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Extensions 1→N→G→Q→1 with N=C4:Dic5 and Q=S3

Direct product G=NxQ with N=C4:Dic5 and Q=S3
dρLabelID
S3xC4:Dic5240S3xC4:Dic5480,502

Semidirect products G=N:Q with N=C4:Dic5 and Q=S3
extensionφ:Q→Out NdρLabelID
C4:Dic5:1S3 = D60:12C4φ: S3/C3 → C2 ⊆ Out C4:Dic5240C4:Dic5:1S3480,44
C4:Dic5:2S3 = D6:C4.D5φ: S3/C3 → C2 ⊆ Out C4:Dic5240C4:Dic5:2S3480,417
C4:Dic5:3S3 = C4:Dic5:S3φ: S3/C3 → C2 ⊆ Out C4:Dic5240C4:Dic5:3S3480,421
C4:Dic5:4S3 = C60.45D4φ: S3/C3 → C2 ⊆ Out C4:Dic5240C4:Dic5:4S3480,441
C4:Dic5:5S3 = D6.D20φ: S3/C3 → C2 ⊆ Out C4:Dic5240C4:Dic5:5S3480,503
C4:Dic5:6S3 = D30:4Q8φ: S3/C3 → C2 ⊆ Out C4:Dic5240C4:Dic5:6S3480,505
C4:Dic5:7S3 = D6:4Dic10φ: S3/C3 → C2 ⊆ Out C4:Dic5240C4:Dic5:7S3480,512
C4:Dic5:8S3 = D30.7D4φ: S3/C3 → C2 ⊆ Out C4:Dic5240C4:Dic5:8S3480,514
C4:Dic5:9S3 = C60:6D4φ: S3/C3 → C2 ⊆ Out C4:Dic5240C4:Dic5:9S3480,536
C4:Dic5:10S3 = D12:Dic5φ: S3/C3 → C2 ⊆ Out C4:Dic5240C4:Dic5:10S3480,42
C4:Dic5:11S3 = (C4xD15):8C4φ: S3/C3 → C2 ⊆ Out C4:Dic5240C4:Dic5:11S3480,423
C4:Dic5:12S3 = D30:9Q8φ: S3/C3 → C2 ⊆ Out C4:Dic5240C4:Dic5:12S3480,459
C4:Dic5:13S3 = Dic15:8D4φ: S3/C3 → C2 ⊆ Out C4:Dic5240C4:Dic5:13S3480,511
C4:Dic5:14S3 = D30.2Q8φ: S3/C3 → C2 ⊆ Out C4:Dic5240C4:Dic5:14S3480,513
C4:Dic5:15S3 = C20:2D12φ: S3/C3 → C2 ⊆ Out C4:Dic5240C4:Dic5:15S3480,542
C4:Dic5:16S3 = (S3xC20):5C4φ: trivial image240C4:Dic5:16S3480,414
C4:Dic5:17S3 = D60:14C4φ: trivial image240C4:Dic5:17S3480,504

Non-split extensions G=N.Q with N=C4:Dic5 and Q=S3
extensionφ:Q→Out NdρLabelID
C4:Dic5.1S3 = Dic30:12C4φ: S3/C3 → C2 ⊆ Out C4:Dic5480C4:Dic5.1S3480,50
C4:Dic5.2S3 = C60.Q8φ: S3/C3 → C2 ⊆ Out C4:Dic5480C4:Dic5.2S3480,63
C4:Dic5.3S3 = C60.5Q8φ: S3/C3 → C2 ⊆ Out C4:Dic5480C4:Dic5.3S3480,66
C4:Dic5.4S3 = Dic15.2Q8φ: S3/C3 → C2 ⊆ Out C4:Dic5480C4:Dic5.4S3480,415
C4:Dic5.5S3 = Dic3.2Dic10φ: S3/C3 → C2 ⊆ Out C4:Dic5480C4:Dic5.5S3480,422
C4:Dic5.6S3 = C60.6Q8φ: S3/C3 → C2 ⊆ Out C4:Dic5480C4:Dic5.6S3480,457
C4:Dic5.7S3 = C20:4Dic6φ: S3/C3 → C2 ⊆ Out C4:Dic5480C4:Dic5.7S3480,545
C4:Dic5.8S3 = Dic6:Dic5φ: S3/C3 → C2 ⊆ Out C4:Dic5480C4:Dic5.8S3480,48
C4:Dic5.9S3 = C30.SD16φ: S3/C3 → C2 ⊆ Out C4:Dic5480C4:Dic5.9S3480,62
C4:Dic5.10S3 = C30.20D8φ: S3/C3 → C2 ⊆ Out C4:Dic5480C4:Dic5.10S3480,65
C4:Dic5.11S3 = Dic15:7Q8φ: S3/C3 → C2 ⊆ Out C4:Dic5480C4:Dic5.11S3480,420
C4:Dic5.12S3 = C12.Dic10φ: S3/C3 → C2 ⊆ Out C4:Dic5480C4:Dic5.12S3480,460
C4:Dic5.13S3 = C20:Dic6φ: S3/C3 → C2 ⊆ Out C4:Dic5480C4:Dic5.13S3480,546
C4:Dic5.14S3 = Dic30:14C4φ: trivial image480C4:Dic5.14S3480,416

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