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Extensions 1→N→G→Q→1 with N=C28.23D4 and Q=C2

Direct product G=N×Q with N=C28.23D4 and Q=C2
dρLabelID
C2×C28.23D4224C2xC28.23D4448,1267

Semidirect products G=N:Q with N=C28.23D4 and Q=C2
extensionφ:Q→Out NdρLabelID
C28.23D4⋊1C2 = D28.5D4φ: C2/C1 → C2 ⊆ Out C28.23D41128+C28.23D4:1C2448,287
C28.23D4⋊2C2 = D28.12D4φ: C2/C1 → C2 ⊆ Out C28.23D4224C28.23D4:2C2448,353
C28.23D4⋊3C2 = (C7×D4).D4φ: C2/C1 → C2 ⊆ Out C28.23D4224C28.23D4:3C2448,699
C28.23D4⋊4C2 = C56.43D4φ: C2/C1 → C2 ⊆ Out C28.23D4224C28.23D4:4C2448,702
C28.23D4⋊5C2 = C56⋊9D4φ: C2/C1 → C2 ⊆ Out C28.23D4224C28.23D4:5C2448,710
C28.23D4⋊6C2 = C56.28D4φ: C2/C1 → C2 ⊆ Out C28.23D4224C28.23D4:6C2448,725
C28.23D4⋊7C2 = D28.39D4φ: C2/C1 → C2 ⊆ Out C28.23D41128+C28.23D4:7C2448,736
C28.23D4⋊8C2 = 2- 1+4⋊D7φ: C2/C1 → C2 ⊆ Out C28.23D41128+C28.23D4:8C2448,779
C28.23D4⋊9C2 = C42.133D14φ: C2/C1 → C2 ⊆ Out C28.23D4224C28.23D4:9C2448,1035
C28.23D4⋊10C2 = C42.136D14φ: C2/C1 → C2 ⊆ Out C28.23D4224C28.23D4:10C2448,1038
C28.23D4⋊11C2 = C22⋊Q8⋊25D7φ: C2/C1 → C2 ⊆ Out C28.23D4224C28.23D4:11C2448,1077
C28.23D4⋊12C2 = D28⋊21D4φ: C2/C1 → C2 ⊆ Out C28.23D4112C28.23D4:12C2448,1083
C28.23D4⋊13C2 = Dic14⋊22D4φ: C2/C1 → C2 ⊆ Out C28.23D4224C28.23D4:13C2448,1086
C28.23D4⋊14C2 = C14.532+ 1+4φ: C2/C1 → C2 ⊆ Out C28.23D4112C28.23D4:14C2448,1090
C28.23D4⋊15C2 = C14.222- 1+4φ: C2/C1 → C2 ⊆ Out C28.23D4224C28.23D4:15C2448,1093
C28.23D4⋊16C2 = C14.242- 1+4φ: C2/C1 → C2 ⊆ Out C28.23D4224C28.23D4:16C2448,1096
C28.23D4⋊17C2 = C14.562+ 1+4φ: C2/C1 → C2 ⊆ Out C28.23D4112C28.23D4:17C2448,1097
C28.23D4⋊18C2 = C14.262- 1+4φ: C2/C1 → C2 ⊆ Out C28.23D4224C28.23D4:18C2448,1100
C28.23D4⋊19C2 = C42.138D14φ: C2/C1 → C2 ⊆ Out C28.23D4224C28.23D4:19C2448,1123
C28.23D4⋊20C2 = D7×C4.4D4φ: C2/C1 → C2 ⊆ Out C28.23D4112C28.23D4:20C2448,1126
C28.23D4⋊21C2 = C42⋊18D14φ: C2/C1 → C2 ⊆ Out C28.23D4112C28.23D4:21C2448,1127
C28.23D4⋊22C2 = C42⋊20D14φ: C2/C1 → C2 ⊆ Out C28.23D4112C28.23D4:22C2448,1131
C28.23D4⋊23C2 = C42.143D14φ: C2/C1 → C2 ⊆ Out C28.23D4224C28.23D4:23C2448,1134
C28.23D4⋊24C2 = C42⋊22D14φ: C2/C1 → C2 ⊆ Out C28.23D4112C28.23D4:24C2448,1136
C28.23D4⋊25C2 = C42.171D14φ: C2/C1 → C2 ⊆ Out C28.23D4224C28.23D4:25C2448,1177
C28.23D4⋊26C2 = C42.240D14φ: C2/C1 → C2 ⊆ Out C28.23D4224C28.23D4:26C2448,1178
C28.23D4⋊27C2 = C42.178D14φ: C2/C1 → C2 ⊆ Out C28.23D4224C28.23D4:27C2448,1186
C28.23D4⋊28C2 = C42.179D14φ: C2/C1 → C2 ⊆ Out C28.23D4224C28.23D4:28C2448,1187
C28.23D4⋊29C2 = C14.442- 1+4φ: C2/C1 → C2 ⊆ Out C28.23D4224C28.23D4:29C2448,1269
C28.23D4⋊30C2 = C14.452- 1+4φ: C2/C1 → C2 ⊆ Out C28.23D4224C28.23D4:30C2448,1270
C28.23D4⋊31C2 = C14.1452+ 1+4φ: C2/C1 → C2 ⊆ Out C28.23D4112C28.23D4:31C2448,1282
C28.23D4⋊32C2 = C14.1462+ 1+4φ: C2/C1 → C2 ⊆ Out C28.23D4112C28.23D4:32C2448,1283
C28.23D4⋊33C2 = C42.131D14φ: trivial image224C28.23D4:33C2448,1033
C28.23D4⋊34C2 = (C2×C28)⋊17D4φ: trivial image224C28.23D4:34C2448,1285

Non-split extensions G=N.Q with N=C28.23D4 and Q=C2
extensionφ:Q→Out NdρLabelID
C28.23D4.1C2 = (C2×C4).D28φ: C2/C1 → C2 ⊆ Out C28.23D41128+C28.23D4.1C2448,34
C28.23D4.2C2 = Q8⋊C4⋊D7φ: C2/C1 → C2 ⊆ Out C28.23D4224C28.23D4.2C2448,329
C28.23D4.3C2 = Dic14.11D4φ: C2/C1 → C2 ⊆ Out C28.23D4224C28.23D4.3C2448,332
C28.23D4.4C2 = Q8⋊Dic7⋊C2φ: C2/C1 → C2 ⊆ Out C28.23D4224C28.23D4.4C2448,334
C28.23D4.5C2 = (C2×Q16)⋊D7φ: C2/C1 → C2 ⊆ Out C28.23D4224C28.23D4.5C2448,719
C28.23D4.6C2 = C56.37D4φ: C2/C1 → C2 ⊆ Out C28.23D4224C28.23D4.6C2448,724
C28.23D4.7C2 = C42.122D14φ: C2/C1 → C2 ⊆ Out C28.23D4224C28.23D4.7C2448,1021
C28.23D4.8C2 = C42.177D14φ: C2/C1 → C2 ⊆ Out C28.23D4224C28.23D4.8C2448,1185
C28.23D4.9C2 = C42.180D14φ: C2/C1 → C2 ⊆ Out C28.23D4224C28.23D4.9C2448,1188

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