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': [4, 20, 4, 60, 6, 4, 12, 4], 'aut_gens': [[1, 2, 48], [1, 382, 168], [277, 50, 72], [13, 290, 168], [21, 74, 72], [269, 470, 432], [9, 406, 336], [5, 266, 432], [253, 274, 360]], 'aut_group': '2560.ec', 'aut_hash': 6851077511930830701, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 15360, 'aut_permdeg': 64, 'aut_perms': [1082206689843222594578508484865938205405481904268468922189949041053640638885366699205579, 93842257025873495195683234440751200261065173575035251291342517690462967192396951144032382, 39213280709364461552852989476866845747639040484610776665980848819422850941792524175315896, 10961764892092095801433985549371834494749742659117467938053809777249515044457330257120955, 118102229626624707367516134793283120679574143538516694170644543766219864856981804411975468, 34114632747905306218717052437219536960951975061875630044843605162407905535351325027590699, 4444914502877400924559300797896035028395334262336072216656175829261015321108691068976363, 109884502739047445542827942480285025313165262858569569640135859970228553795872492274499874], 'aut_phi_ratio': 120.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 1, 2, 1], [2, 12, 2, 1], [3, 2, 1, 1], [4, 2, 1, 2], [4, 60, 2, 1], [5, 2, 2, 1], [6, 2, 1, 1], [6, 2, 2, 1], [8, 10, 4, 1], [10, 2, 2, 1], [10, 2, 4, 1], [10, 12, 8, 1], [12, 2, 2, 2], [15, 4, 2, 1], [20, 4, 2, 2], [24, 10, 8, 1], [30, 4, 2, 1], [30, 4, 4, 1], [60, 4, 4, 2]], 'aut_supersolvable': True, 'aut_tex': 'C_2^4:D_4\\times F_5', 'autcent_abelian': False, 'autcent_cyclic': False, 'autcent_exponent': 4, 'autcent_group': '32.27', 'autcent_hash': 27, 'autcent_nilpotent': True, 'autcent_order': 32, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': True, 'autcent_tex': 'C_2^2\\wr C_2', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 60, 'autcentquo_group': '480.1197', 'autcentquo_hash': 1197, 'autcentquo_nilpotent': False, 'autcentquo_order': 480, 'autcentquo_solvable': True, 'autcentquo_supersolvable': True, 'autcentquo_tex': 'C_2\\times D_6\\times F_5', 'cc_stats': [[1, 1, 1], [2, 1, 3], [2, 12, 2], [3, 2, 1], [4, 2, 2], [4, 60, 2], [5, 2, 2], [6, 2, 3], [8, 10, 4], [10, 2, 6], [10, 12, 8], [12, 2, 4], [15, 4, 2], [20, 4, 4], [24, 10, 8], [30, 4, 6], [60, 4, 8]], 'center_label': '4.2', 'center_order': 4, 'central_product': True, 'central_quotient': '120.13', 'commutator_count': 1, 'commutator_label': '60.4', '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': 392, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [['2.1', 1], ['240.20', 1]], 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 3], [2, 12, 1, 2], [3, 2, 1, 1], [4, 2, 1, 2], [4, 60, 1, 2], [5, 2, 2, 1], [6, 2, 1, 3], [8, 10, 2, 2], [10, 2, 2, 3], [10, 12, 4, 2], [12, 2, 2, 2], [15, 4, 2, 1], [20, 4, 2, 2], [24, 10, 4, 2], [30, 4, 2, 3], [60, 4, 4, 2]], 'element_repr_type': 'PC', 'elementary': 1, 'eulerian_function': 2016, 'exponent': 120, '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': '4.1', 'frattini_quotient': '120.42', 'hash': 392, 'hyperelementary': 2, 'id': 129204, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 60, 'inner_gen_orders': [2, 12, 5], 'inner_gens': [[1, 22, 48], [29, 2, 432], [1, 98, 48]], 'inner_hash': 13, 'inner_nilpotent': False, 'inner_order': 120, 'inner_split': True, 'inner_tex': 'C_5:D_{12}', 'inner_used': [1, 2, 3], 'irrC_degree': -1, 'irrQ_degree': -1, 'irrQ_dim': -1, 'irrR_degree': -1, 'irrep_stats': [[1, 8], [2, 38], [4, 20]], 'label': '480.392', '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': 'C30:SD16', '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': 25, 'number_characteristic_subgroups': 30, 'number_conjugacy_classes': 66, 'number_divisions': 34, 'number_normal_subgroups': 52, 'number_subgroup_autclasses': 92, 'number_subgroup_classes': 136, 'number_subgroups': 668, 'old_label': None, 'order': 480, 'order_factorization_type': 311, 'order_stats': [[1, 1], [2, 27], [3, 2], [4, 124], [5, 4], [6, 6], [8, 40], [10, 108], [12, 8], [15, 8], [20, 16], [24, 80], [30, 24], [60, 32]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': False, 'outer_exponent': 4, 'outer_gen_orders': [2, 2, 2, 4, 4], 'outer_gen_pows': [12, 0, 0, 0, 0], 'outer_gens': [[253, 34, 48], [1, 34, 72], [241, 2, 48], [241, 10, 144], [265, 250, 72]], 'outer_group': '128.2154', 'outer_hash': 2154, 'outer_nilpotent': True, 'outer_order': 128, 'outer_permdeg': 12, 'outer_perms': [127, 87096366, 5167, 295, 127008126], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'C_4^2:C_2^3', 'pc_rank': 3, 'perfect': False, 'permutation_degree': 18, 'pgroup': 0, 'primary_abelian_invariants': [2, 2, 2], 'quasisimple': False, 'rank': 3, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 8], [2, 6], [4, 8], [8, 10], [16, 2]], 'representations': {'PC': {'code': 8948148985908869434898591946083368979, 'gens': [1, 2, 6], 'pres': [7, -2, -2, -2, -2, -3, -2, -5, 309, 36, 926, 58, 1123, 80, 1124, 9084, 124, 9421]}, 'GLZN': {'d': 2, 'p': 30, 'gens': [315601, 576499, 40966, 297011, 27181, 513019, 535529]}, 'Perm': {'d': 18, 'gens': [379406669241726, 68174381761920, 1, 777033521510400, 1156002822374400, 403200, 966]}}, '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': 'C_{30}:\\SD_{16}', 'transitive_degree': 240, 'wreath_data': None, 'wreath_product': False}