Query:
/api/gps_groups/?_offset=0
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '200.37', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 2, 'aut_exponent': 220, 'aut_gen_orders': [44, 10, 4, 20, 20], 'aut_gens': [[1, 10], [401, 670], [241, 790], [661, 1970], [1101, 830], [281, 1070]], 'aut_group': None, 'aut_hash': 3452933427242197936, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 8800, 'aut_permdeg': 79, 'aut_perms': [76266791097571405496118289035625057462014978753798815006202172702224514744837042264982358209596789113209313572599700, 540636973929703130149179825559720911186370577939692833762576006822419544807276254431592478510438899647327823472412169, 223878176561419005465914929740852042774882254353572305033501331782355625882585546513030177684666278495464712064830598, 673766993856946267582253841065915668158769525860321996197390067955940058577604924386175482573491091825487705955923992, 425105849778774866809327770038184341739662106368223146098968965948895155158293727358469128109083002634331878997741468], 'aut_phi_ratio': 11.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 11, 2, 1], [4, 1, 2, 1], [4, 11, 2, 1], [5, 1, 4, 1], [5, 11, 5, 4], [10, 1, 4, 1], [10, 11, 5, 4], [10, 11, 8, 1], [10, 11, 10, 4], [11, 10, 1, 1], [20, 1, 8, 1], [20, 11, 8, 1], [20, 11, 10, 8], [22, 10, 1, 1], [44, 10, 2, 1], [55, 10, 4, 1], [110, 10, 4, 1], [220, 10, 8, 1]], 'aut_supersolvable': True, 'aut_tex': 'C_{55}.C_{10}.C_2^4', 'autcent_abelian': False, 'autcent_cyclic': False, 'autcent_exponent': 20, 'autcent_group': '80.50', 'autcent_hash': 50, 'autcent_nilpotent': False, 'autcent_order': 80, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': True, 'autcent_tex': 'C_2^2\\times F_5', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 110, 'autcentquo_group': '110.1', 'autcentquo_hash': 1, 'autcentquo_nilpotent': False, 'autcentquo_order': 110, 'autcentquo_solvable': True, 'autcentquo_supersolvable': True, 'autcentquo_tex': 'F_{11}', 'cc_stats': [[1, 1, 1], [2, 1, 1], [2, 11, 2], [4, 1, 2], [4, 11, 2], [5, 1, 4], [5, 11, 20], [10, 1, 4], [10, 11, 68], [11, 10, 1], [20, 1, 8], [20, 11, 88], [22, 10, 1], [44, 10, 2], [55, 10, 4], [110, 10, 4], [220, 10, 8]], 'center_label': '20.2', 'center_order': 20, 'central_product': True, 'central_quotient': '110.1', 'commutator_count': 1, 'commutator_label': '11.1', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '2.1', '5.1', '5.1', '11.1'], 'composition_length': 6, 'conjugacy_classes_known': True, 'counter': 2, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [['110.1', 1], ['4.1', 1], ['5.1', 1]], 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 11, 1, 2], [4, 1, 2, 1], [4, 11, 2, 1], [5, 1, 4, 1], [5, 11, 4, 5], [10, 1, 4, 1], [10, 11, 4, 17], [11, 10, 1, 1], [20, 1, 8, 1], [20, 11, 8, 11], [22, 10, 1, 1], [44, 10, 2, 1], [55, 10, 4, 1], [110, 10, 4, 1], [220, 10, 8, 1]], 'element_repr_type': 'PC', 'elementary': 1, 'eulerian_function': 144, 'exponent': 220, 'exponents_of_order': [3, 2, 1], 'factors_of_aut_order': [2, 5, 11], 'factors_of_order': [2, 5, 11], 'faithful_reps': [[10, 0, 8]], 'familial': False, 'frattini_label': '2.1', 'frattini_quotient': '1100.29', 'hash': 8674610327534484139, 'hyperelementary': 1, 'id': 143793, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 110, 'inner_gen_orders': [10, 11], 'inner_gens': [[1, 1010], [1201, 10]], 'inner_hash': 1, 'inner_nilpotent': False, 'inner_order': 110, 'inner_split': True, 'inner_tex': 'F_{11}', 'inner_used': [1, 2], 'irrC_degree': 10, 'irrQ_degree': 80, 'irrQ_dim': 80, 'irrR_degree': 20, 'irrep_stats': [[1, 200], [10, 20]], 'label': '2200.b', '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': True, 'monomial': True, 'name': 'C20*F11', 'ngens': 6, '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': 36, 'number_characteristic_subgroups': 24, 'number_conjugacy_classes': 220, 'number_divisions': 48, 'number_normal_subgroups': 70, 'number_subgroup_autclasses': 56, 'number_subgroup_classes': 128, 'number_subgroups': 708, 'old_label': None, 'order': 2200, 'order_factorization_type': 321, 'order_stats': [[1, 1], [2, 23], [4, 24], [5, 224], [10, 752], [11, 10], [20, 976], [22, 10], [44, 20], [55, 40], [110, 40], [220, 80]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': True, 'outer_exponent': 20, 'outer_gen_orders': [2, 4, 10], 'outer_gen_pows': [0, 0, 0], 'outer_gens': [[1101, 210], [441, 1530], [1321, 1310]], 'outer_group': '80.50', 'outer_hash': 50, 'outer_nilpotent': False, 'outer_order': 80, 'outer_permdeg': 9, 'outer_perms': [7, 5887, 122536], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'C_2^2\\times F_5', 'pc_rank': 2, 'perfect': False, 'permutation_degree': 20, 'pgroup': 0, 'primary_abelian_invariants': [2, 4, 5, 5], 'quasisimple': False, 'rank': 2, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 4], [2, 2], [4, 24], [8, 12], [10, 2], [20, 1], [40, 2], [80, 1]], 'representations': {'PC': {'code': '40468999109068535014526304591694260475653013471030039', 'gens': [1, 3], 'pres': [6, -2, -5, -2, -2, -5, -11, 12, 6607, 18182, 7298, 50, 48483, 19449, 69, 55204, 15610, 178, 14405, 14411]}, 'GLFp': {'d': 4, 'p': 11, 'gens': [12531822321003912, 28624986026014313, 33418192856010432, 38155586759637906, 11212492713789353, 23726635956891084]}, 'Perm': {'d': 20, 'gens': [51960, 6423384711840487, 131167, 13560777195488777, 140856425323943160, 51982]}}, 'schur_multiplier': [10], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [10, 20], 'solvability_type': 6, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'C_{20}\\times F_{11}', 'transitive_degree': 220, 'wreath_data': None, 'wreath_product': False}