Extensions 1→N→G→Q→1 with N=Q8 and Q=S3xC7

Direct product G=NxQ with N=Q8 and Q=S3xC7
dρLabelID
S3xC7xQ81684S3xC7xQ8336,190

Semidirect products G=N:Q with N=Q8 and Q=S3xC7
extensionφ:Q→Out NdρLabelID
Q8:(S3xC7) = C7xGL2(F3)φ: S3xC7/C7S3 ⊆ Out Q8562Q8:(S3xC7)336,116
Q8:2(S3xC7) = C7xQ8:2S3φ: S3xC7/C21C2 ⊆ Out Q81684Q8:2(S3xC7)336,87
Q8:3(S3xC7) = C7xQ8:3S3φ: trivial image1684Q8:3(S3xC7)336,191

Non-split extensions G=N.Q with N=Q8 and Q=S3xC7
extensionφ:Q→Out NdρLabelID
Q8.(S3xC7) = C7xCSU2(F3)φ: S3xC7/C7S3 ⊆ Out Q81122Q8.(S3xC7)336,115
Q8.2(S3xC7) = C7xC3:Q16φ: S3xC7/C21C2 ⊆ Out Q83364Q8.2(S3xC7)336,88

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