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

Direct product G=NxQ with N=C4:D4 and Q=S3
dρLabelID
S3xC4: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:(C4oD4)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 = (C6xD4):C4φ: S3/C3 → C2 ⊆ Out C4:D448C4:D4.1S3192,96
C4:D4.2S3 = (C2xC6).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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