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_A4	trivial group
gptkb:Dih_6	gptkb:C_3
gptkb:Dihedral_group_of_order_12	gptkb:cyclic_group_of_order_6
gptkb:Principal_congruence_subgroup	gptkb:SL(2,ℤ)
gptkb:symmetric_group_S_3	trivial group
gptkb:S_4	gptkb:A_4
gptkb:dihedral_group_D3	order 6 subgroup
gptkb:dihedral_group_D_3	cyclic group of order 3
gptkb:octahedral_group	gptkb:Klein_four-group
gptkb:GL(n,q)	gptkb:center
gptkb:dihedral_group_of_order_6	trivial group
gptkb:symmetric_group_S_8	gptkb:alternating_group_A_8
gptkb:S_7	gptkb:A_7
gptkb:S_3_×_S_3	S_3 × {e}
gptkb:alternating_group_A_{2^n}	gptkb:symmetric_group_S_{2^n}
gptkb:general_linear_group_GL(2n,q)	gptkb:special_linear_group_SL(2n,q)
gptkb:octahedral_group	cyclic group of order 4
gptkb:dihedral_group_of_order_8	gptkb:Klein_four-group
gptkb:alternating_group_A24	gptkb:symmetric_group_S24
gptkb:symmetric_group_S8	gptkb:alternating_group_A8