Query:
/api/gps_groups/?_offset=0
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '20.5', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 2, 'aut_exponent': 1320, 'aut_gen_orders': [8, 10, 20], 'aut_gens': [[1, 5, 110], [1991, 1955, 2140], [2281, 315, 1520], [671, 1345, 1975]], 'aut_group': None, 'aut_hash': 1903859940511037127, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 9583200, 'aut_permdeg': 124, 'aut_perms': [882005393106209647116484688163415656362964954503315000334988814565868745510782742897395086766163180995623067479811168264007889162264182422650014532086693154728691184686814122614787111702443556806886634344185, 102131399073601542912521214992207124765861364592209613335285393035839024700236433690999980359883671027912250812942866676940810561961165620019878741874997782606202453308427214483041000370558130682366389431502, 860022210858409388770808539120429586103567014240424603319459920127960975544376290150538778524189207845984646178108621043278439242419144451123751118175819099539874833201277614232944160518477303405228933122803], 'aut_phi_ratio': 10890.0, 'aut_solvable': False, 'aut_stats': [[1, 1, 1, 1], [2, 1, 3, 1], [5, 121, 1, 4], [10, 121, 3, 4], [11, 5, 24, 1], [22, 5, 72, 1]], 'aut_supersolvable': False, 'aut_tex': 'S_3\\times C_{11}^2.C_{10}.\\PSL(2,11).C_2', 'autcent_abelian': False, 'autcent_cyclic': False, 'autcent_exponent': 6, 'autcent_group': '6.1', 'autcent_hash': 1, 'autcent_nilpotent': False, 'autcent_order': 6, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': True, 'autcent_tex': 'S_3', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 1320, 'autcentquo_group': '1597200.a', 'autcentquo_hash': 6850908737282390520, 'autcentquo_nilpotent': False, 'autcentquo_order': 1597200, 'autcentquo_solvable': False, 'autcentquo_supersolvable': False, 'autcentquo_tex': 'C_{11}^2.\\GL(2,11)', 'cc_stats': [[1, 1, 1], [2, 1, 3], [5, 121, 4], [10, 121, 12], [11, 5, 24], [22, 5, 72]], 'center_label': '4.2', 'center_order': 4, 'central_product': True, 'central_quotient': '605.4', 'commutator_count': 1, 'commutator_label': '121.2', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '5.1', '11.1', '11.1'], 'composition_length': 5, 'conjugacy_classes_known': True, 'counter': 39, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [['2.1', 2], ['605.4', 1]], 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 3], [5, 121, 4, 1], [10, 121, 4, 3], [11, 5, 2, 12], [22, 5, 2, 36]], 'element_repr_type': 'PC', 'elementary': 1, 'eulerian_function': 868, 'exponent': 110, 'exponents_of_order': [2, 2, 1], 'factors_of_aut_order': [2, 3, 5, 11], 'factors_of_order': [2, 5, 11], 'faithful_reps': [], 'familial': False, 'frattini_label': '1.1', 'frattini_quotient': '2420.bm', 'hash': 1895537671854981774, 'hyperelementary': 1, 'id': 400580, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 55, 'inner_gen_orders': [5, 11, 11], 'inner_gens': [[1, 45, 990], [71, 5, 110], [1541, 5, 110]], 'inner_hash': 4, 'inner_nilpotent': False, 'inner_order': 605, 'inner_split': True, 'inner_tex': 'C_{11}^2:C_5', 'inner_used': [1, 2, 3], 'irrC_degree': -1, 'irrQ_degree': -1, 'irrQ_dim': -1, 'irrR_degree': -1, 'irrep_stats': [[1, 20], [5, 96]], 'label': '2420.bm', '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': 'C22^2:C5', 'ngens': 5, '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], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 12, 'number_characteristic_subgroups': 6, 'number_conjugacy_classes': 116, 'number_divisions': 56, 'number_normal_subgroups': 75, 'number_subgroup_autclasses': 18, 'number_subgroup_classes': 140, 'number_subgroups': 1340, 'old_label': None, 'order': 2420, 'order_factorization_type': 222, 'order_stats': [[1, 1], [2, 3], [5, 484], [10, 1452], [11, 120], [22, 360]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': True, 'outer_exponent': 1320, 'outer_gen_orders': [2, 6, 12, 24, 2], 'outer_gen_pows': [0, 2, 2, 2, 4], 'outer_gens': [[1, 1215, 110], [1, 1300, 825], [1, 395, 2205], [1, 370, 175], [1, 35, 770]], 'outer_group': '15840.b', 'outer_hash': 2418169369118392439, 'outer_nilpotent': False, 'outer_order': 15840, 'outer_permdeg': 27, 'outer_perms': [1, 8370981190787566020929244844, 6209714218307670092642555667, 3139191786706117016818210708, 8370981190787566020929244840], 'outer_solvable': False, 'outer_supersolvable': False, 'outer_tex': '\\SL(2,11):D_6', 'pc_rank': 3, 'perfect': False, 'permutation_degree': 26, 'pgroup': 0, 'primary_abelian_invariants': [2, 2, 5], 'quasisimple': False, 'rank': 3, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 4], [4, 4], [10, 48]], 'representations': {'PC': {'code': '1088123296715069263077830909', 'gens': [1, 2, 4], 'pres': [5, -5, -2, -11, -2, -11, 451, 26, 1352, 19803, 58, 49504]}, 'GLFp': {'d': 4, 'p': 11, 'gens': [23192547283611157, 6869853032134935, 24593643240977732, 32182222080390795, 41772741070013040]}, 'Perm': {'d': 26, 'gens': [16188021851534417387077636, 1322039200956683490897086, 16188021851534516544354301, 32987380642068326855214020, 274467916800]}}, 'schur_multiplier': [2], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 10], 'solvability_type': 7, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'C_{22}^2:C_5', 'transitive_degree': 484, 'wreath_data': None, 'wreath_product': False}