Query:
/api/gps_groups/?_offset=0
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '16.10', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 2, 'aut_exponent': 8, 'aut_gen_orders': [4, 2, 2, 2, 2, 2, 2, 2], 'aut_gens': [[1, 2, 8, 32], [129, 66, 8, 160], [1, 38, 8, 112], [1, 6, 8, 176], [17, 2, 8, 160], [129, 2, 136, 32], [221, 2, 24, 96], [17, 18, 8, 160], [225, 6, 200, 224]], 'aut_group': '2048.cqe', 'aut_hash': 2830433250992464938, 'aut_nilpotency_class': 3, 'aut_nilpotent': True, 'aut_order': 2048, 'aut_permdeg': 64, 'aut_perms': [66434653357405825569984790299288256882956125542647105918728954916245389417076782727486945, 28198130101031479177852037699118860001362420317293771346487044010745633153494950903491967, 12085501816458604874717252277122360170150732216216122680535516864743091364172935737486431, 8256675919733642339244907938719497251160535071132233884915948529217056982716362754607, 138683118545691386856692307163084893652303514861220024902854426624871296416748806, 25801829831562258373273116953479480920210331882787345934249607614991700054745838141439, 32233509433775637277878005323219174011453409510729195026265450463301202043361967611228840, 12088602721627692599394558747151256549399361967256249970424295579631304766468072792361457], 'aut_phi_ratio': 16.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 2, 1, 1], [2, 4, 1, 1], [2, 16, 2, 1], [4, 2, 1, 2], [4, 4, 1, 1], [4, 4, 2, 2], [4, 16, 2, 2], [8, 4, 2, 1], [8, 8, 1, 3], [8, 16, 2, 1], [16, 16, 4, 1]], 'aut_supersolvable': True, 'aut_tex': 'C_4^2.(C_2\\times D_4^2)', 'autcent_abelian': True, 'autcent_cyclic': False, 'autcent_exponent': 2, 'autcent_group': '8.5', 'autcent_hash': 5, 'autcent_nilpotent': True, 'autcent_order': 8, 'autcent_solvable': True, 'autcent_split': False, 'autcent_supersolvable': True, 'autcent_tex': 'C_2^3', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 4, 'autcentquo_group': '256.27633', 'autcentquo_hash': 27633, 'autcentquo_nilpotent': True, 'autcentquo_order': 256, 'autcentquo_solvable': True, 'autcentquo_supersolvable': True, 'autcentquo_tex': 'C_2^5:D_4', 'cc_stats': [[1, 1, 1], [2, 1, 1], [2, 2, 1], [2, 4, 1], [2, 16, 2], [4, 2, 2], [4, 4, 5], [4, 16, 4], [8, 4, 2], [8, 8, 3], [8, 16, 2], [16, 16, 4]], 'center_label': '2.1', 'center_order': 2, 'central_product': False, 'central_quotient': '128.246', 'commutator_count': 1, 'commutator_label': '16.5', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '2.1'], 'composition_length': 8, 'conjugacy_classes_known': True, 'counter': 4825, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [], 'direct_product': False, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 2, 1, 1], [2, 4, 1, 1], [2, 16, 1, 2], [4, 2, 1, 2], [4, 4, 1, 3], [4, 4, 2, 1], [4, 16, 1, 2], [4, 16, 2, 1], [8, 4, 2, 1], [8, 8, 1, 3], [8, 16, 2, 1], [16, 16, 2, 2]], 'element_repr_type': 'PC', 'elementary': 2, 'eulerian_function': 2688, 'exponent': 16, 'exponents_of_order': [8], 'factors_of_aut_order': [2], 'factors_of_order': [2], 'faithful_reps': [[8, 1, 2]], 'familial': False, 'frattini_label': '32.37', 'frattini_quotient': '8.5', 'hash': 4825, 'hyperelementary': 2, 'id': 145516, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 8, 'inner_gen_orders': [2, 4, 4, 4], 'inner_gens': [[1, 50, 8, 224], [241, 2, 200, 112], [1, 66, 8, 160], [65, 210, 136, 32]], 'inner_hash': 246, 'inner_nilpotent': True, 'inner_order': 128, 'inner_split': False, 'inner_tex': 'C_4^2.D_4', 'inner_used': [1, 2, 3], 'irrC_degree': 8, 'irrQ_degree': 8, 'irrQ_dim': 8, 'irrR_degree': 8, 'irrep_stats': [[1, 16], [2, 4], [4, 6], [8, 2]], 'label': '256.4825', 'linC_count': 2, 'linC_degree': 8, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': 8, 'linQ_degree_count': 2, 'linQ_dim': 8, 'linQ_dim_count': 2, 'linR_count': 2, 'linR_degree': 8, 'maximal_subgroups_known': True, 'metabelian': True, 'metacyclic': False, 'monomial': True, 'name': '(C4*C8).D4', 'ngens': 3, 'nilpotency_class': 4, 'nilpotent': True, 'normal_counts': [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': 31, 'number_conjugacy_classes': 28, 'number_divisions': 22, 'number_normal_subgroups': 45, 'number_subgroup_autclasses': 118, 'number_subgroup_classes': 162, 'number_subgroups': 575, 'old_label': None, 'order': 256, 'order_factorization_type': 7, 'order_stats': [[1, 1], [2, 39], [4, 88], [8, 64], [16, 64]], 'outer_abelian': True, 'outer_cyclic': False, 'outer_equivalence': False, 'outer_exponent': 2, 'outer_gen_orders': [2, 2, 2, 2], 'outer_gen_pows': [0, 0, 208, 0], 'outer_gens': [[221, 2, 24, 96], [1, 6, 8, 176], [81, 2, 8, 32], [1, 2, 136, 32]], 'outer_group': '16.14', 'outer_hash': 14, 'outer_nilpotent': True, 'outer_order': 16, 'outer_permdeg': 8, 'outer_perms': [5040, 120, 6, 1], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'C_2^4', 'pc_rank': 4, 'perfect': False, 'permutation_degree': 16, 'pgroup': 2, 'primary_abelian_invariants': [2, 2, 4], 'quasisimple': False, 'rank': 3, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 8], [2, 8], [4, 2], [8, 4]], 'representations': {'PC': {'code': 699631595761327700921748578151930748443114, 'gens': [1, 2, 4, 6], 'pres': [8, 2, 2, 2, 2, 2, 2, 2, 2, 801, 41, 482, 3211, 91, 2892, 10757, 2701, 1941, 989, 141, 10758, 5390, 166]}, 'Perm': {'d': 16, 'gens': [12526722432000, 6314147152, 1313901400462, 8402167089238, 1313901393960, 4097506710982, 4097506706057, 1313941673647]}}, 'schur_multiplier': [2, 4], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 2, 4], 'solvability_type': 4, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': '(C_4\\times C_8).D_4', 'transitive_degree': 16, 'wreath_data': None, 'wreath_product': False}