Query:
/api/gps_groups/?_offset=0
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '16.14', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 3, 'aut_exponent': 12, 'aut_gen_orders': [6, 4, 12, 2, 4, 12, 4], 'aut_gens': [[1, 2, 12, 72], [462, 461, 616, 504], [462, 49, 40, 72], [441, 482, 276, 360], [433, 10, 372, 792], [54, 461, 476, 504], [9, 442, 804, 72], [486, 53, 44, 360]], 'aut_group': None, 'aut_hash': 6528047444125705449, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 13824, 'aut_permdeg': 24, 'aut_perms': [483581382331386588892625, 488566702281065561832942, 33128755586980361310728, 110577875417012822454490, 178289583429626392954263, 599520755555387887762595, 433541511948192014669699], 'aut_phi_ratio': 48.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 3, 4, 1], [2, 9, 2, 1], [3, 2, 1, 1], [3, 2, 2, 1], [3, 4, 1, 1], [3, 4, 2, 1], [3, 8, 1, 1], [4, 2, 1, 1], [4, 6, 2, 2], [4, 18, 1, 1], [4, 18, 4, 1], [4, 54, 2, 1], [6, 2, 1, 1], [6, 2, 2, 1], [6, 4, 1, 1], [6, 4, 2, 1], [6, 6, 4, 2], [6, 8, 1, 1], [6, 12, 4, 1], [6, 18, 2, 1], [12, 2, 2, 1], [12, 4, 2, 1], [12, 4, 4, 1], [12, 6, 4, 1], [12, 8, 1, 1], [12, 8, 2, 1], [12, 12, 2, 1], [12, 12, 4, 2], [12, 18, 2, 1], [12, 24, 2, 1], [12, 36, 4, 1]], 'aut_supersolvable': False, 'aut_tex': 'C_3^3.C_2^5.C_2^4', 'autcent_abelian': True, 'autcent_cyclic': False, 'autcent_exponent': 2, 'autcent_group': '16.14', 'autcent_hash': 14, 'autcent_nilpotent': True, 'autcent_order': 16, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': True, 'autcent_tex': 'C_2^4', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 12, 'autcentquo_group': '864.4686', 'autcentquo_hash': 4686, 'autcentquo_nilpotent': False, 'autcentquo_order': 864, 'autcentquo_solvable': True, 'autcentquo_supersolvable': False, 'autcentquo_tex': 'S_3^3:C_2^2', 'cc_stats': [[1, 1, 1], [2, 1, 1], [2, 3, 4], [2, 9, 2], [3, 2, 3], [3, 4, 3], [3, 8, 1], [4, 2, 1], [4, 6, 4], [4, 18, 5], [4, 54, 2], [6, 2, 3], [6, 4, 3], [6, 6, 8], [6, 8, 1], [6, 12, 4], [6, 18, 2], [12, 2, 2], [12, 4, 6], [12, 6, 4], [12, 8, 3], [12, 12, 10], [12, 18, 2], [12, 24, 2], [12, 36, 4]], 'center_label': '2.1', 'center_order': 2, 'central_product': True, 'central_quotient': '432.759', 'commutator_count': 1, 'commutator_label': '54.15', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '2.1', '2.1', '2.1', '3.1', '3.1', '3.1'], 'composition_length': 8, 'conjugacy_classes_known': True, 'counter': 4337, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [['24.4', 1], ['6.1', 2]], 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 3, 1, 4], [2, 9, 1, 2], [3, 2, 1, 3], [3, 4, 1, 3], [3, 8, 1, 1], [4, 2, 1, 1], [4, 6, 1, 4], [4, 18, 1, 5], [4, 54, 1, 2], [6, 2, 1, 3], [6, 4, 1, 3], [6, 6, 1, 8], [6, 8, 1, 1], [6, 12, 1, 4], [6, 18, 1, 2], [12, 2, 2, 1], [12, 4, 1, 2], [12, 4, 2, 2], [12, 6, 2, 2], [12, 8, 1, 1], [12, 8, 2, 1], [12, 12, 1, 6], [12, 12, 2, 2], [12, 18, 2, 1], [12, 24, 1, 2], [12, 36, 1, 4]], 'element_repr_type': 'PC', 'elementary': 1, 'eulerian_function': 11072880, 'exponent': 12, 'exponents_of_order': [5, 3], 'factors_of_aut_order': [2, 3], 'factors_of_order': [2, 3], 'faithful_reps': [[8, -1, 2]], 'familial': False, 'frattini_label': '2.1', 'frattini_quotient': '432.759', 'hash': 4337, 'hyperelementary': 1, 'id': 303818, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 6, 'inner_gen_orders': [2, 6, 6, 6], 'inner_gens': [[1, 10, 12, 72], [5, 2, 60, 72], [1, 458, 12, 792], [1, 2, 156, 72]], 'inner_hash': 759, 'inner_nilpotent': False, 'inner_order': 432, 'inner_split': True, 'inner_tex': 'C_2\\times S_3^3', 'inner_used': [1, 2, 3, 4], 'irrC_degree': 8, 'irrQ_degree': 16, 'irrQ_dim': 32, 'irrR_degree': 16, 'irrep_stats': [[1, 16], [2, 36], [4, 24], [8, 5]], 'label': '864.4337', 'linC_count': None, 'linC_degree': None, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': None, 'linQ_degree_count': None, 'linQ_dim': None, 'linQ_dim_count': None, 'linR_count': None, 'linR_degree': None, 'maximal_subgroups_known': True, 'metabelian': True, 'metacyclic': False, 'monomial': True, 'name': 'C4.S3^3', 'ngens': 8, '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, 0, 0, 0, 0], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 36, 'number_characteristic_subgroups': 30, 'number_conjugacy_classes': 81, 'number_divisions': 72, 'number_normal_subgroups': 168, 'number_subgroup_autclasses': 322, 'number_subgroup_classes': 750, 'number_subgroups': 4256, 'old_label': None, 'order': 864, 'order_factorization_type': 33, 'order_stats': [[1, 1], [2, 31], [3, 26], [4, 224], [6, 158], [12, 424]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': True, 'outer_exponent': 4, 'outer_gen_orders': [2, 2, 2, 4], 'outer_gen_pows': [216, 0, 7, 0], 'outer_gens': [[1, 2, 228, 72], [433, 434, 228, 504], [438, 25, 692, 792], [438, 49, 688, 792]], 'outer_group': '32.46', 'outer_hash': 46, 'outer_nilpotent': True, 'outer_order': 32, 'outer_permdeg': 8, 'outer_perms': [23, 7, 11536, 16583], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'C_2^2\\times D_4', 'pc_rank': 4, 'perfect': False, 'permutation_degree': 17, 'pgroup': 0, 'primary_abelian_invariants': [2, 2, 2, 2], 'quasisimple': False, 'rank': 4, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 16], [2, 28], [4, 20], [8, 7], [16, 1]], 'representations': {'PC': {'code': 1765826553813813032014158758042350095167519273, 'gens': [1, 2, 4, 6], 'pres': [8, -2, -2, -3, -2, -3, -2, -2, -3, 161, 41, 194, 971, 91, 9612, 756, 3197, 141, 3390, 166, 3103]}, 'GLZN': {'d': 2, 'p': 66, 'gens': [288949, 433456, 12470437, 3911542, 6612409, 289675, 11947367, 12362371]}, 'Perm': {'d': 17, 'gens': [21109600512000, 21197257804800, 4531705, 8448744, 12541704, 3, 45943438464000, 66698098790400]}}, 'schur_multiplier': [2, 2, 2, 2, 2], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 2, 2, 2], 'solvability_type': 7, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'C_4.S_3^3', 'transitive_degree': 96, 'wreath_data': None, 'wreath_product': False}