Query:
/api/gps_groups/?_offset=0
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '9.2', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 5, 'aut_exponent': 24, 'aut_gen_orders': [6, 6, 8], 'aut_gens': [[29293137, 11554450, 1305911, 14412736, 11244463, 16299070, 22055597], [29293137, 26273013, 1305911, 29476845, 35361601, 20570132, 9853282], [29293137, 41151149, 29656017, 14775616, 31347627, 7175274, 32593971], [29472309, 40971977, 1305911, 1494155, 35547334, 15953605, 42812618]], 'aut_group': '2592.fv', 'aut_hash': 9019849488891309561, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 2592, 'aut_permdeg': 72, 'aut_perms': [22361919861312875645066590502945746718411441224074369478273685243476273893520240670377131471337039273894, 34420882683455038908012169537334924099801887334622351186792424991652859316506728066655234746667816824749, 22430394933470845672066076032861357957980550847029314787455029982358792867912620593690642802267047840690], 'aut_phi_ratio': 12.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 9, 1, 1], [3, 1, 2, 1], [3, 8, 1, 1], [3, 8, 2, 1], [3, 12, 6, 1], [3, 24, 6, 1], [4, 54, 1, 1], [6, 9, 2, 1], [6, 36, 6, 1], [12, 54, 2, 1]], 'aut_supersolvable': False, 'aut_tex': 'S_3\\times C_3^2:\\GL(2,3)', 'autcent_abelian': False, 'autcent_cyclic': False, 'autcent_exponent': 6, 'autcent_group': '6.1', 'autcent_hash': 1, 'autcent_nilpotent': False, 'autcent_order': 6, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': True, 'autcent_tex': 'S_3', '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, 9, 1], [3, 1, 2], [3, 8, 3], [3, 12, 6], [3, 24, 6], [4, 54, 1], [6, 9, 2], [6, 36, 6], [12, 54, 2]], 'center_label': '3.1', 'center_order': 3, 'central_product': True, 'central_quotient': '216.153', 'commutator_count': 1, 'commutator_label': '72.41', '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': 702, 'cyclic': False, 'derived_length': 4, 'dihedral': False, 'direct_factorization': [['216.153', 1], ['3.1', 1]], 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 9, 1, 1], [3, 1, 2, 1], [3, 8, 1, 1], [3, 8, 2, 1], [3, 12, 2, 3], [3, 24, 2, 3], [4, 54, 1, 1], [6, 9, 2, 1], [6, 36, 2, 3], [12, 54, 2, 1]], 'element_repr_type': 'GLFp', 'elementary': 1, 'eulerian_function': 64, 'exponent': 12, 'exponents_of_order': [4, 3], 'factors_of_aut_order': [2, 3], 'factors_of_order': [2, 3], 'faithful_reps': [[8, 0, 6]], 'familial': False, 'frattini_label': '1.1', 'frattini_quotient': '648.702', 'hash': 702, 'hyperelementary': 1, 'id': 319981, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 12, 'inner_gen_orders': [3, 2, 1, 3, 6, 4, 4], 'inner_gens': [[29293137, 26439306, 1305911, 14412736, 26487906, 2849048, 21869621], [1124471, 11554450, 1305911, 1308179, 26487906, 31017714, 7356714], [29293137, 11554450, 1305911, 14412736, 11244463, 16299070, 22055597], [29293137, 40971977, 1305911, 14412736, 41372603, 3015341, 6991566], [1310447, 41151149, 1305911, 1122203, 11244463, 13237870, 9853282], [14594176, 26087037, 1305911, 14591908, 20589329, 16299070, 5689809], [1310447, 41317442, 1305911, 14777884, 12945379, 24547626, 22055597]], 'inner_hash': 153, 'inner_nilpotent': False, 'inner_order': 216, 'inner_split': True, 'inner_tex': '\\PU(3,2)', 'inner_used': [1, 2, 4, 5, 6], 'irrC_degree': 8, 'irrQ_degree': 16, 'irrQ_dim': 16, 'irrR_degree': 16, 'irrep_stats': [[1, 9], [2, 9], [3, 3], [8, 9]], 'label': '648.702', 'linC_count': 6, 'linC_degree': 8, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': 10, 'linQ_degree_count': 3, 'linQ_dim': 10, 'linQ_dim_count': 3, 'linR_count': 3, 'linR_degree': 10, 'maximal_subgroups_known': True, 'metabelian': False, 'metacyclic': False, 'monomial': False, 'name': 'C3^3:SL(2,3)', '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': 11, 'number_characteristic_subgroups': 9, 'number_conjugacy_classes': 30, 'number_divisions': 17, 'number_normal_subgroups': 12, 'number_subgroup_autclasses': 45, 'number_subgroup_classes': 68, 'number_subgroups': 704, 'old_label': None, 'order': 648, 'order_factorization_type': 33, 'order_stats': [[1, 1], [2, 9], [3, 242], [4, 54], [6, 234], [12, 108]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': False, 'outer_exponent': 6, 'outer_gen_orders': [2, 6], 'outer_gen_pows': [14408200, 14408200], 'outer_gens': [[29293137, 11554450, 29656017, 29660553, 41188895, 2665340, 22055597], [1310447, 41151149, 29656017, 14596444, 26525409, 17873302, 20408132]], 'outer_group': '12.4', 'outer_hash': 4, 'outer_nilpotent': False, 'outer_order': 12, 'outer_permdeg': 5, 'outer_perms': [7, 49], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'D_6', 'pc_rank': 5, 'perfect': False, 'permutation_degree': 12, 'pgroup': 0, 'primary_abelian_invariants': [3, 3], 'quasisimple': False, 'rank': 2, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 1], [2, 5], [3, 1], [4, 4], [6, 1], [8, 1], [16, 4]], 'representations': {'PC': {'code': 94609370495428746023443528941516825142388551, 'gens': [1, 2, 3, 6, 7], 'pres': [7, -3, -2, 2, -2, -3, -3, 3, 295, 176, 569, 303, 58, 80, 12101, 7068, 1531, 530, 9421, 1196, 1791]}, 'GLFp': {'d': 4, 'p': 3, 'gens': [29293137, 11554450, 1305911, 14412736, 11244463, 16299070, 22055597]}, 'Perm': {'d': 12, 'gens': [9152763, 3, 12557040, 7348464, 15296640, 56049984, 98724480]}}, 'schur_multiplier': [3, 3], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [3, 3], 'solvability_type': 12, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': False, 'sylow_subgroups_known': True, 'tex_name': 'C_3^3:\\SL(2,3)', 'transitive_degree': 24, 'wreath_data': None, 'wreath_product': False}