Query:
/api/gps_groups/?_offset=0
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '36.14', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 3, 'aut_exponent': 12, 'aut_gen_orders': [2, 6, 6, 6], 'aut_gens': [[1, 6], [73, 102], [1, 118], [199, 114], [109, 150]], 'aut_group': '432.390', 'aut_hash': 390, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 432, 'aut_permdeg': 13, 'aut_perms': [15054600, 3154893856, 18518402, 566225303], 'aut_phi_ratio': 6.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 2, 2, 1], [3, 1, 2, 1], [3, 3, 1, 2], [4, 2, 1, 1], [6, 1, 2, 1], [6, 2, 4, 1], [6, 3, 1, 2], [6, 6, 2, 2], [9, 3, 6, 1], [12, 2, 2, 1], [12, 6, 1, 2], [18, 3, 6, 1], [18, 6, 12, 1], [36, 6, 6, 1]], 'aut_supersolvable': True, 'aut_tex': 'C_6^2:D_6', 'autcent_abelian': True, 'autcent_cyclic': False, 'autcent_exponent': 6, 'autcent_group': '36.14', 'autcent_hash': 14, 'autcent_nilpotent': True, 'autcent_order': 36, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': True, 'autcent_tex': 'C_6^2', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 6, 'autcentquo_group': '12.4', 'autcentquo_hash': 4, 'autcentquo_nilpotent': False, 'autcentquo_order': 12, 'autcentquo_solvable': True, 'autcentquo_supersolvable': True, 'autcentquo_tex': 'D_6', 'cc_stats': [[1, 1, 1], [2, 1, 1], [2, 2, 2], [3, 1, 2], [3, 3, 2], [4, 2, 1], [6, 1, 2], [6, 2, 4], [6, 3, 2], [6, 6, 4], [9, 3, 6], [12, 2, 2], [12, 6, 2], [18, 3, 6], [18, 6, 12], [36, 6, 6]], 'center_label': '6.2', 'center_order': 6, 'central_product': True, 'central_quotient': '36.14', 'commutator_count': 1, 'commutator_label': '6.2', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '2.1', '3.1', '3.1', '3.1'], 'composition_length': 6, 'conjugacy_classes_known': True, 'counter': 78, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [['27.4', 1], ['8.3', 1]], 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 2, 1, 2], [3, 1, 2, 1], [3, 3, 2, 1], [4, 2, 1, 1], [6, 1, 2, 1], [6, 2, 2, 2], [6, 3, 2, 1], [6, 6, 2, 2], [9, 3, 2, 3], [12, 2, 2, 1], [12, 6, 2, 1], [18, 3, 2, 3], [18, 6, 2, 6], [36, 6, 2, 3]], 'element_repr_type': 'PC', 'elementary': 1, 'eulerian_function': 24, 'exponent': 36, 'exponents_of_order': [3, 3], 'factors_of_aut_order': [2, 3], 'factors_of_order': [2, 3], 'faithful_reps': [[6, 0, 2]], 'familial': False, 'frattini_label': '6.2', 'frattini_quotient': '36.14', 'hash': 78, 'hyperelementary': 1, 'id': 143588, 'inner_abelian': True, 'inner_cyclic': False, 'inner_exponent': 6, 'inner_gen_orders': [6, 6], 'inner_gens': [[1, 42], [181, 6]], 'inner_hash': 14, 'inner_nilpotent': True, 'inner_order': 36, 'inner_split': True, 'inner_tex': 'C_6^2', 'inner_used': [1, 2], 'irrC_degree': 6, 'irrQ_degree': 12, 'irrQ_dim': 12, 'irrR_degree': 12, 'irrep_stats': [[1, 36], [2, 9], [3, 8], [6, 2]], 'label': '216.78', 'linC_count': 72, 'linC_degree': 5, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': 8, 'linQ_degree_count': 4, 'linQ_dim': 8, 'linQ_dim_count': 4, 'linR_count': 4, 'linR_degree': 8, 'maximal_subgroups_known': True, 'metabelian': True, 'metacyclic': True, 'monomial': True, 'name': 'C36:C6', 'ngens': 6, 'nilpotency_class': 2, 'nilpotent': True, 'normal_counts': [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': 20, 'number_characteristic_subgroups': 16, 'number_conjugacy_classes': 55, 'number_divisions': 30, 'number_normal_subgroups': 42, 'number_subgroup_autclasses': 36, 'number_subgroup_classes': 64, 'number_subgroups': 100, 'old_label': None, 'order': 216, 'order_factorization_type': 33, 'order_stats': [[1, 1], [2, 5], [3, 8], [4, 2], [6, 40], [9, 18], [12, 16], [18, 90], [36, 36]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': False, 'outer_exponent': 6, 'outer_gen_orders': [2, 6], 'outer_gen_pows': [2, 18], 'outer_gens': [[1, 174], [55, 8]], 'outer_group': '12.4', 'outer_hash': 4, 'outer_nilpotent': False, 'outer_order': 12, 'outer_permdeg': 5, 'outer_perms': [6, 31], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'D_6', 'pc_rank': 2, 'perfect': False, 'permutation_degree': 13, 'pgroup': 0, 'primary_abelian_invariants': [2, 2, 3, 3], 'quasisimple': False, 'rank': 2, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 4], [2, 17], [4, 4], [6, 4], [12, 1]], 'representations': {'PC': {'code': 69322736589647798418436224851, 'gens': [1, 3], 'pres': [6, -2, -3, -2, -2, -3, -3, 12, 758, 710, 50, 2019, 1881, 69, 5044, 1450, 118]}, 'GLZN': {'d': 2, 'p': 36, 'gens': [1166413, 47305, 793493, 887113, 47089, 638377]}, 'Perm': {'d': 13, 'gens': [479001600, 1037836800, 357120, 243, 482630400, 80884]}}, 'schur_multiplier': [2], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [6, 6], 'solvability_type': 3, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'C_{36}:C_6', 'transitive_degree': 36, 'wreath_data': None, 'wreath_product': False}