Query:
/api/gps_groups/?_offset=0
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '80.45', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 2, 'aut_exponent': 12, 'aut_gen_orders': [12, 12, 6, 12, 6, 4, 12, 6, 2], 'aut_gens': [[1, 4, 24], [731, 726, 1130], [721, 620, 170], [737, 246, 698], [11, 1324, 168], [3, 1220, 456], [19, 740, 312], [729, 966, 888], [17, 486, 744], [3, 862, 264]], 'aut_group': None, 'aut_hash': 2027141501403537390, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 18432, 'aut_permdeg': 40, 'aut_perms': [12030316402500795735832690884581903568419269120, 435913385579328755081751529062700908051879424971, 628634923876248906243110825712865456875688994457, 345568110143797129409082629162839414384882994228, 195874999100074750854099101965000107259237434371, 708146989518969633664860041124529034791094783326, 652059364055532308899918669109338352578269078597, 724704039382759539702248096736091856633273066462, 216271000223117522990578632432081704948058776099], 'aut_phi_ratio': 48.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 3], [3, 2, 1, 2], [3, 4, 1, 1], [4, 2, 2, 1], [4, 3, 4, 1], [4, 6, 2, 1], [4, 6, 4, 1], [4, 18, 4, 1], [5, 1, 4, 1], [6, 2, 1, 6], [6, 4, 1, 3], [10, 1, 4, 3], [12, 2, 4, 1], [12, 4, 2, 1], [12, 4, 4, 1], [12, 6, 4, 2], [12, 12, 4, 1], [15, 2, 4, 2], [15, 4, 4, 1], [20, 2, 8, 1], [20, 3, 16, 1], [20, 6, 8, 1], [20, 6, 16, 1], [20, 18, 16, 1], [30, 2, 4, 6], [30, 4, 4, 3], [60, 2, 16, 1], [60, 4, 8, 1], [60, 4, 16, 1], [60, 6, 16, 2], [60, 12, 16, 1]], 'aut_supersolvable': True, 'aut_tex': 'C_3.(C_2^4\\times C_{12}).C_2^5', 'autcent_abelian': True, 'autcent_cyclic': False, 'autcent_exponent': 4, 'autcent_group': '256.56082', 'autcent_hash': 56082, 'autcent_nilpotent': True, 'autcent_order': 256, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': True, 'autcent_tex': 'C_2^6\\times C_4', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 6, 'autcentquo_group': '72.46', 'autcentquo_hash': 46, 'autcentquo_nilpotent': False, 'autcentquo_order': 72, 'autcentquo_solvable': True, 'autcentquo_supersolvable': True, 'autcentquo_tex': 'S_3\\times D_6', 'cc_stats': [[1, 1, 1], [2, 1, 3], [3, 2, 2], [3, 4, 1], [4, 2, 2], [4, 3, 4], [4, 6, 6], [4, 18, 4], [5, 1, 4], [6, 2, 6], [6, 4, 3], [10, 1, 12], [12, 2, 4], [12, 4, 6], [12, 6, 8], [12, 12, 4], [15, 2, 8], [15, 4, 4], [20, 2, 8], [20, 3, 16], [20, 6, 24], [20, 18, 16], [30, 2, 24], [30, 4, 12], [60, 2, 16], [60, 4, 24], [60, 6, 32], [60, 12, 16]], 'center_label': '20.5', 'center_order': 20, 'central_product': True, 'central_quotient': '72.46', 'commutator_count': 1, 'commutator_label': '18.5', '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', '5.1'], 'composition_length': 8, 'conjugacy_classes_known': True, 'counter': 3401, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [['12.1', 1], ['24.4', 1], ['5.1', 1]], 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 3], [3, 2, 1, 2], [3, 4, 1, 1], [4, 2, 1, 2], [4, 3, 2, 2], [4, 6, 1, 4], [4, 6, 2, 1], [4, 18, 2, 2], [5, 1, 4, 1], [6, 2, 1, 6], [6, 4, 1, 3], [10, 1, 4, 3], [12, 2, 2, 2], [12, 4, 1, 2], [12, 4, 2, 2], [12, 6, 2, 2], [12, 6, 4, 1], [12, 12, 1, 4], [15, 2, 4, 2], [15, 4, 4, 1], [20, 2, 4, 2], [20, 3, 8, 2], [20, 6, 4, 4], [20, 6, 8, 1], [20, 18, 8, 2], [30, 2, 4, 6], [30, 4, 4, 3], [60, 2, 8, 2], [60, 4, 4, 2], [60, 4, 8, 2], [60, 6, 8, 2], [60, 6, 16, 1], [60, 12, 4, 4]], 'element_repr_type': 'PC', 'elementary': 1, 'eulerian_function': 41664, 'exponent': 60, 'exponents_of_order': [5, 2, 1], 'factors_of_aut_order': [2, 3], 'factors_of_order': [2, 3, 5], 'faithful_reps': [], 'familial': False, 'frattini_label': '4.2', 'frattini_quotient': '360.153', 'hash': 3401, 'hyperelementary': 1, 'id': 193332, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 6, 'inner_gen_orders': [2, 6, 6], 'inner_gens': [[1, 20, 24], [729, 4, 264], [1, 1204, 24]], 'inner_hash': 46, 'inner_nilpotent': False, 'inner_order': 72, 'inner_split': True, 'inner_tex': 'S_3\\times D_6', 'inner_used': [1, 2, 3], 'irrC_degree': -1, 'irrQ_degree': -1, 'irrQ_dim': -1, 'irrR_degree': -1, 'irrep_stats': [[1, 80], [2, 140], [4, 50]], 'label': '1440.3401', 'linC_count': 768, 'linC_degree': 4, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': 10, 'linQ_degree_count': 352, 'linQ_dim': 14, 'linQ_dim_count': 2576, 'linR_count': 32, 'linR_degree': 6, 'maximal_subgroups_known': True, 'metabelian': True, 'metacyclic': False, 'monomial': True, 'name': 'C3^2:(Q8*C20)', 'ngens': 8, '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, 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': 54, 'number_characteristic_subgroups': 68, 'number_conjugacy_classes': 270, 'number_divisions': 80, 'number_normal_subgroups': 144, 'number_subgroup_autclasses': 196, 'number_subgroup_classes': 306, 'number_subgroups': 852, 'old_label': None, 'order': 1440, 'order_factorization_type': 321, 'order_stats': [[1, 1], [2, 3], [3, 8], [4, 124], [5, 4], [6, 24], [10, 12], [12, 128], [15, 32], [20, 496], [30, 96], [60, 512]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': False, 'outer_exponent': 4, 'outer_gen_orders': [2, 2, 2, 2, 4, 4], 'outer_gen_pows': [0, 0, 0, 1368, 0, 0], 'outer_gens': [[3, 726, 984], [721, 20, 1176], [1, 6, 696], [723, 366, 24], [1, 20, 408], [723, 364, 1178]], 'outer_group': '256.55630', 'outer_hash': 55630, 'outer_nilpotent': True, 'outer_order': 256, 'outer_permdeg': 14, 'outer_perms': [367920, 127, 806400, 6, 19639872000, 6267305929], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'C_4^2:C_2^4', 'pc_rank': 3, 'perfect': False, 'permutation_degree': 23, 'pgroup': 0, 'primary_abelian_invariants': [2, 2, 4, 5], 'quasisimple': False, 'rank': 3, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 8], [2, 18], [4, 19], [8, 21], [16, 11], [32, 3]], 'representations': {'PC': {'code': 691289300701694989307360649210043487632374956295, 'gens': [1, 3, 5], 'pres': [8, -2, -2, -2, -3, -2, -2, -3, -5, 16, 482, 66, 23555, 2907, 2660, 116, 6357, 141, 14806, 222]}, 'GLZN': {'d': 2, 'p': 44, 'gens': [2486917, 1959255, 2540949, 766665, 2445403, 3706977, 1788885, 1044979]}, 'Perm': {'d': 23, 'gens': [4092481, 51090942265602115200, 186823135680, 128424084332544000, 186810624000, 8361600, 1175091669949317120000, 3]}}, 'schur_multiplier': [2, 2], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 2, 20], 'solvability_type': 7, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'C_3^2:(Q_8\\times C_{20})', 'transitive_degree': 480, 'wreath_data': None, 'wreath_product': False}