Extensions 1→N→G→Q→1 with N=C3 and Q=C3×Dic3⋊C4

Direct product G=N×Q with N=C3 and Q=C3×Dic3⋊C4
dρLabelID
C32×Dic3⋊C4144C3^2xDic3:C4432,472

Semidirect products G=N:Q with N=C3 and Q=C3×Dic3⋊C4
extensionφ:Q→Aut NdρLabelID
C31(C3×Dic3⋊C4) = C3×Dic3⋊Dic3φ: C3×Dic3⋊C4/C6×Dic3C2 ⊆ Aut C348C3:1(C3xDic3:C4)432,428
C32(C3×Dic3⋊C4) = C3×C62.C22φ: C3×Dic3⋊C4/C6×Dic3C2 ⊆ Aut C348C3:2(C3xDic3:C4)432,429
C33(C3×Dic3⋊C4) = C3×C6.Dic6φ: C3×Dic3⋊C4/C6×C12C2 ⊆ Aut C3144C3:3(C3xDic3:C4)432,488

Non-split extensions G=N.Q with N=C3 and Q=C3×Dic3⋊C4
extensionφ:Q→Aut NdρLabelID
C3.1(C3×Dic3⋊C4) = C3×Dic9⋊C4φ: C3×Dic3⋊C4/C6×C12C2 ⊆ Aut C3144C3.1(C3xDic3:C4)432,129
C3.2(C3×Dic3⋊C4) = C62.19D6φ: C3×Dic3⋊C4/C6×C12C2 ⊆ Aut C3144C3.2(C3xDic3:C4)432,139
C3.3(C3×Dic3⋊C4) = Dic9⋊C12φ: C3×Dic3⋊C4/C6×C12C2 ⊆ Aut C3144C3.3(C3xDic3:C4)432,145
C3.4(C3×Dic3⋊C4) = C9×Dic3⋊C4central extension (φ=1)144C3.4(C3xDic3:C4)432,132

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