Extensions 1→N→G→Q→1 with N=C5xD5 and Q=S3

Direct product G=NxQ with N=C5xD5 and Q=S3
dρLabelID
C5xS3xD5304C5xS3xD5300,37

Semidirect products G=N:Q with N=C5xD5 and Q=S3
extensionφ:Q→Out NdρLabelID
(C5xD5):S3 = D5xD15φ: S3/C3C2 ⊆ Out C5xD5304+(C5xD5):S3300,39

Non-split extensions G=N.Q with N=C5xD5 and Q=S3
extensionφ:Q→Out NdρLabelID
(C5xD5).1S3 = C5xC3:F5φ: S3/C3C2 ⊆ Out C5xD5604(C5xD5).1S3300,32
(C5xD5).2S3 = D5.D15φ: S3/C3C2 ⊆ Out C5xD5604(C5xD5).2S3300,33

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