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Extensions 1→N→G→Q→1 with N=C10 and Q=C2×D8

Direct product G=N×Q with N=C10 and Q=C2×D8
dρLabelID
D8×C2×C10160D8xC2xC10320,1571

Semidirect products G=N:Q with N=C10 and Q=C2×D8
extensionφ:Q→Aut NdρLabelID
C10⋊1(C2×D8) = C22×D40φ: C2×D8/C2×C8 → C2 ⊆ Aut C10160C10:1(C2xD8)320,1412
C10⋊2(C2×D8) = C2×D5×D8φ: C2×D8/D8 → C2 ⊆ Aut C1080C10:2(C2xD8)320,1426
C10⋊3(C2×D8) = C22×D4⋊D5φ: C2×D8/C2×D4 → C2 ⊆ Aut C10160C10:3(C2xD8)320,1464

Non-split extensions G=N.Q with N=C10 and Q=C2×D8
extensionφ:Q→Aut NdρLabelID
C10.1(C2×D8) = C40⋊8Q8φ: C2×D8/C2×C8 → C2 ⊆ Aut C10320C10.1(C2xD8)320,309
C10.2(C2×D8) = C4×D40φ: C2×D8/C2×C8 → C2 ⊆ Aut C10160C10.2(C2xD8)320,319
C10.3(C2×D8) = C4.5D40φ: C2×D8/C2×C8 → C2 ⊆ Aut C10160C10.3(C2xD8)320,321
C10.4(C2×D8) = C20⋊4D8φ: C2×D8/C2×C8 → C2 ⊆ Aut C10160C10.4(C2xD8)320,322
C10.5(C2×D8) = D20⋊13D4φ: C2×D8/C2×C8 → C2 ⊆ Aut C1080C10.5(C2xD8)320,359
C10.6(C2×D8) = C22.D40φ: C2×D8/C2×C8 → C2 ⊆ Aut C10160C10.6(C2xD8)320,363
C10.7(C2×D8) = C4⋊D40φ: C2×D8/C2×C8 → C2 ⊆ Aut C10160C10.7(C2xD8)320,470
C10.8(C2×D8) = D20⋊4Q8φ: C2×D8/C2×C8 → C2 ⊆ Aut C10160C10.8(C2xD8)320,473
C10.9(C2×D8) = C2×D80φ: C2×D8/C2×C8 → C2 ⊆ Aut C10160C10.9(C2xD8)320,529
C10.10(C2×D8) = C2×C16⋊D5φ: C2×D8/C2×C8 → C2 ⊆ Aut C10160C10.10(C2xD8)320,530
C10.11(C2×D8) = D80⋊7C2φ: C2×D8/C2×C8 → C2 ⊆ Aut C101602C10.11(C2xD8)320,531
C10.12(C2×D8) = C2×Dic40φ: C2×D8/C2×C8 → C2 ⊆ Aut C10320C10.12(C2xD8)320,532
C10.13(C2×D8) = D80⋊C2φ: C2×D8/C2×C8 → C2 ⊆ Aut C10804+C10.13(C2xD8)320,535
C10.14(C2×D8) = C16.D10φ: C2×D8/C2×C8 → C2 ⊆ Aut C101604-C10.14(C2xD8)320,536
C10.15(C2×D8) = C2×C40⋊5C4φ: C2×D8/C2×C8 → C2 ⊆ Aut C10320C10.15(C2xD8)320,732
C10.16(C2×D8) = C2×D20⋊5C4φ: C2×D8/C2×C8 → C2 ⊆ Aut C10160C10.16(C2xD8)320,739
C10.17(C2×D8) = C40⋊29D4φ: C2×D8/C2×C8 → C2 ⊆ Aut C10160C10.17(C2xD8)320,742
C10.18(C2×D8) = Dic5⋊4D8φ: C2×D8/D8 → C2 ⊆ Aut C10160C10.18(C2xD8)320,383
C10.19(C2×D8) = Dic5.14D8φ: C2×D8/D8 → C2 ⊆ Aut C10160C10.19(C2xD8)320,386
C10.20(C2×D8) = Dic5.5D8φ: C2×D8/D8 → C2 ⊆ Aut C10160C10.20(C2xD8)320,387
C10.21(C2×D8) = D5×D4⋊C4φ: C2×D8/D8 → C2 ⊆ Aut C1080C10.21(C2xD8)320,396
C10.22(C2×D8) = D4⋊D20φ: C2×D8/D8 → C2 ⊆ Aut C1080C10.22(C2xD8)320,400
C10.23(C2×D8) = D10.12D8φ: C2×D8/D8 → C2 ⊆ Aut C10160C10.23(C2xD8)320,401
C10.24(C2×D8) = D10⋊D8φ: C2×D8/D8 → C2 ⊆ Aut C10160C10.24(C2xD8)320,402
C10.25(C2×D8) = D20⋊3D4φ: C2×D8/D8 → C2 ⊆ Aut C10160C10.25(C2xD8)320,413
C10.26(C2×D8) = D40⋊12C4φ: C2×D8/D8 → C2 ⊆ Aut C10160C10.26(C2xD8)320,499
C10.27(C2×D8) = C40⋊2Q8φ: C2×D8/D8 → C2 ⊆ Aut C10320C10.27(C2xD8)320,501
C10.28(C2×D8) = D5×C2.D8φ: C2×D8/D8 → C2 ⊆ Aut C10160C10.28(C2xD8)320,506
C10.29(C2×D8) = D10.13D8φ: C2×D8/D8 → C2 ⊆ Aut C10160C10.29(C2xD8)320,509
C10.30(C2×D8) = C8⋊7D20φ: C2×D8/D8 → C2 ⊆ Aut C10160C10.30(C2xD8)320,510
C10.31(C2×D8) = D20⋊2Q8φ: C2×D8/D8 → C2 ⊆ Aut C10160C10.31(C2xD8)320,517
C10.32(C2×D8) = D5×D16φ: C2×D8/D8 → C2 ⊆ Aut C10804+C10.32(C2xD8)320,537
C10.33(C2×D8) = D16⋊D5φ: C2×D8/D8 → C2 ⊆ Aut C10804C10.33(C2xD8)320,538
C10.34(C2×D8) = D16⋊3D5φ: C2×D8/D8 → C2 ⊆ Aut C101604-C10.34(C2xD8)320,539
C10.35(C2×D8) = D5×SD32φ: C2×D8/D8 → C2 ⊆ Aut C10804C10.35(C2xD8)320,540
C10.36(C2×D8) = C16⋊D10φ: C2×D8/D8 → C2 ⊆ Aut C10804+C10.36(C2xD8)320,541
C10.37(C2×D8) = SD32⋊D5φ: C2×D8/D8 → C2 ⊆ Aut C101604-C10.37(C2xD8)320,542
C10.38(C2×D8) = SD32⋊3D5φ: C2×D8/D8 → C2 ⊆ Aut C101604C10.38(C2xD8)320,543
C10.39(C2×D8) = D5×Q32φ: C2×D8/D8 → C2 ⊆ Aut C101604-C10.39(C2xD8)320,544
C10.40(C2×D8) = Q32⋊D5φ: C2×D8/D8 → C2 ⊆ Aut C101604C10.40(C2xD8)320,545
C10.41(C2×D8) = D80⋊5C2φ: C2×D8/D8 → C2 ⊆ Aut C101604+C10.41(C2xD8)320,546
C10.42(C2×D8) = D8×Dic5φ: C2×D8/D8 → C2 ⊆ Aut C10160C10.42(C2xD8)320,776
C10.43(C2×D8) = Dic5⋊D8φ: C2×D8/D8 → C2 ⊆ Aut C10160C10.43(C2xD8)320,777
C10.44(C2×D8) = C40⋊5D4φ: C2×D8/D8 → C2 ⊆ Aut C10160C10.44(C2xD8)320,778
C10.45(C2×D8) = D20⋊D4φ: C2×D8/D8 → C2 ⊆ Aut C1080C10.45(C2xD8)320,783
C10.46(C2×D8) = C40⋊6D4φ: C2×D8/D8 → C2 ⊆ Aut C10160C10.46(C2xD8)320,784
C10.47(C2×D8) = C2×C10.D8φ: C2×D8/C2×D4 → C2 ⊆ Aut C10320C10.47(C2xD8)320,589
C10.48(C2×D8) = C2×D20⋊6C4φ: C2×D8/C2×D4 → C2 ⊆ Aut C10160C10.48(C2xD8)320,592
C10.49(C2×D8) = (C2×C10).40D8φ: C2×D8/C2×D4 → C2 ⊆ Aut C10160C10.49(C2xD8)320,594
C10.50(C2×D8) = C20.50D8φ: C2×D8/C2×D4 → C2 ⊆ Aut C10160C10.50(C2xD8)320,634
C10.51(C2×D8) = C4×D4⋊D5φ: C2×D8/C2×D4 → C2 ⊆ Aut C10160C10.51(C2xD8)320,640
C10.52(C2×D8) = C20⋊7D8φ: C2×D8/C2×D4 → C2 ⊆ Aut C10160C10.52(C2xD8)320,642
C10.53(C2×D8) = (C2×C10).D8φ: C2×D8/C2×D4 → C2 ⊆ Aut C10160C10.53(C2xD8)320,660
C10.54(C2×D8) = D20⋊16D4φ: C2×D8/C2×D4 → C2 ⊆ Aut C1080C10.54(C2xD8)320,663
C10.55(C2×D8) = (C2×C10)⋊D8φ: C2×D8/C2×D4 → C2 ⊆ Aut C10160C10.55(C2xD8)320,665
C10.56(C2×D8) = C20.16D8φ: C2×D8/C2×D4 → C2 ⊆ Aut C10160C10.56(C2xD8)320,697
C10.57(C2×D8) = C20⋊2D8φ: C2×D8/C2×D4 → C2 ⊆ Aut C10160C10.57(C2xD8)320,699
C10.58(C2×D8) = C20⋊D8φ: C2×D8/C2×D4 → C2 ⊆ Aut C10160C10.58(C2xD8)320,700
C10.59(C2×D8) = C20.17D8φ: C2×D8/C2×D4 → C2 ⊆ Aut C10320C10.59(C2xD8)320,705
C10.60(C2×D8) = D20⋊6Q8φ: C2×D8/C2×D4 → C2 ⊆ Aut C10160C10.60(C2xD8)320,714
C10.61(C2×D8) = C20.D8φ: C2×D8/C2×D4 → C2 ⊆ Aut C10160C10.61(C2xD8)320,715
C10.62(C2×D8) = C2×C5⋊D16φ: C2×D8/C2×D4 → C2 ⊆ Aut C10160C10.62(C2xD8)320,773
C10.63(C2×D8) = D8.D10φ: C2×D8/C2×D4 → C2 ⊆ Aut C10804C10.63(C2xD8)320,774
C10.64(C2×D8) = C2×D8.D5φ: C2×D8/C2×D4 → C2 ⊆ Aut C10160C10.64(C2xD8)320,775
C10.65(C2×D8) = C2×C5⋊SD32φ: C2×D8/C2×D4 → C2 ⊆ Aut C10160C10.65(C2xD8)320,805
C10.66(C2×D8) = Q16.D10φ: C2×D8/C2×D4 → C2 ⊆ Aut C101604C10.66(C2xD8)320,806
C10.67(C2×D8) = C2×C5⋊Q32φ: C2×D8/C2×D4 → C2 ⊆ Aut C10320C10.67(C2xD8)320,807
C10.68(C2×D8) = D8⋊D10φ: C2×D8/C2×D4 → C2 ⊆ Aut C10804+C10.68(C2xD8)320,820
C10.69(C2×D8) = C40.30C23φ: C2×D8/C2×D4 → C2 ⊆ Aut C101604C10.69(C2xD8)320,821
C10.70(C2×D8) = C40.31C23φ: C2×D8/C2×D4 → C2 ⊆ Aut C101604-C10.70(C2xD8)320,822
C10.71(C2×D8) = C2×D4⋊Dic5φ: C2×D8/C2×D4 → C2 ⊆ Aut C10160C10.71(C2xD8)320,841
C10.72(C2×D8) = (C2×C10)⋊8D8φ: C2×D8/C2×D4 → C2 ⊆ Aut C1080C10.72(C2xD8)320,844
C10.73(C2×D8) = C10×D4⋊C4central extension (φ=1)160C10.73(C2xD8)320,915
C10.74(C2×D8) = C10×C2.D8central extension (φ=1)320C10.74(C2xD8)320,927
C10.75(C2×D8) = D8×C20central extension (φ=1)160C10.75(C2xD8)320,938
C10.76(C2×D8) = C5×C22⋊D8central extension (φ=1)80C10.76(C2xD8)320,948
C10.77(C2×D8) = C5×C4⋊D8central extension (φ=1)160C10.77(C2xD8)320,960
C10.78(C2×D8) = C5×C8⋊7D4central extension (φ=1)160C10.78(C2xD8)320,967
C10.79(C2×D8) = C5×D4⋊Q8central extension (φ=1)160C10.79(C2xD8)320,975
C10.80(C2×D8) = C5×C22.D8central extension (φ=1)160C10.80(C2xD8)320,981
C10.81(C2×D8) = C5×C4.4D8central extension (φ=1)160C10.81(C2xD8)320,987
C10.82(C2×D8) = C5×C8⋊4D4central extension (φ=1)160C10.82(C2xD8)320,994
C10.83(C2×D8) = C5×C8⋊2Q8central extension (φ=1)320C10.83(C2xD8)320,1001
C10.84(C2×D8) = C10×D16central extension (φ=1)160C10.84(C2xD8)320,1006
C10.85(C2×D8) = C10×SD32central extension (φ=1)160C10.85(C2xD8)320,1007
C10.86(C2×D8) = C10×Q32central extension (φ=1)320C10.86(C2xD8)320,1008
C10.87(C2×D8) = C5×C4○D16central extension (φ=1)1602C10.87(C2xD8)320,1009
C10.88(C2×D8) = C5×C16⋊C22central extension (φ=1)804C10.88(C2xD8)320,1010
C10.89(C2×D8) = C5×Q32⋊C2central extension (φ=1)1604C10.89(C2xD8)320,1011

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