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': 12, 'aut_gen_orders': [12, 12, 6], 'aut_gens': [[2979163906969437, 1133847166193275, 4536034458905765], [2644123839391173, 3000092920254145, 6046230224424813], [1866339282931919, 1510645588179120, 6046230224476922], [2267789007231930, 1510363935095189, 5669988841354294]], 'aut_group': '46656.jd', 'aut_hash': 1502020854965269241, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 46656, 'aut_permdeg': 126, 'aut_perms': [2581327856749975446076895697660288230705014838492689536561024440922223787760926678777274953459491588106886978957381472632301878893439378943838906225782260296976669210766688825261378534009427045049896900160458837, 8046446493998798212460292949504770853020397339755587412674298054955868230705632180385012550638036852550194479699972338476440516888088137116280728741352556955525200303251415522593426067954606397586023872834654174, 1530645687360915420669769148282045264688069167262288282661898303273991291802099866657832518305608999014167824485963682455817421418245723520458143537902513601748870242866109484289809897245168400872307375306442578], 'aut_phi_ratio': 12.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 18, 1, 1], [2, 54, 2, 1], [2, 81, 1, 1], [2, 81, 2, 1], [2, 162, 1, 1], [3, 2, 2, 1], [3, 4, 1, 1], [3, 12, 2, 1], [3, 24, 1, 1], [3, 24, 2, 2], [3, 36, 2, 1], [3, 72, 1, 1], [3, 72, 2, 1], [3, 144, 2, 1], [4, 486, 2, 1], [6, 36, 1, 2], [6, 36, 2, 1], [6, 108, 2, 2], [6, 162, 2, 1], [6, 216, 1, 1], [6, 216, 2, 2], [6, 324, 1, 1], [6, 324, 2, 3], [6, 324, 4, 1], [6, 648, 1, 1], [6, 648, 2, 1], [12, 972, 2, 1]], 'aut_supersolvable': False, 'aut_tex': '\\He_3^2:C_2\\wr C_2^2', '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': 12, 'autcentquo_group': '46656.jd', 'autcentquo_hash': 1502020854965269241, 'autcentquo_nilpotent': False, 'autcentquo_order': 46656, 'autcentquo_solvable': True, 'autcentquo_supersolvable': False, 'autcentquo_tex': '\\He_3^2:C_2\\wr C_2^2', 'cc_stats': [[1, 1, 1], [2, 18, 1], [2, 54, 2], [2, 81, 3], [2, 162, 1], [3, 2, 2], [3, 4, 1], [3, 12, 2], [3, 24, 5], [3, 36, 2], [3, 72, 3], [3, 144, 2], [4, 486, 2], [6, 36, 4], [6, 108, 4], [6, 162, 2], [6, 216, 5], [6, 324, 11], [6, 648, 3], [12, 972, 2]], 'center_label': '1.1', 'center_order': 1, 'central_product': False, 'central_quotient': '11664.be', 'commutator_count': 1, 'commutator_label': '1458.1576', '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', '3.1'], 'composition_length': 10, 'conjugacy_classes_known': True, 'counter': 31, 'cyclic': False, 'derived_length': 4, 'dihedral': False, 'direct_factorization': [], 'direct_product': False, 'div_stats': [[1, 1, 1, 1], [2, 18, 1, 1], [2, 54, 1, 2], [2, 81, 1, 3], [2, 162, 1, 1], [3, 2, 1, 2], [3, 4, 1, 1], [3, 12, 1, 2], [3, 24, 1, 3], [3, 24, 2, 1], [3, 36, 1, 2], [3, 72, 1, 3], [3, 144, 1, 2], [4, 486, 1, 2], [6, 36, 1, 4], [6, 108, 1, 4], [6, 162, 1, 2], [6, 216, 1, 3], [6, 216, 2, 1], [6, 324, 1, 11], [6, 648, 1, 3], [12, 972, 1, 2]], 'element_repr_type': 'Perm', 'elementary': 1, 'eulerian_function': 10886400, 'exponent': 12, 'exponents_of_order': [6, 4], 'factors_of_aut_order': [2, 3], 'factors_of_order': [2, 3], 'faithful_reps': [[12, 1, 4], [24, 0, 4], [24, 1, 4]], 'familial': False, 'frattini_label': '9.2', 'frattini_quotient': '1296.3531', 'hash': 7343738506780516409, 'hyperelementary': 1, 'id': 334914, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 12, 'inner_gen_orders': [6, 6, 6], 'inner_gens': [[2979163906969437, 355969124720882, 3423209842160906], [287883912505, 1133847166193275, 6025763444117612], [2267594572320719, 21378879463921, 4536034458905765]], 'inner_hash': 7343738506780516409, 'inner_nilpotent': False, 'inner_order': 11664, 'inner_split': False, 'inner_tex': '\\He_3^2:(C_2\\times D_4)', 'inner_used': [1, 2, 3], 'irrC_degree': 12, 'irrQ_degree': 12, 'irrQ_dim': 12, 'irrR_degree': 12, 'irrep_stats': [[1, 8], [2, 2], [4, 16], [8, 8], [12, 4], [16, 2], [18, 8], [24, 8], [36, 2]], 'label': '11664.be', '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': 'He3^2:(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, 0, 0, 0, 0, 0], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 34, 'number_characteristic_subgroups': 11, 'number_conjugacy_classes': 58, 'number_divisions': 56, 'number_normal_subgroups': 27, 'number_subgroup_autclasses': 763, 'number_subgroup_classes': 1628, 'number_subgroups': 112427, 'old_label': None, 'order': 11664, 'order_factorization_type': 33, 'order_stats': [[1, 1], [2, 531], [3, 728], [4, 972], [6, 7488], [12, 1944]], 'outer_abelian': True, 'outer_cyclic': False, 'outer_equivalence': True, 'outer_exponent': 2, 'outer_gen_orders': [2, 2], 'outer_gen_pows': [45603, 2644573625246156], 'outer_gens': [[2644399305049437, 1133928073837292, 4891634668788748], [2267688021454530, 2623369139072164, 4912644720337893]], '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': 8, 'perfect': False, 'permutation_degree': 18, 'pgroup': 0, 'primary_abelian_invariants': [2, 2, 2], 'quasisimple': False, 'rank': 3, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 8], [2, 2], [4, 16], [8, 8], [12, 4], [16, 2], [18, 8], [24, 4], [36, 2], [48, 2]], 'representations': {'PC': {'code': '41196294641100265800881159880475059411503112181062100982911664781652930497772374293407404963127778680167921714025426131939536282340447', 'gens': [1, 2, 4, 5, 7, 8, 9, 10], 'pres': [10, 2, 2, 2, 3, 2, 3, 3, 3, 3, 3, 93680, 59801, 51, 154682, 363203, 209453, 90903, 258404, 35614, 1524, 56884, 144, 84485, 197775, 1465, 645126, 75616, 118466, 57996, 19786, 9716, 69127, 5777, 43227, 7247, 2937, 291618, 9768, 32449]}, 'Perm': {'d': 18, 'gens': [4536034458905765, 1133847166193275, 2979163906969437]}}, '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': '\\He_3^2:(C_2\\times D_4)', 'transitive_degree': 18, 'wreath_data': None, 'wreath_product': False}