Extensions 1→N→G→Q→1 with N=C3 and Q=C3xC12

Direct product G=NxQ with N=C3 and Q=C3xC12
dρLabelID
C32xC12108C3^2xC12108,35

Semidirect products G=N:Q with N=C3 and Q=C3xC12
extensionφ:Q→Aut NdρLabelID
C3:(C3xC12) = C32xDic3φ: C3xC12/C3xC6C2 ⊆ Aut C336C3:(C3xC12)108,32

Non-split extensions G=N.Q with N=C3 and Q=C3xC12
extensionφ:Q→Aut NdρLabelID
C3.1(C3xC12) = C4xHe3central stem extension (φ=1)363C3.1(C3xC12)108,13
C3.2(C3xC12) = C4x3- 1+2central stem extension (φ=1)363C3.2(C3xC12)108,14

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