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': 4, 'aut_exponent': 24, 'aut_gen_orders': [6, 3, 2, 2, 12], 'aut_gens': [[13894720804, 193037690610, 88216168465], [455574148084, 186850622133, 375138091707], [186810669604, 461801133810, 375138126865], [180623600787, 13970961238, 274471631522], [455574147988, 186850621915, 375138091681], [442162103069, 19200062134, 262536427704]], 'aut_group': '62208.l', 'aut_hash': 1820680360968750972, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 62208, 'aut_permdeg': 144, 'aut_perms': [1065897267918481639657685695441795046534929417182558897588606833182212277400656130182455295453955157574111857528380133616637456301275985851052508856929550775006512044357237607411015428948833875264554114793719130362887476750649177612863053684981670742, 4626219919081683014753777561239363490624388233687431181403111096046202877054037299250138267644687156143059194309869725711382226988027492146799925642010848567743479901579312061390617770568550608059586203882419002212602499192371437895993920562242709198, 4052881539009898280972914499591099735551887337566795772089748115639626964904068324362010147871784727368984660608465004431904037670969080448044078909226679270085864218858222906123467762828709459898637209172805753191555394082472346600180000110316477164, 3431395973970559935756136467051511438160222587475022789245890997565177566902392089795353444262578164692753820933877037621448425783986937865701134508790124070550583532704618293280398135757613411927977019912430703692360844688565345942145376627761279432, 3433710861815302544936460772181331213668123397470756307722464191359270478002559085682934338458063349826063325641038972510073117229757107407978964750193865070124672434634559915367460547642912564017111800644652513870795112113200816204170232053233506519], 'aut_phi_ratio': 48.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 9, 2, 1], [2, 18, 2, 1], [2, 54, 2, 1], [2, 81, 1, 1], [3, 2, 1, 1], [3, 4, 2, 2], [3, 4, 4, 1], [3, 8, 2, 3], [3, 8, 4, 1], [3, 16, 2, 2], [3, 16, 4, 1], [4, 486, 2, 1], [6, 18, 2, 1], [6, 18, 4, 1], [6, 36, 2, 2], [6, 36, 4, 2], [6, 36, 8, 1], [6, 72, 2, 2], [6, 72, 4, 1], [6, 108, 4, 1], [6, 162, 1, 1], [6, 216, 2, 1]], 'aut_supersolvable': False, 'aut_tex': 'S_3^5.D_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': '62208.l', 'autcentquo_hash': 1820680360968750972, 'autcentquo_nilpotent': False, 'autcentquo_order': 62208, 'autcentquo_solvable': True, 'autcentquo_supersolvable': False, 'autcentquo_tex': 'S_3^5.D_4', 'cc_stats': [[1, 1, 1], [2, 9, 2], [2, 18, 2], [2, 54, 2], [2, 81, 1], [3, 2, 1], [3, 4, 8], [3, 8, 10], [3, 16, 8], [4, 486, 2], [6, 18, 6], [6, 36, 20], [6, 72, 8], [6, 108, 4], [6, 162, 1], [6, 216, 2]], 'center_label': '1.1', 'center_order': 1, 'central_product': False, 'central_quotient': '3888.db', 'commutator_count': 1, 'commutator_label': '486.259', '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': 80, 'cyclic': False, 'derived_length': 3, 'dihedral': False, 'direct_factorization': [], 'direct_product': False, 'div_stats': [[1, 1, 1, 1], [2, 9, 1, 2], [2, 18, 1, 2], [2, 54, 1, 2], [2, 81, 1, 1], [3, 2, 1, 1], [3, 4, 1, 4], [3, 4, 2, 2], [3, 8, 1, 6], [3, 8, 2, 2], [3, 16, 1, 4], [3, 16, 2, 2], [4, 486, 1, 2], [6, 18, 1, 2], [6, 18, 2, 2], [6, 36, 1, 8], [6, 36, 2, 6], [6, 72, 1, 4], [6, 72, 2, 2], [6, 108, 1, 4], [6, 162, 1, 1], [6, 216, 1, 2]], 'element_repr_type': 'Perm', 'elementary': 1, 'eulerian_function': 268800, 'exponent': 12, 'exponents_of_order': [5, 4], 'factors_of_aut_order': [2, 3], 'factors_of_order': [2, 3], 'faithful_reps': [[8, 0, 8], [16, 0, 4], [16, 1, 2]], 'familial': False, 'frattini_label': '1.1', 'frattini_quotient': '3888.db', 'hash': 1517092282167144975, 'hyperelementary': 1, 'id': 444622, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 12, 'inner_gen_orders': [6, 6, 6], 'inner_gens': [[13894720804, 455614029810, 274471550786], [461841050404, 193037690610, 287883595467], [442681021683, 194558193212, 88216168465]], 'inner_hash': 1517092282167144975, 'inner_nilpotent': False, 'inner_order': 3888, 'inner_split': False, 'inner_tex': 'C_3^5:(C_2\\times D_4)', 'inner_used': [1, 2, 3], 'irrC_degree': 8, 'irrQ_degree': 16, 'irrQ_dim': 16, 'irrR_degree': 16, 'irrep_stats': [[1, 8], [2, 10], [4, 32], [8, 20], [16, 8]], 'label': '3888.db', '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': False, 'metacyclic': False, 'monomial': None, 'name': 'C3^5:(C2*D4)', 'ngens': 3, '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': 30, 'number_characteristic_subgroups': 13, 'number_conjugacy_classes': 78, 'number_divisions': 62, 'number_normal_subgroups': 37, 'number_subgroup_autclasses': 486, 'number_subgroup_classes': 1304, 'number_subgroups': 32408, 'old_label': None, 'order': 3888, 'order_factorization_type': 33, 'order_stats': [[1, 1], [2, 243], [3, 242], [4, 972], [6, 2430]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': True, 'outer_exponent': 4, 'outer_gen_orders': [2, 2, 2, 2], 'outer_gen_pows': [25, 0, 0, 0], 'outer_gens': [[13894720708, 193037690635, 88216168347], [182064199085, 39962636, 362128878721], [13894720707, 193037690610, 88216168348], [20197981587, 455614065090, 88216168561]], 'outer_group': '16.11', 'outer_hash': 11, 'outer_nilpotent': True, 'outer_order': 16, 'outer_permdeg': 6, 'outer_perms': [288, 7, 127, 126], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'C_2\\times D_4', 'pc_rank': 6, 'perfect': False, 'permutation_degree': 15, 'pgroup': 0, 'primary_abelian_invariants': [2, 2, 2], 'quasisimple': False, 'rank': 3, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 8], [2, 6], [4, 18], [8, 20], [16, 8], [32, 2]], 'representations': {'PC': {'code': '84899007268693436135147183704819705299813503368882852819232023059011947617707537371928947742295', 'gens': [1, 2, 4, 6, 8, 9], 'pres': [9, 2, 2, 3, 2, 3, 2, 3, 3, 3, 11664, 11413, 46, 35210, 41259, 37380, 102, 103684, 78853, 37589, 103046, 24323, 9428, 7979, 158, 219246, 9087, 1545, 62215, 7810, 916, 2951, 2969]}, 'Perm': {'d': 15, 'gens': [13894720804, 193037690610, 88216168465]}}, 'schur_multiplier': [2, 2, 2], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 2, 2], 'solvability_type': 12, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': False, 'sylow_subgroups_known': True, 'tex_name': 'C_3^5:(C_2\\times D_4)', 'transitive_degree': 24, 'wreath_data': None, 'wreath_product': False}