Query:
/api/gps_groups/?_offset=0
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '8.5', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 2, 'aut_exponent': 60, 'aut_gen_orders': [6, 4, 2, 10, 2, 6, 12, 10, 4], 'aut_gens': [[1, 2, 4, 8], [401, 166, 4, 152], [5, 294, 4, 344], [325, 470, 4, 236], [5, 146, 4, 12], [165, 454, 4, 236], [325, 134, 4, 152], [81, 86, 4, 348], [5, 390, 4, 88], [1, 338, 4, 188]], 'aut_group': None, 'aut_hash': 814302305876374217, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 7680, 'aut_permdeg': 36, 'aut_perms': [354618608291552645675402997951573821166959, 281598574912209897398481647743068610994406, 282189386178521437253322220823886892937527, 286026968049692418949721806071318778578002, 310513496320266967944392980195604588165284, 310514285182272049318549330698225084145565, 366123199105008727894759451773618462587574, 327924394892039578780792441178464310055481, 61096686223297473101066066274428284879280], 'aut_phi_ratio': 60.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 3], [2, 30, 2, 1], [3, 2, 1, 1], [4, 4, 1, 1], [4, 6, 2, 1], [4, 10, 2, 1], [4, 12, 1, 1], [4, 20, 1, 1], [4, 60, 1, 1], [5, 2, 2, 1], [6, 2, 1, 3], [10, 2, 2, 3], [12, 4, 2, 1], [12, 20, 2, 2], [15, 4, 2, 1], [20, 4, 4, 1], [20, 12, 4, 2], [30, 4, 2, 3], [60, 4, 8, 1]], 'aut_supersolvable': True, 'aut_tex': 'C_2^6\\times S_3\\times F_5', 'autcent_abelian': True, 'autcent_cyclic': False, 'autcent_exponent': 2, 'autcent_group': '64.267', 'autcent_hash': 267, 'autcent_nilpotent': True, 'autcent_order': 64, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': True, 'autcent_tex': 'C_2^6', '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, 3], [2, 30, 2], [3, 2, 1], [4, 4, 1], [4, 6, 2], [4, 10, 2], [4, 12, 1], [4, 20, 1], [4, 60, 1], [5, 2, 2], [6, 2, 3], [10, 2, 6], [12, 4, 2], [12, 20, 4], [15, 4, 2], [20, 4, 4], [20, 12, 8], [30, 4, 6], [60, 4, 8]], 'center_label': '4.2', 'center_order': 4, 'central_product': False, 'central_quotient': '120.42', 'commutator_count': 1, 'commutator_label': '60.13', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '2.1', '2.1', '2.1', '3.1', '5.1'], 'composition_length': 7, 'conjugacy_classes_known': True, 'counter': 500, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [], 'direct_product': False, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 3], [2, 30, 1, 2], [3, 2, 1, 1], [4, 4, 1, 1], [4, 6, 1, 2], [4, 10, 2, 1], [4, 12, 1, 1], [4, 20, 1, 1], [4, 60, 1, 1], [5, 2, 2, 1], [6, 2, 1, 3], [10, 2, 2, 3], [12, 4, 2, 1], [12, 20, 2, 2], [15, 4, 2, 1], [20, 4, 4, 1], [20, 12, 2, 2], [20, 12, 4, 1], [30, 4, 2, 3], [60, 4, 8, 1]], 'element_repr_type': 'PC', 'elementary': 1, 'eulerian_function': 4032, 'exponent': 60, 'exponents_of_order': [5, 1, 1], 'factors_of_aut_order': [2, 3, 5], 'factors_of_order': [2, 3, 5], 'faithful_reps': [], 'familial': False, 'frattini_label': '4.2', 'frattini_quotient': '120.42', 'hash': 500, 'hyperelementary': 2, 'id': 129321, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 30, 'inner_gen_orders': [2, 2, 1, 30], 'inner_gens': [[1, 2, 4, 88], [1, 2, 4, 236], [1, 2, 4, 8], [401, 262, 4, 8]], 'inner_hash': 42, 'inner_nilpotent': False, 'inner_order': 120, 'inner_split': True, 'inner_tex': 'S_3\\times D_{10}', 'inner_used': [1, 2, 4], 'irrC_degree': -1, 'irrQ_degree': -1, 'irrQ_dim': -1, 'irrR_degree': -1, 'irrep_stats': [[1, 8], [2, 30], [4, 22]], 'label': '480.500', 'linC_count': 32, 'linC_degree': 4, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': 10, 'linQ_degree_count': 80, 'linQ_dim': 12, 'linQ_dim_count': 117, 'linR_count': 8, 'linR_degree': 6, 'maximal_subgroups_known': True, 'metabelian': True, 'metacyclic': False, 'monomial': True, 'name': 'D30:Q8', '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], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 30, 'number_characteristic_subgroups': 44, 'number_conjugacy_classes': 60, 'number_divisions': 33, 'number_normal_subgroups': 50, 'number_subgroup_autclasses': 128, 'number_subgroup_classes': 148, 'number_subgroups': 780, 'old_label': None, 'order': 480, 'order_factorization_type': 311, 'order_stats': [[1, 1], [2, 63], [3, 2], [4, 128], [5, 4], [6, 6], [10, 12], [12, 88], [15, 8], [20, 112], [30, 24], [60, 32]], 'outer_abelian': True, 'outer_cyclic': False, 'outer_equivalence': False, 'outer_exponent': 4, 'outer_gen_orders': [2, 2, 2, 2, 4], 'outer_gen_pows': [0, 0, 0, 0, 0], 'outer_gens': [[1, 2, 4, 328], [5, 2, 4, 8], [241, 2, 4, 8], [1, 242, 4, 8], [1, 2, 4, 296]], 'outer_group': '64.260', 'outer_hash': 260, 'outer_nilpotent': True, 'outer_order': 64, 'outer_permdeg': 12, 'outer_perms': [127, 39916800, 362880, 5040, 17], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'C_2^4\\times C_4', 'pc_rank': 4, 'perfect': False, 'permutation_degree': 20, 'pgroup': 0, 'primary_abelian_invariants': [2, 2, 2], 'quasisimple': False, 'rank': 3, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 8], [2, 8], [4, 7], [8, 7], [16, 3]], 'representations': {'PC': {'code': 4310008959936876933011467833517479444487, 'gens': [1, 2, 3, 4], 'pres': [7, -2, -2, -2, 2, -2, -3, -5, 1680, 2467, 3314, 80, 6164, 8131, 102, 14789, 9420, 166, 9421]}, 'GLZN': {'d': 2, 'p': 66, 'gens': [6612431, 433456, 14195425, 980031, 11174576, 2331376, 12362371]}, 'Perm': {'d': 20, 'gens': [135936679803729961, 135936679807353607, 263295183882931216, 392327162440012807, 392327162440012800, 43545600, 50520]}}, 'schur_multiplier': [2, 2], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 2, 2], 'solvability_type': 7, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'D_{30}:Q_8', 'transitive_degree': 240, 'wreath_data': None, 'wreath_product': False}