Query:
/api/gps_groups/?_offset=0
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '27.5', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 3, 'aut_exponent': 18, 'aut_gen_orders': [6, 18, 6, 3, 3, 3, 3, 3, 3], 'aut_gens': [[197326, 376648, 374230, 380863], [197326, 376648, 197335, 210601], [197326, 326305, 374473, 210601], [374239, 155791, 374473, 387514], [197326, 376648, 374230, 381106], [197326, 22579, 374230, 381106], [197083, 22093, 374230, 203491], [196840, 376630, 373987, 380881], [197326, 199726, 374230, 380863], [197326, 376405, 374230, 380863]], 'aut_group': '52488.sz', 'aut_hash': 4618096886160246644, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 52488, 'aut_permdeg': 81, 'aut_perms': [150353827771156373115852331189187870772883833859807387090443621163030426439913635904467523607518877919299854220595335752, 4507499103599987421245755779798537087814231916364404680325805476597722665691612201534413411328397415149780370317995142390, 3538466746566943960892183866021648390794197837642855278603865564038247182906272758708402612792010384683553208830300260712, 440256846065423196794263881230487126470916466596307478290302724006956921361196843279574594897325275781579101501792290064, 2295932580641901247687807844915593018451835650048723270129896640277685724336481988913772948964002386691863504463975835584, 886592316400018435292758716935730463275136732247399106325953335734445345583850629154810978393883792891043911450981201056, 2393217530674398858005776883386736343662866794771485290651825118736316237405412390234294163252646974632393962865176741395, 2620840372808839927174992063683942612136511971586197835514947918587536870072900272073425424861783340237945661477280165957, 440334558615047137745171028823335901480727792133985620822549106920829435977872280110938398347288008285771094325859260361], 'aut_phi_ratio': 324.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [3, 1, 2, 1], [3, 1, 6, 1], [3, 3, 2, 1], [3, 3, 4, 1], [3, 9, 18, 1], [9, 3, 18, 1]], 'aut_supersolvable': True, 'aut_tex': 'C_3^5.S_3^3', 'autcent_abelian': False, 'autcent_cyclic': False, 'autcent_exponent': 6, 'autcent_group': '486.183', 'autcent_hash': 183, 'autcent_nilpotent': False, 'autcent_order': 486, 'autcent_solvable': True, 'autcent_split': False, 'autcent_supersolvable': True, 'autcent_tex': 'C_3^4:S_3', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 6, 'autcentquo_group': '108.17', 'autcentquo_hash': 17, 'autcentquo_nilpotent': False, 'autcentquo_order': 108, 'autcentquo_solvable': True, 'autcentquo_supersolvable': True, 'autcentquo_tex': 'C_3^2:D_6', 'cc_stats': [[1, 1, 1], [3, 1, 8], [3, 3, 6], [3, 9, 18], [9, 3, 18]], 'center_label': '9.2', 'center_order': 9, 'central_product': True, 'central_quotient': '27.3', 'commutator_count': 1, 'commutator_label': '9.2', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['3.1', '3.1', '3.1', '3.1', '3.1'], 'composition_length': 5, 'conjugacy_classes_known': True, 'counter': 53, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [['3.1', 1], ['81.9', 1]], 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [3, 1, 2, 4], [3, 3, 2, 3], [3, 9, 2, 9], [9, 3, 6, 3]], 'element_repr_type': 'GLZq', 'elementary': 3, 'eulerian_function': 156, 'exponent': 9, 'exponents_of_order': [5], 'factors_of_aut_order': [2, 3], 'factors_of_order': [3], 'faithful_reps': [], 'familial': False, 'frattini_label': '9.2', 'frattini_quotient': '27.5', 'hash': 53, 'hyperelementary': 3, 'id': 533039, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 3, 'inner_gen_orders': [1, 3, 3, 3], 'inner_gens': [[197326, 376648, 374230, 380863], [197326, 376648, 374473, 26830], [197326, 376405, 374230, 380863], [197326, 199483, 374230, 380863]], 'inner_hash': 3, 'inner_nilpotent': True, 'inner_order': 27, 'inner_split': False, 'inner_tex': '\\He_3', 'inner_used': [2, 3, 4], 'irrC_degree': -1, 'irrQ_degree': -1, 'irrQ_dim': -1, 'irrR_degree': -1, 'irrep_stats': [[1, 27], [3, 24]], 'label': '243.53', 'linC_count': 324, 'linC_degree': 4, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': 20, 'linQ_degree_count': 27, 'linQ_dim': 20, 'linQ_dim_count': 27, 'linR_count': 81, 'linR_degree': 8, 'maximal_subgroups_known': True, 'metabelian': True, 'metacyclic': False, 'monomial': True, 'name': 'He3:C3^2', 'ngens': 3, 'nilpotency_class': 3, 'nilpotent': True, 'normal_counts': [0, 0, 0, 0, 0, 0], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 7, 'number_characteristic_subgroups': 7, 'number_conjugacy_classes': 51, 'number_divisions': 20, 'number_normal_subgroups': 36, 'number_subgroup_autclasses': 24, 'number_subgroup_classes': 84, 'number_subgroups': 288, 'old_label': None, 'order': 243, 'order_factorization_type': 3, 'order_stats': [[1, 1], [3, 188], [9, 54]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': False, 'outer_exponent': 6, 'outer_gen_orders': [3, 2, 3, 6, 6, 2, 6, 6], 'outer_gen_pows': [19684, 19684, 19684, 19684, 374473, 19684, 19684, 197092], 'outer_gens': [[197326, 199249, 374230, 381106], [374239, 376648, 197335, 210358], [197326, 376648, 374230, 380620], [374239, 155791, 374473, 32986], [374239, 148915, 374473, 210358], [374239, 155791, 374473, 210358], [374239, 332947, 197092, 380863], [374482, 142768, 374473, 210358]], 'outer_group': '1944.2710', 'outer_hash': 2710, 'outer_nilpotent': False, 'outer_order': 1944, 'outer_permdeg': 20, 'outer_perms': [653125821608937984, 13874425523481601, 4437648, 19630994906597905, 135165413461478401, 1, 640344693276415446, 366713925197583625], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'C_2\\times C_3^3:S_3^2', 'pc_rank': 4, 'perfect': False, 'permutation_degree': 30, 'pgroup': 3, 'primary_abelian_invariants': [3, 3, 3], 'quasisimple': False, 'rank': 3, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 1], [2, 13], [6, 3], [18, 3]], 'representations': {'PC': {'code': 19353174792, 'gens': [1, 2, 3, 4], 'pres': [5, 3, 3, 3, 3, 3, 457, 1388, 78]}, 'GLZN': {'d': 2, 'p': 54, 'gens': [157483, 158437, 211285, 4970947, 2991835]}, 'GLZq': {'d': 2, 'q': 27, 'gens': [196840, 22345, 387505, 19693, 19927]}, 'Perm': {'d': 30, 'gens': [9823379212595838572034159589347, 18982253052262400815558566534504, 28140211547958303057602869753107, 1840764313927677088715674302720, 28140211547958303057602869753104]}}, 'schur_multiplier': [3, 3, 3, 3], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [3, 3, 3], 'solvability_type': 4, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': '\\He_3:C_3^2', 'transitive_degree': 81, 'wreath_data': None, 'wreath_product': False}