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

Direct product G=N×Q with N=Dic7⋊Q8 and Q=C2
dρLabelID
C2×Dic7⋊Q8448C2xDic7:Q8448,1263

Semidirect products G=N:Q with N=Dic7⋊Q8 and Q=C2
extensionφ:Q→Out NdρLabelID
Dic7⋊Q8⋊1C2 = D28.4D4φ: C2/C1 → C2 ⊆ Out Dic7⋊Q81128-Dic7:Q8:1C2448,286
Dic7⋊Q8⋊2C2 = Dic7⋊SD16φ: C2/C1 → C2 ⊆ Out Dic7⋊Q8224Dic7:Q8:2C2448,352
Dic7⋊Q8⋊3C2 = Dic7⋊3SD16φ: C2/C1 → C2 ⊆ Out Dic7⋊Q8224Dic7:Q8:3C2448,696
Dic7⋊Q8⋊4C2 = C56.31D4φ: C2/C1 → C2 ⊆ Out Dic7⋊Q8224Dic7:Q8:4C2448,701
Dic7⋊Q8⋊5C2 = C56⋊15D4φ: C2/C1 → C2 ⊆ Out Dic7⋊Q8224Dic7:Q8:5C2448,709
Dic7⋊Q8⋊6C2 = C56.37D4φ: C2/C1 → C2 ⊆ Out Dic7⋊Q8224Dic7:Q8:6C2448,724
Dic7⋊Q8⋊7C2 = D28.40D4φ: C2/C1 → C2 ⊆ Out Dic7⋊Q81128-Dic7:Q8:7C2448,739
Dic7⋊Q8⋊8C2 = 2- 1+4.D7φ: C2/C1 → C2 ⊆ Out Dic7⋊Q81128-Dic7:Q8:8C2448,780
Dic7⋊Q8⋊9C2 = C42.122D14φ: C2/C1 → C2 ⊆ Out Dic7⋊Q8224Dic7:Q8:9C2448,1021
Dic7⋊Q8⋊10C2 = C42.134D14φ: C2/C1 → C2 ⊆ Out Dic7⋊Q8224Dic7:Q8:10C2448,1036
Dic7⋊Q8⋊11C2 = (Q8×Dic7)⋊C2φ: C2/C1 → C2 ⊆ Out Dic7⋊Q8224Dic7:Q8:11C2448,1075
Dic7⋊Q8⋊12C2 = C14.752- 1+4φ: C2/C1 → C2 ⊆ Out Dic7⋊Q8224Dic7:Q8:12C2448,1076
Dic7⋊Q8⋊13C2 = C14.152- 1+4φ: C2/C1 → C2 ⊆ Out Dic7⋊Q8224Dic7:Q8:13C2448,1078
Dic7⋊Q8⋊14C2 = D28⋊22D4φ: C2/C1 → C2 ⊆ Out Dic7⋊Q8224Dic7:Q8:14C2448,1084
Dic7⋊Q8⋊15C2 = Dic14⋊21D4φ: C2/C1 → C2 ⊆ Out Dic7⋊Q8224Dic7:Q8:15C2448,1085
Dic7⋊Q8⋊16C2 = C14.522+ 1+4φ: C2/C1 → C2 ⊆ Out Dic7⋊Q8224Dic7:Q8:16C2448,1089
Dic7⋊Q8⋊17C2 = C14.222- 1+4φ: C2/C1 → C2 ⊆ Out Dic7⋊Q8224Dic7:Q8:17C2448,1093
Dic7⋊Q8⋊18C2 = C14.582+ 1+4φ: C2/C1 → C2 ⊆ Out Dic7⋊Q8224Dic7:Q8:18C2448,1099
Dic7⋊Q8⋊19C2 = C42.233D14φ: C2/C1 → C2 ⊆ Out Dic7⋊Q8224Dic7:Q8:19C2448,1121
Dic7⋊Q8⋊20C2 = C42.137D14φ: C2/C1 → C2 ⊆ Out Dic7⋊Q8224Dic7:Q8:20C2448,1122
Dic7⋊Q8⋊21C2 = C42.138D14φ: C2/C1 → C2 ⊆ Out Dic7⋊Q8224Dic7:Q8:21C2448,1123
Dic7⋊Q8⋊22C2 = C42.139D14φ: C2/C1 → C2 ⊆ Out Dic7⋊Q8224Dic7:Q8:22C2448,1124
Dic7⋊Q8⋊23C2 = C42.140D14φ: C2/C1 → C2 ⊆ Out Dic7⋊Q8224Dic7:Q8:23C2448,1125
Dic7⋊Q8⋊24C2 = C42.141D14φ: C2/C1 → C2 ⊆ Out Dic7⋊Q8224Dic7:Q8:24C2448,1128
Dic7⋊Q8⋊25C2 = D7×C4⋊Q8φ: C2/C1 → C2 ⊆ Out Dic7⋊Q8224Dic7:Q8:25C2448,1176
Dic7⋊Q8⋊26C2 = C42.171D14φ: C2/C1 → C2 ⊆ Out Dic7⋊Q8224Dic7:Q8:26C2448,1177
Dic7⋊Q8⋊27C2 = C42.174D14φ: C2/C1 → C2 ⊆ Out Dic7⋊Q8224Dic7:Q8:27C2448,1182
Dic7⋊Q8⋊28C2 = C42.180D14φ: C2/C1 → C2 ⊆ Out Dic7⋊Q8224Dic7:Q8:28C2448,1188
Dic7⋊Q8⋊29C2 = Q8×C7⋊D4φ: C2/C1 → C2 ⊆ Out Dic7⋊Q8224Dic7:Q8:29C2448,1268
Dic7⋊Q8⋊30C2 = C14.442- 1+4φ: C2/C1 → C2 ⊆ Out Dic7⋊Q8224Dic7:Q8:30C2448,1269
Dic7⋊Q8⋊31C2 = C14.1042- 1+4φ: C2/C1 → C2 ⊆ Out Dic7⋊Q8224Dic7:Q8:31C2448,1277
Dic7⋊Q8⋊32C2 = C14.1052- 1+4φ: C2/C1 → C2 ⊆ Out Dic7⋊Q8224Dic7:Q8:32C2448,1278
Dic7⋊Q8⋊33C2 = C42.232D14φ: trivial image224Dic7:Q8:33C2448,1031
Dic7⋊Q8⋊34C2 = (C2×C28)⋊17D4φ: trivial image224Dic7:Q8:34C2448,1285

Non-split extensions G=N.Q with N=Dic7⋊Q8 and Q=C2
extensionφ:Q→Out NdρLabelID
Dic7⋊Q8.1C2 = (C2×Q8).D14φ: C2/C1 → C2 ⊆ Out Dic7⋊Q81128-Dic7:Q8.1C2448,35
Dic7⋊Q8.2C2 = Dic7.1Q16φ: C2/C1 → C2 ⊆ Out Dic7⋊Q8448Dic7:Q8.2C2448,326
Dic7⋊Q8.3C2 = Dic7⋊Q16φ: C2/C1 → C2 ⊆ Out Dic7⋊Q8448Dic7:Q8.3C2448,327
Dic7⋊Q8.4C2 = C56⋊C4.C2φ: C2/C1 → C2 ⊆ Out Dic7⋊Q8448Dic7:Q8.4C2448,331
Dic7⋊Q8.5C2 = C56.26D4φ: C2/C1 → C2 ⊆ Out Dic7⋊Q8448Dic7:Q8.5C2448,715
Dic7⋊Q8.6C2 = Dic7⋊3Q16φ: C2/C1 → C2 ⊆ Out Dic7⋊Q8448Dic7:Q8.6C2448,716
Dic7⋊Q8.7C2 = Dic14⋊10Q8φ: C2/C1 → C2 ⊆ Out Dic7⋊Q8448Dic7:Q8.7C2448,1020
Dic7⋊Q8.8C2 = Dic14⋊8Q8φ: C2/C1 → C2 ⊆ Out Dic7⋊Q8448Dic7:Q8.8C2448,1174
Dic7⋊Q8.9C2 = Dic14⋊9Q8φ: C2/C1 → C2 ⊆ Out Dic7⋊Q8448Dic7:Q8.9C2448,1175

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