Extensions 1→N→G→Q→1 with N=C3 and Q=C3×C23⋊C4

Direct product G=N×Q with N=C3 and Q=C3×C23⋊C4
dρLabelID
C32×C23⋊C472C3^2xC2^3:C4288,317

Semidirect products G=N:Q with N=C3 and Q=C3×C23⋊C4
extensionφ:Q→Aut NdρLabelID
C31(C3×C23⋊C4) = C3×C23.6D6φ: C3×C23⋊C4/C3×C22⋊C4C2 ⊆ Aut C3244C3:1(C3xC2^3:C4)288,240
C32(C3×C23⋊C4) = C3×C23.7D6φ: C3×C23⋊C4/C6×D4C2 ⊆ Aut C3244C3:2(C3xC2^3:C4)288,268

Non-split extensions G=N.Q with N=C3 and Q=C3×C23⋊C4
extensionφ:Q→Aut NdρLabelID
C3.(C3×C23⋊C4) = C9×C23⋊C4central extension (φ=1)724C3.(C3xC2^3:C4)288,49

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