Query:
/api/gps_groups/?_offset=0
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '18.5', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 3, 'aut_exponent': 18, 'aut_gen_orders': [6, 3, 6, 9, 9], 'aut_gens': [[1, 3, 18, 162], [14, 3, 522, 1260], [1, 3, 18, 216], [1, 3, 576, 900], [73, 1137, 18, 162], [487, 147, 18, 162]], 'aut_group': '8748.ny', 'aut_hash': 3226955967375321247, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 8748, 'aut_permdeg': 135, 'aut_perms': [59806525719855198619125854934373288661026250605075429538737507153348059684749286794012978419910645587800477447014775936313658361022172234370259191373416385056100552720571026088740161621385790631716231974908006929407630927212911620, 4362025305422961555281155903479504419161612571921971092243265215981535015009399265974035157930012833793750999681472261506186513098881307726207181662614694123125840584784726758403665363477646938506805068233909789520020261655030, 175399092218545078844880124309915731142864236758811831395325571896667437725999117153733518189810082094637764717001144080346006948510174177350676021790976373856972914547772656742217703636311464807738229330212874434286231428423681534, 99078245032639352982313628148421302884679202410030487104759550033255439991362157942013937797994088247491931307190367249949260334504572194209263350548421878152622491449627971841533488300084045935188806385388533324053500135541601148, 154385722643192823759582932234695448336282642581037578439151482850673962910923001927233977360735246960458361186113202838532372264708726891066125261710970399993703389970432001594021291543507928486274880560962227053531793608917576045], 'aut_phi_ratio': 18.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 81, 1, 1], [3, 2, 1, 1], [3, 6, 1, 1], [3, 9, 1, 2], [3, 27, 2, 3], [3, 54, 2, 1], [6, 81, 1, 2], [6, 81, 2, 3], [9, 18, 1, 3], [9, 18, 3, 1], [9, 54, 1, 2], [9, 54, 2, 2]], 'aut_supersolvable': True, 'aut_tex': 'C_9^2:C_3^2:D_6', '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': 18, 'autcentquo_group': '8748.ny', 'autcentquo_hash': 3226955967375321247, 'autcentquo_nilpotent': False, 'autcentquo_order': 8748, 'autcentquo_solvable': True, 'autcentquo_supersolvable': True, 'autcentquo_tex': 'C_9^2:C_3^2:D_6', 'cc_stats': [[1, 1, 1], [2, 81, 1], [3, 2, 1], [3, 6, 1], [3, 9, 2], [3, 27, 6], [3, 54, 2], [6, 81, 8], [9, 18, 6], [9, 54, 6]], 'center_label': '1.1', 'center_order': 1, 'central_product': False, 'central_quotient': '1458.1393', 'commutator_count': 1, 'commutator_label': '81.2', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '3.1', '3.1', '3.1', '3.1', '3.1', '3.1'], 'composition_length': 7, 'conjugacy_classes_known': True, 'counter': 1393, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [], 'direct_product': False, 'div_stats': [[1, 1, 1, 1], [2, 81, 1, 1], [3, 2, 1, 1], [3, 6, 1, 1], [3, 9, 2, 1], [3, 27, 2, 3], [3, 54, 2, 1], [6, 81, 2, 4], [9, 18, 1, 4], [9, 18, 2, 1], [9, 54, 2, 3]], 'element_repr_type': 'PC', 'elementary': 1, 'eulerian_function': 72, 'exponent': 18, 'exponents_of_order': [6, 1], 'factors_of_aut_order': [2, 3], 'factors_of_order': [2, 3], 'faithful_reps': [[18, 1, 3]], 'familial': False, 'frattini_label': '27.2', 'frattini_quotient': '54.12', 'hash': 1393, 'hyperelementary': 1, 'id': 197130, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 18, 'inner_gen_orders': [3, 6, 9, 9], 'inner_gens': [[1, 3, 990, 180], [1, 3, 90, 810], [487, 93, 18, 162], [145, 813, 18, 162]], 'inner_hash': 1393, 'inner_nilpotent': False, 'inner_order': 1458, 'inner_split': True, 'inner_tex': 'C_9^2:(C_3\\times C_6)', 'inner_used': [1, 2, 3, 4], 'irrC_degree': 18, 'irrQ_degree': 18, 'irrQ_dim': 18, 'irrR_degree': 18, 'irrep_stats': [[1, 18], [2, 9], [6, 3], [18, 4]], 'label': '1458.1393', 'linC_count': 3, 'linC_degree': 18, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': 18, 'linQ_degree_count': 3, 'linQ_dim': 18, 'linQ_dim_count': 3, 'linR_count': 3, 'linR_degree': 18, 'maximal_subgroups_known': True, 'metabelian': True, 'metacyclic': False, 'monomial': True, 'name': 'C9^2:(C3*C6)', 'ngens': 7, 'nilpotency_class': -1, 'nilpotent': False, 'normal_counts': [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': 16, 'number_conjugacy_classes': 34, 'number_divisions': 21, 'number_normal_subgroups': 22, 'number_subgroup_autclasses': 90, 'number_subgroup_classes': 113, 'number_subgroups': 1702, 'old_label': None, 'order': 1458, 'order_factorization_type': 51, 'order_stats': [[1, 1], [2, 81], [3, 296], [6, 648], [9, 432]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': False, 'outer_exponent': 6, 'outer_gen_orders': [2, 3], 'outer_gen_pows': [0, 0], 'outer_gens': [[14, 3, 576, 720], [1, 3, 18, 270]], 'outer_group': '6.1', 'outer_hash': 1, 'outer_nilpotent': False, 'outer_order': 6, 'outer_permdeg': 3, 'outer_perms': [1, 4], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'S_3', 'pc_rank': 4, 'perfect': False, 'permutation_degree': 27, 'pgroup': 0, 'primary_abelian_invariants': [2, 3, 3], 'quasisimple': False, 'rank': 2, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 2], [2, 9], [4, 4], [6, 1], [12, 1], [18, 4]], 'representations': {'PC': {'code': 2188040234504549834119725675657977708062086495, 'gens': [1, 2, 4, 6], 'pres': [7, 3, 2, 3, 3, 3, 3, 3, 36, 27723, 850, 605, 108, 1271, 7565, 11352, 7957, 166, 26466, 15889]}, 'Perm': {'d': 27, 'gens': [15618145818219673679602412, 7550102686338507196661760000, 806634631154760739265226694, 51706588025052938880243, 2935341388602599905184532724, 711549292653507, 806634631153204606767248884]}}, 'schur_multiplier': [3, 3], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [3, 6], 'solvability_type': 7, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'C_9^2:(C_3\\times C_6)', 'transitive_degree': 27, 'wreath_data': None, 'wreath_product': False}