Extensions 1→N→G→Q→1 with N=S3xC26 and Q=C2

Direct product G=NxQ with N=S3xC26 and Q=C2
dρLabelID
S3xC2xC26156S3xC2xC26312,59

Semidirect products G=N:Q with N=S3xC26 and Q=C2
extensionφ:Q→Out NdρLabelID
(S3xC26):1C2 = C39:D4φ: C2/C1C2 ⊆ Out S3xC261564-(S3xC26):1C2312,18
(S3xC26):2C2 = C13:D12φ: C2/C1C2 ⊆ Out S3xC261564+(S3xC26):2C2312,20
(S3xC26):3C2 = C2xS3xD13φ: C2/C1C2 ⊆ Out S3xC26784+(S3xC26):3C2312,54
(S3xC26):4C2 = C13xD12φ: C2/C1C2 ⊆ Out S3xC261562(S3xC26):4C2312,34
(S3xC26):5C2 = C13xC3:D4φ: C2/C1C2 ⊆ Out S3xC261562(S3xC26):5C2312,36

Non-split extensions G=N.Q with N=S3xC26 and Q=C2
extensionφ:Q→Out NdρLabelID
(S3xC26).C2 = S3xDic13φ: C2/C1C2 ⊆ Out S3xC261564-(S3xC26).C2312,16
(S3xC26).2C2 = S3xC52φ: trivial image1562(S3xC26).2C2312,33

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