Extensions 1→N→G→Q→1 with N=D8 and Q=S3

Direct product G=NxQ with N=D8 and Q=S3
dρLabelID
S3xD8244+S3xD896,117

Semidirect products G=N:Q with N=D8 and Q=S3
extensionφ:Q→Out NdρLabelID
D8:1S3 = C3:D16φ: S3/C3C2 ⊆ Out D8484+D8:1S396,33
D8:2S3 = D8:S3φ: S3/C3C2 ⊆ Out D8244D8:2S396,118
D8:3S3 = D8:3S3φ: trivial image484-D8:3S396,119

Non-split extensions G=N.Q with N=D8 and Q=S3
extensionφ:Q→Out NdρLabelID
D8.S3 = D8.S3φ: S3/C3C2 ⊆ Out D8484-D8.S396,34

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