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': 2, 'aut_exponent': 12, 'aut_gen_orders': [2, 2, 2, 2, 2, 2, 2, 2, 3], 'aut_gens': [[1, 2, 4, 8], [99, 2, 100, 60], [1, 2, 4, 10], [5, 6, 4, 152], [97, 2, 4, 8], [1, 2, 4, 136], [1, 2, 4, 108], [5, 98, 4, 104], [1, 2, 4, 104], [65, 2, 4, 8]], 'aut_group': '768.1036279', 'aut_hash': 1036279, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 768, 'aut_permdeg': 13, 'aut_perms': [131760, 3049688880, 2131562160, 482721121, 482721126, 1037968560, 1520598960, 482721120, 30], 'aut_phi_ratio': 12.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 2, 1, 1], [2, 4, 1, 2], [2, 12, 2, 1], [3, 2, 1, 1], [4, 4, 1, 1], [4, 24, 1, 1], [4, 24, 2, 1], [6, 2, 1, 1], [6, 4, 1, 1], [6, 8, 1, 2], [8, 8, 2, 1], [12, 4, 2, 1], [24, 8, 4, 1]], 'aut_supersolvable': True, 'aut_tex': 'C_2\\wr C_2^2\\times D_6', 'autcent_abelian': True, 'autcent_cyclic': False, 'autcent_exponent': 2, 'autcent_group': '4.2', 'autcent_hash': 2, 'autcent_nilpotent': True, 'autcent_order': 4, 'autcent_solvable': True, 'autcent_split': False, 'autcent_supersolvable': True, 'autcent_tex': 'C_2^2', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 12, 'autcentquo_group': '192.1147', 'autcentquo_hash': 1147, 'autcentquo_nilpotent': False, 'autcentquo_order': 192, 'autcentquo_solvable': True, 'autcentquo_supersolvable': True, 'autcentquo_tex': 'C_2^4:D_6', 'cc_stats': [[1, 1, 1], [2, 1, 1], [2, 2, 1], [2, 4, 2], [2, 12, 2], [3, 2, 1], [4, 4, 1], [4, 24, 3], [6, 2, 1], [6, 4, 1], [6, 8, 2], [8, 8, 2], [12, 4, 2], [24, 8, 4]], 'center_label': '2.1', 'center_order': 2, 'central_product': False, 'central_quotient': '96.13', 'commutator_count': 1, 'commutator_label': '24.15', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '3.1'], 'composition_length': 7, 'conjugacy_classes_known': True, 'counter': 34, '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, 2], [2, 12, 1, 2], [3, 2, 1, 1], [4, 4, 1, 1], [4, 24, 1, 1], [4, 24, 2, 1], [6, 2, 1, 1], [6, 4, 1, 1], [6, 8, 1, 2], [8, 8, 2, 1], [12, 4, 2, 1], [24, 8, 4, 1]], 'element_repr_type': 'PC', 'elementary': 1, 'eulerian_function': 12, 'exponent': 24, 'exponents_of_order': [6, 1], 'factors_of_aut_order': [2, 3], 'factors_of_order': [2, 3], 'faithful_reps': [[8, 1, 1]], 'familial': False, 'frattini_label': '16.11', 'frattini_quotient': '12.4', 'hash': 34, 'hyperelementary': 2, 'id': 142395, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 12, 'inner_gen_orders': [2, 2, 2, 12], 'inner_gens': [[1, 2, 4, 46], [1, 2, 4, 108], [1, 2, 4, 104], [67, 6, 100, 8]], 'inner_hash': 13, 'inner_nilpotent': False, 'inner_order': 96, 'inner_split': True, 'inner_tex': 'C_2^2.D_{12}', 'inner_used': [1, 2, 3, 4], 'irrC_degree': 8, 'irrQ_degree': 8, 'irrQ_dim': 8, 'irrR_degree': 8, 'irrep_stats': [[1, 8], [2, 10], [4, 5], [8, 1]], 'label': '192.34', 'linC_count': 16, 'linC_degree': 6, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': 6, 'linQ_degree_count': 4, 'linQ_dim': 6, 'linQ_dim_count': 4, 'linR_count': 8, 'linR_degree': 6, 'maximal_subgroups_known': True, 'metabelian': True, 'metacyclic': False, 'monomial': True, 'name': 'C2^3.D12', 'ngens': 7, 'nilpotency_class': -1, 'nilpotent': False, 'normal_counts': [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': 17, 'number_characteristic_subgroups': 21, 'number_conjugacy_classes': 24, 'number_divisions': 18, 'number_normal_subgroups': 21, 'number_subgroup_autclasses': 82, 'number_subgroup_classes': 94, 'number_subgroups': 432, 'old_label': None, 'order': 192, 'order_factorization_type': 51, 'order_stats': [[1, 1], [2, 35], [3, 2], [4, 76], [6, 22], [8, 16], [12, 8], [24, 32]], 'outer_abelian': True, 'outer_cyclic': False, 'outer_equivalence': False, 'outer_exponent': 2, 'outer_gen_orders': [2, 2, 2], 'outer_gen_pows': [0, 0, 0], 'outer_gens': [[1, 102, 4, 152], [1, 2, 4, 110], [97, 2, 4, 8]], 'outer_group': '8.5', 'outer_hash': 5, 'outer_nilpotent': True, 'outer_order': 8, 'outer_permdeg': 6, 'outer_perms': [1, 6, 120], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'C_2^3', 'pc_rank': 4, 'perfect': False, 'permutation_degree': 11, 'pgroup': 0, 'primary_abelian_invariants': [2, 4], 'quasisimple': False, 'rank': 2, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 4], [2, 6], [4, 6], [8, 2]], 'representations': {'PC': {'code': 24497248741451407191428291861505, 'gens': [1, 2, 3, 4], 'pres': [7, 2, 2, 2, 2, 2, 2, 3, 1291, 1522, 745, 80, 2944, 1971, 102, 6725, 124, 6278]}, 'GLZ': {'b': 3, 'd': 6, 'gens': [108378801914890394, 125124605891209733]}, 'Perm': {'d': 11, 'gens': [3807481, 8443704, 12506424, 12541704, 85704, 3719544, 3]}}, 'schur_multiplier': [2, 2], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 4], 'solvability_type': 7, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'C_2^3.D_{12}', 'transitive_degree': 24, 'wreath_data': None, 'wreath_product': False}