Query:
/api/gps_groups/?_offset=0
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '8.5', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 3, 'aut_exponent': 12, 'aut_gen_orders': [2, 2, 2, 2, 2, 2, 2, 3, 3], 'aut_gens': [[1, 2, 12], [78, 25, 40], [73, 2, 84], [73, 2, 60], [109, 38, 84], [73, 2, 12], [73, 74, 12], [73, 82, 60], [5, 50, 12], [1, 50, 12]], 'aut_group': '1152.138373', 'aut_hash': 2700593171953895555, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 1152, 'aut_permdeg': 14, 'aut_perms': [6267319700, 5329, 7620480, 722, 107, 21821, 87091200, 13499136000, 1005540480], 'aut_phi_ratio': 24.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 6, 4, 1], [2, 9, 2, 1], [3, 2, 2, 1], [3, 4, 1, 1], [4, 2, 1, 1], [4, 18, 1, 1], [6, 2, 2, 1], [6, 4, 1, 1], [6, 12, 4, 1], [12, 4, 2, 2]], 'aut_supersolvable': False, 'aut_tex': 'D_6^2:C_2^3', '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': True, 'autcent_supersolvable': True, 'autcent_tex': 'C_2^3', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 12, 'autcentquo_group': '144.186', 'autcentquo_hash': 186, 'autcentquo_nilpotent': False, 'autcentquo_order': 144, 'autcentquo_solvable': True, 'autcentquo_supersolvable': False, 'autcentquo_tex': 'S_3^2:C_2^2', 'cc_stats': [[1, 1, 1], [2, 1, 1], [2, 6, 4], [2, 9, 2], [3, 2, 2], [3, 4, 1], [4, 2, 1], [4, 18, 1], [6, 2, 2], [6, 4, 1], [6, 12, 4], [12, 4, 4]], 'center_label': '2.1', 'center_order': 2, 'central_product': False, 'central_quotient': '72.46', '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': 145, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [], 'direct_product': False, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 6, 1, 4], [2, 9, 1, 2], [3, 2, 1, 2], [3, 4, 1, 1], [4, 2, 1, 1], [4, 18, 1, 1], [6, 2, 1, 2], [6, 4, 1, 1], [6, 12, 1, 4], [12, 4, 1, 2], [12, 4, 2, 1]], 'element_repr_type': 'PC', 'elementary': 1, 'eulerian_function': 672, 'exponent': 12, 'exponents_of_order': [4, 2], 'factors_of_aut_order': [2, 3], 'factors_of_order': [2, 3], 'faithful_reps': [[4, 0, 2]], 'familial': False, 'frattini_label': '2.1', 'frattini_quotient': '72.46', 'hash': 145, 'hyperelementary': 1, 'id': 139144, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 6, 'inner_gen_orders': [2, 6, 6], 'inner_gens': [[1, 10, 84], [5, 2, 132], [73, 26, 12]], 'inner_hash': 46, 'inner_nilpotent': False, 'inner_order': 72, 'inner_split': False, 'inner_tex': 'S_3\\times D_6', 'inner_used': [1, 2, 3], 'irrC_degree': 4, 'irrQ_degree': 8, 'irrQ_dim': 8, 'irrR_degree': 8, 'irrep_stats': [[1, 8], [2, 10], [4, 6]], 'label': '144.145', 'linC_count': 2, 'linC_degree': 4, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': 6, 'linQ_degree_count': 44, 'linQ_dim': 6, 'linQ_dim_count': 44, 'linR_count': 44, 'linR_degree': 6, 'maximal_subgroups_known': True, 'metabelian': True, 'metacyclic': False, 'monomial': True, 'name': 'C12:D6', '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': 13, 'number_characteristic_subgroups': 10, 'number_conjugacy_classes': 24, 'number_divisions': 23, 'number_normal_subgroups': 34, 'number_subgroup_autclasses': 52, 'number_subgroup_classes': 116, 'number_subgroups': 448, 'old_label': None, 'order': 144, 'order_factorization_type': 32, 'order_stats': [[1, 1], [2, 43], [3, 8], [4, 20], [6, 56], [12, 16]], 'outer_abelian': True, 'outer_cyclic': False, 'outer_equivalence': False, 'outer_exponent': 2, 'outer_gen_orders': [2, 2, 2, 2], 'outer_gen_pows': [0, 36, 36, 0], 'outer_gens': [[73, 2, 60], [37, 38, 60], [42, 133, 112], [1, 10, 12]], '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': 3, 'perfect': False, 'permutation_degree': 10, 'pgroup': 0, 'primary_abelian_invariants': [2, 2, 2], 'quasisimple': False, 'rank': 3, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 8], [2, 10], [4, 4], [8, 1]], 'representations': {'PC': {'code': 12582705923932330868489865, 'gens': [1, 2, 4], 'pres': [6, -2, -2, -3, -2, -2, -3, 121, 31, 146, 2019, 1593, 69, 1810, 88, 1739]}, 'GLZ': {'b': 3, 'd': 6, 'gens': [125101743041088268, 91655861982882810, 25038648567632164]}, 'GLFp': {'d': 4, 'p': 3, 'gens': [42948719, 5904789, 29883493, 14659948, 40902480, 28816400]}, 'Perm': {'d': 10, 'gens': [374407, 379576, 10, 23, 856920, 1210440]}}, 'schur_multiplier': [2, 2, 2], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 2, 2], 'solvability_type': 7, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'C_{12}:D_6', 'transitive_degree': 24, 'wreath_data': None, 'wreath_product': False}