Extensions 1→N→G→Q→1 with N=C4oD12 and Q=C4

Direct product G=NxQ with N=C4oD12 and Q=C4
dρLabelID
C4xC4oD1296C4xC4oD12192,1033

Semidirect products G=N:Q with N=C4oD12 and Q=C4
extensionφ:Q→Out NdρLabelID
C4oD12:1C4 = C2xC42:4S3φ: C4/C2C2 ⊆ Out C4oD1248C4oD12:1C4192,486
C4oD12:2C4 = C23.28D12φ: C4/C2C2 ⊆ Out C4oD1296C4oD12:2C4192,672
C4oD12:3C4 = C4oD12:C4φ: C4/C2C2 ⊆ Out C4oD1296C4oD12:3C4192,525
C4oD12:4C4 = C4.(C2xD12)φ: C4/C2C2 ⊆ Out C4oD1296C4oD12:4C4192,561
C4oD12:5C4 = C42:6D6φ: C4/C2C2 ⊆ Out C4oD12484C4oD12:5C4192,564
C4oD12:6C4 = C23.54D12φ: C4/C2C2 ⊆ Out C4oD1296C4oD12:6C4192,692
C4oD12:7C4 = C2xD12:C4φ: C4/C2C2 ⊆ Out C4oD1248C4oD12:7C4192,697
C4oD12:8C4 = M4(2):24D6φ: C4/C2C2 ⊆ Out C4oD12484C4oD12:8C4192,698
C4oD12:9C4 = C6.82+ 1+4φ: C4/C2C2 ⊆ Out C4oD1296C4oD12:9C4192,1063
C4oD12:10C4 = C42.188D6φ: C4/C2C2 ⊆ Out C4oD1296C4oD12:10C4192,1081
C4oD12:11C4 = C42.91D6φ: C4/C2C2 ⊆ Out C4oD1296C4oD12:11C4192,1082

Non-split extensions G=N.Q with N=C4oD12 and Q=C4
extensionφ:Q→Out NdρLabelID
C4oD12.1C4 = D12.C8φ: C4/C2C2 ⊆ Out C4oD12962C4oD12.1C4192,67
C4oD12.2C4 = Dic6.C8φ: C4/C2C2 ⊆ Out C4oD12964C4oD12.2C4192,74
C4oD12.3C4 = C16.12D6φ: C4/C2C2 ⊆ Out C4oD12964C4oD12.3C4192,466
C4oD12.4C4 = C2xD12.C4φ: C4/C2C2 ⊆ Out C4oD1296C4oD12.4C4192,1303
C4oD12.5C4 = M4(2):26D6φ: C4/C2C2 ⊆ Out C4oD12484C4oD12.5C4192,1304
C4oD12.6C4 = D12.4C8φ: trivial image962C4oD12.6C4192,460
C4oD12.7C4 = C2xC8oD12φ: trivial image96C4oD12.7C4192,1297

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