hasNormalSubgroup

URI: https://gptkb.org/prop/hasNormalSubgroup

114 triples

GPTKB property

has normal subgroup • is a normal subgroup of • isNormalSubgroupOf • minimalNormalSubgroup

Subject	Object
gptkb:alternating_group_A_n	gptkb:symmetric_group_S_n
gptkb:dihedral_group_D3	order 1 subgroup
gptkb:infinite_symmetric_group	alternating group on infinite set
gptkb:principal_congruence_subgroups	gptkb:modular_group
gptkb:special_linear_group_of_degree_n_over_the_finite_field_with_q_elements	gptkb:center
gptkb:symmetric_group_S_n_(n_≥_3)	gptkb:alternating_group_A_n
gptkb:symmetric_group_S_8	gptkb:alternating_group_A_8
gptkb:dihedral_group_of_order_6	trivial group
gptkb:alternating_group_A4	trivial group
gptkb:symmetric_group_S_8	itself
gptkb:dihedral_group_D_6	gptkb:cyclic_group_of_order_6
gptkb:S_4	gptkb:A_4
gptkb:symmetric_group_S11	gptkb:alternating_group_A11
gptkb:symmetric_group_S8	gptkb:alternating_group_A8
gptkb:dihedral_group_of_order_6	cyclic group of order 3
gptkb:dihedral_group_of_order_10	whole group
gptkb:D_{12}	gptkb:C_6
gptkb:Dih_6	gptkb:C_6
gptkb:S_3	gptkb:C_3
gptkb:Dih_6	gptkb:C_2_×_C_2