000, 1445777495359285230, 106040900676486], 'label': '2048.cqm.32._.CS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.CS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.CS', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426189
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 39924699659940486, 2202858817115774000, 27478167880813957, 106040900676486], 'label': '2048.cqm.32._.CT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.CT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.CT', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426190
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 39924699659940486, 2202858817115774000, 27559256030933814, 27478167880813957], 'label': '2048.cqm.32._.CU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.CU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.CU', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426191
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 39924699659940486, 2202858817115774000, 27478167880813957, 1445833656288242454], 'label': '2048.cqm.32._.CV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.CV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.CV', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426192
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 39924699659940486, 2202858817115774000, 27478167880813957, 1412084138643906246], 'label': '2048.cqm.32._.CW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.CW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.CW', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426193
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 39924699659940486, 2202858817115774000, 1412084138643906246, 6632332767393], 'label': '2048.cqm.32._.CX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.CX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.CX', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426194
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 39924699659940486, 2202858817115774000, 1445833656288242454, 6632332767393], 'label': '2048.cqm.32._.CY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.CY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.CY', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426195
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 39924699659940486, 2202858817115774000, 27559256030933814, 6632332767393], 'label': '2048.cqm.32._.CZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.CZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.CZ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426196
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 111359288509213, 1980598492144166904, 27475552499010030, 6402554290097334, 857420946617059946, 19709062341273, 2202858817115774000, 95124994561138351], 'label': '2048.cqm.4._.DB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.DB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.DB', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426197
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 39924699659940486, 2202858817115774000, 106040900676486, 6632332767393], 'label': '2048.cqm.32._.DA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.DA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.DA', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426198
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 27475552499010030, 2202858817115774000, 27496500075031680, 1412363961888284160], 'label': '2048.cqm.32._.DB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.DB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.DB', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426206
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 27475552499010030, 2202858817115774000, 27496500075031680, 6409186622864727], 'label': '2048.cqm.32._.DJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.DJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.DJ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426207
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [27432399120806406, 1412357423505517920, 1980598492144166904, 27475552499010030, 6402554290097334, 857426177329455146, 19709062341273, 2202858817115774000, 95013810648341670], 'label': '2048.cqm.4._.DC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.DC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.DC', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426208
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 39945647237045814, 27475552499010030, 2202858817115774000, 6409186622864727], 'label': '2048.cqm.32._.DK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.DK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.DK', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426209
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 27475552499010030, 2202858817115774000, 1433069347229654934, 6409186622864727], 'label': '2048.cqm.32._.DL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.DL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.DL', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426210
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1445518494390943200, 1980598492144166904, 19709062341273, 27475552499010030, 2202858817115774000, 6409186622864727], 'label': '2048.cqm.32._.DM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.DM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.DM', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426211
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1445518494390943200, 1980598492144166904, 19709062341273, 27475552499010030, 2202858817115774000, 6632332767393], 'label': '2048.cqm.32._.DN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.DN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.DN', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426212
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 27475552499010030, 2202858817115774000, 6632332767393, 1433069347229654934], 'label': '2048.cqm.32._.DO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.DO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.DO', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426213
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 39945647237045814, 27475552499010030, 2202858817115774000, 6632332767393], 'label': '2048.cqm.32._.DP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.DP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.DP', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426214
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 27475552499010030, 2202858817115774000, 27496500075031680, 6632332767393], 'label': '2048.cqm.32._.DQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.DQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.DQ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426215
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 2202858817115774000, 1445770956979819950, 708821048981723667, 1405954962621861654, 708737339215842317], 'label': '2048.cqm.32._.DR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.DR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.DR', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426216
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 952069379426182637, 2202858817115774000, 1445770956979819950, 708821048981723667, 1405954962621861654], 'label': '2048.cqm.32._.DS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.DS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.DS', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426217
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 2202858817115774000, 1445770956979819950, 1405954962621861654, 708737339215842317, 952132172669068229], 'label': '2048.cqm.32._.DT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.DT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.DT', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426218
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27475552499010030, 6402554290097334, 857426177329455146, 19709062341273, 106040900676486, 2202858817115774000, 95013810648341670], 'label': '2048.cqm.4._.DD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.DD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.DD', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426219
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 952069379426182637, 2202858817115774000, 1445770956979819950, 1405954962621861654, 952132172669068229], 'label': '2048.cqm.32._.DU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.DU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.DU', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426220
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 2202858817115774000, 708722948040923330, 1445770956979819950, 708821048981723667, 1405954962621861654], 'label': '2048.cqm.32._.DV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.DV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.DV', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426221
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 2202858817115774000, 952054988251263650, 1445770956979819950, 708821048981723667, 1405954962621861654], 'label': '2048.cqm.32._.DW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.DW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.DW', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426222
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 2202858817115774000, 708722948040923330, 1445770956979819950, 1405954962621861654, 952132172669068229], 'label': '2048.cqm.32._.DX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.DX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.DX', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426223
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 2202858817115774000, 952054988251263650, 1445770956979819950, 1405954962621861654, 952132172669068229], 'label': '2048.cqm.32._.DY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.DY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.DY', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426224
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 2202858817115774000, 1445770956979819950, 1405954962621861654, 708737339215842317, 708806657802767544], 'label': '2048.cqm.32._.DZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.DZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.DZ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426225
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 952069379426182637, 2202858817115774000, 1445770956979819950, 1405954962621861654, 708806657802767544], 'label': '2048.cqm.32._.EA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.EA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.EA', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426226
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 952117781490112106, 2202858817115774000, 1445770956979819950, 1405954962621861654, 708737339215842317], 'label': '2048.cqm.32._.EB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.EB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.EB', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426227
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 952117781490112106, 952069379426182637, 2202858817115774000, 1445770956979819950, 1405954962621861654], 'label': '2048.cqm.32._.EC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.EC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.EC', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426228
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 2202858817115774000, 708722948040923330, 1445770956979819950, 1405954962621861654, 708806657802767544], 'label': '2048.cqm.32._.ED', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.ED', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.ED', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426229
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27475552499010030, 6402554290097334, 857426177329455146, 19709062341273, 27436328447544733, 2202858817115774000, 95013810648341670], 'label': '2048.cqm.4._.DE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.DE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.DE', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426230
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 2202858817115774000, 952054988251263650, 1445770956979819950, 1405954962621861654, 708806657802767544], 'label': '2048.cqm.32._.EE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.EE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.EE', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426231
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 952117781490112106, 2202858817115774000, 708722948040923330, 1445770956979819950, 1405954962621861654], 'label': '2048.cqm.32._.EF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.EF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.EF', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426232
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 952117781490112106, 2202858817115774000, 952054988251263650, 1445770956979819950, 1405954962621861654], 'label': '2048.cqm.32._.EG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.EG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.EG', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426233
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 27475552499010030, 2202858817115774000, 1405954962621861654, 708737339215842317, 39961345575404367], 'label': '2048.cqm.32._.EH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.EH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.EH', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426234
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 952069379426182637, 27475552499010030, 2202858817115774000, 1405954962621861654, 39961345575404367], 'label': '2048.cqm.32._.EI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.EI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.EI', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426235
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 27475552499010030, 2202858817115774000, 27512198413390233, 1405954962621861654, 708737339215842317], 'label': '2048.cqm.32._.EJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.EJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.EJ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426236
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 952069379426182637, 27475552499010030, 2202858817115774000, 27512198413390233, 1405954962621861654], 'label': '2048.cqm.32._.EK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.EK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.EK', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426237
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 27475552499010030, 2202858817115774000, 708722948040923330, 1405954962621861654, 39961345575404367], 'label': '2048.cqm.32._.EL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.EL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.EL', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426238
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 27475552499010030, 2202858817115774000, 952054988251263650, 1405954962621861654, 39961345575404367], 'label': '2048.cqm.32._.EM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.EM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.EM', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426239
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 27475552499010030, 2202858817115774000, 708722948040923330, 27512198413390233, 1405954962621861654], 'label': '2048.cqm.32._.EN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.EN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.EN', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426240
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 111359288509213, 1980598492144166904, 27475552499010030, 6402554290097334, 857426177329455146, 19709062341273, 2202858817115774000, 95013810648341670], 'label': '2048.cqm.4._.DF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.DF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.DF', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426241
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 27475552499010030, 2202858817115774000, 27512198413390233, 952054988251263650, 1405954962621861654], 'label': '2048.cqm.32._.EO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.EO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.EO', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426242
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 39945647237045814, 27475552499010030, 2202858817115774000, 1405954962621861654, 708737339215842317], 'label': '2048.cqm.32._.EP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.EP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.EP', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426243
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 39945647237045814, 952069379426182637, 27475552499010030, 2202858817115774000, 1405954962621861654], 'label': '2048.cqm.32._.EQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.EQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.EQ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426244
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 27475552499010030, 2202858817115774000, 27496500075031680, 1405954962621861654, 708737339215842317], 'label': '2048.cqm.32._.ER', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.ER', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.ER', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426245
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 952069379426182637, 27475552499010030, 2202858817115774000, 27496500075031680, 1405954962621861654], 'label': '2048.cqm.32._.ES', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.ES', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.ES', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426246
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 39945647237045814, 27475552499010030, 2202858817115774000, 708722948040923330, 1405954962621861654], 'label': '2048.cqm.32._.ET', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.ET', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.ET', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426247
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 39945647237045814, 27475552499010030, 2202858817115774000, 952054988251263650, 1405954962621861654], 'label': '2048.cqm.32._.EU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.EU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.EU', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426248
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 27475552499010030, 2202858817115774000, 708722948040923330, 27496500075031680, 1405954962621861654], 'label': '2048.cqm.32._.EV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.EV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.EV', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426249
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 27475552499010030, 2202858817115774000, 952054988251263650, 27496500075031680, 1405954962621861654], 'label': '2048.cqm.32._.EW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.EW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.EW', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426250
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 614104692434670867, 39924699659940486, 6526989828725223, 2202858817115774000], 'label': '2048.cqm.32._.EX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.EX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.EX', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426251
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [27432399120806406, 1412357423505517920, 1980598492144166904, 95119763805605190, 27475552499010030, 6402554290097334, 857426177329455146, 19709062341273, 2202858817115774000], 'label': '2048.cqm.4._.DG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.DG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.DG', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426252
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 614104692434670867, 39924699659940486, 2202858817115774000, 124442244695679], 'label': '2048.cqm.32._.EY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.EY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.EY', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426253
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [857436732645006149, 1980598492144166904, 1412357423505517920, 39924699659940486, 6526989828725223, 2202858817115774000], 'label': '2048.cqm.32._.EZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.EZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.EZ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426254
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [857436732645006149, 1980598492144166904, 1412357423505517920, 39924699659940486, 2202858817115774000, 124442244695679], 'label': '2048.cqm.32._.FA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.FA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.FA', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426255
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 614104692434670867, 39924699659940486, 2202858817115774000, 6508588484706030], 'label': '2048.cqm.32._.FB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.FB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.FB', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426256
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 614104692434670867, 39924699659940486, 2202858817115774000, 106040900676486], 'label': '2048.cqm.32._.FC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.FC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.FC', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426257
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [857436732645006149, 1980598492144166904, 1412357423505517920, 39924699659940486, 2202858817115774000, 6508588484706030], 'label': '2048.cqm.32._.FD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.FD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.FD', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426258
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [857436732645006149, 1980598492144166904, 1412357423505517920, 39924699659940486, 2202858817115774000, 106040900676486], 'label': '2048.cqm.32._.FE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.FE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.FE', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426259
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 39924699659940486, 6526989828725223, 2202858817115774000, 614088906406724664], 'label': '2048.cqm.32._.FF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.FF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.FF', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426260
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 39924699659940486, 2202858817115774000, 124442244695679, 614088906406724664], 'label': '2048.cqm.32._.FG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.FG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.FG', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426261
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 39924699659940486, 6526989828725223, 2202858817115774000, 857420946617059946], 'label': '2048.cqm.32._.FH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.FH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.FH', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426262
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 95119763805605190, 27475552499010030, 6402554290097334, 857426177329455146, 19709062341273, 106040900676486, 2202858817115774000], 'label': '2048.cqm.4._.DH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.DH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.DH', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426263
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 39924699659940486, 2202858817115774000, 857420946617059946, 124442244695679], 'label': '2048.cqm.32._.FI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.FI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.FI', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426264
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 39924699659940486, 2202858817115774000, 6508588484706030, 614088906406724664], 'label': '2048.cqm.32._.FJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.FJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.FJ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426265
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 39924699659940486, 2202858817115774000, 106040900676486, 614088906406724664], 'label': '2048.cqm.32._.FK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.FK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.FK', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426266
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 39924699659940486, 2202858817115774000, 857420946617059946, 6508588484706030], 'label': '2048.cqm.32._.FL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.FL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.FL', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426267
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 39924699659940486, 2202858817115774000, 857420946617059946, 106040900676486], 'label': '2048.cqm.32._.FM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.FM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.FM', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426268
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 27475552499010030, 6402554290097334, 1445812795928976966, 1412371901815177593, 2202858817115774000], 'label': '2048.cqm.32._.FN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.FN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.FN', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426269
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 614104692434670867, 27475552499010030, 2202858817115774000, 39961345575404367], 'label': '2048.cqm.32._.FO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.FO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.FO', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426270
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 614104692434670867, 27475552499010030, 2202858817115774000, 27512198413390233], 'label': '2048.cqm.32._.FP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.FP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.FP', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426271
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27475552499010030, 39961345575404367, 857436732645006149, 2202858817115774000], 'label': '2048.cqm.32._.FQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.FQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.FQ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426272
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27475552499010030, 27512198413390233, 857436732645006149, 2202858817115774000], 'label': '2048.cqm.32._.FR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.FR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.FR', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426273
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 95119763805605190, 27475552499010030, 6402554290097334, 857426177329455146, 19709062341273, 27436328447544733, 2202858817115774000], 'label': '2048.cqm.4._.DI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.DI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.DI', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426274
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 614104692434670867, 39945647237045814, 27475552499010030, 2202858817115774000], 'label': '2048.cqm.32._.FS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.FS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.FS', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426275
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 614104692434670867, 27475552499010030, 2202858817115774000, 27496500075031680], 'label': '2048.cqm.32._.FT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.FT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.FT', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426276
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27475552499010030, 857436732645006149, 39945647237045814, 2202858817115774000], 'label': '2048.cqm.32._.FU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.FU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.FU', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426277
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27475552499010030, 857436732645006149, 2202858817115774000, 27496500075031680], 'label': '2048.cqm.32._.FV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.FV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.FV', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426278
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27475552499010030, 39961345575404367, 614088906406724664, 2202858817115774000], 'label': '2048.cqm.32._.FW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.FW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.FW', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426279
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 27475552499010030, 2202858817115774000, 27512198413390233, 614088906406724664], 'label': '2048.cqm.32._.FX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.FX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.FX', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426280
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 27475552499010030, 2202858817115774000, 857420946617059946, 39961345575404367], 'label': '2048.cqm.32._.FY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.FY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.FY', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426281
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27475552499010030, 27512198413390233, 857420946617059946, 2202858817115774000], 'label': '2048.cqm.32._.FZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.FZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.FZ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426282
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 39945647237045814, 27475552499010030, 2202858817115774000, 614088906406724664], 'label': '2048.cqm.32._.GA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.GA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.GA', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426283
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 27475552499010030, 2202858817115774000, 27496500075031680, 614088906406724664], 'label': '2048.cqm.32._.GB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.GB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.GB', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426284
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27499115456835873, 27475552499010030, 6402554290097334, 857420946617059946, 19709062341273, 27436328447544733, 2202858817115774000, 95013810648341670], 'label': '2048.cqm.2._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2._.K', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426285
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 111359288509213, 1980598492144166904, 95119763805605190, 27475552499010030, 6402554290097334, 857426177329455146, 19709062341273, 2202858817115774000], 'label': '2048.cqm.4._.DJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.DJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.DJ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426286
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 39945647237045814, 27475552499010030, 2202858817115774000, 857420946617059946], 'label': '2048.cqm.32._.GC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.GC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.GC', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426287
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 27475552499010030, 2202858817115774000, 857420946617059946, 27496500075031680], 'label': '2048.cqm.32._.GD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.GD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.GD', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426288
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 2202858817115774000, 1412363961888284160, 27432399120806406, 6402554290097334], 'label': '2048.cqm.32._.GE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.GE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.GE', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426289
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 2202858817115774000, 1412363961888284160, 64163346428214, 6402554290097334], 'label': '2048.cqm.32._.GF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.GF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.GF', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426290
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 2202858817115774000, 1412294667993135894, 1412363961888284160, 6402554290097334], 'label': '2048.cqm.32._.GG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.GG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.GG', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426291
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 1445812795928976966, 2202858817115774000, 1412363961888284160, 6402554290097334], 'label': '2048.cqm.32._.GH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.GH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.GH', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426292
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 1445812795928976966, 2202858817115774000, 1445777495359285230, 6402554290097334], 'label': '2048.cqm.32._.GI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.GI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.GI', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426293
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 2202858817115774000, 1445777495359285230, 1412294667993135894, 6402554290097334], 'label': '2048.cqm.32._.GJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.GJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.GJ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426294
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 2202858817115774000, 1445777495359285230, 64163346428214, 6402554290097334], 'label': '2048.cqm.32._.GK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.GK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.GK', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426295
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 2202858817115774000, 1445777495359285230, 27432399120806406, 6402554290097334], 'label': '2048.cqm.32._.GL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.GL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.GL', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426296
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [27432399120806406, 1412357423505517920, 1980598492144166904, 27475552499010030, 6402554290097334, 857426177329455146, 19709062341273, 95020355265755311, 2202858817115774000], 'label': '2048.cqm.4._.DK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.DK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.DK', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426297
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 2202858817115774000, 27478167880813957, 27432399120806406, 6402554290097334], 'label': '2048.cqm.32._.GM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.GM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.GM', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426298
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 2202858817115774000, 27478167880813957, 64163346428214, 6402554290097334], 'label': '2048.cqm.32._.GN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.GN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.GN', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426299
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 2202858817115774000, 27478167880813957, 1412294667993135894, 6402554290097334], 'label': '2048.cqm.32._.GO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.GO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.GO', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426300
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 1445812795928976966, 2202858817115774000, 27478167880813957, 6402554290097334], 'label': '2048.cqm.32._.GP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.GP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.GP', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426301
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 1445812795928976966, 2202858817115774000, 6632332767393, 6402554290097334], 'label': '2048.cqm.32._.GQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.GQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.GQ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426302
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 2202858817115774000, 1412294667993135894, 6632332767393, 6402554290097334], 'label': '2048.cqm.32._.GR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.GR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.GR', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426303
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 2202858817115774000, 6632332767393, 64163346428214, 6402554290097334], 'label': '2048.cqm.32._.GS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.GS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.GS', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426304
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 2202858817115774000, 6632332767393, 27432399120806406, 6402554290097334], 'label': '2048.cqm.32._.GT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.GT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.GT', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426305
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 27475552499010030, 2202858817115774000, 106040900676486, 6402554290097334], 'label': '2048.cqm.32._.GU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.GU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.GU', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426306
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [27432399120806406, 1980598492144166904, 27475552499010030, 6402554290097334, 1412371901815177593, 2202858817115774000], 'label': '2048.cqm.32._.GV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.GV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.GV', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426307
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27475552499010030, 6402554290097334, 857426177329455146, 19709062341273, 95020355265755311, 106040900676486, 2202858817115774000], 'label': '2048.cqm.4._.DL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.DL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.DL', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426308
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 1445812795928976966, 27475552499010030, 2202858817115774000, 6402554290097334], 'label': '2048.cqm.32._.GW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.GW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.GW', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426309
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 952069379426182637, 27475552499010030, 2202858817115774000, 6402554290097334], 'label': '2048.cqm.32._.GX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.GX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.GX', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426310
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1445827274239004533, 2202858817115774000, 1864282764071788041, 1445770956979819950, 6402554290097334], 'label': '2048.cqm.32._.GY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.GY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.GY', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426311
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 27449405176750719, 2202858817115774000, 1864282764071788041, 1445770956979819950, 6402554290097334], 'label': '2048.cqm.32._.GZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.GZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.GZ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426312
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1445827274239004533, 2202858817115774000, 1445770956979819950, 952132172669068229, 6402554290097334], 'label': '2048.cqm.32._.HA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.HA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.HA', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426313
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 27449405176750719, 2202858817115774000, 1445770956979819950, 952132172669068229, 6402554290097334], 'label': '2048.cqm.32._.HB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.HB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.HB', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426314
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1445812795928976966, 2202858817115774000, 1864282764071788041, 1445770956979819950, 6402554290097334], 'label': '2048.cqm.32._.HC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.HC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.HC', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426315
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 2202858817115774000, 1864282764071788041, 1445770956979819950, 27432399120806406, 6402554290097334], 'label': '2048.cqm.32._.HD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.HD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.HD', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426316
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1445812795928976966, 2202858817115774000, 1445770956979819950, 952132172669068229, 6402554290097334], 'label': '2048.cqm.32._.HE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.HE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.HE', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426317
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 2202858817115774000, 1445770956979819950, 27432399120806406, 952132172669068229, 6402554290097334], 'label': '2048.cqm.32._.HF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.HF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.HF', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426318
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27475552499010030, 6402554290097334, 857426177329455146, 19709062341273, 95020355265755311, 27436328447544733, 2202858817115774000], 'label': '2048.cqm.4._.DM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.DM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.DM', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426319
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1445827274239004533, 1864266978076908048, 2202858817115774000, 1445770956979819950, 6402554290097334], 'label': '2048.cqm.32._.HG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.HG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.HG', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426320
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 27449405176750719, 1864266978076908048, 2202858817115774000, 1445770956979819950, 6402554290097334], 'label': '2048.cqm.32._.HH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.HH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.HH', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426321
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1445827274239004533, 952117781490112106, 2202858817115774000, 1445770956979819950, 6402554290097334], 'label': '2048.cqm.32._.HI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.HI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.HI', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426322
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 27449405176750719, 952117781490112106, 2202858817115774000, 1445770956979819950, 6402554290097334], 'label': '2048.cqm.32._.HJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.HJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.HJ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426323
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1864266978076908048, 1445812795928976966, 2202858817115774000, 1445770956979819950, 6402554290097334], 'label': '2048.cqm.32._.HK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.HK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.HK', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426324
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1864266978076908048, 2202858817115774000, 1445770956979819950, 27432399120806406, 6402554290097334], 'label': '2048.cqm.32._.HL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.HL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.HL', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426325
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 952117781490112106, 1445812795928976966, 2202858817115774000, 1445770956979819950, 6402554290097334], 'label': '2048.cqm.32._.HM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.HM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.HM', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426326
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 952117781490112106, 2202858817115774000, 1445770956979819950, 27432399120806406, 6402554290097334], 'label': '2048.cqm.32._.HN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.HN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.HN', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426327
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 82558503711567, 2202858817115774000, 249274030948218692, 6402554290097334], 'label': '2048.cqm.32._.HO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.HO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.HO', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426328
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 27449405176750719, 2202858817115774000, 249274030948218692, 6402554290097334], 'label': '2048.cqm.32._.HP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.HP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.HP', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426329
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 111359288509213, 1980598492144166904, 27475552499010030, 6402554290097334, 857426177329455146, 19709062341273, 95020355265755311, 2202858817115774000], 'label': '2048.cqm.4._.DN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.DN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.DN', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426330
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [857436732645006149, 1980598492144166904, 1412357423505517920, 82558503711567, 2202858817115774000, 6402554290097334], 'label': '2048.cqm.32._.HQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.HQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.HQ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426331
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [857436732645006149, 1980598492144166904, 1412357423505517920, 27449405176750719, 2202858817115774000, 6402554290097334], 'label': '2048.cqm.32._.HR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.HR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.HR', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426332
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 2202858817115774000, 249274030948218692, 64163346428214, 6402554290097334], 'label': '2048.cqm.32._.HS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.HS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.HS', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426333
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 2202858817115774000, 249274030948218692, 27432399120806406, 6402554290097334], 'label': '2048.cqm.32._.HT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.HT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.HT', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426334
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 6402554290097334, 857436732645006149, 2202858817115774000, 64163346428214], 'label': '2048.cqm.32._.HU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.HU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.HU', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426335
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [27432399120806406, 1412357423505517920, 1980598492144166904, 6402554290097334, 857436732645006149, 2202858817115774000], 'label': '2048.cqm.32._.HV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.HV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.HV', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426336
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 249256937241876782, 82558503711567, 2202858817115774000, 6402554290097334], 'label': '2048.cqm.32._.HW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.HW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.HW', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426337
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 27449405176750719, 249256937241876782, 2202858817115774000, 6402554290097334], 'label': '2048.cqm.32._.HX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.HX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.HX', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426338
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 82558503711567, 2202858817115774000, 857420946617059946, 6402554290097334], 'label': '2048.cqm.32._.HY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.HY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.HY', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426339
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 27449405176750719, 2202858817115774000, 857420946617059946, 6402554290097334], 'label': '2048.cqm.32._.HZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.HZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.HZ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426340
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [27432399120806406, 1412357423505517920, 1980598492144166904, 27475552499010030, 6402554290097334, 857426177329455146, 19709062341273, 2202858817115774000, 95124994561138351], 'label': '2048.cqm.4._.DO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.DO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.DO', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426341
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 249256937241876782, 2202858817115774000, 64163346428214, 6402554290097334], 'label': '2048.cqm.32._.IA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.IA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.IA', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426342
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 249256937241876782, 2202858817115774000, 27432399120806406, 6402554290097334], 'label': '2048.cqm.32._.IB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.IB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.IB', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426343
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 2202858817115774000, 857420946617059946, 64163346428214, 6402554290097334], 'label': '2048.cqm.32._.IC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.IC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.IC', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426344
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 2202858817115774000, 857420946617059946, 27432399120806406, 6402554290097334], 'label': '2048.cqm.32._.ID', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.ID', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.ID', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426345
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1445827274239004533, 27475552499010030, 2202858817115774000, 1445534280418556793, 6402554290097334], 'label': '2048.cqm.32._.IE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.IE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.IE', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426346
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 27449405176750719, 27475552499010030, 2202858817115774000, 1445534280418556793, 6402554290097334], 'label': '2048.cqm.32._.IF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.IF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.IF', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426347
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1445827274239004533, 27475552499010030, 2202858817115774000, 27512198413390233, 6402554290097334], 'label': '2048.cqm.32._.IG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.IG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.IG', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426348
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 27449405176750719, 27475552499010030, 2202858817115774000, 27512198413390233, 6402554290097334], 'label': '2048.cqm.32._.IH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.IH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.IH', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426349
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1445812795928976966, 27475552499010030, 2202858817115774000, 1445534280418556793, 6402554290097334], 'label': '2048.cqm.32._.II', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.II', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.II', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426350
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 27475552499010030, 2202858817115774000, 1445534280418556793, 27432399120806406, 6402554290097334], 'label': '2048.cqm.32._.IJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.IJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.IJ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426351
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27475552499010030, 6402554290097334, 857426177329455146, 19709062341273, 106040900676486, 2202858817115774000, 95124994561138351], 'label': '2048.cqm.4._.DP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.DP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.DP', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426352
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1445812795928976966, 27475552499010030, 2202858817115774000, 27512198413390233, 6402554290097334], 'label': '2048.cqm.32._.IK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.IK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.IK', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426353
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 27475552499010030, 2202858817115774000, 27512198413390233, 27432399120806406, 6402554290097334], 'label': '2048.cqm.32._.IL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.IL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.IL', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426354
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1445518494390943200, 1980598492144166904, 1445827274239004533, 27475552499010030, 2202858817115774000, 6402554290097334], 'label': '2048.cqm.32._.IM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.IM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.IM', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426355
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1445518494390943200, 1980598492144166904, 27449405176750719, 27475552499010030, 2202858817115774000, 6402554290097334], 'label': '2048.cqm.32._.IN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.IN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.IN', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426356
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1445827274239004533, 27475552499010030, 2202858817115774000, 27496500075031680, 6402554290097334], 'label': '2048.cqm.32._.IO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.IO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.IO', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426357
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 27449405176750719, 27475552499010030, 2202858817115774000, 27496500075031680, 6402554290097334], 'label': '2048.cqm.32._.IP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.IP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.IP', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426358
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 27475552499010030, 6402554290097334, 1445518494390943200, 1445812795928976966, 2202858817115774000], 'label': '2048.cqm.32._.IQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.IQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.IQ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426359
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [27432399120806406, 1980598492144166904, 27475552499010030, 6402554290097334, 1445518494390943200, 2202858817115774000], 'label': '2048.cqm.32._.IR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.IR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.IR', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426360
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1445812795928976966, 27475552499010030, 2202858817115774000, 27496500075031680, 6402554290097334], 'label': '2048.cqm.32._.IS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.IS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.IS', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426361
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 27475552499010030, 2202858817115774000, 27496500075031680, 27432399120806406, 6402554290097334], 'label': '2048.cqm.32._.IT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.IT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.IT', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426362
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27475552499010030, 6402554290097334, 857426177329455146, 19709062341273, 27436328447544733, 2202858817115774000, 95124994561138351], 'label': '2048.cqm.4._.DQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.DQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.DQ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426363
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 39924699659940486, 2202858817115774000, 614198776853305610], 'label': '2048.cqm.32._.IU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.IU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.IU', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426364
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 39924699659940486, 2202858817115774000, 857530910508834410], 'label': '2048.cqm.32._.IV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.IV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.IV', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426365
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 2202858817115774000, 1898104285330628525, 1445770956979819950, 6402554290097334], 'label': '2048.cqm.32._.IW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.IW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.IW', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426366
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 2202858817115774000, 1445770956979819950, 857530910508834410, 6402554290097334], 'label': '2048.cqm.32._.IX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.IX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.IX', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426367
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 27475552499010030, 2202858817115774000, 614198776853305610, 1405954962621861654], 'label': '2048.cqm.32._.IY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.IY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.IY', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426368
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 27475552499010030, 2202858817115774000, 857530910508834410, 1405954962621861654], 'label': '2048.cqm.32._.IZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.IZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.IZ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426369
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 27475552499010030, 2202858817115774000, 27432399120806406, 6402554290097334], 'label': '2048.cqm.32._.JA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.JA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.JA', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426370
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 27432399120806406, 1980598492144166904, 27475552499010030, 6402554290097334, 2202858817115774000], 'label': '2048.cqm.32._.JB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.JB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.JB', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426371
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 27475552499010030, 2202858817115774000, 6402554290097334], 'label': '2048.cqm.32._.JC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.JC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.JC', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426372
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 27475552499010030, 2202858817115774000, 27512198413390233, 6402554290097334], 'label': '2048.cqm.32._.JD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.JD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.JD', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426373
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 111359288509213, 1980598492144166904, 27475552499010030, 6402554290097334, 857426177329455146, 19709062341273, 2202858817115774000, 95124994561138351], 'label': '2048.cqm.4._.DR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.DR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.DR', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426374
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 2202858817115774000, 1445770956979819950, 708811888515162744, 1405954962621861654], 'label': '2048.cqm.32._.JE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.JE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.JE', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426375
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 2202858817115774000, 952123012202507306, 1445770956979819950, 1405954962621861654], 'label': '2048.cqm.32._.JF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.JF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.JF', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426376
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 1864270907835070393, 2202858817115774000, 1445770956979819950, 6402554290097334], 'label': '2048.cqm.32._.JG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.JG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.JG', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426377
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 2202858817115774000, 952123012202507306, 1445770956979819950, 6402554290097334], 'label': '2048.cqm.32._.JH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.JH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.JH', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426378
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 27475552499010030, 2202858817115774000, 708811888515162744], 'label': '2048.cqm.32._.JI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.JI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.JI', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426379
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 27475552499010030, 2202858817115774000, 952123012202507306], 'label': '2048.cqm.32._.JJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.JJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.JJ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426380
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 857525679796802210, 27475552499010030, 2202858817115774000, 6402554290097334], 'label': '2048.cqm.32._.JK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.JK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.JK', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426381
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 27449405176750719, 27475552499010030, 2202858817115774000, 6402554290097334], 'label': '2048.cqm.32._.JL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.JL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.JL', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426382
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 27475552499010030, 2202858817115774000, 73794386537523733, 6402554290097334], 'label': '2048.cqm.32._.JM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.JM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.JM', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426383
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 73778600509622286, 27475552499010030, 2202858817115774000, 6402554290097334], 'label': '2048.cqm.32._.JN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.JN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.JN', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426384
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 27432399120806406, 1980598492144166904, 27475552499010030, 6402554290097334, 6632332767393, 19709062341273, 2202858817115774000, 95013810648341670], 'label': '2048.cqm.4._.DS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.DS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.DS', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426385
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 2202858817115774000, 708728178752955530, 1445770956979819950, 1405954962621861654], 'label': '2048.cqm.32._.JO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.JO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.JO', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426386
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 2202858817115774000, 1445770956979819950, 952060218963295850, 1405954962621861654], 'label': '2048.cqm.32._.JP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.JP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.JP', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426387
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 2202858817115774000, 343876587287916440, 6402554290097334], 'label': '2048.cqm.32._.JQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.JQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.JQ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426388
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 2202858817115774000, 952060218963295850, 6402554290097334], 'label': '2048.cqm.32._.JR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.JR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.JR', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426389
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 27475552499010030, 2202858817115774000, 708728178752955530, 1405954962621861654], 'label': '2048.cqm.32._.JS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.JS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.JS', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426390
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 27475552499010030, 2202858817115774000, 952060218963295850, 1405954962621861654], 'label': '2048.cqm.32._.JT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.JT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.JT', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426391
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 27475552499010030, 2202858817115774000, 95135549833138743, 6402554290097334], 'label': '2048.cqm.32._.JU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.JU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.JU', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426392
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 27475552499010030, 2202858817115774000, 95119763805605190, 6402554290097334], 'label': '2048.cqm.32._.JV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.JV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.JV', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426393
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 6422263352438607, 2202858817115774000, 6508588484706030, 1445770956979819950, 1405954962621861654], 'label': '2048.cqm.32._.JW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.JW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.JW', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426394
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 27475552499010030, 2202858817115774000, 952054988251263650, 6402554290097334], 'label': '2048.cqm.32._.JX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.JX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.JX', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426395
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [27432399120806406, 1412357423505517920, 1980598492144166904, 27499115456835873, 27475552499010030, 6402554290097334, 857420946617059946, 19709062341273, 2202858817115774000, 95013810648341670], 'label': '2048.cqm.2._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2._.L', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426396
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 27475552499010030, 2202858817115774000, 106040900676486, 95013810648341670, 6632332767393, 6402554290097334], 'label': '2048.cqm.4._.DT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.DT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.DT', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426397
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 39924699659940486, 614094137119119864, 2202858817115774000], 'label': '2048.cqm.32._.JY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.JY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.JY', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426398
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 857426177329455146, 19709062341273, 2202858817115774000, 39924699659940486], 'label': '2048.cqm.32._.JZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.JZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.JZ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426399
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 249263475628640702, 2202858817115774000, 6402554290097334], 'label': '2048.cqm.32._.KA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.KA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.KA', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426400
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 857426177329455146, 19709062341273, 2202858817115774000, 6402554290097334], 'label': '2048.cqm.32._.KB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.KB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.KB', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426401
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 614094137119119864, 27475552499010030, 2202858817115774000], 'label': '2048.cqm.32._.KC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.KC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.KC', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426402
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27475552499010030, 857426177329455146, 19709062341273, 2202858817115774000], 'label': '2048.cqm.32._.KD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.KD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.KD', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426403
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 6422263352438607, 2202858817115774000, 106040900676486, 1445770956979819950, 1405954962621861654], 'label': '2048.cqm.32._.KE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.KE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.KE', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426404
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 2202858817115774000, 6508588484706030, 1445770956979819950, 1405954962621861654], 'label': '2048.cqm.32._.KF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.KF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.KF', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426405
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 2202858817115774000, 106040900676486, 1445770956979819950, 1405954962621861654], 'label': '2048.cqm.32._.KG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.KG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.KG', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426406
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 6422263352438607, 2202858817115774000, 1445770956979819950, 1405954962621861654, 708806657802767544], 'label': '2048.cqm.32._.KH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.KH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.KH', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426407
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 27475552499010030, 2202858817115774000, 952054988251263650, 95013810648341670, 6632332767393, 6402554290097334], 'label': '2048.cqm.4._.DU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.DU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.DU', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426408
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 2202858817115774000, 6513906872538757, 1445770956979819950, 1405954962621861654], 'label': '2048.cqm.32._.KI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.KI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.KI', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426409
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 111359288509213, 19709062341273, 2202858817115774000, 1445770956979819950, 1405954962621861654], 'label': '2048.cqm.32._.KJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.KJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.KJ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426410
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 39924699659940486, 2202858817115774000, 6513906872538757], 'label': '2048.cqm.32._.KK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.KK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.KK', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426411
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 111359288509213, 1980598492144166904, 19709062341273, 2202858817115774000, 39924699659940486], 'label': '2048.cqm.32._.KL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.KL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.KL', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426412
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 27475552499010030, 2202858817115774000, 1412090677027040646, 6402554290097334], 'label': '2048.cqm.32._.KM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.KM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.KM', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426413
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 111359288509213, 19709062341273, 27475552499010030, 2202858817115774000, 6402554290097334], 'label': '2048.cqm.32._.KN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.KN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.KN', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426414
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 952117781490112106, 6422263352438607, 2202858817115774000, 1445770956979819950, 1405954962621861654], 'label': '2048.cqm.32._.KO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.KO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.KO', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426415
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 2202858817115774000, 1445770956979819950, 1405954962621861654, 708806657802767544], 'label': '2048.cqm.32._.KP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.KP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.KP', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426416
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 952117781490112106, 2202858817115774000, 1445770956979819950, 1405954962621861654], 'label': '2048.cqm.32._.KQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.KQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.KQ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426417
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1864266978076908048, 1412371901815177593, 2202858817115774000, 1445770956979819950, 6402554290097334], 'label': '2048.cqm.32._.KR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.KR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.KR', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426418
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 857525679796802210, 27475552499010030, 2202858817115774000, 95013810648341670, 6632332767393, 6402554290097334], 'label': '2048.cqm.4._.DV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.DV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.DV', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426419
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 39948262618850007, 19709062341273, 27475552499010030, 2202858817115774000, 1405954962621861654], 'label': '2048.cqm.32._.KS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.KS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.KS', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426420
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 27499115456835873, 27475552499010030, 2202858817115774000, 1405954962621861654], 'label': '2048.cqm.32._.KT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.KT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.KT', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426421
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27475552499010030, 19709062341273, 39948262618850007, 2202858817115774000], 'label': '2048.cqm.32._.KU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.KU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.KU', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426422
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27499115456835873, 27475552499010030, 19709062341273, 2202858817115774000], 'label': '2048.cqm.32._.KV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.KV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.KV', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426423
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 1445525032773709440, 27475552499010030, 2202858817115774000, 6402554290097334], 'label': '2048.cqm.32._.KW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.KW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.KW', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426424
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 27499115456835873, 27475552499010030, 2202858817115774000, 6402554290097334], 'label': '2048.cqm.32._.KX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.KX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.KX', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426425
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 952117781490112106, 1412371901815177593, 2202858817115774000, 1445770956979819950, 6402554290097334], 'label': '2048.cqm.32._.KY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.KY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.KY', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426426
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 1864266978076908048, 2202858817115774000, 1445770956979819950, 6402554290097334], 'label': '2048.cqm.32._.KZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.KZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.KZ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426427
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 952117781490112106, 2202858817115774000, 1445770956979819950, 6402554290097334], 'label': '2048.cqm.32._.LA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.LA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.LA', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426428
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 6422263352438607, 27475552499010030, 2202858817115774000, 708806657802767544], 'label': '2048.cqm.32._.LB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.LB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.LB', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426429
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 27432399120806406, 1980598492144166904, 95119763805605190, 27475552499010030, 6402554290097334, 6632332767393, 19709062341273, 2202858817115774000], 'label': '2048.cqm.4._.DW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.DW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.DW', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426430
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1445819334312111366, 19709062341273, 2202858817115774000, 1445770956979819950, 6402554290097334], 'label': '2048.cqm.32._.LC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.LC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.LC', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426431
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 27436328447544733, 2202858817115774000, 1445770956979819950, 6402554290097334], 'label': '2048.cqm.32._.LD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.LD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.LD', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426432
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 2202858817115774000, 69481734261207, 6402554290097334], 'label': '2048.cqm.32._.LE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.LE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.LE', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426433
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 27436328447544733, 2202858817115774000, 6402554290097334], 'label': '2048.cqm.32._.LF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.LF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.LF', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426434
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1445819334312111366, 19709062341273, 27475552499010030, 2202858817115774000, 6402554290097334], 'label': '2048.cqm.32._.LG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.LG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.LG', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426435
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 27436328447544733, 27475552499010030, 2202858817115774000, 6402554290097334], 'label': '2048.cqm.32._.LH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.LH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.LH', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426436
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27475552499010030, 6422263352438607, 952117781490112106, 2202858817115774000], 'label': '2048.cqm.32._.LI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.LI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.LI', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426437
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 27475552499010030, 2202858817115774000, 708806657802767544], 'label': '2048.cqm.32._.LJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.LJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.LJ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426438
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 952117781490112106, 27475552499010030, 2202858817115774000], 'label': '2048.cqm.32._.LK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.LK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.LK', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426439
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 39924699659940486, 6422263352438607, 2202858817115774000, 6508588484706030], 'label': '2048.cqm.32._.LL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.LL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.LL', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426440
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 27475552499010030, 2202858817115774000, 106040900676486, 95119763805605190, 6632332767393, 6402554290097334], 'label': '2048.cqm.4._.DX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.DX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.DX', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426441
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 39924699659940486, 6422263352438607, 2202858817115774000, 106040900676486], 'label': '2048.cqm.32._.LM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.LM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.LM', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426442
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 39924699659940486, 2202858817115774000, 6508588484706030], 'label': '2048.cqm.32._.LN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.LN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.LN', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426443
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 2202858817115774000, 1445770956979819950, 1405954962621861654, 6409186622864727], 'label': '2048.cqm.32._.LO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.LO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.LO', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426444
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 2202858817115774000, 1445770956979819950, 6632332767393, 1405954962621861654], 'label': '2048.cqm.32._.LP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.LP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.LP', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426445
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 39924699659940486, 2202858817115774000, 6409186622864727], 'label': '2048.cqm.32._.LQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.LQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.LQ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426446
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 39924699659940486, 2202858817115774000, 6632332767393], 'label': '2048.cqm.32._.LR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.LR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.LR', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426447
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 2202858817115774000, 1445770956979819950, 1412363961888284160, 6402554290097334], 'label': '2048.cqm.32._.LS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.LS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.LS', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426448
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 2202858817115774000, 1445770956979819950, 6632332767393, 6402554290097334], 'label': '2048.cqm.32._.LT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.LT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.LT', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426449
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 2202858817115774000, 27478167880813957, 6402554290097334], 'label': '2048.cqm.32._.LU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.LU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.LU', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426450
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 2202858817115774000, 6632332767393, 6402554290097334], 'label': '2048.cqm.32._.LV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.LV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.LV', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426451
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 27475552499010030, 2202858817115774000, 952054988251263650, 95119763805605190, 6632332767393, 6402554290097334], 'label': '2048.cqm.4._.DY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.DY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.DY', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426452
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 27475552499010030, 2202858817115774000, 1405954962621861654, 6409186622864727], 'label': '2048.cqm.32._.LW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.LW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.LW', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426453
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 27475552499010030, 2202858817115774000, 6632332767393, 1405954962621861654], 'label': '2048.cqm.32._.LX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.LX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.LX', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426454
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 27475552499010030, 2202858817115774000, 6409186622864727], 'label': '2048.cqm.32._.LY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.LY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.LY', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426455
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 27475552499010030, 2202858817115774000, 6632332767393], 'label': '2048.cqm.32._.LZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.LZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.LZ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426456
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 27475552499010030, 2202858817115774000, 1412363961888284160, 6402554290097334], 'label': '2048.cqm.32._.MA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.MA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.MA', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426457
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 27475552499010030, 2202858817115774000, 6632332767393, 6402554290097334], 'label': '2048.cqm.32._.MB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.MB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.MB', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426458
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 39924699659940486, 2202858817115774000, 106040900676486], 'label': '2048.cqm.32._.MC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.MC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.MC', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426459
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412371901815177593, 27475552499010030, 2202858817115774000, 1412084138643906246, 6402554290097334], 'label': '2048.cqm.32._.MD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.MD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.MD', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426460
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412371901815177593, 27475552499010030, 2202858817115774000, 106040900676486, 6402554290097334], 'label': '2048.cqm.32._.ME', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.ME', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.ME', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426461
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 27475552499010030, 2202858817115774000, 1412084138643906246, 6402554290097334], 'label': '2048.cqm.32._.MF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.MF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.MF', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426462
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 857525679796802210, 27475552499010030, 2202858817115774000, 95119763805605190, 6632332767393, 6402554290097334], 'label': '2048.cqm.4._.DZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.DZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.DZ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426463
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 39924699659940486, 6422263352438607, 2202858817115774000, 614088906406724664], 'label': '2048.cqm.32._.MG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.MG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.MG', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426464
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 39924699659940486, 6422263352438607, 2202858817115774000, 857420946617059946], 'label': '2048.cqm.32._.MH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.MH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.MH', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426465
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 39924699659940486, 2202858817115774000, 614088906406724664], 'label': '2048.cqm.32._.MI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.MI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.MI', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426466
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 39924699659940486, 2202858817115774000, 857420946617059946], 'label': '2048.cqm.32._.MJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.MJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.MJ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426467
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 27491244649896423, 249256937241876782, 2202858817115774000, 6402554290097334], 'label': '2048.cqm.32._.MK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.MK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.MK', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426468
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 27491244649896423, 2202858817115774000, 857420946617059946, 6402554290097334], 'label': '2048.cqm.32._.ML', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.ML', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.ML', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426469
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 249256937241876782, 2202858817115774000, 6402554290097334], 'label': '2048.cqm.32._.MM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.MM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.MM', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426470
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 2202858817115774000, 857420946617059946, 6402554290097334], 'label': '2048.cqm.32._.MN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.MN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.MN', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426471
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 6422263352438607, 27475552499010030, 2202858817115774000, 614088906406724664], 'label': '2048.cqm.32._.MO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.MO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.MO', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426472
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27475552499010030, 6402554290097334, 952132172669068229, 2202858817115774000], 'label': '2048.cqm.32._.MP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.MP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.MP', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426473
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 27432399120806406, 1980598492144166904, 872694139074127638, 27475552499010030, 6402554290097334, 6632332767393, 19709062341273, 2202858817115774000], 'label': '2048.cqm.4._.EA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.EA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.EA', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426474
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 6422263352438607, 27475552499010030, 2202858817115774000, 857420946617059946], 'label': '2048.cqm.32._.MQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.MQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.MQ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426475
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 27475552499010030, 2202858817115774000, 614088906406724664], 'label': '2048.cqm.32._.MR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.MR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.MR', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426476
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 27475552499010030, 2202858817115774000, 857420946617059946], 'label': '2048.cqm.32._.MS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.MS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.MS', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426477
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 27475552499010030, 2202858817115774000, 106040900676486, 6402554290097334], 'label': '2048.cqm.32._.MT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.MT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.MT', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426478
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 27475552499010030, 2202858817115774000, 73689747758448159, 6402554290097334], 'label': '2048.cqm.32._.MU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.MU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.MU', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426479
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 27475552499010030, 2202858817115774000, 73672654056506286, 6402554290097334], 'label': '2048.cqm.32._.MV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.MV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.MV', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426480
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 27475552499010030, 2202858817115774000, 95030904350651437, 6402554290097334], 'label': '2048.cqm.32._.MW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.MW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.MW', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426481
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 39945647237045814, 6422263352438607, 27475552499010030, 2202858817115774000, 1405954962621861654], 'label': '2048.cqm.32._.MX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.MX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.MX', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426482
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 6422263352438607, 27475552499010030, 2202858817115774000, 27496500075031680, 1405954962621861654], 'label': '2048.cqm.32._.MY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.MY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.MY', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426483
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 39945647237045814, 27475552499010030, 2202858817115774000, 1405954962621861654], 'label': '2048.cqm.32._.MZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.MZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.MZ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426484
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 27475552499010030, 2202858817115774000, 106040900676486, 872694139074127638, 6632332767393, 6402554290097334], 'label': '2048.cqm.4._.EB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.EB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.EB', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426485
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 952117781490112106, 27475552499010030, 2202858817115774000, 6402554290097334], 'label': '2048.cqm.32._.NA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.NA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.NA', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426486
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 27475552499010030, 2202858817115774000, 27496500075031680, 1405954962621861654], 'label': '2048.cqm.32._.NB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.NB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.NB', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426487
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27475552499010030, 6422263352438607, 39945647237045814, 2202858817115774000], 'label': '2048.cqm.32._.NC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.NC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.NC', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426488
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 6422263352438607, 27475552499010030, 2202858817115774000, 27496500075031680], 'label': '2048.cqm.32._.ND', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.ND', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.ND', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426489
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 39945647237045814, 27475552499010030, 2202858817115774000], 'label': '2048.cqm.32._.NE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.NE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.NE', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426490
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 27475552499010030, 2202858817115774000, 27496500075031680], 'label': '2048.cqm.32._.NF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.NF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.NF', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426491
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 27475552499010030, 6402554290097334, 1445518494390943200, 1412371901815177593, 2202858817115774000], 'label': '2048.cqm.32._.NG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.NG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.NG', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426492
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412371901815177593, 27475552499010030, 2202858817115774000, 27496500075031680, 6402554290097334], 'label': '2048.cqm.32._.NH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.NH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.NH', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426493
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1445518494390943200, 1980598492144166904, 19709062341273, 27475552499010030, 2202858817115774000, 6402554290097334], 'label': '2048.cqm.32._.NI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.NI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.NI', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426494
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 27475552499010030, 2202858817115774000, 27496500075031680, 6402554290097334], 'label': '2048.cqm.32._.NJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.NJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.NJ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426495
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 27475552499010030, 2202858817115774000, 952054988251263650, 872694139074127638, 6632332767393, 6402554290097334], 'label': '2048.cqm.4._.EC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.EC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.EC', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426496
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27475552499010030, 6402554290097334, 857436732645006149, 2202858817115774000], 'label': '2048.cqm.32._.NK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.NK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.NK', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426497
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 27475552499010030, 2202858817115774000, 918237480007640861, 6402554290097334], 'label': '2048.cqm.32._.NL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.NL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.NL', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426498
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 27475552499010030, 2202858817115774000, 918223088832364034, 6402554290097334], 'label': '2048.cqm.32._.NM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.NM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.NM', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426499
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 27475552499010030, 2202858817115774000, 872709925102073863, 6402554290097334], 'label': '2048.cqm.32._.NN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.NN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.NN', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426500
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 27475552499010030, 2202858817115774000, 872694139074127638, 6402554290097334], 'label': '2048.cqm.32._.NO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.NO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.NO', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426501
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 6422263352438607, 2202858817115774000, 708722948040923330, 1445770956979819950, 1405954962621861654], 'label': '2048.cqm.32._.NP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.NP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.NP', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426502
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 6422263352438607, 2202858817115774000, 952054988251263650, 1445770956979819950, 1405954962621861654], 'label': '2048.cqm.32._.NQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.NQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.NQ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426503
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 2202858817115774000, 708722948040923330, 1445770956979819950, 1405954962621861654], 'label': '2048.cqm.32._.NR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.NR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.NR', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426504
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 2202858817115774000, 952054988251263650, 1445770956979819950, 1405954962621861654], 'label': '2048.cqm.32._.NS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.NS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.NS', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426505
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 27491244649896423, 2202858817115774000, 343870048901157680, 6402554290097334], 'label': '2048.cqm.32._.NT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.NT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.NT', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426506
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27475552499010030, 6402554290097334, 857420946617059946, 19709062341273, 95020355265755311, 27436328447544733, 2202858817115774000, 27496500075031680], 'label': '2048.cqm.2._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2._.M', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426507
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 857525679796802210, 27475552499010030, 2202858817115774000, 872694139074127638, 6632332767393, 6402554290097334], 'label': '2048.cqm.4._.ED', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.ED', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.ED', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426508
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 27491244649896423, 2202858817115774000, 952054988251263650, 6402554290097334], 'label': '2048.cqm.32._.NU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.NU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.NU', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426509
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 2202858817115774000, 343870048901157680, 6402554290097334], 'label': '2048.cqm.32._.NV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.NV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.NV', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426510
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 27475552499010030, 2202858817115774000, 918342118788183845, 6402554290097334], 'label': '2048.cqm.32._.NW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.NW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.NW', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426511
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 918327727608869882, 1980598492144166904, 27475552499010030, 6402554290097334, 2202858817115774000], 'label': '2048.cqm.32._.NX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.NX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.NX', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426512
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27475552499010030, 6402554290097334, 2202858817115774000, 872814563880775637], 'label': '2048.cqm.32._.NY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.NY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.NY', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426513
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 872798777849528330, 27475552499010030, 2202858817115774000, 6402554290097334], 'label': '2048.cqm.32._.NZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.NZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.NZ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426514
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 614193546141273410, 39924699659940486, 6422263352438607, 2202858817115774000], 'label': '2048.cqm.32._.OA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.OA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.OA', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426515
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 39924699659940486, 857525679796802210, 6422263352438607, 2202858817115774000], 'label': '2048.cqm.32._.OB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.OB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.OB', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426516
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 19709062341273, 2202858817115774000, 39924699659940486, 614193546141273410], 'label': '2048.cqm.32._.OC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.OC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.OC', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426517
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 39924699659940486, 857525679796802210, 2202858817115774000], 'label': '2048.cqm.32._.OD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.OD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.OD', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426518
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 27432399120806406, 1980598492144166904, 27475552499010030, 6402554290097334, 6632332767393, 19709062341273, 872798777849528330, 2202858817115774000], 'label': '2048.cqm.4._.EE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.EE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.EE', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426519
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412371901815177593, 2202858817115774000, 1898100268872813602, 1445770956979819950, 6402554290097334], 'label': '2048.cqm.32._.OE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.OE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.OE', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426520
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 857525679796802210, 1412371901815177593, 2202858817115774000, 1445770956979819950, 6402554290097334], 'label': '2048.cqm.32._.OF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.OF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.OF', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426521
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 2202858817115774000, 1898100268872813602, 1445770956979819950, 6402554290097334], 'label': '2048.cqm.32._.OG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.OG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.OG', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426522
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 857525679796802210, 2202858817115774000, 1445770956979819950, 6402554290097334], 'label': '2048.cqm.32._.OH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.OH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.OH', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426523
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 614193546141273410, 6422263352438607, 27475552499010030, 2202858817115774000, 1405954962621861654], 'label': '2048.cqm.32._.OI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.OI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.OI', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426524
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 857525679796802210, 6422263352438607, 27475552499010030, 2202858817115774000, 1405954962621861654], 'label': '2048.cqm.32._.OJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.OJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.OJ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426525
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 614193546141273410, 19709062341273, 27475552499010030, 2202858817115774000, 1405954962621861654], 'label': '2048.cqm.32._.OK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.OK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.OK', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426526
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 857525679796802210, 27475552499010030, 2202858817115774000, 1405954962621861654], 'label': '2048.cqm.32._.OL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.OL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.OL', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426527
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 2202858817115774000, 952054988251263650, 6402554290097334], 'label': '2048.cqm.32._.OM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.OM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.OM', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426528
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 6422263352438607, 27475552499010030, 2202858817115774000, 708722948040923330, 1405954962621861654], 'label': '2048.cqm.32._.ON', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.ON', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.ON', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426529
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 872798777849528330, 27475552499010030, 2202858817115774000, 106040900676486, 6632332767393, 6402554290097334], 'label': '2048.cqm.4._.EF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.EF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.EF', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426530
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 6422263352438607, 27475552499010030, 2202858817115774000, 952054988251263650, 1405954962621861654], 'label': '2048.cqm.32._.OO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.OO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.OO', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426531
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 27475552499010030, 2202858817115774000, 708722948040923330, 1405954962621861654], 'label': '2048.cqm.32._.OP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.OP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.OP', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426532
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 27475552499010030, 2202858817115774000, 952054988251263650, 1405954962621861654], 'label': '2048.cqm.32._.OQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.OQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.OQ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426533
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 27475552499010030, 2202858817115774000, 95013810648341670, 6402554290097334], 'label': '2048.cqm.32._.OR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.OR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.OR', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426534
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 124442244695679, 1980598492144166904, 27475552499010030, 6402554290097334, 2202858817115774000], 'label': '2048.cqm.32._.OS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.OS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.OS', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426535
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1445812795928976966, 1412371901815177593, 2202858817115774000, 1445770956979819950, 6402554290097334], 'label': '2048.cqm.32._.OT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.OT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.OT', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426536
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412371901815177593, 2202858817115774000, 1445770956979819950, 27432399120806406, 6402554290097334], 'label': '2048.cqm.32._.OU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.OU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.OU', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426537
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 1445812795928976966, 2202858817115774000, 1445770956979819950, 6402554290097334], 'label': '2048.cqm.32._.OV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.OV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.OV', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426538
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 2202858817115774000, 1445770956979819950, 27432399120806406, 6402554290097334], 'label': '2048.cqm.32._.OW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.OW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.OW', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426539
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 27491244649896423, 2202858817115774000, 64163346428214, 6402554290097334], 'label': '2048.cqm.32._.OX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.OX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.OX', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426540
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 872798777849528330, 27475552499010030, 2202858817115774000, 952054988251263650, 6632332767393, 6402554290097334], 'label': '2048.cqm.4._.EG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.EG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.EG', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426541
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 27475552499010030, 2202858817115774000, 27496500075031680, 6402554290097334], 'label': '2048.cqm.32._.OY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.OY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.OY', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426542
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 27491244649896423, 2202858817115774000, 27432399120806406, 6402554290097334], 'label': '2048.cqm.32._.OZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.OZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.OZ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426543
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 2202858817115774000, 64163346428214, 6402554290097334], 'label': '2048.cqm.32._.PA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.PA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.PA', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426544
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 27475552499010030, 2202858817115774000, 857420946617059946, 6402554290097334], 'label': '2048.cqm.32._.PB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.PB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.PB', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426545
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 857541465828049517, 1980598492144166904, 27475552499010030, 6402554290097334, 2202858817115774000], 'label': '2048.cqm.32._.PC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.PC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.PC', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426546
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 2202858817115774000, 27432399120806406, 6402554290097334], 'label': '2048.cqm.32._.PD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.PD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.PD', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426547
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 857525679796802210, 1433321809817448006, 2202858817115774000, 39927315041744413], 'label': '2048.cqm.32._.PE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.PE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.PE', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426548
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 39945647237045814, 6422263352438607, 27475552499010030, 2202858817115774000], 'label': '2048.cqm.64._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.A', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426549
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980601107522341904, 19709062341273, 2202858817115774000, 1980661248100069008, 6402554290097334], 'label': '2048.cqm.64._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.B', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426550
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [19709062341273, 2202858817115774000, 1980661248100069008, 6632332767393, 6402554290097334], 'label': '2048.cqm.64._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.C', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426551
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 857525679796802210, 872798777849528330, 27475552499010030, 2202858817115774000, 6632332767393, 6402554290097334], 'label': '2048.cqm.4._.EH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.EH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.EH', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426552
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [19709062341273, 2202858817115774000, 6632332767393, 64163346428214, 6402554290097334], 'label': '2048.cqm.64._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.D', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426553
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 1433321809817448006, 2202858817115774000, 127555574875714280], 'label': '2048.cqm.64._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.E', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426554
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 1433321809817448006, 2202858817115774000, 614198776853305610], 'label': '2048.cqm.64._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.F', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426555
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 1433321809817448006, 2202858817115774000, 249158835891873560], 'label': '2048.cqm.64._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.G', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426556
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 1433321809817448006, 2202858817115774000, 857530910508834410], 'label': '2048.cqm.64._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.H', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426557
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 2202858817115774000, 1445770956979819950, 343792877528290622], 'label': '2048.cqm.64._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.I', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426558
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 2202858817115774000, 222189616512132086, 1445770956979819950], 'label': '2048.cqm.64._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.J', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426559
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 2202858817115774000, 1445770956979819950, 708811888515162744], 'label': '2048.cqm.64._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.K', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426560
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 2202858817115774000, 952123012202507306, 1445770956979819950], 'label': '2048.cqm.64._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.L', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426561
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 2202858817115774000, 708728178752955530, 1405954962621861654], 'label': '2048.cqm.64._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.M', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426562
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 27432399120806406, 1980598492144166904, 27475552499010030, 6402554290097334, 857420946617059946, 19709062341273, 2202858817115774000, 27496500075031680], 'label': '2048.cqm.4._.EI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.EI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.EI', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426563
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 222252409748766440, 19709062341273, 2202858817115774000, 1405954962621861654], 'label': '2048.cqm.64._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.N', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426564
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 2202858817115774000, 343876587287916440, 1405954962621861654], 'label': '2048.cqm.64._.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.O', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.O', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426565
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 2202858817115774000, 952060218963295850, 1405954962621861654], 'label': '2048.cqm.64._.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.P', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.P', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426566
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 249263475628640702, 2202858817115774000], 'label': '2048.cqm.64._.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.Q', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.Q', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426567
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 2202858817115774000, 127660308058073846], 'label': '2048.cqm.64._.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.R', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.R', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426568
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 614094137119119864, 2202858817115774000], 'label': '2048.cqm.64._.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.S', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.S', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426569
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 857426177329455146, 19709062341273, 2202858817115774000], 'label': '2048.cqm.64._.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.T', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.T', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426570
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 39924699659940486, 2202858817115774000, 1412090677027040646], 'label': '2048.cqm.64._.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.U', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.U', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426571
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 39924699659940486, 1445840194671008694, 2202858817115774000], 'label': '2048.cqm.64._.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.V', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.V', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426572
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 39924699659940486, 27563185354003287, 2202858817115774000], 'label': '2048.cqm.64._.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.W', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.W', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426573
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 27475552499010030, 2202858817115774000, 857420946617059946, 73672654056506286, 27496500075031680, 6402554290097334], 'label': '2048.cqm.4._.EJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.EJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.EJ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426574
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 111359288509213, 19709062341273, 39924699659940486, 2202858817115774000], 'label': '2048.cqm.64._.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.X', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.X', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426575
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 1445525032773709440, 27475552499010030, 2202858817115774000], 'label': '2048.cqm.64._.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.Y', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.Y', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426576
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 1433075885612421174, 27475552499010030, 2202858817115774000], 'label': '2048.cqm.64._.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.Z', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.Z', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426577
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 39948262618850007, 19709062341273, 27475552499010030, 2202858817115774000], 'label': '2048.cqm.64._.BA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.BA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.BA', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426584
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27475552499010030, 6402554290097334, 857420946617059946, 19709062341273, 27436328447544733, 2202858817115774000, 27496500075031680], 'label': '2048.cqm.4._.EK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.EK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.EK', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426585
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 27475552499010030, 2202858817115774000, 1433069347229654934], 'label': '2048.cqm.64._.BH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.BH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.BH', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426586
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 1433321809817448006, 2202858817115774000, 39927315041744413], 'label': '2048.cqm.64._.BI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.BI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.BI', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426587
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 1433321809817448006, 2202858817115774000, 6409186622864727], 'label': '2048.cqm.64._.BJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.BJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.BJ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426588
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 1433321809817448006, 2202858817115774000, 27478167880813957], 'label': '2048.cqm.64._.BK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.BK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.BK', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426589
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 1433321809817448006, 2202858817115774000, 6632332767393], 'label': '2048.cqm.64._.BL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.BL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.BL', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426590
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 2202858817115774000, 1405954962621861654, 6409186622864727], 'label': '2048.cqm.64._.BM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.BM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.BM', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426591
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 2202858817115774000, 39927315041744413, 1405954962621861654], 'label': '2048.cqm.64._.BN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.BN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.BN', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426592
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 2202858817115774000, 27478167880813957, 1405954962621861654], 'label': '2048.cqm.64._.BO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.BO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.BO', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426593
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 2202858817115774000, 6632332767393, 1405954962621861654], 'label': '2048.cqm.64._.BP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.BP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.BP', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426594
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 2202858817115774000, 27478167880813957, 1445770956979819950], 'label': '2048.cqm.64._.BQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.BQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.BQ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426595
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27475552499010030, 6402554290097334, 857420946617059946, 19709062341273, 2202858817115774000, 27496500075031680, 73679198673551767], 'label': '2048.cqm.4._.EL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.EL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.EL', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426596
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 2202858817115774000, 39927315041744413, 1445770956979819950], 'label': '2048.cqm.64._.BR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.BR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.BR', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426597
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 2202858817115774000, 1445770956979819950, 6409186622864727], 'label': '2048.cqm.64._.BS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.BS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.BS', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426598
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 2202858817115774000, 1445770956979819950, 6632332767393], 'label': '2048.cqm.64._.BT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.BT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.BT', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426599
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 2202858817115774000, 27478167880813957], 'label': '2048.cqm.64._.BU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.BU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.BU', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426600
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 2202858817115774000, 39927315041744413], 'label': '2048.cqm.64._.BV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.BV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.BV', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426601
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 2202858817115774000, 6409186622864727], 'label': '2048.cqm.64._.BW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.BW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.BW', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426602
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 2202858817115774000, 6632332767393], 'label': '2048.cqm.64._.BX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.BX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.BX', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426603
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 39924699659940486, 2202858817115774000, 1412363961888284160], 'label': '2048.cqm.64._.BY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.BY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.BY', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426604
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 39924699659940486, 2202858817115774000, 1445777495359285230], 'label': '2048.cqm.64._.BZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.BZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.BZ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426605
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 39924699659940486, 2202858817115774000, 27478167880813957], 'label': '2048.cqm.64._.CA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.CA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.CA', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426606
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [27432399120806406, 1412357423505517920, 1980598492144166904, 27499115456835873, 27475552499010030, 6402554290097334, 857420946617059946, 19709062341273, 2202858817115774000], 'label': '2048.cqm.4._.EM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.EM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.EM', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426607
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 39924699659940486, 2202858817115774000, 6632332767393], 'label': '2048.cqm.64._.CB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.CB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.CB', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426608
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 2202858817115774000, 1412363961888284160, 6402554290097334], 'label': '2048.cqm.64._.CC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.CC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.CC', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426609
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 2202858817115774000, 1445777495359285230, 6402554290097334], 'label': '2048.cqm.64._.CD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.CD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.CD', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426610
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 2202858817115774000, 27478167880813957, 6402554290097334], 'label': '2048.cqm.64._.CE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.CE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.CE', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426611
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 2202858817115774000, 6632332767393, 6402554290097334], 'label': '2048.cqm.64._.CF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.CF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.CF', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426612
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 27475552499010030, 2202858817115774000, 1412363961888284160], 'label': '2048.cqm.64._.CG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.CG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.CG', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426613
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 27475552499010030, 2202858817115774000, 1405961501004627894], 'label': '2048.cqm.64._.CH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.CH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.CH', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426614
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 27475552499010030, 2202858817115774000, 6409186622864727], 'label': '2048.cqm.64._.CI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.CI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.CI', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426615
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 27475552499010030, 2202858817115774000, 6632332767393], 'label': '2048.cqm.64._.CJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.CJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.CJ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426616
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1445518494390943200, 1980598492144166904, 19709062341273, 27475552499010030, 2202858817115774000], 'label': '2048.cqm.64._.CK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.CK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.CK', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426617
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [27432399120806406, 1412357423505517920, 1980598492144166904, 27475552499010030, 6402554290097334, 857420946617059946, 19709062341273, 95020355265755311, 2202858817115774000, 27496500075031680], 'label': '2048.cqm.2._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2._.N', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426618
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 73672654056506286, 1980598492144166904, 27499115456835873, 27475552499010030, 6402554290097334, 857420946617059946, 19709062341273, 2202858817115774000], 'label': '2048.cqm.4._.EN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.EN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.EN', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426619
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 39945647237045814, 27475552499010030, 2202858817115774000], 'label': '2048.cqm.64._.CL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.CL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.CL', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426620
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 27475552499010030, 2202858817115774000, 27496500075031680], 'label': '2048.cqm.64._.CM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.CM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.CM', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426621
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 27475552499010030, 2202858817115774000, 1405954962621861654, 39961345575404367], 'label': '2048.cqm.64._.CN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.CN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.CN', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426622
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 27475552499010030, 2202858817115774000, 27512198413390233, 1405954962621861654], 'label': '2048.cqm.64._.CO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.CO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.CO', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426623
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 27475552499010030, 2202858817115774000, 39961345575404367], 'label': '2048.cqm.64._.CP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.CP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.CP', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426624
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 27475552499010030, 2202858817115774000, 27512198413390233], 'label': '2048.cqm.64._.CQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.CQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.CQ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426625
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 27475552499010030, 2202858817115774000, 1445534280418556793, 6402554290097334], 'label': '2048.cqm.64._.CR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.CR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.CR', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426626
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 27475552499010030, 2202858817115774000, 27512198413390233, 6402554290097334], 'label': '2048.cqm.64._.CS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.CS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.CS', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426627
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 2202858817115774000, 27432399120806406, 6402554290097334], 'label': '2048.cqm.64._.CT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.CT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.CT', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426628
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1445812795928976966, 27475552499010030, 2202858817115774000, 6402554290097334], 'label': '2048.cqm.64._.CU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.CU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.CU', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426629
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27499115456835873, 27475552499010030, 6402554290097334, 857420946617059946, 19709062341273, 27436328447544733, 2202858817115774000], 'label': '2048.cqm.4._.EO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.EO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.EO', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426630
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 27475552499010030, 2202858817115774000, 27432399120806406, 6402554290097334], 'label': '2048.cqm.64._.CV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.CV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.CV', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426631
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 27475552499010030, 2202858817115774000, 1405954962621861654], 'label': '2048.cqm.64._.CW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.CW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.CW', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426632
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 39945647237045814, 27475552499010030, 2202858817115774000, 1405954962621861654], 'label': '2048.cqm.64._.CX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.CX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.CX', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426633
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 27475552499010030, 2202858817115774000, 27496500075031680, 1405954962621861654], 'label': '2048.cqm.64._.CY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.CY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.CY', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426634
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 39945647237045814, 27475552499010030, 2202858817115774000], 'label': '2048.cqm.64._.CZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.CZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.CZ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426635
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 27475552499010030, 2202858817115774000, 27496500075031680], 'label': '2048.cqm.64._.DA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.DA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.DA', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426636
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1445518494390943200, 1980598492144166904, 27475552499010030, 2202858817115774000, 6402554290097334], 'label': '2048.cqm.64._.DB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.DB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.DB', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426637
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 614193546141273410, 6422263352438607, 1433321809817448006, 2202858817115774000], 'label': '2048.cqm.64._.DC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.DC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.DC', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426638
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 127549036488955520, 6422263352438607, 1433321809817448006, 2202858817115774000], 'label': '2048.cqm.64._.DD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.DD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.DD', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426639
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 6422263352438607, 1433321809817448006, 2202858817115774000, 249152297505114800], 'label': '2048.cqm.64._.DE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.DE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.DE', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426640
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27499115456835873, 27475552499010030, 6402554290097334, 857420946617059946, 19709062341273, 2202858817115774000, 73679198673551767], 'label': '2048.cqm.4._.EP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.EP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.EP', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426641
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 857525679796802210, 6422263352438607, 1433321809817448006, 2202858817115774000], 'label': '2048.cqm.64._.DF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.DF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.DF', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426642
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 614193546141273410, 1433321809817448006, 2202858817115774000, 39940391810826879], 'label': '2048.cqm.64._.DG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.DG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.DG', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426643
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 127549036488955520, 1433321809817448006, 2202858817115774000, 39940391810826879], 'label': '2048.cqm.64._.DH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.DH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.DH', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426644
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1433321809817448006, 2202858817115774000, 249152297505114800, 39940391810826879], 'label': '2048.cqm.64._.DI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.DI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.DI', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426645
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 857525679796802210, 1433321809817448006, 2202858817115774000, 39940391810826879], 'label': '2048.cqm.64._.DJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.DJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.DJ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426646
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 614193546141273410, 27491244649896423, 1433321809817448006, 2202858817115774000], 'label': '2048.cqm.64._.DK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.DK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.DK', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426647
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 127549036488955520, 27491244649896423, 1433321809817448006, 2202858817115774000], 'label': '2048.cqm.64._.DL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.DL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.DL', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426648
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 27491244649896423, 1433321809817448006, 2202858817115774000, 249152297505114800], 'label': '2048.cqm.64._.DM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.DM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.DM', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426649
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 27491244649896423, 857525679796802210, 1433321809817448006, 2202858817115774000], 'label': '2048.cqm.64._.DN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.DN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.DN', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426650
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 614193546141273410, 19709062341273, 1433321809817448006, 2202858817115774000], 'label': '2048.cqm.64._.DO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.DO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.DO', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426651
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [27432399120806406, 1412357423505517920, 1980598492144166904, 27475552499010030, 6402554290097334, 857426177329455146, 19709062341273, 2202858817115774000, 27496500075031680], 'label': '2048.cqm.4._.EQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.EQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.EQ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426652
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 127549036488955520, 19709062341273, 1433321809817448006, 2202858817115774000], 'label': '2048.cqm.64._.DP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.DP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.DP', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426653
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 1433321809817448006, 2202858817115774000, 249152297505114800], 'label': '2048.cqm.64._.DQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.DQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.DQ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426654
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 857525679796802210, 1433321809817448006, 2202858817115774000], 'label': '2048.cqm.64._.DR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.DR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.DR', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426655
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 39924699659940486, 2202858817115774000, 614209332172520717], 'label': '2048.cqm.64._.DS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.DS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.DS', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426656
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [857541465828049517, 1980598492144166904, 1412357423505517920, 39924699659940486, 2202858817115774000], 'label': '2048.cqm.64._.DT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.DT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.DT', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426657
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1898114746714692011, 2202858817115774000, 1445770956979819950, 6402554290097334], 'label': '2048.cqm.64._.DU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.DU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.DU', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426658
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [857541465828049517, 1980598492144166904, 2202858817115774000, 1445770956979819950, 6402554290097334], 'label': '2048.cqm.64._.DV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.DV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.DV', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426659
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 27475552499010030, 2202858817115774000, 614209332172520717, 1405954962621861654], 'label': '2048.cqm.64._.DW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.DW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.DW', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426660
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [857541465828049517, 1980598492144166904, 27475552499010030, 2202858817115774000, 1405954962621861654], 'label': '2048.cqm.64._.DX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.DX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.DX', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426661
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 27475552499010030, 2202858817115774000, 27496500075031680, 6402554290097334], 'label': '2048.cqm.64._.DY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.DY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.DY', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426662
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 73672654056506286, 1980598492144166904, 27475552499010030, 6402554290097334, 857426177329455146, 19709062341273, 2202858817115774000, 27496500075031680], 'label': '2048.cqm.4._.ER', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.ER', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.ER', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426663
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 6422263352438607, 27475552499010030, 2202858817115774000], 'label': '2048.cqm.64._.DZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.DZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.DZ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426664
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 27475552499010030, 2202858817115774000], 'label': '2048.cqm.64._.EA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.EA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.EA', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426665
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412371901815177593, 27475552499010030, 2202858817115774000, 6402554290097334], 'label': '2048.cqm.64._.EB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.EB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.EB', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426666
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 614193546141273410, 39924699659940486, 2202858817115774000], 'label': '2048.cqm.64._.EC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.EC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.EC', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426667
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 39924699659940486, 857525679796802210, 2202858817115774000], 'label': '2048.cqm.64._.ED', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.ED', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.ED', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426668
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 2202858817115774000, 1898100268872813602, 1445770956979819950, 6402554290097334], 'label': '2048.cqm.64._.EE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.EE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.EE', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426669
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 857525679796802210, 2202858817115774000, 1445770956979819950, 6402554290097334], 'label': '2048.cqm.64._.EF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.EF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.EF', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426670
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 614193546141273410, 27475552499010030, 2202858817115774000, 1405954962621861654], 'label': '2048.cqm.64._.EG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.EG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.EG', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426671
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 857525679796802210, 27475552499010030, 2202858817115774000, 1405954962621861654], 'label': '2048.cqm.64._.EH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.EH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.EH', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426672
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 27475552499010030, 2202858817115774000, 6402554290097334], 'label': '2048.cqm.64._.EI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.EI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.EI', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426673
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27475552499010030, 6402554290097334, 857426177329455146, 19709062341273, 27436328447544733, 2202858817115774000, 27496500075031680], 'label': '2048.cqm.4._.ES', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.ES', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.ES', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426674
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 2202858817115774000, 1445785435329723997, 1412294667993135894, 6402554290097334], 'label': '2048.cqm.64._.EJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.EJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.EJ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426675
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1445812795928976966, 2202858817115774000, 1445785435329723997, 6402554290097334], 'label': '2048.cqm.64._.EK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.EK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.EK', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426676
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 2202858817115774000, 1445785435329723997, 64163346428214, 6402554290097334], 'label': '2048.cqm.64._.EL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.EL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.EL', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426677
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [222183078125368166, 1980598492144166904, 2202858817115774000, 1445770956979819950, 39940391810826879], 'label': '2048.cqm.64._.EM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.EM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.EM', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426678
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 2202858817115774000, 1445770956979819950, 39940391810826879, 343786339141526702], 'label': '2048.cqm.64._.EN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.EN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.EN', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426679
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 2202858817115774000, 1445770956979819950, 39940391810826879, 708806657802767544], 'label': '2048.cqm.64._.EO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.EO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.EO', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426680
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 952117781490112106, 2202858817115774000, 1445770956979819950, 39940391810826879], 'label': '2048.cqm.64._.EP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.EP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.EP', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426681
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [222183078125368166, 1980598492144166904, 27491244649896423, 2202858817115774000, 1445770956979819950], 'label': '2048.cqm.64._.EQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.EQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.EQ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426682
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 27491244649896423, 2202858817115774000, 1445770956979819950, 343786339141526702], 'label': '2048.cqm.64._.ER', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.ER', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.ER', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426683
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 27491244649896423, 2202858817115774000, 1445770956979819950, 708806657802767544], 'label': '2048.cqm.64._.ES', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.ES', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.ES', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426684
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27475552499010030, 6402554290097334, 857426177329455146, 19709062341273, 2202858817115774000, 27496500075031680, 73679198673551767], 'label': '2048.cqm.4._.ET', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.ET', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.ET', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426685
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 27491244649896423, 952117781490112106, 2202858817115774000, 1445770956979819950], 'label': '2048.cqm.64._.ET', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.ET', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.ET', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426686
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [222183078125368166, 1980598492144166904, 6422263352438607, 2202858817115774000, 1445770956979819950], 'label': '2048.cqm.64._.EU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.EU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.EU', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426687
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 6422263352438607, 2202858817115774000, 1445770956979819950, 343786339141526702], 'label': '2048.cqm.64._.EV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.EV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.EV', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426688
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 6422263352438607, 2202858817115774000, 1445770956979819950, 708806657802767544], 'label': '2048.cqm.64._.EW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.EW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.EW', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426689
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 952117781490112106, 6422263352438607, 2202858817115774000, 1445770956979819950], 'label': '2048.cqm.64._.EX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.EX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.EX', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426690
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [222183078125368166, 1980598492144166904, 19709062341273, 2202858817115774000, 1445770956979819950], 'label': '2048.cqm.64._.EY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.EY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.EY', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426691
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 2202858817115774000, 1445770956979819950, 343786339141526702], 'label': '2048.cqm.64._.EZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.EZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.EZ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426692
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 2202858817115774000, 1445770956979819950, 708806657802767544], 'label': '2048.cqm.64._.FA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.FA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.FA', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426693
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 952117781490112106, 2202858817115774000, 1445770956979819950], 'label': '2048.cqm.64._.FB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.FB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.FB', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426694
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 2202858817115774000, 1445770956979819950, 708821048981723667, 1405954962621861654], 'label': '2048.cqm.64._.FC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.FC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.FC', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426695
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [27432399120806406, 1412357423505517920, 27499115456835873, 1980598492144166904, 27475552499010030, 6402554290097334, 857426177329455146, 19709062341273, 2202858817115774000], 'label': '2048.cqm.4._.EU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.EU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.EU', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426696
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 2202858817115774000, 1445770956979819950, 1405954962621861654, 952132172669068229], 'label': '2048.cqm.64._.FD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.FD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.FD', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426697
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 2202858817115774000, 1864282764071788041, 1445770956979819950, 6402554290097334], 'label': '2048.cqm.64._.FE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.FE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.FE', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426698
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 2202858817115774000, 1445770956979819950, 952132172669068229, 6402554290097334], 'label': '2048.cqm.64._.FF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.FF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.FF', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426699
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 27475552499010030, 2202858817115774000, 708821048981723667], 'label': '2048.cqm.64._.FG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.FG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.FG', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426700
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 27475552499010030, 2202858817115774000, 952132172669068229], 'label': '2048.cqm.64._.FH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.FH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.FH', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426701
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 2202858817115774000, 1445785435329723997, 27432399120806406, 6402554290097334], 'label': '2048.cqm.64._.FI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.FI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.FI', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426702
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412371901815177593, 2202858817115774000, 1412294667993135894, 6402554290097334], 'label': '2048.cqm.64._.FJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.FJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.FJ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426703
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1445812795928976966, 1412371901815177593, 2202858817115774000, 6402554290097334], 'label': '2048.cqm.64._.FK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.FK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.FK', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426704
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412371901815177593, 2202858817115774000, 64163346428214, 6402554290097334], 'label': '2048.cqm.64._.FL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.FL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.FL', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426705
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 2202858817115774000, 1445770956979819950, 1405954962621861654, 708806657802767544], 'label': '2048.cqm.64._.FM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.FM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.FM', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426706
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 73672654056506286, 1980598492144166904, 27499115456835873, 27475552499010030, 6402554290097334, 857426177329455146, 19709062341273, 2202858817115774000], 'label': '2048.cqm.4._.EV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.EV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.EV', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426707
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 952117781490112106, 2202858817115774000, 1445770956979819950, 1405954962621861654], 'label': '2048.cqm.64._.FN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.FN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.FN', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426708
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1864266978076908048, 2202858817115774000, 1445770956979819950, 6402554290097334], 'label': '2048.cqm.64._.FO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.FO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.FO', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426709
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 952117781490112106, 2202858817115774000, 1445770956979819950, 6402554290097334], 'label': '2048.cqm.64._.FP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.FP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.FP', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426710
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 27475552499010030, 2202858817115774000, 708806657802767544], 'label': '2048.cqm.64._.FQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.FQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.FQ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426711
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 952117781490112106, 27475552499010030, 2202858817115774000], 'label': '2048.cqm.64._.FR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.FR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.FR', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426712
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412371901815177593, 2202858817115774000, 27432399120806406, 6402554290097334], 'label': '2048.cqm.64._.FS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.FS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.FS', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426713
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 27491244649896423, 2202858817115774000, 1412294667993135894, 6402554290097334], 'label': '2048.cqm.64._.FT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.FT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.FT', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426714
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 27491244649896423, 1445812795928976966, 2202858817115774000, 6402554290097334], 'label': '2048.cqm.64._.FU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.FU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.FU', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426715
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 27491244649896423, 2202858817115774000, 64163346428214, 6402554290097334], 'label': '2048.cqm.64._.FV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.FV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.FV', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426716
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 2202858817115774000, 222245871362007680, 39940391810826879, 1405954962621861654], 'label': '2048.cqm.64._.FW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.FW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.FW', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426717
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 27499115456835873, 1980598492144166904, 27475552499010030, 6402554290097334, 857426177329455146, 19709062341273, 27436328447544733, 2202858817115774000], 'label': '2048.cqm.4._.EW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.EW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.EW', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426718
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 2202858817115774000, 708722948040923330, 39940391810826879, 1405954962621861654], 'label': '2048.cqm.64._.FX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.FX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.FX', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426719
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 2202858817115774000, 343870048901157680, 39940391810826879, 1405954962621861654], 'label': '2048.cqm.64._.FY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.FY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.FY', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426720
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 2202858817115774000, 952054988251263650, 39940391810826879, 1405954962621861654], 'label': '2048.cqm.64._.FZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.FZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.FZ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426721
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 6422263352438607, 2202858817115774000, 222245871362007680, 1405954962621861654], 'label': '2048.cqm.64._.GA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.GA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.GA', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426722
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 6422263352438607, 2202858817115774000, 708722948040923330, 1405954962621861654], 'label': '2048.cqm.64._.GB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.GB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.GB', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426723
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 6422263352438607, 2202858817115774000, 343870048901157680, 1405954962621861654], 'label': '2048.cqm.64._.GC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.GC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.GC', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426724
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 6422263352438607, 2202858817115774000, 952054988251263650, 1405954962621861654], 'label': '2048.cqm.64._.GD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.GD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.GD', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426725
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 27491244649896423, 2202858817115774000, 222245871362007680, 1405954962621861654], 'label': '2048.cqm.64._.GE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.GE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.GE', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426726
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 27491244649896423, 2202858817115774000, 708722948040923330, 1405954962621861654], 'label': '2048.cqm.64._.GF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.GF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.GF', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426727
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 27491244649896423, 2202858817115774000, 343870048901157680, 1405954962621861654], 'label': '2048.cqm.64._.GG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.GG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.GG', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426728
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27475552499010030, 6402554290097334, 857420946617059946, 19709062341273, 27436328447544733, 2202858817115774000, 95013810648341670, 27496500075031680], 'label': '2048.cqm.2._.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.O', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2._.O', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426729
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 27499115456835873, 1980598492144166904, 27475552499010030, 6402554290097334, 857426177329455146, 19709062341273, 2202858817115774000, 73679198673551767], 'label': '2048.cqm.4._.EX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.EX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.EX', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426730
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 27491244649896423, 2202858817115774000, 952054988251263650, 1405954962621861654], 'label': '2048.cqm.64._.GH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.GH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.GH', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426731
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 2202858817115774000, 222245871362007680, 1405954962621861654], 'label': '2048.cqm.64._.GI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.GI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.GI', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426732
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 2202858817115774000, 708722948040923330, 1405954962621861654], 'label': '2048.cqm.64._.GJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.GJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.GJ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426733
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 2202858817115774000, 343870048901157680, 1405954962621861654], 'label': '2048.cqm.64._.GK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.GK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.GK', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426734
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 2202858817115774000, 952054988251263650, 1405954962621861654], 'label': '2048.cqm.64._.GL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.GL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.GL', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426735
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 2202858817115774000, 1445770956979819950, 1405954962621861654, 708737339215842317], 'label': '2048.cqm.64._.GM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.GM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.GM', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426736
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 952069379426182637, 2202858817115774000, 1445770956979819950, 1405954962621861654], 'label': '2048.cqm.64._.GN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.GN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.GN', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426737
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 2202858817115774000, 343885747754472352, 6402554290097334], 'label': '2048.cqm.64._.GO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.GO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.GO', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426738
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 952069379426182637, 2202858817115774000, 6402554290097334], 'label': '2048.cqm.64._.GP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.GP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.GP', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426739
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 27475552499010030, 2202858817115774000, 1405954962621861654, 708737339215842317], 'label': '2048.cqm.64._.GQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.GQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.GQ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426740
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [27432399120806406, 1412357423505517920, 1980598492144166904, 27475552499010030, 6402554290097334, 6632332767393, 19709062341273, 2202858817115774000, 27496500075031680], 'label': '2048.cqm.4._.EY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.EY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.EY', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426741
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 952069379426182637, 27475552499010030, 2202858817115774000, 1405954962621861654], 'label': '2048.cqm.64._.GR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.GR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.GR', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426742
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 27491244649896423, 2202858817115774000, 27432399120806406, 6402554290097334], 'label': '2048.cqm.64._.GS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.GS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.GS', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426743
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 2202858817115774000, 1412294667993135894, 6402554290097334], 'label': '2048.cqm.64._.GT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.GT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.GT', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426744
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 1445812795928976966, 2202858817115774000, 6402554290097334], 'label': '2048.cqm.64._.GU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.GU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.GU', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426745
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 2202858817115774000, 64163346428214, 6402554290097334], 'label': '2048.cqm.64._.GV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.GV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.GV', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426746
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 2202858817115774000, 708722948040923330, 1445770956979819950, 1405954962621861654], 'label': '2048.cqm.64._.GW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.GW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.GW', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426747
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 2202858817115774000, 952054988251263650, 1445770956979819950, 1405954962621861654], 'label': '2048.cqm.64._.GX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.GX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.GX', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426748
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 2202858817115774000, 343870048901157680, 6402554290097334], 'label': '2048.cqm.64._.GY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.GY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.GY', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426749
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 2202858817115774000, 952054988251263650, 6402554290097334], 'label': '2048.cqm.64._.GZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.GZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.GZ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426750
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 27475552499010030, 2202858817115774000, 708722948040923330, 1405954962621861654], 'label': '2048.cqm.64._.HA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.HA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.HA', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426751
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 73672654056506286, 1980598492144166904, 27475552499010030, 6402554290097334, 6632332767393, 19709062341273, 2202858817115774000, 27496500075031680], 'label': '2048.cqm.4._.EZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.EZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.EZ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426752
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 27475552499010030, 2202858817115774000, 952054988251263650, 1405954962621861654], 'label': '2048.cqm.64._.HB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.HB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.HB', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426753
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 2202858817115774000, 27432399120806406, 6402554290097334], 'label': '2048.cqm.64._.HC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.HC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.HC', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426754
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 27475552499010030, 2202858817115774000, 6402554290097334], 'label': '2048.cqm.64._.HD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.HD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.HD', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426755
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 6422263352438607, 2202858817115774000, 1445770956979819950, 1405954962621861654], 'label': '2048.cqm.64._.HE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.HE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.HE', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426756
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 2202858817115774000, 1445770956979819950, 1405954962621861654], 'label': '2048.cqm.64._.HF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.HF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.HF', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426757
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 2202858817115774000, 127653769671309926, 39940391810826879], 'label': '2048.cqm.64._.HG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.HG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.HG', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426758
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 249256937241876782, 2202858817115774000, 39940391810826879], 'label': '2048.cqm.64._.HH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.HH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.HH', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426759
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 2202858817115774000, 39940391810826879, 614088906406724664], 'label': '2048.cqm.64._.HI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.HI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.HI', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426760
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 2202858817115774000, 857420946617059946, 39940391810826879], 'label': '2048.cqm.64._.HJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.HJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.HJ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426761
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 27491244649896423, 2202858817115774000, 127653769671309926], 'label': '2048.cqm.64._.HK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.HK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.HK', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426762
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27475552499010030, 952054988251263650, 6402554290097334, 6632332767393, 19709062341273, 2202858817115774000, 27496500075031680], 'label': '2048.cqm.4._.FA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.FA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.FA', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426763
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 27491244649896423, 249256937241876782, 2202858817115774000], 'label': '2048.cqm.64._.HL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.HL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.HL', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426764
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 27491244649896423, 2202858817115774000, 614088906406724664], 'label': '2048.cqm.64._.HM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.HM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.HM', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426765
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 27491244649896423, 2202858817115774000, 857420946617059946], 'label': '2048.cqm.64._.HN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.HN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.HN', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426766
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 6422263352438607, 2202858817115774000, 127653769671309926], 'label': '2048.cqm.64._.HO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.HO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.HO', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426767
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 249256937241876782, 6422263352438607, 2202858817115774000], 'label': '2048.cqm.64._.HP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.HP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.HP', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426768
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 6422263352438607, 2202858817115774000, 614088906406724664], 'label': '2048.cqm.64._.HQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.HQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.HQ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426769
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 6422263352438607, 2202858817115774000, 857420946617059946], 'label': '2048.cqm.64._.HR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.HR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.HR', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426770
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 2202858817115774000, 127653769671309926], 'label': '2048.cqm.64._.HS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.HS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.HS', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426771
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 249256937241876782, 2202858817115774000], 'label': '2048.cqm.64._.HT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.HT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.HT', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426772
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 2202858817115774000, 614088906406724664], 'label': '2048.cqm.64._.HU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.HU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.HU', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426773
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27475552499010030, 6402554290097334, 6632332767393, 19709062341273, 918223088832364034, 2202858817115774000, 27496500075031680], 'label': '2048.cqm.4._.FB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.FB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.FB', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426774
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 2202858817115774000, 857420946617059946], 'label': '2048.cqm.64._.HV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.HV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.HV', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426775
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 614104692434670867, 39924699659940486, 2202858817115774000], 'label': '2048.cqm.64._.HW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.HW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.HW', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426776
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [857436732645006149, 1980598492144166904, 1412357423505517920, 39924699659940486, 2202858817115774000], 'label': '2048.cqm.64._.HX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.HX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.HX', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426777
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 2202858817115774000, 249274030948218692, 6402554290097334], 'label': '2048.cqm.64._.HY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.HY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.HY', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426778
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [857436732645006149, 1980598492144166904, 1412357423505517920, 2202858817115774000, 6402554290097334], 'label': '2048.cqm.64._.HZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.HZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.HZ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426779
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 614104692434670867, 27475552499010030, 2202858817115774000], 'label': '2048.cqm.64._.IA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.IA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.IA', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426780
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27475552499010030, 857436732645006149, 2202858817115774000], 'label': '2048.cqm.64._.IB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.IB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.IB', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426781
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 39924699659940486, 6422263352438607, 2202858817115774000], 'label': '2048.cqm.64._.IC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.IC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.IC', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426782
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1445827274239004533, 2202858817115774000, 1445770956979819950, 6402554290097334], 'label': '2048.cqm.64._.ID', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.ID', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.ID', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426783
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 27449405176750719, 2202858817115774000, 1445770956979819950, 6402554290097334], 'label': '2048.cqm.64._.IE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.IE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.IE', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426784
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 27432399120806406, 1980598492144166904, 27475552499010030, 6402554290097334, 6632332767393, 19709062341273, 952117781490112106, 2202858817115774000], 'label': '2048.cqm.4._.FC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.FC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.FC', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426785
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 82558503711567, 2202858817115774000, 6402554290097334], 'label': '2048.cqm.64._.IF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.IF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.IF', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426786
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 39924699659940486, 2202858817115774000, 614088906406724664], 'label': '2048.cqm.64._.IG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.IG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.IG', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426787
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 39924699659940486, 2202858817115774000, 857420946617059946], 'label': '2048.cqm.64._.IH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.IH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.IH', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426788
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 249256937241876782, 2202858817115774000, 6402554290097334], 'label': '2048.cqm.64._.II', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.II', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.II', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426789
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 2202858817115774000, 857420946617059946, 6402554290097334], 'label': '2048.cqm.64._.IJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.IJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.IJ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426790
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 27475552499010030, 2202858817115774000, 614088906406724664], 'label': '2048.cqm.64._.IK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.IK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.IK', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426791
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 27475552499010030, 2202858817115774000, 857420946617059946], 'label': '2048.cqm.64._.IL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.IL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.IL', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426792
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 27449405176750719, 2202858817115774000, 6402554290097334], 'label': '2048.cqm.64._.IM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.IM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.IM', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426793
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1445827274239004533, 27475552499010030, 2202858817115774000, 6402554290097334], 'label': '2048.cqm.64._.IN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.IN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.IN', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426794
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 27449405176750719, 27475552499010030, 2202858817115774000, 6402554290097334], 'label': '2048.cqm.64._.IO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.IO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.IO', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426795
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 952117781490112106, 27475552499010030, 2202858817115774000, 73672654056506286, 6632332767393, 6402554290097334], 'label': '2048.cqm.4._.FD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.FD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.FD', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426796
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 39924699659940486, 2202858817115774000], 'label': '2048.cqm.64._.IP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.IP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.IP', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426797
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 39924699659940486, 2202858817115774000, 1445785435329723997, 1445833656288242454], 'label': '2048.cqm.64._.IQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.IQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.IQ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426798
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 39924699659940486, 2202858817115774000, 1445785435329723997, 1412084138643906246], 'label': '2048.cqm.64._.IR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.IR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.IR', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426799
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 39924699659940486, 2202858817115774000, 27559256030933814, 1445785435329723997], 'label': '2048.cqm.64._.IS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.IS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.IS', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426800
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 39924699659940486, 2202858817115774000, 1445785435329723997, 106040900676486], 'label': '2048.cqm.64._.IT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.IT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.IT', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426801
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 39924699659940486, 1412371901815177593, 2202858817115774000, 1445833656288242454], 'label': '2048.cqm.64._.IU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.IU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.IU', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426802
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 39924699659940486, 1412371901815177593, 2202858817115774000, 1412084138643906246], 'label': '2048.cqm.64._.IV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.IV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.IV', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426803
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 39924699659940486, 1412371901815177593, 2202858817115774000, 27559256030933814], 'label': '2048.cqm.64._.IW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.IW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.IW', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426804
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 39924699659940486, 1412371901815177593, 2202858817115774000, 106040900676486], 'label': '2048.cqm.64._.IX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.IX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.IX', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426805
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 27491244649896423, 39924699659940486, 2202858817115774000, 1445833656288242454], 'label': '2048.cqm.64._.IY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.IY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.IY', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426806
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 952117781490112106, 27475552499010030, 2202858817115774000, 952054988251263650, 6632332767393, 6402554290097334], 'label': '2048.cqm.4._.FE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.FE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.FE', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426807
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 27491244649896423, 39924699659940486, 2202858817115774000, 1412084138643906246], 'label': '2048.cqm.64._.IZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.IZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.IZ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426808
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 27491244649896423, 39924699659940486, 2202858817115774000, 27559256030933814], 'label': '2048.cqm.64._.JA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.JA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.JA', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426809
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 27491244649896423, 39924699659940486, 2202858817115774000, 106040900676486], 'label': '2048.cqm.64._.JB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.JB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.JB', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426810
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 39924699659940486, 2202858817115774000, 1445833656288242454], 'label': '2048.cqm.64._.JC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.JC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.JC', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426811
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 39924699659940486, 2202858817115774000, 1412084138643906246], 'label': '2048.cqm.64._.JD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.JD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.JD', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426812
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 39924699659940486, 2202858817115774000, 27559256030933814], 'label': '2048.cqm.64._.JE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.JE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.JE', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426813
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 39924699659940486, 2202858817115774000, 106040900676486], 'label': '2048.cqm.64._.JF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.JF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.JF', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426814
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 6526989828725223, 2202858817115774000, 1445770956979819950, 1405954962621861654], 'label': '2048.cqm.64._.JG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.JG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.JG', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426815
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 2202858817115774000, 1445770956979819950, 1405954962621861654, 124442244695679], 'label': '2048.cqm.64._.JH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.JH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.JH', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426816
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 39924699659940486, 6526989828725223, 2202858817115774000], 'label': '2048.cqm.64._.JI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.JI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.JI', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426817
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27475552499010030, 6402554290097334, 6632332767393, 19709062341273, 918223088832364034, 952117781490112106, 2202858817115774000], 'label': '2048.cqm.4._.FF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.FF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.FF', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426818
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 39924699659940486, 2202858817115774000, 124442244695679], 'label': '2048.cqm.64._.JJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.JJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.JJ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426819
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 27475552499010030, 2202858817115774000, 1412099924671887733, 6402554290097334], 'label': '2048.cqm.64._.JK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.JK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.JK', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426820
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 27475552499010030, 2202858817115774000, 124442244695679, 6402554290097334], 'label': '2048.cqm.64._.JL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.JL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.JL', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426821
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412371901815177593, 2202858817115774000, 1445770956979819950, 6402554290097334], 'label': '2048.cqm.64._.JM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.JM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.JM', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426822
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 2202858817115774000, 1445770956979819950, 6402554290097334], 'label': '2048.cqm.64._.JN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.JN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.JN', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426823
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 27491244649896423, 2202858817115774000, 6402554290097334], 'label': '2048.cqm.64._.JO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.JO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.JO', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426824
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 2202858817115774000, 6402554290097334], 'label': '2048.cqm.64._.JP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.JP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.JP', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426825
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 2202858817115774000, 6508588484706030, 1445770956979819950, 1405954962621861654], 'label': '2048.cqm.64._.JQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.JQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.JQ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426826
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 2202858817115774000, 106040900676486, 1445770956979819950, 1405954962621861654], 'label': '2048.cqm.64._.JR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.JR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.JR', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426827
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 39924699659940486, 2202858817115774000, 6508588484706030], 'label': '2048.cqm.64._.JS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.JS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.JS', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426828
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 27432399120806406, 1980598492144166904, 27475552499010030, 6402554290097334, 857420946617059946, 6632332767393, 19709062341273, 2202858817115774000], 'label': '2048.cqm.4._.FG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.FG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.FG', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426829
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 39924699659940486, 2202858817115774000, 106040900676486], 'label': '2048.cqm.64._.JT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.JT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.JT', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426830
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 27475552499010030, 2202858817115774000, 1412084138643906246, 6402554290097334], 'label': '2048.cqm.64._.JU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.JU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.JU', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426831
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 27475552499010030, 2202858817115774000, 106040900676486, 6402554290097334], 'label': '2048.cqm.64._.JV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.JV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.JV', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426832
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 6422263352438607, 27475552499010030, 2202858817115774000, 1405954962621861654], 'label': '2048.cqm.64._.JW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.JW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.JW', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426833
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1445812795928976966, 2202858817115774000, 1445770956979819950, 6402554290097334], 'label': '2048.cqm.64._.JX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.JX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.JX', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426834
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 2202858817115774000, 1445770956979819950, 27432399120806406, 6402554290097334], 'label': '2048.cqm.64._.JY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.JY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.JY', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426835
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 2202858817115774000, 64163346428214, 6402554290097334], 'label': '2048.cqm.64._.JZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.JZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.JZ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426836
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1405969440931521327, 1980598492144166904, 27475552499010030, 2202858817115774000, 1433069347229654934], 'label': '2048.cqm.64._.KA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.KA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.KA', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426837
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 27475552499010030, 1405969440931521327, 1445518494390943200, 2202858817115774000], 'label': '2048.cqm.64._.KB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.KB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.KB', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426838
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1405969440931521327, 1980598492144166904, 39945647237045814, 27475552499010030, 2202858817115774000], 'label': '2048.cqm.64._.KC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.KC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.KC', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426839
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 27432399120806406, 1980598492144166904, 27475552499010030, 6402554290097334, 857420946617059946, 19709062341273, 2202858817115774000, 95013810648341670, 27496500075031680], 'label': '2048.cqm.2._.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.P', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2._.P', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426840
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 27475552499010030, 2202858817115774000, 857420946617059946, 73672654056506286, 6632332767393, 6402554290097334], 'label': '2048.cqm.4._.FH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.FH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.FH', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426841
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1405969440931521327, 1980598492144166904, 27475552499010030, 2202858817115774000, 27496500075031680], 'label': '2048.cqm.64._.KD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.KD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.KD', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426842
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412371901815177593, 27475552499010030, 2202858817115774000, 1433069347229654934], 'label': '2048.cqm.64._.KE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.KE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.KE', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426843
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 27475552499010030, 1445518494390943200, 1412371901815177593, 2202858817115774000], 'label': '2048.cqm.64._.KF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.KF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.KF', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426844
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 39945647237045814, 1412371901815177593, 27475552499010030, 2202858817115774000], 'label': '2048.cqm.64._.KG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.KG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.KG', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426845
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412371901815177593, 27475552499010030, 2202858817115774000, 27496500075031680], 'label': '2048.cqm.64._.KH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.KH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.KH', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426846
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 6422263352438607, 27475552499010030, 2202858817115774000, 1433069347229654934], 'label': '2048.cqm.64._.KI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.KI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.KI', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426847
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1445518494390943200, 1980598492144166904, 6422263352438607, 27475552499010030, 2202858817115774000], 'label': '2048.cqm.64._.KJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.KJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.KJ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426848
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980601107522341904, 19709062341273, 2202858817115774000, 64163346428214, 6402554290097334], 'label': '2048.cqm.64._.KK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.KK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.KK', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426849
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1405969440931521327, 1980598492144166904, 27475552499010030, 2202858817115774000], 'label': '2048.cqm.128._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.A', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426850
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [19709062341273, 2202858817115774000, 69481734261207, 6402554290097334], 'label': '2048.cqm.128._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.B', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426851
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 27475552499010030, 2202858817115774000, 857420946617059946, 106040900676486, 6632332767393, 6402554290097334], 'label': '2048.cqm.4._.FI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.FI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.FI', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426852
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980601107522341904, 19709062341273, 2202858817115774000, 1993047639306181008], 'label': '2048.cqm.128._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.C', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426853
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [19709062341273, 2202858817115774000, 1993047639306181008, 6632332767393], 'label': '2048.cqm.128._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.D', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426854
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980601107522341904, 19709062341273, 2202858817115774000, 6402554290097334], 'label': '2048.cqm.128._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.E', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426855
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [19709062341273, 2202858817115774000, 6632332767393, 6402554290097334], 'label': '2048.cqm.128._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.F', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426856
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 2202858817115774000, 1412363961888284160], 'label': '2048.cqm.128._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.G', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426857
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 2202858817115774000, 1405961501004627894], 'label': '2048.cqm.128._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.H', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426858
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 2202858817115774000, 1433328348196913286], 'label': '2048.cqm.128._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.I', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426859
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 2202858817115774000, 1445777495359285230], 'label': '2048.cqm.128._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.J', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426860
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 2202858817115774000, 27478167880813957], 'label': '2048.cqm.128._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.K', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426861
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 2202858817115774000, 39927315041744413], 'label': '2048.cqm.128._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.L', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426904
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 2202858817115774000, 614088906406724664], 'label': '2048.cqm.128._.BY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.BY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.BY', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426862
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 73778600509622286, 27475552499010030, 2202858817115774000, 857420946617059946, 6632332767393, 6402554290097334], 'label': '2048.cqm.4._.FJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.FJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.FJ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426863
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 2202858817115774000, 6409186622864727], 'label': '2048.cqm.128._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.M', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426864
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 2202858817115774000, 6632332767393], 'label': '2048.cqm.128._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.N', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426865
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412371901815177593, 27475552499010030, 2202858817115774000], 'label': '2048.cqm.128._.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.O', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.O', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426866
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 6422263352438607, 27475552499010030, 2202858817115774000], 'label': '2048.cqm.128._.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.P', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.P', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426867
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 27475552499010030, 2202858817115774000], 'label': '2048.cqm.128._.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.Q', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.Q', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426868
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 2202858817115774000, 6402554290097334], 'label': '2048.cqm.128._.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.R', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.R', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426869
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 27475552499010030, 2202858817115774000, 1405954962621861654], 'label': '2048.cqm.128._.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.S', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.S', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426870
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 27475552499010030, 2202858817115774000], 'label': '2048.cqm.128._.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.T', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.T', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426871
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1433321809817448006, 2202858817115774000, 614209332172520717], 'label': '2048.cqm.128._.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.U', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.U', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426872
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [127566130191260272, 1980598492144166904, 1433321809817448006, 2202858817115774000], 'label': '2048.cqm.128._.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.V', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.V', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426873
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 27475552499010030, 2202858817115774000, 857420946617059946, 95013810648341670, 27496500075031680, 6402554290097334], 'label': '2048.cqm.4._.FK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.FK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.FK', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426874
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249169391207419552, 1980598492144166904, 1433321809817448006, 2202858817115774000], 'label': '2048.cqm.128._.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.W', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.W', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426875
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [857541465828049517, 1980598492144166904, 1433321809817448006, 2202858817115774000], 'label': '2048.cqm.128._.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.X', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.X', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426876
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 614193546141273410, 1433321809817448006, 2202858817115774000], 'label': '2048.cqm.128._.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.Y', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.Y', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426877
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 127549036488955520, 1433321809817448006, 2202858817115774000], 'label': '2048.cqm.128._.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.Z', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.Z', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426878
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1433321809817448006, 2202858817115774000, 249152297505114800], 'label': '2048.cqm.128._.BA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.BA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.BA', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426879
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 857525679796802210, 1433321809817448006, 2202858817115774000], 'label': '2048.cqm.128._.BB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.BB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.BB', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426880
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 222198776975381756, 2202858817115774000, 1445770956979819950], 'label': '2048.cqm.128._.BC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.BC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.BC', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426881
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 2202858817115774000, 1445770956979819950, 343802037991540292], 'label': '2048.cqm.128._.BD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.BD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.BD', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426882
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 2202858817115774000, 1445770956979819950, 708821048981723667], 'label': '2048.cqm.128._.BE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.BE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.BE', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426883
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 2202858817115774000, 1445770956979819950, 952132172669068229], 'label': '2048.cqm.128._.BF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.BF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.BF', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426884
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27475552499010030, 6402554290097334, 857420946617059946, 19709062341273, 95020355265755311, 2202858817115774000, 27496500075031680], 'label': '2048.cqm.4._.FL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.FL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.FL', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426885
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [222183078125368166, 1980598492144166904, 2202858817115774000, 1445770956979819950], 'label': '2048.cqm.128._.BG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.BG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.BG', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426886
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 2202858817115774000, 1445770956979819950, 343786339141526702], 'label': '2048.cqm.128._.BH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.BH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.BH', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426887
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 2202858817115774000, 1445770956979819950, 708806657802767544], 'label': '2048.cqm.128._.BI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.BI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.BI', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426888
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 952117781490112106, 2202858817115774000, 1445770956979819950], 'label': '2048.cqm.128._.BJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.BJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.BJ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426889
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 2202858817115774000, 222261570215322352, 1405954962621861654], 'label': '2048.cqm.128._.BK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.BK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.BK', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426890
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 2202858817115774000, 1405954962621861654, 708737339215842317], 'label': '2048.cqm.128._.BL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.BL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.BL', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426891
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 2202858817115774000, 343885747754472352, 1405954962621861654], 'label': '2048.cqm.128._.BM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.BM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.BM', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426892
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 952069379426182637, 2202858817115774000, 1405954962621861654], 'label': '2048.cqm.128._.BN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.BN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.BN', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426893
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 2202858817115774000, 222245871362007680, 1405954962621861654], 'label': '2048.cqm.128._.BO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.BO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.BO', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426894
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 2202858817115774000, 708722948040923330, 1405954962621861654], 'label': '2048.cqm.128._.BP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.BP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.BP', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426895
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27499115456835873, 27475552499010030, 6402554290097334, 857420946617059946, 19709062341273, 2202858817115774000, 95013810648341670], 'label': '2048.cqm.4._.FM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.FM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.FM', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426896
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 2202858817115774000, 343870048901157680, 1405954962621861654], 'label': '2048.cqm.128._.BQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.BQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.BQ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426897
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 2202858817115774000, 952054988251263650, 1405954962621861654], 'label': '2048.cqm.128._.BR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.BR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.BR', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426898
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [127670863377651836, 1980598492144166904, 1412357423505517920, 2202858817115774000], 'label': '2048.cqm.128._.BS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.BS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.BS', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426899
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 2202858817115774000, 249274030948218692], 'label': '2048.cqm.128._.BT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.BT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.BT', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426900
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 614104692434670867, 2202858817115774000], 'label': '2048.cqm.128._.BU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.BU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.BU', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426901
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [857436732645006149, 1980598492144166904, 1412357423505517920, 2202858817115774000], 'label': '2048.cqm.128._.BV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.BV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.BV', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426902
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 2202858817115774000, 127653769671309926], 'label': '2048.cqm.128._.BW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.BW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.BW', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426903
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 249256937241876782, 2202858817115774000], 'label': '2048.cqm.128._.BX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.BX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.BX', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426905
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 2202858817115774000, 857420946617059946], 'label': '2048.cqm.128._.BZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.BZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.BZ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426906
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27499115456835873, 27475552499010030, 6402554290097334, 857420946617059946, 19709062341273, 95020355265755311, 2202858817115774000], 'label': '2048.cqm.4._.FN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.FN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.FN', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426907
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 39924699659940486, 1445848128410798127, 2202858817115774000], 'label': '2048.cqm.128._.CA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.CA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.CA', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426908
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 39924699659940486, 2202858817115774000, 1412099924671887733], 'label': '2048.cqm.128._.CB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.CB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.CB', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426909
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 39924699659940486, 27574954409168847, 2202858817115774000], 'label': '2048.cqm.128._.CC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.CC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.CC', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426910
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 39924699659940486, 2202858817115774000, 124442244695679], 'label': '2048.cqm.128._.CD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.CD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.CD', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426911
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 39924699659940486, 2202858817115774000, 1445833656288242454], 'label': '2048.cqm.128._.CE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.CE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.CE', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426912
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 39924699659940486, 2202858817115774000, 1412084138643906246], 'label': '2048.cqm.128._.CF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.CF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.CF', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426913
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 39924699659940486, 2202858817115774000, 27559256030933814], 'label': '2048.cqm.128._.CG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.CG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.CG', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426914
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 39924699659940486, 2202858817115774000, 106040900676486], 'label': '2048.cqm.128._.CH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.CH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.CH', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426915
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 27475552499010030, 2202858817115774000, 1433085133257268527], 'label': '2048.cqm.128._.CI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.CI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.CI', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426916
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 27475552499010030, 2202858817115774000, 1445534280418556793], 'label': '2048.cqm.128._.CJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.CJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.CJ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426917
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27475552499010030, 6402554290097334, 857426177329455146, 19709062341273, 2202858817115774000, 95013810648341670, 27496500075031680], 'label': '2048.cqm.4._.FO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.FO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.FO', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426918
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 27475552499010030, 2202858817115774000, 39961345575404367], 'label': '2048.cqm.128._.CK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.CK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.CK', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426919
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 27475552499010030, 2202858817115774000, 27512198413390233], 'label': '2048.cqm.128._.CL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.CL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.CL', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426920
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 27475552499010030, 2202858817115774000, 1433069347229654934], 'label': '2048.cqm.128._.CM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.CM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.CM', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426921
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1445518494390943200, 1980598492144166904, 27475552499010030, 2202858817115774000], 'label': '2048.cqm.128._.CN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.CN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.CN', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426922
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 39945647237045814, 27475552499010030, 2202858817115774000], 'label': '2048.cqm.128._.CO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.CO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.CO', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426923
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 27475552499010030, 2202858817115774000, 27496500075031680], 'label': '2048.cqm.128._.CP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.CP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.CP', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426924
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980612882807788451, 2202858817115774000, 64163346428214, 6402554290097334], 'label': '2048.cqm.128._.CQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.CQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.CQ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426925
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980612882807788451, 2202858817115774000, 1980661248100069008, 6402554290097334], 'label': '2048.cqm.128._.CR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.CR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.CR', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426926
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [19709062341273, 2202858817115774000, 1980661248100069008, 6402554290097334], 'label': '2048.cqm.128._.CS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.CS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.CS', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426927
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [19709062341273, 2202858817115774000, 64163346428214, 6402554290097334], 'label': '2048.cqm.128._.CT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.CT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.CT', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426928
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27475552499010030, 6402554290097334, 857426177329455146, 19709062341273, 95020355265755311, 2202858817115774000, 27496500075031680], 'label': '2048.cqm.4._.FP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.FP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.FP', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426929
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412309146342672047, 2202858817115774000, 6402554290097334], 'label': '2048.cqm.128._.CU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.CU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.CU', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426930
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1445827274239004533, 2202858817115774000, 6402554290097334], 'label': '2048.cqm.128._.CV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.CV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.CV', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426931
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 82558503711567, 2202858817115774000, 6402554290097334], 'label': '2048.cqm.128._.CW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.CW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.CW', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426932
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 27449405176750719, 2202858817115774000, 6402554290097334], 'label': '2048.cqm.128._.CX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.CX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.CX', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426933
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 27475552499010030, 2202858817115774000, 6402554290097334], 'label': '2048.cqm.128._.CY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.CY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.CY', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426934
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 2202858817115774000, 1445770956979819950, 1405954962621861654], 'label': '2048.cqm.128._.CZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.CZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.CZ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426935
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 2202858817115774000, 1412294667993135894, 6402554290097334], 'label': '2048.cqm.128._.DA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.DA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.DA', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426936
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1445812795928976966, 2202858817115774000, 6402554290097334], 'label': '2048.cqm.128._.DB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.DB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.DB', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426937
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 2202858817115774000, 64163346428214, 6402554290097334], 'label': '2048.cqm.128._.DC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.DC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.DC', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426938
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 2202858817115774000, 27432399120806406, 6402554290097334], 'label': '2048.cqm.128._.DD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.DD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.DD', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426939
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27499115456835873, 27475552499010030, 6402554290097334, 857426177329455146, 19709062341273, 2202858817115774000, 95013810648341670], 'label': '2048.cqm.4._.FQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.FQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.FQ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426940
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 39924699659940486, 2202858817115774000], 'label': '2048.cqm.128._.DE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.DE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.DE', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426941
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 2202858817115774000, 1445770956979819950, 6402554290097334], 'label': '2048.cqm.128._.DF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.DF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.DF', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426942
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 6422263352438607, 1433321809817448006, 2202858817115774000], 'label': '2048.cqm.128._.DG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.DG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.DG', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426943
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1433321809817448006, 2202858817115774000, 39940391810826879], 'label': '2048.cqm.128._.DH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.DH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.DH', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426944
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 27491244649896423, 1433321809817448006, 2202858817115774000], 'label': '2048.cqm.128._.DI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.DI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.DI', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426945
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 1433321809817448006, 2202858817115774000], 'label': '2048.cqm.128._.DJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.DJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.DJ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426946
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 2202858817115774000, 39940391810826879, 1405954962621861654], 'label': '2048.cqm.128._.DK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.DK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.DK', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426947
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 6422263352438607, 2202858817115774000, 1405954962621861654], 'label': '2048.cqm.128._.DL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.DL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.DL', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426948
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 27491244649896423, 2202858817115774000, 1405954962621861654], 'label': '2048.cqm.128._.DM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.DM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.DM', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426949
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 2202858817115774000, 1405954962621861654], 'label': '2048.cqm.128._.DN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.DN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.DN', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426950
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 952117781490112106, 27475552499010030, 2202858817115774000, 952054988251263650, 872694139074127638, 6632332767393, 6402554290097334], 'label': '2048.cqm.2._.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.Q', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2._.Q', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426951
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27499115456835873, 27475552499010030, 6402554290097334, 857426177329455146, 19709062341273, 95020355265755311, 2202858817115774000], 'label': '2048.cqm.4._.FR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.FR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.FR', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426952
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 2202858817115774000, 1445770956979819950, 39940391810826879], 'label': '2048.cqm.128._.DO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.DO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.DO', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426953
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 27491244649896423, 2202858817115774000, 1445770956979819950], 'label': '2048.cqm.128._.DP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.DP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.DP', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426954
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 6422263352438607, 2202858817115774000, 1445770956979819950], 'label': '2048.cqm.128._.DQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.DQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.DQ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426955
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 2202858817115774000, 1445770956979819950], 'label': '2048.cqm.128._.DR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.DR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.DR', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426956
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 2202858817115774000, 39940391810826879], 'label': '2048.cqm.128._.DS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.DS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.DS', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426957
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 27491244649896423, 2202858817115774000], 'label': '2048.cqm.128._.DT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.DT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.DT', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426958
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 6422263352438607, 2202858817115774000], 'label': '2048.cqm.128._.DU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.DU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.DU', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426959
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 2202858817115774000], 'label': '2048.cqm.128._.DV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.DV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.DV', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426960
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 39924699659940486, 2202858817115774000, 1445785435329723997], 'label': '2048.cqm.128._.DW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.DW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.DW', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426961
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 39924699659940486, 1412371901815177593, 2202858817115774000], 'label': '2048.cqm.128._.DX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.DX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.DX', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426962
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27475552499010030, 6402554290097334, 6632332767393, 19709062341273, 2202858817115774000, 95013810648341670, 27496500075031680], 'label': '2048.cqm.4._.FS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.FS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.FS', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426963
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 27491244649896423, 39924699659940486, 2202858817115774000], 'label': '2048.cqm.128._.DY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.DY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.DY', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426964
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 39924699659940486, 2202858817115774000], 'label': '2048.cqm.128._.DZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.DZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.DZ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426965
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 2202858817115774000, 1445785435329723997, 6402554290097334], 'label': '2048.cqm.128._.EA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.EA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.EA', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426966
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412371901815177593, 2202858817115774000, 6402554290097334], 'label': '2048.cqm.128._.EB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.EB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.EB', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426967
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 27491244649896423, 2202858817115774000, 6402554290097334], 'label': '2048.cqm.128._.EC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.EC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.EC', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426968
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 2202858817115774000, 6402554290097334], 'label': '2048.cqm.128._.ED', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.ED', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.ED', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426969
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980665177419509288, 19709062341273, 2202858817115774000, 6402554290097334], 'label': '2048.cqm.128._.EE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.EE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.EE', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426970
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 2202858817115774000, 6402554290097334], 'label': '2048.cqm.256._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.A', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426971
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1993050254684356008, 19709062341273, 2202858817115774000], 'label': '2048.cqm.256._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.B', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426972
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [19709062341273, 2202858817115774000, 6409186622864727], 'label': '2048.cqm.256._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.C', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426973
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 872694139074127638, 27475552499010030, 6402554290097334, 6632332767393, 19709062341273, 2202858817115774000, 27496500075031680], 'label': '2048.cqm.4._.FT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.FT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.FT', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426974
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [19709062341273, 2202858817115774000, 6632332767393], 'label': '2048.cqm.256._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.D', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426975
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 27475552499010030, 2202858817115774000], 'label': '2048.cqm.256._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.E', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426976
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1433321809817448006, 2202858817115774000], 'label': '2048.cqm.256._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.F', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426977
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980675638803567035, 2202858817115774000, 6402554290097334], 'label': '2048.cqm.256._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.G', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426978
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [82558503711567, 2202858817115774000, 6402554290097334], 'label': '2048.cqm.256._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.H', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426979
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [2202858817115774000, 1980661248100069008, 6402554290097334], 'label': '2048.cqm.256._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.I', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426980
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [2202858817115774000, 64163346428214, 6402554290097334], 'label': '2048.cqm.256._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.J', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426981
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980612882807788451, 2202858817115774000, 1993047639306181008], 'label': '2048.cqm.256._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.K', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426982
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [19709062341273, 2202858817115774000, 1993047639306181008], 'label': '2048.cqm.256._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.L', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426983
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980612882807788451, 2202858817115774000, 6402554290097334], 'label': '2048.cqm.256._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.M', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426984
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 952117781490112106, 27475552499010030, 2202858817115774000, 95013810648341670, 6632332767393, 6402554290097334], 'label': '2048.cqm.4._.FU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.FU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.FU', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426985
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [19709062341273, 2202858817115774000, 6402554290097334], 'label': '2048.cqm.256._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.N', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426986
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 2202858817115774000, 1433336288167352053], 'label': '2048.cqm.256._.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.O', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.O', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426987
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 2202858817115774000, 1445785435329723997], 'label': '2048.cqm.256._.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.P', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.P', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426988
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1405969440931521327, 1980598492144166904, 2202858817115774000], 'label': '2048.cqm.256._.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.Q', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.Q', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426995
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 952117781490112106, 27475552499010030, 2202858817115774000, 872694139074127638, 6632332767393, 6402554290097334], 'label': '2048.cqm.4._.FV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.FV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.FV', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426996
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 2202858817115774000, 1445770956979819950], 'label': '2048.cqm.256._.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.X', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.X', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426997
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 2202858817115774000], 'label': '2048.cqm.256._.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.Y', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.Y', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426998
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 39924699659940486, 2202858817115774000], 'label': '2048.cqm.256._.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.Z', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.Z', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164426999
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980601107522341904, 19709062341273, 2202858817115774000], 'label': '2048.cqm.256._.BA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.BA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.BA', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427000
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [19709062341273, 2202864135499978066], 'label': '2048.cqm.512._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.A', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427001
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [19709062341273, 6632332767393], 'label': '2048.cqm.512._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.B', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427002
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980612882807788451, 2202858817115774000], 'label': '2048.cqm.512._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.C', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427003
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1993062029969802555, 2202858817115774000], 'label': '2048.cqm.512._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.D', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427004
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [6422263352438607, 2202858817115774000], 'label': '2048.cqm.512._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.E', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427005
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [19709062341273, 2202858817115774000], 'label': '2048.cqm.512._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.F', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427006
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 27475552499010030, 2202858817115774000, 857420946617059946, 95013810648341670, 6632332767393, 6402554290097334], 'label': '2048.cqm.4._.FW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.FW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.FW', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427007
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [2202858817115774000, 6402554290097334], 'label': '2048.cqm.512._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.G', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427008
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 2202858817115774000], 'label': '2048.cqm.512._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.H', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427009
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [2202858817115774000, 1993047639306181008], 'label': '2048.cqm.512._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.I', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427010
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [2202858817115774000], 'label': '2048.cqm.1024._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1024.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1024._.A', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427011
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [19709062341273], 'label': '2048.cqm.1024._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1024.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1024._.B', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427012
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [2202875904598688512], 'label': '2048.cqm.1024._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1024.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1024._.C', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427013
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': '2048.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [], 'label': '2048.cqm.2048.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2048.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2048.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427014
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 27475552499010030, 2202858817115774000, 857420946617059946, 95119763805605190, 6632332767393, 6402554290097334], 'label': '2048.cqm.4._.FX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.FX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.FX', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427015
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27475552499010030, 6402554290097334, 857420946617059946, 6632332767393, 19709062341273, 2202858817115774000, 27496500075031680], 'label': '2048.cqm.4._.FY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.FY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.FY', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427016
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 27432399120806406, 1980598492144166904, 27475552499010030, 6402554290097334, 857420946617059946, 2202858817115774000, 95013810648341670, 27496500075031680], 'label': '2048.cqm.4._.FZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.FZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.FZ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427017
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 27449405176750719, 27475552499010030, 2202858817115774000, 857420946617059946, 95013810648341670, 27496500075031680, 6402554290097334], 'label': '2048.cqm.4._.GA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.GA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.GA', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427018
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 27432399120806406, 1980598492144166904, 872694139074127638, 27475552499010030, 6402554290097334, 6632332767393, 19709062341273, 952117781490112106, 2202858817115774000], 'label': '2048.cqm.2._.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.R', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2._.R', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427019
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [27432399120806406, 1412357423505517920, 1980598492144166904, 27475552499010030, 95030904350651437, 6402554290097334, 857420946617059946, 2202858817115774000, 27496500075031680], 'label': '2048.cqm.4._.GB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.GB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.GB', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427020
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27475552499010030, 95030904350651437, 27449405176750719, 6402554290097334, 857420946617059946, 2202858817115774000, 27496500075031680], 'label': '2048.cqm.4._.GC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.GC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.GC', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427021
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [27432399120806406, 1412357423505517920, 1980598492144166904, 27475552499010030, 6402554290097334, 27512198413390233, 857420946617059946, 2202858817115774000, 95013810648341670], 'label': '2048.cqm.4._.GD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.GD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.GD', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427022
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27475552499010030, 27449405176750719, 6402554290097334, 27512198413390233, 857420946617059946, 2202858817115774000, 95013810648341670], 'label': '2048.cqm.4._.GE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.GE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.GE', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427023
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [27432399120806406, 1412357423505517920, 1980598492144166904, 95030904350651437, 27475552499010030, 6402554290097334, 27512198413390233, 857420946617059946, 2202858817115774000], 'label': '2048.cqm.4._.GF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.GF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.GF', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427024
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27475552499010030, 95030904350651437, 27449405176750719, 6402554290097334, 27512198413390233, 857420946617059946, 2202858817115774000], 'label': '2048.cqm.4._.GG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.GG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.GG', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427025
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [27432399120806406, 1412357423505517920, 1980598492144166904, 27475552499010030, 6402554290097334, 857436732645006149, 2202858817115774000, 95013810648341670, 27496500075031680], 'label': '2048.cqm.4._.GH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.GH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.GH', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427026
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27475552499010030, 27449405176750719, 6402554290097334, 857436732645006149, 2202858817115774000, 95013810648341670, 27496500075031680], 'label': '2048.cqm.4._.GI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.GI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.GI', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427027
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [27432399120806406, 1412357423505517920, 1980598492144166904, 27475552499010030, 95030904350651437, 6402554290097334, 857436732645006149, 2202858817115774000, 27496500075031680], 'label': '2048.cqm.4._.GJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.GJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.GJ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427028
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27475552499010030, 95030904350651437, 27449405176750719, 6402554290097334, 857436732645006149, 2202858817115774000, 27496500075031680], 'label': '2048.cqm.4._.GK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.GK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.GK', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427029
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 27499115456835873, 1980598492144166904, 27475552499010030, 6402554290097334, 857426177329455146, 19709062341273, 95020355265755311, 27436328447544733, 2202858817115774000], 'label': '2048.cqm.2._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2._.A', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427030
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 952117781490112106, 27475552499010030, 2202858817115774000, 952054988251263650, 95013810648341670, 6632332767393, 6402554290097334], 'label': '2048.cqm.2._.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.S', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2._.S', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427031
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [27432399120806406, 1412357423505517920, 1980598492144166904, 27475552499010030, 6402554290097334, 27512198413390233, 857436732645006149, 2202858817115774000, 95013810648341670], 'label': '2048.cqm.4._.GL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.GL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.GL', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427032
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27475552499010030, 27449405176750719, 6402554290097334, 27512198413390233, 857436732645006149, 2202858817115774000, 95013810648341670], 'label': '2048.cqm.4._.GM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.GM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.GM', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427033
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [27432399120806406, 1412357423505517920, 1980598492144166904, 27475552499010030, 95030904350651437, 6402554290097334, 27512198413390233, 857436732645006149, 2202858817115774000], 'label': '2048.cqm.4._.GN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.GN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.GN', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427034
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27475552499010030, 95030904350651437, 27449405176750719, 6402554290097334, 27512198413390233, 857436732645006149, 2202858817115774000], 'label': '2048.cqm.4._.GO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.GO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.GO', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427035
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [27432399120806406, 1980598492144166904, 27475552499010030, 6402554290097334, 6632332767393, 19709062341273, 2202858817115774000, 95013810648341670, 27496500075031680], 'label': '2048.cqm.4._.GP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.GP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.GP', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427036
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1980598492144166904, 27475552499010030, 6402554290097334, 6632332767393, 19709062341273, 1445812795928976966, 2202858817115774000, 95013810648341670, 27496500075031680], 'label': '2048.cqm.4._.GQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.GQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.GQ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427037
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [27432399120806406, 1372519549628752130, 1980598492144166904, 27475552499010030, 6402554290097334, 6632332767393, 19709062341273, 1445518494390943200, 2202858817115774000], 'label': '2048.cqm.4._.GR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.GR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.GR', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427038
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1372519549628752130, 1980598492144166904, 27475552499010030, 6402554290097334, 6632332767393, 19709062341273, 1445518494390943200, 1445812795928976966, 2202858817115774000], 'label': '2048.cqm.4._.GS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.GS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.GS', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427039
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1412363961888284160, 27432399120806406, 1980598492144166904, 27475552499010030, 6402554290097334, 19709062341273, 1445518494390943200, 2202858817115774000, 95013810648341670], 'label': '2048.cqm.4._.GT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.GT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.GT', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427040
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1412363961888284160, 1980598492144166904, 27475552499010030, 6402554290097334, 19709062341273, 1445518494390943200, 1445812795928976966, 2202858817115774000, 95013810648341670], 'label': '2048.cqm.4._.GU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.GU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.GU', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427041
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 27432399120806406, 1980598492144166904, 27475552499010030, 6402554290097334, 6632332767393, 19709062341273, 952117781490112106, 2202858817115774000, 95013810648341670], 'label': '2048.cqm.2._.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.T', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2._.T', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427042
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1412363961888284160, 27432399120806406, 1372519549628752130, 1980598492144166904, 27475552499010030, 6402554290097334, 19709062341273, 2202858817115774000, 27496500075031680], 'label': '2048.cqm.4._.GV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.GV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.GV', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427043
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1412363961888284160, 1372519549628752130, 1980598492144166904, 27475552499010030, 6402554290097334, 19709062341273, 1445812795928976966, 2202858817115774000, 27496500075031680], 'label': '2048.cqm.4._.GW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.GW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.GW', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427044
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1980598492144166904, 872694139074127638, 27475552499010030, 952054988251263650, 1405954962621861654, 6632332767393, 19709062341273, 2202858817115774000, 27496500075031680], 'label': '2048.cqm.4._.GX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.GX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.GX', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427045
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [708722948040923330, 1980598492144166904, 872694139074127638, 27475552499010030, 1405954962621861654, 6632332767393, 19709062341273, 2202858817115774000, 27496500075031680], 'label': '2048.cqm.4._.GY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.GY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.GY', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427046
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 39945647237045814, 27475552499010030, 2202858817115774000, 952054988251263650, 6632332767393, 1405954962621861654, 629006318150496198], 'label': '2048.cqm.4._.GZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.GZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.GZ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427047
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 39945647237045814, 27475552499010030, 2202858817115774000, 708722948040923330, 6632332767393, 1405954962621861654, 629006318150496198], 'label': '2048.cqm.4._.HA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.HA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.HA', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427048
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 39945647237045814, 27475552499010030, 2202858817115774000, 952054988251263650, 872694139074127638, 1405954962621861654, 6409186622864727], 'label': '2048.cqm.4._.HB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.HB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.HB', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427049
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 39945647237045814, 27475552499010030, 2202858817115774000, 708722948040923330, 872694139074127638, 1405954962621861654, 6409186622864727], 'label': '2048.cqm.4._.HC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.HC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.HC', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427050
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1980598492144166904, 27475552499010030, 952054988251263650, 1405954962621861654, 6409186622864727, 19709062341273, 2202858817115774000, 629006318150496198, 27496500075031680], 'label': '2048.cqm.4._.HD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.HD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.HD', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427051
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [708722948040923330, 1980598492144166904, 27475552499010030, 1405954962621861654, 6409186622864727, 19709062341273, 2202858817115774000, 629006318150496198, 27496500075031680], 'label': '2048.cqm.4._.HE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.HE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.HE', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427052
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 872694139074127638, 27475552499010030, 952054988251263650, 6402554290097334, 6632332767393, 19709062341273, 2202858817115774000, 27496500075031680], 'label': '2048.cqm.2._.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.U', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2._.U', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427053
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 952117781490112106, 2202858817115774000, 1445770956979819950, 95013810648341670, 6632332767393, 27432399120806406, 6402554290097334], 'label': '2048.cqm.4._.HF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.HF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.HF', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427054
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 952117781490112106, 1445812795928976966, 2202858817115774000, 1445770956979819950, 95013810648341670, 6632332767393, 6402554290097334], 'label': '2048.cqm.4._.HG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.HG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.HG', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427055
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 1864266978076908048, 2202858817115774000, 1445770956979819950, 1372519549628752130, 6632332767393, 27432399120806406, 6402554290097334], 'label': '2048.cqm.4._.HH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.HH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.HH', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427056
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 1864266978076908048, 1445812795928976966, 2202858817115774000, 1445770956979819950, 1372519549628752130, 6632332767393, 6402554290097334], 'label': '2048.cqm.4._.HI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.HI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.HI', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427057
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 1864266978076908048, 2202858817115774000, 1445770956979819950, 95013810648341670, 1412363961888284160, 27432399120806406, 6402554290097334], 'label': '2048.cqm.4._.HJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.HJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.HJ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427058
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 1864266978076908048, 1445812795928976966, 2202858817115774000, 1445770956979819950, 95013810648341670, 1412363961888284160, 6402554290097334], 'label': '2048.cqm.4._.HK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.HK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.HK', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427059
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 952117781490112106, 2202858817115774000, 1445770956979819950, 1372519549628752130, 1412363961888284160, 27432399120806406, 6402554290097334], 'label': '2048.cqm.4._.HL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.HL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.HL', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427060
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 952117781490112106, 1445812795928976966, 2202858817115774000, 1445770956979819950, 1372519549628752130, 1412363961888284160, 6402554290097334], 'label': '2048.cqm.4._.HM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.HM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.HM', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427061
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 952117781490112106, 2202858817115774000, 952054988251263650, 1445770956979819950, 872694139074127638, 6632332767393, 1405954962621861654], 'label': '2048.cqm.4._.HN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.HN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.HN', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427062
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 952117781490112106, 2202858817115774000, 708722948040923330, 1445770956979819950, 872694139074127638, 6632332767393, 1405954962621861654], 'label': '2048.cqm.4._.HO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.HO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.HO', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427063
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [27432399120806406, 1412357423505517920, 1980598492144166904, 872694139074127638, 27475552499010030, 6402554290097334, 6632332767393, 19709062341273, 2202858817115774000, 27496500075031680], 'label': '2048.cqm.2._.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.V', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2._.V', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427064
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 2202858817115774000, 952054988251263650, 1445770956979819950, 6632332767393, 1405954962621861654, 629006318150496198, 708806657802767544], 'label': '2048.cqm.4._.HP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.HP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.HP', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427065
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 2202858817115774000, 708722948040923330, 1445770956979819950, 6632332767393, 1405954962621861654, 629006318150496198, 708806657802767544], 'label': '2048.cqm.4._.HQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.HQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.HQ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427066
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 2202858817115774000, 952054988251263650, 1445770956979819950, 872694139074127638, 1405954962621861654, 708806657802767544, 6409186622864727], 'label': '2048.cqm.4._.HR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.HR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.HR', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427067
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 2202858817115774000, 708722948040923330, 1445770956979819950, 872694139074127638, 1405954962621861654, 708806657802767544, 6409186622864727], 'label': '2048.cqm.4._.HS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.HS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.HS', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427068
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 952117781490112106, 2202858817115774000, 952054988251263650, 1445770956979819950, 1405954962621861654, 629006318150496198, 6409186622864727], 'label': '2048.cqm.4._.HT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.HT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.HT', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427069
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 952117781490112106, 2202858817115774000, 708722948040923330, 1445770956979819950, 1405954962621861654, 629006318150496198, 6409186622864727], 'label': '2048.cqm.4._.HU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.HU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.HU', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427070
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 2202858817115774000, 857420946617059946, 95013810648341670, 6632332767393, 27432399120806406, 6402554290097334], 'label': '2048.cqm.4._.HV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.HV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.HV', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427071
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 2202858817115774000, 857420946617059946, 95013810648341670, 6632332767393, 64163346428214, 6402554290097334], 'label': '2048.cqm.4._.HW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.HW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.HW', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427072
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 249256937241876782, 2202858817115774000, 73736723789692230, 6632332767393, 27432399120806406, 6402554290097334], 'label': '2048.cqm.4._.HX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.HX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.HX', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427073
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 249256937241876782, 2202858817115774000, 73736723789692230, 6632332767393, 64163346428214, 6402554290097334], 'label': '2048.cqm.4._.HY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.HY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.HY', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427074
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27475552499010030, 952054988251263650, 6402554290097334, 6632332767393, 19709062341273, 2202858817115774000, 95013810648341670, 27496500075031680], 'label': '2048.cqm.2._.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.W', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2._.W', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427075
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 249256937241876782, 2202858817115774000, 27478167880813957, 95013810648341670, 27432399120806406, 6402554290097334], 'label': '2048.cqm.4._.HZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.HZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.HZ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427076
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 249256937241876782, 2202858817115774000, 27478167880813957, 95013810648341670, 64163346428214, 6402554290097334], 'label': '2048.cqm.4._.IA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.IA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.IA', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427077
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [27432399120806406, 1412357423505517920, 73736723789692230, 1980598492144166904, 6402554290097334, 857420946617059946, 27478167880813957, 19709062341273, 2202858817115774000], 'label': '2048.cqm.4._.IB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.IB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.IB', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427078
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1412357423505517920, 73736723789692230, 1980598492144166904, 6402554290097334, 857420946617059946, 27478167880813957, 19709062341273, 2202858817115774000, 64163346428214], 'label': '2048.cqm.4._.IC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.IC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.IC', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427079
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 39924699659940486, 2202858817115774000, 857420946617059946, 106040900676486, 95119763805605190, 6632332767393], 'label': '2048.cqm.4._.ID', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.ID', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.ID', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427080
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 39924699659940486, 2202858817115774000, 857420946617059946, 6508588484706030, 95119763805605190, 6632332767393], 'label': '2048.cqm.4._.IE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.IE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.IE', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427081
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 6632332767393, 19709062341273, 106040900676486, 614088906406724664, 2202858817115774000, 39924699659940486, 107568643205724846], 'label': '2048.cqm.4._.IF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.IF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.IF', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427082
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 6632332767393, 19709062341273, 6508588484706030, 614088906406724664, 2202858817115774000, 39924699659940486, 107568643205724846], 'label': '2048.cqm.4._.IG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.IG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.IG', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427083
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 95119763805605190, 6409186622864727, 19709062341273, 106040900676486, 614088906406724664, 2202858817115774000, 39924699659940486], 'label': '2048.cqm.4._.IH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.IH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.IH', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427084
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 95119763805605190, 6409186622864727, 19709062341273, 6508588484706030, 614088906406724664, 2202858817115774000, 39924699659940486], 'label': '2048.cqm.4._.II', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.II', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.II', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427085
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [27432399120806406, 1412357423505517920, 1980598492144166904, 27475552499010030, 6402554290097334, 6632332767393, 19709062341273, 2202858817115774000, 95013810648341670, 27496500075031680], 'label': '2048.cqm.2._.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.X', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2._.X', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427086
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 857420946617059946, 6409186622864727, 19709062341273, 106040900676486, 2202858817115774000, 39924699659940486, 107568643205724846], 'label': '2048.cqm.4._.IJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.IJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.IJ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427087
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 857420946617059946, 6409186622864727, 19709062341273, 6508588484706030, 2202858817115774000, 39924699659940486, 107568643205724846], 'label': '2048.cqm.4._.IK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.IK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.IK', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427088
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [27432399120806406, 1980598492144166904, 27475552499010030, 6402554290097334, 857420946617059946, 6632332767393, 19709062341273, 2202858817115774000, 27496500075031680], 'label': '2048.cqm.4._.IL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.IL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.IL', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427089
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1980598492144166904, 27475552499010030, 6402554290097334, 857420946617059946, 6632332767393, 19709062341273, 1445812795928976966, 2202858817115774000, 27496500075031680], 'label': '2048.cqm.4._.IM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.IM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.IM', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427090
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1980598492144166904, 27475552499010030, 6402554290097334, 857420946617059946, 6632332767393, 19709062341273, 1445518494390943200, 1445812795928976966, 2202858817115774000], 'label': '2048.cqm.4._.IN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.IN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.IN', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427091
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [27432399120806406, 1980598492144166904, 27475552499010030, 6402554290097334, 857420946617059946, 6632332767393, 19709062341273, 1445518494390943200, 2202858817115774000], 'label': '2048.cqm.4._.IO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.IO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.IO', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427092
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1412363961888284160, 27432399120806406, 1980598492144166904, 27475552499010030, 6402554290097334, 19709062341273, 1897994240429445648, 2202858817115774000, 27496500075031680], 'label': '2048.cqm.4._.IP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.IP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.IP', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427093
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1412363961888284160, 1980598492144166904, 27475552499010030, 6402554290097334, 19709062341273, 1445812795928976966, 1897994240429445648, 2202858817115774000, 27496500075031680], 'label': '2048.cqm.4._.IQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.IQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.IQ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427094
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1412363961888284160, 1980598492144166904, 27475552499010030, 6402554290097334, 19709062341273, 1445518494390943200, 1445812795928976966, 1897994240429445648, 2202858817115774000], 'label': '2048.cqm.4._.IR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.IR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.IR', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427095
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1412363961888284160, 27432399120806406, 1980598492144166904, 27475552499010030, 6402554290097334, 19709062341273, 1445518494390943200, 1897994240429445648, 2202858817115774000], 'label': '2048.cqm.4._.IS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.IS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.IS', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427096
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 27475552499010030, 2202858817115774000, 857420946617059946, 106040900676486, 95119763805605190, 6632332767393, 6402554290097334], 'label': '2048.cqm.2._.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.Y', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2._.Y', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427097
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [27432399120806406, 1980598492144166904, 27475552499010030, 857420946617059946, 1405954962621861654, 6632332767393, 19709062341273, 2202858817115774000, 27496500075031680], 'label': '2048.cqm.4._.IT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.IT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.IT', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427098
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1980598492144166904, 27475552499010030, 39881546283178350, 857420946617059946, 1405954962621861654, 6632332767393, 19709062341273, 2202858817115774000, 27496500075031680], 'label': '2048.cqm.4._.IU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.IU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.IU', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427099
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1980598492144166904, 27475552499010030, 39881546283178350, 857420946617059946, 1405954962621861654, 6632332767393, 19709062341273, 39945647237045814, 2202858817115774000], 'label': '2048.cqm.4._.IV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.IV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.IV', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427100
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 39945647237045814, 27475552499010030, 2202858817115774000, 857420946617059946, 6632332767393, 1405954962621861654, 27432399120806406], 'label': '2048.cqm.4._.IW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.IW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.IW', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427101
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [27432399120806406, 1980598492144166904, 27475552499010030, 1405954962621861654, 6409186622864727, 19709062341273, 614088906406724664, 2202858817115774000, 27496500075031680], 'label': '2048.cqm.4._.IX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.IX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.IX', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427102
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1980598492144166904, 27475552499010030, 39881546283178350, 1405954962621861654, 6409186622864727, 19709062341273, 614088906406724664, 2202858817115774000, 27496500075031680], 'label': '2048.cqm.4._.IY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.IY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.IY', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427103
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 39945647237045814, 27475552499010030, 2202858817115774000, 39881546283178350, 1405954962621861654, 614088906406724664, 6409186622864727], 'label': '2048.cqm.4._.IZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.IZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.IZ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427104
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [27432399120806406, 1980598492144166904, 27475552499010030, 1405954962621861654, 6409186622864727, 19709062341273, 39945647237045814, 614088906406724664, 2202858817115774000], 'label': '2048.cqm.4._.JA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.JA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.JA', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427105
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 2202858817115774000, 857420946617059946, 1445770956979819950, 27496500075031680, 6632332767393, 27432399120806406, 6402554290097334], 'label': '2048.cqm.4._.JB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.JB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.JB', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427106
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 1445812795928976966, 2202858817115774000, 857420946617059946, 1445770956979819950, 27496500075031680, 6632332767393, 6402554290097334], 'label': '2048.cqm.4._.JC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.JC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.JC', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427107
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 27432399120806406, 1980598492144166904, 95119763805605190, 27475552499010030, 6402554290097334, 857420946617059946, 6632332767393, 19709062341273, 2202858817115774000], 'label': '2048.cqm.2._.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.Z', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2._.Z', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427108
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1445518494390943200, 1980598492144166904, 19709062341273, 1445812795928976966, 2202858817115774000, 857420946617059946, 1445770956979819950, 6632332767393, 6402554290097334], 'label': '2048.cqm.4._.JD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.JD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.JD', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427109
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1445518494390943200, 1980598492144166904, 19709062341273, 2202858817115774000, 857420946617059946, 1445770956979819950, 6632332767393, 27432399120806406, 6402554290097334], 'label': '2048.cqm.4._.JE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.JE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.JE', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427110
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 2202858817115774000, 1897994240429445648, 1445770956979819950, 27496500075031680, 1412363961888284160, 27432399120806406, 6402554290097334], 'label': '2048.cqm.4._.JF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.JF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.JF', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427111
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 1445812795928976966, 2202858817115774000, 1897994240429445648, 1445770956979819950, 27496500075031680, 1412363961888284160, 6402554290097334], 'label': '2048.cqm.4._.JG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.JG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.JG', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427112
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1445518494390943200, 1980598492144166904, 19709062341273, 1445812795928976966, 2202858817115774000, 1897994240429445648, 1445770956979819950, 1412363961888284160, 6402554290097334], 'label': '2048.cqm.4._.JH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.JH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.JH', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427113
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1445518494390943200, 1980598492144166904, 19709062341273, 2202858817115774000, 1897994240429445648, 1445770956979819950, 1412363961888284160, 27432399120806406, 6402554290097334], 'label': '2048.cqm.4._.JI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.JI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.JI', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427114
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 2202858817115774000, 857420946617059946, 1445770956979819950, 27496500075031680, 6632332767393, 1405954962621861654, 27432399120806406], 'label': '2048.cqm.4._.JJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.JJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.JJ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427115
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1980598492144166904, 39881546283178350, 857420946617059946, 1405954962621861654, 6632332767393, 19709062341273, 1445770956979819950, 2202858817115774000, 27496500075031680], 'label': '2048.cqm.4._.JK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.JK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.JK', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427116
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 39945647237045814, 2202858817115774000, 39881546283178350, 857420946617059946, 1445770956979819950, 6632332767393, 1405954962621861654], 'label': '2048.cqm.4._.JL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.JL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.JL', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427117
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 39945647237045814, 2202858817115774000, 857420946617059946, 1445770956979819950, 6632332767393, 1405954962621861654, 27432399120806406], 'label': '2048.cqm.4._.JM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.JM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.JM', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427118
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 27475552499010030, 2202858817115774000, 857420946617059946, 106040900676486, 95013810648341670, 6632332767393, 6402554290097334], 'label': '2048.cqm.2._.BA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.BA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2._.BA', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427119
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [27432399120806406, 1980598492144166904, 1405954962621861654, 6409186622864727, 19709062341273, 1445770956979819950, 614088906406724664, 2202858817115774000, 27496500075031680], 'label': '2048.cqm.4._.JN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.JN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.JN', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427120
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 2202858817115774000, 39881546283178350, 1445770956979819950, 27496500075031680, 1405954962621861654, 614088906406724664, 6409186622864727], 'label': '2048.cqm.4._.JO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.JO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.JO', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427121
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 39945647237045814, 2202858817115774000, 39881546283178350, 1445770956979819950, 1405954962621861654, 614088906406724664, 6409186622864727], 'label': '2048.cqm.4._.JP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.JP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.JP', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427122
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 39945647237045814, 2202858817115774000, 1445770956979819950, 1405954962621861654, 27432399120806406, 614088906406724664, 6409186622864727], 'label': '2048.cqm.4._.JQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.JQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.JQ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427123
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [27432399120806406, 1412357423505517920, 1980598492144166904, 6402554290097334, 857420946617059946, 6632332767393, 19709062341273, 2202858817115774000, 27496500075031680], 'label': '2048.cqm.4._.JR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.JR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.JR', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427124
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 6402554290097334, 857420946617059946, 6632332767393, 19709062341273, 2202858817115774000, 27496500075031680, 64163346428214], 'label': '2048.cqm.4._.JS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.JS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.JS', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427125
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1412357423505517920, 27432399120806406, 1980598492144166904, 249256937241876782, 6402554290097334, 6632332767393, 19709062341273, 2202858817115774000, 168796856936430], 'label': '2048.cqm.4._.JT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.JT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.JT', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427126
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 249256937241876782, 6402554290097334, 6632332767393, 19709062341273, 2202858817115774000, 64163346428214, 168796856936430], 'label': '2048.cqm.4._.JU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.JU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.JU', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427127
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 249256937241876782, 2202858817115774000, 27478167880813957, 27496500075031680, 27432399120806406, 6402554290097334], 'label': '2048.cqm.4._.JV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.JV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.JV', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427128
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 249256937241876782, 2202858817115774000, 27478167880813957, 27496500075031680, 64163346428214, 6402554290097334], 'label': '2048.cqm.4._.JW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.JW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.JW', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427129
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 27432399120806406, 1980598492144166904, 27475552499010030, 6402554290097334, 857420946617059946, 6632332767393, 19709062341273, 2202858817115774000, 95013810648341670], 'label': '2048.cqm.2._.BB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.BB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2._.BB', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427130
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [27432399120806406, 1412357423505517920, 1980598492144166904, 6402554290097334, 857420946617059946, 27478167880813957, 19709062341273, 2202858817115774000, 168796856936430], 'label': '2048.cqm.4._.JX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.JX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.JX', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427131
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 6402554290097334, 857420946617059946, 27478167880813957, 19709062341273, 2202858817115774000, 64163346428214, 168796856936430], 'label': '2048.cqm.4._.JY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.JY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.JY', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427132
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [27432399120806406, 1412357423505517920, 1980598492144166904, 857420946617059946, 6632332767393, 19709062341273, 2202858817115774000, 39924699659940486, 27496500075031680], 'label': '2048.cqm.4._.JZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.JZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.JZ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427133
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 39881546283178350, 857420946617059946, 6632332767393, 19709062341273, 2202858817115774000, 39924699659940486, 27496500075031680], 'label': '2048.cqm.4._.KA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.KA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.KA', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427134
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [27432399120806406, 1412357423505517920, 1980598492144166904, 6632332767393, 19709062341273, 39945647237045814, 614088906406724664, 2202858817115774000, 39924699659940486], 'label': '2048.cqm.4._.KB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.KB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.KB', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427135
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 39924699659940486, 39945647237045814, 2202858817115774000, 39881546283178350, 6632332767393, 614088906406724664], 'label': '2048.cqm.4._.KC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.KC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.KC', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427136
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [27432399120806406, 1412357423505517920, 1980598492144166904, 6409186622864727, 19709062341273, 614088906406724664, 2202858817115774000, 39924699659940486, 27496500075031680], 'label': '2048.cqm.4._.KD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.KD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.KD', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427137
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 39881546283178350, 6409186622864727, 19709062341273, 614088906406724664, 2202858817115774000, 39924699659940486, 27496500075031680], 'label': '2048.cqm.4._.KE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.KE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.KE', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427138
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [27432399120806406, 1412357423505517920, 1980598492144166904, 857420946617059946, 6409186622864727, 19709062341273, 39945647237045814, 2202858817115774000, 39924699659940486], 'label': '2048.cqm.4._.KF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.KF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.KF', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427139
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 39881546283178350, 857420946617059946, 6409186622864727, 19709062341273, 39945647237045814, 2202858817115774000, 39924699659940486], 'label': '2048.cqm.4._.KG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.KG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.KG', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427140
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [27432399120806406, 1412357423505517920, 27499115456835873, 1980598492144166904, 27475552499010030, 6402554290097334, 857426177329455146, 19709062341273, 95020355265755311, 2202858817115774000], 'label': '2048.cqm.2._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2._.B', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427141
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 73672654056506286, 1980598492144166904, 27475552499010030, 6402554290097334, 857420946617059946, 6632332767393, 19709062341273, 2202858817115774000, 27496500075031680], 'label': '2048.cqm.2._.BC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.BC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2._.BC', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427142
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1412357423505517920, 27432399120806406, 1980598492144166904, 27475552499010030, 857420946617059946, 6632332767393, 19709062341273, 2202858817115774000, 27496500075031680], 'label': '2048.cqm.4._.KH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.KH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.KH', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427143
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27475552499010030, 39881546283178350, 857420946617059946, 6632332767393, 19709062341273, 39945647237045814, 2202858817115774000], 'label': '2048.cqm.4._.KI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.KI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.KI', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427144
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1412357423505517920, 27432399120806406, 1980598492144166904, 27475552499010030, 6632332767393, 19709062341273, 39945647237045814, 614088906406724664, 2202858817115774000], 'label': '2048.cqm.4._.KJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.KJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.KJ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427145
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27475552499010030, 39881546283178350, 6632332767393, 19709062341273, 614088906406724664, 2202858817115774000, 27496500075031680], 'label': '2048.cqm.4._.KK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.KK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.KK', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427146
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [27432399120806406, 1412357423505517920, 1980598492144166904, 27475552499010030, 6409186622864727, 19709062341273, 614088906406724664, 2202858817115774000, 27496500075031680], 'label': '2048.cqm.4._.KL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.KL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.KL', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427147
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27475552499010030, 39881546283178350, 6409186622864727, 19709062341273, 39945647237045814, 614088906406724664, 2202858817115774000], 'label': '2048.cqm.4._.KM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.KM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.KM', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427148
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1412357423505517920, 27432399120806406, 1980598492144166904, 27475552499010030, 857420946617059946, 6409186622864727, 19709062341273, 39945647237045814, 2202858817115774000], 'label': '2048.cqm.4._.KN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.KN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.KN', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427149
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27475552499010030, 39881546283178350, 857420946617059946, 6409186622864727, 19709062341273, 2202858817115774000, 27496500075031680], 'label': '2048.cqm.4._.KO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.KO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.KO', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427150
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1412357423505517920, 73672654056506286, 1980598492144166904, 27475552499010030, 857420946617059946, 6632332767393, 19709062341273, 2202858817115774000, 27496500075031680], 'label': '2048.cqm.4._.KP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.KP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.KP', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427151
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 39945647237045814, 27475552499010030, 2202858817115774000, 857420946617059946, 6632332767393, 61223767950364230], 'label': '2048.cqm.4._.KQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.KQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.KQ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427152
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [27432399120806406, 1412357423505517920, 1980598492144166904, 27475552499010030, 6402554290097334, 857420946617059946, 6632332767393, 19709062341273, 2202858817115774000, 27496500075031680], 'label': '2048.cqm.2._.BD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.BD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2._.BD', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427153
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 39945647237045814, 27475552499010030, 2202858817115774000, 73672654056506286, 6632332767393, 614088906406724664], 'label': '2048.cqm.4._.KR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.KR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.KR', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427154
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27475552499010030, 6632332767393, 61223767950364230, 19709062341273, 614088906406724664, 2202858817115774000, 27496500075031680], 'label': '2048.cqm.4._.KS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.KS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.KS', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427155
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1412357423505517920, 73672654056506286, 1980598492144166904, 27475552499010030, 6409186622864727, 19709062341273, 614088906406724664, 2202858817115774000, 27496500075031680], 'label': '2048.cqm.4._.KT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.KT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.KT', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427156
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27475552499010030, 61223767950364230, 6409186622864727, 19709062341273, 39945647237045814, 614088906406724664, 2202858817115774000], 'label': '2048.cqm.4._.KU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.KU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.KU', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427157
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 39945647237045814, 27475552499010030, 2202858817115774000, 857420946617059946, 73672654056506286, 6409186622864727], 'label': '2048.cqm.4._.KV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.KV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.KV', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427158
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27475552499010030, 857420946617059946, 61223767950364230, 6409186622864727, 19709062341273, 2202858817115774000, 27496500075031680], 'label': '2048.cqm.4._.KW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.KW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.KW', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427159
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 952117781490112106, 2202858817115774000, 708722948040923330, 1445770956979819950, 1405954962621861654, 6409186622864727], 'label': '2048.cqm.8._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.A', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427160
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 2202858817115774000, 708722948040923330, 1445770956979819950, 1405954962621861654, 708806657802767544, 6409186622864727], 'label': '2048.cqm.8._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.B', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427161
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 2202858817115774000, 952054988251263650, 1445770956979819950, 1405954962621861654, 708806657802767544, 6409186622864727], 'label': '2048.cqm.8._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.C', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427162
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 2202858817115774000, 952054988251263650, 1445770956979819950, 6632332767393, 1405954962621861654, 708806657802767544], 'label': '2048.cqm.8._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.D', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427163
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27475552499010030, 6402554290097334, 857420946617059946, 6632332767393, 19709062341273, 2202858817115774000, 95013810648341670, 27496500075031680], 'label': '2048.cqm.2._.BE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.BE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2._.BE', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427164
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 2202858817115774000, 708722948040923330, 1445770956979819950, 6632332767393, 1405954962621861654, 708806657802767544], 'label': '2048.cqm.8._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.E', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427165
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 952117781490112106, 2202858817115774000, 708722948040923330, 1445770956979819950, 6632332767393, 1405954962621861654], 'label': '2048.cqm.8._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.F', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427166
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 952117781490112106, 2202858817115774000, 952054988251263650, 1445770956979819950, 6632332767393, 1405954962621861654], 'label': '2048.cqm.8._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.G', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427167
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 39924699659940486, 2202858817115774000, 857420946617059946, 106040900676486, 6409186622864727], 'label': '2048.cqm.8._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.H', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427168
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 39924699659940486, 2202858817115774000, 857420946617059946, 6508588484706030, 6409186622864727], 'label': '2048.cqm.8._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.I', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427169
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 6409186622864727, 19709062341273, 6508588484706030, 614088906406724664, 2202858817115774000, 39924699659940486], 'label': '2048.cqm.8._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.J', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427170
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 6409186622864727, 19709062341273, 106040900676486, 614088906406724664, 2202858817115774000, 39924699659940486], 'label': '2048.cqm.8._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.K', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427171
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 39924699659940486, 2202858817115774000, 106040900676486, 6632332767393, 614088906406724664], 'label': '2048.cqm.8._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.L', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427172
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 39924699659940486, 2202858817115774000, 6508588484706030, 6632332767393, 614088906406724664], 'label': '2048.cqm.8._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.M', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427173
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 39924699659940486, 2202858817115774000, 857420946617059946, 6508588484706030, 6632332767393], 'label': '2048.cqm.8._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.N', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427174
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 27432399120806406, 1980598492144166904, 27475552499010030, 6402554290097334, 19709062341273, 2202858817115774000, 95013810648341670, 27496500075031680], 'label': '2048.cqm.4._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.A', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427175
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 39924699659940486, 2202858817115774000, 857420946617059946, 106040900676486, 6632332767393], 'label': '2048.cqm.8._.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.O', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.O', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427176
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 27475552499010030, 2202858817115774000, 952054988251263650, 27496500075031680, 1405954962621861654, 6409186622864727], 'label': '2048.cqm.8._.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.P', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.P', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427177
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 27475552499010030, 2202858817115774000, 708722948040923330, 27496500075031680, 1405954962621861654, 6409186622864727], 'label': '2048.cqm.8._.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.Q', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.Q', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427178
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 39945647237045814, 27475552499010030, 2202858817115774000, 708722948040923330, 1405954962621861654, 6409186622864727], 'label': '2048.cqm.8._.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.R', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.R', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427179
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 39945647237045814, 27475552499010030, 2202858817115774000, 952054988251263650, 1405954962621861654, 6409186622864727], 'label': '2048.cqm.8._.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.S', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.S', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427180
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 39945647237045814, 27475552499010030, 2202858817115774000, 952054988251263650, 6632332767393, 1405954962621861654], 'label': '2048.cqm.8._.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.T', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.T', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427181
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 39945647237045814, 27475552499010030, 2202858817115774000, 708722948040923330, 6632332767393, 1405954962621861654], 'label': '2048.cqm.8._.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.U', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.U', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427182
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [708722948040923330, 1980598492144166904, 27475552499010030, 1405954962621861654, 6632332767393, 19709062341273, 2202858817115774000, 27496500075031680], 'label': '2048.cqm.8._.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.V', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.V', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427183
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 27475552499010030, 952054988251263650, 1405954962621861654, 6632332767393, 19709062341273, 2202858817115774000, 27496500075031680], 'label': '2048.cqm.8._.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.W', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.W', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427184
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 27475552499010030, 2202858817115774000, 857420946617059946, 27496500075031680, 6409186622864727], 'label': '2048.cqm.8._.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.X', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.X', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427185
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 27475552499010030, 2202858817115774000, 952054988251263650, 95013810648341670, 27496500075031680, 6402554290097334], 'label': '2048.cqm.4._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.B', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427186
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 39945647237045814, 27475552499010030, 2202858817115774000, 857420946617059946, 6409186622864727], 'label': '2048.cqm.8._.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.Y', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.Y', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427187
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27475552499010030, 6409186622864727, 19709062341273, 39945647237045814, 614088906406724664, 2202858817115774000], 'label': '2048.cqm.8._.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.Z', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.Z', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427188
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27475552499010030, 6409186622864727, 19709062341273, 614088906406724664, 2202858817115774000, 27496500075031680], 'label': '2048.cqm.8._.BA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BA', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427189
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27475552499010030, 6632332767393, 19709062341273, 614088906406724664, 2202858817115774000, 27496500075031680], 'label': '2048.cqm.8._.BB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BB', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427190
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 39945647237045814, 27475552499010030, 2202858817115774000, 6632332767393, 614088906406724664], 'label': '2048.cqm.8._.BC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BC', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427191
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 39945647237045814, 27475552499010030, 2202858817115774000, 857420946617059946, 6632332767393], 'label': '2048.cqm.8._.BD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BD', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427192
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27475552499010030, 857420946617059946, 6632332767393, 19709062341273, 2202858817115774000, 27496500075031680], 'label': '2048.cqm.8._.BE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BE', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427193
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 952069379426182637, 27475552499010030, 6402554290097334, 952132172669068229, 872709925102073863, 2202858817115774000], 'label': '2048.cqm.8._.BF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BF', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427194
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27475552499010030, 952054988251263650, 6402554290097334, 952132172669068229, 872709925102073863, 2202858817115774000], 'label': '2048.cqm.8._.BG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BG', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427195
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 872694139074127638, 952069379426182637, 27475552499010030, 6402554290097334, 952132172669068229, 2202858817115774000], 'label': '2048.cqm.8._.BH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BH', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427196
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27475552499010030, 6402554290097334, 19709062341273, 27436328447544733, 2202858817115774000, 95013810648341670, 27496500075031680], 'label': '2048.cqm.4._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.C', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427197
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 872694139074127638, 27475552499010030, 952054988251263650, 6402554290097334, 952132172669068229, 2202858817115774000], 'label': '2048.cqm.8._.BI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BI', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427198
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 952117781490112106, 952069379426182637, 27475552499010030, 2202858817115774000, 872709925102073863, 6402554290097334], 'label': '2048.cqm.8._.BJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BJ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427199
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 952117781490112106, 27475552499010030, 2202858817115774000, 952054988251263650, 872709925102073863, 6402554290097334], 'label': '2048.cqm.8._.BK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BK', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427200
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 952117781490112106, 952069379426182637, 27475552499010030, 2202858817115774000, 872694139074127638, 6402554290097334], 'label': '2048.cqm.8._.BL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BL', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427201
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 952117781490112106, 27475552499010030, 2202858817115774000, 952054988251263650, 872694139074127638, 6402554290097334], 'label': '2048.cqm.8._.BM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BM', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427202
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [124442244695679, 1412357423505517920, 1980598492144166904, 27475552499010030, 6402554290097334, 95135549833138743, 857436732645006149, 2202858817115774000], 'label': '2048.cqm.8._.BN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BN', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427203
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27475552499010030, 6402554290097334, 95135549833138743, 857436732645006149, 106040900676486, 2202858817115774000], 'label': '2048.cqm.8._.BO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BO', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427204
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [124442244695679, 1412357423505517920, 1980598492144166904, 95119763805605190, 27475552499010030, 6402554290097334, 857436732645006149, 2202858817115774000], 'label': '2048.cqm.8._.BP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BP', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427205
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 95119763805605190, 27475552499010030, 6402554290097334, 857436732645006149, 106040900676486, 2202858817115774000], 'label': '2048.cqm.8._.BQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BQ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427206
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 124442244695679, 1980598492144166904, 27475552499010030, 6402554290097334, 857420946617059946, 95135549833138743, 2202858817115774000], 'label': '2048.cqm.8._.BR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BR', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427207
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 952060218963295850, 1980598492144166904, 27475552499010030, 6402554290097334, 19709062341273, 2202858817115774000, 95013810648341670, 27496500075031680], 'label': '2048.cqm.4._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.D', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427208
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 27475552499010030, 2202858817115774000, 857420946617059946, 106040900676486, 95135549833138743, 6402554290097334], 'label': '2048.cqm.8._.BS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BS', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427209
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 124442244695679, 1980598492144166904, 95119763805605190, 27475552499010030, 6402554290097334, 857420946617059946, 2202858817115774000], 'label': '2048.cqm.8._.BT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BT', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427210
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 27475552499010030, 2202858817115774000, 857420946617059946, 106040900676486, 95119763805605190, 6402554290097334], 'label': '2048.cqm.8._.BU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BU', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427211
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 952069379426182637, 95030904350651437, 27475552499010030, 6402554290097334, 952132172669068229, 2202858817115774000], 'label': '2048.cqm.8._.BV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BV', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427212
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27475552499010030, 95030904350651437, 952054988251263650, 6402554290097334, 952132172669068229, 2202858817115774000], 'label': '2048.cqm.8._.BW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BW', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427213
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 952069379426182637, 27475552499010030, 6402554290097334, 952132172669068229, 2202858817115774000, 95013810648341670], 'label': '2048.cqm.8._.BX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BX', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427214
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27475552499010030, 952054988251263650, 6402554290097334, 952132172669068229, 2202858817115774000, 95013810648341670], 'label': '2048.cqm.8._.BY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BY', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427215
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 952117781490112106, 952069379426182637, 27475552499010030, 2202858817115774000, 95030904350651437, 6402554290097334], 'label': '2048.cqm.8._.BZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BZ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427216
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 952117781490112106, 27475552499010030, 2202858817115774000, 95030904350651437, 952054988251263650, 6402554290097334], 'label': '2048.cqm.8._.CA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CA', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427217
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 952117781490112106, 952069379426182637, 27475552499010030, 2202858817115774000, 95013810648341670, 6402554290097334], 'label': '2048.cqm.8._.CB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CB', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427218
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 27432399120806406, 1980598492144166904, 872694139074127638, 27475552499010030, 6402554290097334, 19709062341273, 2202858817115774000, 27496500075031680], 'label': '2048.cqm.4._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.E', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427219
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 952117781490112106, 27475552499010030, 2202858817115774000, 952054988251263650, 95013810648341670, 6402554290097334], 'label': '2048.cqm.8._.CC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CC', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427220
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [124442244695679, 1412357423505517920, 1980598492144166904, 27475552499010030, 95030904350651437, 6402554290097334, 857436732645006149, 2202858817115774000], 'label': '2048.cqm.8._.CD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CD', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427221
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27475552499010030, 95030904350651437, 6402554290097334, 857436732645006149, 106040900676486, 2202858817115774000], 'label': '2048.cqm.8._.CE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CE', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427222
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [124442244695679, 1412357423505517920, 1980598492144166904, 27475552499010030, 6402554290097334, 857436732645006149, 2202858817115774000, 95013810648341670], 'label': '2048.cqm.8._.CF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CF', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427223
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27475552499010030, 6402554290097334, 857436732645006149, 106040900676486, 2202858817115774000, 95013810648341670], 'label': '2048.cqm.8._.CG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CG', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427224
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [124442244695679, 1412357423505517920, 1980598492144166904, 27475552499010030, 95030904350651437, 6402554290097334, 857420946617059946, 2202858817115774000], 'label': '2048.cqm.8._.CH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CH', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427225
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27475552499010030, 95030904350651437, 6402554290097334, 857420946617059946, 106040900676486, 2202858817115774000], 'label': '2048.cqm.8._.CI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CI', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427226
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 124442244695679, 1980598492144166904, 27475552499010030, 6402554290097334, 857420946617059946, 2202858817115774000, 95013810648341670], 'label': '2048.cqm.8._.CJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CJ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427227
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 27475552499010030, 2202858817115774000, 857420946617059946, 106040900676486, 95013810648341670, 6402554290097334], 'label': '2048.cqm.8._.CK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CK', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427228
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 952069379426182637, 27475552499010030, 2202858817115774000, 27512198413390233, 872709925102073863, 6402554290097334], 'label': '2048.cqm.8._.CL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CL', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427229
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 27475552499010030, 2202858817115774000, 952054988251263650, 872694139074127638, 27496500075031680, 6402554290097334], 'label': '2048.cqm.4._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.F', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427230
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 27475552499010030, 2202858817115774000, 27512198413390233, 952054988251263650, 872709925102073863, 6402554290097334], 'label': '2048.cqm.8._.CM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CM', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427231
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 952069379426182637, 27475552499010030, 2202858817115774000, 27512198413390233, 872694139074127638, 6402554290097334], 'label': '2048.cqm.8._.CN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CN', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427232
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 27475552499010030, 2202858817115774000, 27512198413390233, 952054988251263650, 872694139074127638, 6402554290097334], 'label': '2048.cqm.8._.CO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CO', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427233
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 952069379426182637, 27475552499010030, 2202858817115774000, 872709925102073863, 27496500075031680, 6402554290097334], 'label': '2048.cqm.8._.CP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CP', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427234
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 27475552499010030, 2202858817115774000, 952054988251263650, 872709925102073863, 27496500075031680, 6402554290097334], 'label': '2048.cqm.8._.CQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CQ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427235
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 952069379426182637, 27475552499010030, 2202858817115774000, 872694139074127638, 27496500075031680, 6402554290097334], 'label': '2048.cqm.8._.CR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CR', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427236
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 27475552499010030, 2202858817115774000, 952054988251263650, 872694139074127638, 27496500075031680, 6402554290097334], 'label': '2048.cqm.8._.CS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CS', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427237
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27475552499010030, 6402554290097334, 27512198413390233, 73689747758448159, 857436732645006149, 2202858817115774000], 'label': '2048.cqm.8._.CT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CT', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427238
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 73672654056506286, 1980598492144166904, 27475552499010030, 6402554290097334, 27512198413390233, 857436732645006149, 2202858817115774000], 'label': '2048.cqm.8._.CU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CU', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427239
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27475552499010030, 6402554290097334, 73689747758448159, 857436732645006149, 2202858817115774000, 27496500075031680], 'label': '2048.cqm.8._.CV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CV', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427240
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 872694139074127638, 27475552499010030, 6402554290097334, 19709062341273, 27436328447544733, 2202858817115774000, 27496500075031680], 'label': '2048.cqm.4._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.G', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427241
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 73672654056506286, 1980598492144166904, 27475552499010030, 6402554290097334, 857436732645006149, 2202858817115774000, 27496500075031680], 'label': '2048.cqm.8._.CW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CW', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427242
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27475552499010030, 6402554290097334, 27512198413390233, 857420946617059946, 73689747758448159, 2202858817115774000], 'label': '2048.cqm.8._.CX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CX', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427243
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 73672654056506286, 1980598492144166904, 27475552499010030, 6402554290097334, 27512198413390233, 857420946617059946, 2202858817115774000], 'label': '2048.cqm.8._.CY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CY', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427244
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27475552499010030, 6402554290097334, 857420946617059946, 73689747758448159, 2202858817115774000, 27496500075031680], 'label': '2048.cqm.8._.CZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CZ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427245
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 27475552499010030, 2202858817115774000, 857420946617059946, 73672654056506286, 27496500075031680, 6402554290097334], 'label': '2048.cqm.8._.DA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.DA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.DA', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427246
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 952069379426182637, 95030904350651437, 27475552499010030, 6402554290097334, 27512198413390233, 2202858817115774000], 'label': '2048.cqm.8._.DB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.DB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.DB', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427247
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27475552499010030, 95030904350651437, 952054988251263650, 6402554290097334, 27512198413390233, 2202858817115774000], 'label': '2048.cqm.8._.DC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.DC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.DC', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427248
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 952069379426182637, 27475552499010030, 2202858817115774000, 27512198413390233, 95013810648341670, 6402554290097334], 'label': '2048.cqm.8._.DD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.DD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.DD', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427249
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 27475552499010030, 2202858817115774000, 27512198413390233, 952054988251263650, 95013810648341670, 6402554290097334], 'label': '2048.cqm.8._.DE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.DE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.DE', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427250
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 952069379426182637, 27475552499010030, 2202858817115774000, 95030904350651437, 27496500075031680, 6402554290097334], 'label': '2048.cqm.8._.DF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.DF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.DF', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427251
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 27499115456835873, 1980598492144166904, 27475552499010030, 6402554290097334, 857426177329455146, 19709062341273, 27436328447544733, 2202858817115774000, 95013810648341670], 'label': '2048.cqm.2._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2._.C', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427252
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 952060218963295850, 1980598492144166904, 872694139074127638, 27475552499010030, 6402554290097334, 19709062341273, 2202858817115774000, 27496500075031680], 'label': '2048.cqm.4._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.H', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427253
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 27475552499010030, 2202858817115774000, 95030904350651437, 952054988251263650, 27496500075031680, 6402554290097334], 'label': '2048.cqm.8._.DG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.DG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.DG', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427254
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 952069379426182637, 27475552499010030, 2202858817115774000, 95013810648341670, 27496500075031680, 6402554290097334], 'label': '2048.cqm.8._.DH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.DH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.DH', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427255
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 27475552499010030, 2202858817115774000, 952054988251263650, 95013810648341670, 27496500075031680, 6402554290097334], 'label': '2048.cqm.8._.DI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.DI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.DI', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427256
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27475552499010030, 95030904350651437, 6402554290097334, 27512198413390233, 857436732645006149, 2202858817115774000], 'label': '2048.cqm.8._.DJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.DJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.DJ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427257
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27475552499010030, 6402554290097334, 27512198413390233, 857436732645006149, 2202858817115774000, 95013810648341670], 'label': '2048.cqm.8._.DK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.DK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.DK', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427258
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27475552499010030, 95030904350651437, 6402554290097334, 857436732645006149, 2202858817115774000, 27496500075031680], 'label': '2048.cqm.8._.DL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.DL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.DL', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427259
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27475552499010030, 6402554290097334, 857436732645006149, 2202858817115774000, 95013810648341670, 27496500075031680], 'label': '2048.cqm.8._.DM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.DM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.DM', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427260
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27475552499010030, 95030904350651437, 6402554290097334, 27512198413390233, 857420946617059946, 2202858817115774000], 'label': '2048.cqm.8._.DN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.DN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.DN', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427261
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27475552499010030, 6402554290097334, 27512198413390233, 857420946617059946, 2202858817115774000, 95013810648341670], 'label': '2048.cqm.8._.DO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.DO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.DO', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427262
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27475552499010030, 95030904350651437, 6402554290097334, 857420946617059946, 2202858817115774000, 27496500075031680], 'label': '2048.cqm.8._.DP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.DP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.DP', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427263
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [27432399120806406, 1412357423505517920, 1980598492144166904, 27475552499010030, 6402554290097334, 19709062341273, 95020355265755311, 2202858817115774000, 27496500075031680], 'label': '2048.cqm.4._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.I', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427264
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 27475552499010030, 2202858817115774000, 857420946617059946, 95013810648341670, 27496500075031680, 6402554290097334], 'label': '2048.cqm.8._.DQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.DQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.DQ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427265
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 27475552499010030, 2202858817115774000, 952054988251263650, 95020355265755311, 6402554290097334], 'label': '2048.cqm.8._.DR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.DR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.DR', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427266
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 952117781490112106, 2202858817115774000, 1445770956979819950, 1412363961888284160, 27432399120806406, 6402554290097334], 'label': '2048.cqm.8._.DS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.DS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.DS', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427267
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 952117781490112106, 1445812795928976966, 2202858817115774000, 1445770956979819950, 1412363961888284160, 6402554290097334], 'label': '2048.cqm.8._.DT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.DT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.DT', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427268
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 1864266978076908048, 1445812795928976966, 2202858817115774000, 1445770956979819950, 1412363961888284160, 6402554290097334], 'label': '2048.cqm.8._.DU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.DU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.DU', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427269
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 1864266978076908048, 2202858817115774000, 1445770956979819950, 1412363961888284160, 27432399120806406, 6402554290097334], 'label': '2048.cqm.8._.DV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.DV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.DV', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427270
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 1864266978076908048, 2202858817115774000, 1445770956979819950, 6632332767393, 27432399120806406, 6402554290097334], 'label': '2048.cqm.8._.DW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.DW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.DW', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427271
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 1864266978076908048, 1445812795928976966, 2202858817115774000, 1445770956979819950, 6632332767393, 6402554290097334], 'label': '2048.cqm.8._.DX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.DX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.DX', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427272
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 952117781490112106, 1445812795928976966, 2202858817115774000, 1445770956979819950, 6632332767393, 6402554290097334], 'label': '2048.cqm.8._.DY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.DY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.DY', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427273
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 952117781490112106, 2202858817115774000, 1445770956979819950, 6632332767393, 27432399120806406, 6402554290097334], 'label': '2048.cqm.8._.DZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.DZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.DZ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427274
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27475552499010030, 952054988251263650, 6402554290097334, 19709062341273, 95020355265755311, 2202858817115774000, 27496500075031680], 'label': '2048.cqm.4._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.J', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427275
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [27432399120806406, 1412357423505517920, 1980598492144166904, 6402554290097334, 857420946617059946, 27478167880813957, 19709062341273, 2202858817115774000], 'label': '2048.cqm.8._.EA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.EA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.EA', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427276
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 6402554290097334, 857420946617059946, 27478167880813957, 19709062341273, 2202858817115774000, 64163346428214], 'label': '2048.cqm.8._.EB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.EB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.EB', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427277
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 249256937241876782, 2202858817115774000, 27478167880813957, 64163346428214, 6402554290097334], 'label': '2048.cqm.8._.EC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.EC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.EC', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427278
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 249256937241876782, 2202858817115774000, 27478167880813957, 27432399120806406, 6402554290097334], 'label': '2048.cqm.8._.ED', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.ED', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.ED', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427279
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 249256937241876782, 2202858817115774000, 6632332767393, 27432399120806406, 6402554290097334], 'label': '2048.cqm.8._.EE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.EE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.EE', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427280
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 249256937241876782, 2202858817115774000, 6632332767393, 64163346428214, 6402554290097334], 'label': '2048.cqm.8._.EF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.EF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.EF', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427281
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 2202858817115774000, 857420946617059946, 6632332767393, 64163346428214, 6402554290097334], 'label': '2048.cqm.8._.EG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.EG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.EG', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427282
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 2202858817115774000, 857420946617059946, 6632332767393, 27432399120806406, 6402554290097334], 'label': '2048.cqm.8._.EH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.EH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.EH', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427283
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412363961888284160, 27432399120806406, 1980598492144166904, 27475552499010030, 6402554290097334, 19709062341273, 2202858817115774000, 27496500075031680], 'label': '2048.cqm.8._.EI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.EI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.EI', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427284
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412363961888284160, 1980598492144166904, 27475552499010030, 6402554290097334, 19709062341273, 1445812795928976966, 2202858817115774000, 27496500075031680], 'label': '2048.cqm.8._.EJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.EJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.EJ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427285
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27475552499010030, 6402554290097334, 19709062341273, 95020355265755311, 27436328447544733, 2202858817115774000, 27496500075031680], 'label': '2048.cqm.4._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.K', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427286
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412363961888284160, 1980598492144166904, 27475552499010030, 6402554290097334, 19709062341273, 1445518494390943200, 1445812795928976966, 2202858817115774000], 'label': '2048.cqm.8._.EK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.EK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.EK', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427287
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412363961888284160, 27432399120806406, 1980598492144166904, 27475552499010030, 6402554290097334, 19709062341273, 1445518494390943200, 2202858817115774000], 'label': '2048.cqm.8._.EL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.EL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.EL', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427288
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [27432399120806406, 1980598492144166904, 27475552499010030, 6402554290097334, 6632332767393, 19709062341273, 1445518494390943200, 2202858817115774000], 'label': '2048.cqm.8._.EM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.EM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.EM', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427289
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 27475552499010030, 6402554290097334, 6632332767393, 19709062341273, 1445518494390943200, 1445812795928976966, 2202858817115774000], 'label': '2048.cqm.8._.EN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.EN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.EN', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427290
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 27475552499010030, 6402554290097334, 6632332767393, 19709062341273, 1445812795928976966, 2202858817115774000, 27496500075031680], 'label': '2048.cqm.8._.EO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.EO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.EO', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427291
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [27432399120806406, 1980598492144166904, 27475552499010030, 6402554290097334, 6632332767393, 19709062341273, 2202858817115774000, 27496500075031680], 'label': '2048.cqm.8._.EP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.EP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.EP', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427292
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27475552499010030, 27449405176750719, 6402554290097334, 952132172669068229, 872709925102073863, 2202858817115774000], 'label': '2048.cqm.8._.EQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.EQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.EQ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427293
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [27432399120806406, 1412357423505517920, 1980598492144166904, 27475552499010030, 6402554290097334, 952132172669068229, 872709925102073863, 2202858817115774000], 'label': '2048.cqm.8._.ER', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.ER', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.ER', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427294
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 872694139074127638, 27475552499010030, 27449405176750719, 6402554290097334, 952132172669068229, 2202858817115774000], 'label': '2048.cqm.8._.ES', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.ES', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.ES', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427295
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [27432399120806406, 1412357423505517920, 1980598492144166904, 872694139074127638, 27475552499010030, 6402554290097334, 952132172669068229, 2202858817115774000], 'label': '2048.cqm.8._.ET', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.ET', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.ET', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427296
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 952060218963295850, 1980598492144166904, 27475552499010030, 6402554290097334, 19709062341273, 95020355265755311, 2202858817115774000, 27496500075031680], 'label': '2048.cqm.4._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.L', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427297
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 27449405176750719, 952117781490112106, 27475552499010030, 2202858817115774000, 872709925102073863, 6402554290097334], 'label': '2048.cqm.8._.EU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.EU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.EU', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427298
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 27432399120806406, 1980598492144166904, 27475552499010030, 6402554290097334, 952117781490112106, 872709925102073863, 2202858817115774000], 'label': '2048.cqm.8._.EV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.EV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.EV', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427299
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 27449405176750719, 952117781490112106, 27475552499010030, 2202858817115774000, 872694139074127638, 6402554290097334], 'label': '2048.cqm.8._.EW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.EW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.EW', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427300
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 27432399120806406, 1980598492144166904, 872694139074127638, 27475552499010030, 6402554290097334, 952117781490112106, 2202858817115774000], 'label': '2048.cqm.8._.EX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.EX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.EX', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427301
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27475552499010030, 27449405176750719, 6402554290097334, 95135549833138743, 857436732645006149, 2202858817115774000], 'label': '2048.cqm.8._.EY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.EY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.EY', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427302
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [27432399120806406, 1412357423505517920, 1980598492144166904, 27475552499010030, 6402554290097334, 95135549833138743, 857436732645006149, 2202858817115774000], 'label': '2048.cqm.8._.EZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.EZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.EZ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427303
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 95119763805605190, 27475552499010030, 27449405176750719, 6402554290097334, 857436732645006149, 2202858817115774000], 'label': '2048.cqm.8._.FA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.FA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.FA', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427304
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [27432399120806406, 1412357423505517920, 1980598492144166904, 95119763805605190, 27475552499010030, 6402554290097334, 857436732645006149, 2202858817115774000], 'label': '2048.cqm.8._.FB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.FB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.FB', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427305
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 27449405176750719, 27475552499010030, 2202858817115774000, 857420946617059946, 95135549833138743, 6402554290097334], 'label': '2048.cqm.8._.FC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.FC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.FC', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427306
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 27432399120806406, 1980598492144166904, 27475552499010030, 6402554290097334, 857420946617059946, 95135549833138743, 2202858817115774000], 'label': '2048.cqm.8._.FD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.FD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.FD', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427307
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 27432399120806406, 1980598492144166904, 27475552499010030, 6402554290097334, 872698062598414182, 19709062341273, 2202858817115774000, 27496500075031680], 'label': '2048.cqm.4._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.M', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427308
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 27449405176750719, 27475552499010030, 2202858817115774000, 857420946617059946, 95119763805605190, 6402554290097334], 'label': '2048.cqm.8._.FE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.FE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.FE', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427309
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 27432399120806406, 1980598492144166904, 95119763805605190, 27475552499010030, 6402554290097334, 857420946617059946, 2202858817115774000], 'label': '2048.cqm.8._.FF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.FF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.FF', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427310
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 27449405176750719, 27475552499010030, 2202858817115774000, 27512198413390233, 872709925102073863, 6402554290097334], 'label': '2048.cqm.8._.FG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.FG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.FG', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427311
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 27432399120806406, 1980598492144166904, 27475552499010030, 6402554290097334, 27512198413390233, 872709925102073863, 2202858817115774000], 'label': '2048.cqm.8._.FH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.FH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.FH', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427312
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 27449405176750719, 27475552499010030, 2202858817115774000, 27512198413390233, 872694139074127638, 6402554290097334], 'label': '2048.cqm.8._.FI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.FI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.FI', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427313
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 27432399120806406, 1980598492144166904, 872694139074127638, 27475552499010030, 6402554290097334, 27512198413390233, 2202858817115774000], 'label': '2048.cqm.8._.FJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.FJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.FJ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427314
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 27449405176750719, 27475552499010030, 2202858817115774000, 872709925102073863, 27496500075031680, 6402554290097334], 'label': '2048.cqm.8._.FK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.FK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.FK', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427315
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 27432399120806406, 1980598492144166904, 27475552499010030, 6402554290097334, 872709925102073863, 2202858817115774000, 27496500075031680], 'label': '2048.cqm.8._.FL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.FL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.FL', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427316
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 27449405176750719, 27475552499010030, 2202858817115774000, 872694139074127638, 27496500075031680, 6402554290097334], 'label': '2048.cqm.8._.FM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.FM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.FM', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427317
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 27432399120806406, 1980598492144166904, 872694139074127638, 27475552499010030, 6402554290097334, 2202858817115774000, 27496500075031680], 'label': '2048.cqm.8._.FN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.FN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.FN', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427318
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 27475552499010030, 2202858817115774000, 872698062598414182, 952054988251263650, 27496500075031680, 6402554290097334], 'label': '2048.cqm.4._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.N', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427319
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27475552499010030, 27449405176750719, 6402554290097334, 27512198413390233, 857436732645006149, 2202858817115774000], 'label': '2048.cqm.8._.FO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.FO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.FO', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427320
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [27432399120806406, 1412357423505517920, 1980598492144166904, 27475552499010030, 6402554290097334, 27512198413390233, 857436732645006149, 2202858817115774000], 'label': '2048.cqm.8._.FP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.FP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.FP', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427321
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27475552499010030, 27449405176750719, 6402554290097334, 857436732645006149, 2202858817115774000, 27496500075031680], 'label': '2048.cqm.8._.FQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.FQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.FQ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427322
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [27432399120806406, 1412357423505517920, 1980598492144166904, 27475552499010030, 6402554290097334, 857436732645006149, 2202858817115774000, 27496500075031680], 'label': '2048.cqm.8._.FR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.FR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.FR', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427323
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27475552499010030, 27449405176750719, 6402554290097334, 27512198413390233, 857420946617059946, 2202858817115774000], 'label': '2048.cqm.8._.FS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.FS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.FS', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427324
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [27432399120806406, 1412357423505517920, 1980598492144166904, 27475552499010030, 6402554290097334, 27512198413390233, 857420946617059946, 2202858817115774000], 'label': '2048.cqm.8._.FT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.FT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.FT', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427325
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 27449405176750719, 27475552499010030, 2202858817115774000, 857420946617059946, 27496500075031680, 6402554290097334], 'label': '2048.cqm.8._.FU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.FU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.FU', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427326
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 27432399120806406, 1980598492144166904, 27475552499010030, 6402554290097334, 857420946617059946, 2202858817115774000, 27496500075031680], 'label': '2048.cqm.8._.FV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.FV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.FV', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427327
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27475552499010030, 95030904350651437, 27449405176750719, 6402554290097334, 952132172669068229, 2202858817115774000], 'label': '2048.cqm.8._.FW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.FW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.FW', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427328
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [27432399120806406, 1412357423505517920, 1980598492144166904, 27475552499010030, 95030904350651437, 6402554290097334, 952132172669068229, 2202858817115774000], 'label': '2048.cqm.8._.FX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.FX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.FX', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427329
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27475552499010030, 6402554290097334, 872698062598414182, 19709062341273, 27436328447544733, 2202858817115774000, 27496500075031680], 'label': '2048.cqm.4._.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.O', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.O', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427330
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27475552499010030, 27449405176750719, 6402554290097334, 952132172669068229, 2202858817115774000, 95013810648341670], 'label': '2048.cqm.8._.FY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.FY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.FY', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427331
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [27432399120806406, 1412357423505517920, 1980598492144166904, 27475552499010030, 6402554290097334, 952132172669068229, 2202858817115774000, 95013810648341670], 'label': '2048.cqm.8._.FZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.FZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.FZ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427332
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 27449405176750719, 952117781490112106, 27475552499010030, 2202858817115774000, 95030904350651437, 6402554290097334], 'label': '2048.cqm.8._.GA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.GA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.GA', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427333
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 27432399120806406, 1980598492144166904, 27475552499010030, 95030904350651437, 6402554290097334, 952117781490112106, 2202858817115774000], 'label': '2048.cqm.8._.GB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.GB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.GB', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427334
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 27449405176750719, 952117781490112106, 27475552499010030, 2202858817115774000, 95013810648341670, 6402554290097334], 'label': '2048.cqm.8._.GC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.GC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.GC', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427335
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 27432399120806406, 1980598492144166904, 27475552499010030, 6402554290097334, 952117781490112106, 2202858817115774000, 95013810648341670], 'label': '2048.cqm.8._.GD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.GD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.GD', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427336
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27475552499010030, 95030904350651437, 27449405176750719, 6402554290097334, 857436732645006149, 2202858817115774000], 'label': '2048.cqm.8._.GE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.GE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.GE', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427337
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [27432399120806406, 1412357423505517920, 1980598492144166904, 27475552499010030, 95030904350651437, 6402554290097334, 857436732645006149, 2202858817115774000], 'label': '2048.cqm.8._.GF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.GF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.GF', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427338
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27475552499010030, 27449405176750719, 6402554290097334, 857436732645006149, 2202858817115774000, 95013810648341670], 'label': '2048.cqm.8._.GG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.GG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.GG', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427339
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [27432399120806406, 1412357423505517920, 1980598492144166904, 27475552499010030, 6402554290097334, 857436732645006149, 2202858817115774000, 95013810648341670], 'label': '2048.cqm.8._.GH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.GH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.GH', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427340
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 27475552499010030, 2202858817115774000, 872698062598414182, 952060218963295850, 27496500075031680, 6402554290097334], 'label': '2048.cqm.4._.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.P', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.P', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427341
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27475552499010030, 95030904350651437, 27449405176750719, 6402554290097334, 857420946617059946, 2202858817115774000], 'label': '2048.cqm.8._.GI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.GI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.GI', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427342
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [27432399120806406, 1412357423505517920, 1980598492144166904, 27475552499010030, 95030904350651437, 6402554290097334, 857420946617059946, 2202858817115774000], 'label': '2048.cqm.8._.GJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.GJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.GJ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427343
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 27449405176750719, 27475552499010030, 2202858817115774000, 857420946617059946, 95013810648341670, 6402554290097334], 'label': '2048.cqm.8._.GK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.GK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.GK', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427344
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 27432399120806406, 1980598492144166904, 27475552499010030, 6402554290097334, 857420946617059946, 2202858817115774000, 95013810648341670], 'label': '2048.cqm.8._.GL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.GL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.GL', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427345
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27475552499010030, 95030904350651437, 27449405176750719, 6402554290097334, 27512198413390233, 2202858817115774000], 'label': '2048.cqm.8._.GM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.GM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.GM', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427346
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [27432399120806406, 1412357423505517920, 1980598492144166904, 27475552499010030, 95030904350651437, 6402554290097334, 27512198413390233, 2202858817115774000], 'label': '2048.cqm.8._.GN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.GN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.GN', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427347
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 27449405176750719, 27475552499010030, 2202858817115774000, 27512198413390233, 95013810648341670, 6402554290097334], 'label': '2048.cqm.8._.GO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.GO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.GO', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427348
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 27432399120806406, 1980598492144166904, 27475552499010030, 6402554290097334, 27512198413390233, 2202858817115774000, 95013810648341670], 'label': '2048.cqm.8._.GP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.GP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.GP', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427349
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 27449405176750719, 27475552499010030, 2202858817115774000, 95030904350651437, 27496500075031680, 6402554290097334], 'label': '2048.cqm.8._.GQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.GQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.GQ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427350
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 27432399120806406, 1980598492144166904, 27475552499010030, 95030904350651437, 6402554290097334, 2202858817115774000, 27496500075031680], 'label': '2048.cqm.8._.GR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.GR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.GR', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427351
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 27432399120806406, 1980598492144166904, 27475552499010030, 6402554290097334, 19709062341273, 952117781490112106, 2202858817115774000, 95013810648341670], 'label': '2048.cqm.4._.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.Q', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.Q', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427352
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 27449405176750719, 27475552499010030, 2202858817115774000, 95013810648341670, 27496500075031680, 6402554290097334], 'label': '2048.cqm.8._.GS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.GS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.GS', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427353
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 27432399120806406, 1980598492144166904, 27475552499010030, 6402554290097334, 2202858817115774000, 95013810648341670, 27496500075031680], 'label': '2048.cqm.8._.GT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.GT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.GT', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427354
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 73783831265523607, 27475552499010030, 6402554290097334, 857426177329455146, 19709062341273, 2202858817115774000], 'label': '2048.cqm.8._.GU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.GU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.GU', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427355
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 27475552499010030, 2202858817115774000, 95124994561138351, 952060218963295850, 6402554290097334], 'label': '2048.cqm.8._.GV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.GV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.GV', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427356
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 872798777849528330, 27475552499010030, 2202858817115774000, 952060218963295850, 6402554290097334], 'label': '2048.cqm.8._.GW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.GW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.GW', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427357
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27475552499010030, 6402554290097334, 857426177329455146, 19709062341273, 2202858817115774000, 95124994561138351], 'label': '2048.cqm.8._.GX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.GX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.GX', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427358
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 111359288509213, 1980598492144166904, 27475552499010030, 6402554290097334, 872698062598414182, 19709062341273, 2202858817115774000], 'label': '2048.cqm.8._.GY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.GY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.GY', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427359
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27499115456835873, 27475552499010030, 6402554290097334, 918227012356645418, 19709062341273, 2202858817115774000], 'label': '2048.cqm.8._.GZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.GZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.GZ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427360
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 111359288509213, 1980598492144166904, 27475552499010030, 6402554290097334, 19709062341273, 872798777849528330, 2202858817115774000], 'label': '2048.cqm.8._.HA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.HA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.HA', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427361
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27499115456835873, 27475552499010030, 6402554290097334, 872698062598414182, 19709062341273, 2202858817115774000], 'label': '2048.cqm.8._.HB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.HB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.HB', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427362
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [27432399120806406, 1412357423505517920, 27499115456835873, 1980598492144166904, 27475552499010030, 6402554290097334, 857426177329455146, 19709062341273, 2202858817115774000, 95013810648341670], 'label': '2048.cqm.2._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2._.D', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427363
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 952117781490112106, 27475552499010030, 2202858817115774000, 952054988251263650, 95013810648341670, 6402554290097334], 'label': '2048.cqm.4._.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.R', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.R', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427364
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27475552499010030, 6402554290097334, 19709062341273, 2202858817115774000, 952123012202507306, 73679198673551767], 'label': '2048.cqm.8._.HC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.HC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.HC', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427365
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27475552499010030, 6402554290097334, 19709062341273, 857530910508834410, 95020355265755311, 2202858817115774000], 'label': '2048.cqm.8._.HD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.HD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.HD', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427366
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 872798777849528330, 27475552499010030, 2202858817115774000, 857530910508834410, 6402554290097334], 'label': '2048.cqm.8._.HE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.HE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.HE', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427367
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 27475552499010030, 2202858817115774000, 952123012202507306, 95020355265755311, 6402554290097334], 'label': '2048.cqm.8._.HF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.HF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.HF', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427368
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27475552499010030, 6402554290097334, 872802701373451852, 19709062341273, 27436328447544733, 2202858817115774000], 'label': '2048.cqm.8._.HG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.HG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.HG', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427369
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 918327727608869882, 1980598492144166904, 27475552499010030, 6402554290097334, 6632332767393, 19709062341273, 2202858817115774000], 'label': '2048.cqm.8._.HH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.HH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.HH', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427370
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27475552499010030, 6402554290097334, 19709062341273, 872798777849528330, 27436328447544733, 2202858817115774000], 'label': '2048.cqm.8._.HI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.HI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.HI', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427371
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 872798777849528330, 27475552499010030, 2202858817115774000, 6632332767393, 6402554290097334], 'label': '2048.cqm.8._.HJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.HJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.HJ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427372
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 857525679796802210, 27475552499010030, 2202858817115774000, 872698062598414182, 6402554290097334], 'label': '2048.cqm.8._.HK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.HK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.HK', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427373
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 952117781490112106, 27475552499010030, 2202858817115774000, 918227012356645418, 6402554290097334], 'label': '2048.cqm.8._.HL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.HL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.HL', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427374
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27475552499010030, 6402554290097334, 19709062341273, 952117781490112106, 27436328447544733, 2202858817115774000, 95013810648341670], 'label': '2048.cqm.4._.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.S', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.S', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427375
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 857525679796802210, 27475552499010030, 2202858817115774000, 95124994561138351, 6402554290097334], 'label': '2048.cqm.8._.HM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.HM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.HM', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427376
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 952117781490112106, 27475552499010030, 2202858817115774000, 872698062598414182, 6402554290097334], 'label': '2048.cqm.8._.HN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.HN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.HN', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427377
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 111359288509213, 1980598492144166904, 27475552499010030, 6402554290097334, 857426177329455146, 19709062341273, 2202858817115774000], 'label': '2048.cqm.8._.HO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.HO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.HO', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427378
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 27475552499010030, 2202858817115774000, 857420946617059946, 95020355265755311, 6402554290097334], 'label': '2048.cqm.8._.HP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.HP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.HP', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427379
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27475552499010030, 6402554290097334, 857426177329455146, 19709062341273, 27436328447544733, 2202858817115774000], 'label': '2048.cqm.8._.HQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.HQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.HQ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427380
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 27475552499010030, 2202858817115774000, 952123012202507306, 95013810648341670, 6402554290097334], 'label': '2048.cqm.8._.HR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.HR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.HR', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427381
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 872798777849528330, 27475552499010030, 2202858817115774000, 106040900676486, 6402554290097334], 'label': '2048.cqm.8._.HS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.HS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.HS', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427382
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 952117781490112106, 27475552499010030, 2202858817115774000, 952060218963295850, 6402554290097334], 'label': '2048.cqm.8._.HT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.HT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.HT', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427383
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 27475552499010030, 2202858817115774000, 872698062598414182, 952060218963295850, 6402554290097334], 'label': '2048.cqm.8._.HU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.HU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.HU', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427384
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 73672654056506286, 1980598492144166904, 27475552499010030, 6402554290097334, 857426177329455146, 19709062341273, 2202858817115774000], 'label': '2048.cqm.8._.HV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.HV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.HV', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427385
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 952060218963295850, 1980598492144166904, 27475552499010030, 6402554290097334, 19709062341273, 952117781490112106, 2202858817115774000, 95013810648341670], 'label': '2048.cqm.4._.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.T', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.T', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427386
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 27475552499010030, 2202858817115774000, 952054988251263650, 6632332767393, 6402554290097334], 'label': '2048.cqm.8._.HW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.HW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.HW', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427387
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 952117781490112106, 27475552499010030, 2202858817115774000, 872694139074127638, 6402554290097334], 'label': '2048.cqm.8._.HX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.HX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.HX', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427388
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 952060218963295850, 1980598492144166904, 27499115456835873, 27475552499010030, 6402554290097334, 19709062341273, 2202858817115774000], 'label': '2048.cqm.8._.HY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.HY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.HY', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427389
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 952060218963295850, 1980598492144166904, 27475552499010030, 6402554290097334, 19709062341273, 2202858817115774000, 95013810648341670], 'label': '2048.cqm.8._.HZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.HZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.HZ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427390
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27475552499010030, 6402554290097334, 857426177329455146, 19709062341273, 2202858817115774000, 95013810648341670], 'label': '2048.cqm.8._.IA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.IA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.IA', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427391
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27475552499010030, 6402554290097334, 19709062341273, 918223088832364034, 2202858817115774000, 27496500075031680], 'label': '2048.cqm.8._.IB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.IB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.IB', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427392
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 111359288509213, 1980598492144166904, 27475552499010030, 6402554290097334, 19709062341273, 2202858817115774000, 95124994561138351], 'label': '2048.cqm.8._.IC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.IC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.IC', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427393
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27499115456835873, 27475552499010030, 6402554290097334, 857426177329455146, 19709062341273, 2202858817115774000], 'label': '2048.cqm.8._.ID', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.ID', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.ID', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427394
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 872798777849528330, 27475552499010030, 2202858817115774000, 952054988251263650, 6402554290097334], 'label': '2048.cqm.8._.IE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.IE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.IE', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427395
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 73672654056506286, 1980598492144166904, 27499115456835873, 27475552499010030, 6402554290097334, 19709062341273, 2202858817115774000], 'label': '2048.cqm.8._.IF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.IF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.IF', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427396
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 27432399120806406, 1980598492144166904, 872694139074127638, 27475552499010030, 6402554290097334, 19709062341273, 952117781490112106, 2202858817115774000], 'label': '2048.cqm.4._.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.U', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.U', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427397
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 111359288509213, 1980598492144166904, 27475552499010030, 6402554290097334, 19709062341273, 2202858817115774000, 95013810648341670], 'label': '2048.cqm.8._.IG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.IG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.IG', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427398
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27499115456835873, 27475552499010030, 6402554290097334, 19709062341273, 2202858817115774000, 95013810648341670], 'label': '2048.cqm.8._.IH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.IH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.IH', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427399
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27475552499010030, 6402554290097334, 872802701373451852, 19709062341273, 857525679796802210, 2202858817115774000], 'label': '2048.cqm.8._.II', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.II', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.II', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427400
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27475552499010030, 6402554290097334, 19709062341273, 952117781490112106, 2202858817115774000, 73679198673551767], 'label': '2048.cqm.8._.IJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.IJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.IJ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427401
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 857525679796802210, 27475552499010030, 2202858817115774000, 95020355265755311, 6402554290097334], 'label': '2048.cqm.8._.IK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.IK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.IK', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427402
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 952117781490112106, 27475552499010030, 2202858817115774000, 95020355265755311, 6402554290097334], 'label': '2048.cqm.8._.IL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.IL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.IL', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427403
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27475552499010030, 6402554290097334, 19709062341273, 27436328447544733, 2202858817115774000, 952123012202507306], 'label': '2048.cqm.8._.IM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.IM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.IM', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427404
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 27475552499010030, 2202858817115774000, 106040900676486, 872694139074127638, 6402554290097334], 'label': '2048.cqm.8._.IN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.IN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.IN', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427405
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 73778600509622286, 27475552499010030, 2202858817115774000, 857420946617059946, 6402554290097334], 'label': '2048.cqm.8._.IO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.IO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.IO', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427406
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27475552499010030, 6402554290097334, 19709062341273, 95020355265755311, 27436328447544733, 2202858817115774000], 'label': '2048.cqm.8._.IP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.IP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.IP', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427407
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 952117781490112106, 27475552499010030, 2202858817115774000, 952054988251263650, 872694139074127638, 6402554290097334], 'label': '2048.cqm.4._.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.V', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.V', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427408
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 27475552499010030, 2202858817115774000, 73672654056506286, 6632332767393, 6402554290097334], 'label': '2048.cqm.8._.IQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.IQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.IQ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427409
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27475552499010030, 6402554290097334, 19709062341273, 952117781490112106, 27436328447544733, 2202858817115774000], 'label': '2048.cqm.8._.IR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.IR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.IR', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427410
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27475552499010030, 6402554290097334, 19709062341273, 27436328447544733, 2202858817115774000, 95013810648341670], 'label': '2048.cqm.8._.IS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.IS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.IS', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427411
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 27475552499010030, 2202858817115774000, 857420946617059946, 27496500075031680, 6402554290097334], 'label': '2048.cqm.8._.IT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.IT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.IT', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427412
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 27475552499010030, 2202858817115774000, 952054988251263650, 95119763805605190, 6402554290097334], 'label': '2048.cqm.8._.IU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.IU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.IU', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427413
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 27475552499010030, 2202858817115774000, 872694139074127638, 27496500075031680, 6402554290097334], 'label': '2048.cqm.8._.IV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.IV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.IV', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427414
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 857525679796802210, 27475552499010030, 2202858817115774000, 6632332767393, 6402554290097334], 'label': '2048.cqm.8._.IW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.IW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.IW', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427415
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 27475552499010030, 2202858817115774000, 95013810648341670, 6632332767393, 6402554290097334], 'label': '2048.cqm.8._.IX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.IX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.IX', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427416
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 857525679796802210, 872798777849528330, 27475552499010030, 2202858817115774000, 6402554290097334], 'label': '2048.cqm.8._.IY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.IY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.IY', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427417
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 27432399120806406, 1980598492144166904, 27475552499010030, 6402554290097334, 19709062341273, 95020355265755311, 2202858817115774000], 'label': '2048.cqm.8._.IZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.IZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.IZ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427418
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 872694139074127638, 27475552499010030, 6402554290097334, 19709062341273, 952117781490112106, 27436328447544733, 2202858817115774000], 'label': '2048.cqm.4._.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.W', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.W', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427419
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 27475552499010030, 2202858817115774000, 857420946617059946, 95119763805605190, 6402554290097334], 'label': '2048.cqm.8._.JA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.JA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.JA', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427420
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 27432399120806406, 1980598492144166904, 27475552499010030, 6402554290097334, 872698062598414182, 19709062341273, 2202858817115774000], 'label': '2048.cqm.8._.JB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.JB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.JB', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427421
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 952117781490112106, 27475552499010030, 2202858817115774000, 952054988251263650, 6402554290097334], 'label': '2048.cqm.8._.JC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.JC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.JC', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427422
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 27475552499010030, 2202858817115774000, 106040900676486, 95013810648341670, 6402554290097334], 'label': '2048.cqm.8._.JD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.JD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.JD', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427423
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 27475552499010030, 2202858817115774000, 952054988251263650, 95013810648341670, 6402554290097334], 'label': '2048.cqm.8._.JE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.JE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.JE', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427424
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 872802701373451852, 27475552499010030, 2202858817115774000, 106040900676486, 6402554290097334], 'label': '2048.cqm.8._.JF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.JF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.JF', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427425
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 27475552499010030, 2202858817115774000, 918227012356645418, 27496500075031680, 6402554290097334], 'label': '2048.cqm.8._.JG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.JG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.JG', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427426
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 27475552499010030, 2202858817115774000, 872698062598414182, 106040900676486, 6402554290097334], 'label': '2048.cqm.8._.JH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.JH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.JH', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427427
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27475552499010030, 6402554290097334, 857420946617059946, 19709062341273, 27436328447544733, 2202858817115774000], 'label': '2048.cqm.8._.JI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.JI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.JI', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427428
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 27475552499010030, 2202858817115774000, 872698062598414182, 27496500075031680, 6402554290097334], 'label': '2048.cqm.8._.JJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.JJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.JJ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427429
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 952060218963295850, 1980598492144166904, 872694139074127638, 27475552499010030, 6402554290097334, 19709062341273, 952117781490112106, 2202858817115774000], 'label': '2048.cqm.4._.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.X', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.X', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427430
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 27475552499010030, 2202858817115774000, 952123012202507306, 952060218963295850, 6402554290097334], 'label': '2048.cqm.8._.JK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.JK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.JK', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427431
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27475552499010030, 6402554290097334, 6632332767393, 19709062341273, 2202858817115774000, 27496500075031680], 'label': '2048.cqm.8._.JL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.JL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.JL', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427432
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 952117781490112106, 27475552499010030, 2202858817115774000, 73672654056506286, 6402554290097334], 'label': '2048.cqm.8._.JM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.JM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.JM', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427433
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 27475552499010030, 2202858817115774000, 857420946617059946, 6632332767393, 6402554290097334], 'label': '2048.cqm.8._.JN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.JN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.JN', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427434
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [27432399120806406, 1412357423505517920, 1980598492144166904, 27475552499010030, 6402554290097334, 857426177329455146, 19709062341273, 2202858817115774000], 'label': '2048.cqm.8._.JO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.JO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.JO', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427435
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 27432399120806406, 1980598492144166904, 27475552499010030, 6402554290097334, 6632332767393, 19709062341273, 2202858817115774000], 'label': '2048.cqm.8._.JP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.JP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.JP', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427436
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 27475552499010030, 2202858817115774000, 952060218963295850, 27496500075031680, 6402554290097334], 'label': '2048.cqm.8._.JQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.JQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.JQ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427437
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 27432399120806406, 1980598492144166904, 872694139074127638, 27475552499010030, 6402554290097334, 19709062341273, 2202858817115774000], 'label': '2048.cqm.8._.JR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.JR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.JR', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427438
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 27432399120806406, 1980598492144166904, 27475552499010030, 6402554290097334, 857420946617059946, 19709062341273, 2202858817115774000], 'label': '2048.cqm.8._.JS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.JS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.JS', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427439
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 857525679796802210, 27475552499010030, 2202858817115774000, 95013810648341670, 6402554290097334], 'label': '2048.cqm.8._.JT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.JT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.JT', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427440
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 27432399120806406, 1980598492144166904, 27475552499010030, 6402554290097334, 19709062341273, 952117781490112106, 95020355265755311, 2202858817115774000], 'label': '2048.cqm.4._.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.Y', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.Y', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427441
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 27475552499010030, 2202858817115774000, 857420946617059946, 95013810648341670, 6402554290097334], 'label': '2048.cqm.8._.JU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.JU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.JU', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427442
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27475552499010030, 6402554290097334, 857426177329455146, 19709062341273, 106040900676486, 2202858817115774000], 'label': '2048.cqm.8._.JV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.JV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.JV', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427443
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 27475552499010030, 2202858817115774000, 95013810648341670, 27496500075031680, 6402554290097334], 'label': '2048.cqm.8._.JW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.JW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.JW', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427444
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 27432399120806406, 1980598492144166904, 27475552499010030, 6402554290097334, 19709062341273, 952117781490112106, 2202858817115774000], 'label': '2048.cqm.8._.JX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.JX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.JX', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427445
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 27475552499010030, 2202858817115774000, 857420946617059946, 106040900676486, 6402554290097334], 'label': '2048.cqm.8._.JY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.JY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.JY', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427446
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 952117781490112106, 27475552499010030, 2202858817115774000, 6632332767393, 6402554290097334], 'label': '2048.cqm.8._.JZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.JZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.JZ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427447
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 27432399120806406, 1980598492144166904, 27475552499010030, 6402554290097334, 19709062341273, 2202858817115774000, 95124994561138351], 'label': '2048.cqm.8._.KA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.KA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.KA', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427448
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27475552499010030, 6402554290097334, 857426177329455146, 19709062341273, 2202858817115774000, 27496500075031680], 'label': '2048.cqm.8._.KB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.KB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.KB', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427449
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 952117781490112106, 27475552499010030, 2202858817115774000, 95013810648341670, 6402554290097334], 'label': '2048.cqm.8._.KC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.KC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.KC', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427450
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [27432399120806406, 1412357423505517920, 1980598492144166904, 27499115456835873, 27475552499010030, 6402554290097334, 19709062341273, 2202858817115774000], 'label': '2048.cqm.8._.KD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.KD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.KD', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427451
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 952117781490112106, 27475552499010030, 2202858817115774000, 952054988251263650, 95020355265755311, 6402554290097334], 'label': '2048.cqm.4._.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.Z', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.Z', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427452
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 27475552499010030, 2202858817115774000, 106040900676486, 95119763805605190, 6402554290097334], 'label': '2048.cqm.8._.KE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.KE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.KE', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427453
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 27432399120806406, 1980598492144166904, 27475552499010030, 6402554290097334, 19709062341273, 2202858817115774000, 95013810648341670], 'label': '2048.cqm.8._.KF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.KF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.KF', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427454
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27475552499010030, 6402554290097334, 19709062341273, 106040900676486, 2202858817115774000, 95124994561138351], 'label': '2048.cqm.8._.KG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.KG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.KG', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427455
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27475552499010030, 6402554290097334, 19709062341273, 2202858817115774000, 27496500075031680, 73679198673551767], 'label': '2048.cqm.8._.KH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.KH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.KH', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427456
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 27475552499010030, 2202858817115774000, 106040900676486, 95020355265755311, 6402554290097334], 'label': '2048.cqm.8._.KI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.KI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.KI', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427457
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27475552499010030, 6402554290097334, 19709062341273, 95020355265755311, 2202858817115774000, 27496500075031680], 'label': '2048.cqm.8._.KJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.KJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.KJ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427458
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27499115456835873, 27475552499010030, 6402554290097334, 19709062341273, 27436328447544733, 2202858817115774000], 'label': '2048.cqm.8._.KK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.KK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.KK', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427459
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 27432399120806406, 1980598492144166904, 27475552499010030, 6402554290097334, 872802701373451852, 19709062341273, 2202858817115774000], 'label': '2048.cqm.8._.KL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.KL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.KL', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427460
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 27475552499010030, 2202858817115774000, 952054988251263650, 872694139074127638, 6402554290097334], 'label': '2048.cqm.8._.KM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.KM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.KM', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427461
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 27432399120806406, 1980598492144166904, 27475552499010030, 6402554290097334, 19709062341273, 2202858817115774000, 952123012202507306], 'label': '2048.cqm.8._.KN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.KN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.KN', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427462
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27475552499010030, 6402554290097334, 19709062341273, 952117781490112106, 95020355265755311, 27436328447544733, 2202858817115774000], 'label': '2048.cqm.4._.BA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BA', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427463
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 27432399120806406, 1980598492144166904, 27475552499010030, 6402554290097334, 19709062341273, 872798777849528330, 2202858817115774000], 'label': '2048.cqm.8._.KO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.KO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.KO', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427464
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27475552499010030, 6402554290097334, 19709062341273, 27436328447544733, 2202858817115774000, 27496500075031680], 'label': '2048.cqm.8._.KP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.KP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.KP', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427465
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 27475552499010030, 2202858817115774000, 73672654056506286, 27496500075031680, 6402554290097334], 'label': '2048.cqm.8._.KQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.KQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.KQ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427466
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27475552499010030, 6402554290097334, 918227012356645418, 19709062341273, 2202858817115774000, 952123012202507306], 'label': '2048.cqm.8._.KR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.KR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.KR', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427467
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 27475552499010030, 2202858817115774000, 872698062598414182, 857530910508834410, 6402554290097334], 'label': '2048.cqm.8._.KS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.KS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.KS', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427468
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 27475552499010030, 2202858817115774000, 95119763805605190, 857530910508834410, 6402554290097334], 'label': '2048.cqm.8._.KT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.KT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.KT', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427469
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 27475552499010030, 2202858817115774000, 872698062598414182, 952123012202507306, 6402554290097334], 'label': '2048.cqm.8._.KU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.KU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.KU', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427470
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 872802701373451852, 27475552499010030, 2202858817115774000, 952060218963295850, 6402554290097334], 'label': '2048.cqm.8._.KV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.KV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.KV', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427471
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 73778600509622286, 1980598492144166904, 27475552499010030, 6402554290097334, 857426177329455146, 19709062341273, 2202858817115774000], 'label': '2048.cqm.8._.KW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.KW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.KW', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427472
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 952060218963295850, 1980598492144166904, 95119763805605190, 27475552499010030, 6402554290097334, 19709062341273, 2202858817115774000], 'label': '2048.cqm.8._.KX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.KX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.KX', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427473
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27475552499010030, 6402554290097334, 857426177329455146, 19709062341273, 95020355265755311, 27436328447544733, 2202858817115774000, 27496500075031680], 'label': '2048.cqm.2._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2._.E', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427474
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 952117781490112106, 27475552499010030, 2202858817115774000, 952060218963295850, 95020355265755311, 6402554290097334], 'label': '2048.cqm.4._.BB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BB', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427475
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 95119763805605190, 27475552499010030, 6402554290097334, 857426177329455146, 19709062341273, 2202858817115774000], 'label': '2048.cqm.8._.KY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.KY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.KY', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427476
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27499115456835873, 27475552499010030, 6402554290097334, 19709062341273, 2202858817115774000, 73679198673551767], 'label': '2048.cqm.8._.KZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.KZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.KZ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427477
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 111359288509213, 1980598492144166904, 27475552499010030, 6402554290097334, 19709062341273, 95020355265755311, 2202858817115774000], 'label': '2048.cqm.8._.LA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.LA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.LA', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427478
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 111359288509213, 1980598492144166904, 95119763805605190, 27475552499010030, 6402554290097334, 19709062341273, 2202858817115774000], 'label': '2048.cqm.8._.LB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.LB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.LB', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427479
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 27475552499010030, 2202858817115774000, 952123012202507306, 918223088832364034, 6402554290097334], 'label': '2048.cqm.8._.LC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.LC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.LC', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427480
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 27475552499010030, 2202858817115774000, 95124994561138351, 857530910508834410, 6402554290097334], 'label': '2048.cqm.8._.LD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.LD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.LD', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427481
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 27475552499010030, 2202858817115774000, 872694139074127638, 857530910508834410, 6402554290097334], 'label': '2048.cqm.8._.LE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.LE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.LE', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427482
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 27475552499010030, 2202858817115774000, 952123012202507306, 872694139074127638, 6402554290097334], 'label': '2048.cqm.8._.LF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.LF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.LF', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427483
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 111359288509213, 1980598492144166904, 27475552499010030, 6402554290097334, 872802701373451852, 19709062341273, 2202858817115774000], 'label': '2048.cqm.8._.LG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.LG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.LG', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427484
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27499115456835873, 27475552499010030, 6402554290097334, 19709062341273, 918223088832364034, 2202858817115774000], 'label': '2048.cqm.8._.LH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.LH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.LH', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427485
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 27432399120806406, 1980598492144166904, 27475552499010030, 6402554290097334, 872698062598414182, 19709062341273, 952117781490112106, 2202858817115774000], 'label': '2048.cqm.4._.BC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BC', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427486
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 111359288509213, 1980598492144166904, 872694139074127638, 27475552499010030, 6402554290097334, 19709062341273, 2202858817115774000], 'label': '2048.cqm.8._.LI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.LI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.LI', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427487
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 872694139074127638, 27499115456835873, 27475552499010030, 6402554290097334, 19709062341273, 2202858817115774000], 'label': '2048.cqm.8._.LJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.LJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.LJ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427488
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27475552499010030, 6402554290097334, 857426177329455146, 19709062341273, 2202858817115774000, 73679198673551767], 'label': '2048.cqm.8._.LK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.LK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.LK', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427489
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 27475552499010030, 2202858817115774000, 952060218963295850, 95020355265755311, 6402554290097334], 'label': '2048.cqm.8._.LL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.LL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.LL', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427490
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 952060218963295850, 1980598492144166904, 872694139074127638, 27475552499010030, 6402554290097334, 19709062341273, 2202858817115774000], 'label': '2048.cqm.8._.LM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.LM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.LM', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427491
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27475552499010030, 6402554290097334, 857426177329455146, 19709062341273, 95020355265755311, 2202858817115774000], 'label': '2048.cqm.8._.LN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.LN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.LN', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427492
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27475552499010030, 6402554290097334, 872698062598414182, 19709062341273, 27436328447544733, 2202858817115774000], 'label': '2048.cqm.8._.LO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.LO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.LO', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427493
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27475552499010030, 6402554290097334, 6632332767393, 19709062341273, 918223088832364034, 2202858817115774000], 'label': '2048.cqm.8._.LP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.LP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.LP', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427494
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 872694139074127638, 27475552499010030, 6402554290097334, 19709062341273, 27436328447544733, 2202858817115774000], 'label': '2048.cqm.8._.LQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.LQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.LQ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427495
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 27475552499010030, 2202858817115774000, 872694139074127638, 6632332767393, 6402554290097334], 'label': '2048.cqm.8._.LR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.LR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.LR', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427496
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 952117781490112106, 27475552499010030, 2202858817115774000, 872698062598414182, 952054988251263650, 6402554290097334], 'label': '2048.cqm.4._.BD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BD', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427497
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 872802701373451852, 27475552499010030, 2202858817115774000, 952054988251263650, 6402554290097334], 'label': '2048.cqm.8._.LS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.LS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.LS', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427498
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 27475552499010030, 2202858817115774000, 857420946617059946, 73783831265523607, 6402554290097334], 'label': '2048.cqm.8._.LT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.LT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.LT', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427499
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27475552499010030, 952054988251263650, 6402554290097334, 19709062341273, 2202858817115774000, 95124994561138351], 'label': '2048.cqm.8._.LU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.LU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.LU', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427500
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 27475552499010030, 2202858817115774000, 857420946617059946, 95124994561138351, 6402554290097334], 'label': '2048.cqm.8._.LV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.LV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.LV', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427501
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 27475552499010030, 2202858817115774000, 952054988251263650, 952123012202507306, 6402554290097334], 'label': '2048.cqm.8._.LW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.LW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.LW', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427502
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27499115456835873, 27475552499010030, 6402554290097334, 19709062341273, 95020355265755311, 2202858817115774000], 'label': '2048.cqm.8._.LX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.LX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.LX', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427503
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27475552499010030, 6402554290097334, 19709062341273, 27436328447544733, 2202858817115774000, 95124994561138351], 'label': '2048.cqm.8._.LY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.LY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.LY', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427504
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 73778600509622286, 27475552499010030, 2202858817115774000, 6632332767393, 6402554290097334], 'label': '2048.cqm.8._.LZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.LZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.LZ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427505
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 95119763805605190, 27475552499010030, 6402554290097334, 19709062341273, 27436328447544733, 2202858817115774000], 'label': '2048.cqm.8._.MA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.MA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.MA', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427506
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27499115456835873, 27475552499010030, 952054988251263650, 6402554290097334, 19709062341273, 2202858817115774000], 'label': '2048.cqm.8._.MB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.MB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.MB', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427507
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27475552499010030, 6402554290097334, 872698062598414182, 19709062341273, 952117781490112106, 27436328447544733, 2202858817115774000], 'label': '2048.cqm.4._.BE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BE', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427508
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 27475552499010030, 2202858817115774000, 95119763805605190, 6632332767393, 6402554290097334], 'label': '2048.cqm.8._.MC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.MC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.MC', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427509
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 952117781490112106, 27475552499010030, 2202858817115774000, 918223088832364034, 6402554290097334], 'label': '2048.cqm.8._.MD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.MD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.MD', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427510
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 27432399120806406, 1980598492144166904, 95119763805605190, 27475552499010030, 6402554290097334, 19709062341273, 2202858817115774000], 'label': '2048.cqm.8._.ME', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.ME', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.ME', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427511
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 27475552499010030, 2202858817115774000, 857420946617059946, 73672654056506286, 6402554290097334], 'label': '2048.cqm.8._.MF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.MF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.MF', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427512
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 111359288509213, 1980598492144166904, 27475552499010030, 6402554290097334, 857420946617059946, 19709062341273, 2202858817115774000], 'label': '2048.cqm.8._.MG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.MG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.MG', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427513
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 27432399120806406, 1980598492144166904, 27475552499010030, 6402554290097334, 19709062341273, 2202858817115774000, 27496500075031680], 'label': '2048.cqm.8._.MH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.MH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.MH', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427514
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 27475552499010030, 2202858817115774000, 106040900676486, 6632332767393, 6402554290097334], 'label': '2048.cqm.8._.MI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.MI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.MI', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427515
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 857525679796802210, 27475552499010030, 2202858817115774000, 872694139074127638, 6402554290097334], 'label': '2048.cqm.8._.MJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.MJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.MJ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427516
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 872802701373451852, 27475552499010030, 2202858817115774000, 857530910508834410, 6402554290097334], 'label': '2048.cqm.8._.MK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.MK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.MK', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427517
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27499115456835873, 27475552499010030, 6402554290097334, 857420946617059946, 19709062341273, 2202858817115774000], 'label': '2048.cqm.8._.ML', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.ML', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.ML', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427518
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 952117781490112106, 27475552499010030, 2202858817115774000, 872698062598414182, 952060218963295850, 6402554290097334], 'label': '2048.cqm.4._.BF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BF', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427519
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 73672654056506286, 1980598492144166904, 27475552499010030, 6402554290097334, 19709062341273, 2202858817115774000, 952123012202507306], 'label': '2048.cqm.8._.MM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.MM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.MM', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427520
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 27475552499010030, 2202858817115774000, 95013810648341670, 857530910508834410, 6402554290097334], 'label': '2048.cqm.8._.MN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.MN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.MN', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427521
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 27475552499010030, 2202858817115774000, 952054988251263650, 27496500075031680, 6402554290097334], 'label': '2048.cqm.8._.MO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.MO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.MO', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427522
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 857525679796802210, 27475552499010030, 2202858817115774000, 95119763805605190, 6402554290097334], 'label': '2048.cqm.8._.MP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.MP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.MP', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427523
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 27475552499010030, 2202858817115774000, 872698062598414182, 952054988251263650, 6402554290097334], 'label': '2048.cqm.8._.MQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.MQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.MQ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427524
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27475552499010030, 6402554290097334, 857420946617059946, 19709062341273, 2202858817115774000, 73679198673551767], 'label': '2048.cqm.8._.MR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.MR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.MR', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427525
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 952117781490112106, 2202858817115774000, 952054988251263650, 1445770956979819950, 1405954962621861654, 6409186622864727], 'label': '2048.cqm.8._.MS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.MS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.MS', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427526
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 111359288509213, 1980598492144166904, 19709062341273, 614094137119119864, 2202858817115774000, 39924699659940486], 'label': '2048.cqm.16._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.A', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427527
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 39924699659940486, 614094137119119864, 2202858817115774000, 6513906872538757], 'label': '2048.cqm.16._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.B', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427528
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 6513906872538757, 857426177329455146, 19709062341273, 2202858817115774000, 39924699659940486], 'label': '2048.cqm.16._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.C', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427529
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [27432399120806406, 1412357423505517920, 1980598492144166904, 27499115456835873, 27475552499010030, 6402554290097334, 19709062341273, 2202858817115774000, 95013810648341670], 'label': '2048.cqm.4._.BG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BG', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427530
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 111359288509213, 1980598492144166904, 857426177329455146, 19709062341273, 2202858817115774000, 39924699659940486], 'label': '2048.cqm.16._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.D', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427531
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 2202858817115774000, 1445770956979819950, 952060218963295850, 1405954962621861654, 708806657802767544], 'label': '2048.cqm.16._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.E', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427532
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 2202858817115774000, 708728178752955530, 1445770956979819950, 1405954962621861654, 708806657802767544], 'label': '2048.cqm.16._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.F', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427533
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 952117781490112106, 2202858817115774000, 708728178752955530, 1445770956979819950, 1405954962621861654], 'label': '2048.cqm.16._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.G', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427534
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 952117781490112106, 2202858817115774000, 1445770956979819950, 952060218963295850, 1405954962621861654], 'label': '2048.cqm.16._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.H', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427535
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 39948262618850007, 19709062341273, 27475552499010030, 2202858817115774000, 952060218963295850, 1405954962621861654], 'label': '2048.cqm.16._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.I', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427536
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 39948262618850007, 19709062341273, 27475552499010030, 2202858817115774000, 708728178752955530, 1405954962621861654], 'label': '2048.cqm.16._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.J', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427537
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 27499115456835873, 27475552499010030, 2202858817115774000, 708728178752955530, 1405954962621861654], 'label': '2048.cqm.16._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.K', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427538
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 27499115456835873, 27475552499010030, 2202858817115774000, 952060218963295850, 1405954962621861654], 'label': '2048.cqm.16._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.L', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427539
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27499115456835873, 27475552499010030, 19709062341273, 614094137119119864, 2202858817115774000], 'label': '2048.cqm.16._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.M', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427540
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27499115456835873, 27475552499010030, 952054988251263650, 6402554290097334, 19709062341273, 2202858817115774000, 95013810648341670], 'label': '2048.cqm.4._.BH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BH', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427541
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27475552499010030, 19709062341273, 39948262618850007, 614094137119119864, 2202858817115774000], 'label': '2048.cqm.16._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.N', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427542
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27475552499010030, 857426177329455146, 19709062341273, 39948262618850007, 2202858817115774000], 'label': '2048.cqm.16._.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.O', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.O', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427543
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27499115456835873, 27475552499010030, 857426177329455146, 19709062341273, 2202858817115774000], 'label': '2048.cqm.16._.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.P', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.P', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427544
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 27436328447544733, 1864270907835070393, 2202858817115774000, 1445770956979819950, 6402554290097334], 'label': '2048.cqm.16._.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.Q', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.Q', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427545
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1445819334312111366, 19709062341273, 1864270907835070393, 2202858817115774000, 1445770956979819950, 6402554290097334], 'label': '2048.cqm.16._.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.R', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.R', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427546
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1445819334312111366, 19709062341273, 2202858817115774000, 952123012202507306, 1445770956979819950, 6402554290097334], 'label': '2048.cqm.16._.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.S', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.S', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427547
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 27436328447544733, 2202858817115774000, 952123012202507306, 1445770956979819950, 6402554290097334], 'label': '2048.cqm.16._.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.T', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.T', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427548
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 1864266978076908048, 27436328447544733, 2202858817115774000, 1445770956979819950, 6402554290097334], 'label': '2048.cqm.16._.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.U', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.U', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427549
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1445819334312111366, 19709062341273, 1864266978076908048, 2202858817115774000, 1445770956979819950, 6402554290097334], 'label': '2048.cqm.16._.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.V', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.V', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427550
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1445819334312111366, 19709062341273, 952117781490112106, 2202858817115774000, 1445770956979819950, 6402554290097334], 'label': '2048.cqm.16._.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.W', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.W', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427551
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27499115456835873, 27475552499010030, 6402554290097334, 19709062341273, 27436328447544733, 2202858817115774000, 95013810648341670], 'label': '2048.cqm.4._.BI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BI', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427552
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 952117781490112106, 27436328447544733, 2202858817115774000, 1445770956979819950, 6402554290097334], 'label': '2048.cqm.16._.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.X', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.X', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427553
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 39924699659940486, 857525679796802210, 2202858817115774000, 6409186622864727], 'label': '2048.cqm.16._.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.Y', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.Y', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427554
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 6409186622864727, 19709062341273, 2202858817115774000, 39924699659940486, 614193546141273410], 'label': '2048.cqm.16._.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.Z', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.Z', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427555
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 6632332767393, 19709062341273, 2202858817115774000, 39924699659940486, 614193546141273410], 'label': '2048.cqm.16._.BA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BA', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427556
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 39924699659940486, 857525679796802210, 2202858817115774000, 6632332767393], 'label': '2048.cqm.16._.BB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BB', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427557
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 857525679796802210, 2202858817115774000, 1445770956979819950, 1412363961888284160, 6402554290097334], 'label': '2048.cqm.16._.BC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BC', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427558
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 2202858817115774000, 1898100268872813602, 1445770956979819950, 1412363961888284160, 6402554290097334], 'label': '2048.cqm.16._.BD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BD', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427559
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 2202858817115774000, 1898100268872813602, 1445770956979819950, 6632332767393, 6402554290097334], 'label': '2048.cqm.16._.BE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BE', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427560
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 857525679796802210, 2202858817115774000, 1445770956979819950, 6632332767393, 6402554290097334], 'label': '2048.cqm.16._.BF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BF', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427561
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 857525679796802210, 27475552499010030, 2202858817115774000, 1405954962621861654, 6409186622864727], 'label': '2048.cqm.16._.BG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BG', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427562
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 952060218963295850, 1980598492144166904, 27499115456835873, 27475552499010030, 6402554290097334, 19709062341273, 2202858817115774000, 95013810648341670], 'label': '2048.cqm.4._.BJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BJ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427563
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 614193546141273410, 19709062341273, 27475552499010030, 2202858817115774000, 1405954962621861654, 6409186622864727], 'label': '2048.cqm.16._.BH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BH', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427564
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 27475552499010030, 1405954962621861654, 6632332767393, 19709062341273, 2202858817115774000, 614193546141273410], 'label': '2048.cqm.16._.BI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BI', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427565
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 857525679796802210, 27475552499010030, 2202858817115774000, 6632332767393, 1405954962621861654], 'label': '2048.cqm.16._.BJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BJ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427566
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27499115456835873, 27475552499010030, 6402554290097334, 19709062341273, 2202858817115774000], 'label': '2048.cqm.16._.BK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BK', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427567
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 27475552499010030, 2202858817115774000, 857420946617059946, 27496500075031680, 6402554290097334], 'label': '2048.cqm.16._.BL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BL', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427568
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 27432399120806406, 1980598492144166904, 27475552499010030, 6402554290097334, 857420946617059946, 2202858817115774000], 'label': '2048.cqm.16._.BM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BM', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427569
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 952117781490112106, 27475552499010030, 2202858817115774000, 6402554290097334], 'label': '2048.cqm.16._.BN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BN', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427570
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 27475552499010030, 2202858817115774000, 95119763805605190, 6402554290097334], 'label': '2048.cqm.16._.BO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BO', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427571
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 27475552499010030, 2202858817115774000, 952123012202507306, 6402554290097334], 'label': '2048.cqm.16._.BP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BP', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427572
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 857541465828049517, 1980598492144166904, 27475552499010030, 6402554290097334, 2202858817115774000, 872814563880775637], 'label': '2048.cqm.16._.BQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BQ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427573
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [27432399120806406, 1412357423505517920, 1980598492144166904, 872694139074127638, 27499115456835873, 27475552499010030, 6402554290097334, 19709062341273, 2202858817115774000], 'label': '2048.cqm.4._.BK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BK', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427574
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27475552499010030, 6402554290097334, 857525679796802210, 2202858817115774000, 872814563880775637], 'label': '2048.cqm.16._.BR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BR', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427575
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 857541465828049517, 1980598492144166904, 27475552499010030, 6402554290097334, 872798777849528330, 2202858817115774000], 'label': '2048.cqm.16._.BS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BS', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427576
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 857525679796802210, 872798777849528330, 27475552499010030, 2202858817115774000, 6402554290097334], 'label': '2048.cqm.16._.BT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BT', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427577
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27475552499010030, 6402554290097334, 73689747758448159, 952132172669068229, 2202858817115774000], 'label': '2048.cqm.16._.BU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BU', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427578
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 73672654056506286, 1980598492144166904, 27475552499010030, 6402554290097334, 952132172669068229, 2202858817115774000], 'label': '2048.cqm.16._.BV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BV', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427579
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 952117781490112106, 27475552499010030, 2202858817115774000, 73689747758448159, 6402554290097334], 'label': '2048.cqm.16._.BW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BW', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427580
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 952117781490112106, 27475552499010030, 2202858817115774000, 73672654056506286, 6402554290097334], 'label': '2048.cqm.16._.BX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BX', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427581
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 857541465828049517, 1980598492144166904, 27475552499010030, 95030904350651437, 6402554290097334, 2202858817115774000], 'label': '2048.cqm.16._.BY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BY', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427582
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 857525679796802210, 27475552499010030, 2202858817115774000, 95030904350651437, 6402554290097334], 'label': '2048.cqm.16._.BZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BZ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427583
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 952117781490112106, 2202858817115774000, 1445770956979819950, 1405954962621861654, 6409186622864727], 'label': '2048.cqm.16._.CA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.CA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.CA', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427584
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [27432399120806406, 1412357423505517920, 1980598492144166904, 27475552499010030, 6402554290097334, 857426177329455146, 19709062341273, 95020355265755311, 2202858817115774000, 27496500075031680], 'label': '2048.cqm.2._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2._.F', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427585
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 872694139074127638, 27499115456835873, 27475552499010030, 952054988251263650, 6402554290097334, 19709062341273, 2202858817115774000], 'label': '2048.cqm.4._.BL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BL', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427586
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 2202858817115774000, 1445770956979819950, 1405954962621861654, 708806657802767544, 6409186622864727], 'label': '2048.cqm.16._.CB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.CB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.CB', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427587
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 2202858817115774000, 1445770956979819950, 6632332767393, 1405954962621861654, 708806657802767544], 'label': '2048.cqm.16._.CC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.CC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.CC', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427588
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 952117781490112106, 2202858817115774000, 1445770956979819950, 6632332767393, 1405954962621861654], 'label': '2048.cqm.16._.CD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.CD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.CD', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427589
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 952117781490112106, 2202858817115774000, 1445770956979819950, 1412363961888284160, 6402554290097334], 'label': '2048.cqm.16._.CE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.CE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.CE', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427590
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 1864266978076908048, 2202858817115774000, 1445770956979819950, 1412363961888284160, 6402554290097334], 'label': '2048.cqm.16._.CF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.CF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.CF', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427591
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 1864266978076908048, 2202858817115774000, 1445770956979819950, 6632332767393, 6402554290097334], 'label': '2048.cqm.16._.CG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.CG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.CG', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427592
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 952117781490112106, 2202858817115774000, 1445770956979819950, 6632332767393, 6402554290097334], 'label': '2048.cqm.16._.CH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.CH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.CH', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427593
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 952117781490112106, 27475552499010030, 2202858817115774000, 6409186622864727], 'label': '2048.cqm.16._.CI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.CI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.CI', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427594
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 708806657802767544, 1980598492144166904, 27475552499010030, 6409186622864727, 19709062341273, 2202858817115774000], 'label': '2048.cqm.16._.CJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.CJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.CJ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427595
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 27475552499010030, 2202858817115774000, 6632332767393, 708806657802767544], 'label': '2048.cqm.16._.CK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.CK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.CK', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427596
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 872694139074127638, 27499115456835873, 27475552499010030, 6402554290097334, 19709062341273, 27436328447544733, 2202858817115774000], 'label': '2048.cqm.4._.BM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BM', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427597
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 952117781490112106, 27475552499010030, 2202858817115774000, 6632332767393], 'label': '2048.cqm.16._.CL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.CL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.CL', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427598
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 857541465828049517, 1980598492144166904, 27475552499010030, 6402554290097334, 2202858817115774000, 95013810648341670], 'label': '2048.cqm.16._.CM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.CM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.CM', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427599
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 857525679796802210, 27475552499010030, 2202858817115774000, 95013810648341670, 6402554290097334], 'label': '2048.cqm.16._.CN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.CN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.CN', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427600
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27475552499010030, 95030904350651437, 6402554290097334, 952132172669068229, 2202858817115774000], 'label': '2048.cqm.16._.CO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.CO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.CO', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427601
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27475552499010030, 6402554290097334, 952132172669068229, 2202858817115774000, 95013810648341670], 'label': '2048.cqm.16._.CP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.CP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.CP', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427602
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 952117781490112106, 27475552499010030, 2202858817115774000, 95030904350651437, 6402554290097334], 'label': '2048.cqm.16._.CQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.CQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.CQ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427603
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 952117781490112106, 27475552499010030, 2202858817115774000, 95013810648341670, 6402554290097334], 'label': '2048.cqm.16._.CR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.CR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.CR', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427604
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 952069379426182637, 27475552499010030, 2202858817115774000, 872709925102073863, 6402554290097334], 'label': '2048.cqm.16._.CS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.CS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.CS', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427605
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 27475552499010030, 2202858817115774000, 952054988251263650, 872709925102073863, 6402554290097334], 'label': '2048.cqm.16._.CT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.CT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.CT', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427606
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 952069379426182637, 27475552499010030, 2202858817115774000, 872694139074127638, 6402554290097334], 'label': '2048.cqm.16._.CU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.CU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.CU', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427607
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 952060218963295850, 1980598492144166904, 872694139074127638, 27499115456835873, 27475552499010030, 6402554290097334, 19709062341273, 2202858817115774000], 'label': '2048.cqm.4._.BN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BN', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427608
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 27475552499010030, 2202858817115774000, 952054988251263650, 872694139074127638, 6402554290097334], 'label': '2048.cqm.16._.CV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.CV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.CV', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427609
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27475552499010030, 6402554290097334, 73689747758448159, 857436732645006149, 2202858817115774000], 'label': '2048.cqm.16._.CW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.CW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.CW', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427610
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 73672654056506286, 1980598492144166904, 27475552499010030, 6402554290097334, 857436732645006149, 2202858817115774000], 'label': '2048.cqm.16._.CX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.CX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.CX', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427611
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 27475552499010030, 2202858817115774000, 857420946617059946, 73689747758448159, 6402554290097334], 'label': '2048.cqm.16._.CY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.CY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.CY', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427612
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 27475552499010030, 2202858817115774000, 857420946617059946, 73672654056506286, 6402554290097334], 'label': '2048.cqm.16._.CZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.CZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.CZ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427613
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 952069379426182637, 27475552499010030, 2202858817115774000, 95030904350651437, 6402554290097334], 'label': '2048.cqm.16._.DA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.DA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.DA', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427614
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 27475552499010030, 2202858817115774000, 95030904350651437, 952054988251263650, 6402554290097334], 'label': '2048.cqm.16._.DB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.DB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.DB', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427615
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 2202858817115774000, 952054988251263650, 1445770956979819950, 708811888515162744, 1405954962621861654], 'label': '2048.cqm.16._.DC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.DC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.DC', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427616
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 2202858817115774000, 708722948040923330, 1445770956979819950, 708811888515162744, 1405954962621861654], 'label': '2048.cqm.16._.DD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.DD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.DD', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427617
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 2202858817115774000, 708722948040923330, 952123012202507306, 1445770956979819950, 1405954962621861654], 'label': '2048.cqm.16._.DE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.DE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.DE', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427618
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [27432399120806406, 1412357423505517920, 1980598492144166904, 27499115456835873, 27475552499010030, 6402554290097334, 19709062341273, 95020355265755311, 2202858817115774000], 'label': '2048.cqm.4._.BO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BO', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427619
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 2202858817115774000, 952054988251263650, 952123012202507306, 1445770956979819950, 1405954962621861654], 'label': '2048.cqm.16._.DF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.DF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.DF', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427620
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 39948262618850007, 19709062341273, 27475552499010030, 2202858817115774000, 952054988251263650, 1405954962621861654], 'label': '2048.cqm.16._.DG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.DG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.DG', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427621
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 39948262618850007, 19709062341273, 27475552499010030, 2202858817115774000, 708722948040923330, 1405954962621861654], 'label': '2048.cqm.16._.DH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.DH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.DH', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427622
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 27499115456835873, 27475552499010030, 2202858817115774000, 708722948040923330, 1405954962621861654], 'label': '2048.cqm.16._.DI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.DI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.DI', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427623
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 27499115456835873, 27475552499010030, 2202858817115774000, 952054988251263650, 1405954962621861654], 'label': '2048.cqm.16._.DJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.DJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.DJ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427624
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 111359288509213, 1980598492144166904, 19709062341273, 614088906406724664, 2202858817115774000, 39924699659940486], 'label': '2048.cqm.16._.DK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.DK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.DK', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427625
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 39924699659940486, 2202858817115774000, 6513906872538757, 614088906406724664], 'label': '2048.cqm.16._.DL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.DL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.DL', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427626
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 857420946617059946, 6513906872538757, 19709062341273, 2202858817115774000, 39924699659940486], 'label': '2048.cqm.16._.DM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.DM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.DM', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427627
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 111359288509213, 1980598492144166904, 857420946617059946, 19709062341273, 2202858817115774000, 39924699659940486], 'label': '2048.cqm.16._.DN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.DN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.DN', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427628
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27499115456835873, 27475552499010030, 19709062341273, 614088906406724664, 2202858817115774000], 'label': '2048.cqm.16._.DO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.DO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.DO', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427629
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27499115456835873, 27475552499010030, 952054988251263650, 6402554290097334, 19709062341273, 95020355265755311, 2202858817115774000], 'label': '2048.cqm.4._.BP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BP', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427630
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27475552499010030, 19709062341273, 39948262618850007, 614088906406724664, 2202858817115774000], 'label': '2048.cqm.16._.DP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.DP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.DP', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427631
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27475552499010030, 857420946617059946, 19709062341273, 39948262618850007, 2202858817115774000], 'label': '2048.cqm.16._.DQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.DQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.DQ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427632
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27499115456835873, 27475552499010030, 857420946617059946, 19709062341273, 2202858817115774000], 'label': '2048.cqm.16._.DR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.DR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.DR', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427633
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 6402554290097334, 19709062341273, 27436328447544733, 2202858817115774000, 249263475628640702], 'label': '2048.cqm.16._.DS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.DS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.DS', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427634
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 249263475628640702, 2202858817115774000, 69481734261207, 6402554290097334], 'label': '2048.cqm.16._.DT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.DT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.DT', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427635
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 857426177329455146, 19709062341273, 2202858817115774000, 69481734261207, 6402554290097334], 'label': '2048.cqm.16._.DU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.DU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.DU', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427636
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 6402554290097334, 857426177329455146, 19709062341273, 27436328447544733, 2202858817115774000], 'label': '2048.cqm.16._.DV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.DV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.DV', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427637
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 2202858817115774000, 952054988251263650, 1445770956979819950, 1405954962621861654, 6409186622864727], 'label': '2048.cqm.16._.DW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.DW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.DW', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427638
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 2202858817115774000, 708722948040923330, 1445770956979819950, 1405954962621861654, 6409186622864727], 'label': '2048.cqm.16._.DX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.DX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.DX', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427639
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 2202858817115774000, 708722948040923330, 1445770956979819950, 6632332767393, 1405954962621861654], 'label': '2048.cqm.16._.DY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.DY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.DY', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427640
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27499115456835873, 27475552499010030, 6402554290097334, 19709062341273, 95020355265755311, 27436328447544733, 2202858817115774000], 'label': '2048.cqm.4._.BQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BQ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427641
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 2202858817115774000, 952054988251263650, 1445770956979819950, 6632332767393, 1405954962621861654], 'label': '2048.cqm.16._.DZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.DZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.DZ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427642
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 2202858817115774000, 27478167880813957, 952054988251263650, 6402554290097334], 'label': '2048.cqm.16._.EA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.EA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.EA', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427643
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 2202858817115774000, 27478167880813957, 343870048901157680, 6402554290097334], 'label': '2048.cqm.16._.EB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.EB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.EB', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427644
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 2202858817115774000, 343870048901157680, 6632332767393, 6402554290097334], 'label': '2048.cqm.16._.EC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.EC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.EC', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427645
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 2202858817115774000, 952054988251263650, 6632332767393, 6402554290097334], 'label': '2048.cqm.16._.ED', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.ED', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.ED', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427646
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 27475552499010030, 2202858817115774000, 952054988251263650, 1405954962621861654, 6409186622864727], 'label': '2048.cqm.16._.EE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.EE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.EE', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427647
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 27475552499010030, 2202858817115774000, 708722948040923330, 1405954962621861654, 6409186622864727], 'label': '2048.cqm.16._.EF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.EF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.EF', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427648
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 27475552499010030, 2202858817115774000, 708722948040923330, 6632332767393, 1405954962621861654], 'label': '2048.cqm.16._.EG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.EG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.EG', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427649
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 27475552499010030, 2202858817115774000, 952054988251263650, 6632332767393, 1405954962621861654], 'label': '2048.cqm.16._.EH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.EH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.EH', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427650
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 952069379426182637, 27475552499010030, 2202858817115774000, 95013810648341670, 6402554290097334], 'label': '2048.cqm.16._.EI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.EI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.EI', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427651
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 952060218963295850, 1980598492144166904, 27499115456835873, 27475552499010030, 6402554290097334, 19709062341273, 95020355265755311, 2202858817115774000], 'label': '2048.cqm.4._.BR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BR', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427652
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 27475552499010030, 2202858817115774000, 952054988251263650, 95013810648341670, 6402554290097334], 'label': '2048.cqm.16._.EJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.EJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.EJ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427653
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27475552499010030, 95030904350651437, 6402554290097334, 857436732645006149, 2202858817115774000], 'label': '2048.cqm.16._.EK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.EK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.EK', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427654
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27475552499010030, 6402554290097334, 857436732645006149, 2202858817115774000, 95013810648341670], 'label': '2048.cqm.16._.EL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.EL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.EL', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427655
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27475552499010030, 95030904350651437, 6402554290097334, 857420946617059946, 2202858817115774000], 'label': '2048.cqm.16._.EM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.EM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.EM', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427656
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 27475552499010030, 2202858817115774000, 857420946617059946, 95013810648341670, 6402554290097334], 'label': '2048.cqm.16._.EN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.EN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.EN', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427657
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 124442244695679, 1980598492144166904, 27475552499010030, 6402554290097334, 95135549833138743, 2202858817115774000], 'label': '2048.cqm.16._.EO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.EO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.EO', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427658
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 27475552499010030, 2202858817115774000, 106040900676486, 95135549833138743, 6402554290097334], 'label': '2048.cqm.16._.EP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.EP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.EP', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427659
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 124442244695679, 1980598492144166904, 95119763805605190, 27475552499010030, 6402554290097334, 2202858817115774000], 'label': '2048.cqm.16._.EQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.EQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.EQ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427660
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 27475552499010030, 2202858817115774000, 106040900676486, 95119763805605190, 6402554290097334], 'label': '2048.cqm.16._.ER', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.ER', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.ER', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427661
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 27475552499010030, 2202858817115774000, 27512198413390233, 73689747758448159, 6402554290097334], 'label': '2048.cqm.16._.ES', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.ES', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.ES', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427662
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [27432399120806406, 1412357423505517920, 1980598492144166904, 27499115456835873, 27475552499010030, 6402554290097334, 872698062598414182, 19709062341273, 2202858817115774000], 'label': '2048.cqm.4._.BS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BS', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427663
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 27475552499010030, 2202858817115774000, 27512198413390233, 73672654056506286, 6402554290097334], 'label': '2048.cqm.16._.ET', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.ET', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.ET', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427664
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27475552499010030, 6402554290097334, 73689747758448159, 2202858817115774000, 27496500075031680], 'label': '2048.cqm.16._.EU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.EU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.EU', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427665
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 27475552499010030, 2202858817115774000, 73672654056506286, 27496500075031680, 6402554290097334], 'label': '2048.cqm.16._.EV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.EV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.EV', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427666
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 124442244695679, 1980598492144166904, 27475552499010030, 95030904350651437, 6402554290097334, 2202858817115774000], 'label': '2048.cqm.16._.EW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.EW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.EW', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427667
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 27475552499010030, 2202858817115774000, 95030904350651437, 106040900676486, 6402554290097334], 'label': '2048.cqm.16._.EX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.EX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.EX', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427668
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 249256937241876782, 27436328447544733, 2202858817115774000, 6402554290097334], 'label': '2048.cqm.16._.EY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.EY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.EY', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427669
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 249256937241876782, 2202858817115774000, 69481734261207, 6402554290097334], 'label': '2048.cqm.16._.EZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.EZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.EZ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427670
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 2202858817115774000, 69481734261207, 857420946617059946, 6402554290097334], 'label': '2048.cqm.16._.FA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.FA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.FA', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427671
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 27436328447544733, 2202858817115774000, 857420946617059946, 6402554290097334], 'label': '2048.cqm.16._.FB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.FB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.FB', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427672
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 39924699659940486, 2202858817115774000, 857420946617059946, 6409186622864727], 'label': '2048.cqm.16._.FC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.FC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.FC', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427673
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27499115456835873, 27475552499010030, 952054988251263650, 6402554290097334, 872698062598414182, 19709062341273, 2202858817115774000], 'label': '2048.cqm.4._.BT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BT', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427674
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 6409186622864727, 19709062341273, 614088906406724664, 2202858817115774000, 39924699659940486], 'label': '2048.cqm.16._.FD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.FD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.FD', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427675
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 39924699659940486, 2202858817115774000, 6632332767393, 614088906406724664], 'label': '2048.cqm.16._.FE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.FE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.FE', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427676
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 39924699659940486, 2202858817115774000, 857420946617059946, 6632332767393], 'label': '2048.cqm.16._.FF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.FF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.FF', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427677
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 2202858817115774000, 857420946617059946, 27478167880813957, 6402554290097334], 'label': '2048.cqm.16._.FG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.FG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.FG', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427678
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 249256937241876782, 2202858817115774000, 27478167880813957, 6402554290097334], 'label': '2048.cqm.16._.FH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.FH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.FH', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427679
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 249256937241876782, 2202858817115774000, 6632332767393, 6402554290097334], 'label': '2048.cqm.16._.FI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.FI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.FI', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427680
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 2202858817115774000, 857420946617059946, 6632332767393, 6402554290097334], 'label': '2048.cqm.16._.FJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.FJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.FJ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427681
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 27475552499010030, 2202858817115774000, 857420946617059946, 6409186622864727], 'label': '2048.cqm.16._.FK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.FK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.FK', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427682
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27475552499010030, 6409186622864727, 19709062341273, 614088906406724664, 2202858817115774000], 'label': '2048.cqm.16._.FL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.FL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.FL', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427683
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 27475552499010030, 2202858817115774000, 6632332767393, 614088906406724664], 'label': '2048.cqm.16._.FM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.FM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.FM', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427684
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27499115456835873, 27475552499010030, 6402554290097334, 872698062598414182, 19709062341273, 27436328447544733, 2202858817115774000], 'label': '2048.cqm.4._.BU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BU', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427685
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 27475552499010030, 2202858817115774000, 857420946617059946, 6632332767393], 'label': '2048.cqm.16._.FN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.FN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.FN', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427686
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 124442244695679, 1980598492144166904, 27475552499010030, 6402554290097334, 2202858817115774000, 95013810648341670], 'label': '2048.cqm.16._.FO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.FO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.FO', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427687
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 27475552499010030, 2202858817115774000, 106040900676486, 95013810648341670, 6402554290097334], 'label': '2048.cqm.16._.FP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.FP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.FP', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427688
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27475552499010030, 95030904350651437, 6402554290097334, 27512198413390233, 2202858817115774000], 'label': '2048.cqm.16._.FQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.FQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.FQ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427689
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 27475552499010030, 2202858817115774000, 27512198413390233, 95013810648341670, 6402554290097334], 'label': '2048.cqm.16._.FR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.FR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.FR', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427690
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 27475552499010030, 2202858817115774000, 95030904350651437, 27496500075031680, 6402554290097334], 'label': '2048.cqm.16._.FS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.FS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.FS', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427691
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 27475552499010030, 2202858817115774000, 95013810648341670, 27496500075031680, 6402554290097334], 'label': '2048.cqm.16._.FT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.FT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.FT', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427692
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 1864270907835070393, 2202858817115774000, 1445770956979819950, 27432399120806406, 6402554290097334], 'label': '2048.cqm.16._.FU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.FU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.FU', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427693
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 1445812795928976966, 1864270907835070393, 2202858817115774000, 1445770956979819950, 6402554290097334], 'label': '2048.cqm.16._.FV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.FV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.FV', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427694
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 1445812795928976966, 2202858817115774000, 952123012202507306, 1445770956979819950, 6402554290097334], 'label': '2048.cqm.16._.FW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.FW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.FW', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427695
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27475552499010030, 6402554290097334, 857426177329455146, 19709062341273, 27436328447544733, 2202858817115774000, 95013810648341670, 27496500075031680], 'label': '2048.cqm.2._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2._.G', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427696
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 952060218963295850, 1980598492144166904, 27499115456835873, 27475552499010030, 6402554290097334, 872698062598414182, 19709062341273, 2202858817115774000], 'label': '2048.cqm.4._.BV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BV', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427697
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 2202858817115774000, 952123012202507306, 1445770956979819950, 27432399120806406, 6402554290097334], 'label': '2048.cqm.16._.FX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.FX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.FX', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427698
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 27432399120806406, 1980598492144166904, 6402554290097334, 19709062341273, 2202858817115774000, 249263475628640702], 'label': '2048.cqm.16._.FY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.FY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.FY', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427699
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 6402554290097334, 19709062341273, 2202858817115774000, 249263475628640702, 64163346428214], 'label': '2048.cqm.16._.FZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.FZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.FZ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427700
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 6402554290097334, 857426177329455146, 19709062341273, 2202858817115774000, 64163346428214], 'label': '2048.cqm.16._.GA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.GA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.GA', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427701
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [27432399120806406, 1412357423505517920, 1980598492144166904, 6402554290097334, 857426177329455146, 19709062341273, 2202858817115774000], 'label': '2048.cqm.16._.GB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.GB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.GB', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427702
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 1445525032773709440, 27475552499010030, 2202858817115774000, 27432399120806406, 6402554290097334], 'label': '2048.cqm.16._.GC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.GC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.GC', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427703
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 1445525032773709440, 1445812795928976966, 27475552499010030, 2202858817115774000, 6402554290097334], 'label': '2048.cqm.16._.GD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.GD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.GD', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427704
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27475552499010030, 918237480007640861, 6402554290097334, 952132172669068229, 2202858817115774000], 'label': '2048.cqm.16._.GE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.GE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.GE', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427705
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27475552499010030, 6402554290097334, 918223088832364034, 952132172669068229, 2202858817115774000], 'label': '2048.cqm.16._.GF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.GF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.GF', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427706
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 952117781490112106, 27475552499010030, 2202858817115774000, 918237480007640861, 6402554290097334], 'label': '2048.cqm.16._.GG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.GG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.GG', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427707
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 27432399120806406, 1980598492144166904, 27475552499010030, 6402554290097334, 19709062341273, 2202858817115774000, 95013810648341670, 952123012202507306], 'label': '2048.cqm.4._.BW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BW', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427708
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 952117781490112106, 27475552499010030, 2202858817115774000, 918223088832364034, 6402554290097334], 'label': '2048.cqm.16._.GH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.GH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.GH', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427709
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 857541465828049517, 1980598492144166904, 27475552499010030, 6402554290097334, 872709925102073863, 2202858817115774000], 'label': '2048.cqm.16._.GI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.GI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.GI', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427710
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 857525679796802210, 27475552499010030, 2202858817115774000, 872709925102073863, 6402554290097334], 'label': '2048.cqm.16._.GJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.GJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.GJ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427711
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 857541465828049517, 1980598492144166904, 872694139074127638, 27475552499010030, 6402554290097334, 2202858817115774000], 'label': '2048.cqm.16._.GK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.GK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.GK', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427712
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 857525679796802210, 27475552499010030, 2202858817115774000, 872694139074127638, 6402554290097334], 'label': '2048.cqm.16._.GL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.GL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.GL', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427713
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 857541465828049517, 1980598492144166904, 27475552499010030, 6402554290097334, 95135549833138743, 2202858817115774000], 'label': '2048.cqm.16._.GM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.GM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.GM', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427714
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 857525679796802210, 27475552499010030, 2202858817115774000, 95135549833138743, 6402554290097334], 'label': '2048.cqm.16._.GN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.GN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.GN', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427715
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 857541465828049517, 1980598492144166904, 95119763805605190, 27475552499010030, 6402554290097334, 2202858817115774000], 'label': '2048.cqm.16._.GO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.GO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.GO', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427716
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 857525679796802210, 27475552499010030, 2202858817115774000, 95119763805605190, 6402554290097334], 'label': '2048.cqm.16._.GP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.GP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.GP', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427717
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27475552499010030, 6402554290097334, 952132172669068229, 872709925102073863, 2202858817115774000], 'label': '2048.cqm.16._.GQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.GQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.GQ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427718
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 27475552499010030, 2202858817115774000, 952054988251263650, 952123012202507306, 95013810648341670, 6402554290097334], 'label': '2048.cqm.4._.BX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BX', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427719
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 872694139074127638, 27475552499010030, 6402554290097334, 952132172669068229, 2202858817115774000], 'label': '2048.cqm.16._.GR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.GR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.GR', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427720
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 952117781490112106, 27475552499010030, 2202858817115774000, 872709925102073863, 6402554290097334], 'label': '2048.cqm.16._.GS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.GS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.GS', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427721
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 952117781490112106, 27475552499010030, 2202858817115774000, 872694139074127638, 6402554290097334], 'label': '2048.cqm.16._.GT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.GT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.GT', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427722
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 952069379426182637, 27475552499010030, 6402554290097334, 2202858817115774000, 872814563880775637], 'label': '2048.cqm.16._.GU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.GU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.GU', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427723
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27475552499010030, 952054988251263650, 6402554290097334, 2202858817115774000, 872814563880775637], 'label': '2048.cqm.16._.GV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.GV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.GV', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427724
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 952069379426182637, 27475552499010030, 6402554290097334, 872798777849528330, 2202858817115774000], 'label': '2048.cqm.16._.GW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.GW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.GW', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427725
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 872798777849528330, 27475552499010030, 2202858817115774000, 952054988251263650, 6402554290097334], 'label': '2048.cqm.16._.GX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.GX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.GX', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427726
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 73794386537523733, 1980598492144166904, 27475552499010030, 6402554290097334, 857436732645006149, 2202858817115774000], 'label': '2048.cqm.16._.GY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.GY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.GY', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427727
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 73778600509622286, 1980598492144166904, 27475552499010030, 6402554290097334, 857436732645006149, 2202858817115774000], 'label': '2048.cqm.16._.GZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.GZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.GZ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427728
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 27475552499010030, 2202858817115774000, 857420946617059946, 73794386537523733, 6402554290097334], 'label': '2048.cqm.16._.HA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.HA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.HA', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427729
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27475552499010030, 6402554290097334, 19709062341273, 27436328447544733, 2202858817115774000, 95013810648341670, 952123012202507306], 'label': '2048.cqm.4._.BY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BY', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427730
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 73778600509622286, 27475552499010030, 2202858817115774000, 857420946617059946, 6402554290097334], 'label': '2048.cqm.16._.HB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.HB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.HB', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427731
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 952069379426182637, 27475552499010030, 2202858817115774000, 95135549833138743, 6402554290097334], 'label': '2048.cqm.16._.HC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.HC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.HC', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427732
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 27475552499010030, 2202858817115774000, 952054988251263650, 95135549833138743, 6402554290097334], 'label': '2048.cqm.16._.HD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.HD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.HD', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427733
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 952069379426182637, 27475552499010030, 2202858817115774000, 95119763805605190, 6402554290097334], 'label': '2048.cqm.16._.HE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.HE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.HE', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427734
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 27475552499010030, 2202858817115774000, 952054988251263650, 95119763805605190, 6402554290097334], 'label': '2048.cqm.16._.HF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.HF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.HF', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427735
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27475552499010030, 6402554290097334, 95135549833138743, 857436732645006149, 2202858817115774000], 'label': '2048.cqm.16._.HG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.HG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.HG', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427736
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 95119763805605190, 27475552499010030, 6402554290097334, 857436732645006149, 2202858817115774000], 'label': '2048.cqm.16._.HH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.HH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.HH', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427737
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 27475552499010030, 2202858817115774000, 857420946617059946, 95135549833138743, 6402554290097334], 'label': '2048.cqm.16._.HI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.HI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.HI', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427738
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 27475552499010030, 2202858817115774000, 857420946617059946, 95119763805605190, 6402554290097334], 'label': '2048.cqm.16._.HJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.HJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.HJ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427739
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 2202858817115774000, 1445770956979819950, 952060218963295850, 708811888515162744, 1405954962621861654], 'label': '2048.cqm.16._.HK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.HK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.HK', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427740
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 952060218963295850, 1980598492144166904, 27475552499010030, 6402554290097334, 19709062341273, 2202858817115774000, 95013810648341670, 952123012202507306], 'label': '2048.cqm.4._.BZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BZ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427741
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 2202858817115774000, 708728178752955530, 1445770956979819950, 708811888515162744, 1405954962621861654], 'label': '2048.cqm.16._.HL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.HL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.HL', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427742
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 2202858817115774000, 708728178752955530, 952123012202507306, 1445770956979819950, 1405954962621861654], 'label': '2048.cqm.16._.HM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.HM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.HM', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427743
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 2202858817115774000, 952123012202507306, 1445770956979819950, 952060218963295850, 1405954962621861654], 'label': '2048.cqm.16._.HN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.HN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.HN', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427744
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 39945647237045814, 27475552499010030, 2202858817115774000, 952060218963295850, 1405954962621861654], 'label': '2048.cqm.16._.HO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.HO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.HO', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427745
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 39945647237045814, 27475552499010030, 2202858817115774000, 708728178752955530, 1405954962621861654], 'label': '2048.cqm.16._.HP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.HP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.HP', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427746
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 27475552499010030, 2202858817115774000, 708728178752955530, 27496500075031680, 1405954962621861654], 'label': '2048.cqm.16._.HQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.HQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.HQ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427747
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 27475552499010030, 2202858817115774000, 952060218963295850, 27496500075031680, 1405954962621861654], 'label': '2048.cqm.16._.HR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.HR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.HR', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427748
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 39924699659940486, 614094137119119864, 2202858817115774000, 106040900676486], 'label': '2048.cqm.16._.HS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.HS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.HS', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427749
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 39924699659940486, 614094137119119864, 2202858817115774000, 6508588484706030], 'label': '2048.cqm.16._.HT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.HT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.HT', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427750
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 857426177329455146, 6508588484706030, 19709062341273, 2202858817115774000, 39924699659940486], 'label': '2048.cqm.16._.HU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.HU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.HU', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427751
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 27432399120806406, 1980598492144166904, 872694139074127638, 27475552499010030, 6402554290097334, 19709062341273, 2202858817115774000, 952123012202507306], 'label': '2048.cqm.4._.CA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.CA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.CA', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427752
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 857426177329455146, 19709062341273, 106040900676486, 2202858817115774000, 39924699659940486], 'label': '2048.cqm.16._.HV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.HV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.HV', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427753
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 614094137119119864, 27475552499010030, 2202858817115774000, 27496500075031680], 'label': '2048.cqm.16._.HW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.HW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.HW', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427754
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27475552499010030, 19709062341273, 39945647237045814, 614094137119119864, 2202858817115774000], 'label': '2048.cqm.16._.HX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.HX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.HX', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427755
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27475552499010030, 857426177329455146, 19709062341273, 39945647237045814, 2202858817115774000], 'label': '2048.cqm.16._.HY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.HY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.HY', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427756
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27475552499010030, 857426177329455146, 19709062341273, 2202858817115774000, 27496500075031680], 'label': '2048.cqm.16._.HZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.HZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.HZ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427757
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 1445525032773709440, 27436328447544733, 27475552499010030, 2202858817115774000, 6402554290097334], 'label': '2048.cqm.16._.IA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.IA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.IA', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427758
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1445819334312111366, 19709062341273, 1445525032773709440, 27475552499010030, 2202858817115774000, 6402554290097334], 'label': '2048.cqm.16._.IB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.IB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.IB', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427759
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1445819334312111366, 1980598492144166904, 27499115456835873, 27475552499010030, 6402554290097334, 19709062341273, 2202858817115774000], 'label': '2048.cqm.16._.IC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.IC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.IC', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427760
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 27499115456835873, 27475552499010030, 6402554290097334, 19709062341273, 27436328447544733, 2202858817115774000], 'label': '2048.cqm.16._.ID', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.ID', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.ID', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427761
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 27475552499010030, 6402554290097334, 19709062341273, 1445518494390943200, 27436328447544733, 2202858817115774000], 'label': '2048.cqm.16._.IE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.IE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.IE', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427762
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 27475552499010030, 2202858817115774000, 952054988251263650, 952123012202507306, 872694139074127638, 6402554290097334], 'label': '2048.cqm.4._.CB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.CB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.CB', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427763
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1445819334312111366, 1980598492144166904, 27475552499010030, 6402554290097334, 19709062341273, 1445518494390943200, 2202858817115774000], 'label': '2048.cqm.16._.IF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.IF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.IF', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427764
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1445819334312111366, 19709062341273, 27475552499010030, 2202858817115774000, 27496500075031680, 6402554290097334], 'label': '2048.cqm.16._.IG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.IG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.IG', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427765
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 27436328447544733, 27475552499010030, 2202858817115774000, 27496500075031680, 6402554290097334], 'label': '2048.cqm.16._.IH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.IH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.IH', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427766
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 2202858817115774000, 106040900676486, 1445770956979819950, 1405954962621861654, 6409186622864727], 'label': '2048.cqm.16._.II', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.II', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.II', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427767
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 2202858817115774000, 6508588484706030, 1445770956979819950, 1405954962621861654, 6409186622864727], 'label': '2048.cqm.16._.IJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.IJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.IJ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427768
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 2202858817115774000, 6508588484706030, 1445770956979819950, 6632332767393, 1405954962621861654], 'label': '2048.cqm.16._.IK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.IK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.IK', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427769
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 2202858817115774000, 106040900676486, 1445770956979819950, 6632332767393, 1405954962621861654], 'label': '2048.cqm.16._.IL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.IL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.IL', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427770
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 39924699659940486, 2202858817115774000, 106040900676486, 6409186622864727], 'label': '2048.cqm.16._.IM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.IM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.IM', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427771
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 39924699659940486, 2202858817115774000, 6508588484706030, 6409186622864727], 'label': '2048.cqm.16._.IN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.IN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.IN', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427772
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 39924699659940486, 2202858817115774000, 6508588484706030, 6632332767393], 'label': '2048.cqm.16._.IO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.IO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.IO', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427773
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 872694139074127638, 27475552499010030, 6402554290097334, 19709062341273, 27436328447544733, 2202858817115774000, 952123012202507306], 'label': '2048.cqm.4._.CC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.CC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.CC', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427774
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 39924699659940486, 2202858817115774000, 106040900676486, 6632332767393], 'label': '2048.cqm.16._.IP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.IP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.IP', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427775
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 27475552499010030, 2202858817115774000, 106040900676486, 1412363961888284160, 6402554290097334], 'label': '2048.cqm.16._.IQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.IQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.IQ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427776
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 27475552499010030, 2202858817115774000, 1412084138643906246, 1412363961888284160, 6402554290097334], 'label': '2048.cqm.16._.IR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.IR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.IR', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427777
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 27475552499010030, 2202858817115774000, 1412084138643906246, 6632332767393, 6402554290097334], 'label': '2048.cqm.16._.IS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.IS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.IS', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427778
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 27475552499010030, 2202858817115774000, 106040900676486, 6632332767393, 6402554290097334], 'label': '2048.cqm.16._.IT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.IT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.IT', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427779
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 27499115456835873, 27475552499010030, 6402554290097334, 19709062341273, 1445812795928976966, 2202858817115774000], 'label': '2048.cqm.16._.IU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.IU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.IU', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427780
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [27432399120806406, 1980598492144166904, 27499115456835873, 27475552499010030, 6402554290097334, 19709062341273, 2202858817115774000], 'label': '2048.cqm.16._.IV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.IV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.IV', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427781
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 2202858817115774000, 1445770956979819950, 1412363961888284160, 27432399120806406, 6402554290097334], 'label': '2048.cqm.16._.IW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.IW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.IW', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427782
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 1445812795928976966, 2202858817115774000, 1445770956979819950, 1412363961888284160, 6402554290097334], 'label': '2048.cqm.16._.IX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.IX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.IX', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427783
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 1445812795928976966, 2202858817115774000, 1445770956979819950, 6632332767393, 6402554290097334], 'label': '2048.cqm.16._.IY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.IY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.IY', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427784
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 952060218963295850, 1980598492144166904, 872694139074127638, 27475552499010030, 6402554290097334, 19709062341273, 2202858817115774000, 952123012202507306], 'label': '2048.cqm.4._.CD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.CD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.CD', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427785
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 2202858817115774000, 1445770956979819950, 6632332767393, 27432399120806406, 6402554290097334], 'label': '2048.cqm.16._.IZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.IZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.IZ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427786
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 2202858817115774000, 27478167880813957, 27432399120806406, 6402554290097334], 'label': '2048.cqm.16._.JA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.JA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.JA', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427787
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 2202858817115774000, 27478167880813957, 64163346428214, 6402554290097334], 'label': '2048.cqm.16._.JB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.JB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.JB', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427788
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 2202858817115774000, 6632332767393, 64163346428214, 6402554290097334], 'label': '2048.cqm.16._.JC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.JC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.JC', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427789
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 2202858817115774000, 6632332767393, 27432399120806406, 6402554290097334], 'label': '2048.cqm.16._.JD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.JD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.JD', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427790
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 27475552499010030, 2202858817115774000, 1412363961888284160, 27432399120806406, 6402554290097334], 'label': '2048.cqm.16._.JE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.JE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.JE', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427791
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 1445812795928976966, 27475552499010030, 2202858817115774000, 1412363961888284160, 6402554290097334], 'label': '2048.cqm.16._.JF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.JF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.JF', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427792
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 1445812795928976966, 27475552499010030, 2202858817115774000, 6632332767393, 6402554290097334], 'label': '2048.cqm.16._.JG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.JG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.JG', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427793
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 27475552499010030, 2202858817115774000, 6632332767393, 27432399120806406, 6402554290097334], 'label': '2048.cqm.16._.JH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.JH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.JH', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427794
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 27475552499010030, 2202858817115774000, 952054988251263650, 6402554290097334], 'label': '2048.cqm.16._.JI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.JI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.JI', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427795
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 27432399120806406, 1980598492144166904, 27475552499010030, 6402554290097334, 19709062341273, 95020355265755311, 2202858817115774000, 952123012202507306], 'label': '2048.cqm.4._.CE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.CE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.CE', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427796
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 27449405176750719, 27475552499010030, 2202858817115774000, 95135549833138743, 6402554290097334], 'label': '2048.cqm.16._.JJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.JJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.JJ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427797
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 27475552499010030, 2202858817115774000, 27496500075031680, 1405954962621861654, 6409186622864727], 'label': '2048.cqm.16._.JK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.JK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.JK', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427798
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 39945647237045814, 27475552499010030, 2202858817115774000, 1405954962621861654, 6409186622864727], 'label': '2048.cqm.16._.JL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.JL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.JL', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427799
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 39945647237045814, 27475552499010030, 2202858817115774000, 6632332767393, 1405954962621861654], 'label': '2048.cqm.16._.JM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.JM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.JM', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427800
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 27475552499010030, 1405954962621861654, 6632332767393, 19709062341273, 2202858817115774000, 27496500075031680], 'label': '2048.cqm.16._.JN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.JN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.JN', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427801
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 27475552499010030, 2202858817115774000, 27496500075031680, 6409186622864727], 'label': '2048.cqm.16._.JO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.JO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.JO', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427802
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 39945647237045814, 27475552499010030, 2202858817115774000, 6409186622864727], 'label': '2048.cqm.16._.JP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.JP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.JP', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427803
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 39945647237045814, 27475552499010030, 2202858817115774000, 6632332767393], 'label': '2048.cqm.16._.JQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.JQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.JQ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427804
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27475552499010030, 6632332767393, 19709062341273, 2202858817115774000, 27496500075031680], 'label': '2048.cqm.16._.JR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.JR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.JR', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427805
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 27475552499010030, 2202858817115774000, 27496500075031680, 1412363961888284160, 6402554290097334], 'label': '2048.cqm.16._.JS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.JS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.JS', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427806
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [27432399120806406, 1412357423505517920, 1980598492144166904, 27475552499010030, 6402554290097334, 857426177329455146, 19709062341273, 2202858817115774000, 95013810648341670, 27496500075031680], 'label': '2048.cqm.2._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2._.H', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427807
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 27475552499010030, 2202858817115774000, 952054988251263650, 952123012202507306, 95020355265755311, 6402554290097334], 'label': '2048.cqm.4._.CF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.CF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.CF', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427808
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1445518494390943200, 1980598492144166904, 19709062341273, 27475552499010030, 2202858817115774000, 1412363961888284160, 6402554290097334], 'label': '2048.cqm.16._.JT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.JT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.JT', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427809
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1445518494390943200, 1980598492144166904, 19709062341273, 27475552499010030, 2202858817115774000, 6632332767393, 6402554290097334], 'label': '2048.cqm.16._.JU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.JU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.JU', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427810
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 27475552499010030, 2202858817115774000, 27496500075031680, 6632332767393, 6402554290097334], 'label': '2048.cqm.16._.JV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.JV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.JV', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427811
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 27432399120806406, 1980598492144166904, 27475552499010030, 6402554290097334, 95135549833138743, 2202858817115774000], 'label': '2048.cqm.16._.JW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.JW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.JW', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427812
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 27449405176750719, 27475552499010030, 2202858817115774000, 95119763805605190, 6402554290097334], 'label': '2048.cqm.16._.JX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.JX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.JX', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427813
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 27432399120806406, 1980598492144166904, 95119763805605190, 27475552499010030, 6402554290097334, 2202858817115774000], 'label': '2048.cqm.16._.JY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.JY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.JY', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427814
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 27475552499010030, 6402554290097334, 1445518494390943200, 1445812795928976966, 1412371901815177593, 2202858817115774000], 'label': '2048.cqm.16._.JZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.JZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.JZ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427815
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [27432399120806406, 1980598492144166904, 27475552499010030, 6402554290097334, 1445518494390943200, 1412371901815177593, 2202858817115774000], 'label': '2048.cqm.16._.KA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.KA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.KA', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427816
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 27475552499010030, 6402554290097334, 1445812795928976966, 1412371901815177593, 2202858817115774000, 27496500075031680], 'label': '2048.cqm.16._.KB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.KB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.KB', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427817
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [27432399120806406, 1980598492144166904, 27475552499010030, 6402554290097334, 1412371901815177593, 2202858817115774000, 27496500075031680], 'label': '2048.cqm.16._.KC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.KC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.KC', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427818
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27475552499010030, 6402554290097334, 19709062341273, 95020355265755311, 27436328447544733, 2202858817115774000, 952123012202507306], 'label': '2048.cqm.4._.CG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.CG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.CG', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427819
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 27475552499010030, 6402554290097334, 19709062341273, 1445518494390943200, 1445812795928976966, 2202858817115774000], 'label': '2048.cqm.16._.KD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.KD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.KD', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427820
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [27432399120806406, 1980598492144166904, 27475552499010030, 6402554290097334, 19709062341273, 1445518494390943200, 2202858817115774000], 'label': '2048.cqm.16._.KE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.KE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.KE', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427821
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 1445812795928976966, 27475552499010030, 2202858817115774000, 27496500075031680, 6402554290097334], 'label': '2048.cqm.16._.KF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.KF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.KF', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427822
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 27475552499010030, 2202858817115774000, 27496500075031680, 27432399120806406, 6402554290097334], 'label': '2048.cqm.16._.KG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.KG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.KG', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427823
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 27449405176750719, 27475552499010030, 2202858817115774000, 27512198413390233, 6402554290097334], 'label': '2048.cqm.16._.KH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.KH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.KH', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427824
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 27475552499010030, 2202858817115774000, 27496500075031680, 6402554290097334], 'label': '2048.cqm.16._.KI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.KI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.KI', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427825
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 27475552499010030, 2202858817115774000, 95013810648341670, 6402554290097334], 'label': '2048.cqm.16._.KJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.KJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.KJ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427826
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 27475552499010030, 2202858817115774000, 857420946617059946, 6402554290097334], 'label': '2048.cqm.16._.KK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.KK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.KK', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427827
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 27475552499010030, 2202858817115774000, 6632332767393, 6402554290097334], 'label': '2048.cqm.16._.KL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.KL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.KL', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427828
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [124442244695679, 1412357423505517920, 1980598492144166904, 27475552499010030, 6402554290097334, 2202858817115774000, 872814563880775637], 'label': '2048.cqm.16._.KM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.KM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.KM', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427829
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 27475552499010030, 2202858817115774000, 952123012202507306, 952060218963295850, 95020355265755311, 6402554290097334], 'label': '2048.cqm.4._.CH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.CH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.CH', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427830
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27475552499010030, 6402554290097334, 106040900676486, 2202858817115774000, 872814563880775637], 'label': '2048.cqm.16._.KN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.KN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.KN', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427831
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 124442244695679, 1980598492144166904, 27475552499010030, 6402554290097334, 872798777849528330, 2202858817115774000], 'label': '2048.cqm.16._.KO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.KO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.KO', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427832
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 872798777849528330, 27475552499010030, 2202858817115774000, 106040900676486, 6402554290097334], 'label': '2048.cqm.16._.KP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.KP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.KP', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427833
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 27475552499010030, 2202858817115774000, 27512198413390233, 918237480007640861, 6402554290097334], 'label': '2048.cqm.16._.KQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.KQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.KQ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427834
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 27475552499010030, 2202858817115774000, 27512198413390233, 918223088832364034, 6402554290097334], 'label': '2048.cqm.16._.KR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.KR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.KR', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427835
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 27475552499010030, 2202858817115774000, 918237480007640861, 27496500075031680, 6402554290097334], 'label': '2048.cqm.16._.KS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.KS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.KS', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427836
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27475552499010030, 6402554290097334, 918223088832364034, 2202858817115774000, 27496500075031680], 'label': '2048.cqm.16._.KT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.KT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.KT', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427837
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 124442244695679, 1980598492144166904, 27475552499010030, 6402554290097334, 872709925102073863, 2202858817115774000], 'label': '2048.cqm.16._.KU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.KU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.KU', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427838
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 27475552499010030, 2202858817115774000, 106040900676486, 872709925102073863, 6402554290097334], 'label': '2048.cqm.16._.KV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.KV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.KV', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427839
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 124442244695679, 1980598492144166904, 872694139074127638, 27475552499010030, 6402554290097334, 2202858817115774000], 'label': '2048.cqm.16._.KW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.KW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.KW', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427840
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 27432399120806406, 1980598492144166904, 27475552499010030, 6402554290097334, 872698062598414182, 19709062341273, 2202858817115774000, 952123012202507306], 'label': '2048.cqm.4._.CI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.CI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.CI', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427841
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 27475552499010030, 2202858817115774000, 106040900676486, 872694139074127638, 6402554290097334], 'label': '2048.cqm.16._.KX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.KX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.KX', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427842
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 27475552499010030, 2202858817115774000, 27512198413390233, 872709925102073863, 6402554290097334], 'label': '2048.cqm.16._.KY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.KY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.KY', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427843
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 27475552499010030, 2202858817115774000, 27512198413390233, 872694139074127638, 6402554290097334], 'label': '2048.cqm.16._.KZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.KZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.KZ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427844
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 27475552499010030, 2202858817115774000, 872709925102073863, 27496500075031680, 6402554290097334], 'label': '2048.cqm.16._.LA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.LA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.LA', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427845
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 27475552499010030, 2202858817115774000, 872694139074127638, 27496500075031680, 6402554290097334], 'label': '2048.cqm.16._.LB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.LB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.LB', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427846
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 6422263352438607, 2202858817115774000, 708722948040923330, 1445770956979819950, 1405954962621861654, 708806657802767544], 'label': '2048.cqm.16._.LC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.LC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.LC', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427847
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 6422263352438607, 2202858817115774000, 952054988251263650, 1445770956979819950, 1405954962621861654, 708806657802767544], 'label': '2048.cqm.16._.LD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.LD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.LD', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427848
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 952117781490112106, 6422263352438607, 2202858817115774000, 708722948040923330, 1445770956979819950, 1405954962621861654], 'label': '2048.cqm.16._.LE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.LE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.LE', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427849
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 952117781490112106, 6422263352438607, 2202858817115774000, 952054988251263650, 1445770956979819950, 1405954962621861654], 'label': '2048.cqm.16._.LF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.LF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.LF', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427850
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 2202858817115774000, 708722948040923330, 1445770956979819950, 1405954962621861654, 708806657802767544], 'label': '2048.cqm.16._.LG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.LG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.LG', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427851
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 27475552499010030, 2202858817115774000, 872698062598414182, 952054988251263650, 952123012202507306, 6402554290097334], 'label': '2048.cqm.4._.CJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.CJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.CJ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427852
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 2202858817115774000, 952054988251263650, 1445770956979819950, 1405954962621861654, 708806657802767544], 'label': '2048.cqm.16._.LH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.LH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.LH', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427853
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 952117781490112106, 2202858817115774000, 708722948040923330, 1445770956979819950, 1405954962621861654], 'label': '2048.cqm.16._.LI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.LI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.LI', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427854
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 952117781490112106, 2202858817115774000, 952054988251263650, 1445770956979819950, 1405954962621861654], 'label': '2048.cqm.16._.LJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.LJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.LJ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427855
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 952069379426182637, 27475552499010030, 6402554290097334, 952132172669068229, 2202858817115774000], 'label': '2048.cqm.16._.LK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.LK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.LK', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427856
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 27432399120806406, 1980598492144166904, 27475552499010030, 6402554290097334, 27512198413390233, 2202858817115774000], 'label': '2048.cqm.16._.LL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.LL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.LL', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427857
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 918327727608869882, 1980598492144166904, 27475552499010030, 6402554290097334, 19709062341273, 2202858817115774000], 'label': '2048.cqm.16._.LM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.LM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.LM', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427858
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27475552499010030, 27449405176750719, 6402554290097334, 2202858817115774000, 872814563880775637], 'label': '2048.cqm.16._.LN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.LN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.LN', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427859
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [27432399120806406, 1412357423505517920, 1980598492144166904, 27475552499010030, 6402554290097334, 2202858817115774000, 872814563880775637], 'label': '2048.cqm.16._.LO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.LO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.LO', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427860
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27475552499010030, 952054988251263650, 6402554290097334, 952132172669068229, 2202858817115774000], 'label': '2048.cqm.16._.LP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.LP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.LP', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427861
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 27449405176750719, 872798777849528330, 27475552499010030, 2202858817115774000, 6402554290097334], 'label': '2048.cqm.16._.LQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.LQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.LQ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427862
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27475552499010030, 6402554290097334, 872698062598414182, 19709062341273, 27436328447544733, 2202858817115774000, 952123012202507306], 'label': '2048.cqm.4._.CK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.CK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.CK', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427863
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 27432399120806406, 1980598492144166904, 27475552499010030, 6402554290097334, 872798777849528330, 2202858817115774000], 'label': '2048.cqm.16._.LR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.LR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.LR', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427864
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1864266978076908048, 1445812795928976966, 1412371901815177593, 2202858817115774000, 1445770956979819950, 6402554290097334], 'label': '2048.cqm.16._.LS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.LS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.LS', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427865
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1864266978076908048, 1412371901815177593, 2202858817115774000, 1445770956979819950, 27432399120806406, 6402554290097334], 'label': '2048.cqm.16._.LT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.LT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.LT', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427866
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 952117781490112106, 952069379426182637, 27475552499010030, 2202858817115774000, 6402554290097334], 'label': '2048.cqm.16._.LU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.LU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.LU', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427867
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 952117781490112106, 1445812795928976966, 1412371901815177593, 2202858817115774000, 1445770956979819950, 6402554290097334], 'label': '2048.cqm.16._.LV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.LV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.LV', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427868
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 952117781490112106, 1412371901815177593, 2202858817115774000, 1445770956979819950, 27432399120806406, 6402554290097334], 'label': '2048.cqm.16._.LW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.LW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.LW', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427869
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 1864266978076908048, 1445812795928976966, 2202858817115774000, 1445770956979819950, 6402554290097334], 'label': '2048.cqm.16._.LX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.LX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.LX', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427870
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 1864266978076908048, 2202858817115774000, 1445770956979819950, 27432399120806406, 6402554290097334], 'label': '2048.cqm.16._.LY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.LY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.LY', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427871
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 952117781490112106, 27475552499010030, 2202858817115774000, 952054988251263650, 6402554290097334], 'label': '2048.cqm.16._.LZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.LZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.LZ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427872
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 952117781490112106, 1445812795928976966, 2202858817115774000, 1445770956979819950, 6402554290097334], 'label': '2048.cqm.16._.MA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.MA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.MA', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427873
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 27475552499010030, 2202858817115774000, 872698062598414182, 952123012202507306, 952060218963295850, 6402554290097334], 'label': '2048.cqm.4._.CL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.CL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.CL', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427874
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 952117781490112106, 2202858817115774000, 1445770956979819950, 27432399120806406, 6402554290097334], 'label': '2048.cqm.16._.MB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.MB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.MB', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427875
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27475552499010030, 27449405176750719, 6402554290097334, 952132172669068229, 2202858817115774000], 'label': '2048.cqm.16._.MC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.MC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.MC', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427876
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 27475552499010030, 2202858817115774000, 106040900676486, 6402554290097334], 'label': '2048.cqm.16._.MD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.MD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.MD', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427877
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 39945647237045814, 6422263352438607, 27475552499010030, 2202858817115774000, 708722948040923330, 1405954962621861654], 'label': '2048.cqm.16._.ME', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.ME', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.ME', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427878
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 39945647237045814, 6422263352438607, 27475552499010030, 2202858817115774000, 952054988251263650, 1405954962621861654], 'label': '2048.cqm.16._.MF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.MF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.MF', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427879
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 6422263352438607, 27475552499010030, 2202858817115774000, 708722948040923330, 27496500075031680, 1405954962621861654], 'label': '2048.cqm.16._.MG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.MG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.MG', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427880
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 6422263352438607, 27475552499010030, 2202858817115774000, 952054988251263650, 27496500075031680, 1405954962621861654], 'label': '2048.cqm.16._.MH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.MH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.MH', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427881
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 39945647237045814, 27475552499010030, 2202858817115774000, 708722948040923330, 1405954962621861654], 'label': '2048.cqm.16._.MI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.MI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.MI', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427882
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 39945647237045814, 27475552499010030, 2202858817115774000, 952054988251263650, 1405954962621861654], 'label': '2048.cqm.16._.MJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.MJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.MJ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427883
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 27475552499010030, 2202858817115774000, 708722948040923330, 27496500075031680, 1405954962621861654], 'label': '2048.cqm.16._.MK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.MK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.MK', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427884
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 27432399120806406, 1980598492144166904, 27475552499010030, 6402554290097334, 857420946617059946, 19709062341273, 2202858817115774000, 95013810648341670], 'label': '2048.cqm.4._.CM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.CM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.CM', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427885
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 19709062341273, 27475552499010030, 2202858817115774000, 952054988251263650, 27496500075031680, 1405954962621861654], 'label': '2048.cqm.16._.ML', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.ML', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.ML', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427886
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 952069379426182637, 27475552499010030, 2202858817115774000, 27512198413390233, 6402554290097334], 'label': '2048.cqm.16._.MM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.MM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.MM', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427887
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 27475552499010030, 2202858817115774000, 73783831265523607, 6402554290097334], 'label': '2048.cqm.16._.MN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.MN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.MN', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427888
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 27475552499010030, 2202858817115774000, 95124994561138351, 6402554290097334], 'label': '2048.cqm.16._.MO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.MO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.MO', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427889
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 27449405176750719, 27475552499010030, 2202858817115774000, 27496500075031680, 6402554290097334], 'label': '2048.cqm.16._.MP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.MP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.MP', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427890
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [27432399120806406, 1412357423505517920, 1980598492144166904, 27475552499010030, 6402554290097334, 952132172669068229, 2202858817115774000], 'label': '2048.cqm.16._.MQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.MQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.MQ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427891
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 27475552499010030, 2202858817115774000, 27512198413390233, 952054988251263650, 6402554290097334], 'label': '2048.cqm.16._.MR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.MR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.MR', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427892
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 111359288509213, 1980598492144166904, 27475552499010030, 6402554290097334, 19709062341273, 2202858817115774000], 'label': '2048.cqm.16._.MS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.MS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.MS', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427893
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 27475552499010030, 2202858817115774000, 918227012356645418, 6402554290097334], 'label': '2048.cqm.16._.MT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.MT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.MT', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427894
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 27475552499010030, 2202858817115774000, 872698062598414182, 6402554290097334], 'label': '2048.cqm.16._.MU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.MU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.MU', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427895
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 27475552499010030, 2202858817115774000, 857420946617059946, 106040900676486, 95013810648341670, 6402554290097334], 'label': '2048.cqm.4._.CN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.CN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.CN', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427896
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 27475552499010030, 2202858817115774000, 952060218963295850, 6402554290097334], 'label': '2048.cqm.16._.MV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.MV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.MV', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427897
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 952069379426182637, 27475552499010030, 2202858817115774000, 27496500075031680, 6402554290097334], 'label': '2048.cqm.16._.MW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.MW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.MW', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427898
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 27449405176750719, 952117781490112106, 27475552499010030, 2202858817115774000, 6402554290097334], 'label': '2048.cqm.16._.MX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.MX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.MX', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427899
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 27432399120806406, 1980598492144166904, 27475552499010030, 6402554290097334, 2202858817115774000, 27496500075031680], 'label': '2048.cqm.16._.MY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.MY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.MY', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427900
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 27475552499010030, 2202858817115774000, 918223088832364034, 6402554290097334], 'label': '2048.cqm.16._.MZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.MZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.MZ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427901
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27475552499010030, 6402554290097334, 19709062341273, 2202858817115774000, 73679198673551767], 'label': '2048.cqm.16._.NA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.NA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.NA', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427902
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 27475552499010030, 2202858817115774000, 952054988251263650, 27496500075031680, 6402554290097334], 'label': '2048.cqm.16._.NB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.NB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.NB', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427903
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 27475552499010030, 2202858817115774000, 95020355265755311, 6402554290097334], 'label': '2048.cqm.16._.NC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.NC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.NC', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427904
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 27432399120806406, 1980598492144166904, 27475552499010030, 6402554290097334, 952117781490112106, 2202858817115774000], 'label': '2048.cqm.16._.ND', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.ND', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.ND', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427905
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27475552499010030, 6402554290097334, 19709062341273, 27436328447544733, 2202858817115774000], 'label': '2048.cqm.16._.NE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.NE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.NE', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427906
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1412357423505517920, 1980598492144166904, 27475552499010030, 6402554290097334, 857420946617059946, 19709062341273, 27436328447544733, 2202858817115774000, 95013810648341670], 'label': '2048.cqm.4._.CO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.CO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.CO', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427907
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 27449405176750719, 27475552499010030, 2202858817115774000, 95030904350651437, 6402554290097334], 'label': '2048.cqm.16._.NF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.NF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.NF', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427908
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 39924699659940486, 6422263352438607, 2202858817115774000, 6508588484706030, 614088906406724664], 'label': '2048.cqm.16._.NG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.NG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.NG', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427909
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 39924699659940486, 6422263352438607, 2202858817115774000, 106040900676486, 614088906406724664], 'label': '2048.cqm.16._.NH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.NH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.NH', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427910
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 39924699659940486, 6422263352438607, 2202858817115774000, 857420946617059946, 6508588484706030], 'label': '2048.cqm.16._.NI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.NI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.NI', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427911
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 39924699659940486, 6422263352438607, 2202858817115774000, 857420946617059946, 106040900676486], 'label': '2048.cqm.16._.NJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.NJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.NJ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 164427912
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 39924699659940486, 2202858817115774000, 6508588484706030, 614088906406724664], 'label': '2048.cqm.16._.NK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.NK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.NK', 'subgroup_fusion': None, 'weyl_group': None}
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id: 164427913
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 39924699659940486, 2202858817115774000, 106040900676486, 614088906406724664], 'label': '2048.cqm.16._.NL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.NL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.NL', 'subgroup_fusion': None, 'weyl_group': None}
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id: 164427914
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 39924699659940486, 2202858817115774000, 857420946617059946, 6508588484706030], 'label': '2048.cqm.16._.NM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.NM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.NM', 'subgroup_fusion': None, 'weyl_group': None}
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id: 164427915
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1980598492144166904, 1412357423505517920, 19709062341273, 39924699659940486, 2202858817115774000, 857420946617059946, 106040900676486], 'label': '2048.cqm.16._.NN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.NN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.NN', 'subgroup_fusion': None, 'weyl_group': None}
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id: 164427916
{'ambient': '2048.cqm', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [124442244695679, 1412357423505517920, 1980598492144166904, 27475552499010030, 6402554290097334, 857436732645006149, 2202858817115774000], 'label': '2048.cqm.16._.NO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.NO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.NO', 'subgroup_fusion': None, 'weyl_group': None}
