hasNormalSubgroup

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

114 triples

GPTKB property

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

Subject	Object
gptkb:dihedral_group_of_order_10	whole group
gptkb:A_3	gptkb:S_3
gptkb:symmetric_group_S_n	gptkb:alternating_group_A_n_(for_n_>_2)
gptkb:Zero_group	every group
gptkb:S_3	trivial group
gptkb:dihedral_group_D3	order 6 subgroup
gptkb:Dihedral_group_of_order_8	gptkb:Klein_four-group
gptkb:alternating_group_A4	trivial group
gptkb:D_{12}	gptkb:C_6
gptkb:symmetric_group_S24	trivial group
gptkb:alternating_group_A4	itself
gptkb:symmetric_group_S11	gptkb:alternating_group_A11
gptkb:Frobenius_groups	gptkb:Frobenius_kernel
gptkb:PSigmaL_2(7)	gptkb:PSL_2(7)
gptkb:S_7	gptkb:A_7
gptkb:PΩ(n,q)	gptkb:projective_orthogonal_group
gptkb:Dih_6	gptkb:C_2_×_C_2
gptkb:dihedral_group_D_6	gptkb:cyclic_group_of_order_6
gptkb:A_6	gptkb:S_6
gptkb:principal_congruence_subgroups	gptkb:modular_group