Query:
/api/gps_groups/?_offset=0
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '48.44', '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, 12], 'aut_gens': [[1, 2, 12], [145, 2, 12], [1, 146, 228], [1, 10, 12], [1, 2, 228], [1, 2, 204], [97, 2, 234]], 'aut_group': '384.20133', 'aut_hash': 20133, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 384, 'aut_permdeg': 16, 'aut_perms': [355459355581, 13557825559507, 3875967480, 13208881883096, 704209373433, 8432933675968], 'aut_phi_ratio': 4.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 2, 1, 1], [2, 3, 2, 1], [2, 6, 1, 1], [3, 1, 2, 1], [3, 2, 1, 1], [3, 2, 2, 1], [4, 1, 2, 1], [4, 2, 1, 1], [4, 3, 2, 1], [4, 6, 1, 1], [6, 1, 2, 1], [6, 2, 1, 1], [6, 2, 2, 2], [6, 3, 4, 1], [6, 4, 1, 1], [6, 4, 2, 1], [6, 6, 2, 1], [8, 2, 4, 1], [8, 6, 4, 1], [12, 1, 4, 1], [12, 2, 2, 2], [12, 2, 4, 1], [12, 3, 4, 1], [12, 4, 1, 1], [12, 4, 2, 1], [12, 6, 2, 1], [24, 2, 8, 1], [24, 4, 4, 1], [24, 4, 8, 1], [24, 6, 8, 1]], 'aut_supersolvable': True, 'aut_tex': 'C_{12}:C_2^5', 'autcent_abelian': True, 'autcent_cyclic': False, 'autcent_exponent': 2, 'autcent_group': '32.51', 'autcent_hash': 51, 'autcent_nilpotent': True, 'autcent_order': 32, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': True, 'autcent_tex': 'C_2^5', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 6, 'autcentquo_group': '12.4', 'autcentquo_hash': 4, 'autcentquo_nilpotent': False, 'autcentquo_order': 12, 'autcentquo_solvable': True, 'autcentquo_supersolvable': True, 'autcentquo_tex': 'D_6', 'cc_stats': [[1, 1, 1], [2, 1, 1], [2, 2, 1], [2, 3, 2], [2, 6, 1], [3, 1, 2], [3, 2, 3], [4, 1, 2], [4, 2, 1], [4, 3, 2], [4, 6, 1], [6, 1, 2], [6, 2, 5], [6, 3, 4], [6, 4, 3], [6, 6, 2], [8, 2, 4], [8, 6, 4], [12, 1, 4], [12, 2, 8], [12, 3, 4], [12, 4, 3], [12, 6, 2], [24, 2, 8], [24, 4, 12], [24, 6, 8]], 'center_label': '12.2', 'center_order': 12, 'central_product': True, 'central_quotient': '24.14', 'commutator_count': 1, 'commutator_label': '6.2', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '2.1', '2.1', '2.1', '3.1', '3.1'], 'composition_length': 7, 'conjugacy_classes_known': True, 'counter': 677, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [['16.6', 1], ['3.1', 1], ['6.1', 1]], 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 2, 1, 1], [2, 3, 1, 2], [2, 6, 1, 1], [3, 1, 2, 1], [3, 2, 1, 1], [3, 2, 2, 1], [4, 1, 2, 1], [4, 2, 1, 1], [4, 3, 2, 1], [4, 6, 1, 1], [6, 1, 2, 1], [6, 2, 1, 1], [6, 2, 2, 2], [6, 3, 2, 2], [6, 4, 1, 1], [6, 4, 2, 1], [6, 6, 2, 1], [8, 2, 2, 2], [8, 6, 2, 2], [12, 1, 4, 1], [12, 2, 2, 2], [12, 2, 4, 1], [12, 3, 4, 1], [12, 4, 1, 1], [12, 4, 2, 1], [12, 6, 2, 1], [24, 2, 4, 2], [24, 4, 2, 2], [24, 4, 4, 2], [24, 6, 4, 2]], 'element_repr_type': 'PC', 'elementary': 1, 'eulerian_function': 17472, 'exponent': 24, 'exponents_of_order': [5, 2], 'factors_of_aut_order': [2, 3], 'factors_of_order': [2, 3], 'faithful_reps': [[4, 0, 4]], 'familial': False, 'frattini_label': '4.1', 'frattini_quotient': '72.48', 'hash': 677, 'hyperelementary': 1, 'id': 147104, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 6, 'inner_gen_orders': [2, 2, 6], 'inner_gens': [[1, 2, 204], [1, 2, 156], [97, 146, 12]], 'inner_hash': 14, 'inner_nilpotent': False, 'inner_order': 24, 'inner_split': True, 'inner_tex': 'C_2\\times D_6', 'inner_used': [1, 2, 3], 'irrC_degree': 4, 'irrQ_degree': 16, 'irrQ_dim': 16, 'irrR_degree': 8, 'irrep_stats': [[1, 48], [2, 36], [4, 6]], 'label': '288.677', 'linC_count': 260, 'linC_degree': 4, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': 8, 'linQ_degree_count': 72, 'linQ_dim': 8, 'linQ_dim_count': 72, 'linR_count': 16, 'linR_degree': 6, 'maximal_subgroups_known': True, 'metabelian': True, 'metacyclic': False, 'monomial': True, 'name': 'C24:D6', 'ngens': 7, 'nilpotency_class': -1, 'nilpotent': False, 'normal_counts': [0, 0, 0, 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': 34, 'number_characteristic_subgroups': 54, 'number_conjugacy_classes': 90, 'number_divisions': 42, 'number_normal_subgroups': 78, 'number_subgroup_autclasses': 121, 'number_subgroup_classes': 146, 'number_subgroups': 282, 'old_label': None, 'order': 288, 'order_factorization_type': 32, 'order_stats': [[1, 1], [2, 15], [3, 8], [4, 16], [6, 48], [8, 32], [12, 56], [24, 112]], 'outer_abelian': True, 'outer_cyclic': False, 'outer_equivalence': False, 'outer_exponent': 2, 'outer_gen_orders': [2, 2, 2, 2], 'outer_gen_pows': [0, 0, 0, 0], 'outer_gens': [[145, 2, 12], [1, 2, 228], [1, 10, 12], [1, 2, 162]], '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': 14, 'pgroup': 0, 'primary_abelian_invariants': [2, 2, 4, 3], 'quasisimple': False, 'rank': 3, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 8], [2, 16], [4, 12], [8, 5], [16, 1]], 'representations': {'PC': {'code': 3255361286715695066217878887697, 'gens': [1, 2, 4], 'pres': [7, -2, -2, -3, -2, -2, -2, -3, 36, 5715, 2194, 80, 4204, 102, 10085, 124, 9414]}, 'GLZN': {'d': 2, 'p': 26, 'gens': [439425, 17915, 167332, 158193, 17601, 87885, 5330]}, 'Perm': {'d': 14, 'gens': [6314117329, 265, 12569, 13971242880, 18523, 5329, 20122058880]}}, 'schur_multiplier': [2, 2], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 2, 12], 'solvability_type': 7, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'C_{24}:D_6', 'transitive_degree': 48, 'wreath_data': None, 'wreath_product': False}