Query:
/api/gps_groups/?_offset=0
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '100.16', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 2, 'aut_exponent': 220, 'aut_gen_orders': [20, 20, 20, 10, 20], 'aut_gens': [[1, 10], [2171, 1010], [441, 1070], [361, 530], [241, 410], [171, 630]], 'aut_group': None, 'aut_hash': 4503133850554087855, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 17600, 'aut_permdeg': 99, 'aut_perms': [828644537766376468434413103973187599696276504399522674178991864406292881708414747778557849604471672030427905832386562622890436055484454465693536487705178036, 862084497143803537782859195952847866787568703952390644199796543638352937914853040693390546896923252752248349772490399532411591725187559159580663220891249248, 933011641470483120595260405093552263287436851026543638987883285219167315514688334272263263975446111155007305190458015303713074733570108017905337157203218909, 509615185101270274443089038778372947025435118504495974033270054338357984057248849940961950924791452987517834564240534417322418579152031834510829365314012904, 871778456281920024668448723734447531173365570380069274995254041969417865377598020904335415945304248756342738671017958085899231856225169736462861926829930848], 'aut_phi_ratio': 22.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 22, 2, 1], [4, 2, 1, 1], [5, 1, 4, 1], [5, 11, 5, 4], [10, 1, 4, 1], [10, 11, 5, 4], [10, 22, 8, 1], [10, 22, 10, 4], [11, 10, 1, 1], [20, 2, 4, 1], [20, 22, 5, 4], [22, 10, 1, 1], [44, 10, 2, 1], [55, 10, 4, 1], [110, 10, 4, 1], [220, 10, 8, 1]], 'aut_supersolvable': True, 'aut_tex': 'C_{110}.C_{10}.C_2^4', 'autcent_abelian': False, 'autcent_cyclic': False, 'autcent_exponent': 20, 'autcent_group': '80.50', 'autcent_hash': 50, 'autcent_nilpotent': False, 'autcent_order': 80, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': True, 'autcent_tex': 'C_2^2\\times F_5', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 110, 'autcentquo_group': '220.7', 'autcentquo_hash': 7, 'autcentquo_nilpotent': False, 'autcentquo_order': 220, 'autcentquo_solvable': True, 'autcentquo_supersolvable': True, 'autcentquo_tex': 'C_2\\times F_{11}', 'cc_stats': [[1, 1, 1], [2, 1, 1], [2, 22, 2], [4, 2, 1], [5, 1, 4], [5, 11, 20], [10, 1, 4], [10, 11, 20], [10, 22, 48], [11, 10, 1], [20, 2, 4], [20, 22, 20], [22, 10, 1], [44, 10, 2], [55, 10, 4], [110, 10, 4], [220, 10, 8]], 'center_label': '10.2', 'center_order': 10, 'central_product': True, 'central_quotient': '220.7', 'commutator_count': 1, 'commutator_label': '22.2', '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': 17, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [['440.9', 1], ['5.1', 1]], 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 22, 1, 2], [4, 2, 1, 1], [5, 1, 4, 1], [5, 11, 4, 5], [10, 1, 4, 1], [10, 11, 4, 5], [10, 22, 4, 12], [11, 10, 1, 1], [20, 2, 4, 1], [20, 22, 4, 5], [22, 10, 1, 1], [44, 10, 2, 1], [55, 10, 4, 1], [110, 10, 4, 1], [220, 10, 8, 1]], 'element_repr_type': 'PC', 'elementary': 1, 'eulerian_function': 72, 'exponent': 220, 'exponents_of_order': [3, 2, 1], 'factors_of_aut_order': [2, 5, 11], 'factors_of_order': [2, 5, 11], 'faithful_reps': [[10, 0, 8]], 'familial': False, 'frattini_label': '2.1', 'frattini_quotient': '1100.29', 'hash': 4436843716542551885, 'hyperelementary': 1, 'id': 143801, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 110, 'inner_gen_orders': [10, 22], 'inner_gens': [[1, 1710], [501, 10]], 'inner_hash': 7, 'inner_nilpotent': False, 'inner_order': 220, 'inner_split': True, 'inner_tex': 'C_2\\times F_{11}', 'inner_used': [1, 2], 'irrC_degree': 10, 'irrQ_degree': 80, 'irrQ_dim': 80, 'irrR_degree': 20, 'irrep_stats': [[1, 100], [2, 25], [10, 20]], 'label': '2200.q', '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': True, 'monomial': True, 'name': 'C220:C10', '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': 30, 'number_characteristic_subgroups': 18, 'number_conjugacy_classes': 145, 'number_divisions': 41, 'number_normal_subgroups': 54, 'number_subgroup_autclasses': 48, 'number_subgroup_classes': 128, 'number_subgroups': 900, 'old_label': None, 'order': 2200, 'order_factorization_type': 321, 'order_stats': [[1, 1], [2, 45], [4, 2], [5, 224], [10, 1280], [11, 10], [20, 448], [22, 10], [44, 20], [55, 40], [110, 40], [220, 80]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': True, 'outer_exponent': 20, 'outer_gen_orders': [2, 4, 10], 'outer_gen_pows': [0, 0, 1210], 'outer_gens': [[1101, 210], [441, 1530], [991, 210]], 'outer_group': '80.50', 'outer_hash': 50, 'outer_nilpotent': False, 'outer_order': 80, 'outer_permdeg': 9, 'outer_perms': [7, 10216, 92176], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'C_2^2\\times F_5', 'pc_rank': 2, 'perfect': False, 'permutation_degree': 20, 'pgroup': 0, 'primary_abelian_invariants': [2, 2, 5, 5], 'quasisimple': False, 'rank': 2, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 4], [2, 1], [4, 24], [8, 6], [10, 2], [20, 1], [40, 2], [80, 1]], 'representations': {'PC': {'code': '12273549411711557644305157960972486542639069030039', 'gens': [1, 3], 'pres': [6, -2, -5, -2, -2, -5, -11, 12, 30782, 18098, 50, 29283, 21849, 69, 7204, 21610, 178, 43205, 10811]}, 'GLFp': {'d': 4, 'p': 11, 'gens': [12531822321003912, 10522401710269773, 29551865524873183, 36387065548869014, 33418192856010432, 148195558093159]}, 'Perm': {'d': 20, 'gens': [42, 20993753496039171, 147304568115170640, 41082, 277464104942613929, 379296456565512240]}}, 'schur_multiplier': [10], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [10, 10], 'solvability_type': 6, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'C_{220}:C_{10}', 'transitive_degree': 220, 'wreath_data': None, 'wreath_product': False}