Extensions 1→N→G→Q→1 with N=C3 and Q=C32:C6

Direct product G=NxQ with N=C3 and Q=C32:C6
dρLabelID
C3xC32:C6186C3xC3^2:C6162,34

Semidirect products G=N:Q with N=C3 and Q=C32:C6
extensionφ:Q→Aut NdρLabelID
C3:(C32:C6) = He3:4S3φ: C32:C6/He3C2 ⊆ Aut C327C3:(C3^2:C6)162,40

Non-split extensions G=N.Q with N=C3 and Q=C32:C6
extensionφ:Q→Aut NdρLabelID
C3.1(C32:C6) = C32:D9φ: C32:C6/He3C2 ⊆ Aut C327C3.1(C3^2:C6)162,5
C3.2(C32:C6) = C33:C6φ: C32:C6/He3C2 ⊆ Aut C396+C3.2(C3^2:C6)162,11
C3.3(C32:C6) = He3.S3φ: C32:C6/He3C2 ⊆ Aut C3276+C3.3(C3^2:C6)162,13
C3.4(C32:C6) = He3.2S3φ: C32:C6/He3C2 ⊆ Aut C3276+C3.4(C3^2:C6)162,15
C3.5(C32:C6) = C32:C18central extension (φ=1)186C3.5(C3^2:C6)162,4
C3.6(C32:C6) = C3wrS3central stem extension (φ=1)93C3.6(C3^2:C6)162,10
C3.7(C32:C6) = He3.C6central stem extension (φ=1)273C3.7(C3^2:C6)162,12
C3.8(C32:C6) = He3.2C6central stem extension (φ=1)273C3.8(C3^2:C6)162,14

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