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Extensions 1→N→G→Q→1 with N=D4:C4 and Q=S3

Direct product G=NxQ with N=D4:C4 and Q=S3
dρLabelID
S3xD4:C448S3xD4:C4192,328

Semidirect products G=N:Q with N=D4:C4 and Q=S3
extensionφ:Q→Out NdρLabelID
D4:C4:1S3 = Dic3.SD16φ: S3/C3 → C2 ⊆ Out D4:C496D4:C4:1S3192,319
D4:C4:2S3 = D6:D8φ: S3/C3 → C2 ⊆ Out D4:C496D4:C4:2S3192,334
D4:C4:3S3 = D6:SD16φ: S3/C3 → C2 ⊆ Out D4:C496D4:C4:3S3192,337
D4:C4:4S3 = D4:D12φ: S3/C3 → C2 ⊆ Out D4:C448D4:C4:4S3192,332
D4:C4:5S3 = D6.D8φ: S3/C3 → C2 ⊆ Out D4:C496D4:C4:5S3192,333
D4:C4:6S3 = D4.D12φ: S3/C3 → C2 ⊆ Out D4:C496D4:C4:6S3192,342
D4:C4:7S3 = C24:1C4:C2φ: S3/C3 → C2 ⊆ Out D4:C496D4:C4:7S3192,343
D4:C4:8S3 = D12:3D4φ: S3/C3 → C2 ⊆ Out D4:C496D4:C4:8S3192,345
D4:C4:9S3 = Dic6:2D4φ: S3/C3 → C2 ⊆ Out D4:C496D4:C4:9S3192,321
D4:C4:10S3 = D6:5SD16φ: S3/C3 → C2 ⊆ Out D4:C448D4:C4:10S3192,335
D4:C4:11S3 = D6.SD16φ: S3/C3 → C2 ⊆ Out D4:C496D4:C4:11S3192,336
D4:C4:12S3 = D6:C8:11C2φ: S3/C3 → C2 ⊆ Out D4:C496D4:C4:12S3192,338
D4:C4:13S3 = D4:3D12φ: S3/C3 → C2 ⊆ Out D4:C496D4:C4:13S3192,340
D4:C4:14S3 = D12.D4φ: S3/C3 → C2 ⊆ Out D4:C496D4:C4:14S3192,346
D4:C4:15S3 = C4:C4.D6φ: S3/C3 → C2 ⊆ Out D4:C496D4:C4:15S3192,323
D4:C4:16S3 = C4:C4:19D6φ: S3/C3 → C2 ⊆ Out D4:C448D4:C4:16S3192,329
D4:C4:17S3 = D4:(C4xS3)φ: S3/C3 → C2 ⊆ Out D4:C496D4:C4:17S3192,330
D4:C4:18S3 = C3:C8:1D4φ: S3/C3 → C2 ⊆ Out D4:C496D4:C4:18S3192,339
D4:C4:19S3 = C3:C8:D4φ: S3/C3 → C2 ⊆ Out D4:C496D4:C4:19S3192,341
D4:C4:20S3 = D4:S3:C4φ: S3/C3 → C2 ⊆ Out D4:C496D4:C4:20S3192,344
D4:C4:21S3 = Dic3:4D8φ: trivial image96D4:C4:21S3192,315
D4:C4:22S3 = D4:2S3:C4φ: trivial image96D4:C4:22S3192,331

Non-split extensions G=N.Q with N=D4:C4 and Q=S3
extensionφ:Q→Out NdρLabelID
D4:C4.1S3 = (C2xC8).200D6φ: S3/C3 → C2 ⊆ Out D4:C496D4:C4.1S3192,327
D4:C4.2S3 = Dic3.D8φ: S3/C3 → C2 ⊆ Out D4:C496D4:C4.2S3192,318
D4:C4.3S3 = D4.2Dic6φ: S3/C3 → C2 ⊆ Out D4:C496D4:C4.3S3192,325
D4:C4.4S3 = Dic6.D4φ: S3/C3 → C2 ⊆ Out D4:C496D4:C4.4S3192,326
D4:C4.5S3 = D4:Dic6φ: S3/C3 → C2 ⊆ Out D4:C496D4:C4.5S3192,320
D4:C4.6S3 = D4.Dic6φ: S3/C3 → C2 ⊆ Out D4:C496D4:C4.6S3192,322
D4:C4.7S3 = D4.S3:C4φ: S3/C3 → C2 ⊆ Out D4:C496D4:C4.7S3192,316
D4:C4.8S3 = C12:Q8:C2φ: S3/C3 → C2 ⊆ Out D4:C496D4:C4.8S3192,324
D4:C4.9S3 = Dic3:6SD16φ: trivial image96D4:C4.9S3192,317

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