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Extensions 1→N→G→Q→1 with N=C4⋊C8 and Q=S3

Direct product G=N×Q with N=C4⋊C8 and Q=S3
dρLabelID
S3×C4⋊C896S3xC4:C8192,391

Semidirect products G=N:Q with N=C4⋊C8 and Q=S3
extensionφ:Q→Out NdρLabelID
C4⋊C8⋊1S3 = D12⋊2C8φ: S3/C3 → C2 ⊆ Out C4⋊C896C4:C8:1S3192,42
C4⋊C8⋊2S3 = C4.D24φ: S3/C3 → C2 ⊆ Out C4⋊C896C4:C8:2S3192,44
C4⋊C8⋊3S3 = C4⋊D24φ: S3/C3 → C2 ⊆ Out C4⋊C896C4:C8:3S3192,402
C4⋊C8⋊4S3 = D12⋊4Q8φ: S3/C3 → C2 ⊆ Out C4⋊C896C4:C8:4S3192,405
C4⋊C8⋊5S3 = D12.19D4φ: S3/C3 → C2 ⊆ Out C4⋊C896C4:C8:5S3192,403
C4⋊C8⋊6S3 = C42.36D6φ: S3/C3 → C2 ⊆ Out C4⋊C896C4:C8:6S3192,404
C4⋊C8⋊7S3 = D12.3Q8φ: S3/C3 → C2 ⊆ Out C4⋊C896C4:C8:7S3192,406
C4⋊C8⋊8S3 = C12⋊SD16φ: S3/C3 → C2 ⊆ Out C4⋊C896C4:C8:8S3192,400
C4⋊C8⋊9S3 = D12⋊3Q8φ: S3/C3 → C2 ⊆ Out C4⋊C896C4:C8:9S3192,401
C4⋊C8⋊10S3 = Dic6⋊8D4φ: S3/C3 → C2 ⊆ Out C4⋊C896C4:C8:10S3192,407
C4⋊C8⋊11S3 = C42.202D6φ: S3/C3 → C2 ⊆ Out C4⋊C896C4:C8:11S3192,394
C4⋊C8⋊12S3 = D6⋊3M4(2)φ: S3/C3 → C2 ⊆ Out C4⋊C896C4:C8:12S3192,395
C4⋊C8⋊13S3 = C12⋊M4(2)φ: S3/C3 → C2 ⊆ Out C4⋊C896C4:C8:13S3192,396
C4⋊C8⋊14S3 = C12⋊2M4(2)φ: S3/C3 → C2 ⊆ Out C4⋊C896C4:C8:14S3192,397
C4⋊C8⋊15S3 = C42.30D6φ: S3/C3 → C2 ⊆ Out C4⋊C896C4:C8:15S3192,398
C4⋊C8⋊16S3 = C42.31D6φ: S3/C3 → C2 ⊆ Out C4⋊C896C4:C8:16S3192,399
C4⋊C8⋊17S3 = C42.200D6φ: trivial image96C4:C8:17S3192,392
C4⋊C8⋊18S3 = D12⋊C8φ: trivial image96C4:C8:18S3192,393

Non-split extensions G=N.Q with N=C4⋊C8 and Q=S3
extensionφ:Q→Out NdρLabelID
C4⋊C8.1S3 = C12.53D8φ: S3/C3 → C2 ⊆ Out C4⋊C8192C4:C8.1S3192,38
C4⋊C8.2S3 = C12.39SD16φ: S3/C3 → C2 ⊆ Out C4⋊C8192C4:C8.2S3192,39
C4⋊C8.3S3 = C4.Dic12φ: S3/C3 → C2 ⊆ Out C4⋊C8192C4:C8.3S3192,40
C4⋊C8.4S3 = C12.47D8φ: S3/C3 → C2 ⊆ Out C4⋊C8192C4:C8.4S3192,41
C4⋊C8.5S3 = Dic6⋊2C8φ: S3/C3 → C2 ⊆ Out C4⋊C8192C4:C8.5S3192,43
C4⋊C8.6S3 = C12.2D8φ: S3/C3 → C2 ⊆ Out C4⋊C8192C4:C8.6S3192,45
C4⋊C8.7S3 = C4⋊Dic12φ: S3/C3 → C2 ⊆ Out C4⋊C8192C4:C8.7S3192,408
C4⋊C8.8S3 = Dic6⋊3Q8φ: S3/C3 → C2 ⊆ Out C4⋊C8192C4:C8.8S3192,409
C4⋊C8.9S3 = Dic6.3Q8φ: S3/C3 → C2 ⊆ Out C4⋊C8192C4:C8.9S3192,388
C4⋊C8.10S3 = Dic6⋊4Q8φ: S3/C3 → C2 ⊆ Out C4⋊C8192C4:C8.10S3192,410
C4⋊C8.11S3 = C42.27D6φ: S3/C3 → C2 ⊆ Out C4⋊C8192C4:C8.11S3192,387
C4⋊C8.12S3 = C42.198D6φ: S3/C3 → C2 ⊆ Out C4⋊C8192C4:C8.12S3192,390
C4⋊C8.13S3 = Dic6⋊C8φ: trivial image192C4:C8.13S3192,389

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