Extensions 1→N→G→Q→1 with N=D10 and Q=S3

Direct product G=NxQ with N=D10 and Q=S3
dρLabelID
C2xS3xD5304+C2xS3xD5120,42

Semidirect products G=N:Q with N=D10 and Q=S3
extensionφ:Q→Out NdρLabelID
D10:1S3 = C15:D4φ: S3/C3C2 ⊆ Out D10604-D10:1S3120,11
D10:2S3 = C3:D20φ: S3/C3C2 ⊆ Out D10604+D10:2S3120,12

Non-split extensions G=N.Q with N=D10 and Q=S3
extensionφ:Q→Out NdρLabelID
D10.S3 = C2xC3:F5φ: S3/C3C2 ⊆ Out D10304D10.S3120,41
D10.2S3 = D5xDic3φ: trivial image604-D10.2S3120,8

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