Extensions 1→N→G→Q→1 with N=Q8 and Q=C3:S3

Direct product G=NxQ with N=Q8 and Q=C3:S3
dρLabelID
Q8xC3:S372Q8xC3:S3144,174

Semidirect products G=N:Q with N=Q8 and Q=C3:S3
extensionφ:Q→Out NdρLabelID
Q8:(C3:S3) = C6.6S4φ: C3:S3/C3S3 ⊆ Out Q8244+Q8:(C3:S3)144,125
Q8:2(C3:S3) = C32:11SD16φ: C3:S3/C32C2 ⊆ Out Q872Q8:2(C3:S3)144,98
Q8:3(C3:S3) = C12.26D6φ: trivial image72Q8:3(C3:S3)144,175

Non-split extensions G=N.Q with N=Q8 and Q=C3:S3
extensionφ:Q→Out NdρLabelID
Q8.(C3:S3) = C6.5S4φ: C3:S3/C3S3 ⊆ Out Q8484-Q8.(C3:S3)144,124
Q8.2(C3:S3) = C32:7Q16φ: C3:S3/C32C2 ⊆ Out Q8144Q8.2(C3:S3)144,99

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