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Extensions 1→N→G→Q→1 with N=C3 and Q=C6×3- 1+2

Direct product G=N×Q with N=C3 and Q=C6×3- 1+2
dρLabelID
C3×C6×3- 1+2162C3xC6xES-(3,1)486,252

Semidirect products G=N:Q with N=C3 and Q=C6×3- 1+2
extensionφ:Q→Aut NdρLabelID
C3⋊(C6×3- 1+2) = C3×S3×3- 1+2φ: C6×3- 1+2/C3×3- 1+2 → C2 ⊆ Aut C354C3:(C6xES-(3,1))486,225

Non-split extensions G=N.Q with N=C3 and Q=C6×3- 1+2
extensionφ:Q→Aut NdρLabelID
C3.1(C6×3- 1+2) = C6×C32⋊C9central extension (φ=1)162C3.1(C6xES-(3,1))486,191
C3.2(C6×3- 1+2) = C6×C9⋊C9central extension (φ=1)486C3.2(C6xES-(3,1))486,192
C3.3(C6×3- 1+2) = C18×3- 1+2central extension (φ=1)162C3.3(C6xES-(3,1))486,195
C3.4(C6×3- 1+2) = C2×C34.C3central stem extension (φ=1)54C3.4(C6xES-(3,1))486,197
C3.5(C6×3- 1+2) = C2×C9⋊He3central stem extension (φ=1)162C3.5(C6xES-(3,1))486,198
C3.6(C6×3- 1+2) = C2×C9⋊3- 1+2central stem extension (φ=1)162C3.6(C6xES-(3,1))486,200
C3.7(C6×3- 1+2) = C2×C33.31C32central stem extension (φ=1)162C3.7(C6xES-(3,1))486,201
C3.8(C6×3- 1+2) = C2×C92⋊7C3central stem extension (φ=1)162C3.8(C6xES-(3,1))486,202
C3.9(C6×3- 1+2) = C2×C92⋊8C3central stem extension (φ=1)162C3.9(C6xES-(3,1))486,205
C3.10(C6×3- 1+2) = C2×C92⋊9C3central stem extension (φ=1)162C3.10(C6xES-(3,1))486,206

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