Query:
/api/gps_groups/?_offset=0
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '100.16', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 2, 'aut_exponent': 220, 'aut_gen_orders': [4, 10, 110], 'aut_gens': [[1, 10], [221, 870], [1, 1010], [1071, 10]], 'aut_group': '4400.r', 'aut_hash': 3690388632023574097, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 4400, 'aut_permdeg': 77, 'aut_perms': [56883759698427363657421140742347031429101440190046605383223984815895734387032106449957147462527776529098702985233, 29956808623520794514028071565247402522112806851483006125820260451801484110597682345036015190324403568587385192560, 92157247970159676524817938842705522413666998993160816869970806325543758955058982550685979128966382436715094427168], 'aut_phi_ratio': 11.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 11, 2, 1], [5, 1, 4, 1], [5, 11, 5, 4], [10, 1, 4, 1], [10, 11, 5, 4], [10, 11, 8, 1], [10, 11, 10, 4], [11, 10, 1, 1], [22, 10, 1, 1], [55, 10, 4, 1], [110, 10, 4, 1]], 'aut_supersolvable': True, 'aut_tex': 'D_{110}:C_{20}', 'autcent_abelian': False, 'autcent_cyclic': False, 'autcent_exponent': 20, 'autcent_group': '40.12', 'autcent_hash': 12, 'autcent_nilpotent': False, 'autcent_order': 40, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': True, 'autcent_tex': 'C_2\\times F_5', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 110, 'autcentquo_group': '110.1', 'autcentquo_hash': 1, 'autcentquo_nilpotent': False, 'autcentquo_order': 110, 'autcentquo_solvable': True, 'autcentquo_supersolvable': True, 'autcentquo_tex': 'F_{11}', 'cc_stats': [[1, 1, 1], [2, 1, 1], [2, 11, 2], [5, 1, 4], [5, 11, 20], [10, 1, 4], [10, 11, 68], [11, 10, 1], [22, 10, 1], [55, 10, 4], [110, 10, 4]], 'center_label': '10.2', 'center_order': 10, 'central_product': True, 'central_quotient': '110.1', 'commutator_count': 1, 'commutator_label': '11.1', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '5.1', '5.1', '11.1'], 'composition_length': 5, 'conjugacy_classes_known': True, 'counter': 29, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [['110.1', 1], ['2.1', 1], ['5.1', 1]], 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 11, 1, 2], [5, 1, 4, 1], [5, 11, 4, 5], [10, 1, 4, 1], [10, 11, 4, 17], [11, 10, 1, 1], [22, 10, 1, 1], [55, 10, 4, 1], [110, 10, 4, 1]], 'element_repr_type': 'PC', 'elementary': 1, 'eulerian_function': 72, 'exponent': 110, 'exponents_of_order': [2, 2, 1], 'factors_of_aut_order': [2, 5, 11], 'factors_of_order': [2, 5, 11], 'faithful_reps': [[10, 0, 4]], 'familial': False, 'frattini_label': '1.1', 'frattini_quotient': '1100.29', 'hash': 29, 'hyperelementary': 1, 'id': 165612, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 110, 'inner_gen_orders': [10, 11], 'inner_gens': [[1, 510], [601, 10]], 'inner_hash': 1, 'inner_nilpotent': False, 'inner_order': 110, 'inner_split': True, 'inner_tex': 'F_{11}', 'inner_used': [1, 2], 'irrC_degree': 10, 'irrQ_degree': 40, 'irrQ_dim': 40, 'irrR_degree': 20, 'irrep_stats': [[1, 100], [10, 10]], 'label': '1100.29', 'linC_count': 4, 'linC_degree': 10, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': 14, 'linQ_degree_count': 30, 'linQ_dim': 14, 'linQ_dim_count': 30, 'linR_count': 60, 'linR_degree': 12, 'maximal_subgroups_known': True, 'metabelian': True, 'metacyclic': True, 'monomial': True, 'name': 'C10*F11', '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': 22, 'number_characteristic_subgroups': 13, 'number_conjugacy_classes': 110, 'number_divisions': 32, 'number_normal_subgroups': 44, 'number_subgroup_autclasses': 32, 'number_subgroup_classes': 80, 'number_subgroups': 440, 'old_label': None, 'order': 1100, 'order_factorization_type': 222, 'order_stats': [[1, 1], [2, 23], [5, 224], [10, 752], [11, 10], [22, 10], [55, 40], [110, 40]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': False, 'outer_exponent': 20, 'outer_gen_orders': [4, 10], 'outer_gen_pows': [0, 0], 'outer_gens': [[221, 430], [771, 210]], 'outer_group': '40.12', 'outer_hash': 12, 'outer_nilpotent': False, 'outer_order': 40, 'outer_permdeg': 7, 'outer_perms': [247, 1729], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'C_2\\times F_5', 'pc_rank': 2, 'perfect': False, 'permutation_degree': 18, 'pgroup': 0, 'primary_abelian_invariants': [2, 2, 5, 5], 'quasisimple': False, 'rank': 2, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 4], [4, 24], [10, 2], [40, 2]], 'representations': {'PC': {'code': 14057822293040673023954469066903039, 'gens': [1, 3], 'pres': [5, -2, -5, -2, -5, -11, 10, 7652, 5332, 42, 20403, 3208, 118, 17504, 6259]}, 'GLFp': {'d': 2, 'p': 11, 'gens': [1343, 7988, 2663]}, 'Perm': {'d': 18, 'gens': [21115987966081, 1, 46057571844480, 870, 418750544136960]}}, 'schur_multiplier': [10], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [10, 10], 'solvability_type': 6, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'C_{10}\\times F_{11}', 'transitive_degree': 110, 'wreath_data': None, 'wreath_product': False}