Query:
/api/gps_groups/?_offset=0
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '4.2', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 2, 'aut_exponent': 60, 'aut_gen_orders': [4, 4, 10, 15], 'aut_gens': [[1, 2, 20], [1, 6, 20], [1, 2, 260], [1, 242, 220], [9, 202, 20]], 'aut_group': '2400.ed', 'aut_hash': 1739717735069072428, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 2400, 'aut_permdeg': 20, 'aut_perms': [283415214, 5241458888285249, 84824466481448111, 1907506077807340708], 'aut_phi_ratio': 30.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 5, 1, 1], [2, 15, 1, 1], [2, 75, 1, 1], [3, 2, 1, 1], [5, 2, 2, 2], [5, 4, 4, 1], [6, 10, 1, 1], [10, 10, 2, 1], [10, 30, 2, 1], [15, 2, 4, 1], [15, 4, 2, 1], [15, 4, 8, 1], [30, 10, 4, 1]], 'aut_supersolvable': True, 'aut_tex': 'S_3\\times F_5^2', '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': 60, 'autcentquo_group': '2400.ed', 'autcentquo_hash': 1739717735069072428, 'autcentquo_nilpotent': False, 'autcentquo_order': 2400, 'autcentquo_solvable': True, 'autcentquo_supersolvable': True, 'autcentquo_tex': 'S_3\\times F_5^2', 'cc_stats': [[1, 1, 1], [2, 5, 1], [2, 15, 1], [2, 75, 1], [3, 2, 1], [5, 2, 4], [5, 4, 4], [6, 10, 1], [10, 10, 2], [10, 30, 2], [15, 2, 4], [15, 4, 10], [30, 10, 4]], 'center_label': '1.1', 'center_order': 1, 'central_product': True, 'central_quotient': '300.39', 'commutator_count': 1, 'commutator_label': '75.3', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '3.1', '5.1', '5.1'], 'composition_length': 5, 'conjugacy_classes_known': True, 'counter': 39, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [['10.1', 1], ['30.3', 1]], 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 5, 1, 1], [2, 15, 1, 1], [2, 75, 1, 1], [3, 2, 1, 1], [5, 2, 2, 2], [5, 4, 2, 2], [6, 10, 1, 1], [10, 10, 2, 1], [10, 30, 2, 1], [15, 2, 4, 1], [15, 4, 2, 1], [15, 4, 4, 2], [30, 10, 4, 1]], 'element_repr_type': 'PC', 'elementary': 1, 'eulerian_function': 6, 'exponent': 30, 'exponents_of_order': [2, 2, 1], 'factors_of_aut_order': [2, 3, 5], 'factors_of_order': [2, 3, 5], 'faithful_reps': [[4, 1, 8]], 'familial': False, 'frattini_label': '1.1', 'frattini_quotient': '300.39', 'hash': 39, 'hyperelementary': 1, 'id': 147568, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 30, 'inner_gen_orders': [2, 10, 15], 'inner_gens': [[1, 18, 20], [5, 2, 280], [1, 42, 20]], 'inner_hash': 39, 'inner_nilpotent': False, 'inner_order': 300, 'inner_split': False, 'inner_tex': 'D_5\\times D_{15}', 'inner_used': [1, 2, 3], 'irrC_degree': 4, 'irrQ_degree': 16, 'irrQ_dim': 16, 'irrR_degree': 4, 'irrep_stats': [[1, 4], [2, 18], [4, 14]], 'label': '300.39', 'linC_count': 40, 'linC_degree': 4, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': 10, 'linQ_degree_count': 12, 'linQ_dim': 10, 'linQ_dim_count': 12, 'linR_count': 40, 'linR_degree': 4, 'maximal_subgroups_known': True, 'metabelian': True, 'metacyclic': False, 'monomial': True, 'name': 'D5*D15', '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, 0, 0], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 15, 'number_characteristic_subgroups': 16, 'number_conjugacy_classes': 36, 'number_divisions': 17, 'number_normal_subgroups': 16, 'number_subgroup_autclasses': 44, 'number_subgroup_classes': 48, 'number_subgroups': 456, 'old_label': None, 'order': 300, 'order_factorization_type': 222, 'order_stats': [[1, 1], [2, 95], [3, 2], [5, 24], [6, 10], [10, 80], [15, 48], [30, 40]], 'outer_abelian': True, 'outer_cyclic': False, 'outer_equivalence': False, 'outer_exponent': 4, 'outer_gen_orders': [2, 4], 'outer_gen_pows': [1, 0], 'outer_gens': [[1, 6, 280], [1, 2, 140]], 'outer_group': '8.2', 'outer_hash': 2, 'outer_nilpotent': True, 'outer_order': 8, 'outer_permdeg': 6, 'outer_perms': [120, 9], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'C_2\\times C_4', 'pc_rank': 3, 'perfect': False, 'permutation_degree': 13, 'pgroup': 0, 'primary_abelian_invariants': [2, 2], 'quasisimple': False, 'rank': 2, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 4], [2, 2], [4, 4], [8, 5], [16, 2]], 'representations': {'PC': {'code': 123549438606092855351, 'gens': [1, 2, 4], 'pres': [5, -2, -2, -5, -3, -5, 181, 26, 242, 2808, 78, 3009]}, 'GLZN': {'d': 2, 'p': 110, 'gens': [1331089, 135407871, 75207551, 1333421, 139461944]}, 'Perm': {'d': 13, 'gens': [40280400, 7, 5760, 37, 559198080]}}, 'schur_multiplier': [2], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 2], 'solvability_type': 7, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'D_5\\times D_{15}', 'transitive_degree': 30, 'wreath_data': None, 'wreath_product': False}