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

Direct product G=NxQ with N=Dic7.Q8 and Q=C2
dρLabelID
C2xDic7.Q8448C2xDic7.Q8448,951

Semidirect products G=N:Q with N=Dic7.Q8 and Q=C2
extensionφ:Q→Out NdρLabelID
Dic7.Q8:1C2 = C14.102+ 1+4φ: C2/C1C2 ⊆ Out Dic7.Q8224Dic7.Q8:1C2448,964
Dic7.Q8:2C2 = C14.52- 1+4φ: C2/C1C2 ⊆ Out Dic7.Q8224Dic7.Q8:2C2448,966
Dic7.Q8:3C2 = C14.62- 1+4φ: C2/C1C2 ⊆ Out Dic7.Q8224Dic7.Q8:3C2448,968
Dic7.Q8:4C2 = C42.89D14φ: C2/C1C2 ⊆ Out Dic7.Q8224Dic7.Q8:4C2448,971
Dic7.Q8:5C2 = C42.96D14φ: C2/C1C2 ⊆ Out Dic7.Q8224Dic7.Q8:5C2448,984
Dic7.Q8:6C2 = C42.104D14φ: C2/C1C2 ⊆ Out Dic7.Q8224Dic7.Q8:6C2448,993
Dic7.Q8:7C2 = C42.105D14φ: C2/C1C2 ⊆ Out Dic7.Q8224Dic7.Q8:7C2448,994
Dic7.Q8:8C2 = C42.118D14φ: C2/C1C2 ⊆ Out Dic7.Q8224Dic7.Q8:8C2448,1017
Dic7.Q8:9C2 = C42.132D14φ: C2/C1C2 ⊆ Out Dic7.Q8224Dic7.Q8:9C2448,1034
Dic7.Q8:10C2 = C42.134D14φ: C2/C1C2 ⊆ Out Dic7.Q8224Dic7.Q8:10C2448,1036
Dic7.Q8:11C2 = C14.342+ 1+4φ: C2/C1C2 ⊆ Out Dic7.Q8224Dic7.Q8:11C2448,1054
Dic7.Q8:12C2 = C14.352+ 1+4φ: C2/C1C2 ⊆ Out Dic7.Q8224Dic7.Q8:12C2448,1055
Dic7.Q8:13C2 = C14.442+ 1+4φ: C2/C1C2 ⊆ Out Dic7.Q8224Dic7.Q8:13C2448,1068
Dic7.Q8:14C2 = C14.492+ 1+4φ: C2/C1C2 ⊆ Out Dic7.Q8224Dic7.Q8:14C2448,1074
Dic7.Q8:15C2 = (Q8xDic7):C2φ: C2/C1C2 ⊆ Out Dic7.Q8224Dic7.Q8:15C2448,1075
Dic7.Q8:16C2 = C14.752- 1+4φ: C2/C1C2 ⊆ Out Dic7.Q8224Dic7.Q8:16C2448,1076
Dic7.Q8:17C2 = C14.152- 1+4φ: C2/C1C2 ⊆ Out Dic7.Q8224Dic7.Q8:17C2448,1078
Dic7.Q8:18C2 = C14.1182+ 1+4φ: C2/C1C2 ⊆ Out Dic7.Q8224Dic7.Q8:18C2448,1088
Dic7.Q8:19C2 = C14.522+ 1+4φ: C2/C1C2 ⊆ Out Dic7.Q8224Dic7.Q8:19C2448,1089
Dic7.Q8:20C2 = C14.202- 1+4φ: C2/C1C2 ⊆ Out Dic7.Q8224Dic7.Q8:20C2448,1091
Dic7.Q8:21C2 = C14.212- 1+4φ: C2/C1C2 ⊆ Out Dic7.Q8224Dic7.Q8:21C2448,1092
Dic7.Q8:22C2 = C14.582+ 1+4φ: C2/C1C2 ⊆ Out Dic7.Q8224Dic7.Q8:22C2448,1099
Dic7.Q8:23C2 = C14.262- 1+4φ: C2/C1C2 ⊆ Out Dic7.Q8224Dic7.Q8:23C2448,1100
Dic7.Q8:24C2 = C4:C4.197D14φ: C2/C1C2 ⊆ Out Dic7.Q8224Dic7.Q8:24C2448,1102
Dic7.Q8:25C2 = C14.802- 1+4φ: C2/C1C2 ⊆ Out Dic7.Q8224Dic7.Q8:25C2448,1103
Dic7.Q8:26C2 = C14.602+ 1+4φ: C2/C1C2 ⊆ Out Dic7.Q8224Dic7.Q8:26C2448,1104
Dic7.Q8:27C2 = C14.832- 1+4φ: C2/C1C2 ⊆ Out Dic7.Q8224Dic7.Q8:27C2448,1113
Dic7.Q8:28C2 = C14.642+ 1+4φ: C2/C1C2 ⊆ Out Dic7.Q8224Dic7.Q8:28C2448,1114
Dic7.Q8:29C2 = C14.662+ 1+4φ: C2/C1C2 ⊆ Out Dic7.Q8224Dic7.Q8:29C2448,1116
Dic7.Q8:30C2 = C14.852- 1+4φ: C2/C1C2 ⊆ Out Dic7.Q8224Dic7.Q8:30C2448,1118
Dic7.Q8:31C2 = D7xC42.C2φ: C2/C1C2 ⊆ Out Dic7.Q8224Dic7.Q8:31C2448,1140
Dic7.Q8:32C2 = C42.148D14φ: C2/C1C2 ⊆ Out Dic7.Q8224Dic7.Q8:32C2448,1142
Dic7.Q8:33C2 = C42.150D14φ: C2/C1C2 ⊆ Out Dic7.Q8224Dic7.Q8:33C2448,1145
Dic7.Q8:34C2 = C42.151D14φ: C2/C1C2 ⊆ Out Dic7.Q8224Dic7.Q8:34C2448,1146
Dic7.Q8:35C2 = C42.154D14φ: C2/C1C2 ⊆ Out Dic7.Q8224Dic7.Q8:35C2448,1149
Dic7.Q8:36C2 = C42.159D14φ: C2/C1C2 ⊆ Out Dic7.Q8224Dic7.Q8:36C2448,1154
Dic7.Q8:37C2 = C42.189D14φ: C2/C1C2 ⊆ Out Dic7.Q8224Dic7.Q8:37C2448,1159
Dic7.Q8:38C2 = C42.162D14φ: C2/C1C2 ⊆ Out Dic7.Q8224Dic7.Q8:38C2448,1161
Dic7.Q8:39C2 = C42.163D14φ: C2/C1C2 ⊆ Out Dic7.Q8224Dic7.Q8:39C2448,1162
Dic7.Q8:40C2 = C42.165D14φ: C2/C1C2 ⊆ Out Dic7.Q8224Dic7.Q8:40C2448,1165
Dic7.Q8:41C2 = C42.174D14φ: C2/C1C2 ⊆ Out Dic7.Q8224Dic7.Q8:41C2448,1182
Dic7.Q8:42C2 = C42.176D14φ: C2/C1C2 ⊆ Out Dic7.Q8224Dic7.Q8:42C2448,1184
Dic7.Q8:43C2 = C42.180D14φ: C2/C1C2 ⊆ Out Dic7.Q8224Dic7.Q8:43C2448,1188
Dic7.Q8:44C2 = C42.93D14φ: trivial image224Dic7.Q8:44C2448,981
Dic7.Q8:45C2 = C42.102D14φ: trivial image224Dic7.Q8:45C2448,991
Dic7.Q8:46C2 = C42.232D14φ: trivial image224Dic7.Q8:46C2448,1031

Non-split extensions G=N.Q with N=Dic7.Q8 and Q=C2
extensionφ:Q→Out NdρLabelID
Dic7.Q8.1C2 = Dic14:10Q8φ: C2/C1C2 ⊆ Out Dic7.Q8448Dic7.Q8.1C2448,1020
Dic7.Q8.2C2 = Dic14:7Q8φ: C2/C1C2 ⊆ Out Dic7.Q8448Dic7.Q8.2C2448,1138
Dic7.Q8.3C2 = C42.147D14φ: C2/C1C2 ⊆ Out Dic7.Q8448Dic7.Q8.3C2448,1139
Dic7.Q8.4C2 = Dic14:8Q8φ: C2/C1C2 ⊆ Out Dic7.Q8448Dic7.Q8.4C2448,1174

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