Query:
/api/gps_groups/?_offset=0
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '18.2', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 3, 'aut_exponent': 18, 'aut_gen_orders': [6, 6, 6, 6], 'aut_gens': [[1, 18, 54], [421, 36, 126], [91, 342, 126], [203, 36, 306], [209, 360, 378]], 'aut_group': None, 'aut_hash': 624071953642739463, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 17496, 'aut_permdeg': 33, 'aut_perms': [2526368376843453932287538222477088271, 7114901310375875086786469156649924495, 4321512713397040878746957444210776306, 3977811532144855277531907872681164772], 'aut_phi_ratio': 108.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 27, 1, 1], [3, 1, 2, 1], [3, 2, 1, 1], [3, 2, 2, 1], [3, 2, 3, 1], [3, 2, 6, 1], [6, 27, 2, 1], [9, 1, 6, 1], [9, 2, 6, 1], [9, 2, 9, 1], [9, 2, 18, 2], [9, 2, 54, 1], [18, 27, 6, 1]], 'aut_supersolvable': True, 'aut_tex': 'C_3^3.C_3^4.C_2^3', 'autcent_abelian': True, 'autcent_cyclic': True, 'autcent_exponent': 6, 'autcent_group': '6.2', 'autcent_hash': 2, 'autcent_nilpotent': True, 'autcent_order': 6, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': True, 'autcent_tex': 'C_6', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 18, 'autcentquo_group': '2916.fs', 'autcentquo_hash': 5014850949365468175, 'autcentquo_nilpotent': False, 'autcentquo_order': 2916, 'autcentquo_solvable': True, 'autcentquo_supersolvable': True, 'autcentquo_tex': 'C_3^4.S_3^2', 'cc_stats': [[1, 1, 1], [2, 27, 1], [3, 1, 2], [3, 2, 12], [6, 27, 2], [9, 1, 6], [9, 2, 105], [18, 27, 6]], 'center_label': '9.1', 'center_order': 9, 'central_product': True, 'central_quotient': '54.7', 'commutator_count': 1, 'commutator_label': '27.2', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '3.1', '3.1', '3.1', '3.1', '3.1'], 'composition_length': 6, 'conjugacy_classes_known': True, 'counter': 133, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [['54.7', 1], ['9.1', 1]], 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 27, 1, 1], [3, 1, 2, 1], [3, 2, 1, 4], [3, 2, 2, 4], [6, 27, 2, 1], [9, 1, 6, 1], [9, 2, 3, 3], [9, 2, 6, 16], [18, 27, 6, 1]], 'element_repr_type': 'PC', 'elementary': 1, 'eulerian_function': 3276, 'exponent': 18, 'exponents_of_order': [5, 1], 'factors_of_aut_order': [2, 3], 'factors_of_order': [2, 3], 'faithful_reps': [], 'familial': False, 'frattini_label': '9.2', 'frattini_quotient': '54.13', 'hash': 133, 'hyperelementary': 1, 'id': 129693, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 18, 'inner_gen_orders': [2, 3, 9], 'inner_gens': [[1, 36, 432], [37, 18, 54], [109, 18, 54]], 'inner_hash': 7, 'inner_nilpotent': False, 'inner_order': 54, 'inner_split': True, 'inner_tex': 'C_3:D_9', 'inner_used': [1, 2, 3], 'irrC_degree': -1, 'irrQ_degree': -1, 'irrQ_dim': -1, 'irrR_degree': -1, 'irrep_stats': [[1, 18], [2, 117]], 'label': '486.133', 'linC_count': 3888, 'linC_degree': 4, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': 14, 'linQ_degree_count': 45, 'linQ_dim': 14, 'linQ_dim_count': 45, 'linR_count': 648, 'linR_degree': 6, 'maximal_subgroups_known': True, 'metabelian': True, 'metacyclic': False, 'monomial': True, 'name': 'C9^2:S3', 'ngens': 6, 'nilpotency_class': -1, 'nilpotent': False, 'normal_counts': [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': 15, 'number_characteristic_subgroups': 15, 'number_conjugacy_classes': 135, 'number_divisions': 33, 'number_normal_subgroups': 33, 'number_subgroup_autclasses': 52, 'number_subgroup_classes': 108, 'number_subgroups': 354, 'old_label': None, 'order': 486, 'order_factorization_type': 51, 'order_stats': [[1, 1], [2, 27], [3, 26], [6, 54], [9, 216], [18, 162]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': False, 'outer_exponent': 6, 'outer_gen_orders': [6, 3, 3, 6], 'outer_gen_pows': [0, 1, 0, 0], 'outer_gens': [[5, 36, 54], [1, 36, 450], [1, 18, 378], [17, 180, 54]], 'outer_group': '324.145', 'outer_hash': 145, 'outer_nilpotent': False, 'outer_order': 324, 'outer_permdeg': 14, 'outer_perms': [999059070, 46187417520, 34502640480, 1489350961], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'C_3^3:D_6', 'pc_rank': 3, 'perfect': False, 'permutation_degree': 21, 'pgroup': 0, 'primary_abelian_invariants': [2, 9], 'quasisimple': False, 'rank': 3, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 2], [2, 6], [4, 4], [6, 5], [12, 16]], 'representations': {'PC': {'code': 1838327313462592595167, 'gens': [1, 4, 5], 'pres': [6, -2, -3, -3, -3, -3, -3, 12, 43, 867, 12964, 118, 11669]}, 'GLZN': {'d': 2, 'p': 38, 'gens': [54881, 384111, 37430, 247669, 54879, 493857]}, 'GLZq': {'d': 2, 'q': 27, 'gens': [140464, 196840, 20060, 203896, 85783, 19927]}, 'Perm': {'d': 21, 'gens': [268942855125369600, 52023, 98356, 2817087758174592000, 79833600, 5379462437353804800]}}, 'schur_multiplier': [3], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [18], 'solvability_type': 7, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'C_9^2:S_3', 'transitive_degree': 54, 'wreath_data': None, 'wreath_product': False}