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

Direct product G=N×Q with N=C20⋊Q8 and Q=C2
dρLabelID
C2×C20⋊Q8320C2xC20:Q8320,1169

Semidirect products G=N:Q with N=C20⋊Q8 and Q=C2
extensionφ:Q→Out NdρLabelID
C20⋊Q81C2 = Dic5.14D8φ: C2/C1C2 ⊆ Out C20⋊Q8160C20:Q8:1C2320,386
C20⋊Q82C2 = Dic5.5D8φ: C2/C1C2 ⊆ Out C20⋊Q8160C20:Q8:2C2320,387
C20⋊Q83C2 = D4⋊Dic10φ: C2/C1C2 ⊆ Out C20⋊Q8160C20:Q8:3C2320,388
C20⋊Q84C2 = C20⋊Q8⋊C2φ: C2/C1C2 ⊆ Out C20⋊Q8160C20:Q8:4C2320,392
C20⋊Q85C2 = Q8⋊C4⋊D5φ: C2/C1C2 ⊆ Out C20⋊Q8160C20:Q8:5C2320,422
C20⋊Q86C2 = D20⋊Q8φ: C2/C1C2 ⊆ Out C20⋊Q8160C20:Q8:6C2320,497
C20⋊Q87C2 = D202Q8φ: C2/C1C2 ⊆ Out C20⋊Q8160C20:Q8:7C2320,517
C20⋊Q88C2 = C10.12- 1+4φ: C2/C1C2 ⊆ Out C20⋊Q8160C20:Q8:8C2320,1172
C20⋊Q89C2 = C10.2- 1+4φ: C2/C1C2 ⊆ Out C20⋊Q8160C20:Q8:9C2320,1179
C20⋊Q810C2 = C10.102+ 1+4φ: C2/C1C2 ⊆ Out C20⋊Q8160C20:Q8:10C2320,1183
C20⋊Q811C2 = C42.90D10φ: C2/C1C2 ⊆ Out C20⋊Q8160C20:Q8:11C2320,1191
C20⋊Q812C2 = C42.97D10φ: C2/C1C2 ⊆ Out C20⋊Q8160C20:Q8:12C2320,1204
C20⋊Q813C2 = C42.98D10φ: C2/C1C2 ⊆ Out C20⋊Q8160C20:Q8:13C2320,1205
C20⋊Q814C2 = D4×Dic10φ: C2/C1C2 ⊆ Out C20⋊Q8160C20:Q8:14C2320,1209
C20⋊Q815C2 = D45Dic10φ: C2/C1C2 ⊆ Out C20⋊Q8160C20:Q8:15C2320,1211
C20⋊Q816C2 = C42.115D10φ: C2/C1C2 ⊆ Out C20⋊Q8160C20:Q8:16C2320,1233
C20⋊Q817C2 = C42.133D10φ: C2/C1C2 ⊆ Out C20⋊Q8160C20:Q8:17C2320,1254
C20⋊Q818C2 = C20⋊(C4○D4)φ: C2/C1C2 ⊆ Out C20⋊Q8160C20:Q8:18C2320,1268
C20⋊Q819C2 = C10.362+ 1+4φ: C2/C1C2 ⊆ Out C20⋊Q8160C20:Q8:19C2320,1275
C20⋊Q820C2 = C10.732- 1+4φ: C2/C1C2 ⊆ Out C20⋊Q8160C20:Q8:20C2320,1283
C20⋊Q821C2 = C10.452+ 1+4φ: C2/C1C2 ⊆ Out C20⋊Q8160C20:Q8:21C2320,1288
C20⋊Q822C2 = (Q8×Dic5)⋊C2φ: C2/C1C2 ⊆ Out C20⋊Q8160C20:Q8:22C2320,1294
C20⋊Q823C2 = C10.502+ 1+4φ: C2/C1C2 ⊆ Out C20⋊Q8160C20:Q8:23C2320,1295
C20⋊Q824C2 = C10.162- 1+4φ: C2/C1C2 ⊆ Out C20⋊Q8160C20:Q8:24C2320,1300
C20⋊Q825C2 = Dic1021D4φ: C2/C1C2 ⊆ Out C20⋊Q8160C20:Q8:25C2320,1304
C20⋊Q826C2 = C10.1182+ 1+4φ: C2/C1C2 ⊆ Out C20⋊Q8160C20:Q8:26C2320,1307
C20⋊Q827C2 = C10.232- 1+4φ: C2/C1C2 ⊆ Out C20⋊Q8160C20:Q8:27C2320,1313
C20⋊Q828C2 = C10.242- 1+4φ: C2/C1C2 ⊆ Out C20⋊Q8160C20:Q8:28C2320,1315
C20⋊Q829C2 = C10.582+ 1+4φ: C2/C1C2 ⊆ Out C20⋊Q8160C20:Q8:29C2320,1318
C20⋊Q830C2 = C10.792- 1+4φ: C2/C1C2 ⊆ Out C20⋊Q8160C20:Q8:30C2320,1320
C20⋊Q831C2 = C10.812- 1+4φ: C2/C1C2 ⊆ Out C20⋊Q8160C20:Q8:31C2320,1323
C20⋊Q832C2 = C10.822- 1+4φ: C2/C1C2 ⊆ Out C20⋊Q8160C20:Q8:32C2320,1327
C20⋊Q833C2 = C10.842- 1+4φ: C2/C1C2 ⊆ Out C20⋊Q8160C20:Q8:33C2320,1334
C20⋊Q834C2 = C42.236D10φ: C2/C1C2 ⊆ Out C20⋊Q8160C20:Q8:34C2320,1360
C20⋊Q835C2 = C42.148D10φ: C2/C1C2 ⊆ Out C20⋊Q8160C20:Q8:35C2320,1361
C20⋊Q836C2 = D207Q8φ: C2/C1C2 ⊆ Out C20⋊Q8160C20:Q8:36C2320,1362
C20⋊Q837C2 = C42.154D10φ: C2/C1C2 ⊆ Out C20⋊Q8160C20:Q8:37C2320,1368
C20⋊Q838C2 = C42.157D10φ: C2/C1C2 ⊆ Out C20⋊Q8160C20:Q8:38C2320,1371
C20⋊Q839C2 = C42.159D10φ: C2/C1C2 ⊆ Out C20⋊Q8160C20:Q8:39C2320,1373
C20⋊Q840C2 = C42.160D10φ: C2/C1C2 ⊆ Out C20⋊Q8160C20:Q8:40C2320,1374
C20⋊Q841C2 = C42.164D10φ: C2/C1C2 ⊆ Out C20⋊Q8160C20:Q8:41C2320,1382
C20⋊Q842C2 = C42.165D10φ: C2/C1C2 ⊆ Out C20⋊Q8160C20:Q8:42C2320,1384
C20⋊Q843C2 = D5×C4⋊Q8φ: C2/C1C2 ⊆ Out C20⋊Q8160C20:Q8:43C2320,1395
C20⋊Q844C2 = D208Q8φ: C2/C1C2 ⊆ Out C20⋊Q8160C20:Q8:44C2320,1399
C20⋊Q845C2 = C42.174D10φ: C2/C1C2 ⊆ Out C20⋊Q8160C20:Q8:45C2320,1401
C20⋊Q846C2 = C42.88D10φ: trivial image160C20:Q8:46C2320,1189
C20⋊Q847C2 = C42.228D10φ: trivial image160C20:Q8:47C2320,1220
C20⋊Q848C2 = C42.232D10φ: trivial image160C20:Q8:48C2320,1250

Non-split extensions G=N.Q with N=C20⋊Q8 and Q=C2
extensionφ:Q→Out NdρLabelID
C20⋊Q8.1C2 = Dic5.D8φ: C2/C1C2 ⊆ Out C20⋊Q8320C20:Q8.1C2320,211
C20⋊Q8.2C2 = Q8⋊Dic10φ: C2/C1C2 ⊆ Out C20⋊Q8320C20:Q8.2C2320,418
C20⋊Q8.3C2 = Dic5.3Q16φ: C2/C1C2 ⊆ Out C20⋊Q8320C20:Q8.3C2320,419
C20⋊Q8.4C2 = Dic5.9Q16φ: C2/C1C2 ⊆ Out C20⋊Q8320C20:Q8.4C2320,421
C20⋊Q8.5C2 = Dic10⋊Q8φ: C2/C1C2 ⊆ Out C20⋊Q8320C20:Q8.5C2320,481
C20⋊Q8.6C2 = C405Q8φ: C2/C1C2 ⊆ Out C20⋊Q8320C20:Q8.6C2320,482
C20⋊Q8.7C2 = C403Q8φ: C2/C1C2 ⊆ Out C20⋊Q8320C20:Q8.7C2320,483
C20⋊Q8.8C2 = C402Q8φ: C2/C1C2 ⊆ Out C20⋊Q8320C20:Q8.8C2320,501
C20⋊Q8.9C2 = Dic102Q8φ: C2/C1C2 ⊆ Out C20⋊Q8320C20:Q8.9C2320,502
C20⋊Q8.10C2 = C404Q8φ: C2/C1C2 ⊆ Out C20⋊Q8320C20:Q8.10C2320,503
C20⋊Q8.11C2 = Q8×Dic10φ: C2/C1C2 ⊆ Out C20⋊Q8320C20:Q8.11C2320,1238
C20⋊Q8.12C2 = Q85Dic10φ: C2/C1C2 ⊆ Out C20⋊Q8320C20:Q8.12C2320,1241
C20⋊Q8.13C2 = Dic107Q8φ: C2/C1C2 ⊆ Out C20⋊Q8320C20:Q8.13C2320,1357
C20⋊Q8.14C2 = Dic109Q8φ: C2/C1C2 ⊆ Out C20⋊Q8320C20:Q8.14C2320,1394

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