Query:
/api/gps_groups/?_offset=0
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '20.2', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 2, 'aut_exponent': 60, 'aut_gen_orders': [2, 2, 4, 60], 'aut_gens': [[1, 20], [11, 20], [1, 220], [1, 160], [33, 20]], 'aut_group': '960.11024', 'aut_hash': 11024, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 960, 'aut_permdeg': 34, 'aut_perms': [35809931889781610335093316642491492772, 208673559355292252719152731584423939838, 285784253277538329847916796027693464427, 53842955441736638630489633395398812737], 'aut_phi_ratio': 12.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [3, 2, 1, 1], [4, 15, 2, 1], [5, 1, 4, 1], [5, 2, 2, 1], [5, 2, 8, 1], [6, 2, 1, 1], [10, 1, 4, 1], [10, 2, 2, 1], [10, 2, 8, 1], [15, 2, 4, 2], [15, 2, 16, 1], [20, 15, 8, 1], [30, 2, 4, 2], [30, 2, 16, 1]], 'aut_supersolvable': True, 'aut_tex': 'D_{30}:C_4^2', 'autcent_abelian': True, 'autcent_cyclic': False, 'autcent_exponent': 4, 'autcent_group': '8.2', 'autcent_hash': 2, 'autcent_nilpotent': True, 'autcent_order': 8, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': True, 'autcent_tex': 'C_2\\times C_4', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 60, 'autcentquo_group': '120.36', 'autcentquo_hash': 36, 'autcentquo_nilpotent': False, 'autcentquo_order': 120, 'autcentquo_solvable': True, 'autcentquo_supersolvable': True, 'autcentquo_tex': 'S_3\\times F_5', 'cc_stats': [[1, 1, 1], [2, 1, 1], [3, 2, 1], [4, 15, 2], [5, 1, 4], [5, 2, 10], [6, 2, 1], [10, 1, 4], [10, 2, 10], [15, 2, 24], [20, 15, 8], [30, 2, 24]], 'center_label': '10.2', 'center_order': 10, 'central_product': True, 'central_quotient': '30.3', 'commutator_count': 1, 'commutator_label': '15.1', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '3.1', '5.1', '5.1'], 'composition_length': 5, 'conjugacy_classes_known': True, 'counter': 19, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [['5.1', 1], ['60.3', 1]], 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [3, 2, 1, 1], [4, 15, 2, 1], [5, 1, 4, 1], [5, 2, 2, 1], [5, 2, 4, 2], [6, 2, 1, 1], [10, 1, 4, 1], [10, 2, 2, 1], [10, 2, 4, 2], [15, 2, 4, 2], [15, 2, 8, 2], [20, 15, 8, 1], [30, 2, 4, 2], [30, 2, 8, 2]], 'element_repr_type': 'PC', 'elementary': 1, 'eulerian_function': 36, 'exponent': 60, 'exponents_of_order': [2, 2, 1], 'factors_of_aut_order': [2, 3, 5], 'factors_of_order': [2, 3, 5], 'faithful_reps': [[2, 0, 16]], 'familial': False, 'frattini_label': '2.1', 'frattini_quotient': '150.11', 'hash': 19, 'hyperelementary': 1, 'id': 147551, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 30, 'inner_gen_orders': [2, 15], 'inner_gens': [[1, 280], [41, 20]], 'inner_hash': 3, 'inner_nilpotent': False, 'inner_order': 30, 'inner_split': True, 'inner_tex': 'D_{15}', 'inner_used': [1, 2], 'irrC_degree': 2, 'irrQ_degree': 16, 'irrQ_dim': 16, 'irrR_degree': 4, 'irrep_stats': [[1, 20], [2, 70]], 'label': '300.19', 'linC_count': 16, 'linC_degree': 2, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': 10, 'linQ_degree_count': 12, 'linQ_dim': 10, 'linQ_dim_count': 2, 'linR_count': 24, 'linR_degree': 4, 'maximal_subgroups_known': True, 'metabelian': True, 'metacyclic': True, 'monomial': True, 'name': 'C15:C20', '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': 18, 'number_characteristic_subgroups': 18, 'number_conjugacy_classes': 90, 'number_divisions': 22, 'number_normal_subgroups': 18, 'number_subgroup_autclasses': 28, 'number_subgroup_classes': 32, 'number_subgroups': 80, 'old_label': None, 'order': 300, 'order_factorization_type': 222, 'order_stats': [[1, 1], [2, 1], [3, 2], [4, 30], [5, 24], [6, 2], [10, 24], [15, 48], [20, 120], [30, 48]], 'outer_abelian': True, 'outer_cyclic': False, 'outer_equivalence': False, 'outer_exponent': 4, 'outer_gen_orders': [2, 4, 4], 'outer_gen_pows': [0, 0, 0], 'outer_gens': [[11, 20], [13, 20], [1, 260]], 'outer_group': '32.21', 'outer_hash': 21, 'outer_nilpotent': True, 'outer_order': 32, 'outer_permdeg': 10, 'outer_perms': [362880, 5880, 17], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'C_2\\times C_4^2', 'pc_rank': 2, 'perfect': False, 'permutation_degree': 17, 'pgroup': 0, 'primary_abelian_invariants': [4, 5], 'quasisimple': False, 'rank': 2, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 2], [2, 3], [4, 4], [8, 9], [16, 4]], 'representations': {'PC': {'code': 411764798993411127, 'gens': [1, 4], 'pres': [5, -2, -2, -5, -3, -5, 10, 26, 5603, 78, 6004]}, 'GLFp': {'d': 2, 'p': 31, 'gens': [625614, 476657, 1798]}, 'Perm': {'d': 17, 'gens': [1307674373169, 6749568000, 16, 22230464256000, 50520]}}, 'schur_multiplier': [], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [20], 'solvability_type': 6, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'C_{15}:C_{20}', 'transitive_degree': 60, 'wreath_data': None, 'wreath_product': False}