Query:
/api/gps_groups/?_offset=0
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '8.5', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 3, 'aut_exponent': 24, 'aut_gen_orders': [3, 2, 4, 4, 4, 3, 6, 2, 24, 2], 'aut_gens': [[40723336, 143, 40360320, 1174320, 88265520, 91854000, 325, 435], [175351816, 143, 174585600, 8351280, 88265520, 91854000, 325, 435], [40723336, 143, 55520640, 211241520, 88265520, 210551040, 325, 435], [167368456, 143, 167292720, 203661360, 91854000, 214104240, 325, 435], [11289736, 143, 134628480, 12055680, 11249280, 84596400, 325, 435], [7621139, 143, 55520640, 211241520, 11249280, 84596400, 458, 348], [175351816, 143, 135434880, 83502720, 88265520, 91854000, 325, 435], [40723336, 693, 40360320, 1174320, 214104240, 210551040, 325, 435], [40723336, 143, 120561840, 211241520, 214104240, 210551040, 325, 435], [1134572, 143, 40360320, 1174320, 203258160, 7660800, 325, 435], [40285379, 143, 40647600, 1174320, 91854000, 88265520, 325, 348]], 'aut_group': '5184.qn', 'aut_hash': 1838339873052765380, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 5184, 'aut_permdeg': 39, 'aut_perms': [59548669259546715843360120605559317528698037, 6125687357111162959232186380619114581497738270, 5811359423701156777178162464488782699560689869, 1252727186885390360971331056338062867766655831, 12982967568269378926522388757108613753554817554, 14497870122762652704367630152616720377498651943, 14140374697259094179930382370205709589578842357, 372012830327662225060804970021855013466442021, 3025819012853180092480516442723619372500728047, 2028480515617238445799340288192241922831563380], 'aut_phi_ratio': 12.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 3, 1, 1], [2, 9, 1, 1], [2, 18, 2, 1], [2, 27, 1, 1], [2, 54, 2, 1], [3, 2, 1, 2], [3, 4, 1, 1], [3, 4, 2, 1], [3, 8, 2, 2], [3, 16, 2, 1], [4, 18, 1, 1], [4, 54, 1, 1], [6, 6, 1, 1], [6, 12, 2, 1], [6, 18, 1, 2], [6, 24, 2, 1], [6, 36, 1, 1], [6, 36, 2, 2], [6, 54, 1, 1], [6, 72, 2, 1], [6, 108, 2, 1], [12, 18, 2, 1], [12, 36, 1, 1], [12, 36, 2, 1], [12, 54, 2, 1]], 'aut_supersolvable': False, 'aut_tex': 'S_3\\times F_9:D_6', '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': '5184.qn', 'autcentquo_hash': 1838339873052765380, 'autcentquo_nilpotent': False, 'autcentquo_order': 5184, 'autcentquo_solvable': True, 'autcentquo_supersolvable': False, 'autcentquo_tex': 'S_3\\times F_9:D_6', 'cc_stats': [[1, 1, 1], [2, 3, 1], [2, 9, 1], [2, 18, 2], [2, 27, 1], [2, 54, 2], [3, 2, 2], [3, 4, 3], [3, 8, 4], [3, 16, 2], [4, 18, 1], [4, 54, 1], [6, 6, 1], [6, 12, 2], [6, 18, 2], [6, 24, 2], [6, 36, 5], [6, 54, 1], [6, 72, 2], [6, 108, 2], [12, 18, 2], [12, 36, 3], [12, 54, 2]], 'center_label': '1.1', 'center_order': 1, 'central_product': True, 'central_quotient': '1296.3529', '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'], 'composition_length': 8, 'conjugacy_classes_known': True, 'counter': 3529, 'cyclic': False, 'derived_length': 3, 'dihedral': False, 'direct_factorization': [['216.159', 1], ['6.1', 1]], 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 3, 1, 1], [2, 9, 1, 1], [2, 18, 1, 2], [2, 27, 1, 1], [2, 54, 1, 2], [3, 2, 1, 2], [3, 4, 1, 3], [3, 8, 1, 4], [3, 16, 1, 2], [4, 18, 1, 1], [4, 54, 1, 1], [6, 6, 1, 1], [6, 12, 1, 2], [6, 18, 1, 2], [6, 24, 1, 2], [6, 36, 1, 5], [6, 54, 1, 1], [6, 72, 1, 2], [6, 108, 1, 2], [12, 18, 2, 1], [12, 36, 1, 1], [12, 36, 2, 1], [12, 54, 2, 1]], 'element_repr_type': 'Perm', 'elementary': 1, 'eulerian_function': 107520, 'exponent': 12, 'exponents_of_order': [4, 4], 'factors_of_aut_order': [2, 3], 'factors_of_order': [2, 3], 'faithful_reps': [[16, 1, 2]], 'familial': False, 'frattini_label': '1.1', 'frattini_quotient': '1296.3529', 'hash': 3529, 'hyperelementary': 1, 'id': 318833, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 12, 'inner_gen_orders': [2, 2, 4, 2, 3, 3, 3, 3], 'inner_gens': [[40723336, 143, 40647600, 1174320, 214104240, 91854000, 325, 348], [40723336, 143, 40360320, 1174320, 88265520, 91854000, 458, 435], [40284856, 143, 40360320, 1174320, 210551040, 88265520, 325, 435], [40723336, 143, 40360320, 1174320, 214104240, 210551040, 325, 435], [175351816, 143, 55198080, 214910640, 88265520, 91854000, 325, 435], [40723336, 143, 120561840, 211241520, 88265520, 91854000, 325, 435], [40723336, 693, 40360320, 1174320, 88265520, 91854000, 325, 435], [40723859, 143, 40360320, 1174320, 88265520, 91854000, 325, 435]], 'inner_hash': 3529, 'inner_nilpotent': False, 'inner_order': 1296, 'inner_split': False, 'inner_tex': 'S_3\\times C_3^2:D_{12}', 'inner_used': [1, 2, 3, 5, 7, 8], 'irrC_degree': 16, 'irrQ_degree': 16, 'irrQ_dim': 16, 'irrR_degree': 16, 'irrep_stats': [[1, 8], [2, 14], [4, 13], [8, 8], [16, 2]], 'label': '1296.3529', 'linC_count': 288, 'linC_degree': 8, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': 8, 'linQ_degree_count': 144, 'linQ_dim': 8, 'linQ_dim_count': 144, 'linR_count': 288, 'linR_degree': 8, 'maximal_subgroups_known': True, 'metabelian': False, 'metacyclic': False, 'monomial': True, 'name': 'S3*C3^2:D12', '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, 0], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 30, 'number_characteristic_subgroups': 32, 'number_conjugacy_classes': 45, 'number_divisions': 42, 'number_normal_subgroups': 42, 'number_subgroup_autclasses': 284, 'number_subgroup_classes': 472, 'number_subgroups': 7584, 'old_label': None, 'order': 1296, 'order_factorization_type': 33, 'order_stats': [[1, 1], [2, 183], [3, 80], [4, 72], [6, 708], [12, 252]], 'outer_abelian': True, 'outer_cyclic': False, 'outer_equivalence': False, 'outer_exponent': 2, 'outer_gen_orders': [2, 2], 'outer_gen_pows': [90760320, 0], 'outer_gens': [[11289736, 143, 134628480, 12055680, 11249280, 84596400, 325, 435], [40723336, 143, 40360320, 1174320, 88265520, 91854000, 325, 348]], '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': 12, 'pgroup': 0, 'primary_abelian_invariants': [2, 2, 2], 'quasisimple': False, 'rank': 3, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 8], [2, 10], [4, 13], [8, 9], [16, 2]], 'representations': {'PC': {'code': 197949775518887210770093834647963050220693659687463, 'gens': [1, 2, 4, 7, 8], 'pres': [8, -2, -2, -3, -2, -2, -3, -3, 3, 161, 41, 194, 2123, 91, 2412, 116, 2317, 2718, 710, 32271, 5407, 2343]}, 'Perm': {'d': 12, 'gens': [40723336, 143, 40360320, 1174320, 88265520, 91854000, 325, 435]}}, 'schur_multiplier': [2, 2, 2], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 2, 2], 'solvability_type': 11, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': False, 'sylow_subgroups_known': True, 'tex_name': 'S_3\\times C_3^2:D_{12}', 'transitive_degree': 24, 'wreath_data': None, 'wreath_product': False}