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Extensions 1→N→G→Q→1 with N=C4:Q8 and Q=S3

Direct product G=NxQ with N=C4:Q8 and Q=S3
dρLabelID
S3xC4:Q896S3xC4:Q8192,1282

Semidirect products G=N:Q with N=C4:Q8 and Q=S3
extensionφ:Q→Out NdρLabelID
C4:Q8:1S3 = C12:5SD16φ: S3/C3 → C2 ⊆ Out C4:Q896C4:Q8:1S3192,642
C4:Q8:2S3 = D12:5Q8φ: S3/C3 → C2 ⊆ Out C4:Q896C4:Q8:2S3192,643
C4:Q8:3S3 = C12:6SD16φ: S3/C3 → C2 ⊆ Out C4:Q896C4:Q8:3S3192,644
C4:Q8:4S3 = C42.80D6φ: S3/C3 → C2 ⊆ Out C4:Q896C4:Q8:4S3192,645
C4:Q8:5S3 = D12:6Q8φ: S3/C3 → C2 ⊆ Out C4:Q896C4:Q8:5S3192,646
C4:Q8:6S3 = C12.D8φ: S3/C3 → C2 ⊆ Out C4:Q896C4:Q8:6S3192,647
C4:Q8:7S3 = C42.82D6φ: S3/C3 → C2 ⊆ Out C4:Q896C4:Q8:7S3192,648
C4:Q8:8S3 = D12.15D4φ: S3/C3 → C2 ⊆ Out C4:Q8484C4:Q8:8S3192,654
C4:Q8:9S3 = C42.171D6φ: S3/C3 → C2 ⊆ Out C4:Q896C4:Q8:9S3192,1283
C4:Q8:10S3 = D12:12D4φ: S3/C3 → C2 ⊆ Out C4:Q896C4:Q8:10S3192,1285
C4:Q8:11S3 = D12:8Q8φ: S3/C3 → C2 ⊆ Out C4:Q896C4:Q8:11S3192,1286
C4:Q8:12S3 = C42.174D6φ: S3/C3 → C2 ⊆ Out C4:Q896C4:Q8:12S3192,1288
C4:Q8:13S3 = D12:9Q8φ: S3/C3 → C2 ⊆ Out C4:Q896C4:Q8:13S3192,1289
C4:Q8:14S3 = C42.176D6φ: S3/C3 → C2 ⊆ Out C4:Q896C4:Q8:14S3192,1290
C4:Q8:15S3 = C42.177D6φ: S3/C3 → C2 ⊆ Out C4:Q896C4:Q8:15S3192,1291
C4:Q8:16S3 = C42.178D6φ: S3/C3 → C2 ⊆ Out C4:Q896C4:Q8:16S3192,1292
C4:Q8:17S3 = C42.179D6φ: S3/C3 → C2 ⊆ Out C4:Q896C4:Q8:17S3192,1293
C4:Q8:18S3 = C42.180D6φ: S3/C3 → C2 ⊆ Out C4:Q896C4:Q8:18S3192,1294
C4:Q8:19S3 = C42.240D6φ: trivial image96C4:Q8:19S3192,1284
C4:Q8:20S3 = C42.241D6φ: trivial image96C4:Q8:20S3192,1287

Non-split extensions G=N.Q with N=C4:Q8 and Q=S3
extensionφ:Q→Out NdρLabelID
C4:Q8.1S3 = C12.5Q16φ: S3/C3 → C2 ⊆ Out C4:Q8192C4:Q8.1S3192,105
C4:Q8.2S3 = C12.10D8φ: S3/C3 → C2 ⊆ Out C4:Q8192C4:Q8.2S3192,106
C4:Q8.3S3 = C42.3Dic3φ: S3/C3 → C2 ⊆ Out C4:Q8484C4:Q8.3S3192,107
C4:Q8.4S3 = C12.17D8φ: S3/C3 → C2 ⊆ Out C4:Q8192C4:Q8.4S3192,637
C4:Q8.5S3 = C12.9Q16φ: S3/C3 → C2 ⊆ Out C4:Q8192C4:Q8.5S3192,638
C4:Q8.6S3 = C12.SD16φ: S3/C3 → C2 ⊆ Out C4:Q8192C4:Q8.6S3192,639
C4:Q8.7S3 = C42.76D6φ: S3/C3 → C2 ⊆ Out C4:Q8192C4:Q8.7S3192,640
C4:Q8.8S3 = C42.77D6φ: S3/C3 → C2 ⊆ Out C4:Q8192C4:Q8.8S3192,641
C4:Q8.9S3 = C12:Q16φ: S3/C3 → C2 ⊆ Out C4:Q8192C4:Q8.9S3192,649
C4:Q8.10S3 = Dic6:5Q8φ: S3/C3 → C2 ⊆ Out C4:Q8192C4:Q8.10S3192,650
C4:Q8.11S3 = C12:3Q16φ: S3/C3 → C2 ⊆ Out C4:Q8192C4:Q8.11S3192,651
C4:Q8.12S3 = C12.Q16φ: S3/C3 → C2 ⊆ Out C4:Q8192C4:Q8.12S3192,652
C4:Q8.13S3 = Dic6:6Q8φ: S3/C3 → C2 ⊆ Out C4:Q8192C4:Q8.13S3192,653
C4:Q8.14S3 = Dic6:8Q8φ: S3/C3 → C2 ⊆ Out C4:Q8192C4:Q8.14S3192,1280
C4:Q8.15S3 = Dic6:9Q8φ: S3/C3 → C2 ⊆ Out C4:Q8192C4:Q8.15S3192,1281

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