Query:
/api/gps_groups/?_offset=0
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '8.2', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 3, 'aut_exponent': 20, 'aut_gen_orders': [4, 10, 4, 10, 5], 'aut_gens': [[1, 4, 40, 400], [1601, 1852, 120, 1200], [1929, 964, 220, 80], [261, 1844, 920, 800], [1621, 1764, 1240, 1600], [881, 1604, 1640, 400]], 'aut_group': '8000.ec', 'aut_hash': 891870670453295212, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 8000, 'aut_permdeg': 60, 'aut_perms': [5123164365296657703162713706725674396184394373682900306091756497646031230872462321, 2374872924465371931090670275852409567192152169783221545877854934387769520366371012, 3597502252630746111809375357682313553703429382462525969821668067484614377978396177, 3458780042790814555529137489306258627986706066174857747174028529971134087548338132, 6106172673580136040429116028584561344277483473941598217953451854549014935027913979], 'aut_phi_ratio': 10.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 5, 1, 1], [2, 10, 1, 1], [2, 25, 1, 1], [2, 50, 1, 1], [2, 125, 1, 1], [4, 50, 1, 2], [4, 250, 1, 2], [5, 4, 1, 1], [5, 4, 2, 2], [5, 8, 1, 1], [5, 8, 4, 1], [5, 16, 2, 2], [10, 20, 2, 4], [10, 40, 1, 1], [10, 40, 4, 1], [10, 100, 1, 1], [10, 100, 2, 1], [20, 100, 2, 2]], 'aut_supersolvable': False, 'aut_tex': '\\GL(2,3)^2:C_2', 'autcent_abelian': True, 'autcent_cyclic': True, 'autcent_exponent': 1, 'autcent_group': '1.1', 'autcent_hash': 1, 'autcent_nilpotent': True, 'autcent_order': 1, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': True, 'autcent_tex': 'C_1', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 20, 'autcentquo_group': '8000.ec', 'autcentquo_hash': 891870670453295212, 'autcentquo_nilpotent': False, 'autcentquo_order': 8000, 'autcentquo_solvable': True, 'autcentquo_supersolvable': False, 'autcentquo_tex': '\\GL(2,3)^2:C_2', 'cc_stats': [[1, 1, 1], [2, 5, 1], [2, 10, 1], [2, 25, 1], [2, 50, 1], [2, 125, 1], [4, 50, 2], [4, 250, 2], [5, 4, 5], [5, 8, 5], [5, 16, 4], [10, 20, 8], [10, 40, 5], [10, 100, 3], [20, 100, 4]], 'center_label': '1.1', 'center_order': 1, 'central_product': False, 'central_quotient': '2000.905', 'commutator_count': 1, 'commutator_label': '250.13', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '2.1', '2.1', '5.1', '5.1', '5.1'], 'composition_length': 7, 'conjugacy_classes_known': True, 'counter': 905, 'cyclic': False, 'derived_length': 3, 'dihedral': False, 'direct_factorization': [], 'direct_product': False, 'div_stats': [[1, 1, 1, 1], [2, 5, 1, 1], [2, 10, 1, 1], [2, 25, 1, 1], [2, 50, 1, 1], [2, 125, 1, 1], [4, 50, 2, 1], [4, 250, 2, 1], [5, 4, 1, 1], [5, 4, 2, 2], [5, 8, 1, 1], [5, 8, 2, 2], [5, 16, 1, 2], [5, 16, 2, 1], [10, 20, 2, 4], [10, 40, 1, 1], [10, 40, 2, 2], [10, 100, 1, 1], [10, 100, 2, 1], [20, 100, 4, 1]], 'element_repr_type': 'PC', 'elementary': 1, 'eulerian_function': 144, 'exponent': 20, 'exponents_of_order': [4, 3], 'factors_of_aut_order': [2, 5], 'factors_of_order': [2, 5], 'faithful_reps': [[8, 1, 8], [16, 1, 4]], 'familial': False, 'frattini_label': '1.1', 'frattini_quotient': '2000.905', 'hash': 905, 'hyperelementary': 1, 'id': 279999, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 20, 'inner_gen_orders': [4, 10, 10, 5], 'inner_gens': [[1, 12, 1500, 160], [33, 4, 1960, 1600], [1941, 484, 40, 1600], [641, 804, 840, 400]], 'inner_hash': 905, 'inner_nilpotent': False, 'inner_order': 2000, 'inner_split': False, 'inner_tex': 'D_5^2:F_5', 'inner_used': [1, 2, 3], 'irrC_degree': 8, 'irrQ_degree': 16, 'irrQ_dim': 16, 'irrR_degree': 8, 'irrep_stats': [[1, 8], [2, 2], [4, 20], [8, 10], [16, 4]], 'label': '2000.905', 'linC_count': 72, 'linC_degree': 8, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': 12, 'linQ_degree_count': 16, 'linQ_dim': 12, 'linQ_dim_count': 16, 'linR_count': 56, 'linR_degree': 8, 'maximal_subgroups_known': True, 'metabelian': False, 'metacyclic': False, 'monomial': True, 'name': 'D5^2:F5', 'ngens': 7, '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], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 27, 'number_characteristic_subgroups': 17, 'number_conjugacy_classes': 44, 'number_divisions': 27, 'number_normal_subgroups': 17, 'number_subgroup_autclasses': 152, 'number_subgroup_classes': 168, 'number_subgroups': 4660, 'old_label': None, 'order': 2000, 'order_factorization_type': 33, 'order_stats': [[1, 1], [2, 215], [4, 600], [5, 124], [10, 660], [20, 400]], 'outer_abelian': True, 'outer_cyclic': False, 'outer_equivalence': False, 'outer_exponent': 2, 'outer_gen_orders': [2, 2], 'outer_gen_pows': [1300, 1282], 'outer_gens': [[1521, 436, 1500, 160], [501, 1948, 280, 1200]], 'outer_group': '4.2', 'outer_hash': 2, 'outer_nilpotent': True, 'outer_order': 4, 'outer_permdeg': 4, 'outer_perms': [1, 6], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'C_2^2', 'pc_rank': 4, 'perfect': False, 'permutation_degree': 15, 'pgroup': 0, 'primary_abelian_invariants': [2, 4], 'quasisimple': False, 'rank': 2, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 4], [2, 4], [4, 2], [8, 9], [16, 7], [32, 1]], 'representations': {'PC': {'code': 432562277874009337701058442641846802082522640524722888330189291727, 'gens': [1, 3, 5, 7], 'pres': [7, 2, 2, 2, 5, 2, 5, 5, 14, 254, 387, 58, 675, 458, 52504, 34311, 17168, 102, 33605, 6732, 3379, 7846, 39213, 19620, 1994]}, 'GLFp': {'d': 4, 'p': 5, 'gens': [110733596876, 1051737139, 30568177402, 73844517010, 22988300515, 86602490001, 134942333751]}, 'Perm': {'d': 15, 'gens': [88790698809, 41414400, 2000931136, 2000931120, 189330473520, 195491087280, 34]}}, 'schur_multiplier': [2, 2], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 4], 'solvability_type': 11, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': False, 'sylow_subgroups_known': True, 'tex_name': 'D_5^2:F_5', 'transitive_degree': 20, 'wreath_data': None, 'wreath_product': False}