Query:
/api/gps_groups/?_offset=0
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '60.4', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 3, 'aut_exponent': 1320, 'aut_gen_orders': [10, 20, 4, 22], 'aut_gens': [[1, 60, 660], [7091, 1260, 840], [5171, 6000, 6780], [7111, 4800, 5760], [4331, 600, 1200]], 'aut_group': None, 'aut_hash': 1191727547474175236, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 58080, 'aut_permdeg': 244, 'aut_perms': [9858298667526998819407837162436918828750945451470175545431059520005260294201356656628314278694765650887116960052539351508517689098121085934528078914198539402423201677975340919333038457015708781056481666175511442027690245977924071091467631629359810491413948019065583563238951602301084210664650534174854271566046934881623917583112164333803857768169024914385302098786181608694962098182462286043342545531726026803064390711604493974772340942006700927934888782679987690293743577116387, 4792313490302857112982170853225789870731900237011518533815679272141870075424838452393701060516957567326278552696405104779146479147648088708612138613400754690141531183693760960213615886623838348047522451964243144512443833957013971997510610997989694619814512851211364576508398999874347561344991314148499546371020812223385313191256996586548670540263653243753623540402472281875341487640470831439205659840033187360783720592461814205621970749883261139295524501659028941292578366443973, 5875126402739008568563391935878518542606038380049466085784171261838029357967130971200964439397697717418497584772704023973525990623634666468193683662606018535875380531145430089294549410559683705068395338470968041107153092496962434943829358784354349709179574413266839149729143930183699713370434625547848831094437175222868482648877969332257817723242154928150066350493070594229516972583066192501484822050722449901559144093707848864332087470924308011401769739800078563831370017642901, 4971406207422025974930063006767287866718403482646066356946156886498762023968189728931503678221155972162126069917674953646214240876289554962157263898407915255040455396051445343536234204892978640834555056145995682373044648340988720553719197148744557517824096024827815899708442418781054527318238016591436590445410850434259800367356042201363925690352078507528919400151491647903976583985260531746419819399451613183482952290977148405066566381787550394370169942647622728254088977934452], 'aut_phi_ratio': 33.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 121, 1, 1], [3, 1, 2, 1], [4, 121, 2, 1], [5, 121, 1, 4], [6, 121, 2, 1], [10, 121, 1, 4], [11, 20, 6, 1], [12, 121, 4, 1], [15, 121, 2, 4], [20, 121, 2, 4], [30, 121, 2, 4], [33, 20, 12, 1], [60, 121, 4, 4]], 'aut_supersolvable': False, 'aut_tex': 'C_{11}^2.C_{60}.C_2^3', 'autcent_abelian': True, 'autcent_cyclic': True, 'autcent_exponent': 2, 'autcent_group': '2.1', 'autcent_hash': 1, 'autcent_nilpotent': True, 'autcent_order': 2, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': True, 'autcent_tex': 'C_2', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 1320, 'autcentquo_group': '29040.bc', 'autcentquo_hash': 1762754374357461501, 'autcentquo_nilpotent': False, 'autcentquo_order': 29040, 'autcentquo_solvable': True, 'autcentquo_supersolvable': False, 'autcentquo_tex': 'F_{121}:C_2', 'cc_stats': [[1, 1, 1], [2, 121, 1], [3, 1, 2], [4, 121, 2], [5, 121, 4], [6, 121, 2], [10, 121, 4], [11, 20, 6], [12, 121, 4], [15, 121, 8], [20, 121, 8], [30, 121, 8], [33, 20, 12], [60, 121, 16]], 'center_label': '3.1', 'center_order': 3, 'central_product': True, 'central_quotient': '2420.b', 'commutator_count': 1, 'commutator_label': '121.2', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '3.1', '5.1', '11.1', '11.1'], 'composition_length': 6, 'conjugacy_classes_known': True, 'counter': 6, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [['2420.b', 1], ['3.1', 1]], 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 121, 1, 1], [3, 1, 2, 1], [4, 121, 2, 1], [5, 121, 4, 1], [6, 121, 2, 1], [10, 121, 4, 1], [11, 20, 1, 6], [12, 121, 4, 1], [15, 121, 8, 1], [20, 121, 8, 1], [30, 121, 8, 1], [33, 20, 2, 6], [60, 121, 16, 1]], 'element_repr_type': 'PC', 'elementary': 1, 'eulerian_function': 576, 'exponent': 660, 'exponents_of_order': [2, 2, 1, 1], 'factors_of_aut_order': [2, 3, 5, 11], 'factors_of_order': [2, 3, 5, 11], 'faithful_reps': [[20, 0, 12]], 'familial': False, 'frattini_label': '1.1', 'frattini_quotient': '7260.f', 'hash': 7584372576544646636, 'hyperelementary': 1, 'id': 157928, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 220, 'inner_gen_orders': [20, 11, 11], 'inner_gens': [[1, 2460, 2400], [5521, 60, 660], [6181, 60, 660]], 'inner_hash': 4831136090400852969, 'inner_nilpotent': False, 'inner_order': 2420, 'inner_split': False, 'inner_tex': 'C_{11}^2:C_{20}', 'inner_used': [1, 2], 'irrC_degree': 20, 'irrQ_degree': 40, 'irrQ_dim': 40, 'irrR_degree': 40, 'irrep_stats': [[1, 60], [20, 18]], 'label': '7260.f', 'linC_count': 12, 'linC_degree': 20, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': 22, 'linQ_degree_count': 12, 'linQ_dim': 22, 'linQ_dim_count': 12, 'linR_count': 120, 'linR_degree': 22, 'maximal_subgroups_known': True, 'metabelian': True, 'metacyclic': False, 'monomial': True, 'name': 'C11^2:C60', 'ngens': 6, '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, 0], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 32, 'number_characteristic_subgroups': 14, 'number_conjugacy_classes': 78, 'number_divisions': 24, 'number_normal_subgroups': 14, 'number_subgroup_autclasses': 32, 'number_subgroup_classes': 72, 'number_subgroups': 2040, 'old_label': None, 'order': 7260, 'order_factorization_type': 222, 'order_stats': [[1, 1], [2, 121], [3, 2], [4, 242], [5, 484], [6, 242], [10, 484], [11, 120], [12, 484], [15, 968], [20, 968], [30, 968], [33, 240], [60, 1936]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': False, 'outer_exponent': 6, 'outer_gen_orders': [2, 2, 6], 'outer_gen_pows': [0, 0, 13], 'outer_gens': [[41, 600, 6600], [31, 4260, 4380], [1, 1800, 720]], 'outer_group': '24.14', 'outer_hash': 14, 'outer_nilpotent': False, 'outer_order': 24, 'outer_permdeg': 7, 'outer_perms': [7, 120, 856], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'C_2\\times D_6', 'pc_rank': 3, 'perfect': False, 'permutation_degree': 25, 'pgroup': 0, 'primary_abelian_invariants': [4, 3, 5], 'quasisimple': False, 'rank': 2, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 2], [2, 3], [4, 3], [8, 3], [16, 1], [20, 6], [40, 6]], 'representations': {'PC': {'code': '854385113673286876184905823656331269862044423001399', 'gens': [1, 5, 6], 'pres': [6, -2, -2, -3, -5, -11, 11, 12, 31, 68, 73804, 7210, 4066, 472, 86405, 95051, 53477, 5963]}, 'GLFq': {'d': 2, 'q': 121, 'gens': [16280793, 207272754, 140740226, 1830210, 207916856, 58532609]}, 'Perm': {'d': 25, 'gens': [79102345851399529250184, 3, 732043497760373920319400, 1370644348715594434681923, 156754629610948768432443, 2051866659042956398467003]}}, 'schur_multiplier': [], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [60], 'solvability_type': 8, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': False, 'sylow_subgroups_known': True, 'tex_name': 'C_{11}^2:C_{60}', 'transitive_degree': 66, 'wreath_data': None, 'wreath_product': False}