Query:
/api/gps_groups/?_offset=0
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '20.5', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 2, 'aut_exponent': 220, 'aut_gen_orders': [2, 10, 44], 'aut_gens': [[1, 10], [1, 210], [111, 310], [351, 10]], 'aut_group': '880.118', 'aut_hash': 118, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 880, 'aut_permdeg': 44, 'aut_perms': [40048275103413727518422026743006599752548900740814563, 1717322501014507713892529579025235827577127627124644387, 2123616083634672126623583062108972603495766939933322950], 'aut_phi_ratio': 5.5, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [4, 2, 1, 1], [4, 22, 2, 1], [5, 11, 1, 4], [10, 11, 1, 4], [11, 10, 1, 1], [20, 22, 1, 4], [20, 22, 2, 4], [22, 10, 1, 1], [44, 10, 2, 1]], 'aut_supersolvable': True, 'aut_tex': 'D_4\\times F_{11}', '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': 110, 'autcentquo_group': '220.7', 'autcentquo_hash': 7, 'autcentquo_nilpotent': False, 'autcentquo_order': 220, 'autcentquo_solvable': True, 'autcentquo_supersolvable': True, 'autcentquo_tex': 'C_2\\times F_{11}', 'cc_stats': [[1, 1, 1], [2, 1, 1], [4, 2, 1], [4, 22, 2], [5, 11, 4], [10, 11, 4], [11, 10, 1], [20, 22, 12], [22, 10, 1], [44, 10, 2]], 'center_label': '2.1', 'center_order': 2, 'central_product': False, 'central_quotient': '220.7', 'commutator_count': 1, 'commutator_label': '22.2', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '2.1', '5.1', '11.1'], 'composition_length': 5, 'conjugacy_classes_known': True, 'counter': 7, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [], 'direct_product': False, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [4, 2, 1, 1], [4, 22, 1, 2], [5, 11, 4, 1], [10, 11, 4, 1], [11, 10, 1, 1], [20, 22, 4, 3], [22, 10, 1, 1], [44, 10, 2, 1]], 'element_repr_type': 'PC', 'elementary': 1, 'eulerian_function': 72, 'exponent': 220, 'exponents_of_order': [3, 1, 1], 'factors_of_aut_order': [2, 5, 11], 'factors_of_order': [2, 5, 11], 'faithful_reps': [[10, -1, 2]], 'familial': False, 'frattini_label': '2.1', 'frattini_quotient': '220.7', 'hash': 7, 'hyperelementary': 1, 'id': 153190, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 110, 'inner_gen_orders': [10, 22], 'inner_gens': [[1, 350], [101, 10]], 'inner_hash': 7, 'inner_nilpotent': False, 'inner_order': 220, 'inner_split': True, 'inner_tex': 'C_2\\times F_{11}', 'inner_used': [1, 2], 'irrC_degree': 10, 'irrQ_degree': 20, 'irrQ_dim': 40, 'irrR_degree': 20, 'irrep_stats': [[1, 20], [2, 5], [10, 4]], 'label': '440.7', 'linC_count': 2, 'linC_degree': 10, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': 12, 'linQ_degree_count': 2, 'linQ_dim': 14, 'linQ_dim_count': 2, 'linR_count': 6, 'linR_degree': 14, 'maximal_subgroups_known': True, 'metabelian': True, 'metacyclic': True, 'monomial': True, 'name': 'C44.C10', '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': 23, 'number_characteristic_subgroups': 11, 'number_conjugacy_classes': 29, 'number_divisions': 13, 'number_normal_subgroups': 15, 'number_subgroup_autclasses': 20, 'number_subgroup_classes': 24, 'number_subgroups': 114, 'old_label': None, 'order': 440, 'order_factorization_type': 311, 'order_stats': [[1, 1], [2, 1], [4, 46], [5, 44], [10, 44], [11, 10], [20, 264], [22, 10], [44, 20]], 'outer_abelian': True, 'outer_cyclic': False, 'outer_equivalence': False, 'outer_exponent': 2, 'outer_gen_orders': [2, 2], 'outer_gen_pows': [330, 0], 'outer_gens': [[111, 210], [221, 210]], 'outer_group': '4.2', 'outer_hash': 2, 'outer_nilpotent': True, 'outer_order': 4, 'outer_permdeg': 4, 'outer_perms': [1, 6], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'C_2^2', 'pc_rank': 2, 'perfect': False, 'permutation_degree': 19, 'pgroup': 0, 'primary_abelian_invariants': [2, 2, 5], 'quasisimple': False, 'rank': 2, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 4], [2, 1], [4, 4], [8, 1], [10, 2], [20, 1]], 'representations': {'PC': {'code': 3054351183749134378533984868703009, 'gens': [1, 3], 'pres': [5, -2, -5, -2, -2, -11, 10, 1106, 5252, 2782, 42, 5203, 3008, 58, 2004, 2009]}, 'GLZN': {'d': 2, 'p': 33, 'gens': [35962, 826574, 36037, 371744, 443772]}, 'Perm': {'d': 19, 'gens': [357001416583039, 12593, 756024112529280, 18619, 7469717690131200]}}, 'schur_multiplier': [], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 10], 'solvability_type': 6, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'C_{44}.C_{10}', 'transitive_degree': 88, 'wreath_data': None, 'wreath_product': False}