Extensions 1→N→G→Q→1 with N=C6 and Q=C8⋊C4

Direct product G=N×Q with N=C6 and Q=C8⋊C4

Semidirect products G=N:Q with N=C6 and Q=C8⋊C4
extensionφ:Q→Aut NdρLabelID
C61(C8⋊C4) = C2×C42.S3φ: C8⋊C4/C42C2 ⊆ Aut C6192C6:1(C8:C4)192,480
C62(C8⋊C4) = C2×C24⋊C4φ: C8⋊C4/C2×C8C2 ⊆ Aut C6192C6:2(C8:C4)192,659

Non-split extensions G=N.Q with N=C6 and Q=C8⋊C4
extensionφ:Q→Aut NdρLabelID
C6.1(C8⋊C4) = C42.279D6φ: C8⋊C4/C42C2 ⊆ Aut C6192C6.1(C8:C4)192,13
C6.2(C8⋊C4) = C12.15C42φ: C8⋊C4/C42C2 ⊆ Aut C6484C6.2(C8:C4)192,25
C6.3(C8⋊C4) = (C2×C12)⋊3C8φ: C8⋊C4/C42C2 ⊆ Aut C6192C6.3(C8:C4)192,83
C6.4(C8⋊C4) = C24⋊C8φ: C8⋊C4/C2×C8C2 ⊆ Aut C6192C6.4(C8:C4)192,14
C6.5(C8⋊C4) = C48⋊C4φ: C8⋊C4/C2×C8C2 ⊆ Aut C6484C6.5(C8:C4)192,71
C6.6(C8⋊C4) = (C2×C24)⋊5C4φ: C8⋊C4/C2×C8C2 ⊆ Aut C6192C6.6(C8:C4)192,109
C6.7(C8⋊C4) = C3×C8⋊C8central extension (φ=1)192C6.7(C8:C4)192,128
C6.8(C8⋊C4) = C3×C22.7C42central extension (φ=1)192C6.8(C8:C4)192,142
C6.9(C8⋊C4) = C3×C16⋊C4central extension (φ=1)484C6.9(C8:C4)192,153