Query:
/api/gps_groups/?_offset=0
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '8.2', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 2, 'aut_exponent': 660, 'aut_gen_orders': [20, 30, 10, 60, 30], 'aut_gens': [[1, 4], [135, 214], [249, 54], [137, 188], [117, 102], [65, 76]], 'aut_group': None, 'aut_hash': 3017774860523347021, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 5280, 'aut_permdeg': 132, 'aut_perms': [79117083684770278281974879404225953382330106893062154257908055739483843802891833833843304972563075539655906380186088695982859858580225212702293846510389087746366153008677722821968835631337390581086858022261929659645827439081, 75411084350692281250927972817761066250787393778476748534557722605365238211092398299164324954585139598215011212521776493898604619584938711216942158173625673071597048321013501692165308768077896735566404123436037299898759260463, 55931574563573035198748287469623735764971573155741108596708456255999626283106132655258929871714880039068261040960367041828615789033316058076764121651820013865253816232964091929212299744953801671107316542076590867456342042521, 95530065899954599886949819082396320208820403147759780309945283469819652072422493557512750179125586081549990046716225027569753094070890068526427235946234900359396612999686265577205681638438454839823845371013241737478716107322, 83532114782973985030186893104702651742935078185381517948367821536659545740389568248662279501434913443759930082309440448141308054316011787948031403035515304612768338109037058571248382839447166031805453053925548562859090197366], 'aut_phi_ratio': 66.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 1, 2, 1], [3, 2, 1, 1], [4, 33, 4, 1], [6, 2, 1, 1], [6, 2, 2, 1], [11, 2, 5, 1], [22, 2, 5, 1], [22, 2, 10, 1], [33, 2, 10, 1], [66, 2, 10, 1], [66, 2, 20, 1]], 'aut_supersolvable': True, 'aut_tex': 'C_{66}.C_{10}.C_2^3', 'autcent_abelian': False, 'autcent_cyclic': False, 'autcent_exponent': 4, 'autcent_group': '8.3', 'autcent_hash': 3, 'autcent_nilpotent': True, 'autcent_order': 8, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': True, 'autcent_tex': 'D_4', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 330, 'autcentquo_group': '660.15', 'autcentquo_hash': 15, 'autcentquo_nilpotent': False, 'autcentquo_order': 660, 'autcentquo_solvable': True, 'autcentquo_supersolvable': True, 'autcentquo_tex': 'S_3\\times F_{11}', 'cc_stats': [[1, 1, 1], [2, 1, 3], [3, 2, 1], [4, 33, 4], [6, 2, 3], [11, 2, 5], [22, 2, 15], [33, 2, 10], [66, 2, 30]], 'center_label': '4.2', 'center_order': 4, 'central_product': True, 'central_quotient': '66.3', 'commutator_count': 1, 'commutator_label': '33.1', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '2.1', '3.1', '11.1'], 'composition_length': 5, 'conjugacy_classes_known': True, 'counter': 26, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [['132.3', 1], ['2.1', 1]], 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 3], [3, 2, 1, 1], [4, 33, 2, 2], [6, 2, 1, 3], [11, 2, 5, 1], [22, 2, 5, 3], [33, 2, 10, 1], [66, 2, 10, 3]], 'element_repr_type': 'PC', 'elementary': 1, 'eulerian_function': 3, 'exponent': 132, 'exponents_of_order': [3, 1, 1], 'factors_of_aut_order': [2, 3, 5, 11], 'factors_of_order': [2, 3, 11], 'faithful_reps': [], 'familial': False, 'frattini_label': '2.1', 'frattini_quotient': '132.9', 'hash': 26, 'hyperelementary': 2, 'id': 107018, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 66, 'inner_gen_orders': [2, 33], 'inner_gens': [[1, 260], [9, 4]], 'inner_hash': 3, 'inner_nilpotent': False, 'inner_order': 66, 'inner_split': True, 'inner_tex': 'D_{33}', 'inner_used': [1, 2], 'irrC_degree': -1, 'irrQ_degree': -1, 'irrQ_dim': -1, 'irrR_degree': -1, 'irrep_stats': [[1, 8], [2, 64]], 'label': '264.26', 'linC_count': 120, 'linC_degree': 3, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': 12, 'linQ_degree_count': 6, 'linQ_dim': 14, 'linQ_dim_count': 8, 'linR_count': 20, 'linR_degree': 4, 'maximal_subgroups_known': True, 'metabelian': True, 'metacyclic': True, 'monomial': True, 'name': 'C66:C4', 'ngens': 5, 'nilpotency_class': -1, 'nilpotent': False, 'normal_counts': [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': 13, 'number_characteristic_subgroups': 13, 'number_conjugacy_classes': 72, 'number_divisions': 18, 'number_normal_subgroups': 23, 'number_subgroup_autclasses': 24, 'number_subgroup_classes': 32, 'number_subgroups': 164, 'old_label': None, 'order': 264, 'order_factorization_type': 311, 'order_stats': [[1, 1], [2, 3], [3, 2], [4, 132], [6, 6], [11, 10], [22, 30], [33, 20], [66, 60]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': False, 'outer_exponent': 20, 'outer_gen_orders': [2, 2, 20], 'outer_gen_pows': [0, 0, 0], 'outer_gens': [[3, 172], [133, 172], [133, 102]], 'outer_group': '80.46', 'outer_hash': 46, 'outer_nilpotent': True, 'outer_order': 80, 'outer_permdeg': 11, 'outer_perms': [720, 3669840, 4354650], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'D_4\\times C_{10}', 'pc_rank': 2, 'perfect': False, 'permutation_degree': 20, 'pgroup': 0, 'primary_abelian_invariants': [2, 4], 'quasisimple': False, 'rank': 2, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 4], [2, 6], [10, 4], [20, 4]], 'representations': {'PC': {'code': 19077683717121662100019, 'gens': [1, 3], 'pres': [5, -2, -2, -2, -3, -11, 10, 3902, 42, 5123, 78, 6004]}, 'GLZN': {'d': 2, 'p': 44, 'gens': [1788885, 1959255, 1044979, 85361, 874974]}, 'Perm': {'d': 20, 'gens': [128403162022025647, 1307674368000, 256094948229120000, 6706022400, 4364893]}}, 'schur_multiplier': [2], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 4], 'solvability_type': 6, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'C_{66}:C_4', 'transitive_degree': 264, 'wreath_data': None, 'wreath_product': False}