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': 2, 'aut_exponent': 6, 'aut_gen_orders': [6, 6, 2, 6, 6, 6, 6, 6, 6, 6], 'aut_gens': [[1, 2, 24, 72], [609, 146, 24, 84], [613, 158, 24, 852], [17, 10, 24, 84], [173, 586, 48, 528], [785, 346, 48, 108], [437, 466, 24, 516], [609, 634, 24, 516], [617, 626, 48, 372], [341, 734, 24, 504], [5, 38, 48, 96]], 'aut_group': None, 'aut_hash': 7528112664506936341, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 13824, 'aut_permdeg': 76, 'aut_perms': [638215327721466427420521469386802530991917444023043354531473931757532421740067074075657548400747833335570801339, 450334078043648800260359205720806628403751264171472297940117788386185494313462595242594925762546952202262301871, 84047150923666114557383646160309490156352679073658419906153243577851140861805879638236947718515412765439530594, 1665805787703349350059730749115965161293263462269799554092120846812473712773330176094136487081644532273457047202, 440276057625062139248433593743796598667247796763894274070232520521290115000331867134570733321676112027522629824, 179962525574840341409244490199254574322099222102945606989956242738639580451280852085289662375006846152790701885, 635569257465299866225690345010130975791091084253103136564166375142423331187917863245378236877102107785693763819, 1601308691012342122106310718264416194733562457966758354210441395417528461407959634638703751196758194468266423953, 1879287788362655137522980271257625136987183873398858482316478314136406621282167572609246043987877893104064321595, 802725121525431517898843545299649033619956929606507384669382422744771789020882186968590939653935578996143096951], 'aut_phi_ratio': 48.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 3], [3, 2, 1, 3], [3, 4, 1, 3], [3, 4, 2, 1], [4, 4, 1, 1], [4, 18, 2, 3], [4, 36, 1, 3], [6, 2, 1, 9], [6, 4, 1, 9], [6, 4, 2, 3], [12, 4, 2, 3], [12, 4, 4, 3], [12, 4, 8, 1], [12, 36, 2, 6]], 'aut_supersolvable': True, 'aut_tex': 'C_3^3.C_2^6.C_2^3', 'autcent_abelian': True, 'autcent_cyclic': False, 'autcent_exponent': 2, 'autcent_group': '64.267', 'autcent_hash': 267, 'autcent_nilpotent': True, 'autcent_order': 64, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': True, 'autcent_tex': 'C_2^6', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 6, 'autcentquo_group': '216.162', 'autcentquo_hash': 162, 'autcentquo_nilpotent': False, 'autcentquo_order': 216, 'autcentquo_solvable': True, 'autcentquo_supersolvable': True, 'autcentquo_tex': 'S_3^3', 'cc_stats': [[1, 1, 1], [2, 1, 3], [3, 2, 3], [3, 4, 5], [4, 4, 1], [4, 18, 6], [4, 36, 3], [6, 2, 9], [6, 4, 15], [12, 4, 26], [12, 36, 12]], 'center_label': '4.2', 'center_order': 4, 'central_product': False, 'central_quotient': '216.172', 'commutator_count': 1, 'commutator_label': '108.45', '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'], 'composition_length': 8, 'conjugacy_classes_known': True, 'counter': 3636, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [], 'direct_product': False, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 3], [3, 2, 1, 3], [3, 4, 1, 3], [3, 4, 2, 1], [4, 4, 1, 1], [4, 18, 1, 2], [4, 18, 2, 2], [4, 36, 1, 3], [6, 2, 1, 9], [6, 4, 1, 9], [6, 4, 2, 3], [12, 4, 2, 5], [12, 4, 4, 4], [12, 36, 1, 2], [12, 36, 2, 5]], 'element_repr_type': 'PC', 'elementary': 1, 'eulerian_function': 10752, 'exponent': 12, 'exponents_of_order': [5, 3], 'factors_of_aut_order': [2, 3], 'factors_of_order': [2, 3], 'faithful_reps': [], 'familial': False, 'frattini_label': '4.2', 'frattini_quotient': '216.172', 'hash': 3636, 'hyperelementary': 1, 'id': 303109, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 6, 'inner_gen_orders': [2, 6, 3, 6], 'inner_gens': [[1, 10, 24, 420], [17, 2, 48, 792], [1, 50, 24, 72], [613, 146, 24, 72]], 'inner_hash': 172, 'inner_nilpotent': False, 'inner_order': 216, 'inner_split': True, 'inner_tex': 'C_6:S_3^2', 'inner_used': [1, 2, 3, 4], 'irrC_degree': -1, 'irrQ_degree': -1, 'irrQ_dim': -1, 'irrR_degree': -1, 'irrep_stats': [[1, 8], [2, 30], [4, 46]], 'label': '864.3636', 'linC_count': 448, 'linC_degree': 6, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': 8, 'linQ_degree_count': 20, 'linQ_dim': 12, 'linQ_dim_count': 6, 'linR_count': 4, 'linR_degree': 8, 'maximal_subgroups_known': True, 'metabelian': True, 'metacyclic': False, 'monomial': True, 'name': '(C6*C12).D6', '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, 0, 0, 0], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 52, 'number_characteristic_subgroups': 71, 'number_conjugacy_classes': 84, 'number_divisions': 56, 'number_normal_subgroups': 75, 'number_subgroup_autclasses': 302, 'number_subgroup_classes': 318, 'number_subgroups': 1468, 'old_label': None, 'order': 864, 'order_factorization_type': 33, 'order_stats': [[1, 1], [2, 3], [3, 26], [4, 220], [6, 78], [12, 536]], 'outer_abelian': True, 'outer_cyclic': False, 'outer_equivalence': False, 'outer_exponent': 2, 'outer_gen_orders': [2, 2, 2, 2, 2, 2], 'outer_gen_pows': [0, 0, 0, 0, 0, 0], 'outer_gens': [[13, 2, 24, 408], [433, 2, 24, 408], [1, 22, 24, 408], [1, 442, 24, 72], [1, 2, 48, 372], [1, 10, 24, 72]], 'outer_group': '64.267', 'outer_hash': 267, 'outer_nilpotent': True, 'outer_order': 64, 'outer_permdeg': 12, 'outer_perms': [39916800, 362880, 5040, 120, 6, 1], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'C_2^6', 'pc_rank': 4, 'perfect': False, 'permutation_degree': 25, 'pgroup': 0, 'primary_abelian_invariants': [2, 2, 2], 'quasisimple': False, 'rank': 3, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 8], [2, 14], [4, 18], [8, 14], [16, 2]], 'representations': {'PC': {'code': 1138909637631003664636213816448132785793782904090519321, 'gens': [1, 2, 5, 6], 'pres': [8, 2, 2, 2, 3, 3, 2, 2, 3, 3456, 161, 41, 482, 66, 515, 972, 20165, 19021, 141, 41670, 20174, 166, 39943, 18447]}, 'Perm': {'d': 25, 'gens': [622798591500376277016383, 1320859237101453793497607, 104590463802255441158400, 1969256573858811863404800, 86418678124800, 325, 435, 45360]}}, 'schur_multiplier': [2], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 2, 2], 'solvability_type': 7, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': '(C_6\\times C_{12}).D_6', 'transitive_degree': 96, 'wreath_data': None, 'wreath_product': False}