Extensions 1→N→G→Q→1 with N=C20.6Q8 and Q=C2

Direct product G=N×Q with N=C20.6Q8 and Q=C2
dρLabelID
C2×C20.6Q8320C2xC20.6Q8320,1141

Semidirect products G=N:Q with N=C20.6Q8 and Q=C2
extensionφ:Q→Out NdρLabelID
C20.6Q81C2 = C42.264D10φ: C2/C1C2 ⊆ Out C20.6Q8160C20.6Q8:1C2320,324
C20.6Q82C2 = C42.19D10φ: C2/C1C2 ⊆ Out C20.6Q8160C20.6Q8:2C2320,340
C20.6Q83C2 = C42.89D10φ: C2/C1C2 ⊆ Out C20.6Q8160C20.6Q8:3C2320,1190
C20.6Q84C2 = C42.90D10φ: C2/C1C2 ⊆ Out C20.6Q8160C20.6Q8:4C2320,1191
C20.6Q85C2 = C42.100D10φ: C2/C1C2 ⊆ Out C20.6Q8160C20.6Q8:5C2320,1207
C20.6Q86C2 = C42.94D10φ: C2/C1C2 ⊆ Out C20.6Q8160C20.6Q8:6C2320,1201
C20.6Q87C2 = C42.96D10φ: C2/C1C2 ⊆ Out C20.6Q8160C20.6Q8:7C2320,1203
C20.6Q88C2 = C42.159D10φ: C2/C1C2 ⊆ Out C20.6Q8160C20.6Q8:8C2320,1373
C20.6Q89C2 = C42.161D10φ: C2/C1C2 ⊆ Out C20.6Q8160C20.6Q8:9C2320,1379
C20.6Q810C2 = D20.3Q8φ: C2/C1C2 ⊆ Out C20.6Q8160C20.6Q8:10C2320,474
C20.6Q811C2 = D4.3Dic10φ: C2/C1C2 ⊆ Out C20.6Q8160C20.6Q8:11C2320,636
C20.6Q812C2 = C42.213D10φ: C2/C1C2 ⊆ Out C20.6Q8160C20.6Q8:12C2320,683
C20.6Q813C2 = C42.72D10φ: C2/C1C2 ⊆ Out C20.6Q8160C20.6Q8:13C2320,698
C20.6Q814C2 = D45Dic10φ: C2/C1C2 ⊆ Out C20.6Q8160C20.6Q8:14C2320,1211
C20.6Q815C2 = C42.105D10φ: C2/C1C2 ⊆ Out C20.6Q8160C20.6Q8:15C2320,1213
C20.6Q816C2 = C42.113D10φ: C2/C1C2 ⊆ Out C20.6Q8160C20.6Q8:16C2320,1230
C20.6Q817C2 = C42.119D10φ: C2/C1C2 ⊆ Out C20.6Q8160C20.6Q8:17C2320,1237
C20.6Q818C2 = D2010Q8φ: C2/C1C2 ⊆ Out C20.6Q8160C20.6Q8:18C2320,1251
C20.6Q819C2 = C42.132D10φ: C2/C1C2 ⊆ Out C20.6Q8160C20.6Q8:19C2320,1253
C20.6Q820C2 = C42.234D10φ: C2/C1C2 ⊆ Out C20.6Q8160C20.6Q8:20C2320,1352
C20.6Q821C2 = D5×C42.C2φ: C2/C1C2 ⊆ Out C20.6Q8160C20.6Q8:21C2320,1359
C20.6Q822C2 = C42.236D10φ: C2/C1C2 ⊆ Out C20.6Q8160C20.6Q8:22C2320,1360
C20.6Q823C2 = C42.168D10φ: C2/C1C2 ⊆ Out C20.6Q8160C20.6Q8:23C2320,1391
C20.6Q824C2 = C42.174D10φ: C2/C1C2 ⊆ Out C20.6Q8160C20.6Q8:24C2320,1401
C20.6Q825C2 = C42.176D10φ: C2/C1C2 ⊆ Out C20.6Q8160C20.6Q8:25C2320,1403
C20.6Q826C2 = C42.118D10φ: C2/C1C2 ⊆ Out C20.6Q8160C20.6Q8:26C2320,1236
C20.6Q827C2 = C42.134D10φ: C2/C1C2 ⊆ Out C20.6Q8160C20.6Q8:27C2320,1255
C20.6Q828C2 = C42.140D10φ: C2/C1C2 ⊆ Out C20.6Q8160C20.6Q8:28C2320,1344
C20.6Q829C2 = C42.145D10φ: C2/C1C2 ⊆ Out C20.6Q8160C20.6Q8:29C2320,1356
C20.6Q830C2 = C42.157D10φ: C2/C1C2 ⊆ Out C20.6Q8160C20.6Q8:30C2320,1371
C20.6Q831C2 = C42.274D10φ: trivial image160C20.6Q8:31C2320,1142
C20.6Q832C2 = C42.277D10φ: trivial image160C20.6Q8:32C2320,1151

Non-split extensions G=N.Q with N=C20.6Q8 and Q=C2
extensionφ:Q→Out NdρLabelID
C20.6Q8.1C2 = C40.13Q8φ: C2/C1C2 ⊆ Out C20.6Q8320C20.6Q8.1C2320,310
C20.6Q8.2C2 = C8⋊Dic10φ: C2/C1C2 ⊆ Out C20.6Q8320C20.6Q8.2C2320,329
C20.6Q8.3C2 = C42.14D10φ: C2/C1C2 ⊆ Out C20.6Q8320C20.6Q8.3C2320,330
C20.6Q8.4C2 = C42.2D10φ: C2/C1C2 ⊆ Out C20.6Q8320C20.6Q8.4C2320,23
C20.6Q8.5C2 = Dic10.3Q8φ: C2/C1C2 ⊆ Out C20.6Q8320C20.6Q8.5C2320,456
C20.6Q8.6C2 = Q8.3Dic10φ: C2/C1C2 ⊆ Out C20.6Q8320C20.6Q8.6C2320,649
C20.6Q8.7C2 = C42.215D10φ: C2/C1C2 ⊆ Out C20.6Q8320C20.6Q8.7C2320,691
C20.6Q8.8C2 = C42.76D10φ: C2/C1C2 ⊆ Out C20.6Q8320C20.6Q8.8C2320,707
C20.6Q8.9C2 = C42.77D10φ: C2/C1C2 ⊆ Out C20.6Q8320C20.6Q8.9C2320,709
C20.6Q8.10C2 = Dic1010Q8φ: C2/C1C2 ⊆ Out C20.6Q8320C20.6Q8.10C2320,1239
C20.6Q8.11C2 = Q85Dic10φ: C2/C1C2 ⊆ Out C20.6Q8320C20.6Q8.11C2320,1241
C20.6Q8.12C2 = C42.147D10φ: C2/C1C2 ⊆ Out C20.6Q8320C20.6Q8.12C2320,1358

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