Extensions 1→N→G→Q→1 with N=C23:A4 and Q=C2

Direct product G=NxQ with N=C23:A4 and Q=C2
dρLabelID
C2xC23:A416C2xC2^3:A4192,1508

Semidirect products G=N:Q with N=C23:A4 and Q=C2
extensionφ:Q→Out NdρLabelID
C23:A4:1C2 = C2wrA4φ: C2/C1C2 ⊆ Out C23:A484+C2^3:A4:1C2192,201
C23:A4:2C2 = C23:S4φ: C2/C1C2 ⊆ Out C23:A484+C2^3:A4:2C2192,1493
C23:A4:3C2 = Q8:2S4φ: C2/C1C2 ⊆ Out C23:A484+C2^3:A4:3C2192,1494
C23:A4:4C2 = 2+ 1+4.3C6φ: trivial image164C2^3:A4:4C2192,1509

Non-split extensions G=N.Q with N=C23:A4 and Q=C2
extensionφ:Q→Out NdρLabelID
C23:A4.1C2 = 2+ 1+4.C6φ: C2/C1C2 ⊆ Out C23:A4164C2^3:A4.1C2192,202
C23:A4.2C2 = C23.S4φ: C2/C1C2 ⊆ Out C23:A4164C2^3:A4.2C2192,1491
C23:A4.3C2 = Q8.S4φ: C2/C1C2 ⊆ Out C23:A4164C2^3:A4.3C2192,1492

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