Query:
/api/gps_groups/?_offset=0
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '16.5', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 2, 'aut_exponent': 60, 'aut_gen_orders': [2, 12, 12, 2, 4, 30, 4, 2], 'aut_gens': [[1, 8, 160], [17, 152, 320], [53, 380, 160], [99, 264, 160], [1, 12, 320], [117, 184, 320], [35, 408, 160], [53, 140, 160], [83, 8, 160]], 'aut_group': None, 'aut_hash': 5615892715607112017, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 3840, 'aut_permdeg': 52, 'aut_perms': [76495334393332963371429646326033161742793603768641525187961401275054, 37233593802760068847845294582268631927563465133247917590837744471898, 78200296420015432131988428815915887495148336251390270492925492964684, 2450586352948192681800086568240, 20810450287947783226948592098195450072166699308439342294628393037527, 79082484871470180890275239819868966215610688151544570734135111701730, 37233593802760068847845294582268631923904727435037575747750210050978, 7854157153517572434627320844355313282294289094548327249662877649123], 'aut_phi_ratio': 30.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 3], [3, 2, 1, 1], [4, 1, 2, 2], [4, 6, 2, 2], [5, 2, 2, 1], [6, 2, 1, 3], [8, 10, 4, 1], [8, 30, 4, 1], [10, 2, 2, 3], [12, 2, 2, 2], [15, 4, 2, 1], [20, 2, 4, 2], [20, 6, 8, 2], [24, 10, 8, 1], [30, 4, 2, 3], [60, 4, 4, 2]], 'aut_supersolvable': True, 'aut_tex': 'C_2^5\\times S_3\\times F_5', 'autcent_abelian': True, 'autcent_cyclic': False, 'autcent_exponent': 2, 'autcent_group': '32.51', 'autcent_hash': 51, 'autcent_nilpotent': True, 'autcent_order': 32, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': True, 'autcent_tex': 'C_2^5', '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], [3, 2, 1], [4, 1, 4], [4, 6, 4], [5, 2, 2], [6, 2, 3], [8, 10, 4], [8, 30, 4], [10, 2, 6], [12, 2, 4], [15, 4, 2], [20, 2, 8], [20, 6, 16], [24, 10, 8], [30, 4, 6], [60, 4, 8]], 'center_label': '8.2', 'center_order': 8, 'central_product': False, 'central_quotient': '60.8', 'commutator_count': 1, 'commutator_label': '30.4', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '2.1', '2.1', '2.1', '3.1', '5.1'], 'composition_length': 7, 'conjugacy_classes_known': True, 'counter': 60, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [], 'direct_product': False, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 3], [3, 2, 1, 1], [4, 1, 2, 2], [4, 6, 1, 2], [4, 6, 2, 1], [5, 2, 2, 1], [6, 2, 1, 3], [8, 10, 4, 1], [8, 30, 4, 1], [10, 2, 2, 3], [12, 2, 2, 2], [15, 4, 2, 1], [20, 2, 4, 2], [20, 6, 4, 2], [20, 6, 8, 1], [24, 10, 8, 1], [30, 4, 2, 3], [60, 4, 4, 2]], 'element_repr_type': 'PC', 'elementary': 1, 'eulerian_function': 12, 'exponent': 120, 'exponents_of_order': [5, 1, 1], 'factors_of_aut_order': [2, 3, 5], 'factors_of_order': [2, 3, 5], 'faithful_reps': [], 'familial': False, 'frattini_label': '8.2', 'frattini_quotient': '60.8', 'hash': 60, 'hyperelementary': 2, 'id': 129377, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 30, 'inner_gen_orders': [2, 10, 3], 'inner_gens': [[1, 152, 160], [17, 8, 320], [1, 328, 160]], 'inner_hash': 8, 'inner_nilpotent': False, 'inner_order': 60, 'inner_split': True, 'inner_tex': 'S_3\\times D_5', 'inner_used': [1, 2, 3], 'irrC_degree': -1, 'irrQ_degree': -1, 'irrQ_dim': -1, 'irrR_degree': -1, 'irrep_stats': [[1, 16], [2, 52], [4, 16]], 'label': '480.60', 'linC_count': 192, 'linC_degree': 4, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': 12, 'linQ_degree_count': 90, 'linQ_dim': 12, 'linQ_dim_count': 18, 'linR_count': 56, 'linR_degree': 6, 'maximal_subgroups_known': True, 'metabelian': True, 'metacyclic': False, 'monomial': True, 'name': 'C12.D20', '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': 31, 'number_characteristic_subgroups': 42, 'number_conjugacy_classes': 84, 'number_divisions': 33, 'number_normal_subgroups': 46, 'number_subgroup_autclasses': 72, 'number_subgroup_classes': 76, 'number_subgroups': 220, 'old_label': None, 'order': 480, 'order_factorization_type': 311, 'order_stats': [[1, 1], [2, 3], [3, 2], [4, 28], [5, 4], [6, 6], [8, 160], [10, 12], [12, 8], [15, 8], [20, 112], [24, 80], [30, 24], [60, 32]], 'outer_abelian': True, 'outer_cyclic': False, 'outer_equivalence': False, 'outer_exponent': 4, 'outer_gen_orders': [2, 2, 2, 2, 4], 'outer_gen_pows': [0, 0, 0, 0, 0], 'outer_gens': [[1, 8, 320], [5, 8, 160], [1, 12, 160], [3, 8, 160], [1, 136, 160]], 'outer_group': '64.260', 'outer_hash': 260, 'outer_nilpotent': True, 'outer_order': 64, 'outer_permdeg': 12, 'outer_perms': [120, 39916800, 362880, 5040, 17], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'C_2^4\\times C_4', 'pc_rank': 3, 'perfect': False, 'permutation_degree': 20, 'pgroup': 0, 'primary_abelian_invariants': [2, 8], 'quasisimple': False, 'rank': 2, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 4], [2, 6], [4, 10], [8, 10], [16, 3]], 'representations': {'PC': {'code': 13152503084638005831266143223821, 'gens': [1, 4, 7], 'pres': [7, -2, -2, -2, -2, -2, -5, -3, 14, 36, 4259, 80, 5044, 102, 5381, 1987]}, 'GLZN': {'d': 2, 'p': 60, 'gens': [216721, 6696031, 10692919, 10766331, 8929201, 6858916, 8856041]}, 'Perm': {'d': 20, 'gens': [6423390942797544, 1465, 194123381760, 2424, 288369849600, 3, 134470770610176000]}}, 'schur_multiplier': [2], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 8], 'solvability_type': 7, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'C_{12}.D_{20}', 'transitive_degree': 480, 'wreath_data': None, 'wreath_product': False}