Extensions 1→N→G→Q→1 with N=C4≀C2 and Q=S3

Direct product G=N×Q with N=C4≀C2 and Q=S3
dρLabelID
S3×C4≀C2244S3xC4wrC2192,379

Semidirect products G=N:Q with N=C4≀C2 and Q=S3
extensionφ:Q→Out NdρLabelID
C4≀C21S3 = Q85D12φ: S3/C3C2 ⊆ Out C4≀C2244+C4wrC2:1S3192,381
C4≀C22S3 = C425D6φ: S3/C3C2 ⊆ Out C4≀C2484C4wrC2:2S3192,384
C4≀C23S3 = Q8.14D12φ: S3/C3C2 ⊆ Out C4≀C2484-C4wrC2:3S3192,385
C4≀C24S3 = D4.10D12φ: S3/C3C2 ⊆ Out C4≀C2484C4wrC2:4S3192,386
C4≀C25S3 = C423D6φ: S3/C3C2 ⊆ Out C4≀C2484C4wrC2:5S3192,380
C4≀C26S3 = M4(2).22D6φ: S3/C3C2 ⊆ Out C4≀C2484C4wrC2:6S3192,382
C4≀C27S3 = C42.196D6φ: trivial image484C4wrC2:7S3192,383


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