Query:
/api/gps_groups/?_offset=0
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '8.2', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 3, 'aut_exponent': 24, 'aut_gen_orders': [2, 8, 6, 6], 'aut_gens': [[1, 2, 16, 48], [1, 150, 32, 80], [149, 2, 96, 272], [177, 130, 16, 48], [1, 178, 16, 48]], 'aut_group': '576.8658', 'aut_hash': 8658, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 576, 'aut_permdeg': 60, 'aut_perms': [459967165775726317212273346224539926857305812763938258964045417497029023674779, 1274123681539173678247103815452477556759796501247167383294427214491272747416982674, 5760207171974461064419611730098669045590728598981986623304968841239732379014142652, 82855028100955275099218582758614652854666048287181374681875394062060241082581017], 'aut_phi_ratio': 6.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 9, 1, 2], [3, 8, 1, 1], [4, 12, 2, 1], [4, 18, 1, 2], [4, 36, 2, 1], [6, 8, 1, 1], [8, 18, 2, 2], [12, 24, 2, 1]], 'aut_supersolvable': False, 'aut_tex': 'F_9:C_2^3', 'autcent_abelian': True, 'autcent_cyclic': False, 'autcent_exponent': 2, 'autcent_group': '4.2', 'autcent_hash': 2, 'autcent_nilpotent': True, 'autcent_order': 4, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': True, 'autcent_tex': 'C_2^2', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 24, 'autcentquo_group': '144.182', 'autcentquo_hash': 182, 'autcentquo_nilpotent': False, 'autcentquo_order': 144, 'autcentquo_solvable': True, 'autcentquo_supersolvable': False, 'autcentquo_tex': 'F_9:C_2', 'cc_stats': [[1, 1, 1], [2, 1, 1], [2, 9, 2], [3, 8, 1], [4, 12, 2], [4, 18, 2], [4, 36, 2], [6, 8, 1], [8, 18, 4], [12, 24, 2]], 'center_label': '2.1', 'center_order': 2, 'central_product': False, 'central_quotient': '144.182', 'commutator_count': 1, 'commutator_label': '36.9', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '2.1', '2.1', '2.1', '3.1', '3.1'], 'composition_length': 7, 'conjugacy_classes_known': True, 'counter': 842, 'cyclic': False, 'derived_length': 3, 'dihedral': False, 'direct_factorization': [], 'direct_product': False, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 9, 1, 2], [3, 8, 1, 1], [4, 12, 2, 1], [4, 18, 1, 2], [4, 36, 1, 2], [6, 8, 1, 1], [8, 18, 4, 1], [12, 24, 2, 1]], 'element_repr_type': 'PC', 'elementary': 1, 'eulerian_function': 48, 'exponent': 24, 'exponents_of_order': [5, 2], 'factors_of_aut_order': [2, 3], 'factors_of_order': [2, 3], 'faithful_reps': [[8, 0, 2]], 'familial': False, 'frattini_label': '2.1', 'frattini_quotient': '144.182', 'hash': 842, 'hyperelementary': 1, 'id': 147136, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 24, 'inner_gen_orders': [2, 8, 3, 3], 'inner_gens': [[1, 150, 32, 80], [157, 2, 224, 160], [33, 130, 16, 48], [17, 226, 16, 48]], 'inner_hash': 182, 'inner_nilpotent': False, 'inner_order': 144, 'inner_split': True, 'inner_tex': 'F_9:C_2', 'inner_used': [1, 2, 3], 'irrC_degree': 8, 'irrQ_degree': 16, 'irrQ_dim': 16, 'irrR_degree': 16, 'irrep_stats': [[1, 8], [2, 6], [8, 4]], 'label': '288.842', 'linC_count': 2, 'linC_degree': 8, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': 10, 'linQ_degree_count': 6, 'linQ_dim': 10, 'linQ_dim_count': 6, 'linR_count': 6, 'linR_degree': 10, 'maximal_subgroups_known': True, 'metabelian': False, 'metacyclic': False, 'monomial': True, 'name': 'PSU(3,2):C4', '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], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 13, 'number_characteristic_subgroups': 14, 'number_conjugacy_classes': 18, 'number_divisions': 13, 'number_normal_subgroups': 16, 'number_subgroup_autclasses': 46, 'number_subgroup_classes': 50, 'number_subgroups': 332, 'old_label': None, 'order': 288, 'order_factorization_type': 32, 'order_stats': [[1, 1], [2, 19], [3, 8], [4, 132], [6, 8], [8, 72], [12, 48]], 'outer_abelian': True, 'outer_cyclic': False, 'outer_equivalence': False, 'outer_exponent': 2, 'outer_gen_orders': [2, 2], 'outer_gen_pows': [0, 0], 'outer_gens': [[1, 146, 16, 48], [145, 2, 16, 48]], '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': 4, 'perfect': False, 'permutation_degree': 13, 'pgroup': 0, 'primary_abelian_invariants': [2, 4], 'quasisimple': False, 'rank': 2, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 4], [2, 4], [4, 2], [8, 2], [16, 1]], 'representations': {'PC': {'code': 11161664439497600246738108239034164872895950553052037, 'gens': [1, 2, 5, 6], 'pres': [7, 2, 2, 2, 2, 3, 2, 3, 1008, 2101, 36, 254, 58, 1124, 3931, 1138, 165, 3365, 3372, 859, 1286, 124, 5494, 797, 1392, 1203]}, 'GLFq': {'d': 3, 'q': 9, 'gens': [23468766, 92147424, 362850790, 86106566, 113672765, 92342245, 157244572]}, 'Perm': {'d': 13, 'gens': [45119530, 94520293, 98870543, 23, 136095240, 611105880, 1132714800]}}, 'schur_multiplier': [2], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 4], 'solvability_type': 11, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': False, 'sylow_subgroups_known': True, 'tex_name': '\\PSU(3,2):C_4', 'transitive_degree': 36, 'wreath_data': None, 'wreath_product': False}