Query:
/api/gps_groups/?_offset=0
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '80.45', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 4, 'aut_exponent': 60, 'aut_gen_orders': [4, 4, 12, 2, 60], 'aut_gens': [[1, 2, 40], [621, 518, 280], [21, 843, 301], [600, 723, 541], [620, 1039, 1061], [621, 646, 661]], 'aut_group': None, 'aut_hash': 7196069784989913445, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 92160, 'aut_permdeg': 124, 'aut_perms': [613087717892375850752684942710355862099338357228515441659327092725294904700456059530877763118468863369906039353991907673765971614757809033250984991704816578808894366539264049030022252479643153974989023000897, 772081329358186471083211497774826572543597597844954429285799219407805580415012049317776749287259308249163482906964859472531089839405259785012429638021618660419636343459474422297359901548029458540282145612043, 917635082205986385258920300279245317774099406622216523843810847315285381925627288119132866751754621650138975534356394783026024505642571678996901895524799345463332142287835091328049823232263767308081258228858, 385685210587376451628763321766030330733366867081007670320889242254802844495607835857545967777219643721466838887303842810376155270223010081602681965509172780528931534187480810227032509026686575618753234687395, 1220321696273228724211130607558605476815665381844021681182006724523904765270113815434944018275235004834627627706635237885356408750313552342084272062961048576732490145231238408285272361258332736958501153010722], 'aut_phi_ratio': 288.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 1, 6, 1], [3, 2, 1, 1], [4, 15, 8, 1], [5, 1, 4, 1], [5, 2, 2, 1], [5, 2, 8, 1], [6, 2, 1, 1], [6, 2, 6, 1], [10, 1, 4, 1], [10, 1, 24, 1], [10, 2, 2, 1], [10, 2, 8, 1], [10, 2, 12, 1], [10, 2, 48, 1], [15, 2, 4, 2], [15, 2, 16, 1], [20, 15, 32, 1], [30, 2, 4, 2], [30, 2, 16, 1], [30, 2, 24, 2], [30, 2, 96, 1]], 'aut_supersolvable': False, 'aut_tex': 'C_2^3.(C_{30}\\times A_4).C_2^4.C_2', 'autcent_abelian': False, 'autcent_cyclic': False, 'autcent_exponent': 12, 'autcent_group': '768.1090064', 'autcent_hash': 1090064, 'autcent_nilpotent': False, 'autcent_order': 768, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': False, 'autcent_tex': 'C_4\\times C_2^3:S_4', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 60, 'autcentquo_group': '120.36', 'autcentquo_hash': 36, 'autcentquo_nilpotent': False, 'autcentquo_order': 120, 'autcentquo_solvable': True, 'autcentquo_supersolvable': True, 'autcentquo_tex': 'S_3\\times F_5', 'cc_stats': [[1, 1, 1], [2, 1, 7], [3, 2, 1], [4, 15, 8], [5, 1, 4], [5, 2, 10], [6, 2, 7], [10, 1, 28], [10, 2, 70], [15, 2, 24], [20, 15, 32], [30, 2, 168]], 'center_label': '40.14', 'center_order': 40, 'central_product': True, 'central_quotient': '30.3', 'commutator_count': 1, 'commutator_label': '15.1', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '2.1', '2.1', '3.1', '5.1', '5.1'], 'composition_length': 7, 'conjugacy_classes_known': True, 'counter': 923, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [['2.1', 2], ['5.1', 1], ['60.3', 1]], 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 7], [3, 2, 1, 1], [4, 15, 2, 4], [5, 1, 4, 1], [5, 2, 2, 1], [5, 2, 4, 2], [6, 2, 1, 7], [10, 1, 4, 7], [10, 2, 2, 7], [10, 2, 4, 14], [15, 2, 4, 2], [15, 2, 8, 2], [20, 15, 8, 4], [30, 2, 4, 14], [30, 2, 8, 14]], 'element_repr_type': 'PC', 'elementary': 1, 'eulerian_function': 5208, 'exponent': 60, 'exponents_of_order': [4, 2, 1], 'factors_of_aut_order': [2, 3, 5], 'factors_of_order': [2, 3, 5], 'faithful_reps': [], 'familial': False, 'frattini_label': '2.1', 'frattini_quotient': '600.203', 'hash': 923, 'hyperelementary': 1, 'id': 169296, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 30, 'inner_gen_orders': [1, 2, 15], 'inner_gens': [[1, 2, 40], [1, 2, 1160], [1, 82, 40]], 'inner_hash': 3, 'inner_nilpotent': False, 'inner_order': 30, 'inner_split': True, 'inner_tex': 'D_{15}', 'inner_used': [2, 3], 'irrC_degree': -1, 'irrQ_degree': -1, 'irrQ_dim': -1, 'irrR_degree': -1, 'irrep_stats': [[1, 80], [2, 280]], 'label': '1200.923', 'linC_count': None, 'linC_degree': None, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': None, 'linQ_degree_count': None, 'linQ_dim': None, 'linQ_dim_count': None, 'linR_count': None, 'linR_degree': None, 'maximal_subgroups_known': True, 'metabelian': True, 'metacyclic': False, 'monomial': True, 'name': 'C10^2.D6', 'ngens': 7, 'nilpotency_class': -1, 'nilpotent': False, 'normal_counts': [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 26, 'number_characteristic_subgroups': 26, 'number_conjugacy_classes': 360, 'number_divisions': 88, 'number_normal_subgroups': 150, 'number_subgroup_autclasses': 84, 'number_subgroup_classes': 280, 'number_subgroups': 784, 'old_label': None, 'order': 1200, 'order_factorization_type': 321, 'order_stats': [[1, 1], [2, 7], [3, 2], [4, 120], [5, 24], [6, 14], [10, 168], [15, 48], [20, 480], [30, 336]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': True, 'outer_exponent': 12, 'outer_gen_orders': [4, 4, 2, 12], 'outer_gen_pows': [0, 0, 0, 0], 'outer_gens': [[21, 14, 440], [620, 27, 1041], [1, 622, 440], [621, 7, 1141]], 'outer_group': None, 'outer_hash': 4658869075538623801, 'outer_nilpotent': False, 'outer_order': 3072, 'outer_permdeg': 16, 'outer_perms': [1321086780857, 8034294199697, 2877362616367, 1676629353720], 'outer_solvable': True, 'outer_supersolvable': False, 'outer_tex': 'C_2^3:A_4.C_2^2.C_2^3', 'pc_rank': 3, 'perfect': False, 'permutation_degree': 21, 'pgroup': 0, 'primary_abelian_invariants': [2, 2, 4, 5], 'quasisimple': False, 'rank': 3, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 8], [2, 12], [4, 16], [8, 36], [16, 16]], 'representations': {'PC': {'code': 19748055474384388502267198537927, 'gens': [1, 2, 5], 'pres': [7, -2, -2, -2, -5, -2, -3, -5, 36, 58, 20311, 102, 23532, 166, 23533]}, 'GLZN': {'d': 2, 'p': 66, 'gens': [7187425, 287521, 6612431, 289675, 288949, 12362371, 3294907]}, 'Perm': {'d': 21, 'gens': [2446777753349897670, 289, 5329, 5250034053358617600, 288, 3991680, 7665149074781721600]}}, 'schur_multiplier': [2, 2, 2], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 2, 20], 'solvability_type': 7, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'C_{10}^2.D_6', 'transitive_degree': 240, 'wreath_data': None, 'wreath_product': False}