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': [3, 6, 3, 6, 2, 2, 2, 4, 4], 'aut_gens': [[1, 6, 144, 432], [145, 438, 144, 432], [145, 642, 144, 864], [1, 582, 144, 432], [53, 582, 144, 432], [293, 726, 288, 864], [5, 6, 144, 432], [1, 102, 288, 864], [1121, 1266, 720, 576], [1193, 546, 576, 1008]], 'aut_group': '1728.47860', 'aut_hash': 47860, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 1728, 'aut_permdeg': 56, 'aut_perms': [5899746938309844084571946529470876729715781592974422756653187576812275942, 5986051588959757439694253050201929821213135597501901477203568449958513276, 128491637230925286720910843580901641886609335869812740213184144897383778, 52543316616065065026120338281545635435361601223254501901612369029105557978, 58181322873863424704257038376835348536012542132631264329205216181037444932, 51020812653431576053775365807339341222821228403663362687238144000000000000, 202052265270140321548489841122194987730586082949624562149601863997867065, 62442898036624301329923241890089317466128317309537582361388537473807622644, 52233106368122732672719022779518627311210840036133037698950802443866218250], 'aut_phi_ratio': 4.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 9, 1, 1], [2, 36, 1, 1], [3, 1, 2, 1], [3, 2, 1, 1], [3, 2, 2, 1], [3, 8, 1, 1], [3, 8, 2, 1], [3, 16, 1, 1], [3, 16, 2, 1], [4, 18, 1, 1], [4, 108, 1, 1], [6, 9, 2, 1], [6, 18, 1, 1], [6, 18, 2, 1], [6, 36, 2, 1], [6, 72, 1, 1], [6, 72, 2, 1], [8, 18, 1, 2], [12, 18, 2, 2], [12, 18, 4, 1], [12, 108, 2, 1], [24, 18, 2, 4], [24, 18, 4, 2]], 'aut_supersolvable': False, 'aut_tex': 'C_2\\times F_9:D_6', 'autcent_abelian': True, 'autcent_cyclic': True, 'autcent_exponent': 2, 'autcent_group': '2.1', 'autcent_hash': 1, 'autcent_nilpotent': True, 'autcent_order': 2, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': True, 'autcent_tex': 'C_2', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 24, 'autcentquo_group': '864.4662', 'autcentquo_hash': 4662, 'autcentquo_nilpotent': False, 'autcentquo_order': 864, 'autcentquo_solvable': True, 'autcentquo_supersolvable': False, 'autcentquo_tex': 'F_9:D_6', 'cc_stats': [[1, 1, 1], [2, 9, 1], [2, 36, 1], [3, 1, 2], [3, 2, 3], [3, 8, 3], [3, 16, 3], [4, 18, 1], [4, 108, 1], [6, 9, 2], [6, 18, 3], [6, 36, 2], [6, 72, 3], [8, 18, 2], [12, 18, 8], [12, 108, 2], [24, 18, 16]], 'center_label': '3.1', 'center_order': 3, 'central_product': True, 'central_quotient': '432.740', 'commutator_count': 1, 'commutator_label': '108.36', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '2.1', '2.1', '3.1', '3.1', '3.1', '3.1'], 'composition_length': 8, 'conjugacy_classes_known': True, 'counter': 3513, 'cyclic': False, 'derived_length': 3, 'dihedral': False, 'direct_factorization': [['3.1', 1], ['432.740', 1]], 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 9, 1, 1], [2, 36, 1, 1], [3, 1, 2, 1], [3, 2, 1, 1], [3, 2, 2, 1], [3, 8, 1, 1], [3, 8, 2, 1], [3, 16, 1, 1], [3, 16, 2, 1], [4, 18, 1, 1], [4, 108, 1, 1], [6, 9, 2, 1], [6, 18, 1, 1], [6, 18, 2, 1], [6, 36, 2, 1], [6, 72, 1, 1], [6, 72, 2, 1], [8, 18, 2, 1], [12, 18, 2, 2], [12, 18, 4, 1], [12, 108, 2, 1], [24, 18, 4, 2], [24, 18, 8, 1]], 'element_repr_type': 'PC', 'elementary': 1, 'eulerian_function': 192, 'exponent': 24, 'exponents_of_order': [4, 4], 'factors_of_aut_order': [2, 3], 'factors_of_order': [2, 3], 'faithful_reps': [[16, 0, 2]], 'familial': False, 'frattini_label': '1.1', 'frattini_quotient': '1296.3513', 'hash': 3513, 'hyperelementary': 1, 'id': 175886, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 24, 'inner_gen_orders': [2, 24, 3, 3], 'inner_gens': [[1, 66, 288, 432], [85, 6, 1152, 1008], [289, 726, 144, 432], [1, 1158, 144, 432]], 'inner_hash': 740, 'inner_nilpotent': False, 'inner_order': 432, 'inner_split': True, 'inner_tex': 'F_9:S_3', 'inner_used': [1, 2, 3], 'irrC_degree': 16, 'irrQ_degree': 32, 'irrQ_dim': 32, 'irrR_degree': 32, 'irrep_stats': [[1, 12], [2, 33], [8, 6], [16, 3]], 'label': '1296.3513', 'linC_count': 128, 'linC_degree': 10, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': 12, 'linQ_degree_count': 20, 'linQ_dim': 12, 'linQ_dim_count': 20, 'linR_count': 48, 'linR_degree': 12, 'maximal_subgroups_known': True, 'metabelian': False, 'metacyclic': False, 'monomial': True, 'name': 'C3^4:SD16', 'ngens': 8, '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], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 30, 'number_characteristic_subgroups': 26, 'number_conjugacy_classes': 54, 'number_divisions': 26, 'number_normal_subgroups': 26, 'number_subgroup_autclasses': 133, 'number_subgroup_classes': 136, 'number_subgroups': 1648, 'old_label': None, 'order': 1296, 'order_factorization_type': 33, 'order_stats': [[1, 1], [2, 45], [3, 80], [4, 126], [6, 360], [8, 36], [12, 360], [24, 288]], 'outer_abelian': True, 'outer_cyclic': False, 'outer_equivalence': False, 'outer_exponent': 2, 'outer_gen_orders': [2, 2], 'outer_gen_pows': [0, 108], 'outer_gens': [[5, 102, 144, 432], [37, 102, 576, 720]], 'outer_group': '4.2', 'outer_hash': 2, 'outer_nilpotent': True, 'outer_order': 4, 'outer_permdeg': 4, 'outer_perms': [1, 6], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'C_2^2', 'pc_rank': 4, 'perfect': False, 'permutation_degree': 15, 'pgroup': 0, 'primary_abelian_invariants': [2, 2, 3], 'quasisimple': False, 'rank': 2, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 4], [2, 7], [4, 5], [8, 5], [16, 4], [32, 1]], 'representations': {'PC': {'code': 332479808716779663092689543522142568138236271799694204231, 'gens': [1, 3, 7, 8], 'pres': [8, -2, -3, -2, -2, -2, -3, -3, 3, 16, 1586, 66, 4227, 91, 4804, 116, 4613, 16134, 10774, 4062, 710, 10775, 799, 2343]}, 'Perm': {'d': 15, 'gens': [12944373256, 21247752960, 325, 24922679040, 13898309040, 101556408240, 207614615040, 435]}}, 'schur_multiplier': [], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 6], 'solvability_type': 11, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': False, 'sylow_subgroups_known': True, 'tex_name': 'C_3^4:\\SD_{16}', 'transitive_degree': 48, 'wreath_data': None, 'wreath_product': False}