Query:
/api/gps_groups/?_offset=0
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '24.9', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 3, 'aut_exponent': 12, 'aut_gen_orders': [2, 2, 2, 2, 2, 2, 3, 3], 'aut_gens': [[1, 6, 72], [1, 66, 72], [20, 183, 48], [5, 6, 72], [5, 42, 72], [37, 66, 144], [37, 42, 72], [49, 6, 72], [1, 78, 72]], 'aut_group': '576.8418', 'aut_hash': 8418, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 576, 'aut_permdeg': 12, 'aut_perms': [41091120, 5328, 127, 6, 367920, 126, 134305920, 130682160], 'aut_phi_ratio': 8.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 9, 2, 1], [3, 1, 2, 1], [3, 2, 2, 1], [3, 2, 4, 1], [3, 4, 1, 1], [3, 4, 2, 1], [4, 3, 4, 1], [6, 1, 2, 1], [6, 2, 2, 1], [6, 2, 4, 1], [6, 4, 1, 1], [6, 4, 2, 1], [6, 9, 4, 1], [12, 3, 8, 1], [12, 6, 4, 1], [12, 6, 8, 1]], 'aut_supersolvable': False, 'aut_tex': 'D_6^2:C_2^2', 'autcent_abelian': True, 'autcent_cyclic': False, 'autcent_exponent': 2, 'autcent_group': '8.5', 'autcent_hash': 5, 'autcent_nilpotent': True, 'autcent_order': 8, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': True, 'autcent_tex': 'C_2^3', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 12, 'autcentquo_group': '72.40', 'autcentquo_hash': 40, 'autcentquo_nilpotent': False, 'autcentquo_order': 72, 'autcentquo_solvable': True, 'autcentquo_supersolvable': False, 'autcentquo_tex': '\\SOPlus(4,2)', 'cc_stats': [[1, 1, 1], [2, 1, 1], [2, 9, 2], [3, 1, 2], [3, 2, 6], [3, 4, 3], [4, 3, 4], [6, 1, 2], [6, 2, 6], [6, 4, 3], [6, 9, 4], [12, 3, 8], [12, 6, 12]], 'center_label': '6.2', 'center_order': 6, 'central_product': True, 'central_quotient': '36.10', 'commutator_count': 1, 'commutator_label': '9.2', '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': 120, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [['3.1', 1], ['72.21', 1]], 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 9, 1, 2], [3, 1, 2, 1], [3, 2, 1, 2], [3, 2, 2, 2], [3, 4, 1, 1], [3, 4, 2, 1], [4, 3, 2, 2], [6, 1, 2, 1], [6, 2, 1, 2], [6, 2, 2, 2], [6, 4, 1, 1], [6, 4, 2, 1], [6, 9, 2, 2], [12, 3, 4, 2], [12, 6, 2, 2], [12, 6, 4, 2]], 'element_repr_type': 'PC', 'elementary': 1, 'eulerian_function': 12, 'exponent': 12, 'exponents_of_order': [3, 3], 'factors_of_aut_order': [2, 3], 'factors_of_order': [2, 3], 'faithful_reps': [[4, 0, 2]], 'familial': False, 'frattini_label': '2.1', 'frattini_quotient': '108.38', 'hash': 120, 'hyperelementary': 1, 'id': 143516, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 6, 'inner_gen_orders': [2, 6, 3], 'inner_gens': [[1, 30, 72], [49, 6, 144], [1, 150, 72]], 'inner_hash': 10, 'inner_nilpotent': False, 'inner_order': 36, 'inner_split': True, 'inner_tex': 'S_3^2', 'inner_used': [1, 2, 3], 'irrC_degree': 4, 'irrQ_degree': 8, 'irrQ_dim': 8, 'irrR_degree': 8, 'irrep_stats': [[1, 24], [2, 24], [4, 6]], 'label': '216.120', 'linC_count': 98, 'linC_degree': 4, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': 6, 'linQ_degree_count': 4, 'linQ_dim': 6, 'linQ_dim_count': 4, 'linR_count': 36, 'linR_degree': 6, 'maximal_subgroups_known': True, 'metabelian': True, 'metacyclic': False, 'monomial': True, 'name': 'C6.S3^2', 'ngens': 6, 'nilpotency_class': -1, 'nilpotent': False, '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': 18, 'number_characteristic_subgroups': 12, 'number_conjugacy_classes': 54, 'number_divisions': 28, 'number_normal_subgroups': 32, 'number_subgroup_autclasses': 56, 'number_subgroup_classes': 90, 'number_subgroups': 268, 'old_label': None, 'order': 216, 'order_factorization_type': 33, 'order_stats': [[1, 1], [2, 19], [3, 26], [4, 12], [6, 62], [12, 96]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': False, 'outer_exponent': 4, 'outer_gen_orders': [2, 2, 2, 2], 'outer_gen_pows': [0, 0, 0, 0], 'outer_gens': [[58, 111, 24], [37, 30, 144], [41, 42, 144], [37, 42, 144]], 'outer_group': '16.11', 'outer_hash': 11, 'outer_nilpotent': True, 'outer_order': 16, 'outer_permdeg': 6, 'outer_perms': [288, 7, 127, 126], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'C_2\\times D_4', 'pc_rank': 3, 'perfect': False, 'permutation_degree': 13, 'pgroup': 0, 'primary_abelian_invariants': [2, 4, 3], 'quasisimple': False, 'rank': 2, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 4], [2, 10], [4, 10], [8, 4]], 'representations': {'PC': {'code': 1492800318842091901842387, 'gens': [1, 3, 6], 'pres': [6, -2, -3, -2, -2, -3, -3, 12, 223, 542, 50, 1443, 69, 1444, 881]}, 'GLZ': {'b': 3, 'd': 6, 'gens': [125101743041088268, 125101750005089673, 41624324258145997]}, 'GLZN': {'d': 2, 'p': 26, 'gens': [439425, 17585, 325512, 235833, 158193, 167332]}, 'Perm': {'d': 13, 'gens': [408376, 40325040, 325, 806400, 518918400, 435]}}, 'schur_multiplier': [2], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 12], 'solvability_type': 7, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'C_6.S_3^2', 'transitive_degree': 24, 'wreath_data': None, 'wreath_product': False}