Query:
/api/gps_groups/?_offset=0
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '25.2', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 2, 'aut_exponent': 220, 'aut_gen_orders': [4, 10, 55], 'aut_gens': [[1, 5], [221, 215], [1, 30], [171, 5]], 'aut_group': '2200.be', 'aut_hash': 5423566900542061453, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 2200, 'aut_permdeg': 55, 'aut_perms': [12226001711740957332494291420347205500664200624928867057397804270252597119, 21380623329491755707246814222158942096854593139797491287705513071039010, 11760041042658743095807851379857316186348690980533990924553873088185543120], 'aut_phi_ratio': 11.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [5, 1, 4, 1], [5, 11, 5, 4], [11, 5, 2, 1], [55, 5, 8, 1]], 'aut_supersolvable': True, 'aut_tex': 'F_5\\times F_{11}', 'autcent_abelian': False, 'autcent_cyclic': False, 'autcent_exponent': 20, 'autcent_group': '20.3', 'autcent_hash': 3, 'autcent_nilpotent': False, 'autcent_order': 20, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': True, 'autcent_tex': 'F_5', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 110, 'autcentquo_group': '110.1', 'autcentquo_hash': 1, 'autcentquo_nilpotent': False, 'autcentquo_order': 110, 'autcentquo_solvable': True, 'autcentquo_supersolvable': True, 'autcentquo_tex': 'F_{11}', 'cc_stats': [[1, 1, 1], [5, 1, 4], [5, 11, 20], [11, 5, 2], [55, 5, 8]], 'center_label': '5.1', 'center_order': 5, 'central_product': True, 'central_quotient': '55.1', 'commutator_count': 1, 'commutator_label': '11.1', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['5.1', '5.1', '11.1'], 'composition_length': 3, 'conjugacy_classes_known': True, 'counter': 3, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [['5.1', 1], ['55.1', 1]], 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [5, 1, 4, 1], [5, 11, 4, 5], [11, 5, 2, 1], [55, 5, 8, 1]], 'element_repr_type': 'PC', 'elementary': 1, 'eulerian_function': 24, 'exponent': 55, 'exponents_of_order': [2, 1], 'factors_of_aut_order': [2, 5, 11], 'factors_of_order': [5, 11], 'faithful_reps': [[5, 0, 8]], 'familial': False, 'frattini_label': '1.1', 'frattini_quotient': '275.3', 'hash': 3, 'hyperelementary': 5, 'id': 146578, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 55, 'inner_gen_orders': [5, 11], 'inner_gens': [[1, 130], [151, 5]], 'inner_hash': 1, 'inner_nilpotent': False, 'inner_order': 55, 'inner_split': True, 'inner_tex': 'C_{11}:C_5', 'inner_used': [1, 2], 'irrC_degree': 5, 'irrQ_degree': 40, 'irrQ_dim': 40, 'irrR_degree': 10, 'irrep_stats': [[1, 25], [5, 10]], 'label': '275.3', 'linC_count': 8, 'linC_degree': 5, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': 14, 'linQ_degree_count': 5, 'linQ_dim': 14, 'linQ_dim_count': 5, 'linR_count': 4, 'linR_degree': 10, 'maximal_subgroups_known': True, 'metabelian': True, 'metacyclic': True, 'monomial': True, 'name': 'C55:C5', 'ngens': 3, 'nilpotency_class': -1, 'nilpotent': False, 'normal_counts': [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': 5, 'number_conjugacy_classes': 35, 'number_divisions': 9, 'number_normal_subgroups': 10, 'number_subgroup_autclasses': 8, 'number_subgroup_classes': 16, 'number_subgroups': 76, 'old_label': None, 'order': 275, 'order_factorization_type': 22, 'order_stats': [[1, 1], [5, 224], [11, 10], [55, 40]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': False, 'outer_exponent': 20, 'outer_gen_orders': [4, 10], 'outer_gen_pows': [0, 0], 'outer_gens': [[111, 215], [111, 230]], 'outer_group': '40.12', 'outer_hash': 12, 'outer_nilpotent': False, 'outer_order': 40, 'outer_permdeg': 7, 'outer_perms': [246, 1729], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'C_2\\times F_5', 'pc_rank': 2, 'perfect': False, 'permutation_degree': 16, 'pgroup': 0, 'primary_abelian_invariants': [5, 5], 'quasisimple': False, 'rank': 2, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 1], [4, 6], [10, 1], [40, 1]], 'representations': {'PC': {'code': 7304046339, 'gens': [1, 2], 'pres': [3, -5, -5, -11, 781, 34, 902]}, 'GLFp': {'d': 2, 'p': 11, 'gens': [1343, 3997, 5325]}, 'Perm': {'d': 16, 'gens': [100724642681, 68, 1496093004000]}}, 'schur_multiplier': [5], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [5, 5], 'solvability_type': 6, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'C_{55}:C_5', 'transitive_degree': 55, 'wreath_data': None, 'wreath_product': False}