Extensions 1→N→G→Q→1 with N=D6 and Q=Dic10

Direct product G=NxQ with N=D6 and Q=Dic10
dρLabelID
C2xS3xDic10240C2xS3xDic10480,1078

Semidirect products G=N:Q with N=D6 and Q=Dic10
extensionφ:Q→Out NdρLabelID
D6:1Dic10 = D6:1Dic10φ: Dic10/Dic5C2 ⊆ Out D6240D6:1Dic10480,486
D6:2Dic10 = D6:2Dic10φ: Dic10/Dic5C2 ⊆ Out D6240D6:2Dic10480,493
D6:3Dic10 = D6:3Dic10φ: Dic10/Dic5C2 ⊆ Out D6240D6:3Dic10480,508
D6:4Dic10 = D6:4Dic10φ: Dic10/Dic5C2 ⊆ Out D6240D6:4Dic10480,512
D6:5Dic10 = D6:Dic10φ: Dic10/C20C2 ⊆ Out D6240D6:5Dic10480,428
D6:6Dic10 = C60.45D4φ: Dic10/C20C2 ⊆ Out D6240D6:6Dic10480,441
D6:7Dic10 = C60.46D4φ: Dic10/C20C2 ⊆ Out D6240D6:7Dic10480,445

Non-split extensions G=N.Q with N=D6 and Q=Dic10
extensionφ:Q→Out NdρLabelID
D6.1Dic10 = S3xC10.D4φ: trivial image240D6.1Dic10480,475
D6.2Dic10 = S3xC4:Dic5φ: trivial image240D6.2Dic10480,502

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