Query:
/api/gps_groups/?_offset=0
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '6.2', '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, 2, 2, 3, 2, 2, 2, 2], 'aut_gens': [[1260240, 3, 1458024, 1860720, 85944, 4578600, 8799984, 12822720], [11452464, 3, 1301760, 1860720, 1946280, 26910720, 9525600, 12822720], [1260240, 4, 1458024, 1860720, 85944, 4578600, 8799984, 12822720], [11654040, 3, 1458024, 1860720, 85944, 4578600, 8799984, 12822720], [11654040, 4, 1458024, 1860720, 85944, 21976560, 15972624, 12822720], [1988040, 3, 1623024, 1946280, 1860720, 8799984, 26349864, 12822720], [25901424, 3, 7753704, 11329920, 85944, 21936504, 8799984, 12822720], [27682104, 3, 18205920, 1860720, 12782280, 21936504, 16698240, 12822720], [364560, 3, 2388984, 1860720, 85944, 4578600, 16698240, 12822720], [364560, 3, 1623024, 1860720, 85944, 21936504, 8799984, 12822720]], 'aut_group': '768.1089108', 'aut_hash': 1089108, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 768, 'aut_permdeg': 26, 'aut_perms': [84685537159200051118525479, 355687428096000, 294709156553545243827493313, 294462946665049326174706305, 29637533914014157580655163, 168259688421391000129308221, 43448682740438859031410621, 62887847007794877065054942, 75310345805869393922721437], 'aut_phi_ratio': 4.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 6, 1, 1], [2, 12, 1, 1], [2, 24, 1, 1], [3, 1, 2, 1], [3, 32, 1, 1], [3, 32, 2, 1], [4, 6, 2, 1], [4, 12, 2, 1], [6, 1, 2, 1], [6, 6, 2, 1], [6, 12, 2, 1], [6, 24, 2, 1], [6, 32, 1, 1], [6, 32, 2, 1], [8, 24, 2, 1], [12, 6, 4, 1], [12, 12, 4, 1], [24, 24, 4, 1]], 'aut_supersolvable': False, 'aut_tex': 'C_2^5:S_4', 'autcent_abelian': True, 'autcent_cyclic': False, 'autcent_exponent': 2, 'autcent_group': '4.2', 'autcent_hash': 2, 'autcent_nilpotent': True, 'autcent_order': 4, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': True, 'autcent_tex': 'C_2^2', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 12, 'autcentquo_group': '192.955', 'autcentquo_hash': 955, 'autcentquo_nilpotent': False, 'autcentquo_order': 192, 'autcentquo_solvable': True, 'autcentquo_supersolvable': False, 'autcentquo_tex': 'C_2^3:S_4', 'cc_stats': [[1, 1, 1], [2, 1, 1], [2, 6, 1], [2, 12, 1], [2, 24, 1], [3, 1, 2], [3, 32, 3], [4, 6, 2], [4, 12, 2], [6, 1, 2], [6, 6, 2], [6, 12, 2], [6, 24, 2], [6, 32, 3], [8, 24, 2], [12, 6, 4], [12, 12, 4], [24, 24, 4]], 'center_label': '6.2', 'center_order': 6, 'central_product': True, 'central_quotient': '96.227', 'commutator_count': 1, 'commutator_label': '96.204', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '3.1', '3.1'], 'composition_length': 8, 'conjugacy_classes_known': True, 'counter': 8480, 'cyclic': False, 'derived_length': 4, 'dihedral': False, 'direct_factorization': [['192.1494', 1], ['3.1', 1]], 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 6, 1, 1], [2, 12, 1, 1], [2, 24, 1, 1], [3, 1, 2, 1], [3, 32, 1, 1], [3, 32, 2, 1], [4, 6, 1, 2], [4, 12, 1, 2], [6, 1, 2, 1], [6, 6, 2, 1], [6, 12, 2, 1], [6, 24, 2, 1], [6, 32, 1, 1], [6, 32, 2, 1], [8, 24, 1, 2], [12, 6, 2, 2], [12, 12, 2, 2], [24, 24, 2, 2]], 'element_repr_type': 'Perm', 'elementary': 1, 'eulerian_function': 72, 'exponent': 24, 'exponents_of_order': [6, 2], 'factors_of_aut_order': [2, 3], 'factors_of_order': [2, 3], 'faithful_reps': [[4, 0, 4], [8, 0, 2]], 'familial': False, 'frattini_label': '2.1', 'frattini_quotient': '288.1035', 'hash': 8480, 'hyperelementary': 1, 'id': 319882, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 12, 'inner_gen_orders': [2, 1, 3, 2, 2, 2, 2, 1], 'inner_gens': [[1260240, 3, 491040, 85944, 1860720, 16698240, 21936504, 12822720], [1260240, 3, 1458024, 1860720, 85944, 4578600, 8799984, 12822720], [2309304, 3, 1458024, 85944, 1946280, 19658424, 4578600, 12822720], [364560, 3, 1623024, 1860720, 85944, 21936504, 8799984, 12822720], [364560, 3, 2388984, 1860720, 85944, 4578600, 16698240, 12822720], [25901424, 3, 15086184, 11329920, 85944, 4578600, 16698240, 12822720], [20061360, 3, 25458744, 1860720, 12782280, 21936504, 8799984, 12822720], [1260240, 3, 1458024, 1860720, 85944, 4578600, 8799984, 12822720]], 'inner_hash': 227, 'inner_nilpotent': False, 'inner_order': 96, 'inner_split': True, 'inner_tex': 'C_2^2:S_4', 'inner_used': [1, 3, 4, 6], 'irrC_degree': 4, 'irrQ_degree': 8, 'irrQ_dim': 8, 'irrR_degree': 8, 'irrep_stats': [[1, 6], [2, 3], [3, 18], [4, 6], [6, 3], [8, 3]], 'label': '576.8480', 'linC_count': 4, 'linC_degree': 4, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': 6, 'linQ_degree_count': 4, 'linQ_dim': 6, 'linQ_dim_count': 4, 'linR_count': 4, 'linR_degree': 6, 'maximal_subgroups_known': True, 'metabelian': False, 'metacyclic': False, 'monomial': True, 'name': 'C3*Q8:S4', 'ngens': 8, '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], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 20, 'number_characteristic_subgroups': 12, 'number_conjugacy_classes': 39, 'number_divisions': 26, 'number_normal_subgroups': 16, 'number_subgroup_autclasses': 126, 'number_subgroup_classes': 167, 'number_subgroups': 1068, 'old_label': None, 'order': 576, 'order_factorization_type': 32, 'order_stats': [[1, 1], [2, 43], [3, 98], [4, 36], [6, 182], [8, 48], [12, 72], [24, 96]], 'outer_abelian': True, 'outer_cyclic': False, 'outer_equivalence': False, 'outer_exponent': 2, 'outer_gen_orders': [2, 2, 2], 'outer_gen_pows': [0, 0, 0], 'outer_gens': [[1260240, 3, 1458024, 1860720, 85944, 21976560, 15972624, 12822720], [1260240, 4, 1458024, 1860720, 85944, 21976560, 15972624, 12822720], [11654040, 3, 1458024, 1860720, 85944, 4578600, 8799984, 12822720]], 'outer_group': '8.5', 'outer_hash': 5, 'outer_nilpotent': True, 'outer_order': 8, 'outer_permdeg': 6, 'outer_perms': [1, 6, 120], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'C_2^3', 'pc_rank': 6, 'perfect': False, 'permutation_degree': 11, 'pgroup': 0, 'primary_abelian_invariants': [2, 3], 'quasisimple': False, 'rank': 2, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 2], [2, 3], [3, 6], [4, 3], [6, 7], [8, 3], [12, 1], [16, 1]], 'representations': {'PC': {'code': 13538381408781810608177528349728246827683016191056, 'gens': [1, 2, 3, 5, 6, 8], 'pres': [8, 2, 3, 2, 3, 2, 2, 2, 2, 65, 3602, 1162, 66, 411, 9732, 11237, 2173, 1749, 325, 141, 29959, 3471, 4631]}, 'GLZ': {'b': 3, 'd': 6, 'gens': [125101736460791671, 108470307958634217]}, 'Perm': {'d': 11, 'gens': [1260240, 3, 1458024, 1860720, 85944, 4578600, 8799984, 12822720]}}, 'schur_multiplier': [2, 2], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [6], 'solvability_type': 11, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': False, 'sylow_subgroups_known': True, 'tex_name': 'C_3\\times Q_8:S_4', 'transitive_degree': 24, 'wreath_data': None, 'wreath_product': False}