Query:
/api/gps_groups/?_offset=0
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '2.1', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 1, 'aut_exponent': 60, 'aut_gen_orders': [3, 4, 2], 'aut_gens': [[131, 151, 501], [295, 47, 120], [141, 568, 516], [499, 226, 229]], 'aut_group': '240.189', 'aut_hash': 189, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 240, 'aut_permdeg': 7, 'aut_perms': [1110, 360, 415], 'aut_phi_ratio': 3.75, 'aut_solvable': False, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 30, 1, 1], [3, 20, 1, 1], [4, 1, 2, 1], [4, 30, 1, 1], [5, 12, 2, 1], [6, 20, 1, 1], [10, 12, 2, 1], [12, 20, 2, 1], [20, 12, 4, 1]], 'aut_supersolvable': False, 'aut_tex': 'C_2\\times S_5', 'autcent_abelian': True, 'autcent_cyclic': True, 'autcent_exponent': 2, 'autcent_group': '2.1', 'autcent_hash': 1, 'autcent_nilpotent': True, 'autcent_order': 2, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': True, 'autcent_tex': 'C_2', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 60, 'autcentquo_group': '120.34', 'autcentquo_hash': 34, 'autcentquo_nilpotent': False, 'autcentquo_order': 120, 'autcentquo_solvable': False, 'autcentquo_supersolvable': False, 'autcentquo_tex': 'S_5', 'cc_stats': [[1, 1, 1], [2, 1, 1], [2, 30, 1], [3, 20, 1], [4, 1, 2], [4, 30, 1], [5, 12, 2], [6, 20, 1], [10, 12, 2], [12, 20, 2], [20, 12, 4]], 'center_label': '4.1', 'center_order': 4, 'central_product': True, 'central_quotient': '60.5', 'commutator_count': 1, 'commutator_label': '120.5', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '60.5'], 'composition_length': 3, 'conjugacy_classes_known': True, 'counter': 93, 'cyclic': False, 'derived_length': 1, 'dihedral': False, 'direct_factorization': [], 'direct_product': False, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 30, 1, 1], [3, 20, 1, 1], [4, 1, 2, 1], [4, 30, 1, 1], [5, 12, 2, 1], [6, 20, 1, 1], [10, 12, 2, 1], [12, 20, 2, 1], [20, 12, 4, 1]], 'element_repr_type': 'GLFp', 'elementary': 1, 'eulerian_function': 114, 'exponent': 60, 'exponents_of_order': [4, 1, 1], 'factors_of_aut_order': [2, 3, 5], 'factors_of_order': [2, 3, 5], 'faithful_reps': [[2, 0, 4], [4, 0, 2], [6, 0, 2]], 'familial': False, 'frattini_label': '2.1', 'frattini_quotient': '120.35', 'hash': 93, 'hyperelementary': 1, 'id': 144488, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 30, 'inner_gen_orders': [5, 5, 2], 'inner_gens': [[131, 295, 511], [107, 151, 576], [146, 226, 501]], 'inner_hash': 5, 'inner_nilpotent': False, 'inner_order': 60, 'inner_split': True, 'inner_tex': 'A_5', 'inner_used': [1, 2], 'irrC_degree': 2, 'irrQ_degree': 8, 'irrQ_dim': 8, 'irrR_degree': 4, 'irrep_stats': [[1, 2], [2, 4], [3, 4], [4, 4], [5, 2], [6, 2]], 'label': '240.93', 'linC_count': 4, 'linC_degree': 2, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': 8, 'linQ_degree_count': 2, 'linQ_dim': 8, 'linQ_dim_count': 2, 'linR_count': 2, 'linR_degree': 4, 'maximal_subgroups_known': True, 'metabelian': False, 'metacyclic': False, 'monomial': False, 'name': 'SL(2,5):C2', 'ngens': 3, '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, 0, 0], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 11, 'number_characteristic_subgroups': 5, 'number_conjugacy_classes': 18, 'number_divisions': 11, 'number_normal_subgroups': 5, 'number_subgroup_autclasses': 28, 'number_subgroup_classes': 30, 'number_subgroups': 243, 'old_label': None, 'order': 240, 'order_factorization_type': 311, 'order_stats': [[1, 1], [2, 31], [3, 20], [4, 32], [5, 24], [6, 20], [10, 24], [12, 40], [20, 48]], 'outer_abelian': True, 'outer_cyclic': False, 'outer_equivalence': False, 'outer_exponent': 2, 'outer_gen_orders': [2, 2], 'outer_gen_pows': [126, 126], 'outer_gens': [[464, 444, 30], [131, 151, 129]], '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': None, 'perfect': False, 'permutation_degree': 24, 'pgroup': 0, 'primary_abelian_invariants': [2], 'quasisimple': False, 'rank': 2, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 2], [4, 2], [5, 2], [6, 2], [8, 2], [12, 1]], 'representations': {'GLFp': {'d': 2, 'p': 5, 'gens': [131, 151, 501]}, 'Perm': {'d': 24, 'gens': [18038489185576105158077, 493821827582616511657230]}}, 'schur_multiplier': [], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2], 'solvability_type': 13, 'solvable': False, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': False, 'sylow_subgroups_known': True, 'tex_name': '\\SL(2,5):C_2', 'transitive_degree': 24, 'wreath_data': None, 'wreath_product': False}