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Extensions 1→N→G→Q→1 with N=Dic7⋊3Q8 and Q=C2

Direct product G=N×Q with N=Dic7⋊3Q8 and Q=C2
dρLabelID
C2×Dic7⋊3Q8448C2xDic7:3Q8448,949

Semidirect products G=N:Q with N=Dic7⋊3Q8 and Q=C2
extensionφ:Q→Out NdρLabelID
Dic7⋊3Q8⋊1C2 = D4.D7⋊C4φ: C2/C1 → C2 ⊆ Out Dic7⋊3Q8224Dic7:3Q8:1C2448,291
Dic7⋊3Q8⋊2C2 = Dic7⋊6SD16φ: C2/C1 → C2 ⊆ Out Dic7⋊3Q8224Dic7:3Q8:2C2448,292
Dic7⋊3Q8⋊3C2 = Dic14⋊2D4φ: C2/C1 → C2 ⊆ Out Dic7⋊3Q8224Dic7:3Q8:3C2448,296
Dic7⋊3Q8⋊4C2 = Dic14.D4φ: C2/C1 → C2 ⊆ Out Dic7⋊3Q8224Dic7:3Q8:4C2448,301
Dic7⋊3Q8⋊5C2 = Dic14.11D4φ: C2/C1 → C2 ⊆ Out Dic7⋊3Q8224Dic7:3Q8:5C2448,332
Dic7⋊3Q8⋊6C2 = Dic7⋊8SD16φ: C2/C1 → C2 ⊆ Out Dic7⋊3Q8224Dic7:3Q8:6C2448,386
Dic7⋊3Q8⋊7C2 = C56⋊C2⋊C4φ: C2/C1 → C2 ⊆ Out Dic7⋊3Q8224Dic7:3Q8:7C2448,423
Dic7⋊3Q8⋊8C2 = C14.82+ 1+4φ: C2/C1 → C2 ⊆ Out Dic7⋊3Q8224Dic7:3Q8:8C2448,957
Dic7⋊3Q8⋊9C2 = C14.102+ 1+4φ: C2/C1 → C2 ⊆ Out Dic7⋊3Q8224Dic7:3Q8:9C2448,964
Dic7⋊3Q8⋊10C2 = C14.52- 1+4φ: C2/C1 → C2 ⊆ Out Dic7⋊3Q8224Dic7:3Q8:10C2448,966
Dic7⋊3Q8⋊11C2 = C42.87D14φ: C2/C1 → C2 ⊆ Out Dic7⋊3Q8224Dic7:3Q8:11C2448,969
Dic7⋊3Q8⋊12C2 = C42.94D14φ: C2/C1 → C2 ⊆ Out Dic7⋊3Q8224Dic7:3Q8:12C2448,982
Dic7⋊3Q8⋊13C2 = C42.98D14φ: C2/C1 → C2 ⊆ Out Dic7⋊3Q8224Dic7:3Q8:13C2448,986
Dic7⋊3Q8⋊14C2 = C42.106D14φ: C2/C1 → C2 ⊆ Out Dic7⋊3Q8224Dic7:3Q8:14C2448,995
Dic7⋊3Q8⋊15C2 = C42.108D14φ: C2/C1 → C2 ⊆ Out Dic7⋊3Q8224Dic7:3Q8:15C2448,999
Dic7⋊3Q8⋊16C2 = C42.114D14φ: C2/C1 → C2 ⊆ Out Dic7⋊3Q8224Dic7:3Q8:16C2448,1012
Dic7⋊3Q8⋊17C2 = C42.122D14φ: C2/C1 → C2 ⊆ Out Dic7⋊3Q8224Dic7:3Q8:17C2448,1021
Dic7⋊3Q8⋊18C2 = C42.125D14φ: C2/C1 → C2 ⊆ Out Dic7⋊3Q8224Dic7:3Q8:18C2448,1025
Dic7⋊3Q8⋊19C2 = Dic14⋊19D4φ: C2/C1 → C2 ⊆ Out Dic7⋊3Q8224Dic7:3Q8:19C2448,1051
Dic7⋊3Q8⋊20C2 = Dic14⋊20D4φ: C2/C1 → C2 ⊆ Out Dic7⋊3Q8224Dic7:3Q8:20C2448,1052
Dic7⋊3Q8⋊21C2 = C4⋊C4.178D14φ: C2/C1 → C2 ⊆ Out Dic7⋊3Q8224Dic7:3Q8:21C2448,1053
Dic7⋊3Q8⋊22C2 = C14.712- 1+4φ: C2/C1 → C2 ⊆ Out Dic7⋊3Q8224Dic7:3Q8:22C2448,1056
Dic7⋊3Q8⋊23C2 = (Q8×Dic7)⋊C2φ: C2/C1 → C2 ⊆ Out Dic7⋊3Q8224Dic7:3Q8:23C2448,1075
Dic7⋊3Q8⋊24C2 = C14.152- 1+4φ: C2/C1 → C2 ⊆ Out Dic7⋊3Q8224Dic7:3Q8:24C2448,1078
Dic7⋊3Q8⋊25C2 = Dic14⋊21D4φ: C2/C1 → C2 ⊆ Out Dic7⋊3Q8224Dic7:3Q8:25C2448,1085
Dic7⋊3Q8⋊26C2 = Dic14⋊22D4φ: C2/C1 → C2 ⊆ Out Dic7⋊3Q8224Dic7:3Q8:26C2448,1086
Dic7⋊3Q8⋊27C2 = C14.522+ 1+4φ: C2/C1 → C2 ⊆ Out Dic7⋊3Q8224Dic7:3Q8:27C2448,1089
Dic7⋊3Q8⋊28C2 = C14.222- 1+4φ: C2/C1 → C2 ⊆ Out Dic7⋊3Q8224Dic7:3Q8:28C2448,1093
Dic7⋊3Q8⋊29C2 = C14.232- 1+4φ: C2/C1 → C2 ⊆ Out Dic7⋊3Q8224Dic7:3Q8:29C2448,1094
Dic7⋊3Q8⋊30C2 = C4⋊C4.197D14φ: C2/C1 → C2 ⊆ Out Dic7⋊3Q8224Dic7:3Q8:30C2448,1102
Dic7⋊3Q8⋊31C2 = C14.802- 1+4φ: C2/C1 → C2 ⊆ Out Dic7⋊3Q8224Dic7:3Q8:31C2448,1103
Dic7⋊3Q8⋊32C2 = C14.842- 1+4φ: C2/C1 → C2 ⊆ Out Dic7⋊3Q8224Dic7:3Q8:32C2448,1115
Dic7⋊3Q8⋊33C2 = C14.672+ 1+4φ: C2/C1 → C2 ⊆ Out Dic7⋊3Q8224Dic7:3Q8:33C2448,1117
Dic7⋊3Q8⋊34C2 = C42.236D14φ: C2/C1 → C2 ⊆ Out Dic7⋊3Q8224Dic7:3Q8:34C2448,1141
Dic7⋊3Q8⋊35C2 = C42.237D14φ: C2/C1 → C2 ⊆ Out Dic7⋊3Q8224Dic7:3Q8:35C2448,1144
Dic7⋊3Q8⋊36C2 = C42.151D14φ: C2/C1 → C2 ⊆ Out Dic7⋊3Q8224Dic7:3Q8:36C2448,1146
Dic7⋊3Q8⋊37C2 = C42.154D14φ: C2/C1 → C2 ⊆ Out Dic7⋊3Q8224Dic7:3Q8:37C2448,1149
Dic7⋊3Q8⋊38C2 = C42.155D14φ: C2/C1 → C2 ⊆ Out Dic7⋊3Q8224Dic7:3Q8:38C2448,1150
Dic7⋊3Q8⋊39C2 = C42.159D14φ: C2/C1 → C2 ⊆ Out Dic7⋊3Q8224Dic7:3Q8:39C2448,1154
Dic7⋊3Q8⋊40C2 = C42.160D14φ: C2/C1 → C2 ⊆ Out Dic7⋊3Q8224Dic7:3Q8:40C2448,1155
Dic7⋊3Q8⋊41C2 = C42.189D14φ: C2/C1 → C2 ⊆ Out Dic7⋊3Q8224Dic7:3Q8:41C2448,1159
Dic7⋊3Q8⋊42C2 = C42.241D14φ: C2/C1 → C2 ⊆ Out Dic7⋊3Q8224Dic7:3Q8:42C2448,1181
Dic7⋊3Q8⋊43C2 = C42.178D14φ: C2/C1 → C2 ⊆ Out Dic7⋊3Q8224Dic7:3Q8:43C2448,1186
Dic7⋊3Q8⋊44C2 = C42.188D14φ: trivial image224Dic7:3Q8:44C2448,975
Dic7⋊3Q8⋊45C2 = C4×D4⋊2D7φ: trivial image224Dic7:3Q8:45C2448,989
Dic7⋊3Q8⋊46C2 = C4×Q8×D7φ: trivial image224Dic7:3Q8:46C2448,1024

Non-split extensions G=N.Q with N=Dic7⋊3Q8 and Q=C2
extensionφ:Q→Out NdρLabelID
Dic7⋊3Q8.1C2 = C7⋊Q16⋊C4φ: C2/C1 → C2 ⊆ Out Dic7⋊3Q8448Dic7:3Q8.1C2448,323
Dic7⋊3Q8.2C2 = Dic7⋊4Q16φ: C2/C1 → C2 ⊆ Out Dic7⋊3Q8448Dic7:3Q8.2C2448,324
Dic7⋊3Q8.3C2 = Dic7⋊Q16φ: C2/C1 → C2 ⊆ Out Dic7⋊3Q8448Dic7:3Q8.3C2448,327
Dic7⋊3Q8.4C2 = Dic28⋊9C4φ: C2/C1 → C2 ⊆ Out Dic7⋊3Q8448Dic7:3Q8.4C2448,387
Dic7⋊3Q8.5C2 = Dic14⋊Q8φ: C2/C1 → C2 ⊆ Out Dic7⋊3Q8448Dic7:3Q8.5C2448,388
Dic7⋊3Q8.6C2 = Dic14.Q8φ: C2/C1 → C2 ⊆ Out Dic7⋊3Q8448Dic7:3Q8.6C2448,391
Dic7⋊3Q8.7C2 = Dic28⋊6C4φ: C2/C1 → C2 ⊆ Out Dic7⋊3Q8448Dic7:3Q8.7C2448,407
Dic7⋊3Q8.8C2 = Dic14⋊2Q8φ: C2/C1 → C2 ⊆ Out Dic7⋊3Q8448Dic7:3Q8.8C2448,409
Dic7⋊3Q8.9C2 = Dic14.2Q8φ: C2/C1 → C2 ⊆ Out Dic7⋊3Q8448Dic7:3Q8.9C2448,411
Dic7⋊3Q8.10C2 = Dic14⋊10Q8φ: C2/C1 → C2 ⊆ Out Dic7⋊3Q8448Dic7:3Q8.10C2448,1020
Dic7⋊3Q8.11C2 = Dic14⋊7Q8φ: C2/C1 → C2 ⊆ Out Dic7⋊3Q8448Dic7:3Q8.11C2448,1138
Dic7⋊3Q8.12C2 = Dic14⋊8Q8φ: C2/C1 → C2 ⊆ Out Dic7⋊3Q8448Dic7:3Q8.12C2448,1174
Dic7⋊3Q8.13C2 = Dic14⋊9Q8φ: C2/C1 → C2 ⊆ Out Dic7⋊3Q8448Dic7:3Q8.13C2448,1175

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