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': 220, 'aut_gen_orders': [2, 2, 10, 44], 'aut_gens': [[62037273, 8010, 7049699], [705057, 8010, 56397599], [705057, 8010, 7049699], [62037273, 274209, 48642901], [705057, 576364, 7049699]], 'aut_group': '1760.1090', 'aut_hash': 1090, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 1760, 'aut_permdeg': 17, 'aut_perms': [1327354156800, 127, 9870311001606, 42197167676568], 'aut_phi_ratio': 22.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 2, 1, 1], [2, 22, 2, 1], [4, 1, 2, 1], [4, 2, 1, 1], [4, 22, 2, 1], [11, 2, 5, 1], [22, 2, 5, 1], [22, 2, 10, 1], [44, 2, 10, 2]], 'aut_supersolvable': True, 'aut_tex': 'C_2\\times D_4\\times F_{11}', 'autcent_abelian': True, 'autcent_cyclic': False, 'autcent_exponent': 2, 'autcent_group': '8.5', 'autcent_hash': 5, 'autcent_nilpotent': True, 'autcent_order': 8, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': True, 'autcent_tex': 'C_2^3', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 110, 'autcentquo_group': '220.7', 'autcentquo_hash': 7, 'autcentquo_nilpotent': False, 'autcentquo_order': 220, 'autcentquo_solvable': True, 'autcentquo_supersolvable': True, 'autcentquo_tex': 'C_2\\times F_{11}', 'cc_stats': [[1, 1, 1], [2, 1, 1], [2, 2, 1], [2, 22, 2], [4, 1, 2], [4, 2, 1], [4, 22, 2], [11, 2, 5], [22, 2, 15], [44, 2, 20]], 'center_label': '4.1', 'center_order': 4, 'central_product': True, 'central_quotient': '44.3', 'commutator_count': 1, 'commutator_label': '22.2', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '2.1', '2.1', '11.1'], 'composition_length': 5, 'conjugacy_classes_known': True, 'counter': 30, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [], 'direct_product': False, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 2, 1, 1], [2, 22, 1, 2], [4, 1, 2, 1], [4, 2, 1, 1], [4, 22, 1, 2], [11, 2, 5, 1], [22, 2, 5, 1], [22, 2, 10, 1], [44, 2, 10, 2]], 'element_repr_type': 'GLFp', 'elementary': 1, 'eulerian_function': 1008, 'exponent': 44, 'exponents_of_order': [4, 1], 'factors_of_aut_order': [2, 5, 11], 'factors_of_order': [2, 11], 'faithful_reps': [[2, 0, 20]], 'familial': False, 'frattini_label': '2.1', 'frattini_quotient': '88.11', 'hash': 30, 'hyperelementary': 2, 'id': 141786, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 22, 'inner_gen_orders': [2, 2, 22], 'inner_gens': [[62037273, 704880, 7049699], [705057, 8010, 6344731], [62037273, 642580, 7049699]], 'inner_hash': 3, 'inner_nilpotent': False, 'inner_order': 44, 'inner_split': True, 'inner_tex': 'D_{22}', 'inner_used': [1, 2, 3], 'irrC_degree': 2, 'irrQ_degree': 40, 'irrQ_dim': 40, 'irrR_degree': 4, 'irrep_stats': [[1, 8], [2, 42]], 'label': '176.30', 'linC_count': 20, 'linC_degree': 2, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': 14, 'linQ_degree_count': 4, 'linQ_dim': 14, 'linQ_dim_count': 4, 'linR_count': 10, 'linR_degree': 4, 'maximal_subgroups_known': True, 'metabelian': True, 'metacyclic': False, 'monomial': True, 'name': 'D44:C2', 'ngens': 3, 'nilpotency_class': -1, 'nilpotent': False, 'normal_counts': [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': 15, 'number_conjugacy_classes': 50, 'number_divisions': 14, 'number_normal_subgroups': 23, 'number_subgroup_autclasses': 30, 'number_subgroup_classes': 40, 'number_subgroups': 196, 'old_label': None, 'order': 176, 'order_factorization_type': 31, 'order_stats': [[1, 1], [2, 47], [4, 48], [11, 10], [22, 30], [44, 40]], 'outer_abelian': True, 'outer_cyclic': False, 'outer_equivalence': False, 'outer_exponent': 10, 'outer_gen_orders': [2, 2, 10], 'outer_gen_pows': [704970, 704970, 62037273], 'outer_gens': [[62037273, 8010, 56397599], [62037273, 8010, 6344731], [62037273, 274209, 11984494]], 'outer_group': '40.14', 'outer_hash': 14, 'outer_nilpotent': True, 'outer_order': 40, 'outer_permdeg': 11, 'outer_perms': [720, 3628800, 40353], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'C_2^2\\times C_{10}', 'pc_rank': 3, 'perfect': False, 'permutation_degree': 19, 'pgroup': 0, 'primary_abelian_invariants': [2, 2, 2], 'quasisimple': False, 'rank': 3, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 8], [4, 1], [10, 4], [40, 1]], 'representations': {'PC': {'code': 82014067117800009, 'gens': [1, 2, 4], 'pres': [5, -2, -2, -2, 2, -11, 26, 3443, 58, 4004]}, 'GLFp': {'d': 2, 'p': 89, 'gens': [62037273, 8010, 7049699]}, 'Perm': {'d': 19, 'gens': [357001369769809, 12568, 3043, 18498, 7116376444894080]}}, '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_{44}:C_2', 'transitive_degree': 88, 'wreath_data': None, 'wreath_product': False}