# Extensions 1→N→G→Q→1 with N=C10 and Q=C2×SD16

Direct product G=N×Q with N=C10 and Q=C2×SD16
dρLabelID
SD16×C2×C10160SD16xC2xC10320,1572

Semidirect products G=N:Q with N=C10 and Q=C2×SD16
extensionφ:Q→Aut NdρLabelID
C101(C2×SD16) = C22×C40⋊C2φ: C2×SD16/C2×C8C2 ⊆ Aut C10160C10:1(C2xSD16)320,1411
C102(C2×SD16) = C2×D5×SD16φ: C2×SD16/SD16C2 ⊆ Aut C1080C10:2(C2xSD16)320,1430
C103(C2×SD16) = C22×D4.D5φ: C2×SD16/C2×D4C2 ⊆ Aut C10160C10:3(C2xSD16)320,1466
C104(C2×SD16) = C22×Q8⋊D5φ: C2×SD16/C2×Q8C2 ⊆ Aut C10160C10:4(C2xSD16)320,1479

Non-split extensions G=N.Q with N=C10 and Q=C2×SD16
extensionφ:Q→Aut NdρLabelID
C10.1(C2×SD16) = C409Q8φ: C2×SD16/C2×C8C2 ⊆ Aut C10320C10.1(C2xSD16)320,307
C10.2(C2×SD16) = C20.14Q16φ: C2×SD16/C2×C8C2 ⊆ Aut C10320C10.2(C2xSD16)320,308
C10.3(C2×SD16) = C4×C40⋊C2φ: C2×SD16/C2×C8C2 ⊆ Aut C10160C10.3(C2xSD16)320,318
C10.4(C2×SD16) = C85D20φ: C2×SD16/C2×C8C2 ⊆ Aut C10160C10.4(C2xSD16)320,320
C10.5(C2×SD16) = C4.5D40φ: C2×SD16/C2×C8C2 ⊆ Aut C10160C10.5(C2xSD16)320,321
C10.6(C2×SD16) = C23.34D20φ: C2×SD16/C2×C8C2 ⊆ Aut C10160C10.6(C2xSD16)320,348
C10.7(C2×SD16) = D20.31D4φ: C2×SD16/C2×C8C2 ⊆ Aut C1080C10.7(C2xSD16)320,358
C10.8(C2×SD16) = C23.38D20φ: C2×SD16/C2×C8C2 ⊆ Aut C10160C10.8(C2xSD16)320,362
C10.9(C2×SD16) = Dic1014D4φ: C2×SD16/C2×C8C2 ⊆ Aut C10160C10.9(C2xSD16)320,365
C10.10(C2×SD16) = C20⋊SD16φ: C2×SD16/C2×C8C2 ⊆ Aut C10160C10.10(C2xSD16)320,468
C10.11(C2×SD16) = D203Q8φ: C2×SD16/C2×C8C2 ⊆ Aut C10160C10.11(C2xSD16)320,469
C10.12(C2×SD16) = Dic108D4φ: C2×SD16/C2×C8C2 ⊆ Aut C10160C10.12(C2xSD16)320,475
C10.13(C2×SD16) = Dic104Q8φ: C2×SD16/C2×C8C2 ⊆ Aut C10320C10.13(C2xSD16)320,478
C10.14(C2×SD16) = C2×C20.44D4φ: C2×SD16/C2×C8C2 ⊆ Aut C10320C10.14(C2xSD16)320,730
C10.15(C2×SD16) = C2×C406C4φ: C2×SD16/C2×C8C2 ⊆ Aut C10320C10.15(C2xSD16)320,731
C10.16(C2×SD16) = C2×D205C4φ: C2×SD16/C2×C8C2 ⊆ Aut C10160C10.16(C2xSD16)320,739
C10.17(C2×SD16) = C4030D4φ: C2×SD16/C2×C8C2 ⊆ Aut C10160C10.17(C2xSD16)320,741
C10.18(C2×SD16) = Dic56SD16φ: C2×SD16/SD16C2 ⊆ Aut C10160C10.18(C2xSD16)320,385
C10.19(C2×SD16) = Dic5.5D8φ: C2×SD16/SD16C2 ⊆ Aut C10160C10.19(C2xSD16)320,387
C10.20(C2×SD16) = D4⋊Dic10φ: C2×SD16/SD16C2 ⊆ Aut C10160C10.20(C2xSD16)320,388
C10.21(C2×SD16) = Dic102D4φ: C2×SD16/SD16C2 ⊆ Aut C10160C10.21(C2xSD16)320,389
C10.22(C2×SD16) = D5×D4⋊C4φ: C2×SD16/SD16C2 ⊆ Aut C1080C10.22(C2xSD16)320,396
C10.23(C2×SD16) = D20.8D4φ: C2×SD16/SD16C2 ⊆ Aut C1080C10.23(C2xSD16)320,403
C10.24(C2×SD16) = D10.16SD16φ: C2×SD16/SD16C2 ⊆ Aut C10160C10.24(C2xSD16)320,404
C10.25(C2×SD16) = D10⋊SD16φ: C2×SD16/SD16C2 ⊆ Aut C10160C10.25(C2xSD16)320,405
C10.26(C2×SD16) = Dic57SD16φ: C2×SD16/SD16C2 ⊆ Aut C10160C10.26(C2xSD16)320,415
C10.27(C2×SD16) = Q8⋊Dic10φ: C2×SD16/SD16C2 ⊆ Aut C10320C10.27(C2xSD16)320,418
C10.28(C2×SD16) = Dic5.3Q16φ: C2×SD16/SD16C2 ⊆ Aut C10320C10.28(C2xSD16)320,419
C10.29(C2×SD16) = D5×Q8⋊C4φ: C2×SD16/SD16C2 ⊆ Aut C10160C10.29(C2xSD16)320,428
C10.30(C2×SD16) = D10.11SD16φ: C2×SD16/SD16C2 ⊆ Aut C10160C10.30(C2xSD16)320,432
C10.31(C2×SD16) = Q82D20φ: C2×SD16/SD16C2 ⊆ Aut C10160C10.31(C2xSD16)320,433
C10.32(C2×SD16) = D102SD16φ: C2×SD16/SD16C2 ⊆ Aut C10160C10.32(C2xSD16)320,434
C10.33(C2×SD16) = Dic5⋊SD16φ: C2×SD16/SD16C2 ⊆ Aut C10160C10.33(C2xSD16)320,445
C10.34(C2×SD16) = Dic58SD16φ: C2×SD16/SD16C2 ⊆ Aut C10160C10.34(C2xSD16)320,479
C10.35(C2×SD16) = Dic10⋊Q8φ: C2×SD16/SD16C2 ⊆ Aut C10320C10.35(C2xSD16)320,481
C10.36(C2×SD16) = C405Q8φ: C2×SD16/SD16C2 ⊆ Aut C10320C10.36(C2xSD16)320,482
C10.37(C2×SD16) = D5×C4.Q8φ: C2×SD16/SD16C2 ⊆ Aut C10160C10.37(C2xSD16)320,486
C10.38(C2×SD16) = D10.12SD16φ: C2×SD16/SD16C2 ⊆ Aut C10160C10.38(C2xSD16)320,489
C10.39(C2×SD16) = D10.17SD16φ: C2×SD16/SD16C2 ⊆ Aut C10160C10.39(C2xSD16)320,490
C10.40(C2×SD16) = C88D20φ: C2×SD16/SD16C2 ⊆ Aut C10160C10.40(C2xSD16)320,491
C10.41(C2×SD16) = D20⋊Q8φ: C2×SD16/SD16C2 ⊆ Aut C10160C10.41(C2xSD16)320,497
C10.42(C2×SD16) = SD16×Dic5φ: C2×SD16/SD16C2 ⊆ Aut C10160C10.42(C2xSD16)320,788
C10.43(C2×SD16) = Dic53SD16φ: C2×SD16/SD16C2 ⊆ Aut C10160C10.43(C2xSD16)320,789
C10.44(C2×SD16) = Dic55SD16φ: C2×SD16/SD16C2 ⊆ Aut C10160C10.44(C2xSD16)320,790
C10.45(C2×SD16) = D106SD16φ: C2×SD16/SD16C2 ⊆ Aut C1080C10.45(C2xSD16)320,796
C10.46(C2×SD16) = D108SD16φ: C2×SD16/SD16C2 ⊆ Aut C10160C10.46(C2xSD16)320,797
C10.47(C2×SD16) = C4014D4φ: C2×SD16/SD16C2 ⊆ Aut C10160C10.47(C2xSD16)320,798
C10.48(C2×SD16) = C4015D4φ: C2×SD16/SD16C2 ⊆ Aut C10160C10.48(C2xSD16)320,802
C10.49(C2×SD16) = C2×C10.Q16φ: C2×SD16/C2×D4C2 ⊆ Aut C10320C10.49(C2xSD16)320,596
C10.50(C2×SD16) = C4⋊C4.231D10φ: C2×SD16/C2×D4C2 ⊆ Aut C10160C10.50(C2xSD16)320,598
C10.51(C2×SD16) = C20.38SD16φ: C2×SD16/C2×D4C2 ⊆ Aut C10160C10.51(C2xSD16)320,635
C10.52(C2×SD16) = C4×D4.D5φ: C2×SD16/C2×D4C2 ⊆ Aut C10160C10.52(C2xSD16)320,644
C10.53(C2×SD16) = D4.2D20φ: C2×SD16/C2×D4C2 ⊆ Aut C10160C10.53(C2xSD16)320,646
C10.54(C2×SD16) = C4⋊D4.D5φ: C2×SD16/C2×D4C2 ⊆ Aut C10160C10.54(C2xSD16)320,661
C10.55(C2×SD16) = Dic1017D4φ: C2×SD16/C2×D4C2 ⊆ Aut C10160C10.55(C2xSD16)320,667
C10.56(C2×SD16) = C52C823D4φ: C2×SD16/C2×D4C2 ⊆ Aut C10160C10.56(C2xSD16)320,668
C10.57(C2×SD16) = C20.16D8φ: C2×SD16/C2×D4C2 ⊆ Aut C10160C10.57(C2xSD16)320,697
C10.58(C2×SD16) = Dic109D4φ: C2×SD16/C2×D4C2 ⊆ Aut C10160C10.58(C2xSD16)320,702
C10.59(C2×SD16) = C204SD16φ: C2×SD16/C2×D4C2 ⊆ Aut C10160C10.59(C2xSD16)320,703
C10.60(C2×SD16) = C20.SD16φ: C2×SD16/C2×D4C2 ⊆ Aut C10320C10.60(C2xSD16)320,706
C10.61(C2×SD16) = C20.11Q16φ: C2×SD16/C2×D4C2 ⊆ Aut C10320C10.61(C2xSD16)320,720
C10.62(C2×SD16) = Dic106Q8φ: C2×SD16/C2×D4C2 ⊆ Aut C10320C10.62(C2xSD16)320,721
C10.63(C2×SD16) = C2×D4⋊Dic5φ: C2×SD16/C2×D4C2 ⊆ Aut C10160C10.63(C2xSD16)320,841
C10.64(C2×SD16) = (C5×D4).31D4φ: C2×SD16/C2×D4C2 ⊆ Aut C1080C10.64(C2xSD16)320,845
C10.65(C2×SD16) = C2×C20.Q8φ: C2×SD16/C2×Q8C2 ⊆ Aut C10320C10.65(C2xSD16)320,590
C10.66(C2×SD16) = C2×D206C4φ: C2×SD16/C2×Q8C2 ⊆ Aut C10160C10.66(C2xSD16)320,592
C10.67(C2×SD16) = C4⋊C4.228D10φ: C2×SD16/C2×Q8C2 ⊆ Aut C10160C10.67(C2xSD16)320,595
C10.68(C2×SD16) = C20.48SD16φ: C2×SD16/C2×Q8C2 ⊆ Aut C10320C10.68(C2xSD16)320,647
C10.69(C2×SD16) = C4×Q8⋊D5φ: C2×SD16/C2×Q8C2 ⊆ Aut C10160C10.69(C2xSD16)320,652
C10.70(C2×SD16) = Q8⋊D20φ: C2×SD16/C2×Q8C2 ⊆ Aut C10160C10.70(C2xSD16)320,654
C10.71(C2×SD16) = C22⋊Q8.D5φ: C2×SD16/C2×Q8C2 ⊆ Aut C10160C10.71(C2xSD16)320,670
C10.72(C2×SD16) = D20.36D4φ: C2×SD16/C2×Q8C2 ⊆ Aut C1080C10.72(C2xSD16)320,673
C10.73(C2×SD16) = C52C824D4φ: C2×SD16/C2×Q8C2 ⊆ Aut C10160C10.73(C2xSD16)320,675
C10.74(C2×SD16) = C20.Q16φ: C2×SD16/C2×Q8C2 ⊆ Aut C10320C10.74(C2xSD16)320,708
C10.75(C2×SD16) = C205SD16φ: C2×SD16/C2×Q8C2 ⊆ Aut C10160C10.75(C2xSD16)320,710
C10.76(C2×SD16) = D205Q8φ: C2×SD16/C2×Q8C2 ⊆ Aut C10160C10.76(C2xSD16)320,711
C10.77(C2×SD16) = C206SD16φ: C2×SD16/C2×Q8C2 ⊆ Aut C10160C10.77(C2xSD16)320,712
C10.78(C2×SD16) = C20.D8φ: C2×SD16/C2×Q8C2 ⊆ Aut C10160C10.78(C2xSD16)320,715
C10.79(C2×SD16) = C2×Q8⋊Dic5φ: C2×SD16/C2×Q8C2 ⊆ Aut C10320C10.79(C2xSD16)320,851
C10.80(C2×SD16) = (C5×Q8)⋊13D4φ: C2×SD16/C2×Q8C2 ⊆ Aut C10160C10.80(C2xSD16)320,854
C10.81(C2×SD16) = C10×D4⋊C4central extension (φ=1)160C10.81(C2xSD16)320,915
C10.82(C2×SD16) = C10×Q8⋊C4central extension (φ=1)320C10.82(C2xSD16)320,916
C10.83(C2×SD16) = C10×C4.Q8central extension (φ=1)320C10.83(C2xSD16)320,926
C10.84(C2×SD16) = SD16×C20central extension (φ=1)160C10.84(C2xSD16)320,939
C10.85(C2×SD16) = C5×Q8⋊D4central extension (φ=1)160C10.85(C2xSD16)320,949
C10.86(C2×SD16) = C5×C22⋊SD16central extension (φ=1)80C10.86(C2xSD16)320,951
C10.87(C2×SD16) = C5×C4⋊SD16central extension (φ=1)160C10.87(C2xSD16)320,961
C10.88(C2×SD16) = C5×D4.D4central extension (φ=1)160C10.88(C2xSD16)320,962
C10.89(C2×SD16) = C5×C88D4central extension (φ=1)160C10.89(C2xSD16)320,966
C10.90(C2×SD16) = C5×Q8⋊Q8central extension (φ=1)320C10.90(C2xSD16)320,976
C10.91(C2×SD16) = C5×D42Q8central extension (φ=1)160C10.91(C2xSD16)320,977
C10.92(C2×SD16) = C5×C23.46D4central extension (φ=1)160C10.92(C2xSD16)320,982
C10.93(C2×SD16) = C5×C23.47D4central extension (φ=1)160C10.93(C2xSD16)320,984
C10.94(C2×SD16) = C5×C4.4D8central extension (φ=1)160C10.94(C2xSD16)320,987
C10.95(C2×SD16) = C5×C4.SD16central extension (φ=1)320C10.95(C2xSD16)320,988
C10.96(C2×SD16) = C5×C85D4central extension (φ=1)160C10.96(C2xSD16)320,993
C10.97(C2×SD16) = C5×C83Q8central extension (φ=1)320C10.97(C2xSD16)320,999

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