Query:
/api/gps_groups/?_offset=0
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '30.4', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 3, 'aut_exponent': 60, 'aut_gen_orders': [3, 12, 2, 2, 12, 4, 2, 2], 'aut_gens': [[1037836800, 482630400, 1476921600, 1001548801, 50520, 81474308789], [1520467200, 1037836800, 1476921600, 1001548801, 50520, 81474308789], [482630400, 1520467200, 43545600, 69100018710, 172800, 75247342839], [1037836800, 482630400, 1476921600, 1001548801, 82080, 81474277229], [1037836800, 482630400, 958003200, 518918401, 50520, 81474308789], [482630400, 1520467200, 958003200, 518918401, 172800, 75247342840], [1037836800, 482630400, 1476921600, 1001548801, 172800, 81474363629], [1520467200, 482630400, 1001548800, 1476921601, 82080, 81474277229], [1037836800, 482630400, 562464000, 1440633601, 50520, 81474308789]], 'aut_group': '11520.ei', 'aut_hash': 1827323456663704710, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 11520, 'aut_permdeg': 22, 'aut_perms': [330122494879758720, 297685978604250367109, 513470917995044083200, 816726161187751712, 280381437785850511232, 258016122043938316800, 513593631440986603832, 1449138159261567512], 'aut_phi_ratio': 6.0, 'aut_solvable': False, 'aut_stats': [[1, 1, 1, 1], [2, 3, 1, 1], [2, 10, 1, 1], [2, 15, 1, 1], [2, 30, 1, 1], [2, 45, 1, 1], [3, 4, 2, 1], [3, 20, 1, 1], [3, 80, 2, 1], [4, 30, 1, 1], [4, 90, 1, 1], [5, 1, 4, 1], [5, 24, 1, 1], [5, 24, 4, 1], [6, 20, 1, 1], [6, 40, 2, 1], [6, 60, 1, 2], [6, 60, 2, 1], [6, 80, 2, 1], [10, 3, 4, 1], [10, 10, 4, 1], [10, 15, 4, 1], [10, 30, 4, 1], [10, 45, 4, 1], [10, 72, 1, 1], [10, 72, 4, 1], [12, 120, 2, 1], [15, 4, 8, 1], [15, 20, 4, 1], [15, 80, 8, 1], [15, 96, 2, 1], [15, 96, 8, 1], [20, 30, 4, 1], [20, 90, 4, 1], [30, 20, 4, 1], [30, 40, 8, 1], [30, 60, 4, 2], [30, 60, 8, 1], [30, 80, 8, 1], [60, 120, 8, 1]], 'aut_supersolvable': False, 'aut_tex': 'C_4\\times S_4\\times S_5', 'autcent_abelian': True, 'autcent_cyclic': True, 'autcent_exponent': 4, 'autcent_group': '4.1', 'autcent_hash': 1, 'autcent_nilpotent': True, 'autcent_order': 4, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': True, 'autcent_tex': 'C_4', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 60, 'autcentquo_group': '2880.dv', 'autcentquo_hash': 409072078557532110, 'autcentquo_nilpotent': False, 'autcentquo_order': 2880, 'autcentquo_solvable': False, 'autcentquo_supersolvable': False, 'autcentquo_tex': 'S_4\\times S_5', 'cc_stats': [[1, 1, 1], [2, 3, 1], [2, 10, 1], [2, 15, 1], [2, 30, 1], [2, 45, 1], [3, 4, 2], [3, 20, 1], [3, 80, 2], [4, 30, 1], [4, 90, 1], [5, 1, 4], [5, 24, 5], [6, 20, 1], [6, 40, 2], [6, 60, 4], [6, 80, 2], [10, 3, 4], [10, 10, 4], [10, 15, 4], [10, 30, 4], [10, 45, 4], [10, 72, 5], [12, 120, 2], [15, 4, 8], [15, 20, 4], [15, 80, 8], [15, 96, 10], [20, 30, 4], [20, 90, 4], [30, 20, 4], [30, 40, 8], [30, 60, 16], [30, 80, 8], [60, 120, 8]], 'center_label': '5.1', 'center_order': 5, 'central_product': True, 'central_quotient': '1440.5846', 'commutator_count': 1, 'commutator_label': '240.190', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '2.1', '3.1', '5.1', '60.5'], 'composition_length': 6, 'conjugacy_classes_known': True, 'counter': 82, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [['12.3', 1], ['120.34', 1], ['5.1', 1]], 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 3, 1, 1], [2, 10, 1, 1], [2, 15, 1, 1], [2, 30, 1, 1], [2, 45, 1, 1], [3, 4, 2, 1], [3, 20, 1, 1], [3, 80, 2, 1], [4, 30, 1, 1], [4, 90, 1, 1], [5, 1, 4, 1], [5, 24, 1, 1], [5, 24, 4, 1], [6, 20, 1, 1], [6, 40, 2, 1], [6, 60, 1, 2], [6, 60, 2, 1], [6, 80, 2, 1], [10, 3, 4, 1], [10, 10, 4, 1], [10, 15, 4, 1], [10, 30, 4, 1], [10, 45, 4, 1], [10, 72, 1, 1], [10, 72, 4, 1], [12, 120, 2, 1], [15, 4, 8, 1], [15, 20, 4, 1], [15, 80, 8, 1], [15, 96, 2, 1], [15, 96, 8, 1], [20, 30, 4, 1], [20, 90, 4, 1], [30, 20, 4, 1], [30, 40, 8, 1], [30, 60, 4, 2], [30, 60, 8, 1], [30, 80, 8, 1], [60, 120, 8, 1]], 'element_repr_type': 'Perm', 'elementary': 1, 'eulerian_function': 1368, 'exponent': 60, 'exponents_of_order': [5, 2, 2], 'factors_of_aut_order': [2, 3, 5], 'factors_of_order': [2, 3, 5], 'faithful_reps': [[12, 0, 8], [15, 0, 8], [18, 0, 4]], 'familial': False, 'frattini_label': '1.1', 'frattini_quotient': '7200.dd', 'hash': 2899273163031768283, 'hyperelementary': 1, 'id': 499828, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 60, 'inner_gen_orders': [2, 2, 3, 6, 1, 6], 'inner_gens': [[1037836800, 482630400, 958003200, 518918401, 50520, 81474308789], [1037836800, 482630400, 43545600, 79833601, 50520, 81474308789], [1520467200, 1037836800, 1476921600, 1001548801, 50520, 81474308789], [482630400, 1520467200, 1476921600, 1001548801, 50520, 75247287988], [1037836800, 482630400, 1476921600, 1001548801, 50520, 81474308789], [1037836800, 482630400, 1476921600, 1001548806, 50520, 81474308789]], 'inner_hash': 5846, 'inner_nilpotent': False, 'inner_order': 1440, 'inner_split': True, 'inner_tex': 'A_4\\times S_5', 'inner_used': [1, 2, 3, 4, 6], 'irrC_degree': 12, 'irrQ_degree': 48, 'irrQ_dim': 48, 'irrR_degree': 24, 'irrep_stats': [[1, 30], [3, 10], [4, 30], [5, 30], [6, 15], [12, 10], [15, 10], [18, 5]], 'label': '7200.dd', 'linC_count': 288, 'linC_degree': 7, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': 11, 'linQ_degree_count': 8, 'linQ_dim': 11, 'linQ_dim_count': 8, 'linR_count': 48, 'linR_degree': 9, 'maximal_subgroups_known': True, 'metabelian': False, 'metacyclic': False, 'monomial': False, 'name': 'C5*A4*S5', 'ngens': 6, '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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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': 42, 'number_characteristic_subgroups': 18, 'number_conjugacy_classes': 140, 'number_divisions': 42, 'number_normal_subgroups': 18, 'number_subgroup_autclasses': 293, 'number_subgroup_classes': 297, 'number_subgroups': 7316, 'old_label': None, 'order': 7200, 'order_factorization_type': 321, 'order_stats': [[1, 1], [2, 103], [3, 188], [4, 120], [5, 124], [6, 500], [10, 772], [12, 240], [15, 1712], [20, 480], [30, 2000], [60, 960]], 'outer_abelian': True, 'outer_cyclic': False, 'outer_equivalence': False, 'outer_exponent': 4, 'outer_gen_orders': [2, 4], 'outer_gen_pows': [0, 0], 'outer_gens': [[1520467200, 482630400, 1001548800, 1476921601, 82080, 81474277229], [1037836800, 482630400, 1476921600, 1001548801, 172800, 81474363629]], 'outer_group': '8.2', 'outer_hash': 2, 'outer_nilpotent': True, 'outer_order': 8, 'outer_permdeg': 6, 'outer_perms': [120, 9], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'C_2\\times C_4', 'pc_rank': None, 'perfect': False, 'permutation_degree': 14, 'pgroup': 0, 'primary_abelian_invariants': [2, 3, 5], 'quasisimple': False, 'rank': 2, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 2], [2, 2], [3, 2], [4, 4], [5, 2], [6, 1], [8, 4], [10, 2], [12, 5], [15, 2], [16, 2], [18, 1], [20, 2], [24, 1], [32, 2], [40, 2], [48, 3], [60, 2], [72, 1]], 'representations': {'Perm': {'d': 14, 'gens': [1037836800, 482630400, 1476921600, 1001548801, 50520, 81474308789]}}, 'schur_multiplier': [2, 2], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [30], 'solvability_type': 13, 'solvable': False, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': False, 'sylow_subgroups_known': True, 'tex_name': 'C_5\\times A_4\\times S_5', 'transitive_degree': 100, 'wreath_data': None, 'wreath_product': False}