Query:
/api/gps_groups/?_offset=0
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '40.14', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 2, 'aut_exponent': 220, 'aut_gen_orders': [10, 10, 10, 20, 20, 4], 'aut_gens': [[1, 2, 20], [881, 1442, 380], [441, 242, 700], [1, 1122, 820], [441, 482, 1460], [441, 802, 580], [1321, 882, 420]], 'aut_group': None, 'aut_hash': 4036028994375102156, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 3520, 'aut_permdeg': 30, 'aut_perms': [201912748718362285868285171482372, 101878973048229824351838957014954, 189887242344066146431584215689080, 142547703975860538498279435898087, 151535619684743050620530028845794, 210101816655418206751751017018934], 'aut_phi_ratio': 5.5, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 22, 1, 1], [2, 44, 1, 1], [4, 2, 1, 1], [4, 4, 1, 2], [4, 22, 1, 1], [4, 44, 1, 1], [5, 11, 1, 4], [8, 4, 1, 1], [8, 44, 1, 1], [10, 11, 1, 4], [10, 22, 1, 4], [10, 44, 1, 4], [11, 10, 1, 1], [20, 22, 1, 8], [20, 44, 1, 12], [22, 10, 1, 1], [40, 44, 1, 8], [44, 20, 1, 1], [44, 40, 1, 2], [88, 20, 2, 1]], 'aut_supersolvable': True, 'aut_tex': 'C_{22}.(C_2^4\\times C_{10})', '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': False, 'autcent_supersolvable': True, 'autcent_tex': 'C_2^3', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 110, 'autcentquo_group': '440.42', 'autcentquo_hash': 42, 'autcentquo_nilpotent': False, 'autcentquo_order': 440, 'autcentquo_solvable': True, 'autcentquo_supersolvable': True, 'autcentquo_tex': 'C_2^2\\times F_{11}', 'cc_stats': [[1, 1, 1], [2, 1, 1], [2, 22, 1], [2, 44, 1], [4, 2, 1], [4, 4, 2], [4, 22, 1], [4, 44, 1], [5, 11, 4], [8, 4, 1], [8, 44, 1], [10, 11, 4], [10, 22, 4], [10, 44, 4], [11, 10, 1], [20, 22, 8], [20, 44, 12], [22, 10, 1], [40, 44, 8], [44, 20, 1], [44, 40, 2], [88, 20, 2]], 'center_label': '2.1', 'center_order': 2, 'central_product': False, 'central_quotient': '880.118', 'commutator_count': 1, 'commutator_label': '44.2', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '2.1', '2.1', '2.1', '5.1', '11.1'], 'composition_length': 7, 'conjugacy_classes_known': True, 'counter': 328, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [], 'direct_product': False, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 22, 1, 1], [2, 44, 1, 1], [4, 2, 1, 1], [4, 4, 1, 2], [4, 22, 1, 1], [4, 44, 1, 1], [5, 11, 4, 1], [8, 4, 1, 1], [8, 44, 1, 1], [10, 11, 4, 1], [10, 22, 4, 1], [10, 44, 4, 1], [11, 10, 1, 1], [20, 22, 4, 2], [20, 44, 4, 3], [22, 10, 1, 1], [40, 44, 4, 2], [44, 20, 1, 1], [44, 40, 1, 2], [88, 20, 2, 1]], 'element_repr_type': 'PC', 'elementary': 1, 'eulerian_function': 499968, 'exponent': 440, 'exponents_of_order': [5, 1, 1], 'factors_of_aut_order': [2, 5, 11], 'factors_of_order': [2, 5, 11], 'faithful_reps': [[20, 0, 2]], 'familial': False, 'frattini_label': '4.1', 'frattini_quotient': '440.42', 'hash': 328, 'hyperelementary': 1, 'id': 265245, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 220, 'inner_gen_orders': [2, 10, 44], 'inner_gens': [[1, 882, 460], [881, 2, 260], [1321, 1522, 20]], 'inner_hash': 118, 'inner_nilpotent': False, 'inner_order': 880, 'inner_split': True, 'inner_tex': 'D_4\\times F_{11}', 'inner_used': [1, 2, 3], 'irrC_degree': 20, 'irrQ_degree': 40, 'irrQ_dim': 40, 'irrR_degree': 40, 'irrep_stats': [[1, 40], [2, 10], [4, 5], [10, 4], [20, 3]], 'label': '1760.328', 'linC_count': 20, 'linC_degree': 14, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': 14, 'linQ_degree_count': 4, 'linQ_dim': 18, 'linQ_dim_count': 4, 'linR_count': 12, 'linR_degree': 18, 'maximal_subgroups_known': True, 'metabelian': True, 'metacyclic': False, 'monomial': True, 'name': 'Q16:F11', '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': 61, 'number_characteristic_subgroups': 47, 'number_conjugacy_classes': 62, 'number_divisions': 28, 'number_normal_subgroups': 47, 'number_subgroup_autclasses': 120, 'number_subgroup_classes': 120, 'number_subgroups': 898, 'old_label': None, 'order': 1760, 'order_factorization_type': 311, 'order_stats': [[1, 1], [2, 67], [4, 76], [5, 44], [8, 48], [10, 308], [11, 10], [20, 704], [22, 10], [40, 352], [44, 100], [88, 40]], '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, 882, 1300], [881, 2, 1300]], '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': 3, 'perfect': False, 'permutation_degree': 27, 'pgroup': 0, 'primary_abelian_invariants': [2, 2, 2, 5], 'quasisimple': False, 'rank': 3, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 8], [2, 2], [4, 9], [8, 2], [10, 4], [16, 1], [20, 1], [40, 1]], 'representations': {'PC': {'code': 19417663159066969069047043295835183621882615225188771357390030009, 'gens': [1, 2, 4], 'pres': [7, -2, -2, -5, -2, -2, -2, -11, 6160, 12349, 36, 12883, 3650, 11357, 80, 32204, 9111, 12968, 102, 21852, 12619, 124, 7853, 7860]}, 'Perm': {'d': 27, 'gens': [15537113407107028813713688, 1616856149013, 2987271666884, 32317378649298032209920000, 4410550437631, 5795954564346, 449828623964764313837568000]}}, 'schur_multiplier': [2, 2], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 2, 10], 'solvability_type': 7, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'Q_{16}:F_{11}', 'transitive_degree': 176, 'wreath_data': None, 'wreath_product': False}