Query:
/api/gps_groups/?_offset=0
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '4.2', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 3, 'aut_exponent': 120, 'aut_gen_orders': [6, 8, 12, 24, 2], 'aut_gens': [[224189, 45507, 63975, 219574, 93924338623, 3812640, 257443], [281995, 80884, 68681, 138690, 461761276636, 998277573, 232179], [224189, 321987, 63975, 184197, 287484530623, 375138106335, 257443], [40892, 357364, 298904, 321987, 7188891606, 442641064349, 188355], [317372, 184197, 342806, 219574, 354944007276, 462320092201, 254656], [40892, 80884, 152824, 321987, 105859617779, 1480550998, 349603]], 'aut_group': None, 'aut_hash': 4648263275506320880, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 207360, 'aut_permdeg': 378, 'aut_perms': 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41069697848656119108396398973307149552850334353582540624009600762298919340081400904729613780030472080088942567283366452805404911429335486476280253372436466228500486600699170141310844792163758863990274286208194814510914151499397722487620709676685697060778031962701236796454340171382002054785323358788972871411939949226358468317364097552012738822430577351414488003676389301964651709982090264800003072894834981527207106308919201925143772985717191057338111577365843872809584411126793868837242211264073826058249238914067437602603136289745396648578120316021005499045955460746929654968045955564366954126688820320835301077931740829206092824161100296931767605633147014929924152561448016497747078024331090675437050673036255109892179151155350273982001629475508400842457677991868383757930982927556973060931327753951225961855], 'aut_phi_ratio': 15.0, 'aut_solvable': False, 'aut_stats': [[1, 1, 1, 1], [2, 9, 1, 1], [2, 45, 1, 1], [2, 180, 2, 1], [2, 405, 1, 1], [3, 8, 1, 1], [3, 40, 2, 1], [3, 320, 2, 1], [4, 18, 1, 1], [4, 90, 1, 1], [4, 540, 2, 1], [4, 810, 1, 2], [4, 1080, 1, 1], [4, 1620, 1, 1], [4, 3240, 1, 1], [5, 144, 1, 1], [6, 360, 1, 1], [6, 360, 2, 2], [6, 1440, 2, 1], [6, 2880, 2, 1], [8, 18, 1, 2], [8, 810, 1, 2], [8, 1620, 1, 2], [10, 1296, 1, 1], [12, 720, 1, 1], [12, 720, 2, 1], [12, 2160, 1, 1], [12, 4320, 2, 1], [15, 1152, 1, 1], [20, 1296, 2, 1], [24, 720, 2, 2], [40, 1296, 2, 2]], 'aut_supersolvable': False, 'aut_tex': '\\PSU(3,2):C_2.A_6.C_2^2', 'autcent_abelian': True, 'autcent_cyclic': True, 'autcent_exponent': 1, 'autcent_group': '1.1', 'autcent_hash': 1, 'autcent_nilpotent': True, 'autcent_order': 1, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': True, 'autcent_tex': 'C_1', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 120, 'autcentquo_group': None, 'autcentquo_hash': 4648263275506320880, 'autcentquo_nilpotent': False, 'autcentquo_order': 207360, 'autcentquo_solvable': False, 'autcentquo_supersolvable': False, 'autcentquo_tex': '\\PSU(3,2):C_2.A_6.C_2^2', 'cc_stats': [[1, 1, 1], [2, 9, 1], [2, 45, 1], [2, 180, 2], [2, 405, 1], [3, 8, 1], [3, 40, 2], [3, 320, 2], [4, 18, 1], [4, 90, 1], [4, 540, 2], [4, 810, 2], [4, 1080, 1], [4, 1620, 1], [4, 3240, 1], [5, 144, 1], [6, 360, 5], [6, 1440, 2], [6, 2880, 2], [8, 18, 2], [8, 810, 2], [8, 1620, 2], [10, 1296, 1], [12, 720, 3], [12, 2160, 1], [12, 4320, 2], [15, 1152, 1], [20, 1296, 2], [24, 720, 4], [40, 1296, 4]], 'center_label': '1.1', 'center_order': 1, 'central_product': False, 'central_quotient': '51840.bb', 'commutator_count': 1, 'commutator_label': '12960.bb', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '2.1', '2.1', '3.1', '3.1', '360.118'], 'composition_length': 7, 'conjugacy_classes_known': True, 'counter': 28, 'cyclic': False, 'derived_length': 3, 'dihedral': False, 'direct_factorization': [], 'direct_product': False, 'div_stats': [[1, 1, 1, 1], [2, 9, 1, 1], [2, 45, 1, 1], [2, 180, 1, 2], [2, 405, 1, 1], [3, 8, 1, 1], [3, 40, 1, 2], [3, 320, 1, 2], [4, 18, 1, 1], [4, 90, 1, 1], [4, 540, 1, 2], [4, 810, 1, 2], [4, 1080, 1, 1], [4, 1620, 1, 1], [4, 3240, 1, 1], [5, 144, 1, 1], [6, 360, 1, 5], [6, 1440, 1, 2], [6, 2880, 1, 2], [8, 18, 2, 1], [8, 810, 2, 1], [8, 1620, 2, 1], [10, 1296, 1, 1], [12, 720, 1, 3], [12, 2160, 1, 1], [12, 4320, 1, 2], [15, 1152, 1, 1], [20, 1296, 2, 1], [24, 720, 2, 2], [40, 1296, 4, 1]], 'element_repr_type': 'Perm', 'elementary': 1, 'eulerian_function': 2544, 'exponent': 120, 'exponents_of_order': [7, 4, 1], 'factors_of_aut_order': [2, 3, 5], 'factors_of_order': [2, 3, 5], 'faithful_reps': [[40, 1, 4], [72, 1, 2], [80, 1, 2], [128, 1, 1]], 'familial': False, 'frattini_label': '1.1', 'frattini_quotient': '51840.bb', 'hash': 7027567246814722481, 'hyperelementary': 1, 'id': 470006, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 120, 'inner_gen_orders': [2, 3, 4, 3, 40, 2, 8], 'inner_gens': [[224189, 80884, 63975, 321987, 93924338623, 3812640, 257443], [178682, 45507, 294198, 219574, 93924435998, 3812640, 73250], [224189, 184197, 63975, 138690, 93924338623, 3669149, 257443], [5515, 45507, 20073, 219574, 93924263725, 3629398, 27320], [224189, 321987, 63975, 184197, 93924338623, 442641043935, 257443], [224189, 45507, 166153, 276480, 93968111559, 3812640, 157281], [224189, 276480, 63975, 80884, 93924338623, 3838993, 257443]], 'inner_hash': 7027567246814722481, 'inner_nilpotent': False, 'inner_order': 51840, 'inner_split': True, 'inner_tex': 'F_9:S_6', 'inner_used': [1, 2, 3, 5, 6], 'irrC_degree': 40, 'irrQ_degree': 40, 'irrQ_dim': 40, 'irrR_degree': 40, 'irrep_stats': [[1, 4], [2, 3], [5, 8], [8, 2], [9, 4], [10, 10], [16, 8], [18, 3], [20, 3], [40, 4], [72, 2], [80, 2], [128, 1]], 'label': '51840.bb', 'linC_count': 16, 'linC_degree': 13, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': 13, 'linQ_degree_count': 16, 'linQ_dim': 13, 'linQ_dim_count': 16, 'linR_count': 16, 'linR_degree': 13, 'maximal_subgroups_known': True, 'metabelian': False, 'metacyclic': False, 'monomial': False, 'name': 'F9:S6', 'ngens': 7, 'nilpotency_class': -1, 'nilpotent': False, 'normal_counts': [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 39, 'number_characteristic_subgroups': 13, 'number_conjugacy_classes': 54, 'number_divisions': 45, 'number_normal_subgroups': 13, 'number_subgroup_autclasses': 732, 'number_subgroup_classes': 1156, 'number_subgroups': 320286, 'old_label': None, 'order': 51840, 'order_factorization_type': 321, 'order_stats': [[1, 1], [2, 819], [3, 728], [4, 8748], [5, 144], [6, 10440], [8, 4896], [10, 1296], [12, 12960], [15, 1152], [20, 2592], [24, 2880], [40, 5184]], 'outer_abelian': True, 'outer_cyclic': False, 'outer_equivalence': False, 'outer_exponent': 2, 'outer_gen_orders': [2, 2], 'outer_gen_pows': [181545401353, 0], 'outer_gens': [[224189, 321987, 63975, 184197, 374622905023, 287883610335, 257443], [224189, 80884, 166153, 138690, 93924565959, 3812640, 157281]], 'outer_group': '4.2', 'outer_hash': 2, 'outer_nilpotent': True, 'outer_order': 4, 'outer_permdeg': 4, 'outer_perms': [1, 6], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'C_2^2', 'pc_rank': None, 'perfect': False, 'permutation_degree': 15, 'pgroup': 0, 'primary_abelian_invariants': [2, 2], 'quasisimple': False, 'rank': 2, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 4], [2, 1], [4, 1], [5, 8], [8, 2], [9, 4], [10, 6], [16, 2], [18, 1], [20, 3], [32, 1], [36, 1], [40, 5], [64, 1], [72, 2], [80, 2], [128, 1]], 'representations': {'Perm': {'d': 15, 'gens': [224189, 45507, 63975, 219574, 93924338623, 3812640, 257443]}}, 'schur_multiplier': [2], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 2], 'solvability_type': 13, 'solvable': False, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': False, 'sylow_subgroups_known': True, 'tex_name': 'F_9:S_6', 'transitive_degree': 54, 'wreath_data': None, 'wreath_product': False}