Extensions 1→N→G→Q→1 with N=C3 and Q=Dic3⋊C8

Direct product G=N×Q with N=C3 and Q=Dic3⋊C8
dρLabelID
C3×Dic3⋊C896C3xDic3:C8288,248

Semidirect products G=N:Q with N=C3 and Q=Dic3⋊C8
extensionφ:Q→Aut NdρLabelID
C31(Dic3⋊C8) = C12.15Dic6φ: Dic3⋊C8/C2×C3⋊C8C2 ⊆ Aut C396C3:1(Dic3:C8)288,220
C32(Dic3⋊C8) = C12.81D12φ: Dic3⋊C8/C4×Dic3C2 ⊆ Aut C396C3:2(Dic3:C8)288,219
C33(Dic3⋊C8) = C12.30Dic6φ: Dic3⋊C8/C2×C24C2 ⊆ Aut C3288C3:3(Dic3:C8)288,289

Non-split extensions G=N.Q with N=C3 and Q=Dic3⋊C8
extensionφ:Q→Aut NdρLabelID
C3.(Dic3⋊C8) = Dic9⋊C8φ: Dic3⋊C8/C2×C24C2 ⊆ Aut C3288C3.(Dic3:C8)288,22

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