Extensions 1→N→G→Q→1 with N=C22 and Q=C3×A4

Direct product G=N×Q with N=C22 and Q=C3×A4
dρLabelID
A4×C2×C636A4xC2xC6144,193

Semidirect products G=N:Q with N=C22 and Q=C3×A4
extensionφ:Q→Aut NdρLabelID
C221(C3×A4) = A42φ: C3×A4/A4C3 ⊆ Aut C22129+C2^2:1(C3xA4)144,184
C222(C3×A4) = C3×C22⋊A4φ: C3×A4/C2×C6C3 ⊆ Aut C2236C2^2:2(C3xA4)144,194

Non-split extensions G=N.Q with N=C22 and Q=C3×A4
extensionφ:Q→Aut NdρLabelID
C22.(C3×A4) = C3×C42⋊C3φ: C3×A4/C2×C6C3 ⊆ Aut C22363C2^2.(C3xA4)144,68
C22.2(C3×A4) = C6×SL2(𝔽3)central extension (φ=1)48C2^2.2(C3xA4)144,156

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