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Extensions 1→N→G→Q→1 with N=D14⋊3Q8 and Q=C2

Direct product G=N×Q with N=D14⋊3Q8 and Q=C2
dρLabelID
C2×D14⋊3Q8224C2xD14:3Q8448,1266

Semidirect products G=N:Q with N=D14⋊3Q8 and Q=C2
extensionφ:Q→Out NdρLabelID
D14⋊3Q8⋊1C2 = D14⋊2SD16φ: C2/C1 → C2 ⊆ Out D14⋊3Q8224D14:3Q8:1C2448,341
D14⋊3Q8⋊2C2 = C7⋊(C8⋊D4)φ: C2/C1 → C2 ⊆ Out D14⋊3Q8224D14:3Q8:2C2448,346
D14⋊3Q8⋊3C2 = D14⋊6SD16φ: C2/C1 → C2 ⊆ Out D14⋊3Q8112D14:3Q8:3C2448,703
D14⋊3Q8⋊4C2 = C56⋊14D4φ: C2/C1 → C2 ⊆ Out D14⋊3Q8224D14:3Q8:4C2448,705
D14⋊3Q8⋊5C2 = Dic14.16D4φ: C2/C1 → C2 ⊆ Out D14⋊3Q8224D14:3Q8:5C2448,707
D14⋊3Q8⋊6C2 = C56⋊8D4φ: C2/C1 → C2 ⊆ Out D14⋊3Q8224D14:3Q8:6C2448,708
D14⋊3Q8⋊7C2 = D28.17D4φ: C2/C1 → C2 ⊆ Out D14⋊3Q8224D14:3Q8:7C2448,721
D14⋊3Q8⋊8C2 = D28⋊10Q8φ: C2/C1 → C2 ⊆ Out D14⋊3Q8224D14:3Q8:8C2448,1032
D14⋊3Q8⋊9C2 = C42.132D14φ: C2/C1 → C2 ⊆ Out D14⋊3Q8224D14:3Q8:9C2448,1034
D14⋊3Q8⋊10C2 = C42.133D14φ: C2/C1 → C2 ⊆ Out D14⋊3Q8224D14:3Q8:10C2448,1035
D14⋊3Q8⋊11C2 = C42.135D14φ: C2/C1 → C2 ⊆ Out D14⋊3Q8224D14:3Q8:11C2448,1037
D14⋊3Q8⋊12C2 = D7×C22⋊Q8φ: C2/C1 → C2 ⊆ Out D14⋊3Q8112D14:3Q8:12C2448,1079
D14⋊3Q8⋊13C2 = C4⋊C4⋊26D14φ: C2/C1 → C2 ⊆ Out D14⋊3Q8112D14:3Q8:13C2448,1080
D14⋊3Q8⋊14C2 = C14.162- 1+4φ: C2/C1 → C2 ⊆ Out D14⋊3Q8224D14:3Q8:14C2448,1081
D14⋊3Q8⋊15C2 = C14.172- 1+4φ: C2/C1 → C2 ⊆ Out D14⋊3Q8224D14:3Q8:15C2448,1082
D14⋊3Q8⋊16C2 = C14.512+ 1+4φ: C2/C1 → C2 ⊆ Out D14⋊3Q8112D14:3Q8:16C2448,1087
D14⋊3Q8⋊17C2 = C14.1182+ 1+4φ: C2/C1 → C2 ⊆ Out D14⋊3Q8224D14:3Q8:17C2448,1088
D14⋊3Q8⋊18C2 = C14.522+ 1+4φ: C2/C1 → C2 ⊆ Out D14⋊3Q8224D14:3Q8:18C2448,1089
D14⋊3Q8⋊19C2 = C14.532+ 1+4φ: C2/C1 → C2 ⊆ Out D14⋊3Q8112D14:3Q8:19C2448,1090
D14⋊3Q8⋊20C2 = C14.202- 1+4φ: C2/C1 → C2 ⊆ Out D14⋊3Q8224D14:3Q8:20C2448,1091
D14⋊3Q8⋊21C2 = C14.212- 1+4φ: C2/C1 → C2 ⊆ Out D14⋊3Q8224D14:3Q8:21C2448,1092
D14⋊3Q8⋊22C2 = C14.232- 1+4φ: C2/C1 → C2 ⊆ Out D14⋊3Q8224D14:3Q8:22C2448,1094
D14⋊3Q8⋊23C2 = C14.772- 1+4φ: C2/C1 → C2 ⊆ Out D14⋊3Q8224D14:3Q8:23C2448,1095
D14⋊3Q8⋊24C2 = C14.572+ 1+4φ: C2/C1 → C2 ⊆ Out D14⋊3Q8224D14:3Q8:24C2448,1098
D14⋊3Q8⋊25C2 = C14.582+ 1+4φ: C2/C1 → C2 ⊆ Out D14⋊3Q8224D14:3Q8:25C2448,1099
D14⋊3Q8⋊26C2 = C14.262- 1+4φ: C2/C1 → C2 ⊆ Out D14⋊3Q8224D14:3Q8:26C2448,1100
D14⋊3Q8⋊27C2 = C42.137D14φ: C2/C1 → C2 ⊆ Out D14⋊3Q8224D14:3Q8:27C2448,1122
D14⋊3Q8⋊28C2 = D28⋊10D4φ: C2/C1 → C2 ⊆ Out D14⋊3Q8112D14:3Q8:28C2448,1129
D14⋊3Q8⋊29C2 = Dic14⋊10D4φ: C2/C1 → C2 ⊆ Out D14⋊3Q8224D14:3Q8:29C2448,1130
D14⋊3Q8⋊30C2 = C42⋊20D14φ: C2/C1 → C2 ⊆ Out D14⋊3Q8112D14:3Q8:30C2448,1131
D14⋊3Q8⋊31C2 = C42⋊21D14φ: C2/C1 → C2 ⊆ Out D14⋊3Q8112D14:3Q8:31C2448,1132
D14⋊3Q8⋊32C2 = C42.234D14φ: C2/C1 → C2 ⊆ Out D14⋊3Q8224D14:3Q8:32C2448,1133
D14⋊3Q8⋊33C2 = C42.144D14φ: C2/C1 → C2 ⊆ Out D14⋊3Q8224D14:3Q8:33C2448,1135
D14⋊3Q8⋊34C2 = C42.145D14φ: C2/C1 → C2 ⊆ Out D14⋊3Q8224D14:3Q8:34C2448,1137
D14⋊3Q8⋊35C2 = D28⋊12D4φ: C2/C1 → C2 ⊆ Out D14⋊3Q8224D14:3Q8:35C2448,1179
D14⋊3Q8⋊36C2 = D28⋊8Q8φ: C2/C1 → C2 ⊆ Out D14⋊3Q8224D14:3Q8:36C2448,1180
D14⋊3Q8⋊37C2 = D28⋊9Q8φ: C2/C1 → C2 ⊆ Out D14⋊3Q8224D14:3Q8:37C2448,1183
D14⋊3Q8⋊38C2 = C42.178D14φ: C2/C1 → C2 ⊆ Out D14⋊3Q8224D14:3Q8:38C2448,1186
D14⋊3Q8⋊39C2 = C42.180D14φ: C2/C1 → C2 ⊆ Out D14⋊3Q8224D14:3Q8:39C2448,1188
D14⋊3Q8⋊40C2 = Q8×C7⋊D4φ: C2/C1 → C2 ⊆ Out D14⋊3Q8224D14:3Q8:40C2448,1268
D14⋊3Q8⋊41C2 = C14.442- 1+4φ: C2/C1 → C2 ⊆ Out D14⋊3Q8224D14:3Q8:41C2448,1269
D14⋊3Q8⋊42C2 = C14.452- 1+4φ: C2/C1 → C2 ⊆ Out D14⋊3Q8224D14:3Q8:42C2448,1270
D14⋊3Q8⋊43C2 = C14.1042- 1+4φ: C2/C1 → C2 ⊆ Out D14⋊3Q8224D14:3Q8:43C2448,1277
D14⋊3Q8⋊44C2 = C14.1452+ 1+4φ: C2/C1 → C2 ⊆ Out D14⋊3Q8112D14:3Q8:44C2448,1282
D14⋊3Q8⋊45C2 = C14.1082- 1+4φ: C2/C1 → C2 ⊆ Out D14⋊3Q8224D14:3Q8:45C2448,1286
D14⋊3Q8⋊46C2 = C42.131D14φ: trivial image224D14:3Q8:46C2448,1033
D14⋊3Q8⋊47C2 = (C2×C28)⋊15D4φ: trivial image112D14:3Q8:47C2448,1281

Non-split extensions G=N.Q with N=D14⋊3Q8 and Q=C2
extensionφ:Q→Out NdρLabelID
D14⋊3Q8.1C2 = D14.1SD16φ: C2/C1 → C2 ⊆ Out D14⋊3Q8224D14:3Q8.1C2448,339
D14⋊3Q8.2C2 = D14.Q16φ: C2/C1 → C2 ⊆ Out D14⋊3Q8224D14:3Q8.2C2448,343
D14⋊3Q8.3C2 = D14⋊Q16φ: C2/C1 → C2 ⊆ Out D14⋊3Q8224D14:3Q8.3C2448,347
D14⋊3Q8.4C2 = D14⋊C8.C2φ: C2/C1 → C2 ⊆ Out D14⋊3Q8224D14:3Q8.4C2448,348
D14⋊3Q8.5C2 = (C2×C8).D14φ: C2/C1 → C2 ⊆ Out D14⋊3Q8224D14:3Q8.5C2448,349
D14⋊3Q8.6C2 = C7⋊C8.D4φ: C2/C1 → C2 ⊆ Out D14⋊3Q8224D14:3Q8.6C2448,350
D14⋊3Q8.7C2 = D14⋊5Q16φ: C2/C1 → C2 ⊆ Out D14⋊3Q8224D14:3Q8.7C2448,720
D14⋊3Q8.8C2 = D14⋊3Q16φ: C2/C1 → C2 ⊆ Out D14⋊3Q8224D14:3Q8.8C2448,722
D14⋊3Q8.9C2 = C56.36D4φ: C2/C1 → C2 ⊆ Out D14⋊3Q8224D14:3Q8.9C2448,723
D14⋊3Q8.10C2 = C42.134D14φ: C2/C1 → C2 ⊆ Out D14⋊3Q8224D14:3Q8.10C2448,1036
D14⋊3Q8.11C2 = C42.241D14φ: C2/C1 → C2 ⊆ Out D14⋊3Q8224D14:3Q8.11C2448,1181
D14⋊3Q8.12C2 = C42.174D14φ: C2/C1 → C2 ⊆ Out D14⋊3Q8224D14:3Q8.12C2448,1182
D14⋊3Q8.13C2 = C42.176D14φ: C2/C1 → C2 ⊆ Out D14⋊3Q8224D14:3Q8.13C2448,1184
D14⋊3Q8.14C2 = C42.232D14φ: trivial image224D14:3Q8.14C2448,1031

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