Query:
/api/gps_groups/?_offset=0
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '12.2', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 5, 'aut_exponent': 24, 'aut_gen_orders': [4, 3, 6, 3, 2, 6, 2, 4, 2], 'aut_gens': [[1, 12, 36], [1, 96, 60], [49, 12, 36], [19, 12, 72], [73, 12, 36], [5, 12, 36], [41, 12, 48], [7, 24, 72], [61, 84, 96], [25, 24, 72]], 'aut_group': '1728.47845', 'aut_hash': 47845, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 1728, 'aut_permdeg': 13, 'aut_perms': [248332440, 2538079200, 621992887, 3154677120, 16, 1140992056, 136095247, 1437182640, 1975534560], 'aut_phi_ratio': 48.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [3, 1, 2, 1], [3, 2, 4, 1], [3, 2, 8, 1], [4, 9, 2, 1], [6, 1, 2, 1], [6, 2, 4, 1], [6, 2, 8, 1], [12, 9, 4, 1]], 'aut_supersolvable': False, 'aut_tex': 'C_6^2:\\GL(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': 24, 'autcentquo_group': '432.734', 'autcentquo_hash': 734, 'autcentquo_nilpotent': False, 'autcentquo_order': 432, 'autcentquo_solvable': True, 'autcentquo_supersolvable': False, 'autcentquo_tex': 'C_3^2:\\GL(2,3)', 'cc_stats': [[1, 1, 1], [2, 1, 1], [3, 1, 2], [3, 2, 12], [4, 9, 2], [6, 1, 2], [6, 2, 12], [12, 9, 4]], 'center_label': '6.2', 'center_order': 6, 'central_product': True, 'central_quotient': '18.4', 'commutator_count': 1, 'commutator_label': '9.2', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '3.1', '3.1', '3.1'], 'composition_length': 5, 'conjugacy_classes_known': True, 'counter': 33, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [['3.1', 1], ['36.7', 1]], 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [3, 1, 2, 1], [3, 2, 1, 4], [3, 2, 2, 4], [4, 9, 2, 1], [6, 1, 2, 1], [6, 2, 1, 4], [6, 2, 2, 4], [12, 9, 4, 1]], 'element_repr_type': 'PC', 'elementary': 1, 'eulerian_function': 364, 'exponent': 12, 'exponents_of_order': [3, 2], 'factors_of_aut_order': [2, 3], 'factors_of_order': [2, 3], 'faithful_reps': [], 'familial': False, 'frattini_label': '2.1', 'frattini_quotient': '54.13', 'hash': 33, 'hyperelementary': 1, 'id': 10906, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 6, 'inner_gen_orders': [2, 3, 3], 'inner_gens': [[1, 24, 72], [25, 12, 36], [73, 12, 36]], 'inner_hash': 4, 'inner_nilpotent': False, 'inner_order': 18, 'inner_split': False, 'inner_tex': 'C_3:S_3', 'inner_used': [1, 2, 3], 'irrC_degree': -1, 'irrQ_degree': -1, 'irrQ_dim': -1, 'irrR_degree': -1, 'irrep_stats': [[1, 12], [2, 24]], 'label': '108.33', 'linC_count': 144, 'linC_degree': 4, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': 6, 'linQ_degree_count': 72, 'linQ_dim': 6, 'linQ_dim_count': 12, 'linR_count': 24, 'linR_degree': 6, 'maximal_subgroups_known': True, 'metabelian': True, 'metacyclic': False, 'monomial': True, 'name': 'C3^2:C12', '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': 10, 'number_characteristic_subgroups': 10, 'number_conjugacy_classes': 36, 'number_divisions': 22, 'number_normal_subgroups': 26, 'number_subgroup_autclasses': 22, 'number_subgroup_classes': 52, 'number_subgroups': 100, 'old_label': None, 'order': 108, 'order_factorization_type': 32, 'order_stats': [[1, 1], [2, 1], [3, 26], [4, 18], [6, 26], [12, 36]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': False, 'outer_exponent': 12, 'outer_gen_orders': [2, 2, 6, 2, 2], 'outer_gen_pows': [0, 0, 0, 1, 1], 'outer_gens': [[7, 12, 36], [11, 72, 24], [5, 72, 84], [1, 60, 48], [1, 72, 12]], 'outer_group': '96.226', 'outer_hash': 226, 'outer_nilpotent': False, 'outer_order': 96, 'outer_permdeg': 8, 'outer_perms': [7, 120, 1456, 11520, 5160], 'outer_solvable': True, 'outer_supersolvable': False, 'outer_tex': 'C_2^2\\times S_4', 'pc_rank': 3, 'perfect': False, 'permutation_degree': 13, 'pgroup': 0, 'primary_abelian_invariants': [4, 3], 'quasisimple': False, 'rank': 3, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 2], [2, 11], [4, 9]], 'representations': {'PC': {'code': 679321540711, 'gens': [1, 4, 5], 'pres': [5, -2, -2, -3, -3, -3, 10, 26, 483, 1804]}, 'GLZ': {'b': 3, 'd': 6, 'gens': [125124616718760253, 58415899998881273, 125101732552035792]}, 'GLFp': {'d': 4, 'p': 3, 'gens': [23411674, 17625105, 27630278, 28816400, 14854413]}, 'Perm': {'d': 13, 'gens': [486985089, 1085051520, 16, 1124928840, 1557159240]}}, 'schur_multiplier': [3], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [12], 'solvability_type': 7, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'C_3^2:C_{12}', 'transitive_degree': 36, 'wreath_data': None, 'wreath_product': False}