Query:
/api/gps_groups/?_offset=0
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'abelian_quotient': '484.12', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 2, 'aut_exponent': 1320, 'aut_gen_orders': [5, 60, 30, 10, 10, 24], 'aut_gens': [[1, 22], [5, 110], [165, 15], [248, 385], [17, 374], [246, 99], [158, 471]], 'aut_group': '79200.a', 'aut_hash': 1432779623597382946, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 79200, 'aut_permdeg': 123, 'aut_perms': [2403249856943194883791987549711044746641325842495535757825488841060086308268839892622489059084645933789654533586023001895455993823569845195914222314888763324419114372498974093346579286943349210651884, 197504515093513527157006423938258422573278062116658039049449912183479725850179839915351296056406276924192316501085214834790545426021157482308879090196044269487872373111289285535504438240140451286477490059, 99565217848108507895708079398949341391025213553367169948338118250530673895625528817035679278192109393576667724816924565426237963199962555770986192545447579127537630118349410210030579522746582891292339203, 5345987245149897624118399922326182384089877273872281707641514225461663148744646288491076449156916767357600052219255732868360163801478130117098119986418088761122680482074530030579522746582891292339203, 810323684085637734142653194601811972978028500543449127730020872561775844691570551673319906864460679463077898539342859800112300012700420640870178412001449582309780558492470093899740987147749803384488354, 99562060656386698007530796474125200597598190291138126987825860387058911736825297392492528340928468227419770758988476413326636299135242680699372440908761513221884422819304706351697861729414558980018467805], 'aut_phi_ratio': 360.0, 'aut_solvable': False, 'aut_stats': [[1, 1, 1, 1], [2, 1, 3, 1], [11, 1, 120, 1], [22, 1, 360, 1]], 'aut_supersolvable': False, 'aut_tex': '\\SL(2,11):(S_3\\times C_{10})', 'autcent_abelian': False, 'autcent_cyclic': False, 'autcent_exponent': 1320, 'autcent_group': '79200.a', 'autcent_hash': 1432779623597382946, 'autcent_nilpotent': False, 'autcent_order': 79200, 'autcent_solvable': False, 'autcent_split': True, 'autcent_supersolvable': False, 'autcent_tex': '\\SL(2,11):(S_3\\times C_{10})', 'autcentquo_abelian': True, 'autcentquo_cyclic': True, 'autcentquo_exponent': 1, 'autcentquo_group': '1.1', 'autcentquo_hash': 1, 'autcentquo_nilpotent': True, 'autcentquo_order': 1, 'autcentquo_solvable': True, 'autcentquo_supersolvable': True, 'autcentquo_tex': 'C_1', 'cc_stats': [[1, 1, 1], [2, 1, 3], [11, 1, 120], [22, 1, 360]], 'center_label': '484.12', 'center_order': 484, 'central_product': True, 'central_quotient': '1.1', 'commutator_count': 0, 'commutator_label': '1.1', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '11.1', '11.1'], 'composition_length': 4, 'conjugacy_classes_known': True, 'counter': 12, 'cyclic': False, 'derived_length': 1, 'dihedral': False, 'direct_factorization': [['11.1', 2], ['2.1', 2]], 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 3], [11, 1, 10, 12], [22, 1, 10, 36]], 'element_repr_type': 'PC', 'elementary': 1, 'eulerian_function': 1, 'exponent': 22, 'exponents_of_order': [2, 2], 'factors_of_aut_order': [2, 3, 5, 11], 'factors_of_order': [2, 11], 'faithful_reps': [], 'familial': False, 'frattini_label': '1.1', 'frattini_quotient': '484.12', 'hash': 12, 'hyperelementary': 1, 'id': 129679, 'inner_abelian': True, 'inner_cyclic': True, 'inner_exponent': 1, 'inner_gen_orders': [1, 1], 'inner_gens': [[1, 22], [1, 22]], 'inner_hash': 1, 'inner_nilpotent': True, 'inner_order': 1, 'inner_split': True, 'inner_tex': 'C_1', 'inner_used': [], 'irrC_degree': -1, 'irrQ_degree': -1, 'irrQ_dim': -1, 'irrR_degree': -1, 'irrep_stats': [[1, 484]], 'label': '484.12', 'linC_count': 39600, 'linC_degree': 2, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': 20, 'linQ_degree_count': 396, 'linQ_dim': 20, 'linQ_dim_count': 396, 'linR_count': 9900, 'linR_degree': 4, 'maximal_subgroups_known': True, 'metabelian': True, 'metacyclic': True, 'monomial': True, 'name': 'C22^2', 'ngens': 4, 'nilpotency_class': 1, 'nilpotent': True, 'normal_counts': [0, 0, 0, 0, 0, 0, 0, 0, 0], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 4, 'number_characteristic_subgroups': 4, 'number_conjugacy_classes': 484, 'number_divisions': 52, 'number_normal_subgroups': 70, 'number_subgroup_autclasses': 9, 'number_subgroup_classes': 70, 'number_subgroups': 70, 'old_label': None, 'order': 484, 'order_factorization_type': 22, 'order_stats': [[1, 1], [2, 3], [11, 120], [22, 360]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': False, 'outer_exponent': 1320, 'outer_gen_orders': [5, 60, 30, 10, 10, 24], 'outer_gen_pows': [0, 0, 0, 0, 0, 0], 'outer_gens': [[5, 110], [165, 15], [248, 385], [17, 374], [246, 99], [158, 471]], 'outer_group': '79200.a', 'outer_hash': 1432779623597382946, 'outer_nilpotent': False, 'outer_order': 79200, 'outer_permdeg': 123, 'outer_perms': [2403249856943194883791987549711044746641325842495535757825488841060086308268839892622489059084645933789654533586023001895455993823569845195914222314888763324419114372498974093346579286943349210651884, 197504515093513527157006423938258422573278062116658039049449912183479725850179839915351296056406276924192316501085214834790545426021157482308879090196044269487872373111289285535504438240140451286477490059, 99565217848108507895708079398949341391025213553367169948338118250530673895625528817035679278192109393576667724816924565426237963199962555770986192545447579127537630118349410210030579522746582891292339203, 5345987245149897624118399922326182384089877273872281707641514225461663148744646288491076449156916767357600052219255732868360163801478130117098119986418088761122680482074530030579522746582891292339203, 810323684085637734142653194601811972978028500543449127730020872561775844691570551673319906864460679463077898539342859800112300012700420640870178412001449582309780558492470093899740987147749803384488354, 99562060656386698007530796474125200597598190291138126987825860387058911736825297392492528340928468227419770758988476413326636299135242680699372440908761513221884422819304706351697861729414558980018467805], 'outer_solvable': False, 'outer_supersolvable': False, 'outer_tex': '\\SL(2,11):(S_3\\times C_{10})', 'pc_rank': 2, 'perfect': False, 'permutation_degree': 26, 'pgroup': 0, 'primary_abelian_invariants': [2, 2, 11, 11], 'quasisimple': False, 'rank': 2, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 4], [10, 48]], 'representations': {'PC': {'code': 2590770909, 'gens': [1, 3], 'pres': [4, -2, -11, -2, -11, 8, 34]}, 'GLFp': {'d': 2, 'p': 23, 'gens': [60836, 170343]}, 'Perm': {'d': 26, 'gens': [15511210043330985984000000, 25852016738884976640000, 510909421717094400000, 36288000]}}, 'schur_multiplier': [22], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [22, 22], 'solvability_type': 1, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'C_{22}^2', 'transitive_degree': 484, 'wreath_data': None, 'wreath_product': False}