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': 3, 'aut_exponent': 24, 'aut_gen_orders': [2, 8, 6, 12], 'aut_gens': [[1, 4, 12], [39, 104, 84], [37, 100, 44], [9, 4, 84], [61, 4, 12]], 'aut_group': '1152.119999', 'aut_hash': 8263206021346953725, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 1152, 'aut_permdeg': 13, 'aut_perms': [131362696, 248619016, 1540198921, 3593763382], 'aut_phi_ratio': 24.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 9, 1, 2], [3, 4, 2, 1], [4, 2, 1, 1], [4, 18, 1, 1], [4, 18, 4, 1], [6, 4, 2, 1], [12, 4, 4, 1]], 'aut_supersolvable': False, 'aut_tex': 'D_4\\times F_9:C_2', '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': True, 'autcent_supersolvable': True, 'autcent_tex': 'C_2^2', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 24, 'autcentquo_group': '288.1027', 'autcentquo_hash': 1027, 'autcentquo_nilpotent': False, 'autcentquo_order': 288, 'autcentquo_solvable': True, 'autcentquo_supersolvable': False, 'autcentquo_tex': 'F_9:C_2^2', 'cc_stats': [[1, 1, 1], [2, 1, 1], [2, 9, 2], [3, 4, 2], [4, 2, 1], [4, 18, 5], [6, 4, 2], [12, 4, 4]], 'center_label': '2.1', 'center_order': 2, 'central_product': False, 'central_quotient': '72.45', 'commutator_count': 1, 'commutator_label': '18.5', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '2.1', '2.1', '3.1', '3.1'], 'composition_length': 6, 'conjugacy_classes_known': True, 'counter': 133, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [], 'direct_product': False, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 9, 1, 2], [3, 4, 1, 2], [4, 2, 1, 1], [4, 18, 1, 1], [4, 18, 2, 2], [6, 4, 1, 2], [12, 4, 2, 2]], 'element_repr_type': 'PC', 'elementary': 1, 'eulerian_function': 6, 'exponent': 12, 'exponents_of_order': [4, 2], 'factors_of_aut_order': [2, 3], 'factors_of_order': [2, 3], 'faithful_reps': [[4, 0, 4]], 'familial': False, 'frattini_label': '2.1', 'frattini_quotient': '72.45', 'hash': 133, 'hyperelementary': 1, 'id': 139133, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 12, 'inner_gen_orders': [4, 3, 6], 'inner_gens': [[1, 104, 92], [57, 4, 12], [77, 4, 12]], 'inner_hash': 45, 'inner_nilpotent': False, 'inner_order': 72, 'inner_split': False, 'inner_tex': 'C_2\\times C_3^2:C_4', 'inner_used': [1, 2, 3], 'irrC_degree': 4, 'irrQ_degree': 8, 'irrQ_dim': 8, 'irrR_degree': 8, 'irrep_stats': [[1, 8], [2, 2], [4, 8]], 'label': '144.133', 'linC_count': 4, 'linC_degree': 4, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': 6, 'linQ_degree_count': 8, 'linQ_dim': 6, 'linQ_dim_count': 4, 'linR_count': 4, 'linR_degree': 6, 'maximal_subgroups_known': True, 'metabelian': True, 'metacyclic': False, 'monomial': True, 'name': '(C3*C12):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': 10, 'number_characteristic_subgroups': 12, 'number_conjugacy_classes': 18, 'number_divisions': 14, 'number_normal_subgroups': 14, 'number_subgroup_autclasses': 30, 'number_subgroup_classes': 42, 'number_subgroups': 198, 'old_label': None, 'order': 144, 'order_factorization_type': 32, 'order_stats': [[1, 1], [2, 19], [3, 8], [4, 92], [6, 8], [12, 16]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': False, 'outer_exponent': 4, 'outer_gen_orders': [2, 2, 2, 2], 'outer_gen_pows': [2, 0, 36, 0], 'outer_gens': [[3, 96, 112], [3, 8, 20], [37, 4, 12], [1, 4, 84]], 'outer_group': '16.11', 'outer_hash': 11, 'outer_nilpotent': True, 'outer_order': 16, 'outer_permdeg': 6, 'outer_perms': [414, 7, 127, 126], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'C_2\\times D_4', 'pc_rank': 3, 'perfect': False, 'permutation_degree': 10, 'pgroup': 0, 'primary_abelian_invariants': [2, 4], 'quasisimple': False, 'rank': 2, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 4], [2, 4], [4, 4], [8, 2]], 'representations': {'PC': {'code': 260866056977905408425698784841, 'gens': [1, 3, 4], 'pres': [6, 2, 2, 3, 2, 2, 3, 12, 1874, 80, 2211, 729, 69, 844, 1810, 88, 2021, 1739]}, 'GLZ': {'b': 3, 'd': 6, 'gens': [25038648179142205, 91655865493582056]}, 'GLFp': {'d': 4, 'p': 3, 'gens': [37025239, 14659948, 28816400, 42015870, 24961659, 8883681]}, 'Perm': {'d': 10, 'gens': [373087, 13, 16680, 23, 823080, 126000]}}, 'schur_multiplier': [6], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 4], 'solvability_type': 8, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': False, 'sylow_subgroups_known': True, 'tex_name': '(C_3\\times C_{12}):C_4', 'transitive_degree': 24, 'wreath_data': None, 'wreath_product': False}