Extensions 1→N→G→Q→1 with N=C3 and Q=C2×3- 1+2

Direct product G=N×Q with N=C3 and Q=C2×3- 1+2
dρLabelID
C6×3- 1+254C6xES-(3,1)162,49

Semidirect products G=N:Q with N=C3 and Q=C2×3- 1+2
extensionφ:Q→Aut NdρLabelID
C3⋊(C2×3- 1+2) = S3×3- 1+2φ: C2×3- 1+2/3- 1+2C2 ⊆ Aut C3186C3:(C2xES-(3,1))162,37

Non-split extensions G=N.Q with N=C3 and Q=C2×3- 1+2
extensionφ:Q→Aut NdρLabelID
C3.1(C2×3- 1+2) = C2×C32⋊C9central extension (φ=1)54C3.1(C2xES-(3,1))162,24
C3.2(C2×3- 1+2) = C2×C9⋊C9central extension (φ=1)162C3.2(C2xES-(3,1))162,25

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