Extensions 1→N→G→Q→1 with N=C7xD5 and Q=S3

Direct product G=NxQ with N=C7xD5 and Q=S3
dρLabelID
S3xC7xD51054S3xC7xD5420,27

Semidirect products G=N:Q with N=C7xD5 and Q=S3
extensionφ:Q→Out NdρLabelID
(C7xD5):S3 = D5xD21φ: S3/C3C2 ⊆ Out C7xD51054+(C7xD5):S3420,28

Non-split extensions G=N.Q with N=C7xD5 and Q=S3
extensionφ:Q→Out NdρLabelID
(C7xD5).1S3 = C5:Dic21φ: S3/C3C2 ⊆ Out C7xD51054(C7xD5).1S3420,23
(C7xD5).2S3 = C7xC3:F5φ: S3/C3C2 ⊆ Out C7xD51054(C7xD5).2S3420,22

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