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Extensions 1→N→G→Q→1 with N=Dic7⋊4D4 and Q=C2

Direct product G=N×Q with N=Dic7⋊4D4 and Q=C2
dρLabelID
C2×Dic7⋊4D4224C2xDic7:4D4448,938

Semidirect products G=N:Q with N=Dic7⋊4D4 and Q=C2
extensionφ:Q→Out NdρLabelID
Dic7⋊4D4⋊1C2 = C24.56D14φ: C2/C1 → C2 ⊆ Out Dic7⋊4D4112Dic7:4D4:1C2448,1039
Dic7⋊4D4⋊2C2 = C24⋊3D14φ: C2/C1 → C2 ⊆ Out Dic7⋊4D4112Dic7:4D4:2C2448,1043
Dic7⋊4D4⋊3C2 = C24.33D14φ: C2/C1 → C2 ⊆ Out Dic7⋊4D4112Dic7:4D4:3C2448,1044
Dic7⋊4D4⋊4C2 = C24.35D14φ: C2/C1 → C2 ⊆ Out Dic7⋊4D4112Dic7:4D4:4C2448,1046
Dic7⋊4D4⋊5C2 = C28⋊(C4○D4)φ: C2/C1 → C2 ⊆ Out Dic7⋊4D4224Dic7:4D4:5C2448,1049
Dic7⋊4D4⋊6C2 = Dic14⋊20D4φ: C2/C1 → C2 ⊆ Out Dic7⋊4D4224Dic7:4D4:6C2448,1052
Dic7⋊4D4⋊7C2 = C14.342+ 1+4φ: C2/C1 → C2 ⊆ Out Dic7⋊4D4224Dic7:4D4:7C2448,1054
Dic7⋊4D4⋊8C2 = C4⋊C4⋊21D14φ: C2/C1 → C2 ⊆ Out Dic7⋊4D4112Dic7:4D4:8C2448,1059
Dic7⋊4D4⋊9C2 = C14.402+ 1+4φ: C2/C1 → C2 ⊆ Out Dic7⋊4D4112Dic7:4D4:9C2448,1063
Dic7⋊4D4⋊10C2 = C14.422+ 1+4φ: C2/C1 → C2 ⊆ Out Dic7⋊4D4112Dic7:4D4:10C2448,1066
Dic7⋊4D4⋊11C2 = C14.432+ 1+4φ: C2/C1 → C2 ⊆ Out Dic7⋊4D4224Dic7:4D4:11C2448,1067
Dic7⋊4D4⋊12C2 = C14.442+ 1+4φ: C2/C1 → C2 ⊆ Out Dic7⋊4D4224Dic7:4D4:12C2448,1068
Dic7⋊4D4⋊13C2 = C22⋊Q8⋊25D7φ: C2/C1 → C2 ⊆ Out Dic7⋊4D4224Dic7:4D4:13C2448,1077
Dic7⋊4D4⋊14C2 = C4⋊C4⋊26D14φ: C2/C1 → C2 ⊆ Out Dic7⋊4D4112Dic7:4D4:14C2448,1080
Dic7⋊4D4⋊15C2 = C14.562+ 1+4φ: C2/C1 → C2 ⊆ Out Dic7⋊4D4112Dic7:4D4:15C2448,1097
Dic7⋊4D4⋊16C2 = C14.572+ 1+4φ: C2/C1 → C2 ⊆ Out Dic7⋊4D4224Dic7:4D4:16C2448,1098
Dic7⋊4D4⋊17C2 = C4⋊C4.197D14φ: C2/C1 → C2 ⊆ Out Dic7⋊4D4224Dic7:4D4:17C2448,1102
Dic7⋊4D4⋊18C2 = C14.1212+ 1+4φ: C2/C1 → C2 ⊆ Out Dic7⋊4D4112Dic7:4D4:18C2448,1107
Dic7⋊4D4⋊19C2 = C14.822- 1+4φ: C2/C1 → C2 ⊆ Out Dic7⋊4D4224Dic7:4D4:19C2448,1108
Dic7⋊4D4⋊20C2 = C4⋊C4⋊28D14φ: C2/C1 → C2 ⊆ Out Dic7⋊4D4112Dic7:4D4:20C2448,1109
Dic7⋊4D4⋊21C2 = C14.1222+ 1+4φ: C2/C1 → C2 ⊆ Out Dic7⋊4D4112Dic7:4D4:21C2448,1111
Dic7⋊4D4⋊22C2 = C14.832- 1+4φ: C2/C1 → C2 ⊆ Out Dic7⋊4D4224Dic7:4D4:22C2448,1113
Dic7⋊4D4⋊23C2 = C14.642+ 1+4φ: C2/C1 → C2 ⊆ Out Dic7⋊4D4224Dic7:4D4:23C2448,1114
Dic7⋊4D4⋊24C2 = C14.662+ 1+4φ: C2/C1 → C2 ⊆ Out Dic7⋊4D4224Dic7:4D4:24C2448,1116
Dic7⋊4D4⋊25C2 = C14.672+ 1+4φ: C2/C1 → C2 ⊆ Out Dic7⋊4D4224Dic7:4D4:25C2448,1117
Dic7⋊4D4⋊26C2 = C14.852- 1+4φ: C2/C1 → C2 ⊆ Out Dic7⋊4D4224Dic7:4D4:26C2448,1118
Dic7⋊4D4⋊27C2 = C42.233D14φ: C2/C1 → C2 ⊆ Out Dic7⋊4D4224Dic7:4D4:27C2448,1121
Dic7⋊4D4⋊28C2 = C42.137D14φ: C2/C1 → C2 ⊆ Out Dic7⋊4D4224Dic7:4D4:28C2448,1122
Dic7⋊4D4⋊29C2 = C42.138D14φ: C2/C1 → C2 ⊆ Out Dic7⋊4D4224Dic7:4D4:29C2448,1123
Dic7⋊4D4⋊30C2 = Dic14⋊10D4φ: C2/C1 → C2 ⊆ Out Dic7⋊4D4224Dic7:4D4:30C2448,1130
Dic7⋊4D4⋊31C2 = C42⋊20D14φ: C2/C1 → C2 ⊆ Out Dic7⋊4D4112Dic7:4D4:31C2448,1131
Dic7⋊4D4⋊32C2 = C42⋊21D14φ: C2/C1 → C2 ⊆ Out Dic7⋊4D4112Dic7:4D4:32C2448,1132
Dic7⋊4D4⋊33C2 = C42.234D14φ: C2/C1 → C2 ⊆ Out Dic7⋊4D4224Dic7:4D4:33C2448,1133
Dic7⋊4D4⋊34C2 = C42.143D14φ: C2/C1 → C2 ⊆ Out Dic7⋊4D4224Dic7:4D4:34C2448,1134
Dic7⋊4D4⋊35C2 = C42.189D14φ: C2/C1 → C2 ⊆ Out Dic7⋊4D4224Dic7:4D4:35C2448,1159
Dic7⋊4D4⋊36C2 = C42.161D14φ: C2/C1 → C2 ⊆ Out Dic7⋊4D4224Dic7:4D4:36C2448,1160
Dic7⋊4D4⋊37C2 = C42.163D14φ: C2/C1 → C2 ⊆ Out Dic7⋊4D4224Dic7:4D4:37C2448,1162
Dic7⋊4D4⋊38C2 = C42.164D14φ: C2/C1 → C2 ⊆ Out Dic7⋊4D4224Dic7:4D4:38C2448,1163
Dic7⋊4D4⋊39C2 = C24.24D14φ: C2/C1 → C2 ⊆ Out Dic7⋊4D4112Dic7:4D4:39C2448,939
Dic7⋊4D4⋊40C2 = C24.27D14φ: C2/C1 → C2 ⊆ Out Dic7⋊4D4112Dic7:4D4:40C2448,943
Dic7⋊4D4⋊41C2 = C24.31D14φ: C2/C1 → C2 ⊆ Out Dic7⋊4D4112Dic7:4D4:41C2448,948
Dic7⋊4D4⋊42C2 = C42.91D14φ: C2/C1 → C2 ⊆ Out Dic7⋊4D4224Dic7:4D4:42C2448,976
Dic7⋊4D4⋊43C2 = C42⋊10D14φ: C2/C1 → C2 ⊆ Out Dic7⋊4D4112Dic7:4D4:43C2448,980
Dic7⋊4D4⋊44C2 = C42.104D14φ: C2/C1 → C2 ⊆ Out Dic7⋊4D4224Dic7:4D4:44C2448,993
Dic7⋊4D4⋊45C2 = C42⋊11D14φ: C2/C1 → C2 ⊆ Out Dic7⋊4D4112Dic7:4D4:45C2448,998
Dic7⋊4D4⋊46C2 = C42.108D14φ: C2/C1 → C2 ⊆ Out Dic7⋊4D4224Dic7:4D4:46C2448,999
Dic7⋊4D4⋊47C2 = Dic14⋊23D4φ: C2/C1 → C2 ⊆ Out Dic7⋊4D4224Dic7:4D4:47C2448,1005
Dic7⋊4D4⋊48C2 = C42.119D14φ: C2/C1 → C2 ⊆ Out Dic7⋊4D4224Dic7:4D4:48C2448,1018
Dic7⋊4D4⋊49C2 = C42.188D14φ: trivial image224Dic7:4D4:49C2448,975
Dic7⋊4D4⋊50C2 = C4×D4⋊2D7φ: trivial image224Dic7:4D4:50C2448,989
Dic7⋊4D4⋊51C2 = C4×D4×D7φ: trivial image112Dic7:4D4:51C2448,997

Non-split extensions G=N.Q with N=Dic7⋊4D4 and Q=C2
extensionφ:Q→Out NdρLabelID
Dic7⋊4D4.1C2 = Dic14⋊21D4φ: C2/C1 → C2 ⊆ Out Dic7⋊4D4224Dic7:4D4.1C2448,1085
Dic7⋊4D4.2C2 = C14.1182+ 1+4φ: C2/C1 → C2 ⊆ Out Dic7⋊4D4224Dic7:4D4.2C2448,1088
Dic7⋊4D4.3C2 = C14.522+ 1+4φ: C2/C1 → C2 ⊆ Out Dic7⋊4D4224Dic7:4D4.3C2448,1089
Dic7⋊4D4.4C2 = C42.160D14φ: C2/C1 → C2 ⊆ Out Dic7⋊4D4224Dic7:4D4.4C2448,1155
Dic7⋊4D4.5C2 = C42.162D14φ: C2/C1 → C2 ⊆ Out Dic7⋊4D4224Dic7:4D4.5C2448,1161
Dic7⋊4D4.6C2 = C42.96D14φ: C2/C1 → C2 ⊆ Out Dic7⋊4D4224Dic7:4D4.6C2448,984

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