Query:
/api/gps_groups/?_offset=0
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '16.14', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 3, 'aut_exponent': 12, 'aut_gen_orders': [12, 4, 12, 12, 12, 4, 4, 6], 'aut_gens': [[1, 2, 8, 96, 288, 864], [2593, 1818, 392, 480, 384, 912], [2673, 1822, 856, 672, 768, 912], [869, 2662, 2376, 672, 576, 2656], [81, 1518, 184, 480, 384, 864], [2597, 3806, 1992, 480, 384, 2608], [53, 1482, 1848, 672, 768, 2624], [2593, 934, 8, 96, 288, 4320], [33, 38, 40, 192, 576, 864]], 'aut_group': None, 'aut_hash': 3931606577831760306, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 165888, 'aut_permdeg': 96, 'aut_perms': [290471523601896381688682823165133768076503236014231632615275223645363397027555425363471916445333989722373611134377654714832914563604332734384106642501, 594977535961283838643368738771864008443118297215542520010743489654694063043617296080933258035635326550104687188918229722848626363224959998195386334392, 124179105221112103836444180603160128635724903378514603384084054143078033410474892658377858446333491093607482055881691949569140258833120746070456892909, 242993622718716558260565414126075156895277978156987752968876635166250138809784065810328142223062575675382119512541612409761255186392218818257087419021, 403448630469763855818214078843272937688969777809184652549097613816243390739954450211447259778425600253952136674779135872474880887761103056089005988856, 230421337201770814683683621635679958681433003140328142369729852073371822170362902311197657740197191158639326894736602925116967856843050649708249045919, 289656019361846704078563667807401074093174584023026764806485660444006964234707370831131811199257016374961734450573646343242441123231412671189532934354, 442389853661432043086036006708135172968597955142326227484253249365443417905229484696036470680999916636483135609182570777251048386342881288557771021286], 'aut_phi_ratio': 96.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 2, 1, 1], [2, 12, 2, 1], [2, 36, 2, 1], [2, 81, 2, 1], [2, 108, 2, 1], [2, 162, 1, 1], [3, 2, 2, 1], [3, 4, 1, 3], [3, 8, 2, 3], [3, 16, 1, 1], [4, 18, 1, 4], [4, 36, 2, 1], [6, 2, 2, 1], [6, 4, 1, 3], [6, 4, 2, 3], [6, 8, 1, 1], [6, 8, 2, 3], [6, 8, 4, 2], [6, 16, 1, 1], [6, 16, 2, 2], [6, 24, 2, 1], [6, 24, 4, 2], [6, 24, 8, 2], [6, 72, 2, 2], [6, 144, 2, 1], [6, 216, 2, 1], [8, 108, 4, 1], [12, 36, 2, 3], [12, 72, 1, 5], [12, 72, 2, 2], [12, 144, 2, 1], [24, 216, 4, 1]], 'aut_supersolvable': False, 'aut_tex': 'C_3^4.C_2^6.C_2^5', 'autcent_abelian': True, 'autcent_cyclic': False, 'autcent_exponent': 2, 'autcent_group': '16.14', 'autcent_hash': 14, 'autcent_nilpotent': True, 'autcent_order': 16, 'autcent_solvable': True, 'autcent_split': False, 'autcent_supersolvable': True, 'autcent_tex': 'C_2^4', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 12, 'autcentquo_group': '10368.si', 'autcentquo_hash': 82513012810261405, 'autcentquo_nilpotent': False, 'autcentquo_order': 10368, 'autcentquo_solvable': True, 'autcentquo_supersolvable': False, 'autcentquo_tex': 'S_3^4:C_2^3', 'cc_stats': [[1, 1, 1], [2, 1, 1], [2, 2, 1], [2, 12, 2], [2, 36, 2], [2, 81, 2], [2, 108, 2], [2, 162, 1], [3, 2, 2], [3, 4, 3], [3, 8, 6], [3, 16, 1], [4, 18, 4], [4, 36, 2], [6, 2, 2], [6, 4, 9], [6, 8, 15], [6, 16, 5], [6, 24, 26], [6, 72, 4], [6, 144, 2], [6, 216, 2], [8, 108, 4], [12, 36, 6], [12, 72, 9], [12, 144, 2], [24, 216, 4]], 'center_label': '2.1', 'center_order': 2, 'central_product': False, 'central_quotient': '2592.fh', 'commutator_count': 1, 'commutator_label': '324.156', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '3.1', '3.1', '3.1', '3.1'], 'composition_length': 10, 'conjugacy_classes_known': True, 'counter': 127, 'cyclic': False, 'derived_length': 3, 'dihedral': False, 'direct_factorization': [], 'direct_product': False, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 2, 1, 1], [2, 12, 1, 2], [2, 36, 1, 2], [2, 81, 1, 2], [2, 108, 1, 2], [2, 162, 1, 1], [3, 2, 1, 2], [3, 4, 1, 3], [3, 8, 1, 6], [3, 16, 1, 1], [4, 18, 1, 4], [4, 36, 1, 2], [6, 2, 1, 2], [6, 4, 1, 9], [6, 8, 1, 15], [6, 16, 1, 5], [6, 24, 1, 26], [6, 72, 1, 4], [6, 144, 1, 2], [6, 216, 1, 2], [8, 108, 1, 4], [12, 36, 1, 4], [12, 36, 2, 1], [12, 72, 1, 9], [12, 144, 1, 2], [24, 216, 1, 4]], 'element_repr_type': 'PC', 'elementary': 1, 'eulerian_function': 1240162560, 'exponent': 24, 'exponents_of_order': [6, 4], 'factors_of_aut_order': [2, 3], 'factors_of_order': [2, 3], 'faithful_reps': [[8, 1, 8], [16, 1, 2]], 'familial': False, 'frattini_label': '2.1', 'frattini_quotient': '2592.fh', 'hash': 3895397110574237554, 'hyperelementary': 1, 'id': 469587, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 12, 'inner_gen_orders': [2, 4, 6, 3, 3, 6], 'inner_gens': [[1, 54, 88, 96, 288, 864], [5, 2, 3480, 480, 288, 2608], [17, 1810, 8, 192, 576, 864], [1, 770, 200, 96, 288, 864], [1, 2, 584, 96, 288, 864], [1, 3538, 8, 96, 288, 864]], 'inner_hash': 1293884799352898782, 'inner_nilpotent': False, 'inner_order': 2592, 'inner_split': False, 'inner_tex': 'C_2\\times S_3^2:S_3^2', 'inner_used': [1, 2, 3, 4, 6], 'irrC_degree': 8, 'irrQ_degree': 8, 'irrQ_dim': 8, 'irrR_degree': 8, 'irrep_stats': [[1, 16], [2, 20], [4, 30], [8, 48], [16, 6]], 'label': '5184.ew', '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': None, 'name': 'D6:D6:S3^2', 'ngens': 10, '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, 0, 0, 0, 0, 0], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 59, 'number_characteristic_subgroups': 41, 'number_conjugacy_classes': 120, 'number_divisions': 119, 'number_normal_subgroups': 145, 'number_subgroup_autclasses': 1500, 'number_subgroup_classes': 3977, 'number_subgroups': 112996, 'old_label': None, 'order': 5184, 'order_factorization_type': 33, 'order_stats': [[1, 1], [2, 639], [3, 80], [4, 144], [6, 1872], [8, 432], [12, 1152], [24, 864]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': True, 'outer_exponent': 4, 'outer_gen_orders': [2, 2, 2, 2, 2, 2], 'outer_gen_pows': [0, 0, 0, 76, 0, 0], 'outer_gens': [[2645, 2598, 3528, 672, 576, 2672], [1, 2, 40, 192, 576, 4368], [2597, 2598, 3528, 192, 576, 2672], [53, 2666, 3528, 672, 768, 2656], [1, 50, 56, 192, 576, 864], [1, 2, 40, 96, 288, 4320]], 'outer_group': '64.264', 'outer_hash': 264, 'outer_nilpotent': True, 'outer_order': 64, 'outer_permdeg': 10, 'outer_perms': [1275487, 373681, 1961646, 848928, 374407, 374406], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'D_4:C_2^3', 'pc_rank': 6, 'perfect': False, 'permutation_degree': 20, 'pgroup': 0, 'primary_abelian_invariants': [2, 2, 2, 2], 'quasisimple': False, 'rank': 4, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 16], [2, 20], [4, 30], [8, 46], [16, 7]], 'representations': {'PC': {'code': '584725553526340931498870462519829556465424594440768876745680703745643112801433083027477520351607158813', 'gens': [1, 2, 4, 7, 8, 9], 'pres': [10, 2, 2, 2, 2, 2, 3, 3, 3, 2, 3, 1081, 51, 1562, 382, 3523, 69613, 423, 113, 4004, 44414, 1024, 144, 3845, 103695, 985, 16816, 1716, 5797, 117378, 97228, 268, 1619, 86429]}, 'Perm': {'d': 20, 'gens': [22237170278403, 385252637894623709, 249692574523493064, 121646421019957681, 249735727785942960]}}, 'schur_multiplier': [2, 2, 2, 2, 2], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 2, 2, 2], 'solvability_type': 12, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': False, 'sylow_subgroups_known': True, 'tex_name': 'D_6:D_6:S_3^2', 'transitive_degree': 24, 'wreath_data': None, 'wreath_product': False}