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Extensions 1→N→G→Q→1 with N=C10 and Q=C4○D8

Direct product G=N×Q with N=C10 and Q=C4○D8
dρLabelID
C10×C4○D8160C10xC4oD8320,1574

Semidirect products G=N:Q with N=C10 and Q=C4○D8
extensionφ:Q→Aut NdρLabelID
C10⋊1(C4○D8) = C2×D40⋊7C2φ: C4○D8/C2×C8 → C2 ⊆ Aut C10160C10:1(C4oD8)320,1413
C10⋊2(C4○D8) = C2×D8⋊3D5φ: C4○D8/D8 → C2 ⊆ Aut C10160C10:2(C4oD8)320,1428
C10⋊3(C4○D8) = C2×SD16⋊3D5φ: C4○D8/SD16 → C2 ⊆ Aut C10160C10:3(C4oD8)320,1433
C10⋊4(C4○D8) = C2×Q8.D10φ: C4○D8/Q16 → C2 ⊆ Aut C10160C10:4(C4oD8)320,1437
C10⋊5(C4○D8) = C2×D4.8D10φ: C4○D8/C4○D4 → C2 ⊆ Aut C10160C10:5(C4oD8)320,1493

Non-split extensions G=N.Q with N=C10 and Q=C4○D8
extensionφ:Q→Aut NdρLabelID
C10.1(C4○D8) = C40.13Q8φ: C4○D8/C2×C8 → C2 ⊆ Aut C10320C10.1(C4oD8)320,310
C10.2(C4○D8) = C4×C40⋊C2φ: C4○D8/C2×C8 → C2 ⊆ Aut C10160C10.2(C4oD8)320,318
C10.3(C4○D8) = C4×D40φ: C4○D8/C2×C8 → C2 ⊆ Aut C10160C10.3(C4oD8)320,319
C10.4(C4○D8) = C8.8D20φ: C4○D8/C2×C8 → C2 ⊆ Aut C10160C10.4(C4oD8)320,323
C10.5(C4○D8) = C42.264D10φ: C4○D8/C2×C8 → C2 ⊆ Aut C10160C10.5(C4oD8)320,324
C10.6(C4○D8) = C4×Dic20φ: C4○D8/C2×C8 → C2 ⊆ Aut C10320C10.6(C4oD8)320,325
C10.7(C4○D8) = C23.10D20φ: C4○D8/C2×C8 → C2 ⊆ Aut C10160C10.7(C4oD8)320,350
C10.8(C4○D8) = D20.32D4φ: C4○D8/C2×C8 → C2 ⊆ Aut C10160C10.8(C4oD8)320,360
C10.9(C4○D8) = D20⋊14D4φ: C4○D8/C2×C8 → C2 ⊆ Aut C10160C10.9(C4oD8)320,361
C10.10(C4○D8) = C23.13D20φ: C4○D8/C2×C8 → C2 ⊆ Aut C10160C10.10(C4oD8)320,364
C10.11(C4○D8) = Dic10.3Q8φ: C4○D8/C2×C8 → C2 ⊆ Aut C10320C10.11(C4oD8)320,456
C10.12(C4○D8) = D20.19D4φ: C4○D8/C2×C8 → C2 ⊆ Aut C10160C10.12(C4oD8)320,471
C10.13(C4○D8) = C42.36D10φ: C4○D8/C2×C8 → C2 ⊆ Aut C10160C10.13(C4oD8)320,472
C10.14(C4○D8) = D20.3Q8φ: C4○D8/C2×C8 → C2 ⊆ Aut C10160C10.14(C4oD8)320,474
C10.15(C4○D8) = C23.22D20φ: C4○D8/C2×C8 → C2 ⊆ Aut C10160C10.15(C4oD8)320,733
C10.16(C4○D8) = C23.23D20φ: C4○D8/C2×C8 → C2 ⊆ Aut C10160C10.16(C4oD8)320,740
C10.17(C4○D8) = C40⋊30D4φ: C4○D8/C2×C8 → C2 ⊆ Aut C10160C10.17(C4oD8)320,741
C10.18(C4○D8) = C40⋊29D4φ: C4○D8/C2×C8 → C2 ⊆ Aut C10160C10.18(C4oD8)320,742
C10.19(C4○D8) = C40.82D4φ: C4○D8/C2×C8 → C2 ⊆ Aut C10160C10.19(C4oD8)320,743
C10.20(C4○D8) = Dic5⋊6SD16φ: C4○D8/D8 → C2 ⊆ Aut C10160C10.20(C4oD8)320,385
C10.21(C4○D8) = D4.2Dic10φ: C4○D8/D8 → C2 ⊆ Aut C10160C10.21(C4oD8)320,393
C10.22(C4○D8) = Dic10.D4φ: C4○D8/D8 → C2 ⊆ Aut C10160C10.22(C4oD8)320,394
C10.23(C4○D8) = D10⋊SD16φ: C4○D8/D8 → C2 ⊆ Aut C10160C10.23(C4oD8)320,405
C10.24(C4○D8) = D4.D20φ: C4○D8/D8 → C2 ⊆ Aut C10160C10.24(C4oD8)320,410
C10.25(C4○D8) = C40⋊5C4⋊C2φ: C4○D8/D8 → C2 ⊆ Aut C10160C10.25(C4oD8)320,411
C10.26(C4○D8) = Dic5⋊5Q16φ: C4○D8/D8 → C2 ⊆ Aut C10320C10.26(C4oD8)320,500
C10.27(C4○D8) = Dic10.2Q8φ: C4○D8/D8 → C2 ⊆ Aut C10320C10.27(C4oD8)320,504
C10.28(C4○D8) = C8.27(C4×D5)φ: C4○D8/D8 → C2 ⊆ Aut C10160C10.28(C4oD8)320,507
C10.29(C4○D8) = D10⋊2Q16φ: C4○D8/D8 → C2 ⊆ Aut C10160C10.29(C4oD8)320,514
C10.30(C4○D8) = C2.D8⋊7D5φ: C4○D8/D8 → C2 ⊆ Aut C10160C10.30(C4oD8)320,515
C10.31(C4○D8) = D8×Dic5φ: C4○D8/D8 → C2 ⊆ Aut C10160C10.31(C4oD8)320,776
C10.32(C4○D8) = (C2×D8).D5φ: C4○D8/D8 → C2 ⊆ Aut C10160C10.32(C4oD8)320,780
C10.33(C4○D8) = C40.22D4φ: C4○D8/D8 → C2 ⊆ Aut C10160C10.33(C4oD8)320,782
C10.34(C4○D8) = C40⋊6D4φ: C4○D8/D8 → C2 ⊆ Aut C10160C10.34(C4oD8)320,784
C10.35(C4○D8) = Dic10⋊D4φ: C4○D8/D8 → C2 ⊆ Aut C10160C10.35(C4oD8)320,785
C10.36(C4○D8) = Dic5⋊4D8φ: C4○D8/SD16 → C2 ⊆ Aut C10160C10.36(C4oD8)320,383
C10.37(C4○D8) = D4.Dic10φ: C4○D8/SD16 → C2 ⊆ Aut C10160C10.37(C4oD8)320,390
C10.38(C4○D8) = (C8×Dic5)⋊C2φ: C4○D8/SD16 → C2 ⊆ Aut C10160C10.38(C4oD8)320,395
C10.39(C4○D8) = D4⋊2D5⋊C4φ: C4○D8/SD16 → C2 ⊆ Aut C10160C10.39(C4oD8)320,399
C10.40(C4○D8) = D10⋊D8φ: C4○D8/SD16 → C2 ⊆ Aut C10160C10.40(C4oD8)320,402
C10.41(C4○D8) = C40⋊6C4⋊C2φ: C4○D8/SD16 → C2 ⊆ Aut C10160C10.41(C4oD8)320,406
C10.42(C4○D8) = D4⋊3D20φ: C4○D8/SD16 → C2 ⊆ Aut C10160C10.42(C4oD8)320,408
C10.43(C4○D8) = D20.D4φ: C4○D8/SD16 → C2 ⊆ Aut C10160C10.43(C4oD8)320,414
C10.44(C4○D8) = Dic5⋊4Q16φ: C4○D8/SD16 → C2 ⊆ Aut C10320C10.44(C4oD8)320,417
C10.45(C4○D8) = Dic10.11D4φ: C4○D8/SD16 → C2 ⊆ Aut C10160C10.45(C4oD8)320,425
C10.46(C4○D8) = Q8.2Dic10φ: C4○D8/SD16 → C2 ⊆ Aut C10320C10.46(C4oD8)320,426
C10.47(C4○D8) = Q8⋊2D5⋊C4φ: C4○D8/SD16 → C2 ⊆ Aut C10160C10.47(C4oD8)320,431
C10.48(C4○D8) = Q8.D20φ: C4○D8/SD16 → C2 ⊆ Aut C10160C10.48(C4oD8)320,437
C10.49(C4○D8) = D10⋊Q16φ: C4○D8/SD16 → C2 ⊆ Aut C10160C10.49(C4oD8)320,440
C10.50(C4○D8) = D10⋊1C8.C2φ: C4○D8/SD16 → C2 ⊆ Aut C10160C10.50(C4oD8)320,442
C10.51(C4○D8) = Dic5⋊8SD16φ: C4○D8/SD16 → C2 ⊆ Aut C10160C10.51(C4oD8)320,479
C10.52(C4○D8) = Dic10.Q8φ: C4○D8/SD16 → C2 ⊆ Aut C10320C10.52(C4oD8)320,484
C10.53(C4○D8) = C8.8Dic10φ: C4○D8/SD16 → C2 ⊆ Aut C10320C10.53(C4oD8)320,485
C10.54(C4○D8) = (C8×D5)⋊C4φ: C4○D8/SD16 → C2 ⊆ Aut C10160C10.54(C4oD8)320,487
C10.55(C4○D8) = C8⋊8D20φ: C4○D8/SD16 → C2 ⊆ Aut C10160C10.55(C4oD8)320,491
C10.56(C4○D8) = C4.Q8⋊D5φ: C4○D8/SD16 → C2 ⊆ Aut C10160C10.56(C4oD8)320,493
C10.57(C4○D8) = C20.(C4○D4)φ: C4○D8/SD16 → C2 ⊆ Aut C10160C10.57(C4oD8)320,494
C10.58(C4○D8) = D20.Q8φ: C4○D8/SD16 → C2 ⊆ Aut C10160C10.58(C4oD8)320,498
C10.59(C4○D8) = SD16×Dic5φ: C4○D8/SD16 → C2 ⊆ Aut C10160C10.59(C4oD8)320,788
C10.60(C4○D8) = (C5×D4).D4φ: C4○D8/SD16 → C2 ⊆ Aut C10160C10.60(C4oD8)320,792
C10.61(C4○D8) = (C5×Q8).D4φ: C4○D8/SD16 → C2 ⊆ Aut C10160C10.61(C4oD8)320,793
C10.62(C4○D8) = C40.43D4φ: C4○D8/SD16 → C2 ⊆ Aut C10160C10.62(C4oD8)320,795
C10.63(C4○D8) = C40⋊14D4φ: C4○D8/SD16 → C2 ⊆ Aut C10160C10.63(C4oD8)320,798
C10.64(C4○D8) = D20⋊7D4φ: C4○D8/SD16 → C2 ⊆ Aut C10160C10.64(C4oD8)320,799
C10.65(C4○D8) = Dic10.16D4φ: C4○D8/SD16 → C2 ⊆ Aut C10160C10.65(C4oD8)320,800
C10.66(C4○D8) = Dic5⋊7SD16φ: C4○D8/Q16 → C2 ⊆ Aut C10160C10.66(C4oD8)320,415
C10.67(C4○D8) = Q8.Dic10φ: C4○D8/Q16 → C2 ⊆ Aut C10320C10.67(C4oD8)320,423
C10.68(C4○D8) = Q8⋊Dic5⋊C2φ: C4○D8/Q16 → C2 ⊆ Aut C10160C10.68(C4oD8)320,427
C10.69(C4○D8) = D10⋊2SD16φ: C4○D8/Q16 → C2 ⊆ Aut C10160C10.69(C4oD8)320,434
C10.70(C4○D8) = D20⋊4D4φ: C4○D8/Q16 → C2 ⊆ Aut C10160C10.70(C4oD8)320,438
C10.71(C4○D8) = (C2×C8).D10φ: C4○D8/Q16 → C2 ⊆ Aut C10160C10.71(C4oD8)320,441
C10.72(C4○D8) = D20.12D4φ: C4○D8/Q16 → C2 ⊆ Aut C10160C10.72(C4oD8)320,446
C10.73(C4○D8) = D40⋊12C4φ: C4○D8/Q16 → C2 ⊆ Aut C10160C10.73(C4oD8)320,499
C10.74(C4○D8) = C8.6Dic10φ: C4○D8/Q16 → C2 ⊆ Aut C10320C10.74(C4oD8)320,505
C10.75(C4○D8) = C8⋊7D20φ: C4○D8/Q16 → C2 ⊆ Aut C10160C10.75(C4oD8)320,510
C10.76(C4○D8) = C2.D8⋊D5φ: C4○D8/Q16 → C2 ⊆ Aut C10160C10.76(C4oD8)320,512
C10.77(C4○D8) = D20.2Q8φ: C4○D8/Q16 → C2 ⊆ Aut C10160C10.77(C4oD8)320,518
C10.78(C4○D8) = Q16×Dic5φ: C4○D8/Q16 → C2 ⊆ Aut C10320C10.78(C4oD8)320,810
C10.79(C4○D8) = (C2×Q16)⋊D5φ: C4○D8/Q16 → C2 ⊆ Aut C10160C10.79(C4oD8)320,812
C10.80(C4○D8) = D20.17D4φ: C4○D8/Q16 → C2 ⊆ Aut C10160C10.80(C4oD8)320,814
C10.81(C4○D8) = D10⋊3Q16φ: C4○D8/Q16 → C2 ⊆ Aut C10160C10.81(C4oD8)320,815
C10.82(C4○D8) = C40.28D4φ: C4○D8/Q16 → C2 ⊆ Aut C10160C10.82(C4oD8)320,818
C10.83(C4○D8) = C4⋊C4.233D10φ: C4○D8/C4○D4 → C2 ⊆ Aut C10160C10.83(C4oD8)320,623
C10.84(C4○D8) = C20.76(C4⋊C4)φ: C4○D8/C4○D4 → C2 ⊆ Aut C10160C10.84(C4oD8)320,625
C10.85(C4○D8) = C4○D20⋊10C4φ: C4○D8/C4○D4 → C2 ⊆ Aut C10160C10.85(C4oD8)320,629
C10.86(C4○D8) = C4⋊C4.236D10φ: C4○D8/C4○D4 → C2 ⊆ Aut C10160C10.86(C4oD8)320,630
C10.87(C4○D8) = D4.3Dic10φ: C4○D8/C4○D4 → C2 ⊆ Aut C10160C10.87(C4oD8)320,636
C10.88(C4○D8) = C4×D4⋊D5φ: C4○D8/C4○D4 → C2 ⊆ Aut C10160C10.88(C4oD8)320,640
C10.89(C4○D8) = D4.1D20φ: C4○D8/C4○D4 → C2 ⊆ Aut C10160C10.89(C4oD8)320,643
C10.90(C4○D8) = C4×D4.D5φ: C4○D8/C4○D4 → C2 ⊆ Aut C10160C10.90(C4oD8)320,644
C10.91(C4○D8) = Q8.3Dic10φ: C4○D8/C4○D4 → C2 ⊆ Aut C10320C10.91(C4oD8)320,649
C10.92(C4○D8) = C4×Q8⋊D5φ: C4○D8/C4○D4 → C2 ⊆ Aut C10160C10.92(C4oD8)320,652
C10.93(C4○D8) = Q8.1D20φ: C4○D8/C4○D4 → C2 ⊆ Aut C10160C10.93(C4oD8)320,655
C10.94(C4○D8) = C4×C5⋊Q16φ: C4○D8/C4○D4 → C2 ⊆ Aut C10320C10.94(C4oD8)320,656
C10.95(C4○D8) = (C2×D4).D10φ: C4○D8/C4○D4 → C2 ⊆ Aut C10160C10.95(C4oD8)320,662
C10.96(C4○D8) = D20⋊17D4φ: C4○D8/C4○D4 → C2 ⊆ Aut C10160C10.96(C4oD8)320,664
C10.97(C4○D8) = (C2×C10)⋊D8φ: C4○D8/C4○D4 → C2 ⊆ Aut C10160C10.97(C4oD8)320,665
C10.98(C4○D8) = C5⋊2C8⋊23D4φ: C4○D8/C4○D4 → C2 ⊆ Aut C10160C10.98(C4oD8)320,668
C10.99(C4○D8) = C10.(C4○D8)φ: C4○D8/C4○D4 → C2 ⊆ Aut C10160C10.99(C4oD8)320,672
C10.100(C4○D8) = D20.37D4φ: C4○D8/C4○D4 → C2 ⊆ Aut C10160C10.100(C4oD8)320,674
C10.101(C4○D8) = C5⋊2C8⋊24D4φ: C4○D8/C4○D4 → C2 ⊆ Aut C10160C10.101(C4oD8)320,675
C10.102(C4○D8) = (C2×C10)⋊Q16φ: C4○D8/C4○D4 → C2 ⊆ Aut C10160C10.102(C4oD8)320,678
C10.103(C4○D8) = C42.61D10φ: C4○D8/C4○D4 → C2 ⊆ Aut C10160C10.103(C4oD8)320,681
C10.104(C4○D8) = C42.213D10φ: C4○D8/C4○D4 → C2 ⊆ Aut C10160C10.104(C4oD8)320,683
C10.105(C4○D8) = D20.23D4φ: C4○D8/C4○D4 → C2 ⊆ Aut C10160C10.105(C4oD8)320,684
C10.106(C4○D8) = C42.214D10φ: C4○D8/C4○D4 → C2 ⊆ Aut C10160C10.106(C4oD8)320,686
C10.107(C4○D8) = Dic10.4Q8φ: C4○D8/C4○D4 → C2 ⊆ Aut C10320C10.107(C4oD8)320,690
C10.108(C4○D8) = C42.215D10φ: C4○D8/C4○D4 → C2 ⊆ Aut C10320C10.108(C4oD8)320,691
C10.109(C4○D8) = D20.4Q8φ: C4○D8/C4○D4 → C2 ⊆ Aut C10160C10.109(C4oD8)320,693
C10.110(C4○D8) = C42.216D10φ: C4○D8/C4○D4 → C2 ⊆ Aut C10160C10.110(C4oD8)320,695
C10.111(C4○D8) = C20.(C2×D4)φ: C4○D8/C4○D4 → C2 ⊆ Aut C10160C10.111(C4oD8)320,860
C10.112(C4○D8) = (C5×D4)⋊14D4φ: C4○D8/C4○D4 → C2 ⊆ Aut C10160C10.112(C4oD8)320,865
C10.113(C4○D8) = (C5×D4).32D4φ: C4○D8/C4○D4 → C2 ⊆ Aut C10160C10.113(C4oD8)320,866
C10.114(C4○D8) = C5×C23.24D4central extension (φ=1)160C10.114(C4oD8)320,917
C10.115(C4○D8) = C5×C23.25D4central extension (φ=1)160C10.115(C4oD8)320,928
C10.116(C4○D8) = D8×C20central extension (φ=1)160C10.116(C4oD8)320,938
C10.117(C4○D8) = SD16×C20central extension (φ=1)160C10.117(C4oD8)320,939
C10.118(C4○D8) = Q16×C20central extension (φ=1)320C10.118(C4oD8)320,940
C10.119(C4○D8) = C5×D4⋊D4central extension (φ=1)160C10.119(C4oD8)320,950
C10.120(C4○D8) = C5×D4.7D4central extension (φ=1)160C10.120(C4oD8)320,953
C10.121(C4○D8) = C5×D4.2D4central extension (φ=1)160C10.121(C4oD8)320,964
C10.122(C4○D8) = C5×Q8.D4central extension (φ=1)160C10.122(C4oD8)320,965
C10.123(C4○D8) = C5×C8⋊8D4central extension (φ=1)160C10.123(C4oD8)320,966
C10.124(C4○D8) = C5×C8⋊7D4central extension (φ=1)160C10.124(C4oD8)320,967
C10.125(C4○D8) = C5×C8.18D4central extension (φ=1)160C10.125(C4oD8)320,968
C10.126(C4○D8) = C5×D4.Q8central extension (φ=1)160C10.126(C4oD8)320,979
C10.127(C4○D8) = C5×Q8.Q8central extension (φ=1)320C10.127(C4oD8)320,980
C10.128(C4○D8) = C5×C23.19D4central extension (φ=1)160C10.128(C4oD8)320,983
C10.129(C4○D8) = C5×C23.20D4central extension (φ=1)160C10.129(C4oD8)320,986
C10.130(C4○D8) = C5×C42.78C22central extension (φ=1)160C10.130(C4oD8)320,989
C10.131(C4○D8) = C5×C8.12D4central extension (φ=1)160C10.131(C4oD8)320,996
C10.132(C4○D8) = C5×C8.5Q8central extension (φ=1)320C10.132(C4oD8)320,1000

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