Query:
/api/gps_groups/?_offset=0
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '200.52', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 3, 'aut_exponent': 660, 'aut_gen_orders': [110, 60, 20, 20], 'aut_gens': [[1, 2, 20], [1100, 1722, 1121], [1101, 742, 361], [1101, 2043, 1060], [1, 462, 260]], 'aut_group': None, 'aut_hash': 2421921513491312985, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 52800, 'aut_permdeg': 99, 'aut_perms': [714265775154330376409920049657929444530024032789233167475462608659900091429322298204401839383978883515756222145820789564983419122657964098485783892585285142, 796682753905876141131755059287587106074617134598240249297826865492934544488852455869386056351523830968834121913941949076011539510721679662150918528813167291, 589277767632692822531040531011668555119148287615573924937297598700875456249259203527843804823210419602032460145172065458834142486291029754423720292858754442, 667672848896907103295921531513551022302978110001910005244630191213345925079047560005634762308909905605831337057055016115954773634645783435795451792680732738], 'aut_phi_ratio': 66.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 1, 3, 1], [2, 11, 4, 1], [5, 1, 4, 1], [5, 11, 5, 4], [10, 1, 12, 1], [10, 11, 15, 4], [10, 11, 16, 1], [10, 11, 20, 4], [11, 10, 1, 1], [22, 10, 3, 1], [55, 10, 4, 1], [110, 10, 12, 1]], 'aut_supersolvable': False, 'aut_tex': 'C_2^2.C_{165}.C_{10}.C_2^3', 'autcent_abelian': False, 'autcent_cyclic': False, 'autcent_exponent': 60, 'autcent_group': '480.1189', 'autcent_hash': 1189, 'autcent_nilpotent': False, 'autcent_order': 480, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': False, 'autcent_tex': 'F_5\\times S_4', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 110, 'autcentquo_group': '110.1', 'autcentquo_hash': 1, 'autcentquo_nilpotent': False, 'autcentquo_order': 110, 'autcentquo_solvable': True, 'autcentquo_supersolvable': True, 'autcentquo_tex': 'F_{11}', 'cc_stats': [[1, 1, 1], [2, 1, 3], [2, 11, 4], [5, 1, 4], [5, 11, 20], [10, 1, 12], [10, 11, 156], [11, 10, 1], [22, 10, 3], [55, 10, 4], [110, 10, 12]], 'center_label': '20.5', 'center_order': 20, 'central_product': True, 'central_quotient': '110.1', 'commutator_count': 1, 'commutator_label': '11.1', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '2.1', '5.1', '5.1', '11.1'], 'composition_length': 6, 'conjugacy_classes_known': True, 'counter': 1, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [['110.1', 1], ['2.1', 2], ['5.1', 1]], 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 3], [2, 11, 1, 4], [5, 1, 4, 1], [5, 11, 4, 5], [10, 1, 4, 3], [10, 11, 4, 39], [11, 10, 1, 1], [22, 10, 1, 3], [55, 10, 4, 1], [110, 10, 4, 3]], 'element_repr_type': 'PC', 'elementary': 1, 'eulerian_function': 62496, 'exponent': 110, 'exponents_of_order': [3, 2, 1], 'factors_of_aut_order': [2, 3, 5, 11], 'factors_of_order': [2, 5, 11], 'faithful_reps': [], 'familial': False, 'frattini_label': '1.1', 'frattini_quotient': '2200.a', 'hash': 8517226613379590578, 'hyperelementary': 1, 'id': 50139, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 110, 'inner_gen_orders': [1, 10, 11], 'inner_gens': [[1, 2, 20], [1, 2, 2020], [1, 202, 20]], 'inner_hash': 1, 'inner_nilpotent': False, 'inner_order': 110, 'inner_split': True, 'inner_tex': 'F_{11}', 'inner_used': [2, 3], 'irrC_degree': -1, 'irrQ_degree': -1, 'irrQ_dim': -1, 'irrR_degree': -1, 'irrep_stats': [[1, 200], [10, 20]], 'label': '2200.a', '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': 'C22:C10^2', '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], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 22, 'number_characteristic_subgroups': 13, 'number_conjugacy_classes': 220, 'number_divisions': 64, 'number_normal_subgroups': 138, 'number_subgroup_autclasses': 48, 'number_subgroup_classes': 256, 'number_subgroups': 1436, 'old_label': None, 'order': 2200, 'order_factorization_type': 321, 'order_stats': [[1, 1], [2, 47], [5, 224], [10, 1728], [11, 10], [22, 30], [55, 40], [110, 120]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': True, 'outer_exponent': 60, 'outer_gen_orders': [4, 2, 2, 3, 5, 2, 2], 'outer_gen_pows': [0, 0, 0, 0, 0, 0, 0], 'outer_gens': [[1, 1322, 1740], [1100, 1103, 1521], [1, 1762, 1780], [1101, 1102, 1121], [1, 1322, 20], [1, 1102, 420], [1, 3, 20]], 'outer_group': '480.1189', 'outer_hash': 1189, 'outer_nilpotent': False, 'outer_order': 480, 'outer_permdeg': 9, 'outer_perms': [18, 10800, 16, 10080, 77, 41040, 131760], 'outer_solvable': True, 'outer_supersolvable': False, 'outer_tex': 'F_5\\times S_4', 'pc_rank': 3, 'perfect': False, 'permutation_degree': 20, 'pgroup': 0, 'primary_abelian_invariants': [2, 2, 2, 5, 5], 'quasisimple': False, 'rank': 3, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 8], [4, 48], [10, 4], [40, 4]], 'representations': {'PC': {'code': '1727554432128756489267303478851610003039', 'gens': [1, 2, 4], 'pres': [6, -2, -2, -5, -2, -5, -11, 31, 24249, 9735, 69, 27610, 7816, 178, 7211, 7217]}, 'GLFp': {'d': 4, 'p': 11, 'gens': [12239127642457250, 15248936915766628, 32182222080390795, 41772741070013040, 27891612979999511, 28564507116416655]}, 'Perm': {'d': 20, 'gens': [6448167300153616, 655894593149241600, 136920, 7, 39611113556889600, 23]}}, 'schur_multiplier': [2, 2, 10], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 10, 10], 'solvability_type': 7, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'C_{22}:C_{10}^2', 'transitive_degree': 220, 'wreath_data': None, 'wreath_product': False}