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Extensions 1→N→G→Q→1 with N=C4 and Q=Q8xD5

Direct product G=NxQ with N=C4 and Q=Q8xD5
dρLabelID
C4xQ8xD5160C4xQ8xD5320,1243

Semidirect products G=N:Q with N=C4 and Q=Q8xD5
extensionφ:Q→Aut NdρLabelID
C4:1(Q8xD5) = D20:8Q8φ: Q8xD5/Dic10 → C2 ⊆ Aut C4160C4:1(Q8xD5)320,1399
C4:2(Q8xD5) = D5xC4:Q8φ: Q8xD5/C4xD5 → C2 ⊆ Aut C4160C4:2(Q8xD5)320,1395
C4:3(Q8xD5) = Q8xD20φ: Q8xD5/C5xQ8 → C2 ⊆ Aut C4160C4:3(Q8xD5)320,1247

Non-split extensions G=N.Q with N=C4 and Q=Q8xD5
extensionφ:Q→Aut NdρLabelID
C4.1(Q8xD5) = Dic10:Q8φ: Q8xD5/Dic10 → C2 ⊆ Aut C4320C4.1(Q8xD5)320,481
C4.2(Q8xD5) = Dic10.Q8φ: Q8xD5/Dic10 → C2 ⊆ Aut C4320C4.2(Q8xD5)320,484
C4.3(Q8xD5) = D20:Q8φ: Q8xD5/Dic10 → C2 ⊆ Aut C4160C4.3(Q8xD5)320,497
C4.4(Q8xD5) = D20.Q8φ: Q8xD5/Dic10 → C2 ⊆ Aut C4160C4.4(Q8xD5)320,498
C4.5(Q8xD5) = Dic10:2Q8φ: Q8xD5/Dic10 → C2 ⊆ Aut C4320C4.5(Q8xD5)320,502
C4.6(Q8xD5) = Dic10.2Q8φ: Q8xD5/Dic10 → C2 ⊆ Aut C4320C4.6(Q8xD5)320,504
C4.7(Q8xD5) = D20:2Q8φ: Q8xD5/Dic10 → C2 ⊆ Aut C4160C4.7(Q8xD5)320,517
C4.8(Q8xD5) = D20.2Q8φ: Q8xD5/Dic10 → C2 ⊆ Aut C4160C4.8(Q8xD5)320,518
C4.9(Q8xD5) = Dic10.4Q8φ: Q8xD5/Dic10 → C2 ⊆ Aut C4320C4.9(Q8xD5)320,690
C4.10(Q8xD5) = D20.4Q8φ: Q8xD5/Dic10 → C2 ⊆ Aut C4160C4.10(Q8xD5)320,693
C4.11(Q8xD5) = D20:5Q8φ: Q8xD5/Dic10 → C2 ⊆ Aut C4160C4.11(Q8xD5)320,711
C4.12(Q8xD5) = D20:6Q8φ: Q8xD5/Dic10 → C2 ⊆ Aut C4160C4.12(Q8xD5)320,714
C4.13(Q8xD5) = Dic10:5Q8φ: Q8xD5/Dic10 → C2 ⊆ Aut C4320C4.13(Q8xD5)320,718
C4.14(Q8xD5) = Dic10:6Q8φ: Q8xD5/Dic10 → C2 ⊆ Aut C4320C4.14(Q8xD5)320,721
C4.15(Q8xD5) = Dic10:7Q8φ: Q8xD5/Dic10 → C2 ⊆ Aut C4320C4.15(Q8xD5)320,1357
C4.16(Q8xD5) = D20:7Q8φ: Q8xD5/Dic10 → C2 ⊆ Aut C4160C4.16(Q8xD5)320,1362
C4.17(Q8xD5) = Dic10:8Q8φ: Q8xD5/Dic10 → C2 ⊆ Aut C4320C4.17(Q8xD5)320,1393
C4.18(Q8xD5) = Dic10:9Q8φ: Q8xD5/Dic10 → C2 ⊆ Aut C4320C4.18(Q8xD5)320,1394
C4.19(Q8xD5) = D20:9Q8φ: Q8xD5/Dic10 → C2 ⊆ Aut C4160C4.19(Q8xD5)320,1402
C4.20(Q8xD5) = C40:5Q8φ: Q8xD5/C4xD5 → C2 ⊆ Aut C4320C4.20(Q8xD5)320,482
C4.21(Q8xD5) = C40:3Q8φ: Q8xD5/C4xD5 → C2 ⊆ Aut C4320C4.21(Q8xD5)320,483
C4.22(Q8xD5) = C8.8Dic10φ: Q8xD5/C4xD5 → C2 ⊆ Aut C4320C4.22(Q8xD5)320,485
C4.23(Q8xD5) = D5xC4.Q8φ: Q8xD5/C4xD5 → C2 ⊆ Aut C4160C4.23(Q8xD5)320,486
C4.24(Q8xD5) = (C8xD5):C4φ: Q8xD5/C4xD5 → C2 ⊆ Aut C4160C4.24(Q8xD5)320,487
C4.25(Q8xD5) = C8:(C4xD5)φ: Q8xD5/C4xD5 → C2 ⊆ Aut C4160C4.25(Q8xD5)320,488
C4.26(Q8xD5) = C40:2Q8φ: Q8xD5/C4xD5 → C2 ⊆ Aut C4320C4.26(Q8xD5)320,501
C4.27(Q8xD5) = C40:4Q8φ: Q8xD5/C4xD5 → C2 ⊆ Aut C4320C4.27(Q8xD5)320,503
C4.28(Q8xD5) = C8.6Dic10φ: Q8xD5/C4xD5 → C2 ⊆ Aut C4320C4.28(Q8xD5)320,505
C4.29(Q8xD5) = D5xC2.D8φ: Q8xD5/C4xD5 → C2 ⊆ Aut C4160C4.29(Q8xD5)320,506
C4.30(Q8xD5) = C8.27(C4xD5)φ: Q8xD5/C4xD5 → C2 ⊆ Aut C4160C4.30(Q8xD5)320,507
C4.31(Q8xD5) = C40:20(C2xC4)φ: Q8xD5/C4xD5 → C2 ⊆ Aut C4160C4.31(Q8xD5)320,508
C4.32(Q8xD5) = C42.215D10φ: Q8xD5/C4xD5 → C2 ⊆ Aut C4320C4.32(Q8xD5)320,691
C4.33(Q8xD5) = C42.68D10φ: Q8xD5/C4xD5 → C2 ⊆ Aut C4320C4.33(Q8xD5)320,692
C4.34(Q8xD5) = C20.17D8φ: Q8xD5/C4xD5 → C2 ⊆ Aut C4320C4.34(Q8xD5)320,705
C4.35(Q8xD5) = C20.SD16φ: Q8xD5/C4xD5 → C2 ⊆ Aut C4320C4.35(Q8xD5)320,706
C4.36(Q8xD5) = C42.76D10φ: Q8xD5/C4xD5 → C2 ⊆ Aut C4320C4.36(Q8xD5)320,707
C4.37(Q8xD5) = D5xC42.C2φ: Q8xD5/C4xD5 → C2 ⊆ Aut C4160C4.37(Q8xD5)320,1359
C4.38(Q8xD5) = C42.236D10φ: Q8xD5/C4xD5 → C2 ⊆ Aut C4160C4.38(Q8xD5)320,1360
C4.39(Q8xD5) = C42.148D10φ: Q8xD5/C4xD5 → C2 ⊆ Aut C4160C4.39(Q8xD5)320,1361
C4.40(Q8xD5) = C42.241D10φ: Q8xD5/C4xD5 → C2 ⊆ Aut C4160C4.40(Q8xD5)320,1400
C4.41(Q8xD5) = C42.174D10φ: Q8xD5/C4xD5 → C2 ⊆ Aut C4160C4.41(Q8xD5)320,1401
C4.42(Q8xD5) = Dic10.3Q8φ: Q8xD5/C5xQ8 → C2 ⊆ Aut C4320C4.42(Q8xD5)320,456
C4.43(Q8xD5) = D20:3Q8φ: Q8xD5/C5xQ8 → C2 ⊆ Aut C4160C4.43(Q8xD5)320,469
C4.44(Q8xD5) = D20:4Q8φ: Q8xD5/C5xQ8 → C2 ⊆ Aut C4160C4.44(Q8xD5)320,473
C4.45(Q8xD5) = D20.3Q8φ: Q8xD5/C5xQ8 → C2 ⊆ Aut C4160C4.45(Q8xD5)320,474
C4.46(Q8xD5) = C20.7Q16φ: Q8xD5/C5xQ8 → C2 ⊆ Aut C4320C4.46(Q8xD5)320,477
C4.47(Q8xD5) = Dic10:4Q8φ: Q8xD5/C5xQ8 → C2 ⊆ Aut C4320C4.47(Q8xD5)320,478
C4.48(Q8xD5) = Q8xDic10φ: Q8xD5/C5xQ8 → C2 ⊆ Aut C4320C4.48(Q8xD5)320,1238
C4.49(Q8xD5) = Dic10:10Q8φ: Q8xD5/C5xQ8 → C2 ⊆ Aut C4320C4.49(Q8xD5)320,1239
C4.50(Q8xD5) = D20:10Q8φ: Q8xD5/C5xQ8 → C2 ⊆ Aut C4160C4.50(Q8xD5)320,1251
C4.51(Q8xD5) = Dic5.5M4(2)central extension (φ=1)320C4.51(Q8xD5)320,455
C4.52(Q8xD5) = Dic10:5C8central extension (φ=1)320C4.52(Q8xD5)320,457
C4.53(Q8xD5) = C42.198D10central extension (φ=1)320C4.53(Q8xD5)320,458
C4.54(Q8xD5) = D5xC4:C8central extension (φ=1)160C4.54(Q8xD5)320,459
C4.55(Q8xD5) = C20:5M4(2)central extension (φ=1)160C4.55(Q8xD5)320,464
C4.56(Q8xD5) = C42.30D10central extension (φ=1)160C4.56(Q8xD5)320,466
C4.57(Q8xD5) = Q8xC5:2C8central extension (φ=1)320C4.57(Q8xD5)320,650
C4.58(Q8xD5) = C42.210D10central extension (φ=1)320C4.58(Q8xD5)320,651
C4.59(Q8xD5) = C42.232D10central extension (φ=1)160C4.59(Q8xD5)320,1250

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