Extensions 1→N→G→Q→1 with N=C3xD5 and Q=S3

Direct product G=NxQ with N=C3xD5 and Q=S3
dρLabelID
C3xS3xD5304C3xS3xD5180,26

Semidirect products G=N:Q with N=C3xD5 and Q=S3
extensionφ:Q→Out NdρLabelID
(C3xD5):S3 = D5xC3:S3φ: S3/C3C2 ⊆ Out C3xD545(C3xD5):S3180,27

Non-split extensions G=N.Q with N=C3xD5 and Q=S3
extensionφ:Q→Out NdρLabelID
(C3xD5).1S3 = D5xD9φ: S3/C3C2 ⊆ Out C3xD5454+(C3xD5).1S3180,7
(C3xD5).2S3 = C9:F5φ: S3/C3C2 ⊆ Out C3xD5454(C3xD5).2S3180,6
(C3xD5).3S3 = C32:3F5φ: S3/C3C2 ⊆ Out C3xD545(C3xD5).3S3180,22
(C3xD5).4S3 = C3xC3:F5φ: S3/C3C2 ⊆ Out C3xD5304(C3xD5).4S3180,21

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