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Extensions 1→N→G→Q→1 with N=Dic7:D4 and Q=C2

Direct product G=NxQ with N=Dic7:D4 and Q=C2
dρLabelID
C2xDic7:D4224C2xDic7:D4448,1255

Semidirect products G=N:Q with N=Dic7:D4 and Q=C2
extensionφ:Q→Out NdρLabelID
Dic7:D4:1C2 = C24.56D14φ: C2/C1 → C2 ⊆ Out Dic7:D4112Dic7:D4:1C2448,1039
Dic7:D4:2C2 = C24:3D14φ: C2/C1 → C2 ⊆ Out Dic7:D4112Dic7:D4:2C2448,1043
Dic7:D4:3C2 = C24.33D14φ: C2/C1 → C2 ⊆ Out Dic7:D4112Dic7:D4:3C2448,1044
Dic7:D4:4C2 = C24.34D14φ: C2/C1 → C2 ⊆ Out Dic7:D4112Dic7:D4:4C2448,1045
Dic7:D4:5C2 = C24.35D14φ: C2/C1 → C2 ⊆ Out Dic7:D4112Dic7:D4:5C2448,1046
Dic7:D4:6C2 = C24.36D14φ: C2/C1 → C2 ⊆ Out Dic7:D4112Dic7:D4:6C2448,1048
Dic7:D4:7C2 = C28:(C4oD4)φ: C2/C1 → C2 ⊆ Out Dic7:D4224Dic7:D4:7C2448,1049
Dic7:D4:8C2 = C14.682- 1+4φ: C2/C1 → C2 ⊆ Out Dic7:D4224Dic7:D4:8C2448,1050
Dic7:D4:9C2 = Dic14:19D4φ: C2/C1 → C2 ⊆ Out Dic7:D4224Dic7:D4:9C2448,1051
Dic7:D4:10C2 = Dic14:20D4φ: C2/C1 → C2 ⊆ Out Dic7:D4224Dic7:D4:10C2448,1052
Dic7:D4:11C2 = D7xC4:D4φ: C2/C1 → C2 ⊆ Out Dic7:D4112Dic7:D4:11C2448,1057
Dic7:D4:12C2 = C14.372+ 1+4φ: C2/C1 → C2 ⊆ Out Dic7:D4112Dic7:D4:12C2448,1058
Dic7:D4:13C2 = C14.722- 1+4φ: C2/C1 → C2 ⊆ Out Dic7:D4224Dic7:D4:13C2448,1061
Dic7:D4:14C2 = C14.422+ 1+4φ: C2/C1 → C2 ⊆ Out Dic7:D4112Dic7:D4:14C2448,1066
Dic7:D4:15C2 = C14.452+ 1+4φ: C2/C1 → C2 ⊆ Out Dic7:D4224Dic7:D4:15C2448,1069
Dic7:D4:16C2 = C14.1152+ 1+4φ: C2/C1 → C2 ⊆ Out Dic7:D4224Dic7:D4:16C2448,1071
Dic7:D4:17C2 = C14.472+ 1+4φ: C2/C1 → C2 ⊆ Out Dic7:D4224Dic7:D4:17C2448,1072
Dic7:D4:18C2 = C14.482+ 1+4φ: C2/C1 → C2 ⊆ Out Dic7:D4112Dic7:D4:18C2448,1073
Dic7:D4:19C2 = C14.492+ 1+4φ: C2/C1 → C2 ⊆ Out Dic7:D4224Dic7:D4:19C2448,1074
Dic7:D4:20C2 = C14.1212+ 1+4φ: C2/C1 → C2 ⊆ Out Dic7:D4112Dic7:D4:20C2448,1107
Dic7:D4:21C2 = C14.822- 1+4φ: C2/C1 → C2 ⊆ Out Dic7:D4224Dic7:D4:21C2448,1108
Dic7:D4:22C2 = C14.642+ 1+4φ: C2/C1 → C2 ⊆ Out Dic7:D4224Dic7:D4:22C2448,1114
Dic7:D4:23C2 = C14.662+ 1+4φ: C2/C1 → C2 ⊆ Out Dic7:D4224Dic7:D4:23C2448,1116
Dic7:D4:24C2 = C14.862- 1+4φ: C2/C1 → C2 ⊆ Out Dic7:D4224Dic7:D4:24C2448,1120
Dic7:D4:25C2 = C42.104D14φ: C2/C1 → C2 ⊆ Out Dic7:D4224Dic7:D4:25C2448,993
Dic7:D4:26C2 = Dic14:23D4φ: C2/C1 → C2 ⊆ Out Dic7:D4224Dic7:D4:26C2448,1005
Dic7:D4:27C2 = C42:17D14φ: C2/C1 → C2 ⊆ Out Dic7:D4112Dic7:D4:27C2448,1013
Dic7:D4:28C2 = C42.119D14φ: C2/C1 → C2 ⊆ Out Dic7:D4224Dic7:D4:28C2448,1018
Dic7:D4:29C2 = C14.342+ 1+4φ: C2/C1 → C2 ⊆ Out Dic7:D4224Dic7:D4:29C2448,1054
Dic7:D4:30C2 = C14.402+ 1+4φ: C2/C1 → C2 ⊆ Out Dic7:D4112Dic7:D4:30C2448,1063
Dic7:D4:31C2 = C14.442+ 1+4φ: C2/C1 → C2 ⊆ Out Dic7:D4224Dic7:D4:31C2448,1068
Dic7:D4:32C2 = C14.462+ 1+4φ: C2/C1 → C2 ⊆ Out Dic7:D4112Dic7:D4:32C2448,1070
Dic7:D4:33C2 = C42.138D14φ: C2/C1 → C2 ⊆ Out Dic7:D4224Dic7:D4:33C2448,1123
Dic7:D4:34C2 = C42:20D14φ: C2/C1 → C2 ⊆ Out Dic7:D4112Dic7:D4:34C2448,1131
Dic7:D4:35C2 = C42.145D14φ: C2/C1 → C2 ⊆ Out Dic7:D4224Dic7:D4:35C2448,1137
Dic7:D4:36C2 = C42:26D14φ: C2/C1 → C2 ⊆ Out Dic7:D4112Dic7:D4:36C2448,1168
Dic7:D4:37C2 = Dic14:11D4φ: C2/C1 → C2 ⊆ Out Dic7:D4224Dic7:D4:37C2448,1171
Dic7:D4:38C2 = C42.168D14φ: C2/C1 → C2 ⊆ Out Dic7:D4224Dic7:D4:38C2448,1172
Dic7:D4:39C2 = C42:28D14φ: C2/C1 → C2 ⊆ Out Dic7:D4112Dic7:D4:39C2448,1173
Dic7:D4:40C2 = D4xC7:D4φ: C2/C1 → C2 ⊆ Out Dic7:D4112Dic7:D4:40C2448,1254
Dic7:D4:41C2 = C24:7D14φ: C2/C1 → C2 ⊆ Out Dic7:D4112Dic7:D4:41C2448,1257
Dic7:D4:42C2 = C24.42D14φ: C2/C1 → C2 ⊆ Out Dic7:D4112Dic7:D4:42C2448,1259
Dic7:D4:43C2 = C14.1042- 1+4φ: C2/C1 → C2 ⊆ Out Dic7:D4224Dic7:D4:43C2448,1277
Dic7:D4:44C2 = C14.1452+ 1+4φ: C2/C1 → C2 ⊆ Out Dic7:D4112Dic7:D4:44C2448,1282
Dic7:D4:45C2 = C14.1082- 1+4φ: C2/C1 → C2 ⊆ Out Dic7:D4224Dic7:D4:45C2448,1286
Dic7:D4:46C2 = C42:12D14φ: trivial image112Dic7:D4:46C2448,1000
Dic7:D4:47C2 = (C2xC28):17D4φ: trivial image224Dic7:D4:47C2448,1285

Non-split extensions G=N.Q with N=Dic7:D4 and Q=C2
extensionφ:Q→Out NdρLabelID
Dic7:D4.1C2 = C4:C4.197D14φ: C2/C1 → C2 ⊆ Out Dic7:D4224Dic7:D4.1C2448,1102
Dic7:D4.2C2 = C14.842- 1+4φ: C2/C1 → C2 ⊆ Out Dic7:D4224Dic7:D4.2C2448,1115
Dic7:D4.3C2 = C14.852- 1+4φ: C2/C1 → C2 ⊆ Out Dic7:D4224Dic7:D4.3C2448,1118
Dic7:D4.4C2 = C42.118D14φ: C2/C1 → C2 ⊆ Out Dic7:D4224Dic7:D4.4C2448,1017
Dic7:D4.5C2 = C42.137D14φ: C2/C1 → C2 ⊆ Out Dic7:D4224Dic7:D4.5C2448,1122
Dic7:D4.6C2 = C42.102D14φ: trivial image224Dic7:D4.6C2448,991

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