Extensions 1→N→G→Q→1 with N=D14⋊D4 and Q=C2

Direct product G=N×Q with N=D14⋊D4 and Q=C2
dρLabelID
C2×D14⋊D4224C2xD14:D4448,942

Semidirect products G=N:Q with N=D14⋊D4 and Q=C2
extensionφ:Q→Out NdρLabelID
D14⋊D4⋊1C2 = C24.27D14φ: C2/C1 → C2 ⊆ Out D14⋊D4112D14:D4:1C2448,943
D14⋊D4⋊2C2 = C24.30D14φ: C2/C1 → C2 ⊆ Out D14⋊D4112D14:D4:2C2448,947
D14⋊D4⋊3C2 = C42.95D14φ: C2/C1 → C2 ⊆ Out D14⋊D4224D14:D4:3C2448,983
D14⋊D4⋊4C2 = C42.97D14φ: C2/C1 → C2 ⊆ Out D14⋊D4224D14:D4:4C2448,985
D14⋊D4⋊5C2 = C42.100D14φ: C2/C1 → C2 ⊆ Out D14⋊D4224D14:D4:5C2448,988
D14⋊D4⋊6C2 = C42.104D14φ: C2/C1 → C2 ⊆ Out D14⋊D4224D14:D4:6C2448,993
D14⋊D4⋊7C2 = D28⋊23D4φ: C2/C1 → C2 ⊆ Out D14⋊D4112D14:D4:7C2448,1003
D14⋊D4⋊8C2 = Dic14⋊24D4φ: C2/C1 → C2 ⊆ Out D14⋊D4224D14:D4:8C2448,1006
D14⋊D4⋊9C2 = C42.113D14φ: C2/C1 → C2 ⊆ Out D14⋊D4224D14:D4:9C2448,1011
D14⋊D4⋊10C2 = C42⋊17D14φ: C2/C1 → C2 ⊆ Out D14⋊D4112D14:D4:10C2448,1013
D14⋊D4⋊11C2 = C42.116D14φ: C2/C1 → C2 ⊆ Out D14⋊D4224D14:D4:11C2448,1015
D14⋊D4⋊12C2 = C24⋊2D14φ: C2/C1 → C2 ⊆ Out D14⋊D4112D14:D4:12C2448,1042
D14⋊D4⋊13C2 = C24⋊3D14φ: C2/C1 → C2 ⊆ Out D14⋊D4112D14:D4:13C2448,1043
D14⋊D4⋊14C2 = C24.34D14φ: C2/C1 → C2 ⊆ Out D14⋊D4112D14:D4:14C2448,1045
D14⋊D4⋊15C2 = C24.36D14φ: C2/C1 → C2 ⊆ Out D14⋊D4112D14:D4:15C2448,1048
D14⋊D4⋊16C2 = C14.682- 1+4φ: C2/C1 → C2 ⊆ Out D14⋊D4224D14:D4:16C2448,1050
D14⋊D4⋊17C2 = Dic14⋊20D4φ: C2/C1 → C2 ⊆ Out D14⋊D4224D14:D4:17C2448,1052
D14⋊D4⋊18C2 = D7×C4⋊D4φ: C2/C1 → C2 ⊆ Out D14⋊D4112D14:D4:18C2448,1057
D14⋊D4⋊19C2 = C14.722- 1+4φ: C2/C1 → C2 ⊆ Out D14⋊D4224D14:D4:19C2448,1061
D14⋊D4⋊20C2 = D28⋊19D4φ: C2/C1 → C2 ⊆ Out D14⋊D4112D14:D4:20C2448,1062
D14⋊D4⋊21C2 = C14.402+ 1+4φ: C2/C1 → C2 ⊆ Out D14⋊D4112D14:D4:21C2448,1063
D14⋊D4⋊22C2 = C14.442+ 1+4φ: C2/C1 → C2 ⊆ Out D14⋊D4224D14:D4:22C2448,1068
D14⋊D4⋊23C2 = C14.482+ 1+4φ: C2/C1 → C2 ⊆ Out D14⋊D4112D14:D4:23C2448,1073
D14⋊D4⋊24C2 = C14.172- 1+4φ: C2/C1 → C2 ⊆ Out D14⋊D4224D14:D4:24C2448,1082
D14⋊D4⋊25C2 = D28⋊22D4φ: C2/C1 → C2 ⊆ Out D14⋊D4224D14:D4:25C2448,1084
D14⋊D4⋊26C2 = Dic14⋊22D4φ: C2/C1 → C2 ⊆ Out D14⋊D4224D14:D4:26C2448,1086
D14⋊D4⋊27C2 = C14.262- 1+4φ: C2/C1 → C2 ⊆ Out D14⋊D4224D14:D4:27C2448,1100
D14⋊D4⋊28C2 = C14.1202+ 1+4φ: C2/C1 → C2 ⊆ Out D14⋊D4112D14:D4:28C2448,1106
D14⋊D4⋊29C2 = C14.1212+ 1+4φ: C2/C1 → C2 ⊆ Out D14⋊D4112D14:D4:29C2448,1107
D14⋊D4⋊30C2 = C14.822- 1+4φ: C2/C1 → C2 ⊆ Out D14⋊D4224D14:D4:30C2448,1108
D14⋊D4⋊31C2 = C4⋊C4⋊28D14φ: C2/C1 → C2 ⊆ Out D14⋊D4112D14:D4:31C2448,1109
D14⋊D4⋊32C2 = C14.612+ 1+4φ: C2/C1 → C2 ⊆ Out D14⋊D4112D14:D4:32C2448,1110
D14⋊D4⋊33C2 = C14.642+ 1+4φ: C2/C1 → C2 ⊆ Out D14⋊D4224D14:D4:33C2448,1114
D14⋊D4⋊34C2 = C14.662+ 1+4φ: C2/C1 → C2 ⊆ Out D14⋊D4224D14:D4:34C2448,1116
D14⋊D4⋊35C2 = C14.682+ 1+4φ: C2/C1 → C2 ⊆ Out D14⋊D4112D14:D4:35C2448,1119
D14⋊D4⋊36C2 = C14.862- 1+4φ: C2/C1 → C2 ⊆ Out D14⋊D4224D14:D4:36C2448,1120
D14⋊D4⋊37C2 = C42.233D14φ: C2/C1 → C2 ⊆ Out D14⋊D4224D14:D4:37C2448,1121
D14⋊D4⋊38C2 = C42.138D14φ: C2/C1 → C2 ⊆ Out D14⋊D4224D14:D4:38C2448,1123
D14⋊D4⋊39C2 = C42⋊18D14φ: C2/C1 → C2 ⊆ Out D14⋊D4112D14:D4:39C2448,1127
D14⋊D4⋊40C2 = D28⋊10D4φ: C2/C1 → C2 ⊆ Out D14⋊D4112D14:D4:40C2448,1129
D14⋊D4⋊41C2 = Dic14⋊10D4φ: C2/C1 → C2 ⊆ Out D14⋊D4224D14:D4:41C2448,1130
D14⋊D4⋊42C2 = C42⋊20D14φ: C2/C1 → C2 ⊆ Out D14⋊D4112D14:D4:42C2448,1131
D14⋊D4⋊43C2 = C42.145D14φ: C2/C1 → C2 ⊆ Out D14⋊D4224D14:D4:43C2448,1137
D14⋊D4⋊44C2 = C42⋊23D14φ: C2/C1 → C2 ⊆ Out D14⋊D4112D14:D4:44C2448,1157
D14⋊D4⋊45C2 = C42.163D14φ: C2/C1 → C2 ⊆ Out D14⋊D4224D14:D4:45C2448,1162
D14⋊D4⋊46C2 = C42⋊25D14φ: C2/C1 → C2 ⊆ Out D14⋊D4112D14:D4:46C2448,1164
D14⋊D4⋊47C2 = C42⋊12D14φ: trivial image112D14:D4:47C2448,1000
D14⋊D4⋊48C2 = C42.228D14φ: trivial image224D14:D4:48C2448,1001

Non-split extensions G=N.Q with N=D14⋊D4 and Q=C2
extensionφ:Q→Out NdρLabelID
D14⋊D4.1C2 = C14.202- 1+4φ: C2/C1 → C2 ⊆ Out D14⋊D4224D14:D4.1C2448,1091
D14⋊D4.2C2 = C14.222- 1+4φ: C2/C1 → C2 ⊆ Out D14⋊D4224D14:D4.2C2448,1093
D14⋊D4.3C2 = C42.189D14φ: C2/C1 → C2 ⊆ Out D14⋊D4224D14:D4.3C2448,1159
D14⋊D4.4C2 = C42.161D14φ: C2/C1 → C2 ⊆ Out D14⋊D4224D14:D4.4C2448,1160
D14⋊D4.5C2 = C42.164D14φ: C2/C1 → C2 ⊆ Out D14⋊D4224D14:D4.5C2448,1163
D14⋊D4.6C2 = C42.93D14φ: trivial image224D14:D4.6C2448,981

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