Extensions 1→N→G→Q→1 with N=C4⋊D4 and Q=D5

Direct product G=N×Q with N=C4⋊D4 and Q=D5
dρLabelID
D5×C4⋊D480D5xC4:D4320,1276

Semidirect products G=N:Q with N=C4⋊D4 and Q=D5
extensionφ:Q→Out NdρLabelID
C4⋊D41D5 = D2016D4φ: D5/C5C2 ⊆ Out C4⋊D480C4:D4:1D5320,663
C4⋊D42D5 = D2017D4φ: D5/C5C2 ⊆ Out C4⋊D4160C4:D4:2D5320,664
C4⋊D43D5 = (C2×C10)⋊D8φ: D5/C5C2 ⊆ Out C4⋊D4160C4:D4:3D5320,665
C4⋊D44D5 = C4⋊D4⋊D5φ: D5/C5C2 ⊆ Out C4⋊D4160C4:D4:4D5320,666
C4⋊D45D5 = C10.682- 1+4φ: D5/C5C2 ⊆ Out C4⋊D4160C4:D4:5D5320,1269
C4⋊D46D5 = Dic1019D4φ: D5/C5C2 ⊆ Out C4⋊D4160C4:D4:6D5320,1270
C4⋊D47D5 = Dic1020D4φ: D5/C5C2 ⊆ Out C4⋊D4160C4:D4:7D5320,1271
C4⋊D48D5 = C10.342+ 1+4φ: D5/C5C2 ⊆ Out C4⋊D4160C4:D4:8D5320,1273
C4⋊D49D5 = C10.372+ 1+4φ: D5/C5C2 ⊆ Out C4⋊D480C4:D4:9D5320,1277
C4⋊D410D5 = C10.382+ 1+4φ: D5/C5C2 ⊆ Out C4⋊D480C4:D4:10D5320,1279
C4⋊D411D5 = C10.392+ 1+4φ: D5/C5C2 ⊆ Out C4⋊D4160C4:D4:11D5320,1280
C4⋊D412D5 = D2019D4φ: D5/C5C2 ⊆ Out C4⋊D480C4:D4:12D5320,1281
C4⋊D413D5 = C10.402+ 1+4φ: D5/C5C2 ⊆ Out C4⋊D480C4:D4:13D5320,1282
C4⋊D414D5 = C10.732- 1+4φ: D5/C5C2 ⊆ Out C4⋊D4160C4:D4:14D5320,1283
C4⋊D415D5 = D2020D4φ: D5/C5C2 ⊆ Out C4⋊D480C4:D4:15D5320,1284
C4⋊D416D5 = C10.422+ 1+4φ: D5/C5C2 ⊆ Out C4⋊D480C4:D4:16D5320,1285
C4⋊D417D5 = C10.432+ 1+4φ: D5/C5C2 ⊆ Out C4⋊D4160C4:D4:17D5320,1286
C4⋊D418D5 = C10.442+ 1+4φ: D5/C5C2 ⊆ Out C4⋊D4160C4:D4:18D5320,1287
C4⋊D419D5 = C10.452+ 1+4φ: D5/C5C2 ⊆ Out C4⋊D4160C4:D4:19D5320,1288
C4⋊D420D5 = C10.462+ 1+4φ: D5/C5C2 ⊆ Out C4⋊D480C4:D4:20D5320,1289
C4⋊D421D5 = C10.1152+ 1+4φ: D5/C5C2 ⊆ Out C4⋊D4160C4:D4:21D5320,1290
C4⋊D422D5 = C10.472+ 1+4φ: D5/C5C2 ⊆ Out C4⋊D4160C4:D4:22D5320,1291
C4⋊D423D5 = C10.482+ 1+4φ: D5/C5C2 ⊆ Out C4⋊D480C4:D4:23D5320,1292
C4⋊D424D5 = C10.742- 1+4φ: D5/C5C2 ⊆ Out C4⋊D4160C4:D4:24D5320,1293
C4⋊D425D5 = C20⋊(C4○D4)φ: trivial image160C4:D4:25D5320,1268
C4⋊D426D5 = C4⋊C421D10φ: trivial image80C4:D4:26D5320,1278

Non-split extensions G=N.Q with N=C4⋊D4 and Q=D5
extensionφ:Q→Out NdρLabelID
C4⋊D4.1D5 = C4⋊C4⋊Dic5φ: D5/C5C2 ⊆ Out C4⋊D480C4:D4.1D5320,95
C4⋊D4.2D5 = (C2×C10).D8φ: D5/C5C2 ⊆ Out C4⋊D4160C4:D4.2D5320,660
C4⋊D4.3D5 = C4⋊D4.D5φ: D5/C5C2 ⊆ Out C4⋊D4160C4:D4.3D5320,661
C4⋊D4.4D5 = (C2×D4).D10φ: D5/C5C2 ⊆ Out C4⋊D4160C4:D4.4D5320,662
C4⋊D4.5D5 = Dic1017D4φ: D5/C5C2 ⊆ Out C4⋊D4160C4:D4.5D5320,667
C4⋊D4.6D5 = C52C823D4φ: D5/C5C2 ⊆ Out C4⋊D4160C4:D4.6D5320,668
C4⋊D4.7D5 = C4.(D4×D5)φ: D5/C5C2 ⊆ Out C4⋊D4160C4:D4.7D5320,669
C4⋊D4.8D5 = C10.352+ 1+4φ: D5/C5C2 ⊆ Out C4⋊D4160C4:D4.8D5320,1274
C4⋊D4.9D5 = C10.362+ 1+4φ: D5/C5C2 ⊆ Out C4⋊D4160C4:D4.9D5320,1275
C4⋊D4.10D5 = C4⋊C4.178D10φ: trivial image160C4:D4.10D5320,1272

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