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': 4, 'aut_exponent': 72, 'aut_gen_orders': [24, 8, 24, 8], 'aut_gens': [[1, 2, 8, 144, 1296, 11664], [72603, 63186, 94408, 85616, 3968, 92160], [12249, 96326, 13356, 61200, 67680, 7840], [42803, 35786, 8488, 69296, 3920, 67680], [64639, 90778, 90840, 62864, 9152, 67680]], 'aut_group': None, 'aut_hash': 4650423424450156232, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 15116544, 'aut_permdeg': 648, 'aut_perms': 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'aut_phi_ratio': 432.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 81, 2, 1], [2, 162, 4, 1], [2, 6561, 1, 1], [3, 4, 4, 1], [3, 8, 4, 1], [3, 16, 2, 1], [4, 13122, 2, 1], [6, 324, 4, 1], [6, 324, 8, 1], [6, 648, 4, 1], [9, 4, 12, 1], [9, 8, 12, 1], [9, 8, 24, 1], [9, 8, 36, 1], [9, 16, 12, 1], [9, 16, 18, 1], [9, 16, 24, 2], [9, 16, 72, 4], [18, 324, 12, 1], [18, 324, 24, 1], [18, 648, 12, 1], [18, 648, 24, 1], [18, 648, 36, 1]], 'aut_supersolvable': False, 'aut_tex': 'C_9^4.(C_6\\times D_4).C_6.C_2^3', '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': 72, 'autcentquo_group': None, 'autcentquo_hash': 4650423424450156232, 'autcentquo_nilpotent': False, 'autcentquo_order': 15116544, 'autcentquo_solvable': True, 'autcentquo_supersolvable': False, 'autcentquo_tex': 'C_9^4.(C_4\\times C_{12}).C_6.C_2^3', 'cc_stats': [[1, 1, 1], [2, 81, 2], [2, 162, 4], [2, 6561, 1], [3, 4, 4], [3, 8, 4], [3, 16, 2], [4, 13122, 2], [6, 324, 12], [6, 648, 4], [9, 4, 12], [9, 8, 72], [9, 16, 366], [18, 324, 36], [18, 648, 72]], 'center_label': '1.1', 'center_order': 1, 'central_product': False, 'central_quotient': '104976.pg', 'commutator_count': 1, 'commutator_label': None, 'complements_known': True, 'complete': False, 'complex_characters_known': False, 'composition_factors': ['2.1', '2.1', '2.1', '2.1', '3.1', '3.1', '3.1', '3.1', '3.1', '3.1', '3.1', '3.1'], 'composition_length': 12, 'conjugacy_classes_known': True, 'counter': 397, 'cyclic': False, 'derived_length': 3, 'dihedral': False, 'direct_factorization': [], 'direct_product': False, 'div_stats': [[1, 1, 1, 1], [2, 81, 1, 2], [2, 162, 1, 4], [2, 6561, 1, 1], [3, 4, 1, 4], [3, 8, 1, 4], [3, 16, 1, 2], [4, 13122, 1, 2], [6, 324, 1, 12], [6, 648, 1, 4], [9, 4, 3, 4], [9, 8, 3, 24], [9, 16, 3, 122], [18, 324, 3, 12], [18, 648, 3, 24]], 'element_repr_type': 'PC', 'elementary': 1, 'eulerian_function': None, 'exponent': 36, 'exponents_of_order': [8, 4], 'factors_of_aut_order': [2, 3], 'factors_of_order': [2, 3], 'faithful_reps': [[8, 1, 72], [16, 1, 306]], 'familial': False, 'frattini_label': '81.15', 'frattini_quotient': '1296.3531', 'hash': 4978819561765504459, 'hyperelementary': 1, 'id': 331332, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 36, 'inner_gen_orders': [18, 4, 18, 9, 9, 9], 'inner_gens': [[1, 44950, 84088, 144, 1296, 103824], [44949, 2, 35192, 83120, 2624, 103824], [34001, 71234, 8, 3744, 1296, 93312], [1, 33810, 9368, 144, 1296, 11664], [1, 10482, 8, 144, 1296, 11664], [25777, 25778, 23336, 144, 1296, 11664]], 'inner_hash': 4978819561765504459, 'inner_nilpotent': False, 'inner_order': 104976, 'inner_split': False, 'inner_tex': 'C_9^4:(C_2\\times D_4)', 'inner_used': [1, 2, 3], 'irrC_degree': 8, 'irrQ_degree': 24, 'irrQ_dim': 24, 'irrR_degree': None, 'irrep_stats': [[1, 8], [2, 2], [4, 64], [8, 152], [16, 368]], 'label': '104976.pg', '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': 'C9^4:(C2*D4)', 'ngens': 12, '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, 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': 28, 'number_characteristic_subgroups': 7, 'number_conjugacy_classes': 594, 'number_divisions': 222, 'number_normal_subgroups': 31, 'number_subgroup_autclasses': 869, 'number_subgroup_classes': 9707, 'number_subgroups': 4058427, 'old_label': None, 'order': 104976, 'order_factorization_type': 33, 'order_stats': [[1, 1], [2, 7371], [3, 80], [4, 26244], [6, 6480], [9, 6480], [18, 58320]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': True, 'outer_exponent': 12, 'outer_gen_orders': [2, 6, 12], 'outer_gen_pows': [1332, 2626, 98316], 'outer_gens': [[4609, 52882, 88460, 2880, 9360, 9152], [42803, 1298, 45784, 30848, 3920, 2448], [99995, 94442, 42664, 27344, 4016, 10512]], 'outer_group': '144.162', 'outer_hash': 162, 'outer_nilpotent': False, 'outer_order': 144, 'outer_permdeg': 10, 'outer_perms': [848160, 1103762, 1098850], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'C_{12}:D_6', 'pc_rank': 6, 'perfect': False, 'permutation_degree': 36, 'pgroup': 0, 'primary_abelian_invariants': [2, 2, 2], 'quasisimple': False, 'rank': 3, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 8], [2, 2], [4, 16], [8, 8], [12, 16], [16, 2], [24, 48], [48, 122]], 'representations': {'PC': {'code': '33872013782057473219438504774753630769470996270873275777787210182925629561920662027193332792896215595831868452986108197617997058439905321406281541540169099651452328031880221625115587489097546609460621567', 'gens': [1, 2, 4, 7, 9, 11], 'pres': [12, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 41472, 1078801, 61, 313490, 4036227, 844623, 1052283, 135, 552004, 81136, 1948, 232, 286853, 281681, 1757, 3491058, 24222, 39354, 330, 1891603, 20767, 103723, 141716, 279968, 428, 472341, 233313, 13704778, 6852406, 3079330, 1539694, 526, 11259659, 5629847, 2519459, 1259759]}, 'Perm': {'d': 36, 'gens': [42246793264811493808969251472948072631069, 64123032717685889838011070266273625491130, 212436839145186620407095580327880049742075]}}, 'schur_multiplier': [2, 2, 2], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 2, 2], 'solvability_type': 17, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': False, 'sylow_subgroups_known': True, 'tex_name': 'C_9^4:(C_2\\times D_4)', 'transitive_degree': 36, 'wreath_data': None, 'wreath_product': False}