Query:
/api/gps_groups/?_offset=0
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '32.21', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 4, 'aut_exponent': 24, 'aut_gen_orders': [2, 4, 2, 2, 2, 2, 4, 2, 2, 12, 2, 8], 'aut_gens': [[1, 2, 16], [65, 74, 80], [1, 106, 80], [1, 66, 16], [1, 110, 24], [73, 66, 24], [1, 78, 48], [1, 46, 60], [1, 74, 88], [1, 34, 120], [1, 84, 86], [1, 10, 80], [1, 22, 56]], 'aut_group': '6144.bkd', 'aut_hash': 6249717923573788879, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 6144, 'aut_permdeg': 28, 'aut_perms': [35676083988847523720594808840, 37134125292893638598293880183, 2839214250471478266861279240, 52637620128741640750715966287, 167120353844821258904293649400, 3242506682674902575037329423, 157347192219302492607431363783, 167120339891884237633225651320, 52637620128741640750715966296, 208185988646704800375827261416, 35272793484459277113115487520, 49643996757765186543357070930], 'aut_phi_ratio': 96.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 1, 3, 1], [2, 4, 1, 1], [4, 1, 12, 1], [4, 4, 3, 1], [8, 2, 24, 1], [8, 4, 12, 1]], 'aut_supersolvable': False, 'aut_tex': 'C_2^6.\\GL(2,\\mathbb{Z}/4)', 'autcent_abelian': False, 'autcent_cyclic': False, 'autcent_exponent': 4, 'autcent_group': None, 'autcent_hash': 904815073585671268, 'autcent_nilpotent': True, 'autcent_order': 1024, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': True, 'autcent_tex': 'C_2^6.C_2^4', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 6, 'autcentquo_group': '6.1', 'autcentquo_hash': 1, 'autcentquo_nilpotent': False, 'autcentquo_order': 6, 'autcentquo_solvable': True, 'autcentquo_supersolvable': True, 'autcentquo_tex': 'S_3', 'cc_stats': [[1, 1, 1], [2, 1, 3], [2, 4, 1], [4, 1, 12], [4, 4, 3], [8, 2, 24], [8, 4, 12]], 'center_label': '16.2', 'center_order': 16, 'central_product': False, 'central_quotient': '8.5', 'commutator_count': 1, 'commutator_label': '4.2', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '2.1'], 'composition_length': 7, 'conjugacy_classes_known': True, 'counter': 187, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [], 'direct_product': False, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 3], [2, 4, 1, 1], [4, 1, 2, 6], [4, 4, 1, 3], [8, 2, 2, 12], [8, 4, 2, 6]], 'element_repr_type': 'PC', 'elementary': 2, 'eulerian_function': 112, 'exponent': 8, 'exponents_of_order': [7], 'factors_of_aut_order': [2, 3], 'factors_of_order': [2], 'faithful_reps': [], 'familial': False, 'frattini_label': '16.2', 'frattini_quotient': '8.5', 'hash': 187, 'hyperelementary': 2, 'id': 19968, 'inner_abelian': True, 'inner_cyclic': False, 'inner_exponent': 2, 'inner_gen_orders': [2, 2, 2], 'inner_gens': [[1, 10, 80], [9, 2, 16], [65, 2, 16]], 'inner_hash': 5, 'inner_nilpotent': True, 'inner_order': 8, 'inner_split': False, 'inner_tex': 'C_2^3', 'inner_used': [1, 2, 3], 'irrC_degree': -1, 'irrQ_degree': -1, 'irrQ_dim': -1, 'irrR_degree': -1, 'irrep_stats': [[1, 32], [2, 24]], 'label': '128.187', 'linC_count': 192, 'linC_degree': 4, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': 8, 'linQ_degree_count': 48, 'linQ_dim': 8, 'linQ_dim_count': 48, 'linR_count': 48, 'linR_degree': 8, 'maximal_subgroups_known': True, 'metabelian': True, 'metacyclic': False, 'monomial': True, 'name': 'C8^2:C2', 'ngens': 3, 'nilpotency_class': 2, 'nilpotent': True, 'normal_counts': [0, 0, 0, 0, 0, 0, 0, 0], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 7, 'number_characteristic_subgroups': 7, 'number_conjugacy_classes': 56, 'number_divisions': 32, 'number_normal_subgroups': 76, 'number_subgroup_autclasses': 28, 'number_subgroup_classes': 107, 'number_subgroups': 140, 'old_label': None, 'order': 128, 'order_factorization_type': 7, 'order_stats': [[1, 1], [2, 7], [4, 24], [8, 96]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': False, 'outer_exponent': 24, 'outer_gen_orders': [2, 2, 2, 2, 3, 4, 4, 2, 2], 'outer_gen_pows': [0, 0, 1, 0, 0, 0, 0, 0, 0], 'outer_gens': [[1, 82, 112], [1, 70, 120], [1, 34, 52], [1, 6, 48], [1, 82, 98], [1, 34, 84], [1, 102, 48], [1, 66, 24], [1, 66, 16]], 'outer_group': '768.1087525', 'outer_hash': 1087525, 'outer_nilpotent': False, 'outer_order': 768, 'outer_permdeg': 14, 'outer_perms': [20198171214, 21317952985, 17268277831, 21317952984, 41916442680, 15426861870, 23752774128, 21316380510, 2440935744], 'outer_solvable': True, 'outer_supersolvable': False, 'outer_tex': 'C_2^3.\\GL(2,\\mathbb{Z}/4)', 'pc_rank': 3, 'perfect': False, 'permutation_degree': 16, 'pgroup': 2, 'primary_abelian_invariants': [2, 4, 4], 'quasisimple': False, 'rank': 3, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 8], [2, 12], [4, 12]], 'representations': {'PC': {'code': 4900202407188759158, 'gens': [1, 2, 5], 'pres': [7, 2, 2, 2, 2, 2, 2, 2, 141, 36, 58, 2804, 102, 124]}, 'GLFp': {'d': 4, 'p': 5, 'gens': [122109387504, 91714451877, 27831734212, 40946670943, 61054693752, 40879872504, 149861448128]}, 'Perm': {'d': 16, 'gens': [6580, 1414575560417, 268248520744, 19634, 2978079977295, 29514, 4209473347914]}}, 'schur_multiplier': [8], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 4, 4], 'solvability_type': 4, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'C_8^2:C_2', 'transitive_degree': 64, 'wreath_data': None, 'wreath_product': False}