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Extensions 1→N→G→Q→1 with N=C4 and Q=D4:2D5

Direct product G=NxQ with N=C4 and Q=D4:2D5
dρLabelID
C4xD4:2D5160C4xD4:2D5320,1208

Semidirect products G=N:Q with N=C4 and Q=D4:2D5
extensionφ:Q→Aut NdρLabelID
C4:1(D4:2D5) = Dic10:11D4φ: D4:2D5/Dic10 → C2 ⊆ Aut C4160C4:1(D4:2D5)320,1390
C4:2(D4:2D5) = C42.238D10φ: D4:2D5/C4xD5 → C2 ⊆ Aut C4160C4:2(D4:2D5)320,1388
C4:3(D4:2D5) = C20:(C4oD4)φ: D4:2D5/C2xDic5 → C2 ⊆ Aut C4160C4:3(D4:2D5)320,1268
C4:4(D4:2D5) = C10.732- 1+4φ: D4:2D5/C5:D4 → C2 ⊆ Aut C4160C4:4(D4:2D5)320,1283
C4:5(D4:2D5) = D4:6D20φ: D4:2D5/C5xD4 → C2 ⊆ Aut C4160C4:5(D4:2D5)320,1227

Non-split extensions G=N.Q with N=C4 and Q=D4:2D5
extensionφ:Q→Aut NdρLabelID
C4.1(D4:2D5) = C42.61D10φ: D4:2D5/Dic10 → C2 ⊆ Aut C4160C4.1(D4:2D5)320,681
C4.2(D4:2D5) = D20.23D4φ: D4:2D5/Dic10 → C2 ⊆ Aut C4160C4.2(D4:2D5)320,684
C4.3(D4:2D5) = C20:2D8φ: D4:2D5/Dic10 → C2 ⊆ Aut C4160C4.3(D4:2D5)320,699
C4.4(D4:2D5) = Dic10:9D4φ: D4:2D5/Dic10 → C2 ⊆ Aut C4160C4.4(D4:2D5)320,702
C4.5(D4:2D5) = C20:5SD16φ: D4:2D5/Dic10 → C2 ⊆ Aut C4160C4.5(D4:2D5)320,710
C4.6(D4:2D5) = C20:Q16φ: D4:2D5/Dic10 → C2 ⊆ Aut C4320C4.6(D4:2D5)320,717
C4.7(D4:2D5) = Dic5:D8φ: D4:2D5/Dic10 → C2 ⊆ Aut C4160C4.7(D4:2D5)320,777
C4.8(D4:2D5) = (C2xD8).D5φ: D4:2D5/Dic10 → C2 ⊆ Aut C4160C4.8(D4:2D5)320,780
C4.9(D4:2D5) = Dic5:3SD16φ: D4:2D5/Dic10 → C2 ⊆ Aut C4160C4.9(D4:2D5)320,789
C4.10(D4:2D5) = Dic5:5SD16φ: D4:2D5/Dic10 → C2 ⊆ Aut C4160C4.10(D4:2D5)320,790
C4.11(D4:2D5) = (C5xD4).D4φ: D4:2D5/Dic10 → C2 ⊆ Aut C4160C4.11(D4:2D5)320,792
C4.12(D4:2D5) = (C5xQ8).D4φ: D4:2D5/Dic10 → C2 ⊆ Aut C4160C4.12(D4:2D5)320,793
C4.13(D4:2D5) = Dic5:3Q16φ: D4:2D5/Dic10 → C2 ⊆ Aut C4320C4.13(D4:2D5)320,809
C4.14(D4:2D5) = (C2xQ16):D5φ: D4:2D5/Dic10 → C2 ⊆ Aut C4160C4.14(D4:2D5)320,812
C4.15(D4:2D5) = C42.139D10φ: D4:2D5/Dic10 → C2 ⊆ Aut C4160C4.15(D4:2D5)320,1343
C4.16(D4:2D5) = C42.143D10φ: D4:2D5/Dic10 → C2 ⊆ Aut C4160C4.16(D4:2D5)320,1353
C4.17(D4:2D5) = C42.166D10φ: D4:2D5/Dic10 → C2 ⊆ Aut C4160C4.17(D4:2D5)320,1385
C4.18(D4:2D5) = Dic10:8Q8φ: D4:2D5/Dic10 → C2 ⊆ Aut C4320C4.18(D4:2D5)320,1393
C4.19(D4:2D5) = C42.177D10φ: D4:2D5/Dic10 → C2 ⊆ Aut C4160C4.19(D4:2D5)320,1404
C4.20(D4:2D5) = C42.62D10φ: D4:2D5/C4xD5 → C2 ⊆ Aut C4160C4.20(D4:2D5)320,682
C4.21(D4:2D5) = C42.213D10φ: D4:2D5/C4xD5 → C2 ⊆ Aut C4160C4.21(D4:2D5)320,683
C4.22(D4:2D5) = C20.16D8φ: D4:2D5/C4xD5 → C2 ⊆ Aut C4160C4.22(D4:2D5)320,697
C4.23(D4:2D5) = C42.72D10φ: D4:2D5/C4xD5 → C2 ⊆ Aut C4160C4.23(D4:2D5)320,698
C4.24(D4:2D5) = C20.Q16φ: D4:2D5/C4xD5 → C2 ⊆ Aut C4320C4.24(D4:2D5)320,708
C4.25(D4:2D5) = C42.77D10φ: D4:2D5/C4xD5 → C2 ⊆ Aut C4320C4.25(D4:2D5)320,709
C4.26(D4:2D5) = D8xDic5φ: D4:2D5/C4xD5 → C2 ⊆ Aut C4160C4.26(D4:2D5)320,776
C4.27(D4:2D5) = D8:Dic5φ: D4:2D5/C4xD5 → C2 ⊆ Aut C4160C4.27(D4:2D5)320,779
C4.28(D4:2D5) = C40:6D4φ: D4:2D5/C4xD5 → C2 ⊆ Aut C4160C4.28(D4:2D5)320,784
C4.29(D4:2D5) = C40:12D4φ: D4:2D5/C4xD5 → C2 ⊆ Aut C4160C4.29(D4:2D5)320,786
C4.30(D4:2D5) = SD16xDic5φ: D4:2D5/C4xD5 → C2 ⊆ Aut C4160C4.30(D4:2D5)320,788
C4.31(D4:2D5) = SD16:Dic5φ: D4:2D5/C4xD5 → C2 ⊆ Aut C4160C4.31(D4:2D5)320,791
C4.32(D4:2D5) = C40:14D4φ: D4:2D5/C4xD5 → C2 ⊆ Aut C4160C4.32(D4:2D5)320,798
C4.33(D4:2D5) = C40:8D4φ: D4:2D5/C4xD5 → C2 ⊆ Aut C4160C4.33(D4:2D5)320,801
C4.34(D4:2D5) = Q16xDic5φ: D4:2D5/C4xD5 → C2 ⊆ Aut C4320C4.34(D4:2D5)320,810
C4.35(D4:2D5) = Q16:Dic5φ: D4:2D5/C4xD5 → C2 ⊆ Aut C4320C4.35(D4:2D5)320,811
C4.36(D4:2D5) = D10:3Q16φ: D4:2D5/C4xD5 → C2 ⊆ Aut C4160C4.36(D4:2D5)320,815
C4.37(D4:2D5) = C40.36D4φ: D4:2D5/C4xD5 → C2 ⊆ Aut C4160C4.37(D4:2D5)320,816
C4.38(D4:2D5) = C42.234D10φ: D4:2D5/C4xD5 → C2 ⊆ Aut C4160C4.38(D4:2D5)320,1352
C4.39(D4:2D5) = C42.144D10φ: D4:2D5/C4xD5 → C2 ⊆ Aut C4160C4.39(D4:2D5)320,1354
C4.40(D4:2D5) = C42.168D10φ: D4:2D5/C4xD5 → C2 ⊆ Aut C4160C4.40(D4:2D5)320,1391
C4.41(D4:2D5) = C42.241D10φ: D4:2D5/C4xD5 → C2 ⊆ Aut C4160C4.41(D4:2D5)320,1400
C4.42(D4:2D5) = C42.176D10φ: D4:2D5/C4xD5 → C2 ⊆ Aut C4160C4.42(D4:2D5)320,1403
C4.43(D4:2D5) = Dic5:4D8φ: D4:2D5/C2xDic5 → C2 ⊆ Aut C4160C4.43(D4:2D5)320,383
C4.44(D4:2D5) = D4.D5:5C4φ: D4:2D5/C2xDic5 → C2 ⊆ Aut C4160C4.44(D4:2D5)320,384
C4.45(D4:2D5) = Dic5:6SD16φ: D4:2D5/C2xDic5 → C2 ⊆ Aut C4160C4.45(D4:2D5)320,385
C4.46(D4:2D5) = Dic5.5D8φ: D4:2D5/C2xDic5 → C2 ⊆ Aut C4160C4.46(D4:2D5)320,387
C4.47(D4:2D5) = C4:C4.D10φ: D4:2D5/C2xDic5 → C2 ⊆ Aut C4160C4.47(D4:2D5)320,391
C4.48(D4:2D5) = C20:Q8:C2φ: D4:2D5/C2xDic5 → C2 ⊆ Aut C4160C4.48(D4:2D5)320,392
C4.49(D4:2D5) = (C8xDic5):C2φ: D4:2D5/C2xDic5 → C2 ⊆ Aut C4160C4.49(D4:2D5)320,395
C4.50(D4:2D5) = D4:D5:6C4φ: D4:2D5/C2xDic5 → C2 ⊆ Aut C4160C4.50(D4:2D5)320,412
C4.51(D4:2D5) = Dic5:7SD16φ: D4:2D5/C2xDic5 → C2 ⊆ Aut C4160C4.51(D4:2D5)320,415
C4.52(D4:2D5) = C5:Q16:5C4φ: D4:2D5/C2xDic5 → C2 ⊆ Aut C4320C4.52(D4:2D5)320,416
C4.53(D4:2D5) = Dic5:4Q16φ: D4:2D5/C2xDic5 → C2 ⊆ Aut C4320C4.53(D4:2D5)320,417
C4.54(D4:2D5) = Dic5.3Q16φ: D4:2D5/C2xDic5 → C2 ⊆ Aut C4320C4.54(D4:2D5)320,419
C4.55(D4:2D5) = Q8:C4:D5φ: D4:2D5/C2xDic5 → C2 ⊆ Aut C4160C4.55(D4:2D5)320,422
C4.56(D4:2D5) = C40:8C4.C2φ: D4:2D5/C2xDic5 → C2 ⊆ Aut C4320C4.56(D4:2D5)320,424
C4.57(D4:2D5) = Q8:Dic5:C2φ: D4:2D5/C2xDic5 → C2 ⊆ Aut C4160C4.57(D4:2D5)320,427
C4.58(D4:2D5) = Q8:D5:6C4φ: D4:2D5/C2xDic5 → C2 ⊆ Aut C4160C4.58(D4:2D5)320,444
C4.59(D4:2D5) = (C2xC10):D8φ: D4:2D5/C2xDic5 → C2 ⊆ Aut C4160C4.59(D4:2D5)320,665
C4.60(D4:2D5) = C4:D4:D5φ: D4:2D5/C2xDic5 → C2 ⊆ Aut C4160C4.60(D4:2D5)320,666
C4.61(D4:2D5) = C5:2C8:23D4φ: D4:2D5/C2xDic5 → C2 ⊆ Aut C4160C4.61(D4:2D5)320,668
C4.62(D4:2D5) = C4.(D4xD5)φ: D4:2D5/C2xDic5 → C2 ⊆ Aut C4160C4.62(D4:2D5)320,669
C4.63(D4:2D5) = C5:2C8:24D4φ: D4:2D5/C2xDic5 → C2 ⊆ Aut C4160C4.63(D4:2D5)320,675
C4.64(D4:2D5) = C22:Q8:D5φ: D4:2D5/C2xDic5 → C2 ⊆ Aut C4160C4.64(D4:2D5)320,676
C4.65(D4:2D5) = (C2xC10):Q16φ: D4:2D5/C2xDic5 → C2 ⊆ Aut C4160C4.65(D4:2D5)320,678
C4.66(D4:2D5) = C5:(C8.D4)φ: D4:2D5/C2xDic5 → C2 ⊆ Aut C4160C4.66(D4:2D5)320,679
C4.67(D4:2D5) = C4:C4.178D10φ: D4:2D5/C2xDic5 → C2 ⊆ Aut C4160C4.67(D4:2D5)320,1272
C4.68(D4:2D5) = C10.362+ 1+4φ: D4:2D5/C2xDic5 → C2 ⊆ Aut C4160C4.68(D4:2D5)320,1275
C4.69(D4:2D5) = C10.472+ 1+4φ: D4:2D5/C2xDic5 → C2 ⊆ Aut C4160C4.69(D4:2D5)320,1291
C4.70(D4:2D5) = (Q8xDic5):C2φ: D4:2D5/C2xDic5 → C2 ⊆ Aut C4160C4.70(D4:2D5)320,1294
C4.71(D4:2D5) = C22:Q8:25D5φ: D4:2D5/C2xDic5 → C2 ⊆ Aut C4160C4.71(D4:2D5)320,1296
C4.72(D4:2D5) = C10.152- 1+4φ: D4:2D5/C2xDic5 → C2 ⊆ Aut C4160C4.72(D4:2D5)320,1297
C4.73(D4:2D5) = C10.242- 1+4φ: D4:2D5/C2xDic5 → C2 ⊆ Aut C4160C4.73(D4:2D5)320,1315
C4.74(D4:2D5) = Dic5.14D8φ: D4:2D5/C5:D4 → C2 ⊆ Aut C4160C4.74(D4:2D5)320,386
C4.75(D4:2D5) = D4:Dic10φ: D4:2D5/C5:D4 → C2 ⊆ Aut C4160C4.75(D4:2D5)320,388
C4.76(D4:2D5) = D4.Dic10φ: D4:2D5/C5:D4 → C2 ⊆ Aut C4160C4.76(D4:2D5)320,390
C4.77(D4:2D5) = D4.2Dic10φ: D4:2D5/C5:D4 → C2 ⊆ Aut C4160C4.77(D4:2D5)320,393
C4.78(D4:2D5) = D10.12D8φ: D4:2D5/C5:D4 → C2 ⊆ Aut C4160C4.78(D4:2D5)320,401
C4.79(D4:2D5) = D10.16SD16φ: D4:2D5/C5:D4 → C2 ⊆ Aut C4160C4.79(D4:2D5)320,404
C4.80(D4:2D5) = C40:6C4:C2φ: D4:2D5/C5:D4 → C2 ⊆ Aut C4160C4.80(D4:2D5)320,406
C4.81(D4:2D5) = C40:5C4:C2φ: D4:2D5/C5:D4 → C2 ⊆ Aut C4160C4.81(D4:2D5)320,411
C4.82(D4:2D5) = Q8:Dic10φ: D4:2D5/C5:D4 → C2 ⊆ Aut C4320C4.82(D4:2D5)320,418
C4.83(D4:2D5) = Dic5.9Q16φ: D4:2D5/C5:D4 → C2 ⊆ Aut C4320C4.83(D4:2D5)320,421
C4.84(D4:2D5) = Q8.Dic10φ: D4:2D5/C5:D4 → C2 ⊆ Aut C4320C4.84(D4:2D5)320,423
C4.85(D4:2D5) = Q8.2Dic10φ: D4:2D5/C5:D4 → C2 ⊆ Aut C4320C4.85(D4:2D5)320,426
C4.86(D4:2D5) = D10.11SD16φ: D4:2D5/C5:D4 → C2 ⊆ Aut C4160C4.86(D4:2D5)320,432
C4.87(D4:2D5) = D10.7Q16φ: D4:2D5/C5:D4 → C2 ⊆ Aut C4160C4.87(D4:2D5)320,436
C4.88(D4:2D5) = (C2xC8).D10φ: D4:2D5/C5:D4 → C2 ⊆ Aut C4160C4.88(D4:2D5)320,441
C4.89(D4:2D5) = D10:1C8.C2φ: D4:2D5/C5:D4 → C2 ⊆ Aut C4160C4.89(D4:2D5)320,442
C4.90(D4:2D5) = (C2xC10).D8φ: D4:2D5/C5:D4 → C2 ⊆ Aut C4160C4.90(D4:2D5)320,660
C4.91(D4:2D5) = C4:D4.D5φ: D4:2D5/C5:D4 → C2 ⊆ Aut C4160C4.91(D4:2D5)320,661
C4.92(D4:2D5) = (C2xD4).D10φ: D4:2D5/C5:D4 → C2 ⊆ Aut C4160C4.92(D4:2D5)320,662
C4.93(D4:2D5) = C22:Q8.D5φ: D4:2D5/C5:D4 → C2 ⊆ Aut C4160C4.93(D4:2D5)320,670
C4.94(D4:2D5) = (C2xC10).Q16φ: D4:2D5/C5:D4 → C2 ⊆ Aut C4160C4.94(D4:2D5)320,671
C4.95(D4:2D5) = C10.(C4oD8)φ: D4:2D5/C5:D4 → C2 ⊆ Aut C4160C4.95(D4:2D5)320,672
C4.96(D4:2D5) = C10.432+ 1+4φ: D4:2D5/C5:D4 → C2 ⊆ Aut C4160C4.96(D4:2D5)320,1286
C4.97(D4:2D5) = C10.452+ 1+4φ: D4:2D5/C5:D4 → C2 ⊆ Aut C4160C4.97(D4:2D5)320,1288
C4.98(D4:2D5) = C10.1152+ 1+4φ: D4:2D5/C5:D4 → C2 ⊆ Aut C4160C4.98(D4:2D5)320,1290
C4.99(D4:2D5) = C10.1182+ 1+4φ: D4:2D5/C5:D4 → C2 ⊆ Aut C4160C4.99(D4:2D5)320,1307
C4.100(D4:2D5) = C10.212- 1+4φ: D4:2D5/C5:D4 → C2 ⊆ Aut C4160C4.100(D4:2D5)320,1311
C4.101(D4:2D5) = C10.232- 1+4φ: D4:2D5/C5:D4 → C2 ⊆ Aut C4160C4.101(D4:2D5)320,1313
C4.102(D4:2D5) = C10.772- 1+4φ: D4:2D5/C5:D4 → C2 ⊆ Aut C4160C4.102(D4:2D5)320,1314
C4.103(D4:2D5) = C23.34D20φ: D4:2D5/C5xD4 → C2 ⊆ Aut C4160C4.103(D4:2D5)320,348
C4.104(D4:2D5) = C23.35D20φ: D4:2D5/C5xD4 → C2 ⊆ Aut C4160C4.104(D4:2D5)320,349
C4.105(D4:2D5) = C23.10D20φ: D4:2D5/C5xD4 → C2 ⊆ Aut C4160C4.105(D4:2D5)320,350
C4.106(D4:2D5) = C23.38D20φ: D4:2D5/C5xD4 → C2 ⊆ Aut C4160C4.106(D4:2D5)320,362
C4.107(D4:2D5) = C22.D40φ: D4:2D5/C5xD4 → C2 ⊆ Aut C4160C4.107(D4:2D5)320,363
C4.108(D4:2D5) = C23.13D20φ: D4:2D5/C5xD4 → C2 ⊆ Aut C4160C4.108(D4:2D5)320,364
C4.109(D4:2D5) = Dic10.3Q8φ: D4:2D5/C5xD4 → C2 ⊆ Aut C4320C4.109(D4:2D5)320,456
C4.110(D4:2D5) = D20:3Q8φ: D4:2D5/C5xD4 → C2 ⊆ Aut C4160C4.110(D4:2D5)320,469
C4.111(D4:2D5) = D20:4Q8φ: D4:2D5/C5xD4 → C2 ⊆ Aut C4160C4.111(D4:2D5)320,473
C4.112(D4:2D5) = D20.3Q8φ: D4:2D5/C5xD4 → C2 ⊆ Aut C4160C4.112(D4:2D5)320,474
C4.113(D4:2D5) = C20.7Q16φ: D4:2D5/C5xD4 → C2 ⊆ Aut C4320C4.113(D4:2D5)320,477
C4.114(D4:2D5) = Dic10:4Q8φ: D4:2D5/C5xD4 → C2 ⊆ Aut C4320C4.114(D4:2D5)320,478
C4.115(D4:2D5) = C42.105D10φ: D4:2D5/C5xD4 → C2 ⊆ Aut C4160C4.115(D4:2D5)320,1213
C4.116(D4:2D5) = C42.106D10φ: D4:2D5/C5xD4 → C2 ⊆ Aut C4160C4.116(D4:2D5)320,1214
C4.117(D4:2D5) = D4:6Dic10φ: D4:2D5/C5xD4 → C2 ⊆ Aut C4160C4.117(D4:2D5)320,1215
C4.118(D4:2D5) = C42.117D10φ: D4:2D5/C5xD4 → C2 ⊆ Aut C4160C4.118(D4:2D5)320,1235
C4.119(D4:2D5) = C42.119D10φ: D4:2D5/C5xD4 → C2 ⊆ Aut C4160C4.119(D4:2D5)320,1237
C4.120(D4:2D5) = Dic5.14M4(2)central extension (φ=1)160C4.120(D4:2D5)320,345
C4.121(D4:2D5) = Dic5.9M4(2)central extension (φ=1)160C4.121(D4:2D5)320,346
C4.122(D4:2D5) = C40:8C4:C2central extension (φ=1)160C4.122(D4:2D5)320,347
C4.123(D4:2D5) = C5:5(C8xD4)central extension (φ=1)160C4.123(D4:2D5)320,352
C4.124(D4:2D5) = D10:4M4(2)central extension (φ=1)160C4.124(D4:2D5)320,355
C4.125(D4:2D5) = Dic5:2M4(2)central extension (φ=1)160C4.125(D4:2D5)320,356
C4.126(D4:2D5) = C5:2C8:26D4central extension (φ=1)160C4.126(D4:2D5)320,357
C4.127(D4:2D5) = Dic5.5M4(2)central extension (φ=1)320C4.127(D4:2D5)320,455
C4.128(D4:2D5) = Dic10:5C8central extension (φ=1)320C4.128(D4:2D5)320,457
C4.129(D4:2D5) = C42.198D10central extension (φ=1)320C4.129(D4:2D5)320,458
C4.130(D4:2D5) = C42.200D10central extension (φ=1)160C4.130(D4:2D5)320,460
C4.131(D4:2D5) = C42.202D10central extension (φ=1)160C4.131(D4:2D5)320,462
C4.132(D4:2D5) = C42.31D10central extension (φ=1)160C4.132(D4:2D5)320,467
C4.133(D4:2D5) = D4xC5:2C8central extension (φ=1)160C4.133(D4:2D5)320,637
C4.134(D4:2D5) = C42.47D10central extension (φ=1)160C4.134(D4:2D5)320,638
C4.135(D4:2D5) = C20:7M4(2)central extension (φ=1)160C4.135(D4:2D5)320,639
C4.136(D4:2D5) = C42.102D10central extension (φ=1)160C4.136(D4:2D5)320,1210
C4.137(D4:2D5) = C42.229D10central extension (φ=1)160C4.137(D4:2D5)320,1229

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