Query:
/api/gps_groups/?_offset=0
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '80.52', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 4, 'aut_exponent': 24, 'aut_gen_orders': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4], 'aut_gens': [[1, 2, 4, 8], [81, 2, 86, 8], [1, 2, 4, 90], [1, 2, 4, 89], [1, 2, 84, 88], [2, 1, 84, 72], [1, 2, 85, 89], [1, 2, 4, 88], [1, 2, 86, 90], [1, 83, 5, 72], [1, 82, 85, 8], [1, 2, 124, 152], [1, 2, 4, 136]], 'aut_group': '12288.bmk', 'aut_hash': 8451711693706374875, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 12288, 'aut_permdeg': 20, 'aut_perms': [43153337611560, 3223512404392320, 2867824310572800, 121689561337349040, 21010008458880, 628175426837414400, 1800761097139320, 756381783387686400, 10593219611520, 2702534652840, 864832218064835880, 17], 'aut_phi_ratio': 192.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 1, 6, 1], [2, 2, 8, 1], [4, 2, 4, 1], [5, 1, 4, 1], [10, 1, 4, 1], [10, 1, 24, 1], [10, 2, 32, 1], [20, 2, 16, 1]], 'aut_supersolvable': False, 'aut_tex': 'C_2^7.(C_2^2\\times S_4)', 'autcent_abelian': False, 'autcent_cyclic': False, 'autcent_exponent': 12, 'autcent_group': None, 'autcent_hash': 83612722323396385, 'autcent_nilpotent': False, 'autcent_order': 6144, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': False, 'autcent_tex': 'C_2^4.C_2^4.D_6.C_2', 'autcentquo_abelian': True, 'autcentquo_cyclic': True, 'autcentquo_exponent': 2, 'autcentquo_group': '2.1', 'autcentquo_hash': 1, 'autcentquo_nilpotent': True, 'autcentquo_order': 2, 'autcentquo_solvable': True, 'autcentquo_supersolvable': True, 'autcentquo_tex': 'C_2', 'cc_stats': [[1, 1, 1], [2, 1, 7], [2, 2, 8], [4, 2, 4], [5, 1, 4], [10, 1, 28], [10, 2, 32], [20, 2, 16]], 'center_label': '40.14', 'center_order': 40, 'central_product': True, 'central_quotient': '4.2', 'commutator_count': 1, 'commutator_label': '2.1', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '2.1', '2.1', '2.1', '5.1'], 'composition_length': 6, 'conjugacy_classes_known': True, 'counter': 229, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [['2.1', 2], ['5.1', 1], ['8.3', 1]], 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 7], [2, 2, 1, 8], [4, 2, 1, 4], [5, 1, 4, 1], [10, 1, 4, 7], [10, 2, 4, 8], [20, 2, 4, 4]], 'element_repr_type': 'PC', 'elementary': 2, 'eulerian_function': 16380, 'exponent': 20, 'exponents_of_order': [5, 1], 'factors_of_aut_order': [2, 3], 'factors_of_order': [2, 5], 'faithful_reps': [], 'familial': False, 'frattini_label': '2.1', 'frattini_quotient': '80.52', 'hash': 229, 'hyperelementary': 2, 'id': 29449, 'inner_abelian': True, 'inner_cyclic': False, 'inner_exponent': 2, 'inner_gen_orders': [1, 1, 2, 2], 'inner_gens': [[1, 2, 4, 8], [1, 2, 4, 8], [1, 2, 4, 88], [1, 2, 84, 8]], 'inner_hash': 2, 'inner_nilpotent': True, 'inner_order': 4, 'inner_split': False, 'inner_tex': 'C_2^2', 'inner_used': [3, 4], 'irrC_degree': -1, 'irrQ_degree': -1, 'irrQ_dim': -1, 'irrR_degree': -1, 'irrep_stats': [[1, 80], [2, 20]], 'label': '160.229', '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': 'C20:C2^3', 'ngens': 6, 'nilpotency_class': 2, 'nilpotent': True, 'normal_counts': [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': 10, 'number_characteristic_subgroups': 10, 'number_conjugacy_classes': 100, 'number_divisions': 40, 'number_normal_subgroups': 156, 'number_subgroup_autclasses': 36, 'number_subgroup_classes': 236, 'number_subgroups': 316, 'old_label': None, 'order': 160, 'order_factorization_type': 51, 'order_stats': [[1, 1], [2, 23], [4, 8], [5, 4], [10, 92], [20, 32]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': True, 'outer_exponent': 12, 'outer_gen_orders': [4, 4, 6, 2], 'outer_gen_pows': [8, 0, 8, 0], 'outer_gens': [[2, 81, 127, 25], [82, 1, 126, 104], [83, 81, 127, 155], [82, 81, 7, 72]], 'outer_group': None, 'outer_hash': 1803395619856610067, 'outer_nilpotent': False, 'outer_order': 3072, 'outer_permdeg': 16, 'outer_perms': [4459987889422, 5672899790662, 2897125434120, 8221627008120], 'outer_solvable': True, 'outer_supersolvable': False, 'outer_tex': 'C_4\\times C_2^6.D_6', 'pc_rank': 4, 'perfect': False, 'permutation_degree': 13, 'pgroup': 0, 'primary_abelian_invariants': [2, 2, 2, 2, 5], 'quasisimple': False, 'rank': 4, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 16], [2, 4], [4, 16], [8, 4]], 'representations': {'PC': {'code': 770366876254211, 'gens': [1, 2, 3, 4], 'pres': [6, -2, -2, -2, -2, -2, -5, 543, 69, 88]}, 'GLZN': {'d': 2, 'p': 20, 'gens': [156209, 8201, 72009, 76219, 8081, 92301]}, 'Perm': {'d': 13, 'gens': [83503440, 482630400, 1037927520, 131760, 96, 1037836800]}}, 'schur_multiplier': [2, 2, 2, 2, 2, 2], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 2, 2, 10], 'solvability_type': 4, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'C_{20}:C_2^3', 'transitive_degree': 80, 'wreath_data': None, 'wreath_product': False}