Query:
/api/gps_groups/?_offset=0
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '8.5', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 2, 'aut_exponent': 12, 'aut_gen_orders': [2, 6, 4, 2, 2, 2, 2, 2], 'aut_gens': [[1, 2, 4, 8], [1, 6, 4, 44], [1, 130, 4, 56], [145, 146, 4, 8], [1, 98, 4, 8], [1, 2, 4, 104], [101, 2, 4, 8], [1, 102, 4, 8], [1, 2, 4, 108]], 'aut_group': '1536.408526564', 'aut_hash': 2190503797443622913, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 1536, 'aut_permdeg': 28, 'aut_perms': [6884318687121917875590713660, 10112480443217920581311081358, 153143476263681772916287306224, 1226006090861145371708688305, 1888321222670397330983406, 147746381197350296736037960705, 6065712767478998235003897601, 12436664447991324791474166], 'aut_phi_ratio': 24.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 3], [2, 4, 2, 1], [2, 8, 1, 1], [2, 24, 1, 1], [3, 2, 1, 1], [4, 2, 1, 2], [4, 6, 2, 1], [4, 12, 1, 1], [4, 12, 2, 1], [6, 2, 1, 3], [6, 8, 2, 2], [8, 4, 2, 1], [8, 12, 2, 1], [12, 4, 1, 2], [24, 4, 4, 1]], 'aut_supersolvable': True, 'aut_tex': 'C_2^5\\times S_3\\times D_4', 'autcent_abelian': True, 'autcent_cyclic': False, 'autcent_exponent': 2, 'autcent_group': '64.267', 'autcent_hash': 267, 'autcent_nilpotent': True, 'autcent_order': 64, 'autcent_solvable': True, 'autcent_split': False, 'autcent_supersolvable': True, 'autcent_tex': 'C_2^6', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 6, 'autcentquo_group': '24.14', 'autcentquo_hash': 14, 'autcentquo_nilpotent': False, 'autcentquo_order': 24, 'autcentquo_solvable': True, 'autcentquo_supersolvable': True, 'autcentquo_tex': 'C_2\\times D_6', 'cc_stats': [[1, 1, 1], [2, 1, 3], [2, 4, 2], [2, 8, 1], [2, 24, 1], [3, 2, 1], [4, 2, 2], [4, 6, 2], [4, 12, 3], [6, 2, 3], [6, 8, 4], [8, 4, 2], [8, 12, 2], [12, 4, 2], [24, 4, 4]], 'center_label': '4.2', 'center_order': 4, 'central_product': False, 'central_quotient': '48.38', 'commutator_count': 1, 'commutator_label': '24.9', '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'], 'composition_length': 7, 'conjugacy_classes_known': True, 'counter': 709, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [], 'direct_product': False, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 3], [2, 4, 1, 2], [2, 8, 1, 1], [2, 24, 1, 1], [3, 2, 1, 1], [4, 2, 1, 2], [4, 6, 1, 2], [4, 12, 1, 1], [4, 12, 2, 1], [6, 2, 1, 3], [6, 8, 1, 2], [6, 8, 2, 1], [8, 4, 2, 1], [8, 12, 2, 1], [12, 4, 1, 2], [24, 4, 4, 1]], 'element_repr_type': 'PC', 'elementary': 1, 'eulerian_function': 1344, 'exponent': 24, 'exponents_of_order': [6, 1], 'factors_of_aut_order': [2, 3], 'factors_of_order': [2, 3], 'faithful_reps': [], 'familial': False, 'frattini_label': '8.2', 'frattini_quotient': '24.14', 'hash': 709, 'hyperelementary': 2, 'id': 48299, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 12, 'inner_gen_orders': [2, 2, 1, 12], 'inner_gens': [[1, 102, 4, 56], [101, 2, 4, 92], [1, 2, 4, 8], [145, 118, 4, 8]], 'inner_hash': 38, 'inner_nilpotent': False, 'inner_order': 48, 'inner_split': None, 'inner_tex': 'S_3\\times D_4', 'inner_used': [1, 2, 4], 'irrC_degree': -1, 'irrQ_degree': -1, 'irrQ_dim': -1, 'irrR_degree': -1, 'irrep_stats': [[1, 8], [2, 18], [4, 7]], 'label': '192.709', 'linC_count': 16, 'linC_degree': 4, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': 8, 'linQ_degree_count': 33, 'linQ_dim': 8, 'linQ_dim_count': 30, 'linR_count': 44, 'linR_degree': 6, 'maximal_subgroups_known': True, 'metabelian': True, 'metacyclic': False, 'monomial': True, 'name': '(C6*D8):C2', 'ngens': 7, 'nilpotency_class': -1, 'nilpotent': False, 'normal_counts': [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': 23, 'number_characteristic_subgroups': 37, 'number_conjugacy_classes': 33, 'number_divisions': 26, 'number_normal_subgroups': 43, 'number_subgroup_autclasses': 122, 'number_subgroup_classes': 140, 'number_subgroups': 488, 'old_label': None, 'order': 192, 'order_factorization_type': 51, 'order_stats': [[1, 1], [2, 43], [3, 2], [4, 52], [6, 38], [8, 32], [12, 8], [24, 16]], 'outer_abelian': True, 'outer_cyclic': False, 'outer_equivalence': False, 'outer_exponent': 2, 'outer_gen_orders': [2, 2, 2, 2, 2], 'outer_gen_pows': [0, 128, 0, 0, 0], 'outer_gens': [[1, 6, 4, 44], [1, 130, 4, 56], [1, 98, 4, 8], [1, 2, 4, 104], [1, 2, 4, 108]], 'outer_group': '32.51', 'outer_hash': 51, 'outer_nilpotent': True, 'outer_order': 32, 'outer_permdeg': 32, 'outer_perms': [8268006134483471090534387030712055, 18039407839642861297471342357862490, 25800370530587942898689410161493564, 34831058879420281178374747776878040, 51560119652125998138406198797946320], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'C_2^5', 'pc_rank': 4, 'perfect': False, 'permutation_degree': 15, 'pgroup': 0, 'primary_abelian_invariants': [2, 2, 2], 'quasisimple': False, 'rank': 3, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 8], [2, 8], [4, 8], [8, 2]], 'representations': {'PC': {'code': 6155900470307107658232449055745, 'gens': [1, 2, 3, 4], 'pres': [7, -2, -2, -2, 2, -2, -2, -3, 1429, 1571, 1298, 80, 3924, 3091, 102, 3372, 124, 3149]}, 'GLZN': {'d': 2, 'p': 28, 'gens': [285389, 476917, 438209, 21965, 574814, 27658, 130895]}, 'Perm': {'d': 15, 'gens': [93884676480, 5356, 87657295613, 13307, 186810624000, 19342, 3991680]}}, 'schur_multiplier': [2, 2, 2], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 2, 2], 'solvability_type': 7, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': '(C_6\\times D_8):C_2', 'transitive_degree': 96, 'wreath_data': None, 'wreath_product': False}