Query:
/api/gps_groups/?_offset=0
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '8.2', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 2, 'aut_exponent': 330, 'aut_gen_orders': [30, 30, 15, 30, 10], 'aut_gens': [[1, 2, 8], [53, 178, 152], [245, 182, 248], [97, 90, 128], [169, 182, 248], [101, 182, 112]], 'aut_group': None, 'aut_hash': 4845733366138083661, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 2640, 'aut_permdeg': 28, 'aut_perms': [53807625267380498438360241839, 281308655732017558920296710886, 161438381546052066233753348673, 224037311461706378554120677819, 138417646878528409378798331516], 'aut_phi_ratio': 33.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 11, 2, 1], [3, 2, 1, 1], [4, 3, 2, 1], [4, 33, 2, 1], [6, 2, 1, 1], [6, 22, 2, 1], [11, 2, 5, 1], [22, 2, 5, 1], [33, 4, 5, 1], [44, 6, 10, 1], [66, 4, 5, 1]], 'aut_supersolvable': True, 'aut_tex': 'C_{11}:(C_2^2\\times C_{10}\\times S_3)', 'autcent_abelian': True, 'autcent_cyclic': False, 'autcent_exponent': 2, 'autcent_group': '4.2', 'autcent_hash': 2, 'autcent_nilpotent': True, 'autcent_order': 4, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': True, 'autcent_tex': 'C_2^2', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 330, 'autcentquo_group': '660.15', 'autcentquo_hash': 15, 'autcentquo_nilpotent': False, 'autcentquo_order': 660, 'autcentquo_solvable': True, 'autcentquo_supersolvable': True, 'autcentquo_tex': 'S_3\\times F_{11}', 'cc_stats': [[1, 1, 1], [2, 1, 1], [2, 11, 2], [3, 2, 1], [4, 3, 2], [4, 33, 2], [6, 2, 1], [6, 22, 2], [11, 2, 5], [22, 2, 5], [33, 4, 5], [44, 6, 10], [66, 4, 5]], 'center_label': '2.1', 'center_order': 2, 'central_product': True, 'central_quotient': '132.5', 'commutator_count': 1, 'commutator_label': '33.1', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '2.1', '3.1', '11.1'], 'composition_length': 5, 'conjugacy_classes_known': True, 'counter': 5, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [['12.1', 1], ['22.1', 1]], 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 11, 1, 2], [3, 2, 1, 1], [4, 3, 2, 1], [4, 33, 2, 1], [6, 2, 1, 1], [6, 22, 1, 2], [11, 2, 5, 1], [22, 2, 5, 1], [33, 4, 5, 1], [44, 6, 10, 1], [66, 4, 5, 1]], 'element_repr_type': 'PC', 'elementary': 1, 'eulerian_function': 6, 'exponent': 132, 'exponents_of_order': [3, 1, 1], 'factors_of_aut_order': [2, 3, 5, 11], 'factors_of_order': [2, 3, 11], 'faithful_reps': [[4, -1, 5]], 'familial': False, 'frattini_label': '2.1', 'frattini_quotient': '132.5', 'hash': 5, 'hyperelementary': 2, 'id': 146319, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 66, 'inner_gen_orders': [2, 2, 33], 'inner_gens': [[1, 2, 80], [1, 2, 184], [193, 90, 8]], 'inner_hash': 5, 'inner_nilpotent': False, 'inner_order': 132, 'inner_split': True, 'inner_tex': 'S_3\\times D_{11}', 'inner_used': [1, 2, 3], 'irrC_degree': 4, 'irrQ_degree': 20, 'irrQ_dim': 40, 'irrR_degree': 8, 'irrep_stats': [[1, 8], [2, 24], [4, 10]], 'label': '264.5', 'linC_count': 65, 'linC_degree': 4, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': 12, 'linQ_degree_count': 4, 'linQ_dim': 14, 'linQ_dim_count': 12, 'linR_count': 80, 'linR_degree': 6, 'maximal_subgroups_known': True, 'metabelian': True, 'metacyclic': False, 'monomial': True, 'name': 'C6.D22', 'ngens': 5, 'nilpotency_class': -1, 'nilpotent': False, 'normal_counts': [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': 13, 'number_characteristic_subgroups': 14, 'number_conjugacy_classes': 42, 'number_divisions': 15, 'number_normal_subgroups': 18, 'number_subgroup_autclasses': 28, 'number_subgroup_classes': 32, 'number_subgroups': 184, 'old_label': None, 'order': 264, 'order_factorization_type': 311, 'order_stats': [[1, 1], [2, 23], [3, 2], [4, 72], [6, 46], [11, 10], [22, 10], [33, 20], [44, 60], [66, 20]], 'outer_abelian': True, 'outer_cyclic': False, 'outer_equivalence': False, 'outer_exponent': 10, 'outer_gen_orders': [2, 10], 'outer_gen_pows': [0, 0], 'outer_gens': [[1, 6, 80], [5, 2, 104]], 'outer_group': '20.5', 'outer_hash': 5, 'outer_nilpotent': True, 'outer_order': 20, 'outer_permdeg': 9, 'outer_perms': [40320, 810], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'C_2\\times C_{10}', 'pc_rank': 3, 'perfect': False, 'permutation_degree': 18, 'pgroup': 0, 'primary_abelian_invariants': [2, 4], 'quasisimple': False, 'rank': 2, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 4], [2, 6], [10, 2], [20, 3]], 'representations': {'PC': {'code': 143526118308321000019, 'gens': [1, 2, 4], 'pres': [5, -2, -2, -2, -3, -11, 26, 1603, 1848, 78, 6004]}, 'GLZN': {'d': 2, 'p': 44, 'gens': [1959255, 1790625, 3706977, 85361, 1044979]}, 'Perm': {'d': 18, 'gens': [21010450849927, 137, 7, 840, 397708329755520]}}, 'schur_multiplier': [2], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 4], 'solvability_type': 7, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'C_6.D_{22}', 'transitive_degree': 132, 'wreath_data': None, 'wreath_product': False}