Extensions 1→N→G→Q→1 with N=C3 and Q=C2×C3≀C3

Direct product G=N×Q with N=C3 and Q=C2×C3≀C3
dρLabelID
C6×C3≀C354C6xC3wrC3486,210

Semidirect products G=N:Q with N=C3 and Q=C2×C3≀C3
extensionφ:Q→Aut NdρLabelID
C3⋊(C2×C3≀C3) = S3×C3≀C3φ: C2×C3≀C3/C3≀C3C2 ⊆ Aut C3186C3:(C2xC3wrC3)486,117

Non-split extensions G=N.Q with N=C3 and Q=C2×C3≀C3
extensionφ:Q→Aut NdρLabelID
C3.1(C2×C3≀C3) = C2×C33⋊C9central extension (φ=1)54C3.1(C2xC3wrC3)486,73
C3.2(C2×C3≀C3) = C2×He3⋊C9central extension (φ=1)162C3.2(C2xC3wrC3)486,77
C3.3(C2×C3≀C3) = C2×3- 1+2⋊C9central extension (φ=1)162C3.3(C2xC3wrC3)486,78
C3.4(C2×C3≀C3) = C2×C32.24He3central stem extension (φ=1)162C3.4(C2xC3wrC3)486,63
C3.5(C2×C3≀C3) = C2×C33.C32central stem extension (φ=1)162C3.5(C2xC3wrC3)486,64
C3.6(C2×C3≀C3) = C2×C33.3C32central stem extension (φ=1)162C3.6(C2xC3wrC3)486,65
C3.7(C2×C3≀C3) = C2×C32.27He3central stem extension (φ=1)162C3.7(C2xC3wrC3)486,66
C3.8(C2×C3≀C3) = C2×C32.28He3central stem extension (φ=1)162C3.8(C2xC3wrC3)486,67

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