Query:
/api/gps_groups/?_offset=0
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '16.14', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 3, 'aut_exponent': 60, 'aut_gen_orders': [20, 4, 12, 12], 'aut_gens': [[8111, 72001, 92201, 88011, 8181], [8111, 72321, 8211, 8201, 92181], [88101, 72001, 88001, 8201, 92061], [88101, 72201, 88001, 8201, 12141], [8311, 152291, 12001, 88211, 12351]], 'aut_group': None, 'aut_hash': 466394350798183536, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 30720, 'aut_permdeg': 32, 'aut_perms': [218647914785426423796251322934460789, 77419613033143924142672144745270495, 19758927654943292374984307487514692, 237264930591566250498401247904273387], 'aut_phi_ratio': 240.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 1, 3, 1], [2, 2, 6, 1], [2, 4, 1, 1], [2, 5, 4, 1], [2, 10, 6, 1], [2, 20, 1, 1], [4, 4, 3, 1], [4, 20, 3, 1], [5, 2, 2, 1], [10, 2, 6, 1], [10, 4, 12, 1], [10, 8, 2, 1], [20, 8, 6, 1]], 'aut_supersolvable': False, 'aut_tex': 'C_2^6:C_3.D_4\\times F_5', 'autcent_abelian': True, 'autcent_cyclic': False, 'autcent_exponent': 2, 'autcent_group': '256.56092', 'autcent_hash': 56092, 'autcent_nilpotent': True, 'autcent_order': 256, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': True, 'autcent_tex': 'C_2^8', '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, 3], [2, 2, 6], [2, 4, 1], [2, 5, 4], [2, 10, 6], [2, 20, 1], [4, 4, 3], [4, 20, 3], [5, 2, 2], [10, 2, 6], [10, 4, 12], [10, 8, 2], [20, 8, 6]], 'center_label': '4.2', 'center_order': 4, 'central_product': True, 'central_quotient': '80.51', 'commutator_count': 1, 'commutator_label': '20.5', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '5.1'], 'composition_length': 7, 'conjugacy_classes_known': True, 'counter': 1260, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [['10.1', 1], ['32.27', 1]], 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 3], [2, 2, 1, 6], [2, 4, 1, 1], [2, 5, 1, 4], [2, 10, 1, 6], [2, 20, 1, 1], [4, 4, 1, 3], [4, 20, 1, 3], [5, 2, 2, 1], [10, 2, 2, 3], [10, 4, 2, 6], [10, 8, 2, 1], [20, 8, 2, 3]], 'element_repr_type': 'GLZN', 'elementary': 1, 'eulerian_function': 104160, 'exponent': 20, 'exponents_of_order': [6, 1], 'factors_of_aut_order': [2, 3, 5], 'factors_of_order': [2, 5], 'faithful_reps': [], 'familial': False, 'frattini_label': '4.2', 'frattini_quotient': '80.51', 'hash': 1260, 'hyperelementary': 2, 'id': 538161, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 10, 'inner_gen_orders': [2, 2, 2, 1, 10], 'inner_gens': [[8111, 72001, 12211, 88011, 8381], [8111, 72001, 92201, 88011, 8021], [88301, 72001, 92201, 88011, 88391], [8111, 72001, 92201, 88011, 8181], [8311, 72161, 12211, 88011, 8181]], 'inner_hash': 51, 'inner_nilpotent': False, 'inner_order': 80, 'inner_split': False, 'inner_tex': 'C_2^2\\times D_{10}', 'inner_used': [1, 2, 3, 5], 'irrC_degree': -1, 'irrQ_degree': -1, 'irrQ_dim': -1, 'irrR_degree': -1, 'irrep_stats': [[1, 16], [2, 28], [4, 12]], 'label': '320.1260', 'linC_count': None, 'linC_degree': None, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': None, 'linQ_degree_count': None, 'linQ_dim': None, 'linQ_dim_count': None, 'linR_count': None, 'linR_degree': None, 'maximal_subgroups_known': True, 'metabelian': True, 'metacyclic': False, 'monomial': True, 'name': 'C2^4:D10', 'ngens': 7, 'nilpotency_class': -1, 'nilpotent': False, 'normal_counts': [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': 14, 'number_characteristic_subgroups': 16, 'number_conjugacy_classes': 56, 'number_divisions': 42, 'number_normal_subgroups': 131, 'number_subgroup_autclasses': 124, 'number_subgroup_classes': 662, 'number_subgroups': 2990, 'old_label': None, 'order': 320, 'order_factorization_type': 51, 'order_stats': [[1, 1], [2, 119], [4, 72], [5, 4], [10, 76], [20, 48]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': True, 'outer_exponent': 12, 'outer_gen_orders': [2, 2, 2, 3, 2, 2, 2, 2], 'outer_gen_pows': [8101, 8001, 72001, 8001, 8001, 8001, 8001, 8001], 'outer_gens': [[88101, 72001, 12201, 88211, 8181], [88101, 72001, 92001, 88011, 8181], [8111, 72001, 92201, 88011, 8341], [88101, 72001, 88201, 8201, 12381], [88301, 72001, 92001, 88011, 8181], [88301, 72001, 92201, 88011, 8181], [88301, 152011, 92201, 88011, 8181], [88301, 152211, 92001, 88011, 8181]], 'outer_group': '384.20163', 'outer_hash': 20163, 'outer_nilpotent': False, 'outer_order': 384, 'outer_permdeg': 12, 'outer_perms': [135737356, 90843196, 167490941, 438114264, 90760402, 128236, 208301, 167328107], 'outer_solvable': True, 'outer_supersolvable': False, 'outer_tex': 'C_2^2\\wr S_3', 'pc_rank': 5, 'perfect': False, 'permutation_degree': 13, 'pgroup': 0, 'primary_abelian_invariants': [2, 2, 2, 2], 'quasisimple': False, 'rank': 4, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 16], [2, 12], [4, 8], [8, 6]], 'representations': {'PC': {'code': 15118685856323454743785818030083, 'gens': [1, 2, 3, 4, 5], 'pres': [7, -2, -2, -2, -2, 2, -2, -5, 254, 6164, 2531, 228, 102, 6060, 124, 6285]}, 'GLZN': {'d': 2, 'p': 20, 'gens': [8101, 8201, 92201, 88011, 8081, 72001, 12201]}, 'Perm': {'d': 13, 'gens': [486985687, 1078116480, 1502640, 1611308160, 2000931120, 1078852320, 37]}}, 'schur_multiplier': [2, 2, 2, 2, 2, 2, 2], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 2, 2, 2], 'solvability_type': 7, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'C_2^4:D_{10}', 'transitive_degree': 40, 'wreath_data': None, 'wreath_product': False}