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

Direct product G=N×Q with N=C2.C42 and Q=S3
dρLabelID
S3×C2.C4296S3xC2.C4^2192,222

Semidirect products G=N:Q with N=C2.C42 and Q=S3
extensionφ:Q→Out NdρLabelID
C2.C42⋊S3 = C23.8S4φ: S3/C1S3 ⊆ Out C2.C42246+C2.C4^2:S3192,181
C2.C422S3 = C22.58(S3×D4)φ: S3/C3C2 ⊆ Out C2.C4296C2.C4^2:2S3192,223
C2.C423S3 = D6⋊(C4⋊C4)φ: S3/C3C2 ⊆ Out C2.C4296C2.C4^2:3S3192,226
C2.C424S3 = D6⋊C45C4φ: S3/C3C2 ⊆ Out C2.C4296C2.C4^2:4S3192,228
C2.C425S3 = C6.(C4⋊D4)φ: S3/C3C2 ⊆ Out C2.C4296C2.C4^2:5S3192,234
C2.C426S3 = (C22×C4).37D6φ: S3/C3C2 ⊆ Out C2.C4296C2.C4^2:6S3192,235
C2.C427S3 = C6.C4≀C2φ: S3/C3C2 ⊆ Out C2.C4248C2.C4^2:7S3192,10
C2.C428S3 = (C2×C4)⋊9D12φ: S3/C3C2 ⊆ Out C2.C4296C2.C4^2:8S3192,224
C2.C429S3 = D6⋊C4⋊C4φ: S3/C3C2 ⊆ Out C2.C4296C2.C4^2:9S3192,227
C2.C4210S3 = D6⋊C43C4φ: S3/C3C2 ⊆ Out C2.C4296C2.C4^2:10S3192,229
C2.C4211S3 = (C2×C12)⋊5D4φ: S3/C3C2 ⊆ Out C2.C4296C2.C4^2:11S3192,230
C2.C4212S3 = C6.C22≀C2φ: S3/C3C2 ⊆ Out C2.C4296C2.C4^2:12S3192,231
C2.C4213S3 = (C22×S3)⋊Q8φ: S3/C3C2 ⊆ Out C2.C4296C2.C4^2:13S3192,232
C2.C4214S3 = (C2×C4).21D12φ: S3/C3C2 ⊆ Out C2.C4296C2.C4^2:14S3192,233
C2.C4215S3 = (C2×C12).33D4φ: S3/C3C2 ⊆ Out C2.C4296C2.C4^2:15S3192,236
C2.C4216S3 = D6⋊C42φ: trivial image96C2.C4^2:16S3192,225

Non-split extensions G=N.Q with N=C2.C42 and Q=S3
extensionφ:Q→Out NdρLabelID
C2.C42.S3 = C23.7S4φ: S3/C1S3 ⊆ Out C2.C42246C2.C4^2.S3192,180
C2.C42.2S3 = C3⋊(C428C4)φ: S3/C3C2 ⊆ Out C2.C42192C2.C4^2.2S3192,209
C2.C42.3S3 = C3⋊(C425C4)φ: S3/C3C2 ⊆ Out C2.C42192C2.C4^2.3S3192,210
C2.C42.4S3 = C6.(C4×D4)φ: S3/C3C2 ⊆ Out C2.C42192C2.C4^2.4S3192,211
C2.C42.5S3 = (C2×Dic3).9D4φ: S3/C3C2 ⊆ Out C2.C42192C2.C4^2.5S3192,217
C2.C42.6S3 = (C22×C4).30D6φ: S3/C3C2 ⊆ Out C2.C42192C2.C4^2.6S3192,221
C2.C42.7S3 = C4⋊Dic3⋊C4φ: S3/C3C2 ⊆ Out C2.C4248C2.C4^2.7S3192,11
C2.C42.8S3 = (C2×C12)⋊Q8φ: S3/C3C2 ⊆ Out C2.C42192C2.C4^2.8S3192,205
C2.C42.9S3 = C6.(C4×Q8)φ: S3/C3C2 ⊆ Out C2.C42192C2.C4^2.9S3192,206
C2.C42.10S3 = C2.(C4×D12)φ: S3/C3C2 ⊆ Out C2.C42192C2.C4^2.10S3192,212
C2.C42.11S3 = C2.(C4×Dic6)φ: S3/C3C2 ⊆ Out C2.C42192C2.C4^2.11S3192,213
C2.C42.12S3 = Dic3⋊C4⋊C4φ: S3/C3C2 ⊆ Out C2.C42192C2.C4^2.12S3192,214
C2.C42.13S3 = (C2×C4)⋊Dic6φ: S3/C3C2 ⊆ Out C2.C42192C2.C4^2.13S3192,215
C2.C42.14S3 = C6.(C4⋊Q8)φ: S3/C3C2 ⊆ Out C2.C42192C2.C4^2.14S3192,216
C2.C42.15S3 = (C2×C4).17D12φ: S3/C3C2 ⊆ Out C2.C42192C2.C4^2.15S3192,218
C2.C42.16S3 = (C2×C4).Dic6φ: S3/C3C2 ⊆ Out C2.C42192C2.C4^2.16S3192,219
C2.C42.17S3 = (C22×C4).85D6φ: S3/C3C2 ⊆ Out C2.C42192C2.C4^2.17S3192,220
C2.C42.18S3 = Dic3.5C42φ: trivial image192C2.C4^2.18S3192,207
C2.C42.19S3 = Dic3⋊C42φ: trivial image192C2.C4^2.19S3192,208

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