Query:
/api/gps_groups/?_offset=0
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '100.8', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 2, 'aut_exponent': 220, 'aut_gen_orders': [10, 20, 10, 20, 20], 'aut_gens': [[1, 5, 100], [1, 5109, 5400], [3, 2507, 4200], [4, 1306, 1600], [2, 4707, 900], [1, 4056, 800]], 'aut_group': None, 'aut_hash': 9029674209157533335, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 88000, 'aut_permdeg': 65, 'aut_perms': [2306189787178934340249945646084349849792451367080693244126124878272527135302429657590912584, 5278981974351819326252331301197374545591170486417403600656833402340514246564167593151390405, 5152127086223985183246878176844248761269102902540456542128653121022100563885099782500227538, 5157979925224022834066162220550218624396899795593192419759124469227307820857778627868619891, 1290870528647873770669417742494393668037088831179833170534427147278787641747351003552991812], 'aut_phi_ratio': 44.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [4, 5, 2, 1], [5, 1, 4, 1], [5, 2, 2, 1], [5, 2, 8, 1], [5, 11, 5, 4], [5, 22, 10, 4], [10, 1, 4, 1], [10, 2, 2, 1], [10, 2, 8, 1], [10, 11, 5, 4], [10, 22, 10, 4], [11, 5, 2, 1], [20, 5, 8, 1], [20, 55, 10, 4], [22, 5, 2, 1], [44, 25, 4, 1], [55, 5, 8, 1], [55, 10, 4, 1], [55, 10, 16, 1], [110, 5, 8, 1], [110, 10, 4, 1], [110, 10, 16, 1], [220, 25, 16, 1]], 'aut_supersolvable': True, 'aut_tex': 'C_{55}.(C_{20}\\times D_5).C_2^3', 'autcent_abelian': False, 'autcent_cyclic': False, 'autcent_exponent': 20, 'autcent_group': '40.12', 'autcent_hash': 12, 'autcent_nilpotent': False, 'autcent_order': 40, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': True, 'autcent_tex': 'C_2\\times F_5', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 220, 'autcentquo_group': '2200.be', 'autcentquo_hash': 5423566900542061453, 'autcentquo_nilpotent': False, 'autcentquo_order': 2200, 'autcentquo_solvable': True, 'autcentquo_supersolvable': True, 'autcentquo_tex': 'F_5\\times F_{11}', 'cc_stats': [[1, 1, 1], [2, 1, 1], [4, 5, 2], [5, 1, 4], [5, 2, 10], [5, 11, 20], [5, 22, 40], [10, 1, 4], [10, 2, 10], [10, 11, 20], [10, 22, 40], [11, 5, 2], [20, 5, 8], [20, 55, 40], [22, 5, 2], [44, 25, 4], [55, 5, 8], [55, 10, 20], [110, 5, 8], [110, 10, 20], [220, 25, 16]], 'center_label': '10.2', 'center_order': 10, 'central_product': True, 'central_quotient': '550.8', 'commutator_count': 1, 'commutator_label': '55.2', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '5.1', '5.1', '5.1', '11.1'], 'composition_length': 6, 'conjugacy_classes_known': True, 'counter': 1, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [['20.1', 1], ['5.1', 1], ['55.1', 1]], 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [4, 5, 2, 1], [5, 1, 4, 1], [5, 2, 2, 1], [5, 2, 4, 2], [5, 11, 4, 5], [5, 22, 4, 10], [10, 1, 4, 1], [10, 2, 2, 1], [10, 2, 4, 2], [10, 11, 4, 5], [10, 22, 4, 10], [11, 5, 2, 1], [20, 5, 8, 1], [20, 55, 8, 5], [22, 5, 2, 1], [44, 25, 4, 1], [55, 5, 8, 1], [55, 10, 4, 1], [55, 10, 8, 2], [110, 5, 8, 1], [110, 10, 4, 1], [110, 10, 8, 2], [220, 25, 16, 1]], 'element_repr_type': 'PC', 'elementary': 1, 'eulerian_function': 144, '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, 16]], 'familial': False, 'frattini_label': '2.1', 'frattini_quotient': '2750.d', 'hash': 7176339576926168759, 'hyperelementary': 1, 'id': 156077, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 110, 'inner_gen_orders': [1, 10, 55], 'inner_gens': [[1, 5, 100], [1, 5, 4900], [1, 705, 100]], 'inner_hash': 8, 'inner_nilpotent': False, 'inner_order': 550, 'inner_split': False, 'inner_tex': 'C_{55}:C_{10}', 'inner_used': [2, 3], 'irrC_degree': 10, 'irrQ_degree': 80, 'irrQ_dim': 80, 'irrR_degree': 20, 'irrep_stats': [[1, 100], [2, 100], [5, 40], [10, 40]], 'label': '5500.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': 'C5*C55:C20', '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': 40, 'number_characteristic_subgroups': 25, 'number_conjugacy_classes': 280, 'number_divisions': 59, 'number_normal_subgroups': 50, 'number_subgroup_autclasses': 64, 'number_subgroup_classes': 192, 'number_subgroups': 1832, 'old_label': None, 'order': 5500, 'order_factorization_type': 321, 'order_stats': [[1, 1], [2, 1], [4, 10], [5, 1124], [10, 1124], [11, 10], [20, 2240], [22, 10], [44, 100], [55, 240], [110, 240], [220, 400]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': True, 'outer_exponent': 20, 'outer_gen_orders': [2, 2, 4, 10], 'outer_gen_pows': [1100, 25, 0, 0], 'outer_gens': [[1, 1105, 2100], [1, 5, 4300], [3, 5, 2100], [1, 57, 2100]], 'outer_group': '160.236', 'outer_hash': 236, 'outer_nilpotent': False, 'outer_order': 160, 'outer_permdeg': 11, 'outer_perms': [126, 1, 731089, 8064288], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'C_2^3\\times F_5', 'pc_rank': 3, 'perfect': False, 'permutation_degree': 25, 'pgroup': 0, 'primary_abelian_invariants': [4, 5, 5], 'quasisimple': False, 'rank': 2, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 2], [2, 1], [4, 14], [8, 30], [10, 2], [20, 1], [40, 4], [80, 5]], 'representations': {'PC': {'code': '7025069704124447927553522980907102230300339', 'gens': [1, 2, 5], 'pres': [6, -5, -2, -2, -5, -5, -11, 31, 50, 29410, 10816, 4672, 178, 18011, 5417, 8123]}, 'GLFp': {'d': 4, 'p': 11, 'gens': [12531822321003912, 2223827614270807, 40144423758791283, 37678710548104341, 36687300164533435, 8388386403068862]}, 'Perm': {'d': 25, 'gens': [1407311804138, 674451527608736324933069, 1319576854410911416320000, 1913100451620447828700755, 2484041864839335457233622, 1284626]}}, 'schur_multiplier': [5], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [5, 20], 'solvability_type': 7, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'C_5\\times C_{55}:C_{20}', 'transitive_degree': 220, 'wreath_data': None, 'wreath_product': False}