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Extensions 1→N→G→Q→1 with N=C3 and Q=C2xC32:C9

Direct product G=NxQ with N=C3 and Q=C2xC32:C9
dρLabelID
C6xC32:C9162C6xC3^2:C9486,191

Semidirect products G=N:Q with N=C3 and Q=C2xC32:C9
extensionφ:Q→Aut NdρLabelID
C3:(C2xC32:C9) = S3xC32:C9φ: C2xC32:C9/C32:C9 → C2 ⊆ Aut C354C3:(C2xC3^2:C9)486,95

Non-split extensions G=N.Q with N=C3 and Q=C2xC32:C9
extensionφ:Q→Aut NdρLabelID
C3.1(C2xC32:C9) = C2xC3.C92central extension (φ=1)486C3.1(C2xC3^2:C9)486,62
C3.2(C2xC32:C9) = C2xC32:C27central extension (φ=1)162C3.2(C2xC3^2:C9)486,72
C3.3(C2xC32:C9) = C2xC33:C9central stem extension (φ=1)54C3.3(C2xC3^2:C9)486,73
C3.4(C2xC32:C9) = C2xC32.19He3central stem extension (φ=1)162C3.4(C2xC3^2:C9)486,74
C3.5(C2xC32:C9) = C2xC32.20He3central stem extension (φ=1)162C3.5(C2xC3^2:C9)486,75
C3.6(C2xC32:C9) = C2xC9.4He3central stem extension (φ=1)543C3.6(C2xC3^2:C9)486,76
C3.7(C2xC32:C9) = C2xHe3:C9central stem extension (φ=1)162C3.7(C2xC3^2:C9)486,77
C3.8(C2xC32:C9) = C2x3- 1+2:C9central stem extension (φ=1)162C3.8(C2xC3^2:C9)486,78
C3.9(C2xC32:C9) = C2xC9.5He3central stem extension (φ=1)1623C3.9(C2xC3^2:C9)486,79
C3.10(C2xC32:C9) = C2xC9.6He3central stem extension (φ=1)1623C3.10(C2xC3^2:C9)486,80

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