Query:
/api/gps_groups/?_offset=0
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '12.5', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 3, 'aut_exponent': 36, 'aut_gen_orders': [6, 6, 6, 18, 12], 'aut_gens': [[1, 6, 36, 108], [89, 102, 72, 432], [29, 45, 24, 108], [101, 750, 72, 216], [37, 525, 12, 108], [41, 705, 12, 432]], 'aut_group': None, 'aut_hash': 2961865836738045483, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 7776, 'aut_permdeg': 56, 'aut_perms': [647871950909570393396236456348945031145261606056257793463693448853631837490, 510665351436407783730096623074308039398844391844139498877036125773754434594, 587553401687768105042058963294259643380215736985508779212451551013725469816, 148060902366540298515355536802049311104770672020042822677659317489737784737, 488893379537503663317892810854691872345493842619540977141168231896032445238], 'aut_phi_ratio': 24.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 9, 1, 1], [2, 27, 2, 1], [3, 1, 2, 1], [3, 2, 1, 1], [3, 2, 2, 2], [3, 2, 4, 1], [3, 4, 1, 1], [3, 4, 2, 3], [3, 4, 4, 2], [6, 9, 2, 1], [6, 18, 1, 1], [6, 18, 2, 1], [6, 27, 4, 1], [6, 54, 2, 1], [6, 54, 4, 1], [9, 2, 3, 1], [9, 2, 6, 1], [9, 4, 6, 2], [9, 4, 12, 2], [18, 18, 3, 1], [18, 18, 6, 1]], 'aut_supersolvable': False, 'aut_tex': 'S_3\\wr C_2\\times C_2\\times D_9:C_3', 'autcent_abelian': True, 'autcent_cyclic': True, 'autcent_exponent': 2, 'autcent_group': '2.1', 'autcent_hash': 1, 'autcent_nilpotent': True, 'autcent_order': 2, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': True, 'autcent_tex': 'C_2', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 36, 'autcentquo_group': '3888.is', 'autcentquo_hash': 7161710737932657018, 'autcentquo_nilpotent': False, 'autcentquo_order': 3888, 'autcentquo_solvable': True, 'autcentquo_supersolvable': False, 'autcentquo_tex': '(D_9\\times S_3^2):C_6', 'cc_stats': [[1, 1, 1], [2, 9, 1], [2, 27, 2], [3, 1, 2], [3, 2, 9], [3, 4, 15], [6, 9, 2], [6, 18, 3], [6, 27, 4], [6, 54, 6], [9, 2, 9], [9, 4, 36], [18, 18, 9]], 'center_label': '3.1', 'center_order': 3, 'central_product': True, 'central_quotient': '324.123', 'commutator_count': 1, 'commutator_label': '81.11', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '3.1', '3.1', '3.1', '3.1', '3.1'], 'composition_length': 7, 'conjugacy_classes_known': True, 'counter': 796, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [['3.1', 1], ['324.123', 1]], 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 9, 1, 1], [2, 27, 1, 2], [3, 1, 2, 1], [3, 2, 1, 3], [3, 2, 2, 3], [3, 4, 1, 3], [3, 4, 2, 6], [6, 9, 2, 1], [6, 18, 1, 1], [6, 18, 2, 1], [6, 27, 2, 2], [6, 54, 1, 2], [6, 54, 2, 2], [9, 2, 3, 1], [9, 2, 6, 1], [9, 4, 3, 2], [9, 4, 6, 5], [18, 18, 3, 1], [18, 18, 6, 1]], 'element_repr_type': 'PC', 'elementary': 1, 'eulerian_function': 12, 'exponent': 18, 'exponents_of_order': [5, 2], 'factors_of_aut_order': [2, 3], 'factors_of_order': [2, 3], 'faithful_reps': [[4, 0, 12]], 'familial': False, 'frattini_label': '3.1', 'frattini_quotient': '324.167', 'hash': 796, 'hyperelementary': 1, 'id': 318085, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 18, 'inner_gen_orders': [2, 6, 3, 9], 'inner_gens': [[1, 30, 72, 108], [13, 6, 72, 864], [73, 78, 36, 108], [1, 222, 36, 108]], 'inner_hash': 123, 'inner_nilpotent': False, 'inner_order': 324, 'inner_split': True, 'inner_tex': 'C_9:S_3^2', 'inner_used': [1, 2, 3, 4], 'irrC_degree': 4, 'irrQ_degree': 24, 'irrQ_dim': 24, 'irrR_degree': 8, 'irrep_stats': [[1, 12], [2, 36], [4, 51]], 'label': '972.796', 'linC_count': 12, 'linC_degree': 4, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': 12, 'linQ_degree_count': 56, 'linQ_dim': 12, 'linQ_dim_count': 56, 'linR_count': 264, 'linR_degree': 8, 'maximal_subgroups_known': True, 'metabelian': True, 'metacyclic': False, 'monomial': True, 'name': 'C3^3:D18', '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], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 28, 'number_characteristic_subgroups': 20, 'number_conjugacy_classes': 99, 'number_divisions': 40, 'number_normal_subgroups': 40, 'number_subgroup_autclasses': 174, 'number_subgroup_classes': 294, 'number_subgroups': 1944, 'old_label': None, 'order': 972, 'order_factorization_type': 32, 'order_stats': [[1, 1], [2, 63], [3, 80], [6, 504], [9, 162], [18, 162]], 'outer_abelian': True, 'outer_cyclic': False, 'outer_equivalence': False, 'outer_exponent': 6, 'outer_gen_orders': [2, 2, 6], 'outer_gen_pows': [0, 0, 1], 'outer_gens': [[1, 30, 36, 108], [5, 6, 36, 864], [1, 57, 12, 756]], 'outer_group': '24.15', 'outer_hash': 15, 'outer_nilpotent': True, 'outer_order': 24, 'outer_permdeg': 9, 'outer_perms': [24, 40344, 723], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'C_2^2\\times C_6', 'pc_rank': 4, 'perfect': False, 'permutation_degree': 18, 'pgroup': 0, 'primary_abelian_invariants': [2, 2, 3], 'quasisimple': False, 'rank': 2, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 4], [2, 10], [4, 9], [6, 2], [8, 6], [12, 4], [24, 5]], 'representations': {'PC': {'code': 13758858077003132134883884500374191, 'gens': [1, 3, 5, 6], 'pres': [7, -2, -3, -2, -3, -3, -3, -3, 14, 632, 58, 675, 2524, 438, 6067, 166, 5312]}, 'GLZN': {'d': 2, 'p': 90, 'gens': [13055633, 45127618, 44767123, 44469061, 44962231, 19318996, 731701]}, 'Perm': {'d': 18, 'gens': [7, 47096395315343, 45360, 325, 422380337702400, 435, 800584593177600]}}, 'schur_multiplier': [2], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 6], 'solvability_type': 7, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'C_3^3:D_{18}', 'transitive_degree': 36, 'wreath_data': None, 'wreath_product': False}