Formats: - HTML - YAML - JSON - 2026-03-15T15:46:39.644105
Query: /api/gps_groups_test/?_offset=0
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{'Agroup': True, 'Zgroup': True, 'abelian': True, 'abelian_quotient': '29.1', 'all_subgroups_known': True, 'almost_simple': False, 'aut_gens': [[1], [2]], 'aut_group': '28.2', 'aut_order': 28, 'aut_stats': [[1, 1, 1, 1], [29, 1, 28, 1]], 'cc_stats': [[1, 1, 1], [29, 1, 28]], 'center_label': '29.1', 'central_product': False, 'central_quotient': '1.1', 'commutator_count': 0, 'commutator_label': '1.1', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['29.1'], 'composition_length': 1, 'counter': 1, 'cyclic': True, 'derived_length': 1, 'direct_factorization': [], 'direct_product': False, 'div_stats': [[1, 1, 1, 1], [29, 1, 28, 1]], 'element_repr_type': 'PC', 'elementary': 29, 'eulerian_function': 1, 'exponent': 29, 'exponents_of_order': [1], 'factors_of_aut_order': [2, 7], 'factors_of_order': [29], 'faithful_reps': [[1, 0, 28]], 'frattini_label': '1.1', 'frattini_quotient': '29.1', 'hash': 1, 'hyperelementary': 29, 'id': 87, 'irrC_degree': 1, 'irrQ_degree': 28, 'irrep_stats': [[1, 29]], 'label': '29.1', 'linC_degree': 1, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': None, 'maximal_subgroups_known': True, 'metabelian': True, 'metacyclic': True, 'monomial': True, 'name': 'C29', 'ngens': 1, 'nilpotency_class': 1, 'nilpotent': True, 'normal_counts': None, 'normal_index_bound': None, 'normal_order_bound': None, 'normal_subgroups_known': True, 'number_autjugacy_classes': 2, 'number_characteristic_subgroups': 2, 'number_conjugacy_classes': 29, 'number_divisions': 2, 'number_normal_subgroups': 2, 'number_subgroup_autclasses': 2, 'number_subgroup_classes': 2, 'number_subgroups': 2, 'old_label': None, 'order': 29, 'order_factorization_type': 1, 'order_stats': [[1, 1], [29, 28]], 'outer_equivalence': False, 'outer_group': '28.2', 'outer_order': 28, 'pc_rank': 1, 'perfect': False, 'permutation_degree': 29, 'pgroup': 29, 'primary_abelian_invariants': [29], 'quasisimple': False, 'rank': 1, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 1], [28, 1]], 'representations': {'PC': {'code': 0, 'gens': [1], 'pres': [1, -29]}, 'Lie': [{'d': 1, 'q': 29, 'gens': [316196664211373618851684940313], 'family': 'ASigmaL'}], 'GLFp': {'d': 2, 'p': 29, 'gens': [24419]}, 'Perm': {'d': 29, 'gens': [8536873649127988094042112000000]}}, 'schur_multiplier': [], 'semidirect_product': False, 'simple': True, 'smith_abelian_invariants': [29], 'solvability_type': 0, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'C_{29}', 'transitive_degree': 29, 'wreath_data': None, 'wreath_product': False}