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Extensions 1→N→G→Q→1 with N=C28.17D4 and Q=C2

Direct product G=NxQ with N=C28.17D4 and Q=C2
dρLabelID
C2xC28.17D4224C2xC28.17D4448,1250

Semidirect products G=N:Q with N=C28.17D4 and Q=C2
extensionφ:Q→Out NdρLabelID
C28.17D4:1C2 = D28.1D4φ: C2/C1 → C2 ⊆ Out C28.17D41128-C28.17D4:1C2448,280
C28.17D4:2C2 = D28.D4φ: C2/C1 → C2 ⊆ Out C28.17D4224C28.17D4:2C2448,321
C28.17D4:3C2 = (C2xD8).D7φ: C2/C1 → C2 ⊆ Out C28.17D4224C28.17D4:3C2448,687
C28.17D4:4C2 = C56:11D4φ: C2/C1 → C2 ⊆ Out C28.17D4224C28.17D4:4C2448,688
C28.17D4:5C2 = C56.22D4φ: C2/C1 → C2 ⊆ Out C28.17D4224C28.17D4:5C2448,689
C28.17D4:6C2 = C56.43D4φ: C2/C1 → C2 ⊆ Out C28.17D4224C28.17D4:6C2448,702
C28.17D4:7C2 = D28.38D4φ: C2/C1 → C2 ⊆ Out C28.17D41128-C28.17D4:7C2448,735
C28.17D4:8C2 = 2+ 1+4.D7φ: C2/C1 → C2 ⊆ Out C28.17D41128-C28.17D4:8C2448,776
C28.17D4:9C2 = C42.114D14φ: C2/C1 → C2 ⊆ Out C28.17D4224C28.17D4:9C2448,1012
C28.17D4:10C2 = C42.115D14φ: C2/C1 → C2 ⊆ Out C28.17D4224C28.17D4:10C2448,1014
C28.17D4:11C2 = C24.32D14φ: C2/C1 → C2 ⊆ Out C28.17D4112C28.17D4:11C2448,1040
C28.17D4:12C2 = C24.35D14φ: C2/C1 → C2 ⊆ Out C28.17D4112C28.17D4:12C2448,1046
C28.17D4:13C2 = C24:4D14φ: C2/C1 → C2 ⊆ Out C28.17D4112C28.17D4:13C2448,1047
C28.17D4:14C2 = Dic14:19D4φ: C2/C1 → C2 ⊆ Out C28.17D4224C28.17D4:14C2448,1051
C28.17D4:15C2 = C4:C4.178D14φ: C2/C1 → C2 ⊆ Out C28.17D4224C28.17D4:15C2448,1053
C28.17D4:16C2 = C14.712- 1+4φ: C2/C1 → C2 ⊆ Out C28.17D4224C28.17D4:16C2448,1056
C28.17D4:17C2 = D28:20D4φ: C2/C1 → C2 ⊆ Out C28.17D4112C28.17D4:17C2448,1065
C28.17D4:18C2 = C14.422+ 1+4φ: C2/C1 → C2 ⊆ Out C28.17D4112C28.17D4:18C2448,1066
C28.17D4:19C2 = C14.452+ 1+4φ: C2/C1 → C2 ⊆ Out C28.17D4224C28.17D4:19C2448,1069
C28.17D4:20C2 = C14.492+ 1+4φ: C2/C1 → C2 ⊆ Out C28.17D4224C28.17D4:20C2448,1074
C28.17D4:21C2 = C14.622+ 1+4φ: C2/C1 → C2 ⊆ Out C28.17D4112C28.17D4:21C2448,1112
C28.17D4:22C2 = C14.842- 1+4φ: C2/C1 → C2 ⊆ Out C28.17D4224C28.17D4:22C2448,1115
C28.17D4:23C2 = D7xC4.4D4φ: C2/C1 → C2 ⊆ Out C28.17D4112C28.17D4:23C2448,1126
C28.17D4:24C2 = C42.141D14φ: C2/C1 → C2 ⊆ Out C28.17D4224C28.17D4:24C2448,1128
C28.17D4:25C2 = C42.166D14φ: C2/C1 → C2 ⊆ Out C28.17D4224C28.17D4:25C2448,1166
C28.17D4:26C2 = C42:26D14φ: C2/C1 → C2 ⊆ Out C28.17D4112C28.17D4:26C2448,1168
C28.17D4:27C2 = C42.238D14φ: C2/C1 → C2 ⊆ Out C28.17D4224C28.17D4:27C2448,1169
C28.17D4:28C2 = C24.41D14φ: C2/C1 → C2 ⊆ Out C28.17D4112C28.17D4:28C2448,1258
C28.17D4:29C2 = C24.42D14φ: C2/C1 → C2 ⊆ Out C28.17D4112C28.17D4:29C2448,1259
C28.17D4:30C2 = C14.1052- 1+4φ: C2/C1 → C2 ⊆ Out C28.17D4224C28.17D4:30C2448,1278
C28.17D4:31C2 = C14.1072- 1+4φ: C2/C1 → C2 ⊆ Out C28.17D4224C28.17D4:31C2448,1284
C28.17D4:32C2 = C42.229D14φ: trivial image224C28.17D4:32C2448,1010
C28.17D4:33C2 = (C2xC28):17D4φ: trivial image224C28.17D4:33C2448,1285

Non-split extensions G=N.Q with N=C28.17D4 and Q=C2
extensionφ:Q→Out NdρLabelID
C28.17D4.1C2 = C23.D28φ: C2/C1 → C2 ⊆ Out C28.17D41128-C28.17D4.1C2448,30
C28.17D4.2C2 = C28:Q8:C2φ: C2/C1 → C2 ⊆ Out C28.17D4224C28.17D4.2C2448,299
C28.17D4.3C2 = Dic14.D4φ: C2/C1 → C2 ⊆ Out C28.17D4224C28.17D4.3C2448,301
C28.17D4.4C2 = (C8xDic7):C2φ: C2/C1 → C2 ⊆ Out C28.17D4224C28.17D4.4C2448,302
C28.17D4.5C2 = (C7xQ8).D4φ: C2/C1 → C2 ⊆ Out C28.17D4224C28.17D4.5C2448,700
C28.17D4.6C2 = C56.31D4φ: C2/C1 → C2 ⊆ Out C28.17D4224C28.17D4.6C2448,701
C28.17D4.7C2 = C42.106D14φ: C2/C1 → C2 ⊆ Out C28.17D4224C28.17D4.7C2448,995
C28.17D4.8C2 = C14.602+ 1+4φ: C2/C1 → C2 ⊆ Out C28.17D4224C28.17D4.8C2448,1104
C28.17D4.9C2 = C42.139D14φ: C2/C1 → C2 ⊆ Out C28.17D4224C28.17D4.9C2448,1124

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