Query:
/api/gps_groups/?_offset=0
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '150.13', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 2, 'aut_exponent': 220, 'aut_gen_orders': [4, 10, 110], 'aut_gens': [[1, 5], [661, 1535], [1, 1055], [511, 1105]], 'aut_group': '4400.r', 'aut_hash': 3690388632023574097, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 4400, 'aut_permdeg': 57, 'aut_perms': [28220106206157188580334800873888227331896959852188100241740460858361594357069, 10614197685149467530927933490113720592543129496990481164929481746402414116530, 16676739097514765828941971158304443740111347823842796245502341474140855478133], 'aut_phi_ratio': 11.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [3, 1, 2, 1], [5, 1, 4, 1], [5, 11, 5, 4], [6, 1, 2, 1], [10, 1, 4, 1], [10, 11, 5, 4], [11, 5, 2, 1], [15, 1, 8, 1], [15, 11, 10, 4], [22, 5, 2, 1], [30, 1, 8, 1], [30, 11, 10, 4], [33, 5, 4, 1], [55, 5, 8, 1], [66, 5, 4, 1], [110, 5, 8, 1], [165, 5, 16, 1], [330, 5, 16, 1]], 'aut_supersolvable': True, 'aut_tex': 'D_{110}:C_{20}', 'autcent_abelian': False, 'autcent_cyclic': False, 'autcent_exponent': 20, 'autcent_group': '40.12', 'autcent_hash': 12, 'autcent_nilpotent': False, 'autcent_order': 40, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': True, 'autcent_tex': 'C_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], [3, 1, 2], [5, 1, 4], [5, 11, 20], [6, 1, 2], [10, 1, 4], [10, 11, 20], [11, 5, 2], [15, 1, 8], [15, 11, 40], [22, 5, 2], [30, 1, 8], [30, 11, 40], [33, 5, 4], [55, 5, 8], [66, 5, 4], [110, 5, 8], [165, 5, 16], [330, 5, 16]], 'center_label': '30.4', 'center_order': 30, 'central_product': True, 'central_quotient': '55.1', 'commutator_count': 1, 'commutator_label': '11.1', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '3.1', '5.1', '5.1', '11.1'], 'composition_length': 5, 'conjugacy_classes_known': True, 'counter': 25, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [['2.1', 1], ['3.1', 1], ['5.1', 1], ['55.1', 1]], 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [3, 1, 2, 1], [5, 1, 4, 1], [5, 11, 4, 5], [6, 1, 2, 1], [10, 1, 4, 1], [10, 11, 4, 5], [11, 5, 2, 1], [15, 1, 8, 1], [15, 11, 8, 5], [22, 5, 2, 1], [30, 1, 8, 1], [30, 11, 8, 5], [33, 5, 4, 1], [55, 5, 8, 1], [66, 5, 4, 1], [110, 5, 8, 1], [165, 5, 16, 1], [330, 5, 16, 1]], 'element_repr_type': 'PC', 'elementary': 1, 'eulerian_function': 288, 'exponent': 330, 'exponents_of_order': [2, 1, 1, 1], 'factors_of_aut_order': [2, 5, 11], 'factors_of_order': [2, 3, 5, 11], 'faithful_reps': [[5, 0, 16]], 'familial': False, 'frattini_label': '1.1', 'frattini_quotient': '1650.25', 'hash': 25, 'hyperelementary': 5, 'id': 216222, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 55, 'inner_gen_orders': [5, 11], 'inner_gens': [[1, 155], [1501, 5]], 'inner_hash': 1, 'inner_nilpotent': False, 'inner_order': 55, 'inner_split': True, 'inner_tex': 'C_{11}:C_5', 'inner_used': [1, 2], 'irrC_degree': 5, 'irrQ_degree': 80, 'irrQ_dim': 80, 'irrR_degree': 10, 'irrep_stats': [[1, 150], [5, 60]], 'label': '1650.25', 'linC_count': 16, 'linC_degree': 5, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': 16, 'linQ_degree_count': 35, 'linQ_dim': 16, 'linQ_dim_count': 35, 'linR_count': 8, 'linR_degree': 10, 'maximal_subgroups_known': True, 'metabelian': True, 'metacyclic': True, 'monomial': True, 'name': 'C110:C15', '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, 0, 0, 0, 0, 0, 0, 0, 0], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 32, 'number_characteristic_subgroups': 20, 'number_conjugacy_classes': 210, 'number_divisions': 36, 'number_normal_subgroups': 40, 'number_subgroup_autclasses': 32, 'number_subgroup_classes': 64, 'number_subgroups': 304, 'old_label': None, 'order': 1650, 'order_factorization_type': 222, 'order_stats': [[1, 1], [2, 1], [3, 2], [5, 224], [6, 2], [10, 224], [11, 10], [15, 448], [22, 10], [30, 448], [33, 20], [55, 40], [66, 20], [110, 40], [165, 80], [330, 80]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': False, 'outer_exponent': 20, 'outer_gen_orders': [2, 4, 10], 'outer_gen_pows': [0, 0, 0], 'outer_gens': [[1, 655], [661, 215], [661, 305]], 'outer_group': '80.50', 'outer_hash': 50, 'outer_nilpotent': False, 'outer_order': 80, 'outer_permdeg': 9, 'outer_perms': [16, 10207, 92167], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'C_2^2\\times F_5', 'pc_rank': 2, 'perfect': False, 'permutation_degree': 21, 'pgroup': 0, 'primary_abelian_invariants': [2, 3, 5, 5], 'quasisimple': False, 'rank': 2, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 2], [2, 2], [4, 12], [8, 12], [10, 2], [20, 2], [40, 2], [80, 2]], 'representations': {'PC': {'code': 264612888273522467971097430139, 'gens': [1, 2], 'pres': [5, -5, -2, -3, -5, -11, 1551, 26, 4652, 57, 18603, 118, 33754]}, 'GLFq': {'d': 2, 'q': 121, 'gens': [15680518, 15944058, 104776669, 17715620, 79720290]}, 'Perm': {'d': 21, 'gens': [720, 403200, 135581260177440037, 52, 2696906039703321600]}}, 'schur_multiplier': [5], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [5, 30], 'solvability_type': 6, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'C_{110}:C_{15}', 'transitive_degree': 330, 'wreath_data': None, 'wreath_product': False}