Query:
/api/gps_groups/?_offset=0
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '12.5', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 3, 'aut_exponent': 24, 'aut_gen_orders': [6, 12, 6, 12, 12], 'aut_gens': [[519644162, 6315200791], [25591028454, 20129397582], [38843038134, 14968881124], [958406402, 14968881224], [26074097913, 20605415635], [2878772480, 43719823264]], 'aut_group': None, 'aut_hash': 7346428038700013389, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 27648, 'aut_permdeg': 62, 'aut_perms': [10403586939766169087460230128387370497340649415099787291829723417784862377204645424174, 6834235698248674086372444488817686141768206981008478079701321868424008161683237272372, 1298154122944038686970654909136055180198811586778412497587858940624626653882589318558, 24414906713066331731303251987210526043448668026970805970167090635386420275340320720879, 10158056671300220769209768244150451545669796705746277718818654349922496726043094345461], 'aut_phi_ratio': 24.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 3, 1, 1], [2, 6, 1, 1], [2, 6, 2, 1], [2, 9, 1, 1], [2, 18, 1, 1], [2, 18, 4, 1], [2, 24, 1, 1], [2, 27, 1, 1], [2, 54, 2, 1], [3, 4, 1, 2], [3, 16, 2, 1], [3, 64, 2, 2], [4, 72, 1, 2], [4, 216, 1, 1], [6, 12, 1, 3], [6, 12, 4, 1], [6, 24, 2, 1], [6, 36, 1, 1], [6, 36, 4, 1], [6, 48, 1, 1], [6, 96, 2, 2], [6, 144, 2, 1], [6, 192, 2, 2], [12, 144, 1, 1], [12, 288, 2, 1]], 'aut_supersolvable': False, 'aut_tex': 'C_6^2.(C_2^4\\times A_4).C_2^2', 'autcent_abelian': True, 'autcent_cyclic': True, 'autcent_exponent': 1, 'autcent_group': '1.1', 'autcent_hash': 1, 'autcent_nilpotent': True, 'autcent_order': 1, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': True, 'autcent_tex': 'C_1', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 24, 'autcentquo_group': None, 'autcentquo_hash': 7346428038700013389, 'autcentquo_nilpotent': False, 'autcentquo_order': 27648, 'autcentquo_solvable': True, 'autcentquo_supersolvable': False, 'autcentquo_tex': 'C_6^2.(C_2^4\\times A_4).C_2^2', 'cc_stats': [[1, 1, 1], [2, 3, 1], [2, 6, 3], [2, 9, 1], [2, 18, 5], [2, 24, 1], [2, 27, 1], [2, 54, 2], [3, 4, 2], [3, 16, 2], [3, 64, 4], [4, 72, 2], [4, 216, 1], [6, 12, 7], [6, 24, 2], [6, 36, 5], [6, 48, 1], [6, 96, 4], [6, 144, 2], [6, 192, 4], [12, 144, 1], [12, 288, 2]], 'center_label': '1.1', 'center_order': 1, 'central_product': False, 'central_quotient': '3456.dg', 'commutator_count': 1, 'commutator_label': '288.1044', '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', '3.1', '3.1', '3.1'], 'composition_length': 10, 'conjugacy_classes_known': True, 'counter': 85, 'cyclic': False, 'derived_length': 3, 'dihedral': False, 'direct_factorization': [], 'direct_product': False, 'div_stats': [[1, 1, 1, 1], [2, 3, 1, 1], [2, 6, 1, 3], [2, 9, 1, 1], [2, 18, 1, 5], [2, 24, 1, 1], [2, 27, 1, 1], [2, 54, 1, 2], [3, 4, 1, 2], [3, 16, 2, 1], [3, 64, 2, 2], [4, 72, 1, 2], [4, 216, 1, 1], [6, 12, 1, 7], [6, 24, 1, 2], [6, 36, 1, 5], [6, 48, 1, 1], [6, 96, 2, 2], [6, 144, 2, 1], [6, 192, 2, 2], [12, 144, 1, 1], [12, 288, 2, 1]], 'element_repr_type': 'Perm', 'elementary': 1, 'eulerian_function': 96, 'exponent': 12, 'exponents_of_order': [7, 3], 'factors_of_aut_order': [2, 3], 'factors_of_order': [2, 3], 'faithful_reps': [[12, 1, 8], [24, 1, 2]], 'familial': False, 'frattini_label': '4.2', 'frattini_quotient': '864.4671', 'hash': 5688590992281673169, 'hyperelementary': 1, 'id': 440885, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 12, 'inner_gen_orders': [6, 12], 'inner_gens': [[519644162, 13902300880], [25591029033, 6315200791]], 'inner_hash': 5688590992281673169, 'inner_nilpotent': False, 'inner_order': 3456, 'inner_split': True, 'inner_tex': 'D_6^2:(C_2\\times A_4)', 'inner_used': [1, 2], 'irrC_degree': 12, 'irrQ_degree': 12, 'irrQ_dim': 12, 'irrR_degree': 12, 'irrep_stats': [[1, 12], [2, 3], [3, 4], [4, 12], [6, 9], [12, 12], [24, 2]], 'label': '3456.dg', 'linC_count': None, 'linC_degree': None, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': None, 'linQ_degree_count': None, 'linQ_dim': None, 'linQ_dim_count': None, 'linR_count': None, 'linR_degree': None, 'maximal_subgroups_known': True, 'metabelian': False, 'metacyclic': False, 'monomial': None, 'name': 'D6^2:(C2*A4)', 'ngens': 2, '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, 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': 33, 'number_characteristic_subgroups': 25, 'number_conjugacy_classes': 54, 'number_divisions': 45, 'number_normal_subgroups': 25, 'number_subgroup_autclasses': 875, 'number_subgroup_classes': 2440, 'number_subgroups': 51908, 'old_label': None, 'order': 3456, 'order_factorization_type': 33, 'order_stats': [[1, 1], [2, 279], [3, 296], [4, 360], [6, 1800], [12, 720]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': True, 'outer_exponent': 4, 'outer_gen_orders': [2, 4], 'outer_gen_pows': [0, 0], 'outer_gens': [[32667264002, 6315200791], [38843038082, 6357662791]], 'outer_group': '8.3', 'outer_hash': 3, 'outer_nilpotent': True, 'outer_order': 8, 'outer_permdeg': 4, 'outer_perms': [16, 17], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'D_4', 'pc_rank': 6, 'perfect': False, 'permutation_degree': 14, 'pgroup': 0, 'primary_abelian_invariants': [2, 2, 3], 'quasisimple': False, 'rank': 2, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 4], [2, 5], [3, 4], [4, 5], [6, 9], [8, 4], [12, 12], [24, 2]], 'representations': {'PC': {'code': '155575591787978988992669915542219111094272878998500106727746193755719398824173270390467920278559187555601', 'gens': [1, 3, 5, 7, 8, 9], 'pres': [10, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 20, 84062, 4422, 82, 2403, 92404, 45614, 23024, 534, 144, 5765, 12025, 515, 20166, 15136, 34567, 5777, 218168, 29178, 48988, 21638, 268, 124809, 39229, 19239]}, 'Perm': {'d': 14, 'gens': [519644162, 6315200791]}}, 'schur_multiplier': [2, 2, 2], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 6], 'solvability_type': 17, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': False, 'sylow_subgroups_known': True, 'tex_name': 'D_6^2:(C_2\\times A_4)', 'transitive_degree': 24, 'wreath_data': None, 'wreath_product': False}