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

Direct product G=N×Q with N=C4⋊C4⋊D7 and Q=C2
dρLabelID
C2×C4⋊C4⋊D7224C2xC4:C4:D7448,965

Semidirect products G=N:Q with N=C4⋊C4⋊D7 and Q=C2
extensionφ:Q→Out NdρLabelID
C4⋊C4⋊D7⋊1C2 = C14.52- 1+4φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊D7224C4:C4:D7:1C2448,966
C4⋊C4⋊D7⋊2C2 = C14.112+ 1+4φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊D7224C4:C4:D7:2C2448,967
C4⋊C4⋊D7⋊3C2 = C14.62- 1+4φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊D7224C4:C4:D7:3C2448,968
C4⋊C4⋊D7⋊4C2 = C42⋊10D14φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊D7112C4:C4:D7:4C2448,980
C4⋊C4⋊D7⋊5C2 = C42.96D14φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊D7224C4:C4:D7:5C2448,984
C4⋊C4⋊D7⋊6C2 = C42.99D14φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊D7224C4:C4:D7:6C2448,987
C4⋊C4⋊D7⋊7C2 = C42⋊16D14φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊D7112C4:C4:D7:7C2448,1009
C4⋊C4⋊D7⋊8C2 = C42⋊17D14φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊D7112C4:C4:D7:8C2448,1013
C4⋊C4⋊D7⋊9C2 = C42.119D14φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊D7224C4:C4:D7:9C2448,1018
C4⋊C4⋊D7⋊10C2 = C42.122D14φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊D7224C4:C4:D7:10C2448,1021
C4⋊C4⋊D7⋊11C2 = C42.135D14φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊D7224C4:C4:D7:11C2448,1037
C4⋊C4⋊D7⋊12C2 = C14.342+ 1+4φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊D7224C4:C4:D7:12C2448,1054
C4⋊C4⋊D7⋊13C2 = C14.422+ 1+4φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊D7112C4:C4:D7:13C2448,1066
C4⋊C4⋊D7⋊14C2 = C14.462+ 1+4φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊D7112C4:C4:D7:14C2448,1070
C4⋊C4⋊D7⋊15C2 = C14.482+ 1+4φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊D7112C4:C4:D7:15C2448,1073
C4⋊C4⋊D7⋊16C2 = C22⋊Q8⋊25D7φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊D7224C4:C4:D7:16C2448,1077
C4⋊C4⋊D7⋊17C2 = C14.532+ 1+4φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊D7112C4:C4:D7:17C2448,1090
C4⋊C4⋊D7⋊18C2 = C14.202- 1+4φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊D7224C4:C4:D7:18C2448,1091
C4⋊C4⋊D7⋊19C2 = C14.222- 1+4φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊D7224C4:C4:D7:19C2448,1093
C4⋊C4⋊D7⋊20C2 = C14.232- 1+4φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊D7224C4:C4:D7:20C2448,1094
C4⋊C4⋊D7⋊21C2 = C14.772- 1+4φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊D7224C4:C4:D7:21C2448,1095
C4⋊C4⋊D7⋊22C2 = C14.242- 1+4φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊D7224C4:C4:D7:22C2448,1096
C4⋊C4⋊D7⋊23C2 = C14.562+ 1+4φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊D7112C4:C4:D7:23C2448,1097
C4⋊C4⋊D7⋊24C2 = C14.572+ 1+4φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊D7224C4:C4:D7:24C2448,1098
C4⋊C4⋊D7⋊25C2 = C14.582+ 1+4φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊D7224C4:C4:D7:25C2448,1099
C4⋊C4⋊D7⋊26C2 = C4⋊C4.197D14φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊D7224C4:C4:D7:26C2448,1102
C4⋊C4⋊D7⋊27C2 = C14.612+ 1+4φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊D7112C4:C4:D7:27C2448,1110
C4⋊C4⋊D7⋊28C2 = C14.1222+ 1+4φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊D7112C4:C4:D7:28C2448,1111
C4⋊C4⋊D7⋊29C2 = C14.642+ 1+4φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊D7224C4:C4:D7:29C2448,1114
C4⋊C4⋊D7⋊30C2 = C14.842- 1+4φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊D7224C4:C4:D7:30C2448,1115
C4⋊C4⋊D7⋊31C2 = C14.852- 1+4φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊D7224C4:C4:D7:31C2448,1118
C4⋊C4⋊D7⋊32C2 = C14.682+ 1+4φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊D7112C4:C4:D7:32C2448,1119
C4⋊C4⋊D7⋊33C2 = C42.237D14φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊D7224C4:C4:D7:33C2448,1144
C4⋊C4⋊D7⋊34C2 = C42.150D14φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊D7224C4:C4:D7:34C2448,1145
C4⋊C4⋊D7⋊35C2 = C42.151D14φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊D7224C4:C4:D7:35C2448,1146
C4⋊C4⋊D7⋊36C2 = C42.152D14φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊D7224C4:C4:D7:36C2448,1147
C4⋊C4⋊D7⋊37C2 = C42.153D14φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊D7224C4:C4:D7:37C2448,1148
C4⋊C4⋊D7⋊38C2 = C42.157D14φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊D7224C4:C4:D7:38C2448,1152
C4⋊C4⋊D7⋊39C2 = C42.160D14φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊D7224C4:C4:D7:39C2448,1155
C4⋊C4⋊D7⋊40C2 = D7×C42⋊2C2φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊D7112C4:C4:D7:40C2448,1156
C4⋊C4⋊D7⋊41C2 = C42⋊23D14φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊D7112C4:C4:D7:41C2448,1157
C4⋊C4⋊D7⋊42C2 = C42.161D14φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊D7224C4:C4:D7:42C2448,1160
C4⋊C4⋊D7⋊43C2 = C42.163D14φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊D7224C4:C4:D7:43C2448,1162
C4⋊C4⋊D7⋊44C2 = C42.164D14φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊D7224C4:C4:D7:44C2448,1163
C4⋊C4⋊D7⋊45C2 = C42.165D14φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊D7224C4:C4:D7:45C2448,1165
C4⋊C4⋊D7⋊46C2 = C42.177D14φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊D7224C4:C4:D7:46C2448,1185
C4⋊C4⋊D7⋊47C2 = C42.178D14φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊D7224C4:C4:D7:47C2448,1186
C4⋊C4⋊D7⋊48C2 = C42.180D14φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊D7224C4:C4:D7:48C2448,1188
C4⋊C4⋊D7⋊49C2 = C42.93D14φ: trivial image224C4:C4:D7:49C2448,981
C4⋊C4⋊D7⋊50C2 = C42.102D14φ: trivial image224C4:C4:D7:50C2448,991
C4⋊C4⋊D7⋊51C2 = C42.131D14φ: trivial image224C4:C4:D7:51C2448,1033

Non-split extensions G=N.Q with N=C4⋊C4⋊D7 and Q=C2
extensionφ:Q→Out NdρLabelID
C4⋊C4⋊D7.1C2 = C42.134D14φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊D7224C4:C4:D7.1C2448,1036
C4⋊C4⋊D7.2C2 = C42.154D14φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊D7224C4:C4:D7.2C2448,1149
C4⋊C4⋊D7.3C2 = C42.155D14φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊D7224C4:C4:D7.3C2448,1150
C4⋊C4⋊D7.4C2 = C42.176D14φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊D7224C4:C4:D7.4C2448,1184

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