hasNormalSubgroup

URI: https://gptkb.org/prop/hasNormalSubgroup
114 triples
GPTKB property
Alternative names (4)
has normal subgroup • is a normal subgroup of • isNormalSubgroupOf • minimalNormalSubgroup
Random triples
Subject Object
gptkb:dihedral_group_of_order_8 cyclic group of order 4
gptkb:A_n_(alternating_group) S_n (symmetric group)
gptkb:proper_orthochronous_Lorentz_group gptkb:Lorentz_group
gptkb:PΩ(n,q) gptkb:projective_orthogonal_group
gptkb:Frobenius_groups gptkb:Frobenius_kernel
gptkb:D_8 gptkb:C_4
gptkb:alternating_group_A4 itself
gptkb:Isometry_group_of_R^n translation group R^n
gptkb:S_4 gptkb:V_4
gptkb:symmetric_group_S4 gptkb:Klein_four-group
gptkb:general_linear_group_GL(2n,q) gptkb:special_linear_group_SL(2n,q)
gptkb:symmetric_group_S_8 itself
gptkb:alternating_group_A6 gptkb:symmetric_group_S6
gptkb:alternating_group_A_7 symmetric group S_7
gptkb:Dihedral_group_of_order_12 gptkb:cyclic_group_of_order_6
gptkb:S_3 gptkb:S_3
gptkb:special_linear_group_of_degree_n_over_the_finite_field_with_q_elements gptkb:center
gptkb:dihedral_group_of_order_6 whole group
gptkb:Dihedral_group_of_the_hexagon gptkb:cyclic_group_of_order_6
gptkb:symmetric_group_S24 trivial group