Query:
/api/gps_groups/?_offset=0
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '6.2', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 2, 'aut_exponent': 180, 'aut_gen_orders': [2, 30], 'aut_gens': [[6749608456, 519000066], [24988223318, 43593105], [7744058171, 12973007505]], 'aut_group': '6480.co', 'aut_hash': 3526761953808852284, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 6480, 'aut_permdeg': 24, 'aut_perms': [26866808321803044633055, 541289453340619453804564], 'aut_phi_ratio': 7.5, 'aut_solvable': False, 'aut_stats': [[1, 1, 1, 1], [2, 9, 1, 1], [2, 15, 1, 1], [2, 135, 1, 1], [3, 2, 1, 1], [3, 3, 1, 2], [3, 20, 1, 1], [3, 40, 1, 1], [3, 60, 1, 2], [5, 12, 2, 1], [6, 9, 1, 2], [6, 30, 1, 1], [6, 45, 1, 2], [6, 135, 1, 2], [6, 180, 1, 3], [9, 6, 1, 3], [9, 120, 1, 3], [10, 108, 2, 1], [15, 24, 2, 1], [15, 36, 2, 2], [18, 90, 1, 3], [30, 108, 2, 2], [45, 72, 2, 3]], 'aut_supersolvable': False, 'aut_tex': 'C_9:C_6\\times S_5', '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': 180, 'autcentquo_group': '6480.co', 'autcentquo_hash': 3526761953808852284, 'autcentquo_nilpotent': False, 'autcentquo_order': 6480, 'autcentquo_solvable': False, 'autcentquo_supersolvable': False, 'autcentquo_tex': 'C_9:C_6\\times S_5', 'cc_stats': [[1, 1, 1], [2, 9, 1], [2, 15, 1], [2, 135, 1], [3, 2, 1], [3, 3, 2], [3, 20, 1], [3, 40, 1], [3, 60, 2], [5, 12, 2], [6, 9, 2], [6, 30, 1], [6, 45, 2], [6, 135, 2], [6, 180, 3], [9, 6, 3], [9, 120, 3], [10, 108, 2], [15, 24, 2], [15, 36, 4], [18, 90, 3], [30, 108, 4], [45, 72, 6]], 'center_label': '1.1', 'center_order': 1, 'central_product': True, 'central_quotient': '3240.ca', 'commutator_count': 1, 'commutator_label': '540.31', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '3.1', '3.1', '3.1', '60.5'], 'composition_length': 5, 'conjugacy_classes_known': True, 'counter': 53, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [['54.6', 1], ['60.5', 1]], 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 9, 1, 1], [2, 15, 1, 1], [2, 135, 1, 1], [3, 2, 1, 1], [3, 3, 2, 1], [3, 20, 1, 1], [3, 40, 1, 1], [3, 60, 2, 1], [5, 12, 2, 1], [6, 9, 2, 1], [6, 30, 1, 1], [6, 45, 2, 1], [6, 135, 2, 1], [6, 180, 1, 1], [6, 180, 2, 1], [9, 6, 1, 1], [9, 6, 2, 1], [9, 120, 1, 1], [9, 120, 2, 1], [10, 108, 2, 1], [15, 24, 2, 1], [15, 36, 4, 1], [18, 90, 1, 1], [18, 90, 2, 1], [30, 108, 4, 1], [45, 72, 2, 1], [45, 72, 4, 1]], 'element_repr_type': 'Perm', 'elementary': 1, 'eulerian_function': 456, 'exponent': 90, 'exponents_of_order': [4, 3, 1], 'factors_of_aut_order': [2, 3, 5], 'factors_of_order': [2, 3, 5], 'faithful_reps': [[18, 1, 2], [24, 1, 1], [30, 1, 1]], 'familial': False, 'frattini_label': '3.1', 'frattini_quotient': '1080.492', 'hash': 4594539643885280587, 'hyperelementary': 1, 'id': 430258, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 90, 'inner_gen_orders': [10, 9], 'inner_gens': [[6749608456, 43593105], [13974619918, 519000066]], 'inner_hash': 4594539643885280587, 'inner_nilpotent': False, 'inner_order': 3240, 'inner_split': True, 'inner_tex': 'D_9:\\GL(2,4)', 'inner_used': [1, 2], 'irrC_degree': 18, 'irrQ_degree': 24, 'irrQ_dim': 24, 'irrR_degree': 18, 'irrep_stats': [[1, 6], [2, 3], [3, 12], [4, 6], [5, 6], [6, 7], [8, 3], [10, 3], [18, 2], [24, 1], [30, 1]], 'label': '3240.ca', 'linC_count': 12, 'linC_degree': 9, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': 10, 'linQ_degree_count': 2, 'linQ_dim': 10, 'linQ_dim_count': 2, 'linR_count': 4, 'linR_degree': 9, 'maximal_subgroups_known': True, 'metabelian': False, 'metacyclic': False, 'monomial': False, 'name': 'D9:GL(2,4)', '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, 0, 0, 0, 0, 0, 0, 0, 0], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 40, 'number_characteristic_subgroups': 14, 'number_conjugacy_classes': 50, 'number_divisions': 28, 'number_normal_subgroups': 14, 'number_subgroup_autclasses': 169, 'number_subgroup_classes': 177, 'number_subgroups': 4640, 'old_label': None, 'order': 3240, 'order_factorization_type': 321, 'order_stats': [[1, 1], [2, 159], [3, 188], [5, 24], [6, 948], [9, 378], [10, 216], [15, 192], [18, 270], [30, 432], [45, 432]], 'outer_abelian': True, 'outer_cyclic': True, 'outer_equivalence': False, 'outer_exponent': 2, 'outer_gen_orders': [2], 'outer_gen_pows': [1520467200], 'outer_gens': [[13491918856, 562545666]], 'outer_group': '2.1', 'outer_hash': 1, 'outer_nilpotent': True, 'outer_order': 2, 'outer_permdeg': 2, 'outer_perms': [1], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'C_2', 'pc_rank': None, 'perfect': False, 'permutation_degree': 14, 'pgroup': 0, 'primary_abelian_invariants': [2, 3], 'quasisimple': False, 'rank': 2, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 2], [2, 3], [4, 3], [5, 2], [6, 3], [8, 3], [10, 3], [12, 3], [16, 1], [20, 1], [24, 2], [30, 1], [36, 1]], 'representations': {'Perm': {'d': 14, 'gens': [6749608456, 519000066]}}, 'schur_multiplier': [2], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [6], 'solvability_type': 13, 'solvable': False, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': False, 'sylow_subgroups_known': True, 'tex_name': 'D_9:\\GL(2,4)', 'transitive_degree': 45, 'wreath_data': None, 'wreath_product': False}