hasNormalSubgroup

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

114 triples

GPTKB property

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

Subject	Object
gptkb:tetrahedral_group	gptkb:Klein_four-group
gptkb:symmetric_group_S4	gptkb:Klein_four-group
gptkb:dihedral_group_D_3	whole group
gptkb:GL(n,q)	gptkb:center
gptkb:Frobenius_groups	gptkb:Frobenius_kernel
gptkb:Trivial_group	every group
gptkb:octahedral_group	gptkb:Klein_four-group
gptkb:S_3	gptkb:C_3
gptkb:V_4	gptkb:S_4
gptkb:D_{12}	gptkb:C_6
gptkb:A_3	gptkb:S_3
gptkb:S_3	gptkb:S_3
gptkb:S_3_×_S_3	{e} × S_3
gptkb:dihedral_group_D3	order 3 subgroup
gptkb:A_6	gptkb:S_6
gptkb:D_{12}	gptkb:C_2_×_C_2
gptkb:alternating_group_A6	gptkb:symmetric_group_S6
gptkb:dihedral_group_of_order_8	cyclic group of order 4
gptkb:D_4	gptkb:Klein_four-group
gptkb:D_8	gptkb:V_4