# Extensions 1→N→G→Q→1 with N=C42⋊4S3 and Q=C2

Direct product G=N×Q with N=C424S3 and Q=C2
dρLabelID
C2×C424S348C2xC4^2:4S3192,486

Semidirect products G=N:Q with N=C424S3 and Q=C2
extensionφ:Q→Out NdρLabelID
C424S31C2 = D244C4φ: C2/C1C2 ⊆ Out C424S3484C4^2:4S3:1C2192,276
C424S32C2 = C426D6φ: C2/C1C2 ⊆ Out C424S3484C4^2:4S3:2C2192,564
C424S33C2 = S3×C4≀C2φ: C2/C1C2 ⊆ Out C424S3244C4^2:4S3:3C2192,379
C424S34C2 = C423D6φ: C2/C1C2 ⊆ Out C424S3484C4^2:4S3:4C2192,380
C424S35C2 = Q85D12φ: C2/C1C2 ⊆ Out C424S3244+C4^2:4S3:5C2192,381
C424S36C2 = M4(2).22D6φ: C2/C1C2 ⊆ Out C424S3484C4^2:4S3:6C2192,382
C424S37C2 = C42.196D6φ: C2/C1C2 ⊆ Out C424S3484C4^2:4S3:7C2192,383
C424S38C2 = C425D6φ: C2/C1C2 ⊆ Out C424S3484C4^2:4S3:8C2192,384
C424S39C2 = Q8.14D12φ: C2/C1C2 ⊆ Out C424S3484-C4^2:4S3:9C2192,385
C424S310C2 = D4.10D12φ: C2/C1C2 ⊆ Out C424S3484C4^2:4S3:10C2192,386
C424S311C2 = C427D6φ: C2/C1C2 ⊆ Out C424S3484C4^2:4S3:11C2192,620
C424S312C2 = D12.14D4φ: C2/C1C2 ⊆ Out C424S3484C4^2:4S3:12C2192,621
C424S313C2 = C428D6φ: C2/C1C2 ⊆ Out C424S3244C4^2:4S3:13C2192,636
C424S314C2 = D12.15D4φ: C2/C1C2 ⊆ Out C424S3484C4^2:4S3:14C2192,654
C424S315C2 = D2411C4φ: trivial image482C4^2:4S3:15C2192,259

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