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Extensions 1→N→G→Q→1 with N=C22⋊Q8 and Q=S3

Direct product G=N×Q with N=C22⋊Q8 and Q=S3
dρLabelID
S3×C22⋊Q848S3xC2^2:Q8192,1185

Semidirect products G=N:Q with N=C22⋊Q8 and Q=S3
extensionφ:Q→Out NdρLabelID
C22⋊Q8⋊1S3 = D12.36D4φ: S3/C3 → C2 ⊆ Out C22⋊Q848C2^2:Q8:1S3192,605
C22⋊Q8⋊2S3 = D12.37D4φ: S3/C3 → C2 ⊆ Out C22⋊Q896C2^2:Q8:2S3192,606
C22⋊Q8⋊3S3 = C3⋊C8⋊24D4φ: S3/C3 → C2 ⊆ Out C22⋊Q896C2^2:Q8:3S3192,607
C22⋊Q8⋊4S3 = C3⋊C8⋊6D4φ: S3/C3 → C2 ⊆ Out C22⋊Q896C2^2:Q8:4S3192,608
C22⋊Q8⋊5S3 = C6.162- 1+4φ: S3/C3 → C2 ⊆ Out C22⋊Q896C2^2:Q8:5S3192,1187
C22⋊Q8⋊6S3 = C6.172- 1+4φ: S3/C3 → C2 ⊆ Out C22⋊Q896C2^2:Q8:6S3192,1188
C22⋊Q8⋊7S3 = D12⋊21D4φ: S3/C3 → C2 ⊆ Out C22⋊Q848C2^2:Q8:7S3192,1189
C22⋊Q8⋊8S3 = D12⋊22D4φ: S3/C3 → C2 ⊆ Out C22⋊Q896C2^2:Q8:8S3192,1190
C22⋊Q8⋊9S3 = Dic6⋊21D4φ: S3/C3 → C2 ⊆ Out C22⋊Q896C2^2:Q8:9S3192,1191
C22⋊Q8⋊10S3 = Dic6⋊22D4φ: S3/C3 → C2 ⊆ Out C22⋊Q896C2^2:Q8:10S3192,1192
C22⋊Q8⋊11S3 = C6.512+ 1+4φ: S3/C3 → C2 ⊆ Out C22⋊Q848C2^2:Q8:11S3192,1193
C22⋊Q8⋊12S3 = C6.1182+ 1+4φ: S3/C3 → C2 ⊆ Out C22⋊Q896C2^2:Q8:12S3192,1194
C22⋊Q8⋊13S3 = C6.522+ 1+4φ: S3/C3 → C2 ⊆ Out C22⋊Q896C2^2:Q8:13S3192,1195
C22⋊Q8⋊14S3 = C6.532+ 1+4φ: S3/C3 → C2 ⊆ Out C22⋊Q848C2^2:Q8:14S3192,1196
C22⋊Q8⋊15S3 = C6.202- 1+4φ: S3/C3 → C2 ⊆ Out C22⋊Q896C2^2:Q8:15S3192,1197
C22⋊Q8⋊16S3 = C6.212- 1+4φ: S3/C3 → C2 ⊆ Out C22⋊Q896C2^2:Q8:16S3192,1198
C22⋊Q8⋊17S3 = C6.222- 1+4φ: S3/C3 → C2 ⊆ Out C22⋊Q896C2^2:Q8:17S3192,1199
C22⋊Q8⋊18S3 = C6.232- 1+4φ: S3/C3 → C2 ⊆ Out C22⋊Q896C2^2:Q8:18S3192,1200
C22⋊Q8⋊19S3 = C6.772- 1+4φ: S3/C3 → C2 ⊆ Out C22⋊Q896C2^2:Q8:19S3192,1201
C22⋊Q8⋊20S3 = C6.242- 1+4φ: S3/C3 → C2 ⊆ Out C22⋊Q896C2^2:Q8:20S3192,1202
C22⋊Q8⋊21S3 = C6.562+ 1+4φ: S3/C3 → C2 ⊆ Out C22⋊Q848C2^2:Q8:21S3192,1203
C22⋊Q8⋊22S3 = C6.782- 1+4φ: S3/C3 → C2 ⊆ Out C22⋊Q896C2^2:Q8:22S3192,1204
C22⋊Q8⋊23S3 = C6.252- 1+4φ: S3/C3 → C2 ⊆ Out C22⋊Q896C2^2:Q8:23S3192,1205
C22⋊Q8⋊24S3 = C6.592+ 1+4φ: S3/C3 → C2 ⊆ Out C22⋊Q896C2^2:Q8:24S3192,1206
C22⋊Q8⋊25S3 = C4⋊C4.187D6φ: trivial image96C2^2:Q8:25S3192,1183
C22⋊Q8⋊26S3 = C4⋊C4⋊26D6φ: trivial image48C2^2:Q8:26S3192,1186

Non-split extensions G=N.Q with N=C22⋊Q8 and Q=S3
extensionφ:Q→Out NdρLabelID
C22⋊Q8.1S3 = (C6×Q8)⋊C4φ: S3/C3 → C2 ⊆ Out C22⋊Q848C2^2:Q8.1S3192,97
C22⋊Q8.2S3 = (C2×Q8).49D6φ: S3/C3 → C2 ⊆ Out C22⋊Q896C2^2:Q8.2S3192,602
C22⋊Q8.3S3 = (C2×C6).Q16φ: S3/C3 → C2 ⊆ Out C22⋊Q896C2^2:Q8.3S3192,603
C22⋊Q8.4S3 = (C2×Q8).51D6φ: S3/C3 → C2 ⊆ Out C22⋊Q896C2^2:Q8.4S3192,604
C22⋊Q8.5S3 = Dic6.37D4φ: S3/C3 → C2 ⊆ Out C22⋊Q896C2^2:Q8.5S3192,609
C22⋊Q8.6S3 = C3⋊C8.29D4φ: S3/C3 → C2 ⊆ Out C22⋊Q896C2^2:Q8.6S3192,610
C22⋊Q8.7S3 = C3⋊C8.6D4φ: S3/C3 → C2 ⊆ Out C22⋊Q896C2^2:Q8.7S3192,611
C22⋊Q8.8S3 = C6.752- 1+4φ: S3/C3 → C2 ⊆ Out C22⋊Q896C2^2:Q8.8S3192,1182
C22⋊Q8.9S3 = C6.152- 1+4φ: S3/C3 → C2 ⊆ Out C22⋊Q896C2^2:Q8.9S3192,1184
C22⋊Q8.10S3 = (Q8×Dic3)⋊C2φ: trivial image96C2^2:Q8.10S3192,1181

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