Query:
/api/gps_groups/?_offset=0
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'abelian_quotient': '64.267', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 0, 'aut_exponent': 78120, 'aut_gen_orders': [2, 6], 'aut_gens': [[1, 2, 4, 8, 16, 32], [13, 2, 4, 8, 16, 32], [44, 57, 28, 55, 38, 54]], 'aut_group': '20158709760.a', 'aut_hash': 1127810123506825908, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 20158709760, 'aut_permdeg': 63, 'aut_perms': [1088780861340731732174280893943159511512640016119869733192292622602376850177766021539680, 193386930810790965654717163452553945898231780614988004231894671695879290786822421539277], 'aut_phi_ratio': 629959680.0, 'aut_solvable': False, 'aut_stats': [[1, 1, 1, 1], [2, 1, 63, 1]], 'aut_supersolvable': False, 'aut_tex': '\\GL(6,2)', 'autcent_abelian': False, 'autcent_cyclic': False, 'autcent_exponent': 78120, 'autcent_group': '20158709760.a', 'autcent_hash': 1127810123506825908, 'autcent_nilpotent': False, 'autcent_order': 20158709760, 'autcent_solvable': False, 'autcent_split': True, 'autcent_supersolvable': False, 'autcent_tex': '\\GL(6,2)', 'autcentquo_abelian': True, 'autcentquo_cyclic': True, 'autcentquo_exponent': 1, 'autcentquo_group': '1.1', 'autcentquo_hash': 1, 'autcentquo_nilpotent': True, 'autcentquo_order': 1, 'autcentquo_solvable': True, 'autcentquo_supersolvable': True, 'autcentquo_tex': 'C_1', 'cc_stats': [[1, 1, 1], [2, 1, 63]], 'center_label': '64.267', 'center_order': 64, 'central_product': True, 'central_quotient': '1.1', 'commutator_count': 0, 'commutator_label': '1.1', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '2.1', '2.1', '2.1', '2.1'], 'composition_length': 6, 'conjugacy_classes_known': True, 'counter': 267, 'cyclic': False, 'derived_length': 1, 'dihedral': False, 'direct_factorization': [['2.1', 6]], 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 63]], 'element_repr_type': 'PC', 'elementary': 2, 'eulerian_function': 1, 'exponent': 2, 'exponents_of_order': [6], 'factors_of_aut_order': [2, 3, 5, 7, 31], 'factors_of_order': [2], 'faithful_reps': [], 'familial': False, 'frattini_label': '1.1', 'frattini_quotient': '64.267', 'hash': 267, 'hyperelementary': 2, 'id': 132076, 'inner_abelian': True, 'inner_cyclic': True, 'inner_exponent': 1, 'inner_gen_orders': [1, 1, 1, 1, 1, 1], 'inner_gens': [[1, 2, 4, 8, 16, 32], [1, 2, 4, 8, 16, 32], [1, 2, 4, 8, 16, 32], [1, 2, 4, 8, 16, 32], [1, 2, 4, 8, 16, 32], [1, 2, 4, 8, 16, 32]], 'inner_hash': 1, 'inner_nilpotent': True, 'inner_order': 1, 'inner_split': True, 'inner_tex': 'C_1', 'inner_used': [], 'irrC_degree': -1, 'irrQ_degree': -1, 'irrQ_dim': -1, 'irrR_degree': -1, 'irrep_stats': [[1, 64]], 'label': '64.267', 'linC_count': None, 'linC_degree': 6, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': 6, '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': 'C2^6', 'ngens': 6, 'nilpotency_class': 1, 'nilpotent': True, 'normal_counts': [0, 0, 0, 0, 0, 0, 0], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 2, 'number_characteristic_subgroups': 2, 'number_conjugacy_classes': 64, 'number_divisions': 64, 'number_normal_subgroups': 2825, 'number_subgroup_autclasses': 7, 'number_subgroup_classes': 2825, 'number_subgroups': 2825, 'old_label': None, 'order': 64, 'order_factorization_type': 3, 'order_stats': [[1, 1], [2, 63]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': True, 'outer_exponent': 78120, 'outer_gen_orders': [2, 6], 'outer_gen_pows': [0, 0], 'outer_gens': [[13, 2, 4, 8, 16, 32], [44, 57, 28, 55, 38, 54]], 'outer_group': '20158709760.a', 'outer_hash': 1127810123506825908, 'outer_nilpotent': False, 'outer_order': 20158709760, 'outer_permdeg': 63, 'outer_perms': [1088780861340731732174280893943159511512640016119869733192292622602376850177766021539680, 193386930810790965654717163452553945898231780614988004231894671695879290786822421539277], 'outer_solvable': False, 'outer_supersolvable': False, 'outer_tex': '\\GL(6,2)', 'pc_rank': 6, 'perfect': False, 'permutation_degree': 12, 'pgroup': 2, 'primary_abelian_invariants': [2, 2, 2, 2, 2, 2], 'quasisimple': False, 'rank': 6, 'rational': True, 'rational_characters_known': True, 'ratrep_stats': [[1, 64]], 'representations': {'PC': {'code': 0, 'gens': [1, 2, 3, 4, 5, 6], 'pres': [6, -2, 2, 2, 2, 2, 2]}, 'GLZ': {'b': 3, 'd': 6, 'gens': [125101750005088214, 125101750005092586, 25038659807093174, 125101729084386182, 24992906222183252, 125101729074820244]}, 'GLFp': {'d': 5, 'p': 2, 'gens': [5226561, 7292993, 5128257, 20225089, 19896385, 6210625]}, 'Perm': {'d': 12, 'gens': [39916800, 362880, 5040, 120, 6, 1]}}, 'schur_multiplier': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 2, 2, 2, 2, 2], 'solvability_type': 2, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'C_2^6', 'transitive_degree': 64, 'wreath_data': None, 'wreath_product': False}