Extensions 1→N→G→Q→1 with N=C3 and Q=Dic3×C12

Direct product G=N×Q with N=C3 and Q=Dic3×C12
dρLabelID
Dic3×C3×C12144Dic3xC3xC12432,471

Semidirect products G=N:Q with N=C3 and Q=Dic3×C12
extensionφ:Q→Aut NdρLabelID
C31(Dic3×C12) = C3×Dic32φ: Dic3×C12/C6×Dic3C2 ⊆ Aut C348C3:1(Dic3xC12)432,425
C32(Dic3×C12) = C12×C3⋊Dic3φ: Dic3×C12/C6×C12C2 ⊆ Aut C3144C3:2(Dic3xC12)432,487

Non-split extensions G=N.Q with N=C3 and Q=Dic3×C12
extensionφ:Q→Aut NdρLabelID
C3.1(Dic3×C12) = C12×Dic9φ: Dic3×C12/C6×C12C2 ⊆ Aut C3144C3.1(Dic3xC12)432,128
C3.2(Dic3×C12) = C4×C32⋊C12φ: Dic3×C12/C6×C12C2 ⊆ Aut C3144C3.2(Dic3xC12)432,138
C3.3(Dic3×C12) = C4×C9⋊C12φ: Dic3×C12/C6×C12C2 ⊆ Aut C3144C3.3(Dic3xC12)432,144
C3.4(Dic3×C12) = Dic3×C36central extension (φ=1)144C3.4(Dic3xC12)432,131

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