Extensions 1→N→G→Q→1 with N=C10.D4 and Q=S3

Direct product G=N×Q with N=C10.D4 and Q=S3
dρLabelID
S3×C10.D4240S3xC10.D4480,475

Semidirect products G=N:Q with N=C10.D4 and Q=S3
extensionφ:Q→Out NdρLabelID
C10.D41S3 = D6⋊Dic5⋊C2φ: S3/C3C2 ⊆ Out C10.D4240C10.D4:1S3480,427
C10.D42S3 = D6⋊Dic10φ: S3/C3C2 ⊆ Out C10.D4240C10.D4:2S3480,428
C10.D43S3 = C10.D4⋊S3φ: S3/C3C2 ⊆ Out C10.D4240C10.D4:3S3480,456
C10.D44S3 = C605C4⋊C2φ: S3/C3C2 ⊆ Out C10.D4240C10.D4:4S3480,418
C10.D45S3 = D62Dic10φ: S3/C3C2 ⊆ Out C10.D4240C10.D4:5S3480,493
C10.D46S3 = D30⋊D4φ: S3/C3C2 ⊆ Out C10.D4240C10.D4:6S3480,496
C10.D47S3 = D63Dic10φ: S3/C3C2 ⊆ Out C10.D4240C10.D4:7S3480,508
C10.D48S3 = D30.6D4φ: S3/C3C2 ⊆ Out C10.D4240C10.D4:8S3480,509
C10.D49S3 = D30.35D4φ: S3/C3C2 ⊆ Out C10.D4240C10.D4:9S3480,431
C10.D410S3 = D6⋊Dic5.C2φ: S3/C3C2 ⊆ Out C10.D4240C10.D4:10S3480,443
C10.D411S3 = D308Q8φ: S3/C3C2 ⊆ Out C10.D4240C10.D4:11S3480,453
C10.D412S3 = (S3×Dic5)⋊C4φ: S3/C3C2 ⊆ Out C10.D4240C10.D4:12S3480,476
C10.D413S3 = D30.Q8φ: S3/C3C2 ⊆ Out C10.D4240C10.D4:13S3480,480
C10.D414S3 = Dic1514D4φ: S3/C3C2 ⊆ Out C10.D4240C10.D4:14S3480,482
C10.D415S3 = C4⋊Dic3⋊D5φ: S3/C3C2 ⊆ Out C10.D4240C10.D4:15S3480,413
C10.D416S3 = Dic5⋊D12φ: S3/C3C2 ⊆ Out C10.D4240C10.D4:16S3480,492
C10.D417S3 = D302Q8φ: S3/C3C2 ⊆ Out C10.D4240C10.D4:17S3480,495
C10.D418S3 = (C2×D12).D5φ: S3/C3C2 ⊆ Out C10.D4240C10.D4:18S3480,499
C10.D419S3 = D303Q8φ: S3/C3C2 ⊆ Out C10.D4240C10.D4:19S3480,500
C10.D420S3 = D30.23(C2×C4)φ: trivial image240C10.D4:20S3480,479
C10.D421S3 = C1522(C4×D4)φ: trivial image240C10.D4:21S3480,522

Non-split extensions G=N.Q with N=C10.D4 and Q=S3
extensionφ:Q→Out NdρLabelID
C10.D4.1S3 = Dic3.3Dic10φ: S3/C3C2 ⊆ Out C10.D4480C10.D4.1S3480,455
C10.D4.2S3 = Dic3⋊Dic10φ: S3/C3C2 ⊆ Out C10.D4480C10.D4.2S3480,404
C10.D4.3S3 = Dic5.1Dic6φ: S3/C3C2 ⊆ Out C10.D4480C10.D4.3S3480,410
C10.D4.4S3 = Dic3.Dic10φ: S3/C3C2 ⊆ Out C10.D4480C10.D4.4S3480,419
C10.D4.5S3 = Dic155Q8φ: S3/C3C2 ⊆ Out C10.D4480C10.D4.5S3480,401
C10.D4.6S3 = Dic15.4Q8φ: S3/C3C2 ⊆ Out C10.D4480C10.D4.6S3480,458
C10.D4.7S3 = Dic15⋊Q8φ: S3/C3C2 ⊆ Out C10.D4480C10.D4.7S3480,405
C10.D4.8S3 = Dic5.2Dic6φ: S3/C3C2 ⊆ Out C10.D4480C10.D4.8S3480,411
C10.D4.9S3 = Dic15.Q8φ: S3/C3C2 ⊆ Out C10.D4480C10.D4.9S3480,412
C10.D4.10S3 = Dic35Dic10φ: trivial image480C10.D4.10S3480,400

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