Extensions 1→N→G→Q→1 with N=C3 and Q=C3×2+ 1+4

Direct product G=N×Q with N=C3 and Q=C3×2+ 1+4
dρLabelID
C32×2+ 1+472C3^2xES+(2,2)288,1022

Semidirect products G=N:Q with N=C3 and Q=C3×2+ 1+4
extensionφ:Q→Aut NdρLabelID
C31(C3×2+ 1+4) = C3×D46D6φ: C3×2+ 1+4/C6×D4C2 ⊆ Aut C3244C3:1(C3xES+(2,2))288,994
C32(C3×2+ 1+4) = C3×D4○D12φ: C3×2+ 1+4/C3×C4○D4C2 ⊆ Aut C3484C3:2(C3xES+(2,2))288,999

Non-split extensions G=N.Q with N=C3 and Q=C3×2+ 1+4
extensionφ:Q→Aut NdρLabelID
C3.(C3×2+ 1+4) = C9×2+ 1+4central extension (φ=1)724C3.(C3xES+(2,2))288,371

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