Extensions 1→N→G→Q→1 with N=D6 and Q=D20

Direct product G=NxQ with N=D6 and Q=D20
dρLabelID
C2xS3xD20120C2xS3xD20480,1088

Semidirect products G=N:Q with N=D6 and Q=D20
extensionφ:Q→Out NdρLabelID
D6:1D20 = D6:D20φ: D20/C20C2 ⊆ Out D6240D6:1D20480,530
D6:2D20 = C60:4D4φ: D20/C20C2 ⊆ Out D6240D6:2D20480,532
D6:3D20 = C60:6D4φ: D20/C20C2 ⊆ Out D6240D6:3D20480,536
D6:4D20 = D6:4D20φ: D20/D10C2 ⊆ Out D6120D6:4D20480,550
D6:5D20 = D30:5D4φ: D20/D10C2 ⊆ Out D6120D6:5D20480,552

Non-split extensions G=N.Q with N=D6 and Q=D20
extensionφ:Q→Out NdρLabelID
D6.1D20 = D6.1D20φ: D20/C20C2 ⊆ Out D62404D6.1D20480,348
D6.2D20 = D40:7S3φ: D20/C20C2 ⊆ Out D62404-D6.2D20480,349
D6.3D20 = D120:5C2φ: D20/C20C2 ⊆ Out D62404+D6.3D20480,351
D6.4D20 = C40:1D6φ: D20/D10C2 ⊆ Out D61204+D6.4D20480,329
D6.5D20 = D40:S3φ: D20/D10C2 ⊆ Out D61204D6.5D20480,330
D6.6D20 = Dic20:S3φ: D20/D10C2 ⊆ Out D62404D6.6D20480,339
D6.7D20 = C40.2D6φ: D20/D10C2 ⊆ Out D62404-D6.7D20480,350
D6.8D20 = D6.D20φ: D20/D10C2 ⊆ Out D6240D6.8D20480,503
D6.9D20 = D6.9D20φ: D20/D10C2 ⊆ Out D6240D6.9D20480,533
D6.10D20 = S3xC40:C2φ: trivial image1204D6.10D20480,327
D6.11D20 = S3xD40φ: trivial image1204+D6.11D20480,328
D6.12D20 = S3xDic20φ: trivial image2404-D6.12D20480,338
D6.13D20 = S3xC4:Dic5φ: trivial image240D6.13D20480,502
D6.14D20 = S3xD10:C4φ: trivial image120D6.14D20480,548

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