Query:
/api/gps_groups/?_offset=0
{'Agroup': True, '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': [[88698763576, 482630400, 88698763583, 193999276800, 45360, 280259481600, 325, 435], [88216168892, 193077561600, 88216169013, 200222668800, 80640, 286482873600, 458, 348], [88698764012, 482630400, 88698764133, 193999276800, 45360, 280259481600, 325, 435], [361726047212, 268244524800, 361726047178, 286482873600, 80640, 200222668800, 458, 348], [88698799292, 482630400, 88698799413, 193999276800, 80640, 200222668800, 458, 348], [361726082579, 339, 448908002579, 348, 80640, 458, 200222668800, 193999276800]], 'aut_group': '62208.l', 'aut_hash': 1820680360968750972, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 62208, 'aut_permdeg': 108, 'aut_perms': [530970701751058070233493593310113582481513598819078886165150999977211549512885660716411556895532234509667946747233088379449381179059981009587327594629892255441178343216534927, 840215623990807330189552914754938958544028883676270338360461996106486329015922578478219742170214706303761936101097185925864074654782302852239051193293292266875218400273432435, 789230423252213576718740277116964214116929854696555993760148399120345950601205985346360858640478227543378442988095125289109723695382505264993142999983867477647476005538623359, 933294650656076948249908732024207988162927191554923551578722369325960921672413887603462870192788545949738472337101239898074969246498953515891787843316086926119527211511194003, 891254406130966469918401585077419479725284385055038700534860102843418580137769187421340367512748798917363865826521973218668971454160507964206355325460406814998608447110587954], 'aut_phi_ratio': 96.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 9, 2, 1], [2, 27, 4, 1], [2, 81, 1, 1], [3, 2, 1, 1], [3, 2, 4, 1], [3, 4, 2, 1], [3, 4, 4, 3], [3, 8, 2, 1], [3, 8, 4, 3], [3, 8, 8, 1], [6, 18, 2, 1], [6, 18, 4, 1], [6, 36, 2, 1], [6, 36, 4, 2], [6, 54, 8, 1], [6, 108, 4, 1], [6, 162, 1, 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, 27, 4], [2, 81, 1], [3, 2, 5], [3, 4, 14], [3, 8, 22], [6, 18, 6], [6, 36, 10], [6, 54, 8], [6, 108, 4], [6, 162, 1]], 'center_label': '1.1', 'center_order': 1, 'central_product': False, 'central_quotient': '1944.3941', 'commutator_count': 1, 'commutator_label': '243.67', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '2.1', '3.1', '3.1', '3.1', '3.1', '3.1'], 'composition_length': 8, 'conjugacy_classes_known': True, 'counter': 3941, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [], 'direct_product': False, 'div_stats': [[1, 1, 1, 1], [2, 9, 1, 2], [2, 27, 1, 4], [2, 81, 1, 1], [3, 2, 1, 5], [3, 4, 1, 10], [3, 4, 2, 2], [3, 8, 1, 10], [3, 8, 2, 6], [6, 18, 1, 6], [6, 36, 1, 6], [6, 36, 2, 2], [6, 54, 1, 8], [6, 108, 1, 4], [6, 162, 1, 1]], 'element_repr_type': 'Perm', 'elementary': 1, 'eulerian_function': 21504, 'exponent': 6, 'exponents_of_order': [5, 3], 'factors_of_aut_order': [2, 3], 'factors_of_order': [2, 3], 'faithful_reps': [[8, 0, 4]], 'familial': False, 'frattini_label': '1.1', 'frattini_quotient': '1944.3941', 'hash': 3941, 'hyperelementary': 1, 'id': 319735, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 6, 'inner_gen_orders': [2, 2, 2, 3, 3, 3, 3, 3], 'inner_gens': [[88698763576, 482630400, 88698763583, 286482873600, 80640, 280259481600, 325, 348], [88698763576, 482630400, 88698763583, 286482873600, 45360, 200222668800, 325, 435], [88698763576, 482630400, 88698763583, 286482873600, 80640, 280259481600, 458, 435], [456053073976, 287404588800, 456053073983, 193999276800, 45360, 280259481600, 325, 435], [88698844216, 482630400, 88698844223, 193999276800, 45360, 280259481600, 325, 435], [88698763576, 199308211200, 88698763583, 193999276800, 45360, 280259481600, 325, 435], [88698763576, 482630400, 88698764133, 193999276800, 45360, 280259481600, 325, 435], [88698764099, 482630400, 88698763583, 193999276800, 45360, 280259481600, 325, 435]], 'inner_hash': 3941, 'inner_nilpotent': False, 'inner_order': 1944, 'inner_split': False, 'inner_tex': 'C_3^2:S_3^3', 'inner_used': [1, 2, 3, 4, 5, 6, 7, 8], 'irrC_degree': 8, 'irrQ_degree': 16, 'irrQ_dim': 16, 'irrR_degree': 16, 'irrep_stats': [[1, 8], [2, 20], [4, 28], [8, 22]], 'label': '1944.3941', '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': True, 'metacyclic': False, 'monomial': True, 'name': 'C3^2:S3^3', '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], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 23, 'number_characteristic_subgroups': 9, 'number_conjugacy_classes': 78, 'number_divisions': 68, 'number_normal_subgroups': 79, 'number_subgroup_autclasses': 340, 'number_subgroup_classes': 1524, 'number_subgroups': 21896, 'old_label': None, 'order': 1944, 'order_factorization_type': 33, 'order_stats': [[1, 1], [2, 207], [3, 242], [6, 1494]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': True, 'outer_exponent': 4, 'outer_gen_orders': [2, 2, 2, 4], 'outer_gen_pows': [0, 482630400, 0, 482630407], 'outer_gens': [[88216133176, 482630400, 88216133183, 200222668800, 45360, 286482873600, 458, 348], [88216133176, 482630400, 88216133183, 280259481600, 45360, 286482873600, 458, 348], [88216133183, 482630400, 88216133176, 280259481600, 45360, 193999276800, 435, 325], [88698763583, 7, 88216133183, 458, 45360, 435, 280259481600, 193999276800]], 'outer_group': '32.27', 'outer_hash': 27, 'outer_nilpotent': True, 'outer_order': 32, 'outer_permdeg': 8, 'outer_perms': [16, 23, 11536, 40296], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'C_2^2\\wr C_2', '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, 20], [4, 20], [8, 14], [16, 6]], 'representations': {'PC': {'code': 13201382199767610123351708388204064283141018063415, 'gens': [1, 2, 4, 5, 7, 8], 'pres': [8, -2, -2, -3, -3, -2, -3, -3, -3, 161, 41, 194, 395, 7204, 3612, 116, 6917, 3469, 24198, 710, 2343]}, 'Perm': {'d': 15, 'gens': [88698763576, 482630400, 88698763583, 193999276800, 45360, 280259481600, 325, 435]}}, 'schur_multiplier': [2, 2, 2], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 2, 2], 'solvability_type': 7, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'C_3^2:S_3^3', 'transitive_degree': 24, 'wreath_data': None, 'wreath_product': False}