Query:
/api/gps_groups/?_offset=0
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'abelian_quotient': '1210.27', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 1, 'aut_exponent': 1320, 'aut_gen_orders': [4, 10, 3], 'aut_gens': [[1, 11], [1, 737], [2, 11], [120, 122]], 'aut_group': None, 'aut_hash': 4839186793908856470, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 52800, 'aut_permdeg': 124, 'aut_perms': [127199234357535032621152164827798019594358118479561103426589818880000000000, 12346260577340525593025104769630054345495927436982011765604500425115737407824132827974135457920438221170900987437673395038137138438354491673368999483029156613461362086796608554937708771552344813701517774120, 788258974836617476764520250680316931891506091040420212528568434457577663888917115055207625472406410307870628607276379809202815802278300471555924244975964026080088660711724387114492871508309672421945511577189], 'aut_phi_ratio': 120.0, 'aut_solvable': False, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [5, 1, 4, 1], [10, 1, 4, 1], [11, 1, 120, 1], [22, 1, 120, 1], [55, 1, 480, 1], [110, 1, 480, 1]], 'aut_supersolvable': False, 'aut_tex': 'C_4\\times C_{10}.\\PSL(2,11).C_2', 'autcent_abelian': False, 'autcent_cyclic': False, 'autcent_exponent': 1320, 'autcent_group': None, 'autcent_hash': 4839186793908856470, 'autcent_nilpotent': False, 'autcent_order': 52800, 'autcent_solvable': False, 'autcent_split': True, 'autcent_supersolvable': False, 'autcent_tex': 'C_4\\times C_{10}.\\PSL(2,11).C_2', 'autcentquo_abelian': True, 'autcentquo_cyclic': True, 'autcentquo_exponent': 1, 'autcentquo_group': '1.1', 'autcentquo_hash': 1, 'autcentquo_nilpotent': True, 'autcentquo_order': 1, 'autcentquo_solvable': True, 'autcentquo_supersolvable': True, 'autcentquo_tex': 'C_1', 'cc_stats': [[1, 1, 1], [2, 1, 1], [5, 1, 4], [10, 1, 4], [11, 1, 120], [22, 1, 120], [55, 1, 480], [110, 1, 480]], 'center_label': '1210.27', 'center_order': 1210, 'central_product': True, 'central_quotient': '1.1', 'commutator_count': 0, 'commutator_label': '1.1', 'complements_known': True, 'complete': False, 'complex_characters_known': False, 'composition_factors': ['2.1', '5.1', '11.1', '11.1'], 'composition_length': 4, 'conjugacy_classes_known': True, 'counter': 27, 'cyclic': False, 'derived_length': 1, 'dihedral': False, 'direct_factorization': [['11.1', 2], ['2.1', 1], ['5.1', 1]], 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [5, 1, 4, 1], [10, 1, 4, 1], [11, 1, 10, 12], [22, 1, 10, 12], [55, 1, 40, 12], [110, 1, 40, 12]], 'element_repr_type': 'PC', 'elementary': 11, 'eulerian_function': 18, 'exponent': 110, 'exponents_of_order': [2, 1, 1], 'factors_of_aut_order': [2, 3, 5, 11], 'factors_of_order': [2, 5, 11], 'faithful_reps': [], 'familial': False, 'frattini_label': '1.1', 'frattini_quotient': '1210.27', 'hash': 27, 'hyperelementary': 11, 'id': 169434, 'inner_abelian': True, 'inner_cyclic': True, 'inner_exponent': 1, 'inner_gen_orders': [1, 1], 'inner_gens': [[1, 11], [1, 11]], 'inner_hash': 1, 'inner_nilpotent': True, 'inner_order': 1, 'inner_split': True, 'inner_tex': 'C_1', 'inner_used': [], 'irrC_degree': -1, 'irrQ_degree': -1, 'irrQ_dim': -1, 'irrR_degree': None, 'irrep_stats': [[1, 1210]], 'label': '1210.27', 'linC_count': None, 'linC_degree': 2, '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': True, 'monomial': True, 'name': 'C11*C110', 'ngens': 4, 'nilpotency_class': 1, 'nilpotent': True, 'normal_counts': [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': 8, 'number_characteristic_subgroups': 8, 'number_conjugacy_classes': 1210, 'number_divisions': 52, 'number_normal_subgroups': 56, 'number_subgroup_autclasses': 12, 'number_subgroup_classes': 56, 'number_subgroups': 56, 'old_label': None, 'order': 1210, 'order_factorization_type': 222, 'order_stats': [[1, 1], [2, 1], [5, 4], [10, 4], [11, 120], [22, 120], [55, 480], [110, 480]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': False, 'outer_exponent': 1320, 'outer_gen_orders': [4, 10, 3], 'outer_gen_pows': [0, 0, 0], 'outer_gens': [[1, 737], [2, 11], [120, 122]], 'outer_group': None, 'outer_hash': 4839186793908856470, 'outer_nilpotent': False, 'outer_order': 52800, 'outer_permdeg': 124, 'outer_perms': [127199234357535032621152164827798019594358118479561103426589818880000000000, 12346260577340525593025104769630054345495927436982011765604500425115737407824132827974135457920438221170900987437673395038137138438354491673368999483029156613461362086796608554937708771552344813701517774120, 788258974836617476764520250680316931891506091040420212528568434457577663888917115055207625472406410307870628607276379809202815802278300471555924244975964026080088660711724387114492871508309672421945511577189], 'outer_solvable': False, 'outer_supersolvable': False, 'outer_tex': 'C_4\\times C_{10}.\\PSL(2,11).C_2', 'pc_rank': 2, 'perfect': False, 'permutation_degree': 29, 'pgroup': 0, 'primary_abelian_invariants': [2, 5, 11, 11], 'quasisimple': False, 'rank': 2, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 2], [4, 2], [10, 24], [40, 24]], 'representations': {'PC': {'code': 6251589039, 'gens': [1, 2], 'pres': [4, -11, -2, -5, -11, 21, 70]}, 'GLFp': {'d': 2, 'p': 331, 'gens': [10226642889, 9791466571]}, 'Perm': {'d': 29, 'gens': [304888344611713860501504000000, 1613165844506422542336000000, 510909421717094400000, 36288000]}}, 'schur_multiplier': [11], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [11, 110], 'solvability_type': 1, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'C_{11}\\times C_{110}', 'transitive_degree': 1210, 'wreath_data': None, 'wreath_product': False}