Query:
/api/gps_groups/?_offset=0
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '32.45', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 4, 'aut_exponent': 12, 'aut_gen_orders': [2, 2, 2, 3, 2, 2, 2, 2, 2, 2], 'aut_gens': [[1, 2, 8, 16], [49, 54, 8, 80], [5, 6, 8, 80], [9, 2, 8, 84], [33, 2, 8, 16], [1, 2, 8, 80], [49, 2, 12, 80], [49, 6, 8, 80], [9, 10, 8, 88], [1, 6, 8, 80], [1, 2, 56, 80]], 'aut_group': '9216.mt', 'aut_hash': 286080303390451077, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 9216, 'aut_permdeg': 19, 'aut_perms': [6446835113626276, 368209, 20734746793246345, 3991680, 362880, 13877053326627384, 6445526960256676, 85272823203692, 6446835113604480, 4022655805061], 'aut_phi_ratio': 288.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 1, 6, 1], [2, 3, 8, 1], [3, 2, 1, 1], [4, 1, 8, 1], [4, 3, 8, 1], [6, 2, 1, 1], [6, 2, 6, 1], [12, 2, 8, 1]], 'aut_supersolvable': False, 'aut_tex': 'S_3\\times C_2^6:S_4', 'autcent_abelian': False, 'autcent_cyclic': False, 'autcent_exponent': 12, 'autcent_group': '1536.408640869', 'autcent_hash': 4599629986281706675, 'autcent_nilpotent': False, 'autcent_order': 1536, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': False, 'autcent_tex': 'C_2^6:S_4', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 6, 'autcentquo_group': '6.1', 'autcentquo_hash': 1, 'autcentquo_nilpotent': False, 'autcentquo_order': 6, 'autcentquo_solvable': True, 'autcentquo_supersolvable': True, 'autcentquo_tex': 'S_3', 'cc_stats': [[1, 1, 1], [2, 1, 7], [2, 3, 8], [3, 2, 1], [4, 1, 8], [4, 3, 8], [6, 2, 7], [12, 2, 8]], 'center_label': '16.10', 'center_order': 16, 'central_product': True, 'central_quotient': '6.1', 'commutator_count': 1, 'commutator_label': '3.1', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '2.1', '2.1', '2.1', '3.1'], 'composition_length': 6, 'conjugacy_classes_known': True, 'counter': 206, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [['2.1', 2], ['4.1', 1], ['6.1', 1]], 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 7], [2, 3, 1, 8], [3, 2, 1, 1], [4, 1, 2, 4], [4, 3, 2, 4], [6, 2, 1, 7], [12, 2, 2, 4]], 'element_repr_type': 'PC', 'elementary': 1, 'eulerian_function': 2730, 'exponent': 12, 'exponents_of_order': [5, 1], 'factors_of_aut_order': [2, 3], 'factors_of_order': [2, 3], 'faithful_reps': [], 'familial': False, 'frattini_label': '2.1', 'frattini_quotient': '48.51', 'hash': 206, 'hyperelementary': 2, 'id': 133177, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 6, 'inner_gen_orders': [2, 1, 1, 3], 'inner_gens': [[1, 2, 8, 80], [1, 2, 8, 16], [1, 2, 8, 16], [33, 2, 8, 16]], 'inner_hash': 1, 'inner_nilpotent': False, 'inner_order': 6, 'inner_split': True, 'inner_tex': 'S_3', 'inner_used': [1, 4], 'irrC_degree': -1, 'irrQ_degree': -1, 'irrQ_dim': -1, 'irrR_degree': -1, 'irrep_stats': [[1, 32], [2, 16]], 'label': '96.206', 'linC_count': None, 'linC_degree': None, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': 5, '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': 'C12:C2^3', 'ngens': 6, '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': 11, 'number_conjugacy_classes': 48, 'number_divisions': 36, 'number_normal_subgroups': 145, 'number_subgroup_autclasses': 42, 'number_subgroup_classes': 236, 'number_subgroups': 418, 'old_label': None, 'order': 96, 'order_factorization_type': 51, 'order_stats': [[1, 1], [2, 31], [3, 2], [4, 32], [6, 14], [12, 16]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': True, 'outer_exponent': 12, 'outer_gen_orders': [2, 3, 2, 2, 2, 2, 2, 2, 2, 2], 'outer_gen_pows': [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'outer_gens': [[1, 6, 56, 16], [9, 10, 48, 24], [57, 58, 8, 16], [49, 50, 8, 16], [57, 2, 8, 16], [49, 2, 8, 16], [57, 6, 12, 20], [53, 2, 12, 16], [5, 2, 8, 16], [5, 6, 8, 16]], 'outer_group': '1536.408640869', 'outer_hash': 4599629986281706675, 'outer_nilpotent': False, 'outer_order': 1536, 'outer_permdeg': 16, 'outer_perms': [243707089, 6077707400, 4240062968, 403292110, 1564031768, 123746098, 18288720172411, 8164401046681, 1327912204690, 6723188248942], 'outer_solvable': True, 'outer_supersolvable': False, 'outer_tex': 'C_2^6:S_4', 'pc_rank': 4, 'perfect': False, 'permutation_degree': 11, 'pgroup': 0, 'primary_abelian_invariants': [2, 2, 2, 4], 'quasisimple': False, 'rank': 4, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 16], [2, 16], [4, 4]], 'representations': {'PC': {'code': 60617826288769, 'gens': [1, 2, 4, 5], 'pres': [6, -2, -2, -2, -2, -2, -3, 31, 2404, 88, 2309]}, 'GLZ': {'b': 3, 'd': 5, 'gens': [706461792407, 706461793378, 705946296092, 141602720900]}, 'GLFp': {'d': 4, 'p': 5, 'gens': [122109387504, 147006733710, 12821847582, 75365757720, 61054693752, 56603912815]}, 'Perm': {'d': 11, 'gens': [362880, 5167, 1, 5335, 126, 3991680]}}, 'schur_multiplier': [2, 2, 2, 2, 2, 2], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 2, 2, 4], 'solvability_type': 7, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'C_{12}:C_2^3', 'transitive_degree': 48, 'wreath_data': None, 'wreath_product': False}