Query:
/api/gps_groups/?_offset=0
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '6.2', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 3, 'aut_exponent': 18, 'aut_gen_orders': [3, 3, 3, 9, 3, 3, 3, 3, 6, 6, 3, 3, 3], 'aut_gens': [[1, 6, 18, 54, 162], [43, 6, 18, 54, 162], [505, 6, 18, 54, 162], [55, 6, 18, 54, 162], [1243, 6, 18, 54, 162], [1, 996, 504, 54, 162], [1, 114, 18, 54, 216], [1, 6, 18, 540, 1206], [1, 60, 18, 54, 216], [1, 12, 36, 108, 324], [5, 114, 522, 594, 792], [487, 6, 18, 54, 162], [1, 492, 18, 54, 162], [1, 6, 18, 54, 648]], 'aut_group': None, 'aut_hash': 7569143743491382936, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 708588, 'aut_permdeg': 297, 'aut_perms': 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'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': 18, 'autcentquo_group': None, 'autcentquo_hash': 7569143743491382936, 'autcentquo_nilpotent': False, 'autcentquo_order': 708588, 'autcentquo_solvable': True, 'autcentquo_supersolvable': True, 'autcentquo_tex': 'C_3^5.C_3^5.D_6', 'cc_stats': [[1, 1, 1], [2, 243, 1], [3, 2, 4], [3, 6, 12], [3, 27, 2], [3, 54, 2], [6, 243, 2], [9, 6, 27], [9, 54, 6]], 'center_label': '1.1', 'center_order': 1, 'central_product': False, 'central_quotient': '1458.1131', 'commutator_count': 1, 'commutator_label': '243.61', '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': 1131, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [], 'direct_product': False, 'div_stats': [[1, 1, 1, 1], [2, 243, 1, 1], [3, 2, 1, 4], [3, 6, 1, 12], [3, 27, 2, 1], [3, 54, 2, 1], [6, 243, 2, 1], [9, 6, 3, 9], [9, 54, 2, 3]], 'element_repr_type': 'PC', 'elementary': 1, 'eulerian_function': 2184, 'exponent': 18, 'exponents_of_order': [6, 1], 'factors_of_aut_order': [2, 3], 'factors_of_order': [2, 3], 'faithful_reps': [], 'familial': False, 'frattini_label': '27.5', 'frattini_quotient': '54.13', 'hash': 1131, 'hyperelementary': 1, 'id': 196904, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 18, 'inner_gen_orders': [6, 3, 3, 3, 9], 'inner_gens': [[1, 48, 1008, 108, 1404], [31, 6, 18, 54, 162], [523, 6, 18, 54, 162], [109, 6, 18, 54, 162], [379, 6, 18, 54, 162]], 'inner_hash': 1131, 'inner_nilpotent': False, 'inner_order': 1458, 'inner_split': None, 'inner_tex': '(C_3^3\\times C_9):C_6', 'inner_used': [1, 2, 4, 5], 'irrC_degree': -1, 'irrQ_degree': -1, 'irrQ_dim': -1, 'irrR_degree': -1, 'irrep_stats': [[1, 6], [2, 12], [6, 39]], 'label': '1458.1131', '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': '(C3^3*C9):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': 17, 'number_characteristic_subgroups': 20, 'number_conjugacy_classes': 57, 'number_divisions': 33, 'number_normal_subgroups': 35, 'number_subgroup_autclasses': 164, 'number_subgroup_classes': 398, 'number_subgroups': 10938, 'old_label': None, 'order': 1458, 'order_factorization_type': 51, 'order_stats': [[1, 1], [2, 243], [3, 242], [6, 486], [9, 486]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': True, 'outer_exponent': 6, 'outer_gen_orders': [2, 3, 3, 3, 3, 3], 'outer_gen_pows': [0, 0, 0, 3, 3, 0], 'outer_gens': [[5, 1086, 522, 594, 792], [1, 528, 990, 54, 162], [1, 60, 18, 54, 270], [1, 48, 1008, 108, 324], [1, 984, 36, 108, 324], [1, 528, 990, 1026, 792]], 'outer_group': '486.183', 'outer_hash': 183, 'outer_nilpotent': False, 'outer_order': 486, 'outer_permdeg': 54, 'outer_perms': [162049605141359033895708606947387844140181793238756055594990351829021564, 53396738564790484885916330090266494822187623376188271403007296566233869, 1856728107985435993515087749065533180890321577212196555286595395822350, 56513865194315117747863371055721170802162147177432140575075349494660446, 56191231883003116236237866799326737115815878870614705497933284607517808, 204028836487821556281247651560843549915209082116018097589787966288566195], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'C_3^4:S_3', 'pc_rank': 5, 'perfect': False, 'permutation_degree': 36, 'pgroup': 0, 'primary_abelian_invariants': [2, 3], 'quasisimple': False, 'rank': 3, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 2], [2, 6], [4, 4], [6, 12], [18, 9]], 'representations': {'PC': {'code': 9207543793162661276980064051987264557247, 'gens': [1, 3, 4, 5, 6], 'pres': [7, -2, -3, -3, -3, -3, 3, -3, 14, 1010, 5553, 28227, 13870, 3784, 58973, 5682, 166, 47634]}, 'Perm': {'d': 36, 'gens': [19208914546462308319426447175271017455, 11559642020170210301068513862364619059932, 20980476557664125653504524095771518524799, 32538836070812534837502940891350716814969, 1780354437279562776756394259904684672000, 22465323906436009538563912872476964924799, 43401864031628670682941229121186428262400]}}, 'schur_multiplier': [3, 3, 3, 3], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [6], 'solvability_type': 7, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': '(C_3^3\\times C_9):C_6', 'transitive_degree': 81, 'wreath_data': None, 'wreath_product': False}