Query:
/api/gps_groups/?_offset=0
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '16.10', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 5, 'aut_exponent': 24, 'aut_gen_orders': [12, 24, 12, 8], 'aut_gens': [[1, 4, 24, 288, 864], [351, 1568, 620, 2016, 288], [1501, 1032, 1996, 288, 1440], [1085, 1420, 2228, 1440, 1728], [1703, 1364, 1916, 1440, 2304]], 'aut_group': None, 'aut_hash': 6992198563583357107, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 62208, 'aut_permdeg': 72, 'aut_perms': [59337954524260299147239479231456308609542877753321291861071666012360992601168804384681343198718589647974, 14344502551738426924292597637688643297065548355246542714127488255960835144724819971820216689407596634625, 21719763909055219358775850506632154880960229290500740068887400799937638998982197715359490526184569220200, 50606389757777099263840341806009131198700894585479325532481830159213537292152553338567132265629290429180], 'aut_phi_ratio': 72.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 9, 1, 2], [2, 81, 1, 1], [3, 4, 2, 1], [3, 8, 1, 1], [3, 32, 2, 1], [4, 9, 2, 1], [4, 18, 3, 1], [4, 81, 2, 1], [4, 162, 3, 1], [4, 162, 6, 1], [6, 36, 2, 1], [6, 72, 1, 1], [12, 72, 2, 1], [12, 72, 6, 1]], 'aut_supersolvable': False, 'aut_tex': 'C_3:S_3.C_6^2.C_{12}.C_2^3', 'autcent_abelian': True, 'autcent_cyclic': True, 'autcent_exponent': 1, 'autcent_group': '1.1', 'autcent_hash': 1, 'autcent_nilpotent': True, 'autcent_order': 1, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': True, 'autcent_tex': 'C_1', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 24, 'autcentquo_group': None, 'autcentquo_hash': 6992198563583357107, 'autcentquo_nilpotent': False, 'autcentquo_order': 62208, 'autcentquo_solvable': True, 'autcentquo_supersolvable': False, 'autcentquo_tex': 'C_3:S_3.C_6^2.C_{12}.C_2^3', 'cc_stats': [[1, 1, 1], [2, 9, 2], [2, 81, 1], [3, 4, 2], [3, 8, 1], [3, 32, 2], [4, 9, 2], [4, 18, 3], [4, 81, 2], [4, 162, 9], [6, 36, 2], [6, 72, 1], [12, 72, 8]], 'center_label': '1.1', 'center_order': 1, 'central_product': True, 'central_quotient': '2592.ov', 'commutator_count': 1, 'commutator_label': '162.52', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '2.1', '2.1', '2.1', '3.1', '3.1', '3.1', '3.1'], 'composition_length': 9, 'conjugacy_classes_known': True, 'counter': 386, 'cyclic': False, 'derived_length': 3, 'dihedral': False, 'direct_factorization': [['36.9', 1], ['72.41', 1]], 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 9, 1, 2], [2, 81, 1, 1], [3, 4, 1, 2], [3, 8, 1, 1], [3, 32, 1, 2], [4, 9, 2, 1], [4, 18, 1, 3], [4, 81, 2, 1], [4, 162, 1, 3], [4, 162, 2, 3], [6, 36, 1, 2], [6, 72, 1, 1], [12, 72, 1, 6], [12, 72, 2, 1]], 'element_repr_type': 'PC', 'elementary': 1, 'eulerian_function': 89600, 'exponent': 12, 'exponents_of_order': [5, 4], 'factors_of_aut_order': [2, 3], 'factors_of_order': [2, 3], 'faithful_reps': [[32, 1, 2]], 'familial': False, 'frattini_label': '1.1', 'frattini_quotient': '2592.ov', 'hash': 6364532303939573533, 'hyperelementary': 1, 'id': 408071, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 12, 'inner_gen_orders': [4, 12, 12, 3, 3], 'inner_gens': [[1, 1988, 904, 2016, 2304], [1929, 4, 168, 1728, 288], [1881, 148, 24, 1440, 1152], [865, 1156, 2328, 288, 864], [2017, 1444, 600, 288, 864]], 'inner_hash': 6364532303939573533, 'inner_nilpotent': False, 'inner_order': 2592, 'inner_split': False, 'inner_tex': 'C_3^4:(C_4\\times Q_8)', 'inner_used': [1, 2, 3], 'irrC_degree': 32, 'irrQ_degree': 32, 'irrQ_dim': 32, 'irrR_degree': 32, 'irrep_stats': [[1, 16], [2, 4], [4, 8], [8, 6], [32, 2]], 'label': '2592.ov', 'linC_count': None, 'linC_degree': None, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': None, 'linQ_degree_count': None, 'linQ_dim': None, 'linQ_dim_count': None, 'linR_count': None, 'linR_degree': None, 'maximal_subgroups_known': True, 'metabelian': False, 'metacyclic': False, 'monomial': True, 'name': 'C3^4:(C4*Q8)', 'ngens': 9, '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], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 16, 'number_characteristic_subgroups': 18, 'number_conjugacy_classes': 36, 'number_divisions': 30, 'number_normal_subgroups': 42, 'number_subgroup_autclasses': 130, 'number_subgroup_classes': 276, 'number_subgroups': 8384, 'old_label': None, 'order': 2592, 'order_factorization_type': 33, 'order_stats': [[1, 1], [2, 99], [3, 80], [4, 1692], [6, 144], [12, 576]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': True, 'outer_exponent': 6, 'outer_gen_orders': [2, 2, 6], 'outer_gen_pows': [1010, 867, 0], 'outer_gens': [[1011, 100, 136, 288, 864], [577, 2436, 752, 1152, 288], [2031, 896, 1764, 576, 2016]], 'outer_group': '24.14', 'outer_hash': 14, 'outer_nilpotent': False, 'outer_order': 24, 'outer_permdeg': 7, 'outer_perms': [7, 136, 856], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'C_2\\times D_6', 'pc_rank': 5, 'perfect': False, 'permutation_degree': 15, 'pgroup': 0, 'primary_abelian_invariants': [2, 2, 4], 'quasisimple': False, 'rank': 3, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 8], [2, 6], [4, 9], [8, 4], [16, 1], [32, 2]], 'representations': {'PC': {'code': '1328119806124440603277271337533222477719567761067511596996479622963788828106892892236505465348513471928236583', 'gens': [1, 3, 5, 8, 9], 'pres': [9, 2, 2, 2, 3, 2, 2, 3, 3, 3, 18, 53678, 19721, 74, 74883, 33996, 678, 40684, 15673, 1912, 130, 119669, 53150, 158, 7062, 6063, 145159, 20752, 31129, 5218, 4363, 916, 186632, 70001, 5858, 17531, 3932, 2969]}, 'Perm': {'d': 15, 'gens': [1520637524, 224189, 45507, 338677, 63975, 219574, 87737376696, 24951986164, 355419192715]}}, 'schur_multiplier': [6, 6], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 2, 4], 'solvability_type': 11, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': False, 'sylow_subgroups_known': True, 'tex_name': 'C_3^4:(C_4\\times Q_8)', 'transitive_degree': 48, 'wreath_data': None, 'wreath_product': False}