hasNormalSubgroup

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

114 triples

GPTKB property

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

Subject	Object
gptkb:octahedral_group	gptkb:alternating_group_A4
gptkb:symmetric_group_S23	alternating group A23
gptkb:symmetric_group_S24	trivial group
gptkb:D_{12}	gptkb:C_6
gptkb:dihedral_group_of_order_18	cyclic group of order 2
gptkb:alternating_groups	gptkb:symmetric_group_S_n
gptkb:D_4	gptkb:Klein_four-group
gptkb:S_5	gptkb:A_5
gptkb:special_linear_group_of_degree_n_over_the_finite_field_with_q_elements	gptkb:center
gptkb:symmetric_group_S5	gptkb:A5
gptkb:dihedral_group_D_6	gptkb:cyclic_group_of_order_6
gptkb:A_4_×_A_4	{e} × A_4
gptkb:dihedral_group_of_order_18	gptkb:cyclic_group_of_order_9
gptkb:symmetric_group_S_{2^n}	gptkb:alternating_group_A_{2^n}
gptkb:alternating_group_A24	gptkb:symmetric_group_S24
gptkb:Zero_group	every group
gptkb:tetrahedral_group	gptkb:Klein_four-group
gptkb:dihedral_group_of_order_6	trivial group
gptkb:A_n_(alternating_group)	S_n (symmetric group)
gptkb:Dihedral_group_of_order_12	cyclic group of order 2