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Extensions 1→N→G→Q→1 with N=C4.D20 and Q=C2

Direct product G=N×Q with N=C4.D20 and Q=C2
dρLabelID
C2×C4.D20160C2xC4.D20320,1148

Semidirect products G=N:Q with N=C4.D20 and Q=C2
extensionφ:Q→Out NdρLabelID
C4.D20⋊1C2 = C8.8D20φ: C2/C1 → C2 ⊆ Out C4.D20160C4.D20:1C2320,323
C4.D20⋊2C2 = C8⋊D20φ: C2/C1 → C2 ⊆ Out C4.D20160C4.D20:2C2320,339
C4.D20⋊3C2 = C42⋊9D10φ: C2/C1 → C2 ⊆ Out C4.D2080C4.D20:3C2320,1197
C4.D20⋊4C2 = C42.92D10φ: C2/C1 → C2 ⊆ Out C4.D20160C4.D20:4C2320,1198
C4.D20⋊5C2 = C42.99D10φ: C2/C1 → C2 ⊆ Out C4.D20160C4.D20:5C2320,1206
C4.D20⋊6C2 = C42⋊10D10φ: C2/C1 → C2 ⊆ Out C4.D2080C4.D20:6C2320,1199
C4.D20⋊7C2 = C42.97D10φ: C2/C1 → C2 ⊆ Out C4.D20160C4.D20:7C2320,1204
C4.D20⋊8C2 = C42⋊23D10φ: C2/C1 → C2 ⊆ Out C4.D2080C4.D20:8C2320,1376
C4.D20⋊9C2 = C42.164D10φ: C2/C1 → C2 ⊆ Out C4.D20160C4.D20:9C2320,1382
C4.D20⋊10C2 = M4(2)⋊D10φ: C2/C1 → C2 ⊆ Out C4.D20804C4.D20:10C2320,452
C4.D20⋊11C2 = D4.10D20φ: C2/C1 → C2 ⊆ Out C4.D20804C4.D20:11C2320,454
C4.D20⋊12C2 = D20.19D4φ: C2/C1 → C2 ⊆ Out C4.D20160C4.D20:12C2320,471
C4.D20⋊13C2 = D4.1D20φ: C2/C1 → C2 ⊆ Out C4.D20160C4.D20:13C2320,643
C4.D20⋊14C2 = C42.214D10φ: C2/C1 → C2 ⊆ Out C4.D20160C4.D20:14C2320,686
C4.D20⋊15C2 = C42.74D10φ: C2/C1 → C2 ⊆ Out C4.D20160C4.D20:15C2320,701
C4.D20⋊16C2 = D20⋊23D4φ: C2/C1 → C2 ⊆ Out C4.D2080C4.D20:16C2320,1222
C4.D20⋊17C2 = Dic10⋊23D4φ: C2/C1 → C2 ⊆ Out C4.D20160C4.D20:17C2320,1224
C4.D20⋊18C2 = D4⋊5D20φ: C2/C1 → C2 ⊆ Out C4.D2080C4.D20:18C2320,1226
C4.D20⋊19C2 = C42.114D10φ: C2/C1 → C2 ⊆ Out C4.D20160C4.D20:19C2320,1231
C4.D20⋊20C2 = Q8⋊5D20φ: C2/C1 → C2 ⊆ Out C4.D20160C4.D20:20C2320,1248
C4.D20⋊21C2 = C42.136D10φ: C2/C1 → C2 ⊆ Out C4.D20160C4.D20:21C2320,1257
C4.D20⋊22C2 = C42.233D10φ: C2/C1 → C2 ⊆ Out C4.D20160C4.D20:22C2320,1340
C4.D20⋊23C2 = D5×C4.4D4φ: C2/C1 → C2 ⊆ Out C4.D2080C4.D20:23C2320,1345
C4.D20⋊24C2 = C42.237D10φ: C2/C1 → C2 ⊆ Out C4.D20160C4.D20:24C2320,1363
C4.D20⋊25C2 = C42⋊26D10φ: C2/C1 → C2 ⊆ Out C4.D2080C4.D20:25C2320,1387
C4.D20⋊26C2 = C42.171D10φ: C2/C1 → C2 ⊆ Out C4.D20160C4.D20:26C2320,1396
C4.D20⋊27C2 = C42.178D10φ: C2/C1 → C2 ⊆ Out C4.D20160C4.D20:27C2320,1405
C4.D20⋊28C2 = C42⋊17D10φ: C2/C1 → C2 ⊆ Out C4.D2080C4.D20:28C2320,1232
C4.D20⋊29C2 = C42.133D10φ: C2/C1 → C2 ⊆ Out C4.D20160C4.D20:29C2320,1254
C4.D20⋊30C2 = C42⋊22D10φ: C2/C1 → C2 ⊆ Out C4.D2080C4.D20:30C2320,1355
C4.D20⋊31C2 = C42.145D10φ: C2/C1 → C2 ⊆ Out C4.D20160C4.D20:31C2320,1356
C4.D20⋊32C2 = C42.158D10φ: C2/C1 → C2 ⊆ Out C4.D20160C4.D20:32C2320,1372
C4.D20⋊33C2 = C42.276D10φ: trivial image160C4.D20:33C2320,1149
C4.D20⋊34C2 = C42.277D10φ: trivial image160C4.D20:34C2320,1151

Non-split extensions G=N.Q with N=C4.D20 and Q=C2
extensionφ:Q→Out NdρLabelID
C4.D20.1C2 = C42⋊2F5φ: C2/C1 → C2 ⊆ Out C4.D20804C4.D20.1C2320,192
C4.D20.2C2 = C42.2F5φ: C2/C1 → C2 ⊆ Out C4.D20804C4.D20.2C2320,194
C4.D20.3C2 = C42.264D10φ: C2/C1 → C2 ⊆ Out C4.D20160C4.D20.3C2320,324
C4.D20.4C2 = C42.20D10φ: C2/C1 → C2 ⊆ Out C4.D20160C4.D20.4C2320,341
C4.D20.5C2 = C8.D20φ: C2/C1 → C2 ⊆ Out C4.D20160C4.D20.5C2320,342
C4.D20.6C2 = C42.D10φ: C2/C1 → C2 ⊆ Out C4.D20160C4.D20.6C2320,22
C4.D20.7C2 = C42.36D10φ: C2/C1 → C2 ⊆ Out C4.D20160C4.D20.7C2320,472
C4.D20.8C2 = Q8.1D20φ: C2/C1 → C2 ⊆ Out C4.D20160C4.D20.8C2320,655
C4.D20.9C2 = C42.216D10φ: C2/C1 → C2 ⊆ Out C4.D20160C4.D20.9C2320,695
C4.D20.10C2 = C42.80D10φ: C2/C1 → C2 ⊆ Out C4.D20160C4.D20.10C2320,713
C4.D20.11C2 = C42.82D10φ: C2/C1 → C2 ⊆ Out C4.D20160C4.D20.11C2320,716
C4.D20.12C2 = C42.122D10φ: C2/C1 → C2 ⊆ Out C4.D20160C4.D20.12C2320,1240
C4.D20.13C2 = C42.135D10φ: C2/C1 → C2 ⊆ Out C4.D20160C4.D20.13C2320,1256
C4.D20.14C2 = C42.157D10φ: C2/C1 → C2 ⊆ Out C4.D20160C4.D20.14C2320,1371

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