Query:
/api/gps_groups/?_offset=0
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '2.1', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 3, 'aut_exponent': 36, 'aut_gen_orders': [6, 9, 2, 2], 'aut_gens': [[1, 2, 18, 36], [1, 4, 54, 36], [15, 2, 36, 54], [37, 38, 18, 36], [37, 20, 18, 36]], 'aut_group': '216.90', 'aut_hash': 90, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 216, 'aut_permdeg': 13, 'aut_perms': [90887765, 1089856203, 7, 23], 'aut_phi_ratio': 9.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 3, 1, 1], [2, 18, 1, 1], [3, 2, 1, 1], [4, 18, 1, 1], [6, 6, 1, 1], [9, 8, 3, 1]], 'aut_supersolvable': False, 'aut_tex': 'C_3^2.S_4', 'autcent_abelian': True, 'autcent_cyclic': True, 'autcent_exponent': 1, 'autcent_group': '1.1', 'autcent_hash': 1, 'autcent_nilpotent': True, 'autcent_order': 1, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': True, 'autcent_tex': 'C_1', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 36, 'autcentquo_group': '216.90', 'autcentquo_hash': 90, 'autcentquo_nilpotent': False, 'autcentquo_order': 216, 'autcentquo_solvable': True, 'autcentquo_supersolvable': False, 'autcentquo_tex': 'C_3^2.S_4', 'cc_stats': [[1, 1, 1], [2, 3, 1], [2, 18, 1], [3, 2, 1], [4, 18, 1], [6, 6, 1], [9, 8, 3]], 'center_label': '1.1', 'center_order': 1, 'central_product': False, 'central_quotient': '72.15', 'commutator_count': 1, 'commutator_label': '36.3', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '2.1', '3.1', '3.1'], 'composition_length': 5, 'conjugacy_classes_known': True, 'counter': 15, 'cyclic': False, 'derived_length': 3, 'dihedral': False, 'direct_factorization': [], 'direct_product': False, 'div_stats': [[1, 1, 1, 1], [2, 3, 1, 1], [2, 18, 1, 1], [3, 2, 1, 1], [4, 18, 1, 1], [6, 6, 1, 1], [9, 8, 3, 1]], 'element_repr_type': 'PC', 'elementary': 1, 'eulerian_function': 9, 'exponent': 36, 'exponents_of_order': [3, 2], 'factors_of_aut_order': [2, 3], 'factors_of_order': [2, 3], 'faithful_reps': [[6, 1, 1]], 'familial': False, 'frattini_label': '3.1', 'frattini_quotient': '24.12', 'hash': 15, 'hyperelementary': 1, 'id': 157782, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 36, 'inner_gen_orders': [2, 9, 2, 2], 'inner_gens': [[1, 16, 54, 36], [5, 2, 54, 18], [37, 38, 18, 36], [1, 56, 18, 36]], 'inner_hash': 15, 'inner_nilpotent': False, 'inner_order': 72, 'inner_split': True, 'inner_tex': 'C_2^2:D_9', 'inner_used': [1, 2, 3], 'irrC_degree': 6, 'irrQ_degree': 6, 'irrQ_dim': 6, 'irrR_degree': 6, 'irrep_stats': [[1, 2], [2, 4], [3, 2], [6, 1]], 'label': '72.15', 'linC_count': 6, 'linC_degree': 5, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': 6, 'linQ_degree_count': 1, 'linQ_dim': 6, 'linQ_dim_count': 1, 'linR_count': 6, 'linR_degree': 5, 'maximal_subgroups_known': True, 'metabelian': False, 'metacyclic': False, 'monomial': True, 'name': 'C2^2:D9', 'ngens': 5, 'nilpotency_class': -1, 'nilpotent': False, 'normal_counts': [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': 7, 'number_characteristic_subgroups': 6, 'number_conjugacy_classes': 9, 'number_divisions': 7, 'number_normal_subgroups': 6, 'number_subgroup_autclasses': 18, 'number_subgroup_classes': 18, 'number_subgroups': 80, 'old_label': None, 'order': 72, 'order_factorization_type': 32, 'order_stats': [[1, 1], [2, 21], [3, 2], [4, 18], [6, 6], [9, 24]], 'outer_abelian': True, 'outer_cyclic': True, 'outer_equivalence': False, 'outer_exponent': 3, 'outer_gen_orders': [3], 'outer_gen_pows': [0], 'outer_gens': [[1, 8, 18, 36]], 'outer_group': '3.1', 'outer_hash': 1, 'outer_nilpotent': True, 'outer_order': 3, 'outer_permdeg': 3, 'outer_perms': [3], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'C_3', 'pc_rank': 4, 'perfect': False, 'permutation_degree': 13, 'pgroup': 0, 'primary_abelian_invariants': [2], 'quasisimple': False, 'rank': 2, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 2], [2, 1], [3, 2], [6, 2]], 'representations': {'PC': {'code': 3057659244760652, 'gens': [1, 2, 4, 5], 'pres': [5, -2, -3, -3, -2, 2, 161, 36, 182, 1083, 548, 234]}, 'GLZ': {'b': 3, 'd': 6, 'gens': [69485621029890892, 78750816549566953]}, 'GLZN': {'d': 2, 'p': 36, 'gens': [47089, 1342423, 1656919, 909811, 70633]}, 'Perm': {'d': 13, 'gens': [39929815, 43603258, 104227, 482630400, 1037836800]}}, 'schur_multiplier': [2], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2], 'solvability_type': 11, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': False, 'sylow_subgroups_known': True, 'tex_name': 'C_2^2:D_9', 'transitive_degree': 18, 'wreath_data': None, 'wreath_product': False}