# Extensions 1→N→G→Q→1 with N=C22⋊C8 and Q=S3

Direct product G=N×Q with N=C22⋊C8 and Q=S3
dρLabelID
S3×C22⋊C848S3xC2^2:C8192,283

Semidirect products G=N:Q with N=C22⋊C8 and Q=S3
extensionφ:Q→Out NdρLabelID
C22⋊C81S3 = (C22×S3)⋊C8φ: S3/C3C2 ⊆ Out C22⋊C848C2^2:C8:1S3192,27
C22⋊C82S3 = C22.2D24φ: S3/C3C2 ⊆ Out C22⋊C848C2^2:C8:2S3192,29
C22⋊C83S3 = D1213D4φ: S3/C3C2 ⊆ Out C22⋊C848C2^2:C8:3S3192,291
C22⋊C84S3 = C22.D24φ: S3/C3C2 ⊆ Out C22⋊C896C2^2:C8:4S3192,295
C22⋊C85S3 = D12.32D4φ: S3/C3C2 ⊆ Out C22⋊C896C2^2:C8:5S3192,292
C22⋊C86S3 = D1214D4φ: S3/C3C2 ⊆ Out C22⋊C896C2^2:C8:6S3192,293
C22⋊C87S3 = C23.18D12φ: S3/C3C2 ⊆ Out C22⋊C896C2^2:C8:7S3192,296
C22⋊C88S3 = D12.31D4φ: S3/C3C2 ⊆ Out C22⋊C848C2^2:C8:8S3192,290
C22⋊C89S3 = C23.43D12φ: S3/C3C2 ⊆ Out C22⋊C896C2^2:C8:9S3192,294
C22⋊C810S3 = Dic614D4φ: S3/C3C2 ⊆ Out C22⋊C896C2^2:C8:10S3192,297
C22⋊C811S3 = D6⋊M4(2)φ: S3/C3C2 ⊆ Out C22⋊C848C2^2:C8:11S3192,285
C22⋊C812S3 = D6⋊C8⋊C2φ: S3/C3C2 ⊆ Out C22⋊C896C2^2:C8:12S3192,286
C22⋊C813S3 = D62M4(2)φ: S3/C3C2 ⊆ Out C22⋊C896C2^2:C8:13S3192,287
C22⋊C814S3 = Dic3⋊M4(2)φ: S3/C3C2 ⊆ Out C22⋊C896C2^2:C8:14S3192,288
C22⋊C815S3 = C3⋊C826D4φ: S3/C3C2 ⊆ Out C22⋊C896C2^2:C8:15S3192,289
C22⋊C816S3 = C3⋊D4⋊C8φ: trivial image96C2^2:C8:16S3192,284

Non-split extensions G=N.Q with N=C22⋊C8 and Q=S3
extensionφ:Q→Out NdρLabelID
C22⋊C8.1S3 = C23.35D12φ: S3/C3C2 ⊆ Out C22⋊C848C2^2:C8.1S3192,26
C22⋊C8.2S3 = (C2×Dic3)⋊C8φ: S3/C3C2 ⊆ Out C22⋊C896C2^2:C8.2S3192,28
C22⋊C8.3S3 = C23.40D12φ: S3/C3C2 ⊆ Out C22⋊C896C2^2:C8.3S3192,281
C22⋊C8.4S3 = Dic6.32D4φ: S3/C3C2 ⊆ Out C22⋊C896C2^2:C8.4S3192,298
C22⋊C8.5S3 = C23.15D12φ: S3/C3C2 ⊆ Out C22⋊C896C2^2:C8.5S3192,282
C22⋊C8.6S3 = C23.39D12φ: S3/C3C2 ⊆ Out C22⋊C896C2^2:C8.6S3192,280
C22⋊C8.7S3 = Dic3.M4(2)φ: S3/C3C2 ⊆ Out C22⋊C896C2^2:C8.7S3192,278
C22⋊C8.8S3 = C24⋊C4⋊C2φ: S3/C3C2 ⊆ Out C22⋊C896C2^2:C8.8S3192,279
C22⋊C8.9S3 = Dic3.5M4(2)φ: trivial image96C2^2:C8.9S3192,277

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