Query:
/api/gps_groups/?_offset=0
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '40.9', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 2, 'aut_exponent': 20, 'aut_gen_orders': [4, 20, 2, 4, 2, 2], 'aut_gens': [[1, 4, 40], [1, 230, 40], [33, 4, 280], [1, 6, 40], [21, 6, 40], [201, 4, 40], [1, 204, 40]], 'aut_group': '2560.a', 'aut_hash': 2468529910469021323, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 2560, 'aut_permdeg': 44, 'aut_perms': [2539952601002387016753988270054915292839200809529450507, 2611906399742676891958336037507314644641633110560902401, 1754385979732150569713301149931720725765176600303111972, 231957336697020958367975157597765009427458068568068435, 948939488489391996988564436787148180961892793699709773, 908137414054002229876153046163590249909993199656014091], 'aut_phi_ratio': 16.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 1, 2, 1], [2, 2, 2, 1], [4, 10, 4, 1], [5, 1, 4, 1], [5, 2, 2, 1], [5, 2, 8, 1], [10, 1, 4, 1], [10, 1, 8, 1], [10, 2, 2, 1], [10, 2, 4, 1], [10, 2, 8, 3], [10, 2, 16, 1], [10, 2, 32, 1], [20, 10, 16, 1]], 'aut_supersolvable': True, 'aut_tex': 'C_2^{16}.\\PSL(2,7)', 'autcent_abelian': True, 'autcent_cyclic': False, 'autcent_exponent': 4, 'autcent_group': '64.260', 'autcent_hash': 260, 'autcent_nilpotent': True, 'autcent_order': 64, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': True, 'autcent_tex': 'C_2^4\\times C_4', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 20, 'autcentquo_group': '40.12', 'autcentquo_hash': 12, 'autcentquo_nilpotent': False, 'autcentquo_order': 40, 'autcentquo_solvable': True, 'autcentquo_supersolvable': True, 'autcentquo_tex': 'C_2\\times F_5', 'cc_stats': [[1, 1, 1], [2, 1, 3], [2, 2, 2], [4, 10, 4], [5, 1, 4], [5, 2, 10], [10, 1, 12], [10, 2, 78], [20, 10, 16]], 'center_label': '20.5', 'center_order': 20, 'central_product': True, 'central_quotient': '20.4', 'commutator_count': 1, 'commutator_label': '10.2', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '2.1', '2.1', '5.1', '5.1'], 'composition_length': 6, 'conjugacy_classes_known': True, 'counter': 91, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [['5.1', 1], ['80.19', 1]], 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 3], [2, 2, 1, 2], [4, 10, 2, 2], [5, 1, 4, 1], [5, 2, 2, 1], [5, 2, 4, 2], [10, 1, 4, 3], [10, 2, 2, 3], [10, 2, 4, 18], [20, 10, 8, 2]], 'element_repr_type': 'PC', 'elementary': 1, 'eulerian_function': 18, 'exponent': 20, 'exponents_of_order': [4, 2], 'factors_of_aut_order': [2, 5], 'factors_of_order': [2, 5], 'faithful_reps': [], 'familial': False, 'frattini_label': '4.2', 'frattini_quotient': '100.14', 'hash': 91, 'hyperelementary': 1, 'id': 127108, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 10, 'inner_gen_orders': [2, 10, 1], 'inner_gens': [[1, 236, 40], [209, 4, 40], [1, 4, 40]], 'inner_hash': 4, 'inner_nilpotent': False, 'inner_order': 20, 'inner_split': True, 'inner_tex': 'D_{10}', 'inner_used': [1, 2], 'irrC_degree': -1, 'irrQ_degree': -1, 'irrQ_dim': -1, 'irrR_degree': -1, 'irrep_stats': [[1, 40], [2, 90]], 'label': '400.91', 'linC_count': 768, 'linC_degree': 3, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': 10, 'linQ_degree_count': 48, 'linQ_dim': 10, 'linQ_dim_count': 32, 'linR_count': 288, 'linR_degree': 6, 'maximal_subgroups_known': True, 'metabelian': True, 'metacyclic': False, 'monomial': True, 'name': 'C10^2:C4', 'ngens': 6, 'nilpotency_class': -1, 'nilpotent': False, 'normal_counts': [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': 18, 'number_characteristic_subgroups': 18, 'number_conjugacy_classes': 130, 'number_divisions': 38, 'number_normal_subgroups': 38, 'number_subgroup_autclasses': 52, 'number_subgroup_classes': 100, 'number_subgroups': 212, 'old_label': None, 'order': 400, 'order_factorization_type': 32, 'order_stats': [[1, 1], [2, 7], [4, 40], [5, 24], [10, 168], [20, 160]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': False, 'outer_exponent': 4, 'outer_gen_orders': [4, 2, 4, 4], 'outer_gen_pows': [0, 0, 0, 0], 'outer_gens': [[3, 12, 280], [223, 204, 40], [1, 204, 280], [223, 206, 360]], 'outer_group': '128.1003', 'outer_hash': 1003, 'outer_nilpotent': True, 'outer_order': 128, 'outer_permdeg': 12, 'outer_perms': [87470640, 1, 87459240, 22], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'D_4\\times C_4^2', 'pc_rank': 3, 'perfect': False, 'permutation_degree': 18, 'pgroup': 0, 'primary_abelian_invariants': [2, 4, 5], 'quasisimple': False, 'rank': 2, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 4], [2, 4], [4, 8], [8, 22]], 'representations': {'PC': {'code': 3311454849758502146099, 'gens': [1, 3, 5], 'pres': [6, -2, -2, -2, -5, -2, -5, 12, 4250, 50, 771, 88]}, 'GLZN': {'d': 2, 'p': 33, 'gens': [898450, 35962, 826574, 359380, 10923, 28083]}, 'Perm': {'d': 18, 'gens': [21010490726409, 83462416, 46200, 1037836816, 1037836800, 397620186163200]}}, 'schur_multiplier': [2, 2], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 20], 'solvability_type': 7, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'C_{10}^2:C_4', 'transitive_degree': 40, 'wreath_data': None, 'wreath_product': False}