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': 3, 'aut_exponent': 24, 'aut_gen_orders': [8, 8, 6, 4, 4], 'aut_gens': [[1, 2, 16, 96], [549, 370, 144, 544], [301, 66, 112, 352], [97, 70, 176, 96], [9, 274, 176, 160], [77, 454, 240, 352]], 'aut_group': None, 'aut_hash': 307816269953595676, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 2304, 'aut_permdeg': 96, 'aut_perms': [695837472746545833767828856352007529324947448835107073740090150263565778836094278511304392858838230745625297688531381355084729074012812751981856035939, 820215115426975117330292345556029833764445910813517733648307883741468589190444520469877147468143365237449962253213635399155769238724733910948542295151, 718308900806127802925538720991764470563853417488678504085687346070842463242870876296231115285365625065603320188880342206136307323529876980944392178073, 473493673910231955337993976624786760755494564829165462666426178039194769867304735019187951922391026427062669722350045371012051657346167844245881190214, 147305437697979690970967439058864190458579679074668243473956070445592632594826551179640662368342846314394668658132263399827187241976622004434752179138], 'aut_phi_ratio': 12.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 2, 1, 1], [2, 9, 1, 2], [2, 18, 1, 1], [2, 24, 1, 1], [3, 8, 1, 1], [4, 18, 2, 1], [4, 24, 1, 1], [4, 36, 1, 1], [4, 36, 4, 1], [6, 8, 1, 1], [6, 16, 1, 1], [6, 48, 1, 1], [8, 36, 2, 2], [12, 48, 1, 1]], 'aut_supersolvable': False, 'aut_tex': 'C_3:S_3.C_2^5.C_2^2', 'autcent_abelian': True, 'autcent_cyclic': False, 'autcent_exponent': 2, 'autcent_group': '8.5', 'autcent_hash': 5, 'autcent_nilpotent': True, 'autcent_order': 8, 'autcent_solvable': True, 'autcent_split': False, 'autcent_supersolvable': True, 'autcent_tex': 'C_2^3', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 24, 'autcentquo_group': '288.1027', 'autcentquo_hash': 1027, 'autcentquo_nilpotent': False, 'autcentquo_order': 288, 'autcentquo_solvable': True, 'autcentquo_supersolvable': False, 'autcentquo_tex': 'F_9:C_2^2', 'cc_stats': [[1, 1, 1], [2, 1, 1], [2, 2, 1], [2, 9, 2], [2, 18, 1], [2, 24, 1], [3, 8, 1], [4, 18, 2], [4, 24, 1], [4, 36, 5], [6, 8, 1], [6, 16, 1], [6, 48, 1], [8, 36, 4], [12, 48, 1]], 'center_label': '2.1', 'center_order': 2, 'central_product': False, 'central_quotient': '288.1027', 'commutator_count': 1, 'commutator_label': '72.45', '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': 8300, 'cyclic': False, 'derived_length': 3, 'dihedral': False, 'direct_factorization': [], 'direct_product': False, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 2, 1, 1], [2, 9, 1, 2], [2, 18, 1, 1], [2, 24, 1, 1], [3, 8, 1, 1], [4, 18, 1, 2], [4, 24, 1, 1], [4, 36, 1, 5], [6, 8, 1, 1], [6, 16, 1, 1], [6, 48, 1, 1], [8, 36, 2, 2], [12, 48, 1, 1]], 'element_repr_type': 'PC', 'elementary': 1, 'eulerian_function': 26880, 'exponent': 24, 'exponents_of_order': [6, 2], 'factors_of_aut_order': [2, 3], 'factors_of_order': [2, 3], 'faithful_reps': [[16, 1, 1]], 'familial': False, 'frattini_label': '2.1', 'frattini_quotient': '288.1027', 'hash': 8300, 'hyperelementary': 1, 'id': 288953, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 24, 'inner_gen_orders': [2, 8, 6, 3], 'inner_gens': [[1, 6, 496, 480], [13, 2, 560, 320], [97, 130, 16, 96], [193, 450, 16, 96]], 'inner_hash': 1027, 'inner_nilpotent': False, 'inner_order': 288, 'inner_split': True, 'inner_tex': 'F_9:C_2^2', 'inner_used': [1, 2, 3], 'irrC_degree': 16, 'irrQ_degree': 16, 'irrQ_dim': 16, 'irrR_degree': 16, 'irrep_stats': [[1, 8], [2, 10], [4, 1], [8, 4], [16, 1]], 'label': '576.8300', 'linC_count': 16, 'linC_degree': 10, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': 10, 'linQ_degree_count': 16, 'linQ_dim': 10, 'linQ_dim_count': 16, 'linR_count': 16, 'linR_degree': 10, 'maximal_subgroups_known': True, 'metabelian': False, 'metacyclic': False, 'monomial': True, 'name': 'C6^2:SD16', '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': 18, 'number_characteristic_subgroups': 20, 'number_conjugacy_classes': 24, 'number_divisions': 22, 'number_normal_subgroups': 34, 'number_subgroup_autclasses': 129, 'number_subgroup_classes': 185, 'number_subgroups': 1630, 'old_label': None, 'order': 576, 'order_factorization_type': 32, 'order_stats': [[1, 1], [2, 63], [3, 8], [4, 240], [6, 72], [8, 144], [12, 48]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': False, 'outer_exponent': 4, 'outer_gen_orders': [2, 4], 'outer_gen_pows': [12, 8], 'outer_gens': [[5, 2, 432, 544], [5, 50, 240, 128]], 'outer_group': '8.3', 'outer_hash': 3, 'outer_nilpotent': True, 'outer_order': 8, 'outer_permdeg': 4, 'outer_perms': [6, 17], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'D_4', 'pc_rank': 4, 'perfect': False, 'permutation_degree': 13, 'pgroup': 0, 'primary_abelian_invariants': [2, 2, 2], 'quasisimple': False, 'rank': 3, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 8], [2, 6], [4, 3], [8, 4], [16, 1]], 'representations': {'PC': {'code': 82162789284050570911263005399289659411168295826497932648760842351662597, 'gens': [1, 2, 5, 7], 'pres': [8, 2, 2, 2, 2, 2, 3, 2, 3, 97, 41, 290, 66, 19844, 11212, 4660, 428, 116, 19973, 10765, 3093, 413, 26886, 8974, 2262, 3390, 166, 24583, 2063, 3607, 3103]}, 'Perm': {'d': 13, 'gens': [95605329, 142259885, 7, 178185016, 16, 223347720, 698629800, 1221138120]}}, 'schur_multiplier': [2, 2, 2], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 2, 2], 'solvability_type': 11, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': False, 'sylow_subgroups_known': True, 'tex_name': 'C_6^2:\\SD_{16}', 'transitive_degree': 36, 'wreath_data': None, 'wreath_product': False}