Query:
/api/gps_groups/?_offset=0
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '200.52', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 2, 'aut_exponent': 120, 'aut_gen_orders': [4, 4, 6, 20, 24], 'aut_gens': [[1, 2, 20], [1, 126, 381], [201, 118, 221], [1, 331, 189], [201, 15, 149], [1, 263, 32]], 'aut_group': None, 'aut_hash': 679954046831502455, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 30720, 'aut_permdeg': 32, 'aut_perms': [90991651133766653447781553400230431, 89089070177664447057527618828086138, 91282884787699348669746692993461741, 148842886266357679498660975950272341, 212988256341449375681738478514171138], 'aut_phi_ratio': 192.0, 'aut_solvable': False, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 1, 2, 1], [2, 2, 4, 1], [4, 2, 2, 1], [5, 1, 24, 1], [10, 1, 24, 1], [10, 1, 48, 1], [10, 2, 96, 1], [20, 2, 48, 1]], 'aut_supersolvable': False, 'aut_tex': 'C_2^5.C_2^3.S_5', 'autcent_abelian': False, 'autcent_cyclic': False, 'autcent_exponent': 120, 'autcent_group': '15360.d', 'autcent_hash': 7252620464305387371, 'autcent_nilpotent': False, 'autcent_order': 15360, 'autcent_solvable': False, 'autcent_split': True, 'autcent_supersolvable': False, 'autcent_tex': 'C_2^2\\wr C_2\\times \\GL(2,5)', 'autcentquo_abelian': True, 'autcentquo_cyclic': True, 'autcentquo_exponent': 2, 'autcentquo_group': '2.1', 'autcentquo_hash': 1, 'autcentquo_nilpotent': True, 'autcentquo_order': 2, 'autcentquo_solvable': True, 'autcentquo_supersolvable': True, 'autcentquo_tex': 'C_2', 'cc_stats': [[1, 1, 1], [2, 1, 3], [2, 2, 4], [4, 2, 2], [5, 1, 24], [10, 1, 72], [10, 2, 96], [20, 2, 48]], 'center_label': '100.16', 'center_order': 100, 'central_product': True, 'central_quotient': '4.2', 'commutator_count': 1, 'commutator_label': '2.1', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '2.1', '2.1', '5.1', '5.1'], 'composition_length': 6, 'conjugacy_classes_known': True, 'counter': 202, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [['2.1', 1], ['5.1', 2], ['8.3', 1]], 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 3], [2, 2, 1, 4], [4, 2, 1, 2], [5, 1, 4, 6], [10, 1, 4, 18], [10, 2, 4, 24], [20, 2, 4, 12]], 'element_repr_type': 'PC', 'elementary': 1, 'eulerian_function': 651, 'exponent': 20, 'exponents_of_order': [4, 2], 'factors_of_aut_order': [2, 3, 5], 'factors_of_order': [2, 5], 'faithful_reps': [], 'familial': False, 'frattini_label': '2.1', 'frattini_quotient': '200.52', 'hash': 202, 'hyperelementary': 1, 'id': 127068, 'inner_abelian': True, 'inner_cyclic': False, 'inner_exponent': 2, 'inner_gen_orders': [1, 2, 2], 'inner_gens': [[1, 2, 20], [1, 2, 220], [1, 202, 20]], 'inner_hash': 2, 'inner_nilpotent': True, 'inner_order': 4, 'inner_split': False, 'inner_tex': 'C_2^2', 'inner_used': [2, 3], 'irrC_degree': -1, 'irrQ_degree': -1, 'irrQ_dim': -1, 'irrR_degree': -1, 'irrep_stats': [[1, 200], [2, 50]], 'label': '400.202', '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': 'C4:C10^2', 'ngens': 6, 'nilpotency_class': 2, 'nilpotent': True, 'normal_counts': [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': 10, 'number_characteristic_subgroups': 10, 'number_conjugacy_classes': 250, 'number_divisions': 70, 'number_normal_subgroups': 152, 'number_subgroup_autclasses': 36, 'number_subgroup_classes': 216, 'number_subgroups': 280, 'old_label': None, 'order': 400, 'order_factorization_type': 32, 'order_stats': [[1, 1], [2, 11], [4, 4], [5, 24], [10, 264], [20, 96]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': True, 'outer_exponent': 120, 'outer_gen_orders': [4, 2, 2, 8, 5, 4, 4, 5], 'outer_gen_pows': [0, 0, 0, 0, 0, 0, 0, 0], 'outer_gens': [[1, 118, 181], [1, 18, 24], [1, 3, 20], [1, 243, 192], [1, 2, 28], [201, 6, 393], [201, 14, 340], [1, 90, 352]], 'outer_group': '7680.h', 'outer_hash': 7204898999297473319, 'outer_nilpotent': False, 'outer_order': 7680, 'outer_permdeg': 30, 'outer_perms': [8864346369515340499798905912391, 18598592324080198255695792254640, 288, 120009322122605489842865581904928, 18691123249911531891334110796800, 92578613206702876020824206434534, 145249239962855510680187366984881, 64343137475042995308683794986240], 'outer_solvable': False, 'outer_supersolvable': False, 'outer_tex': 'C_2\\times D_4\\times \\GL(2,5)', 'pc_rank': 3, 'perfect': False, 'permutation_degree': 16, 'pgroup': 0, 'primary_abelian_invariants': [2, 2, 2, 5, 5], 'quasisimple': False, 'rank': 3, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 8], [2, 2], [4, 48], [8, 12]], 'representations': {'PC': {'code': 1924841219217793219, 'gens': [1, 2, 4], 'pres': [6, -2, -2, -5, -2, -2, -5, 31, 2649, 69, 88]}, 'GLFp': {'d': 3, 'p': 11, 'gens': [1343744497, 458924878, 2118978449, 1826580636, 857494092, 1714988184]}, 'Perm': {'d': 16, 'gens': [1313901388800, 180623520000, 2789745235200, 1451520, 96, 2789705318400]}}, 'schur_multiplier': [2, 2, 10], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 10, 10], 'solvability_type': 4, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'C_4:C_{10}^2', 'transitive_degree': 200, 'wreath_data': None, 'wreath_product': False}