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Extensions 1→N→G→Q→1 with N=C4⋊C4⋊7D7 and Q=C2

Direct product G=N×Q with N=C4⋊C4⋊7D7 and Q=C2
dρLabelID
C2×C4⋊C4⋊7D7224C2xC4:C4:7D7448,955

Semidirect products G=N:Q with N=C4⋊C4⋊7D7 and Q=C2
extensionφ:Q→Out NdρLabelID
C4⋊C4⋊7D7⋊1C2 = (D4×D7)⋊C4φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊7D7112C4:C4:7D7:1C2448,304
C4⋊C4⋊7D7⋊2C2 = D4⋊2D7⋊C4φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊7D7224C4:C4:7D7:2C2448,306
C4⋊C4⋊7D7⋊3C2 = C8⋊Dic7⋊C2φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊7D7224C4:C4:7D7:3C2448,313
C4⋊C4⋊7D7⋊4C2 = C56⋊1C4⋊C2φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊7D7224C4:C4:7D7:4C2448,318
C4⋊C4⋊7D7⋊5C2 = Q8⋊2D7⋊C4φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊7D7224C4:C4:7D7:5C2448,338
C4⋊C4⋊7D7⋊6C2 = C4.Q8⋊D7φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊7D7224C4:C4:7D7:6C2448,400
C4⋊C4⋊7D7⋊7C2 = C2.D8⋊D7φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊7D7224C4:C4:7D7:7C2448,419
C4⋊C4⋊7D7⋊8C2 = C14.82+ 1+4φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊7D7224C4:C4:7D7:8C2448,957
C4⋊C4⋊7D7⋊9C2 = C14.52- 1+4φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊7D7224C4:C4:7D7:9C2448,966
C4⋊C4⋊7D7⋊10C2 = C14.112+ 1+4φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊7D7224C4:C4:7D7:10C2448,967
C4⋊C4⋊7D7⋊11C2 = C42.91D14φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊7D7224C4:C4:7D7:11C2448,976
C4⋊C4⋊7D7⋊12C2 = C42.97D14φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊7D7224C4:C4:7D7:12C2448,985
C4⋊C4⋊7D7⋊13C2 = C42.98D14φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊7D7224C4:C4:7D7:13C2448,986
C4⋊C4⋊7D7⋊14C2 = C42⋊11D14φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊7D7112C4:C4:7D7:14C2448,998
C4⋊C4⋊7D7⋊15C2 = C42.113D14φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊7D7224C4:C4:7D7:15C2448,1011
C4⋊C4⋊7D7⋊16C2 = C42.117D14φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊7D7224C4:C4:7D7:16C2448,1016
C4⋊C4⋊7D7⋊17C2 = C42.132D14φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊7D7224C4:C4:7D7:17C2448,1034
C4⋊C4⋊7D7⋊18C2 = C42.135D14φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊7D7224C4:C4:7D7:18C2448,1037
C4⋊C4⋊7D7⋊19C2 = C4⋊C4⋊21D14φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊7D7112C4:C4:7D7:19C2448,1059
C4⋊C4⋊7D7⋊20C2 = C14.382+ 1+4φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊7D7112C4:C4:7D7:20C2448,1060
C4⋊C4⋊7D7⋊21C2 = C14.452+ 1+4φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊7D7224C4:C4:7D7:21C2448,1069
C4⋊C4⋊7D7⋊22C2 = C14.1152+ 1+4φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊7D7224C4:C4:7D7:22C2448,1071
C4⋊C4⋊7D7⋊23C2 = C22⋊Q8⋊25D7φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊7D7224C4:C4:7D7:23C2448,1077
C4⋊C4⋊7D7⋊24C2 = C4⋊C4⋊26D14φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊7D7112C4:C4:7D7:24C2448,1080
C4⋊C4⋊7D7⋊25C2 = C14.162- 1+4φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊7D7224C4:C4:7D7:25C2448,1081
C4⋊C4⋊7D7⋊26C2 = C14.532+ 1+4φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊7D7112C4:C4:7D7:26C2448,1090
C4⋊C4⋊7D7⋊27C2 = C14.212- 1+4φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊7D7224C4:C4:7D7:27C2448,1092
C4⋊C4⋊7D7⋊28C2 = C14.222- 1+4φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊7D7224C4:C4:7D7:28C2448,1093
C4⋊C4⋊7D7⋊29C2 = C14.232- 1+4φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊7D7224C4:C4:7D7:29C2448,1094
C4⋊C4⋊7D7⋊30C2 = C14.772- 1+4φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊7D7224C4:C4:7D7:30C2448,1095
C4⋊C4⋊7D7⋊31C2 = C4⋊C4.197D14φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊7D7224C4:C4:7D7:31C2448,1102
C4⋊C4⋊7D7⋊32C2 = C14.1222+ 1+4φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊7D7112C4:C4:7D7:32C2448,1111
C4⋊C4⋊7D7⋊33C2 = C14.622+ 1+4φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊7D7112C4:C4:7D7:33C2448,1112
C4⋊C4⋊7D7⋊34C2 = C14.662+ 1+4φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊7D7224C4:C4:7D7:34C2448,1116
C4⋊C4⋊7D7⋊35C2 = C42.237D14φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊7D7224C4:C4:7D7:35C2448,1144
C4⋊C4⋊7D7⋊36C2 = C42.151D14φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊7D7224C4:C4:7D7:36C2448,1146
C4⋊C4⋊7D7⋊37C2 = C42.152D14φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊7D7224C4:C4:7D7:37C2448,1147
C4⋊C4⋊7D7⋊38C2 = C42.153D14φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊7D7224C4:C4:7D7:38C2448,1148
C4⋊C4⋊7D7⋊39C2 = C42⋊24D14φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊7D7112C4:C4:7D7:39C2448,1158
C4⋊C4⋊7D7⋊40C2 = C42.189D14φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊7D7224C4:C4:7D7:40C2448,1159
C4⋊C4⋊7D7⋊41C2 = C42.162D14φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊7D7224C4:C4:7D7:41C2448,1161
C4⋊C4⋊7D7⋊42C2 = C42.164D14φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊7D7224C4:C4:7D7:42C2448,1163
C4⋊C4⋊7D7⋊43C2 = C42.177D14φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊7D7224C4:C4:7D7:43C2448,1185
C4⋊C4⋊7D7⋊44C2 = C42.179D14φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊7D7224C4:C4:7D7:44C2448,1187
C4⋊C4⋊7D7⋊45C2 = D7×C42⋊C2φ: trivial image112C4:C4:7D7:45C2448,973
C4⋊C4⋊7D7⋊46C2 = C4×D4⋊2D7φ: trivial image224C4:C4:7D7:46C2448,989
C4⋊C4⋊7D7⋊47C2 = C4×Q8⋊2D7φ: trivial image224C4:C4:7D7:47C2448,1026

Non-split extensions G=N.Q with N=C4⋊C4⋊7D7 and Q=C2
extensionφ:Q→Out NdρLabelID
C4⋊C4⋊7D7.1C2 = (Q8×D7)⋊C4φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊7D7224C4:C4:7D7.1C2448,336
C4⋊C4⋊7D7.2C2 = D14⋊C8.C2φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊7D7224C4:C4:7D7.2C2448,348
C4⋊C4⋊7D7.3C2 = (C2×C8).D14φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊7D7224C4:C4:7D7.3C2448,349
C4⋊C4⋊7D7.4C2 = (C8×D7)⋊C4φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊7D7224C4:C4:7D7.4C2448,394
C4⋊C4⋊7D7.5C2 = C8⋊(C4×D7)φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊7D7224C4:C4:7D7.5C2448,395
C4⋊C4⋊7D7.6C2 = C28.(C4○D4)φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊7D7224C4:C4:7D7.6C2448,401
C4⋊C4⋊7D7.7C2 = C8.27(C4×D7)φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊7D7224C4:C4:7D7.7C2448,414
C4⋊C4⋊7D7.8C2 = C56⋊(C2×C4)φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊7D7224C4:C4:7D7.8C2448,415
C4⋊C4⋊7D7.9C2 = C2.D8⋊7D7φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊7D7224C4:C4:7D7.9C2448,422
C4⋊C4⋊7D7.10C2 = C42.125D14φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊7D7224C4:C4:7D7.10C2448,1025
C4⋊C4⋊7D7.11C2 = C42.236D14φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊7D7224C4:C4:7D7.11C2448,1141
C4⋊C4⋊7D7.12C2 = C42.148D14φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊7D7224C4:C4:7D7.12C2448,1142
C4⋊C4⋊7D7.13C2 = C42.154D14φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊7D7224C4:C4:7D7.13C2448,1149
C4⋊C4⋊7D7.14C2 = C42.241D14φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊7D7224C4:C4:7D7.14C2448,1181
C4⋊C4⋊7D7.15C2 = C42.174D14φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊7D7224C4:C4:7D7.15C2448,1182

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