Formats: - HTML - YAML - JSON - 2025-11-16T23:28:33.361125
Query: /api/gps_subgroup_data/?_offset=0
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{'ambient': '1728.33796', 'aut_centralizer_order': 576, 'aut_label': '72.f1', 'aut_quo_index': 4, 'aut_stab_index': 1, 'aut_weyl_group': '24.14', 'aut_weyl_index': 576, 'centralizer': '12.i1.a1', 'complements': ['24.dt1.a1', '24.dt1.c1', '24.dt1.b1', '24.dt1.d1'], 'conjugacy_class_count': 1, 'contained_in': ['24.o1.a1', '24.o1.b1', '24.do1.a1', '36.a1.a1', '36.bi1.a1', '36.bi1.b1', '36.bz1.a1', '36.cs1.a1', '36.cs1.b1', '36.dd1.a1'], 'contains': ['144.e1.a1', '216.z1.a1'], 'core': '72.f1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1552, 3035, 7041, 6585, 9166, 1688, 9058, 8264], 'generators': [217, 432, 864, 4], 'id': 92218318, 'label': '1728.33796.72.f1.a1', 'mobius_quo': 0, 'mobius_sub': -72, 'normal_closure': '72.f1.a1', 'normal_contained_in': ['24.o1.a1', '24.o1.b1', '36.a1.a1'], 'normal_contains': ['144.e1.a1'], 'normalizer': '1.a1.a1', 'old_label': '72.f1.a1', 'projective_image': '432.759', 'quotient_action_image': '4.2', 'quotient_action_kernel': '18.4', 'quotient_action_kernel_order': 18, 'quotient_fusion': None, 'short_label': '72.f1.a1', 'subgroup_fusion': None, 'weyl_group': '12.4'}