Query:
/api/gps_groups/?_offset=0
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '18.5', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 5, 'aut_exponent': 72, 'aut_gen_orders': [6, 6, 12, 8], 'aut_gens': [[1, 3, 18, 54, 162, 486], [2, 903, 504, 54, 378, 972], [1, 1383, 1260, 1080, 144, 54], [1, 509, 288, 540, 450, 1026], [1, 503, 1260, 1080, 612, 108]], 'aut_group': None, 'aut_hash': 5780185022736860738, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 3779136, 'aut_permdeg': 135, 'aut_perms': [92264964765070977484249892191748921604082501642726260852471762544336108200074846427484143397301531239285069143455601216529536188572881748631220066091463234735738868941902183666465719388800572674009670246699601481216727404224746282, 201628228917993200508875759079464645842396260382859304649421564691389411527982855632931794358195463610376338873258755853428921774100014942084021425999243363570808035967774461148553029577004108977694099236977934322436678963011607753, 173055940068952282552243160137632909686842243419983737074082988264912241522232329449888966095086390031314083671015102806433874330304196443803227660608218312528312136083625513283651383424028087241410315925449330608838214736087530017, 250088321533915699595319432731076745849606785908531062282776998772007395755368085017297095613569225566929107281788408642062866718701787949896880861373243460333473133619056776881617299158508960977193451822887721942810414724244956760], 'aut_phi_ratio': 7776.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 81, 1, 1], [3, 1, 2, 1], [3, 2, 4, 1], [3, 2, 8, 1], [3, 6, 12, 1], [3, 6, 24, 1], [3, 9, 6, 1], [3, 18, 24, 1], [6, 81, 2, 1], [6, 81, 6, 1]], 'aut_supersolvable': False, 'aut_tex': 'C_3^4.C_3^3.Q_8.S_3^3', 'autcent_abelian': False, 'autcent_cyclic': False, 'autcent_exponent': 6, 'autcent_group': '6.1', 'autcent_hash': 1, 'autcent_nilpotent': False, 'autcent_order': 6, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': True, 'autcent_tex': 'S_3', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 72, 'autcentquo_group': '629856.le', 'autcentquo_hash': 4095539607023997171, 'autcentquo_nilpotent': False, 'autcentquo_order': 629856, 'autcentquo_solvable': True, 'autcentquo_supersolvable': False, 'autcentquo_tex': 'C_3^5.(S_3\\times C_3^2:\\GL(2,3))', 'cc_stats': [[1, 1, 1], [2, 81, 1], [3, 1, 2], [3, 2, 12], [3, 6, 36], [3, 9, 6], [3, 18, 24], [6, 81, 8]], 'center_label': '3.1', 'center_order': 3, 'central_product': True, 'central_quotient': '486.146', 'commutator_count': 1, 'commutator_label': '81.15', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '3.1', '3.1', '3.1', '3.1', '3.1', '3.1'], 'composition_length': 7, 'conjugacy_classes_known': True, 'counter': 1466, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [['3.1', 1], ['486.146', 1]], 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 81, 1, 1], [3, 1, 2, 1], [3, 2, 1, 4], [3, 2, 2, 4], [3, 6, 1, 12], [3, 6, 2, 12], [3, 9, 2, 3], [3, 18, 2, 12], [6, 81, 2, 4]], 'element_repr_type': 'PC', 'elementary': 1, 'eulerian_function': 364, 'exponent': 6, 'exponents_of_order': [6, 1], 'factors_of_aut_order': [2, 3], 'factors_of_order': [2, 3], 'faithful_reps': [], 'familial': False, 'frattini_label': '9.2', 'frattini_quotient': '162.52', 'hash': 1466, 'hyperelementary': 1, 'id': 197200, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 6, 'inner_gen_orders': [1, 6, 3, 3, 3, 3], 'inner_gens': [[1, 3, 18, 54, 162, 486], [1, 3, 144, 108, 1296, 972], [1, 93, 18, 54, 162, 486], [1, 111, 18, 54, 162, 486], [1, 813, 18, 54, 162, 486], [1, 975, 18, 54, 162, 486]], 'inner_hash': 146, 'inner_nilpotent': False, 'inner_order': 486, 'inner_split': False, 'inner_tex': 'C_3^4:C_6', 'inner_used': [2, 3, 5], 'irrC_degree': -1, 'irrQ_degree': -1, 'irrQ_dim': -1, 'irrR_degree': -1, 'irrep_stats': [[1, 18], [2, 36], [6, 36]], 'label': '1458.1466', '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': True, 'metacyclic': False, 'monomial': True, 'name': 'C3^5:C6', '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': 11, 'number_characteristic_subgroups': 11, 'number_conjugacy_classes': 90, 'number_divisions': 54, 'number_normal_subgroups': 76, 'number_subgroup_autclasses': 105, 'number_subgroup_classes': 1352, 'number_subgroups': 11944, 'old_label': None, 'order': 1458, 'order_factorization_type': 51, 'order_stats': [[1, 1], [2, 81], [3, 728], [6, 648]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': True, 'outer_exponent': 36, 'outer_gen_orders': [6, 12, 2], 'outer_gen_pows': [0, 9, 12], 'outer_gens': [[1, 3, 144, 108, 198, 594], [2, 16, 450, 594, 1260, 1080], [2, 5, 126, 54, 846, 1080]], 'outer_group': '7776.be', 'outer_hash': 4734684673362351397, 'outer_nilpotent': False, 'outer_order': 7776, 'outer_permdeg': 12, 'outer_perms': [127856160, 262221868, 291806881], 'outer_solvable': True, 'outer_supersolvable': False, 'outer_tex': 'S_3^4:S_3', 'pc_rank': 6, 'perfect': False, 'permutation_degree': 21, 'pgroup': 0, 'primary_abelian_invariants': [2, 3, 3], 'quasisimple': False, 'rank': 3, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 2], [2, 12], [4, 16], [6, 12], [12, 12]], 'representations': {'PC': {'code': 332099088696046407663941058911, 'gens': [1, 2, 4, 5, 6, 7], 'pres': [7, -3, -2, -3, -3, -3, -3, -3, 36, 1354, 605, 1271, 18156, 7957, 15889]}, 'Perm': {'d': 21, 'gens': [26008341732185089, 2695487031472451513, 372802363673293532, 5379440206933146332, 43545600, 5379440206889647299, 98499]}}, 'schur_multiplier': [3, 3, 3, 3, 3], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [3, 6], 'solvability_type': 7, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'C_3^5:C_6', 'transitive_degree': 54, 'wreath_data': None, 'wreath_product': False}