Query:
/api/gps_groups/?_offset=0
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '36.14', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 4, 'aut_exponent': 120, 'aut_gen_orders': [8, 12, 4, 20], 'aut_gens': [[1, 6, 60], [150, 543, 614], [49, 234, 422], [603, 558, 544], [1, 762, 664]], 'aut_group': None, 'aut_hash': 7145589770463874637, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 38400, 'aut_permdeg': 18, 'aut_perms': [762710282037780, 3224450089883302, 318995362871753, 2681229860485750], 'aut_phi_ratio': 160.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 5, 2, 1], [2, 25, 1, 1], [3, 1, 8, 1], [5, 2, 4, 1], [5, 4, 4, 1], [6, 5, 16, 1], [6, 25, 8, 1], [10, 10, 4, 1], [15, 2, 32, 1], [15, 4, 32, 1], [30, 10, 32, 1]], 'aut_supersolvable': False, 'aut_tex': '(C_5^2\\times Q_8).C_{12}.C_2.C_2^3', 'autcent_abelian': False, 'autcent_cyclic': False, 'autcent_exponent': 24, 'autcent_group': '48.29', 'autcent_hash': 29, 'autcent_nilpotent': False, 'autcent_order': 48, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': False, 'autcent_tex': '\\GL(2,3)', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 40, 'autcentquo_group': '800.1191', 'autcentquo_hash': 1191, 'autcentquo_nilpotent': False, 'autcentquo_order': 800, 'autcentquo_solvable': True, 'autcentquo_supersolvable': False, 'autcentquo_tex': 'F_5\\wr C_2', 'cc_stats': [[1, 1, 1], [2, 5, 2], [2, 25, 1], [3, 1, 8], [5, 2, 4], [5, 4, 4], [6, 5, 16], [6, 25, 8], [10, 10, 4], [15, 2, 32], [15, 4, 32], [30, 10, 32]], 'center_label': '9.2', 'center_order': 9, 'central_product': True, 'central_quotient': '100.13', 'commutator_count': 1, 'commutator_label': '25.2', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '3.1', '3.1', '5.1', '5.1'], 'composition_length': 6, 'conjugacy_classes_known': True, 'counter': 123, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [['10.1', 2], ['3.1', 2]], 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 5, 1, 2], [2, 25, 1, 1], [3, 1, 2, 4], [5, 2, 2, 2], [5, 4, 2, 2], [6, 5, 2, 8], [6, 25, 2, 4], [10, 10, 2, 2], [15, 2, 4, 8], [15, 4, 4, 8], [30, 10, 4, 8]], 'element_repr_type': 'PC', 'elementary': 1, 'eulerian_function': 3, 'exponent': 30, 'exponents_of_order': [2, 2, 2], 'factors_of_aut_order': [2, 3, 5], 'factors_of_order': [2, 3, 5], 'faithful_reps': [], 'familial': False, 'frattini_label': '1.1', 'frattini_quotient': '900.123', 'hash': 123, 'hyperelementary': 1, 'id': 305239, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 10, 'inner_gen_orders': [2, 10, 5], 'inner_gens': [[1, 54, 60], [13, 6, 240], [1, 726, 60]], 'inner_hash': 13, 'inner_nilpotent': False, 'inner_order': 100, 'inner_split': False, 'inner_tex': 'D_5^2', 'inner_used': [1, 2, 3], 'irrC_degree': -1, 'irrQ_degree': -1, 'irrQ_dim': -1, 'irrR_degree': -1, 'irrep_stats': [[1, 36], [2, 72], [4, 36]], 'label': '900.123', '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': True, 'metacyclic': False, 'monomial': True, 'name': 'C3^2*D5^2', 'ngens': 6, '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], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 12, 'number_characteristic_subgroups': 8, 'number_conjugacy_classes': 144, 'number_divisions': 50, 'number_normal_subgroups': 60, 'number_subgroup_autclasses': 45, 'number_subgroup_classes': 144, 'number_subgroups': 744, 'old_label': None, 'order': 900, 'order_factorization_type': 222, 'order_stats': [[1, 1], [2, 35], [3, 8], [5, 24], [6, 280], [10, 40], [15, 192], [30, 320]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': True, 'outer_exponent': 24, 'outer_gen_orders': [4, 3, 2, 2, 2, 4, 4, 2], 'outer_gen_pows': [0, 30, 31, 31, 31, 31, 31, 31], 'outer_gens': [[303, 18, 184], [303, 6, 844], [1, 18, 420], [32, 723, 616], [5, 18, 480], [634, 183, 340], [32, 723, 336], [34, 543, 636]], 'outer_group': '384.17972', 'outer_hash': 17972, 'outer_nilpotent': False, 'outer_order': 384, 'outer_permdeg': 12, 'outer_perms': [127024576, 262080000, 16, 41091134, 40284856, 176163138, 18, 14], 'outer_solvable': True, 'outer_supersolvable': False, 'outer_tex': 'D_4\\times \\GL(2,3)', 'pc_rank': 3, 'perfect': False, 'permutation_degree': 16, 'pgroup': 0, 'primary_abelian_invariants': [2, 2, 3, 3], 'quasisimple': False, 'rank': 2, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 4], [2, 16], [4, 4], [8, 18], [16, 8]], 'representations': {'PC': {'code': 6850228274126560869256876343, 'gens': [1, 3, 5], 'pres': [6, -2, -3, -2, -5, -3, -5, 12, 974, 50, 1155, 1216, 118, 4337]}, 'GLFq': {'d': 4, 'q': 4, 'gens': [1092701056, 2157168386, 2149582850, 41029056, 2173740034, 1088418305]}, 'Perm': {'d': 16, 'gens': [7, 87657292800, 3997440, 4001760, 1482509952000, 37]}}, 'schur_multiplier': [6], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [6, 6], 'solvability_type': 7, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'C_3^2\\times D_5^2', 'transitive_degree': 90, 'wreath_data': None, 'wreath_product': False}