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': 2, 'aut_exponent': 6, 'aut_gen_orders': [6, 6, 2, 6, 6, 6, 2, 2, 6, 6, 6], 'aut_gens': [[1, 2, 4, 48], [321, 290, 196, 48], [289, 26, 500, 360], [313, 290, 28, 552], [305, 26, 316, 528], [9, 2, 404, 48], [305, 290, 412, 48], [41, 290, 44, 528], [313, 290, 292, 528], [17, 2, 220, 552], [313, 290, 508, 336], [305, 26, 412, 528]], 'aut_group': None, 'aut_hash': 4056260955913948657, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 9216, 'aut_permdeg': 32, 'aut_perms': [102409533885027022007937153442117561, 7411867988112411079284920494766740, 119083796926910417313868594644619834, 262561175090547392435532658840594704, 41393841479305884187862918564295639, 61292235585011489081507675684569425, 259101949046131503557038324092962075, 53260691255392014283843586628621772, 90968876101559576855486588134053764, 53259667702276257826680432881735452, 262557124430418325771828012124194108], 'aut_phi_ratio': 48.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 3], [2, 2, 2, 1], [2, 6, 2, 1], [3, 2, 1, 2], [3, 4, 1, 1], [4, 4, 1, 2], [4, 6, 2, 3], [4, 12, 1, 4], [4, 18, 2, 1], [4, 36, 1, 3], [6, 2, 1, 6], [6, 4, 1, 3], [6, 4, 2, 2], [6, 8, 2, 1], [6, 12, 2, 1], [12, 4, 2, 2], [12, 6, 4, 1], [12, 8, 1, 2], [12, 8, 2, 2], [12, 12, 2, 4], [12, 24, 1, 2]], 'aut_supersolvable': True, 'aut_tex': 'D_6^2.C_2^6', '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': 6, 'autcentquo_group': '36.10', 'autcentquo_hash': 10, 'autcentquo_nilpotent': False, 'autcentquo_order': 36, 'autcentquo_solvable': True, 'autcentquo_supersolvable': True, 'autcentquo_tex': 'S_3^2', 'cc_stats': [[1, 1, 1], [2, 1, 3], [2, 2, 2], [2, 6, 2], [3, 2, 2], [3, 4, 1], [4, 4, 2], [4, 6, 6], [4, 12, 4], [4, 18, 2], [4, 36, 3], [6, 2, 6], [6, 4, 7], [6, 8, 2], [6, 12, 2], [12, 4, 4], [12, 6, 4], [12, 8, 6], [12, 12, 8], [12, 24, 2]], 'center_label': '4.2', 'center_order': 4, 'central_product': False, 'central_quotient': '144.192', 'commutator_count': 1, 'commutator_label': '36.14', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '3.1', '3.1'], 'composition_length': 8, 'conjugacy_classes_known': True, 'counter': 6038, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [], 'direct_product': False, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 3], [2, 2, 1, 2], [2, 6, 1, 2], [3, 2, 1, 2], [3, 4, 1, 1], [4, 4, 1, 2], [4, 6, 1, 2], [4, 6, 2, 2], [4, 12, 1, 4], [4, 18, 1, 2], [4, 36, 1, 3], [6, 2, 1, 6], [6, 4, 1, 7], [6, 8, 1, 2], [6, 12, 1, 2], [12, 4, 2, 2], [12, 6, 4, 1], [12, 8, 1, 2], [12, 8, 2, 2], [12, 12, 1, 2], [12, 12, 2, 3], [12, 24, 1, 2]], 'element_repr_type': 'PC', 'elementary': 1, 'eulerian_function': 3407040, 'exponent': 12, 'exponents_of_order': [6, 2], 'factors_of_aut_order': [2, 3], 'factors_of_order': [2, 3], 'faithful_reps': [], 'familial': False, 'frattini_label': '4.2', 'frattini_quotient': '144.192', 'hash': 6038, 'hyperelementary': 1, 'id': 286550, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 6, 'inner_gen_orders': [2, 2, 6, 6], 'inner_gens': [[1, 2, 20, 360], [1, 2, 292, 360], [33, 290, 4, 528], [313, 314, 100, 48]], 'inner_hash': 192, 'inner_nilpotent': False, 'inner_order': 144, 'inner_split': True, 'inner_tex': 'D_6^2', 'inner_used': [1, 2, 3, 4], 'irrC_degree': -1, 'irrQ_degree': -1, 'irrQ_dim': -1, 'irrR_degree': -1, 'irrep_stats': [[1, 16], [2, 32], [4, 19], [8, 2]], 'label': '576.6038', 'linC_count': 304, 'linC_degree': 6, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': 10, 'linQ_degree_count': 968, 'linQ_dim': 12, 'linQ_dim_count': 957, 'linR_count': 192, 'linR_degree': 10, 'maximal_subgroups_known': True, 'metabelian': True, 'metacyclic': False, 'monomial': True, 'name': 'C2^2.D6^2', '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], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 48, 'number_characteristic_subgroups': 120, 'number_conjugacy_classes': 69, 'number_divisions': 57, 'number_normal_subgroups': 146, 'number_subgroup_autclasses': 440, 'number_subgroup_classes': 493, 'number_subgroups': 1916, 'old_label': None, 'order': 576, 'order_factorization_type': 32, 'order_stats': [[1, 1], [2, 19], [3, 8], [4, 236], [6, 80], [12, 232]], 'outer_abelian': True, 'outer_cyclic': False, 'outer_equivalence': False, 'outer_exponent': 2, 'outer_gen_orders': [2, 2, 2, 2, 2, 2], 'outer_gen_pows': [0, 0, 0, 0, 0, 0], 'outer_gens': [[25, 2, 20, 48], [289, 2, 20, 48], [1, 26, 20, 48], [1, 290, 20, 240], [1, 2, 44, 240], [1, 2, 20, 72]], 'outer_group': '64.267', 'outer_hash': 267, 'outer_nilpotent': True, 'outer_order': 64, 'outer_permdeg': 12, 'outer_perms': [39916800, 362880, 5040, 120, 6, 1], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'C_2^6', 'pc_rank': 4, 'perfect': False, 'permutation_degree': 22, 'pgroup': 0, 'primary_abelian_invariants': [2, 2, 2, 2], 'quasisimple': False, 'rank': 4, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 16], [2, 20], [4, 13], [8, 8]], 'representations': {'PC': {'code': 6781005445350279285016204531833167971048192175625, 'gens': [1, 2, 3, 6], 'pres': [8, 2, 2, 2, 2, 3, 2, 2, 3, 201, 482, 3514, 66, 1283, 91, 1284, 17285, 8653, 6357, 141, 6742, 166, 6167]}, 'GLZN': {'d': 2, 'p': 90, 'gens': [33232365, 51759071, 729019, 56707717, 39286873, 1097596, 44714731, 13851019]}, 'Perm': {'d': 22, 'gens': [51340634752546949176, 109621485756674519183, 163492082011754496000, 209248822998323826480, 51347038433927045040, 51347038427612928000, 325, 435]}}, 'schur_multiplier': [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_2^2.D_6^2', 'transitive_degree': 96, 'wreath_data': None, 'wreath_product': False}