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Extensions 1→N→G→Q→1 with N=C4⋊D4 and Q=S3

Direct product G=N×Q with N=C4⋊D4 and Q=S3
dρLabelID
S3×C4⋊D448S3xC4:D4192,1163

Semidirect products G=N:Q with N=C4⋊D4 and Q=S3
extensionφ:Q→Out NdρLabelID
C4⋊D4⋊1S3 = D12⋊16D4φ: S3/C3 → C2 ⊆ Out C4⋊D448C4:D4:1S3192,595
C4⋊D4⋊2S3 = D12⋊17D4φ: S3/C3 → C2 ⊆ Out C4⋊D496C4:D4:2S3192,596
C4⋊D4⋊3S3 = C3⋊C8⋊22D4φ: S3/C3 → C2 ⊆ Out C4⋊D496C4:D4:3S3192,597
C4⋊D4⋊4S3 = C4⋊D4⋊S3φ: S3/C3 → C2 ⊆ Out C4⋊D496C4:D4:4S3192,598
C4⋊D4⋊5S3 = C6.322+ 1+4φ: S3/C3 → C2 ⊆ Out C4⋊D496C4:D4:5S3192,1156
C4⋊D4⋊6S3 = Dic6⋊19D4φ: S3/C3 → C2 ⊆ Out C4⋊D496C4:D4:6S3192,1157
C4⋊D4⋊7S3 = Dic6⋊20D4φ: S3/C3 → C2 ⊆ Out C4⋊D496C4:D4:7S3192,1158
C4⋊D4⋊8S3 = C6.342+ 1+4φ: S3/C3 → C2 ⊆ Out C4⋊D496C4:D4:8S3192,1160
C4⋊D4⋊9S3 = C6.372+ 1+4φ: S3/C3 → C2 ⊆ Out C4⋊D448C4:D4:9S3192,1164
C4⋊D4⋊10S3 = C6.382+ 1+4φ: S3/C3 → C2 ⊆ Out C4⋊D448C4:D4:10S3192,1166
C4⋊D4⋊11S3 = C6.722- 1+4φ: S3/C3 → C2 ⊆ Out C4⋊D496C4:D4:11S3192,1167
C4⋊D4⋊12S3 = D12⋊19D4φ: S3/C3 → C2 ⊆ Out C4⋊D448C4:D4:12S3192,1168
C4⋊D4⋊13S3 = C6.402+ 1+4φ: S3/C3 → C2 ⊆ Out C4⋊D448C4:D4:13S3192,1169
C4⋊D4⋊14S3 = C6.732- 1+4φ: S3/C3 → C2 ⊆ Out C4⋊D496C4:D4:14S3192,1170
C4⋊D4⋊15S3 = D12⋊20D4φ: S3/C3 → C2 ⊆ Out C4⋊D448C4:D4:15S3192,1171
C4⋊D4⋊16S3 = C6.422+ 1+4φ: S3/C3 → C2 ⊆ Out C4⋊D448C4:D4:16S3192,1172
C4⋊D4⋊17S3 = C6.432+ 1+4φ: S3/C3 → C2 ⊆ Out C4⋊D496C4:D4:17S3192,1173
C4⋊D4⋊18S3 = C6.442+ 1+4φ: S3/C3 → C2 ⊆ Out C4⋊D496C4:D4:18S3192,1174
C4⋊D4⋊19S3 = C6.452+ 1+4φ: S3/C3 → C2 ⊆ Out C4⋊D496C4:D4:19S3192,1175
C4⋊D4⋊20S3 = C6.462+ 1+4φ: S3/C3 → C2 ⊆ Out C4⋊D448C4:D4:20S3192,1176
C4⋊D4⋊21S3 = C6.1152+ 1+4φ: S3/C3 → C2 ⊆ Out C4⋊D496C4:D4:21S3192,1177
C4⋊D4⋊22S3 = C6.472+ 1+4φ: S3/C3 → C2 ⊆ Out C4⋊D496C4:D4:22S3192,1178
C4⋊D4⋊23S3 = C6.482+ 1+4φ: S3/C3 → C2 ⊆ Out C4⋊D448C4:D4:23S3192,1179
C4⋊D4⋊24S3 = C6.492+ 1+4φ: S3/C3 → C2 ⊆ Out C4⋊D496C4:D4:24S3192,1180
C4⋊D4⋊25S3 = C12⋊(C4○D4)φ: trivial image96C4:D4:25S3192,1155
C4⋊D4⋊26S3 = C4⋊C4⋊21D6φ: trivial image48C4:D4:26S3192,1165

Non-split extensions G=N.Q with N=C4⋊D4 and Q=S3
extensionφ:Q→Out NdρLabelID
C4⋊D4.1S3 = (C6×D4)⋊C4φ: S3/C3 → C2 ⊆ Out C4⋊D448C4:D4.1S3192,96
C4⋊D4.2S3 = (C2×C6).D8φ: S3/C3 → C2 ⊆ Out C4⋊D496C4:D4.2S3192,592
C4⋊D4.3S3 = C4⋊D4.S3φ: S3/C3 → C2 ⊆ Out C4⋊D496C4:D4.3S3192,593
C4⋊D4.4S3 = C6.Q16⋊C2φ: S3/C3 → C2 ⊆ Out C4⋊D496C4:D4.4S3192,594
C4⋊D4.5S3 = Dic6⋊17D4φ: S3/C3 → C2 ⊆ Out C4⋊D496C4:D4.5S3192,599
C4⋊D4.6S3 = C3⋊C8⋊23D4φ: S3/C3 → C2 ⊆ Out C4⋊D496C4:D4.6S3192,600
C4⋊D4.7S3 = C3⋊C8⋊5D4φ: S3/C3 → C2 ⊆ Out C4⋊D496C4:D4.7S3192,601
C4⋊D4.8S3 = C6.702- 1+4φ: S3/C3 → C2 ⊆ Out C4⋊D496C4:D4.8S3192,1161
C4⋊D4.9S3 = C6.712- 1+4φ: S3/C3 → C2 ⊆ Out C4⋊D496C4:D4.9S3192,1162
C4⋊D4.10S3 = C4⋊C4.178D6φ: trivial image96C4:D4.10S3192,1159

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