Query:
/api/gps_groups/?_offset=0
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '24.15', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 3, 'aut_exponent': 24, 'aut_gen_orders': [12, 2, 24, 6, 12], 'aut_gens': [[1, 6, 36, 432, 1296], [1661, 1938, 684, 1296, 864], [1325, 3342, 2196, 864, 2592], [2453, 354, 3492, 3024, 864], [1541, 2190, 2412, 1728, 2592], [3829, 2226, 2556, 2592, 432]], 'aut_group': None, 'aut_hash': 2078118171550824034, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 15552, 'aut_permdeg': 27, 'aut_perms': [6556525326625627032403293240, 3978126025431739459378884, 4540248975256319929983293420, 1928015265199483262445102541, 5694179662696236497315006090], 'aut_phi_ratio': 12.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 6, 2, 1], [2, 9, 1, 2], [2, 54, 2, 1], [2, 81, 1, 1], [3, 2, 1, 1], [3, 3, 2, 1], [3, 4, 2, 1], [3, 6, 1, 1], [3, 6, 2, 1], [3, 8, 2, 1], [3, 12, 4, 1], [3, 24, 2, 1], [3, 24, 4, 1], [4, 18, 1, 1], [4, 162, 1, 1], [6, 9, 2, 1], [6, 12, 2, 2], [6, 18, 1, 1], [6, 18, 4, 1], [6, 24, 2, 1], [6, 27, 2, 1], [6, 36, 2, 2], [6, 36, 4, 3], [6, 54, 1, 1], [6, 54, 2, 1], [6, 54, 4, 1], [6, 72, 2, 1], [6, 72, 4, 1], [6, 81, 2, 1], [6, 108, 2, 1], [6, 108, 4, 1], [12, 36, 1, 1], [12, 54, 2, 1], [12, 108, 1, 1], [12, 108, 2, 1], [12, 162, 2, 1]], 'aut_supersolvable': False, 'aut_tex': 'C_3^4.C_{12}.C_2^4', 'autcent_abelian': True, 'autcent_cyclic': True, 'autcent_exponent': 1, 'autcent_group': '1.1', 'autcent_hash': 1, 'autcent_nilpotent': True, 'autcent_order': 1, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': True, 'autcent_tex': 'C_1', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 24, 'autcentquo_group': None, 'autcentquo_hash': 2078118171550824034, 'autcentquo_nilpotent': False, 'autcentquo_order': 15552, 'autcentquo_solvable': True, 'autcentquo_supersolvable': False, 'autcentquo_tex': 'C_3^4.C_{12}.C_2^4', 'cc_stats': [[1, 1, 1], [2, 6, 2], [2, 9, 2], [2, 54, 2], [2, 81, 1], [3, 2, 1], [3, 3, 2], [3, 4, 2], [3, 6, 3], [3, 8, 2], [3, 12, 4], [3, 24, 6], [4, 18, 1], [4, 162, 1], [6, 9, 2], [6, 12, 4], [6, 18, 5], [6, 24, 2], [6, 27, 2], [6, 36, 16], [6, 54, 7], [6, 72, 6], [6, 81, 2], [6, 108, 6], [12, 36, 1], [12, 54, 2], [12, 108, 3], [12, 162, 2]], 'center_label': '1.1', 'center_order': 1, 'central_product': True, 'central_quotient': '3888.io', 'commutator_count': 1, 'commutator_label': '162.52', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '2.1', '2.1', '3.1', '3.1', '3.1', '3.1', '3.1'], 'composition_length': 9, 'conjugacy_classes_known': True, 'counter': 223, 'cyclic': False, 'derived_length': 3, 'dihedral': False, 'direct_factorization': [['54.5', 1], ['72.40', 1]], 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 6, 1, 2], [2, 9, 1, 2], [2, 54, 1, 2], [2, 81, 1, 1], [3, 2, 1, 1], [3, 3, 2, 1], [3, 4, 1, 2], [3, 6, 1, 1], [3, 6, 2, 1], [3, 8, 1, 2], [3, 12, 2, 2], [3, 24, 1, 2], [3, 24, 2, 2], [4, 18, 1, 1], [4, 162, 1, 1], [6, 9, 2, 1], [6, 12, 1, 4], [6, 18, 1, 1], [6, 18, 2, 2], [6, 24, 1, 2], [6, 27, 2, 1], [6, 36, 1, 4], [6, 36, 2, 6], [6, 54, 1, 1], [6, 54, 2, 3], [6, 72, 1, 2], [6, 72, 2, 2], [6, 81, 2, 1], [6, 108, 1, 2], [6, 108, 2, 2], [12, 36, 1, 1], [12, 54, 2, 1], [12, 108, 1, 1], [12, 108, 2, 1], [12, 162, 2, 1]], 'element_repr_type': 'PC', 'elementary': 1, 'eulerian_function': 1048320, 'exponent': 12, 'exponents_of_order': [5, 4], 'factors_of_aut_order': [2, 3], 'factors_of_order': [2, 3], 'faithful_reps': [[24, 1, 4]], 'familial': False, 'frattini_label': '3.1', 'frattini_quotient': '1296.3525', 'hash': 8832992903767141139, 'hyperelementary': 1, 'id': 444766, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 12, 'inner_gen_orders': [12, 6, 12, 3, 3], 'inner_gens': [[1, 1398, 1908, 3456, 2160], [373, 6, 3276, 3456, 1296], [3745, 3246, 36, 1728, 3024], [2161, 2166, 2628, 432, 1296], [433, 6, 3492, 432, 1296]], 'inner_hash': 8832992903767141139, 'inner_nilpotent': False, 'inner_order': 3888, 'inner_split': False, 'inner_tex': 'C_3^4:(C_6\\times D_4)', 'inner_used': [1, 2, 3], 'irrC_degree': 24, 'irrQ_degree': 24, 'irrQ_dim': 24, 'irrR_degree': 24, 'irrep_stats': [[1, 24], [2, 18], [4, 27], [6, 4], [8, 12], [12, 1], [24, 4]], 'label': '3888.io', 'linC_count': 96, 'linC_degree': 10, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': 10, 'linQ_degree_count': 32, 'linQ_dim': 10, 'linQ_dim_count': 32, 'linR_count': 32, 'linR_degree': 10, 'maximal_subgroups_known': True, 'metabelian': False, 'metacyclic': False, 'monomial': True, 'name': 'C3^4:(C6*D4)', 'ngens': 9, '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, 0, 0, 0, 0, 0, 0], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 42, 'number_characteristic_subgroups': 41, 'number_conjugacy_classes': 90, 'number_divisions': 63, 'number_normal_subgroups': 63, 'number_subgroup_autclasses': 526, 'number_subgroup_classes': 882, 'number_subgroups': 20986, 'old_label': None, 'order': 3888, 'order_factorization_type': 33, 'order_stats': [[1, 1], [2, 219], [3, 242], [4, 180], [6, 2454], [12, 792]], 'outer_abelian': True, 'outer_cyclic': False, 'outer_equivalence': False, 'outer_exponent': 2, 'outer_gen_orders': [2, 2], 'outer_gen_pows': [2702, 0], 'outer_gens': [[1, 1554, 3492, 1296, 1728], [5, 1326, 36, 432, 1296]], 'outer_group': '4.2', 'outer_hash': 2, 'outer_nilpotent': True, 'outer_order': 4, 'outer_permdeg': 4, 'outer_perms': [1, 6], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'C_2^2', 'pc_rank': 5, 'perfect': False, 'permutation_degree': 15, 'pgroup': 0, 'primary_abelian_invariants': [2, 2, 2, 3], 'quasisimple': False, 'rank': 3, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 8], [2, 14], [4, 15], [6, 4], [8, 13], [12, 1], [16, 4], [24, 4]], 'representations': {'PC': {'code': '19400258742772727392712081531378555936073357636118601890724005831667050172387885586885579399095227295786102439', 'gens': [1, 3, 5, 8, 9], 'pres': [9, -2, -3, -2, -3, -2, -2, -3, -3, 3, 18, 17506, 37748, 27308, 74, 130467, 26148, 85864, 49423, 24592, 13126, 130, 89429, 95270, 4559, 12020, 158, 18150, 248839, 31120, 41497, 3499, 916, 174968, 104993, 6848, 2969]}, 'Perm': {'d': 15, 'gens': [88219837898, 94443201451, 100670227693]}}, 'schur_multiplier': [2, 2, 6], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 2, 6], 'solvability_type': 11, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': False, 'sylow_subgroups_known': True, 'tex_name': 'C_3^4:(C_6\\times D_4)', 'transitive_degree': 36, 'wreath_data': None, 'wreath_product': False}