Query:
/api/gps_groups/?_offset=0
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '8.2', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 3, 'aut_exponent': 36, 'aut_gen_orders': [12, 6, 6, 18, 18], 'aut_gens': [[1, 2, 72], [234, 193, 32], [29, 262, 72], [37, 470, 504], [9, 110, 576], [1, 110, 72]], 'aut_group': '23328.gc', 'aut_hash': 7569236614810804404, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 23328, 'aut_permdeg': 36, 'aut_perms': [41934112971103591724215688563048868927429, 36094499839620227939040309583540240444807, 10606783763355732983428265538877176247375, 361504249694493804512337312020463911683615, 95854181225926194224331672306492098214], 'aut_phi_ratio': 108.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 81, 2, 1], [3, 2, 2, 1], [3, 4, 1, 1], [4, 9, 4, 1], [6, 2, 2, 1], [6, 4, 1, 1], [9, 2, 6, 1], [9, 4, 6, 1], [9, 4, 9, 1], [12, 18, 4, 1], [18, 2, 6, 1], [18, 4, 6, 1], [18, 4, 9, 1], [36, 18, 12, 1]], 'aut_supersolvable': False, 'aut_tex': 'C_9^2.C_6^2.C_2^3', 'autcent_abelian': True, 'autcent_cyclic': False, 'autcent_exponent': 2, 'autcent_group': '4.2', 'autcent_hash': 2, 'autcent_nilpotent': True, 'autcent_order': 4, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': True, 'autcent_tex': 'C_2^2', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 36, 'autcentquo_group': '5832.cf', 'autcentquo_hash': 6199611688978244331, 'autcentquo_nilpotent': False, 'autcentquo_order': 5832, 'autcentquo_solvable': True, 'autcentquo_supersolvable': False, 'autcentquo_tex': 'C_3^4.\\SOPlus(4,2)', 'cc_stats': [[1, 1, 1], [2, 1, 1], [2, 81, 2], [3, 2, 2], [3, 4, 1], [4, 9, 4], [6, 2, 2], [6, 4, 1], [9, 2, 6], [9, 4, 15], [12, 18, 4], [18, 2, 6], [18, 4, 15], [36, 18, 12]], 'center_label': '2.1', 'center_order': 2, 'central_product': True, 'central_quotient': '324.36', 'commutator_count': 1, 'commutator_label': '81.2', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '2.1', '3.1', '3.1', '3.1', '3.1'], 'composition_length': 7, 'conjugacy_classes_known': True, 'counter': 47, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [], 'direct_product': False, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 81, 1, 2], [3, 2, 1, 2], [3, 4, 1, 1], [4, 9, 2, 2], [6, 2, 1, 2], [6, 4, 1, 1], [9, 2, 3, 2], [9, 4, 3, 5], [12, 18, 2, 2], [18, 2, 3, 2], [18, 4, 3, 5], [36, 18, 6, 2]], 'element_repr_type': 'PC', 'elementary': 1, 'eulerian_function': 3, 'exponent': 36, 'exponents_of_order': [4, 3], 'factors_of_aut_order': [2, 3], 'factors_of_order': [2, 3], 'faithful_reps': [[4, 1, 9]], 'familial': False, 'frattini_label': '18.5', 'frattini_quotient': '36.10', 'hash': 47, 'hyperelementary': 1, 'id': 290790, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 18, 'inner_gen_orders': [2, 18, 9], 'inner_gens': [[1, 34, 72], [41, 2, 576], [1, 146, 72]], 'inner_hash': 36, 'inner_nilpotent': False, 'inner_order': 324, 'inner_split': True, 'inner_tex': 'D_9^2', 'inner_used': [1, 2, 3], 'irrC_degree': 4, 'irrQ_degree': 12, 'irrQ_dim': 12, 'irrR_degree': 4, 'irrep_stats': [[1, 8], [2, 32], [4, 32]], 'label': '648.47', 'linC_count': 117, 'linC_degree': 4, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': 12, 'linQ_degree_count': 3, 'linQ_dim': 12, 'linQ_dim_count': 3, 'linR_count': 9, 'linR_degree': 4, 'maximal_subgroups_known': True, 'metabelian': True, 'metacyclic': False, 'monomial': True, 'name': 'C18.D18', '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], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 16, 'number_characteristic_subgroups': 8, 'number_conjugacy_classes': 72, 'number_divisions': 30, 'number_normal_subgroups': 28, 'number_subgroup_autclasses': 55, 'number_subgroup_classes': 107, 'number_subgroups': 1250, 'old_label': None, 'order': 648, 'order_factorization_type': 33, 'order_stats': [[1, 1], [2, 163], [3, 8], [4, 36], [6, 8], [9, 72], [12, 72], [18, 72], [36, 216]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': False, 'outer_exponent': 12, 'outer_gen_orders': [6, 2, 6], 'outer_gen_pows': [0, 0, 0], 'outer_gens': [[37, 46, 144], [18, 505, 8], [1, 38, 144]], 'outer_group': '72.30', 'outer_hash': 30, 'outer_nilpotent': False, 'outer_order': 72, 'outer_permdeg': 10, 'outer_perms': [458647, 1901656, 448566], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'C_6\\wr C_2', 'pc_rank': 3, 'perfect': False, 'permutation_degree': 22, 'pgroup': 0, 'primary_abelian_invariants': [2, 4], 'quasisimple': False, 'rank': 2, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 4], [2, 6], [4, 4], [6, 4], [12, 12]], 'representations': {'PC': {'code': 226004660636656550057337281125313279887, 'gens': [1, 2, 6], 'pres': [7, -2, -2, -2, -3, -3, -3, -3, 252, 477, 36, 1430, 58, 1795, 108, 1684, 12108, 166, 10597]}, 'Perm': {'d': 22, 'gens': [522560250, 5353514249165107200, 1037836800, 58754648881184256000, 57622, 112420765416960000000, 104154]}}, 'schur_multiplier': [2], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 4], 'solvability_type': 7, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'C_{18}.D_{18}', 'transitive_degree': 36, 'wreath_data': None, 'wreath_product': False}