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Extensions 1→N→G→Q→1 with N=C4.4D4 and Q=S3

Direct product G=NxQ with N=C4.4D4 and Q=S3
dρLabelID
S3xC4.4D448S3xC4.4D4192,1232

Semidirect products G=N:Q with N=C4.4D4 and Q=S3
extensionφ:Q→Out NdρLabelID
C4.4D4:1S3 = D12.23D4φ: S3/C3 → C2 ⊆ Out C4.4D496C4.4D4:1S3192,616
C4.4D4:2S3 = C42.64D6φ: S3/C3 → C2 ⊆ Out C4.4D496C4.4D4:2S3192,617
C4.4D4:3S3 = C42.214D6φ: S3/C3 → C2 ⊆ Out C4.4D496C4.4D4:3S3192,618
C4.4D4:4S3 = C42:7D6φ: S3/C3 → C2 ⊆ Out C4.4D4484C4.4D4:4S3192,620
C4.4D4:5S3 = D12.14D4φ: S3/C3 → C2 ⊆ Out C4.4D4484C4.4D4:5S3192,621
C4.4D4:6S3 = C42.137D6φ: S3/C3 → C2 ⊆ Out C4.4D496C4.4D4:6S3192,1228
C4.4D4:7S3 = C42.138D6φ: S3/C3 → C2 ⊆ Out C4.4D496C4.4D4:7S3192,1229
C4.4D4:8S3 = C42:20D6φ: S3/C3 → C2 ⊆ Out C4.4D448C4.4D4:8S3192,1233
C4.4D4:9S3 = C42.141D6φ: S3/C3 → C2 ⊆ Out C4.4D496C4.4D4:9S3192,1234
C4.4D4:10S3 = D12:10D4φ: S3/C3 → C2 ⊆ Out C4.4D448C4.4D4:10S3192,1235
C4.4D4:11S3 = Dic6:10D4φ: S3/C3 → C2 ⊆ Out C4.4D496C4.4D4:11S3192,1236
C4.4D4:12S3 = C42:22D6φ: S3/C3 → C2 ⊆ Out C4.4D448C4.4D4:12S3192,1237
C4.4D4:13S3 = C42:23D6φ: S3/C3 → C2 ⊆ Out C4.4D448C4.4D4:13S3192,1238
C4.4D4:14S3 = C42.143D6φ: S3/C3 → C2 ⊆ Out C4.4D496C4.4D4:14S3192,1240
C4.4D4:15S3 = C42.144D6φ: S3/C3 → C2 ⊆ Out C4.4D496C4.4D4:15S3192,1241
C4.4D4:16S3 = C42:24D6φ: S3/C3 → C2 ⊆ Out C4.4D448C4.4D4:16S3192,1242
C4.4D4:17S3 = C42.145D6φ: S3/C3 → C2 ⊆ Out C4.4D496C4.4D4:17S3192,1243
C4.4D4:18S3 = C42.233D6φ: trivial image96C4.4D4:18S3192,1227
C4.4D4:19S3 = C42.234D6φ: trivial image96C4.4D4:19S3192,1239

Non-split extensions G=N.Q with N=C4.4D4 and Q=S3
extensionφ:Q→Out NdρLabelID
C4.4D4.1S3 = C42.7D6φ: S3/C3 → C2 ⊆ Out C4.4D496C4.4D4.1S3192,99
C4.4D4.2S3 = C42:4Dic3φ: S3/C3 → C2 ⊆ Out C4.4D4484C4.4D4.2S3192,100
C4.4D4.3S3 = C42.Dic3φ: S3/C3 → C2 ⊆ Out C4.4D4484C4.4D4.3S3192,101
C4.4D4.4S3 = C42.61D6φ: S3/C3 → C2 ⊆ Out C4.4D496C4.4D4.4S3192,613
C4.4D4.5S3 = C42.62D6φ: S3/C3 → C2 ⊆ Out C4.4D496C4.4D4.5S3192,614
C4.4D4.6S3 = C42.213D6φ: S3/C3 → C2 ⊆ Out C4.4D496C4.4D4.6S3192,615
C4.4D4.7S3 = C42.65D6φ: S3/C3 → C2 ⊆ Out C4.4D496C4.4D4.7S3192,619
C4.4D4.8S3 = C42.139D6φ: S3/C3 → C2 ⊆ Out C4.4D496C4.4D4.8S3192,1230
C4.4D4.9S3 = C42.140D6φ: S3/C3 → C2 ⊆ Out C4.4D496C4.4D4.9S3192,1231

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