Extensions 1→N→G→Q→1 with N=C4.Q8 and Q=S3

Direct product G=N×Q with N=C4.Q8 and Q=S3
dρLabelID
S3×C4.Q896S3xC4.Q8192,418

Semidirect products G=N:Q with N=C4.Q8 and Q=S3
extensionφ:Q→Out NdρLabelID
C4.Q81S3 = D248C4φ: S3/C3C2 ⊆ Out C4.Q8484C4.Q8:1S3192,47
C4.Q82S3 = C8⋊(C4×S3)φ: S3/C3C2 ⊆ Out C4.Q896C4.Q8:2S3192,420
C4.Q83S3 = C247D4φ: S3/C3C2 ⊆ Out C4.Q896C4.Q8:3S3192,424
C4.Q84S3 = C8.2D12φ: S3/C3C2 ⊆ Out C4.Q896C4.Q8:4S3192,426
C4.Q85S3 = D249C4φ: S3/C3C2 ⊆ Out C4.Q896C4.Q8:5S3192,428
C4.Q86S3 = D6.2SD16φ: S3/C3C2 ⊆ Out C4.Q896C4.Q8:6S3192,421
C4.Q87S3 = D6.4SD16φ: S3/C3C2 ⊆ Out C4.Q896C4.Q8:7S3192,422
C4.Q88S3 = C88D12φ: S3/C3C2 ⊆ Out C4.Q896C4.Q8:8S3192,423
C4.Q89S3 = C4.Q8⋊S3φ: S3/C3C2 ⊆ Out C4.Q896C4.Q8:9S3192,425
C4.Q810S3 = C6.(C4○D8)φ: S3/C3C2 ⊆ Out C4.Q896C4.Q8:10S3192,427
C4.Q811S3 = D12⋊Q8φ: S3/C3C2 ⊆ Out C4.Q896C4.Q8:11S3192,429
C4.Q812S3 = D12.Q8φ: S3/C3C2 ⊆ Out C4.Q896C4.Q8:12S3192,430
C4.Q813S3 = Dic38SD16φ: trivial image96C4.Q8:13S3192,411
C4.Q814S3 = (S3×C8)⋊C4φ: trivial image96C4.Q8:14S3192,419

Non-split extensions G=N.Q with N=C4.Q8 and Q=S3
extensionφ:Q→Out NdρLabelID
C4.Q8.1S3 = C8.Dic6φ: S3/C3C2 ⊆ Out C4.Q8484C4.Q8.1S3192,46
C4.Q8.2S3 = Dic129C4φ: S3/C3C2 ⊆ Out C4.Q8192C4.Q8.2S3192,412
C4.Q8.3S3 = C243Q8φ: S3/C3C2 ⊆ Out C4.Q8192C4.Q8.3S3192,415
C4.Q8.4S3 = Dic6⋊Q8φ: S3/C3C2 ⊆ Out C4.Q8192C4.Q8.4S3192,413
C4.Q8.5S3 = C245Q8φ: S3/C3C2 ⊆ Out C4.Q8192C4.Q8.5S3192,414
C4.Q8.6S3 = Dic6.Q8φ: S3/C3C2 ⊆ Out C4.Q8192C4.Q8.6S3192,416
C4.Q8.7S3 = C8.8Dic6φ: S3/C3C2 ⊆ Out C4.Q8192C4.Q8.7S3192,417

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