Query:
/api/gps_groups/?_offset=0
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'abelian_quotient': '80.2', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': True, 'aut_cyclic': False, 'aut_derived_length': 1, 'aut_exponent': 4, 'aut_gen_orders': [2, 4, 4], 'aut_gens': [[1], [71], [21], [17]], 'aut_group': '32.21', 'aut_hash': 21, 'aut_nilpotency_class': 1, 'aut_nilpotent': True, 'aut_order': 32, 'aut_permdeg': 10, 'aut_perms': [362880, 368760, 9], 'aut_phi_ratio': 1.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [4, 1, 2, 1], [5, 1, 4, 1], [8, 1, 4, 1], [10, 1, 4, 1], [16, 1, 8, 1], [20, 1, 8, 1], [40, 1, 16, 1], [80, 1, 32, 1]], 'aut_supersolvable': True, 'aut_tex': 'C_2\\times C_4^2', 'autcent_abelian': True, 'autcent_cyclic': False, 'autcent_exponent': 4, 'autcent_group': '32.21', 'autcent_hash': 21, 'autcent_nilpotent': True, 'autcent_order': 32, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': True, 'autcent_tex': 'C_2\\times C_4^2', '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], [4, 1, 2], [5, 1, 4], [8, 1, 4], [10, 1, 4], [16, 1, 8], [20, 1, 8], [40, 1, 16], [80, 1, 32]], 'center_label': '80.2', 'center_order': 80, 'central_product': True, 'central_quotient': '1.1', 'commutator_count': 0, 'commutator_label': '1.1', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '2.1', '2.1', '5.1'], 'composition_length': 5, 'conjugacy_classes_known': True, 'counter': 2, 'cyclic': True, 'derived_length': 1, 'dihedral': False, 'direct_factorization': [['16.1', 1], ['5.1', 1]], 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [4, 1, 2, 1], [5, 1, 4, 1], [8, 1, 4, 1], [10, 1, 4, 1], [16, 1, 8, 1], [20, 1, 8, 1], [40, 1, 16, 1], [80, 1, 32, 1]], 'element_repr_type': 'PC', 'elementary': 10, 'eulerian_function': 1, 'exponent': 80, 'exponents_of_order': [4, 1], 'factors_of_aut_order': [2], 'factors_of_order': [2, 5], 'faithful_reps': [[1, 0, 32]], 'familial': True, 'frattini_label': '8.1', 'frattini_quotient': '10.2', 'hash': 2, 'hyperelementary': 10, 'id': 158838, 'inner_abelian': True, 'inner_cyclic': True, 'inner_exponent': 1, 'inner_gen_orders': [1], 'inner_gens': [[1]], 'inner_hash': 1, 'inner_nilpotent': True, 'inner_order': 1, 'inner_split': True, 'inner_tex': 'C_1', 'inner_used': [], 'irrC_degree': 1, 'irrQ_degree': 32, 'irrQ_dim': 32, 'irrR_degree': 2, 'irrep_stats': [[1, 80]], 'label': '80.2', 'linC_count': 32, 'linC_degree': 1, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': 12, 'linQ_degree_count': 2, 'linQ_dim': 12, 'linQ_dim_count': 2, 'linR_count': 16, 'linR_degree': 2, 'maximal_subgroups_known': True, 'metabelian': True, 'metacyclic': True, 'monomial': True, 'name': 'C80', 'ngens': 5, 'nilpotency_class': 1, 'nilpotent': True, 'normal_counts': [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': 10, 'number_characteristic_subgroups': 10, 'number_conjugacy_classes': 80, 'number_divisions': 10, 'number_normal_subgroups': 10, 'number_subgroup_autclasses': 10, 'number_subgroup_classes': 10, 'number_subgroups': 10, 'old_label': None, 'order': 80, 'order_factorization_type': 31, 'order_stats': [[1, 1], [2, 1], [4, 2], [5, 4], [8, 4], [10, 4], [16, 8], [20, 8], [40, 16], [80, 32]], 'outer_abelian': True, 'outer_cyclic': False, 'outer_equivalence': False, 'outer_exponent': 4, 'outer_gen_orders': [2, 4, 4], 'outer_gen_pows': [0, 0, 0], 'outer_gens': [[71], [21], [17]], 'outer_group': '32.21', 'outer_hash': 21, 'outer_nilpotent': True, 'outer_order': 32, 'outer_permdeg': 10, 'outer_perms': [362880, 368760, 9], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'C_2\\times C_4^2', 'pc_rank': 1, 'perfect': False, 'permutation_degree': 21, 'pgroup': 0, 'primary_abelian_invariants': [16, 5], 'quasisimple': False, 'rank': 1, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 2], [2, 1], [4, 3], [8, 2], [16, 1], [32, 1]], 'representations': {'PC': {'code': 9140562836483, 'gens': [1], 'pres': [5, -2, -2, -2, -2, -5, 10, 26, 42, 58]}, 'GLFp': {'d': 2, 'p': 31, 'gens': [528784]}, 'Perm': {'d': 21, 'gens': [38277836852935680000, 96, 17787216907833246720, 7542061610582953440, 2439325392333218640]}}, 'schur_multiplier': [], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [80], 'solvability_type': 0, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'C_{80}', 'transitive_degree': 80, 'wreath_data': None, 'wreath_product': False}