Query:
/api/gps_groups/?_offset=0
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '10.2', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 3, 'aut_exponent': 12, 'aut_gen_orders': [2, 2, 12, 2, 2], 'aut_gens': [[93811, 493131, 804384], [175277, 431381, 804384], [860493, 493131, 804384], [233493, 493131, 863968], [175277, 236057, 804384], [93811, 193929, 804384]], 'aut_group': '192.1469', 'aut_hash': 1469, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 192, 'aut_permdeg': 10, 'aut_perms': [40320, 1, 45510, 367920, 1174320], 'aut_phi_ratio': 3.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [3, 8, 1, 1], [4, 6, 1, 1], [4, 12, 1, 1], [5, 1, 4, 1], [6, 8, 1, 1], [8, 6, 2, 1], [10, 1, 4, 1], [15, 8, 4, 1], [20, 6, 4, 1], [20, 12, 4, 1], [30, 8, 4, 1], [40, 6, 8, 1]], 'aut_supersolvable': False, 'aut_tex': 'C_2^4.D_6', 'autcent_abelian': True, 'autcent_cyclic': False, 'autcent_exponent': 4, 'autcent_group': '8.2', 'autcent_hash': 2, 'autcent_nilpotent': True, 'autcent_order': 8, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': True, 'autcent_tex': 'C_2\\times C_4', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 12, 'autcentquo_group': '24.12', 'autcentquo_hash': 12, 'autcentquo_nilpotent': False, 'autcentquo_order': 24, 'autcentquo_solvable': True, 'autcentquo_supersolvable': False, 'autcentquo_tex': 'S_4', 'cc_stats': [[1, 1, 1], [2, 1, 1], [3, 8, 1], [4, 6, 1], [4, 12, 1], [5, 1, 4], [6, 8, 1], [8, 6, 2], [10, 1, 4], [15, 8, 4], [20, 6, 4], [20, 12, 4], [30, 8, 4], [40, 6, 8]], 'center_label': '10.2', 'center_order': 10, 'central_product': True, 'central_quotient': '24.12', 'commutator_count': 1, 'commutator_label': '24.3', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '2.1', '2.1', '3.1', '5.1'], 'composition_length': 6, 'conjugacy_classes_known': True, 'counter': 102, 'cyclic': False, 'derived_length': 4, 'dihedral': False, 'direct_factorization': [['48.28', 1], ['5.1', 1]], 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [3, 8, 1, 1], [4, 6, 1, 1], [4, 12, 1, 1], [5, 1, 4, 1], [6, 8, 1, 1], [8, 6, 2, 1], [10, 1, 4, 1], [15, 8, 4, 1], [20, 6, 4, 1], [20, 12, 4, 1], [30, 8, 4, 1], [40, 6, 8, 1]], 'element_repr_type': 'GLFp', 'elementary': 1, 'eulerian_function': 108, 'exponent': 120, 'exponents_of_order': [4, 1, 1], 'factors_of_aut_order': [2, 3], 'factors_of_order': [2, 3, 5], 'faithful_reps': [[2, 0, 8], [4, 0, 4]], 'familial': False, 'frattini_label': '2.1', 'frattini_quotient': '120.37', 'hash': 102, 'hyperelementary': 1, 'id': 144358, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 12, 'inner_gen_orders': [4, 3, 1], 'inner_gens': [[93811, 922095, 804384], [233493, 493131, 804384], [93811, 493131, 804384]], 'inner_hash': 12, 'inner_nilpotent': False, 'inner_order': 24, 'inner_split': True, 'inner_tex': 'S_4', 'inner_used': [1, 2], 'irrC_degree': 2, 'irrQ_degree': 16, 'irrQ_dim': 16, 'irrR_degree': 4, 'irrep_stats': [[1, 10], [2, 15], [3, 10], [4, 5]], 'label': '240.102', 'linC_count': 8, 'linC_degree': 2, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': 8, 'linQ_degree_count': 4, 'linQ_dim': 12, 'linQ_dim_count': 4, 'linR_count': 4, 'linR_degree': 4, 'maximal_subgroups_known': True, 'metabelian': False, 'metacyclic': False, 'monomial': False, 'name': 'C10.S4', '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': 14, 'number_characteristic_subgroups': 10, 'number_conjugacy_classes': 40, 'number_divisions': 14, 'number_normal_subgroups': 10, 'number_subgroup_autclasses': 26, 'number_subgroup_classes': 26, 'number_subgroups': 70, 'old_label': None, 'order': 240, 'order_factorization_type': 311, 'order_stats': [[1, 1], [2, 1], [3, 8], [4, 18], [5, 4], [6, 8], [8, 12], [10, 4], [15, 32], [20, 72], [30, 32], [40, 48]], 'outer_abelian': True, 'outer_cyclic': False, 'outer_equivalence': False, 'outer_exponent': 4, 'outer_gen_orders': [2, 4], 'outer_gen_pows': [29792, 29792], 'outer_gens': [[860493, 493131, 804384], [93811, 493131, 863968]], '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': 4, 'perfect': False, 'permutation_degree': 21, 'pgroup': 0, 'primary_abelian_invariants': [2, 5], 'quasisimple': False, 'rank': 2, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 2], [2, 1], [3, 2], [4, 4], [8, 1], [12, 2], [16, 2]], 'representations': {'PC': {'code': 80709308904830168126992709308675, 'gens': [1, 2, 3, 4], 'pres': [6, -2, -3, -2, 2, -2, -5, 720, 49, 3350, 548, 374, 3171, 225, 543, 69, 88]}, 'GLFp': {'d': 2, 'p': 31, 'gens': [93811, 493131, 804384]}, 'Perm': {'d': 21, 'gens': [2824580909745750960, 33, 40600003817853360, 5374589565653728560, 7952930666349143040, 10514844129330747360]}}, 'schur_multiplier': [], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [10], 'solvability_type': 12, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': False, 'sylow_subgroups_known': True, 'tex_name': 'C_{10}.S_4', 'transitive_degree': 80, 'wreath_data': None, 'wreath_product': False}