Extensions 1→N→G→Q→1 with N=D6:Q8 and Q=C2

Direct product G=NxQ with N=D6:Q8 and Q=C2
dρLabelID
C2xD6:Q896C2xD6:Q8192,1067

Semidirect products G=N:Q with N=D6:Q8 and Q=C2
extensionφ:Q→Out NdρLabelID
D6:Q8:1C2 = C6.2- 1+4φ: C2/C1C2 ⊆ Out D6:Q896D6:Q8:1C2192,1066
D6:Q8:2C2 = C6.102+ 1+4φ: C2/C1C2 ⊆ Out D6:Q896D6:Q8:2C2192,1070
D6:Q8:3C2 = C6.62- 1+4φ: C2/C1C2 ⊆ Out D6:Q896D6:Q8:3C2192,1074
D6:Q8:4C2 = C42:12D6φ: C2/C1C2 ⊆ Out D6:Q848D6:Q8:4C2192,1086
D6:Q8:5C2 = C42.96D6φ: C2/C1C2 ⊆ Out D6:Q896D6:Q8:5C2192,1090
D6:Q8:6C2 = C42.99D6φ: C2/C1C2 ⊆ Out D6:Q896D6:Q8:6C2192,1093
D6:Q8:7C2 = Dic6:23D4φ: C2/C1C2 ⊆ Out D6:Q896D6:Q8:7C2192,1111
D6:Q8:8C2 = C42:18D6φ: C2/C1C2 ⊆ Out D6:Q848D6:Q8:8C2192,1115
D6:Q8:9C2 = C42.118D6φ: C2/C1C2 ⊆ Out D6:Q896D6:Q8:9C2192,1123
D6:Q8:10C2 = C42.122D6φ: C2/C1C2 ⊆ Out D6:Q896D6:Q8:10C2192,1127
D6:Q8:11C2 = D12:10Q8φ: C2/C1C2 ⊆ Out D6:Q896D6:Q8:11C2192,1138
D6:Q8:12C2 = C42.133D6φ: C2/C1C2 ⊆ Out D6:Q896D6:Q8:12C2192,1141
D6:Q8:13C2 = C6.322+ 1+4φ: C2/C1C2 ⊆ Out D6:Q896D6:Q8:13C2192,1156
D6:Q8:14C2 = C6.402+ 1+4φ: C2/C1C2 ⊆ Out D6:Q848D6:Q8:14C2192,1169
D6:Q8:15C2 = C6.422+ 1+4φ: C2/C1C2 ⊆ Out D6:Q848D6:Q8:15C2192,1172
D6:Q8:16C2 = C6.492+ 1+4φ: C2/C1C2 ⊆ Out D6:Q896D6:Q8:16C2192,1180
D6:Q8:17C2 = S3xC22:Q8φ: C2/C1C2 ⊆ Out D6:Q848D6:Q8:17C2192,1185
D6:Q8:18C2 = C6.172- 1+4φ: C2/C1C2 ⊆ Out D6:Q896D6:Q8:18C2192,1188
D6:Q8:19C2 = Dic6:21D4φ: C2/C1C2 ⊆ Out D6:Q896D6:Q8:19C2192,1191
D6:Q8:20C2 = Dic6:22D4φ: C2/C1C2 ⊆ Out D6:Q896D6:Q8:20C2192,1192
D6:Q8:21C2 = C6.512+ 1+4φ: C2/C1C2 ⊆ Out D6:Q848D6:Q8:21C2192,1193
D6:Q8:22C2 = C6.522+ 1+4φ: C2/C1C2 ⊆ Out D6:Q896D6:Q8:22C2192,1195
D6:Q8:23C2 = C6.222- 1+4φ: C2/C1C2 ⊆ Out D6:Q896D6:Q8:23C2192,1199
D6:Q8:24C2 = C6.252- 1+4φ: C2/C1C2 ⊆ Out D6:Q896D6:Q8:24C2192,1205
D6:Q8:25C2 = C6.592+ 1+4φ: C2/C1C2 ⊆ Out D6:Q896D6:Q8:25C2192,1206
D6:Q8:26C2 = C6.792- 1+4φ: C2/C1C2 ⊆ Out D6:Q896D6:Q8:26C2192,1207
D6:Q8:27C2 = C6.1212+ 1+4φ: C2/C1C2 ⊆ Out D6:Q848D6:Q8:27C2192,1213
D6:Q8:28C2 = C6.822- 1+4φ: C2/C1C2 ⊆ Out D6:Q896D6:Q8:28C2192,1214
D6:Q8:29C2 = C4:C4:28D6φ: C2/C1C2 ⊆ Out D6:Q848D6:Q8:29C2192,1215
D6:Q8:30C2 = C6.622+ 1+4φ: C2/C1C2 ⊆ Out D6:Q848D6:Q8:30C2192,1218
D6:Q8:31C2 = C6.632+ 1+4φ: C2/C1C2 ⊆ Out D6:Q896D6:Q8:31C2192,1219
D6:Q8:32C2 = C6.652+ 1+4φ: C2/C1C2 ⊆ Out D6:Q896D6:Q8:32C2192,1221
D6:Q8:33C2 = C6.692+ 1+4φ: C2/C1C2 ⊆ Out D6:Q896D6:Q8:33C2192,1226
D6:Q8:34C2 = D12:7Q8φ: C2/C1C2 ⊆ Out D6:Q896D6:Q8:34C2192,1249
D6:Q8:35C2 = C42.150D6φ: C2/C1C2 ⊆ Out D6:Q896D6:Q8:35C2192,1251
D6:Q8:36C2 = C42.151D6φ: C2/C1C2 ⊆ Out D6:Q896D6:Q8:36C2192,1252
D6:Q8:37C2 = C42.157D6φ: C2/C1C2 ⊆ Out D6:Q896D6:Q8:37C2192,1258
D6:Q8:38C2 = C42.158D6φ: C2/C1C2 ⊆ Out D6:Q896D6:Q8:38C2192,1259
D6:Q8:39C2 = C42.160D6φ: C2/C1C2 ⊆ Out D6:Q896D6:Q8:39C2192,1261
D6:Q8:40C2 = C42:25D6φ: C2/C1C2 ⊆ Out D6:Q848D6:Q8:40C2192,1263
D6:Q8:41C2 = C42:26D6φ: C2/C1C2 ⊆ Out D6:Q848D6:Q8:41C2192,1264
D6:Q8:42C2 = C42.189D6φ: C2/C1C2 ⊆ Out D6:Q896D6:Q8:42C2192,1265
D6:Q8:43C2 = C42.161D6φ: C2/C1C2 ⊆ Out D6:Q896D6:Q8:43C2192,1266
D6:Q8:44C2 = C42.162D6φ: C2/C1C2 ⊆ Out D6:Q896D6:Q8:44C2192,1267
D6:Q8:45C2 = C42.164D6φ: C2/C1C2 ⊆ Out D6:Q896D6:Q8:45C2192,1269
D6:Q8:46C2 = C42.165D6φ: C2/C1C2 ⊆ Out D6:Q896D6:Q8:46C2192,1271
D6:Q8:47C2 = C42.171D6φ: C2/C1C2 ⊆ Out D6:Q896D6:Q8:47C2192,1283
D6:Q8:48C2 = D12:8Q8φ: C2/C1C2 ⊆ Out D6:Q896D6:Q8:48C2192,1286
D6:Q8:49C2 = C42.180D6φ: C2/C1C2 ⊆ Out D6:Q896D6:Q8:49C2192,1294
D6:Q8:50C2 = C42.93D6φ: trivial image96D6:Q8:50C2192,1087
D6:Q8:51C2 = C42:14D6φ: trivial image48D6:Q8:51C2192,1106

Non-split extensions G=N.Q with N=D6:Q8 and Q=C2
extensionφ:Q→Out NdρLabelID
D6:Q8.1C2 = C42.236D6φ: C2/C1C2 ⊆ Out D6:Q896D6:Q8.1C2192,1247
D6:Q8.2C2 = C42.148D6φ: C2/C1C2 ⊆ Out D6:Q896D6:Q8.2C2192,1248
D6:Q8.3C2 = C42.154D6φ: C2/C1C2 ⊆ Out D6:Q896D6:Q8.3C2192,1255
D6:Q8.4C2 = C42.174D6φ: C2/C1C2 ⊆ Out D6:Q896D6:Q8.4C2192,1288
D6:Q8.5C2 = C42.232D6φ: trivial image96D6:Q8.5C2192,1137

׿
x
:
Z
F
o
wr
Q
<