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Extensions 1→N→G→Q→1 with N=C2×C4 and Q=C4×D5

Direct product G=N×Q with N=C2×C4 and Q=C4×D5
dρLabelID
D5×C2×C42160D5xC2xC4^2320,1143

Semidirect products G=N:Q with N=C2×C4 and Q=C4×D5
extensionφ:Q→Aut NdρLabelID
(C2×C4)⋊1(C4×D5) = D5×C23⋊C4φ: C4×D5/D5 → C4 ⊆ Aut C2×C4408+(C2xC4):1(C4xD5)320,370
(C2×C4)⋊2(C4×D5) = (C2×C4)⋊9D20φ: C4×D5/C10 → C22 ⊆ Aut C2×C4160(C2xC4):2(C4xD5)320,292
(C2×C4)⋊3(C4×D5) = D10⋊3(C4⋊C4)φ: C4×D5/C10 → C22 ⊆ Aut C2×C4160(C2xC4):3(C4xD5)320,295
(C2×C4)⋊4(C4×D5) = D10⋊5(C4⋊C4)φ: C4×D5/C10 → C22 ⊆ Aut C2×C4160(C2xC4):4(C4xD5)320,616
(C2×C4)⋊5(C4×D5) = C10.82+ 1+4φ: C4×D5/C10 → C22 ⊆ Aut C2×C4160(C2xC4):5(C4xD5)320,1176
(C2×C4)⋊6(C4×D5) = C42⋊7D10φ: C4×D5/C10 → C22 ⊆ Aut C2×C480(C2xC4):6(C4xD5)320,1193
(C2×C4)⋊7(C4×D5) = C42.91D10φ: C4×D5/C10 → C22 ⊆ Aut C2×C4160(C2xC4):7(C4xD5)320,1195
(C2×C4)⋊8(C4×D5) = D10⋊2C42φ: C4×D5/Dic5 → C2 ⊆ Aut C2×C4160(C2xC4):8(C4xD5)320,293
(C2×C4)⋊9(C4×D5) = C2×D20⋊8C4φ: C4×D5/Dic5 → C2 ⊆ Aut C2×C4160(C2xC4):9(C4xD5)320,1175
(C2×C4)⋊10(C4×D5) = C42.188D10φ: C4×D5/Dic5 → C2 ⊆ Aut C2×C4160(C2xC4):10(C4xD5)320,1194
(C2×C4)⋊11(C4×D5) = C4×D10⋊C4φ: C4×D5/C20 → C2 ⊆ Aut C2×C4160(C2xC4):11(C4xD5)320,565
(C2×C4)⋊12(C4×D5) = C2×C4×D20φ: C4×D5/C20 → C2 ⊆ Aut C2×C4160(C2xC4):12(C4xD5)320,1145
(C2×C4)⋊13(C4×D5) = C4×C4○D20φ: C4×D5/C20 → C2 ⊆ Aut C2×C4160(C2xC4):13(C4xD5)320,1146
(C2×C4)⋊14(C4×D5) = D5×C2.C42φ: C4×D5/D10 → C2 ⊆ Aut C2×C4160(C2xC4):14(C4xD5)320,290
(C2×C4)⋊15(C4×D5) = C2×D5×C4⋊C4φ: C4×D5/D10 → C2 ⊆ Aut C2×C4160(C2xC4):15(C4xD5)320,1173
(C2×C4)⋊16(C4×D5) = D5×C42⋊C2φ: C4×D5/D10 → C2 ⊆ Aut C2×C480(C2xC4):16(C4xD5)320,1192

Non-split extensions G=N.Q with N=C2×C4 and Q=C4×D5
extensionφ:Q→Aut NdρLabelID
(C2×C4).1(C4×D5) = C23.D20φ: C4×D5/D5 → C4 ⊆ Aut C2×C4808-(C2xC4).1(C4xD5)320,31
(C2×C4).2(C4×D5) = C23.2D20φ: C4×D5/D5 → C4 ⊆ Aut C2×C4408+(C2xC4).2(C4xD5)320,32
(C2×C4).3(C4×D5) = (C2×C4).D20φ: C4×D5/D5 → C4 ⊆ Aut C2×C4808+(C2xC4).3(C4xD5)320,35
(C2×C4).4(C4×D5) = (C2×Q8).D10φ: C4×D5/D5 → C4 ⊆ Aut C2×C4808-(C2xC4).4(C4xD5)320,36
(C2×C4).5(C4×D5) = C23⋊C4⋊5D5φ: C4×D5/D5 → C4 ⊆ Aut C2×C4808-(C2xC4).5(C4xD5)320,367
(C2×C4).6(C4×D5) = D5×C4.10D4φ: C4×D5/D5 → C4 ⊆ Aut C2×C4808-(C2xC4).6(C4xD5)320,377
(C2×C4).7(C4×D5) = M4(2).21D10φ: C4×D5/D5 → C4 ⊆ Aut C2×C4808+(C2xC4).7(C4xD5)320,378
(C2×C4).8(C4×D5) = (C2×D20)⋊C4φ: C4×D5/C10 → C22 ⊆ Aut C2×C480(C2xC4).8(C4xD5)320,9
(C2×C4).9(C4×D5) = C4⋊Dic5⋊C4φ: C4×D5/C10 → C22 ⊆ Aut C2×C480(C2xC4).9(C4xD5)320,10
(C2×C4).10(C4×D5) = C42.D10φ: C4×D5/C10 → C22 ⊆ Aut C2×C4160(C2xC4).10(C4xD5)320,22
(C2×C4).11(C4×D5) = C42.2D10φ: C4×D5/C10 → C22 ⊆ Aut C2×C4320(C2xC4).11(C4xD5)320,23
(C2×C4).12(C4×D5) = C23.30D20φ: C4×D5/C10 → C22 ⊆ Aut C2×C480(C2xC4).12(C4xD5)320,25
(C2×C4).13(C4×D5) = C22.2D40φ: C4×D5/C10 → C22 ⊆ Aut C2×C480(C2xC4).13(C4xD5)320,28
(C2×C4).14(C4×D5) = C4.Dic20φ: C4×D5/C10 → C22 ⊆ Aut C2×C4320(C2xC4).14(C4xD5)320,39
(C2×C4).15(C4×D5) = C20.47D8φ: C4×D5/C10 → C22 ⊆ Aut C2×C4320(C2xC4).15(C4xD5)320,40
(C2×C4).16(C4×D5) = C4.D40φ: C4×D5/C10 → C22 ⊆ Aut C2×C4160(C2xC4).16(C4xD5)320,43
(C2×C4).17(C4×D5) = C20.2D8φ: C4×D5/C10 → C22 ⊆ Aut C2×C4320(C2xC4).17(C4xD5)320,44
(C2×C4).18(C4×D5) = (C2×C20).Q8φ: C4×D5/C10 → C22 ⊆ Aut C2×C4160(C2xC4).18(C4xD5)320,88
(C2×C4).19(C4×D5) = C20.60(C4⋊C4)φ: C4×D5/C10 → C22 ⊆ Aut C2×C4804(C2xC4).19(C4xD5)320,91
(C2×C4).20(C4×D5) = M4(2)⋊Dic5φ: C4×D5/C10 → C22 ⊆ Aut C2×C4160(C2xC4).20(C4xD5)320,112
(C2×C4).21(C4×D5) = (C2×C40)⋊C4φ: C4×D5/C10 → C22 ⊆ Aut C2×C4804(C2xC4).21(C4xD5)320,114
(C2×C4).22(C4×D5) = (C2×C20)⋊Q8φ: C4×D5/C10 → C22 ⊆ Aut C2×C4320(C2xC4).22(C4xD5)320,273
(C2×C4).23(C4×D5) = C10.49(C4×D4)φ: C4×D5/C10 → C22 ⊆ Aut C2×C4320(C2xC4).23(C4xD5)320,274
(C2×C4).24(C4×D5) = C2.(C4×D20)φ: C4×D5/C10 → C22 ⊆ Aut C2×C4320(C2xC4).24(C4xD5)320,280
(C2×C4).25(C4×D5) = C4⋊Dic5⋊15C4φ: C4×D5/C10 → C22 ⊆ Aut C2×C4320(C2xC4).25(C4xD5)320,281
(C2×C4).26(C4×D5) = C10.52(C4×D4)φ: C4×D5/C10 → C22 ⊆ Aut C2×C4320(C2xC4).26(C4xD5)320,282
(C2×C4).27(C4×D5) = C10.55(C4×D4)φ: C4×D5/C10 → C22 ⊆ Aut C2×C4160(C2xC4).27(C4xD5)320,297
(C2×C4).28(C4×D5) = C40⋊Q8φ: C4×D5/C10 → C22 ⊆ Aut C2×C4320(C2xC4).28(C4xD5)320,328
(C2×C4).29(C4×D5) = C8⋊9D20φ: C4×D5/C10 → C22 ⊆ Aut C2×C4160(C2xC4).29(C4xD5)320,333
(C2×C4).30(C4×D5) = C40⋊8C4⋊C2φ: C4×D5/C10 → C22 ⊆ Aut C2×C4160(C2xC4).30(C4xD5)320,347
(C2×C4).31(C4×D5) = C22⋊C8⋊D5φ: C4×D5/C10 → C22 ⊆ Aut C2×C4160(C2xC4).31(C4xD5)320,354
(C2×C4).32(C4×D5) = D10⋊4M4(2)φ: C4×D5/C10 → C22 ⊆ Aut C2×C4160(C2xC4).32(C4xD5)320,355
(C2×C4).33(C4×D5) = Dic5⋊2M4(2)φ: C4×D5/C10 → C22 ⊆ Aut C2×C4160(C2xC4).33(C4xD5)320,356
(C2×C4).34(C4×D5) = Dic5.5M4(2)φ: C4×D5/C10 → C22 ⊆ Aut C2×C4320(C2xC4).34(C4xD5)320,455
(C2×C4).35(C4×D5) = D10⋊5M4(2)φ: C4×D5/C10 → C22 ⊆ Aut C2×C4160(C2xC4).35(C4xD5)320,463
(C2×C4).36(C4×D5) = C42.30D10φ: C4×D5/C10 → C22 ⊆ Aut C2×C4160(C2xC4).36(C4xD5)320,466
(C2×C4).37(C4×D5) = C42.31D10φ: C4×D5/C10 → C22 ⊆ Aut C2×C4160(C2xC4).37(C4xD5)320,467
(C2×C4).38(C4×D5) = C20.47(C4⋊C4)φ: C4×D5/C10 → C22 ⊆ Aut C2×C4160(C2xC4).38(C4xD5)320,591
(C2×C4).39(C4×D5) = C4○D20⋊9C4φ: C4×D5/C10 → C22 ⊆ Aut C2×C4160(C2xC4).39(C4xD5)320,593
(C2×C4).40(C4×D5) = C10.96(C4×D4)φ: C4×D5/C10 → C22 ⊆ Aut C2×C4320(C2xC4).40(C4xD5)320,599
(C2×C4).41(C4×D5) = C10.97(C4×D4)φ: C4×D5/C10 → C22 ⊆ Aut C2×C4320(C2xC4).41(C4xD5)320,605
(C2×C4).42(C4×D5) = C10.90(C4×D4)φ: C4×D5/C10 → C22 ⊆ Aut C2×C4160(C2xC4).42(C4xD5)320,617
(C2×C4).43(C4×D5) = C20.64(C4⋊C4)φ: C4×D5/C10 → C22 ⊆ Aut C2×C4160(C2xC4).43(C4xD5)320,622
(C2×C4).44(C4×D5) = C4⋊C4⋊36D10φ: C4×D5/C10 → C22 ⊆ Aut C2×C480(C2xC4).44(C4xD5)320,628
(C2×C4).45(C4×D5) = C4.(C2×D20)φ: C4×D5/C10 → C22 ⊆ Aut C2×C4160(C2xC4).45(C4xD5)320,631
(C2×C4).46(C4×D5) = C42⋊4D10φ: C4×D5/C10 → C22 ⊆ Aut C2×C4804(C2xC4).46(C4xD5)320,632
(C2×C4).47(C4×D5) = (C2×D20)⋊25C4φ: C4×D5/C10 → C22 ⊆ Aut C2×C4804(C2xC4).47(C4xD5)320,633
(C2×C4).48(C4×D5) = C23.46D20φ: C4×D5/C10 → C22 ⊆ Aut C2×C4160(C2xC4).48(C4xD5)320,747
(C2×C4).49(C4×D5) = C23.Dic10φ: C4×D5/C10 → C22 ⊆ Aut C2×C4804(C2xC4).49(C4xD5)320,751
(C2×C4).50(C4×D5) = C40⋊D4φ: C4×D5/C10 → C22 ⊆ Aut C2×C4160(C2xC4).50(C4xD5)320,754
(C2×C4).51(C4×D5) = C40⋊18D4φ: C4×D5/C10 → C22 ⊆ Aut C2×C4160(C2xC4).51(C4xD5)320,755
(C2×C4).52(C4×D5) = C2×C20.46D4φ: C4×D5/C10 → C22 ⊆ Aut C2×C480(C2xC4).52(C4xD5)320,757
(C2×C4).53(C4×D5) = C23.48D20φ: C4×D5/C10 → C22 ⊆ Aut C2×C480(C2xC4).53(C4xD5)320,758
(C2×C4).54(C4×D5) = C23.49D20φ: C4×D5/C10 → C22 ⊆ Aut C2×C4160(C2xC4).54(C4xD5)320,760
(C2×C4).55(C4×D5) = C2×C4.12D20φ: C4×D5/C10 → C22 ⊆ Aut C2×C4160(C2xC4).55(C4xD5)320,763
(C2×C4).56(C4×D5) = C23.20D20φ: C4×D5/C10 → C22 ⊆ Aut C2×C4804(C2xC4).56(C4xD5)320,766
(C2×C4).57(C4×D5) = C42.87D10φ: C4×D5/C10 → C22 ⊆ Aut C2×C4160(C2xC4).57(C4xD5)320,1188
(C2×C4).58(C4×D5) = C40.47C23φ: C4×D5/C10 → C22 ⊆ Aut C2×C4804(C2xC4).58(C4xD5)320,1417
(C2×C4).59(C4×D5) = C10.51(C4×D4)φ: C4×D5/Dic5 → C2 ⊆ Aut C2×C4320(C2xC4).59(C4xD5)320,279
(C2×C4).60(C4×D5) = C10.54(C4×D4)φ: C4×D5/Dic5 → C2 ⊆ Aut C2×C4160(C2xC4).60(C4xD5)320,296
(C2×C4).61(C4×D5) = D10.7C42φ: C4×D5/Dic5 → C2 ⊆ Aut C2×C4160(C2xC4).61(C4xD5)320,335
(C2×C4).62(C4×D5) = C42.185D10φ: C4×D5/Dic5 → C2 ⊆ Aut C2×C4160(C2xC4).62(C4xD5)320,336
(C2×C4).63(C4×D5) = C5⋊5(C8×D4)φ: C4×D5/Dic5 → C2 ⊆ Aut C2×C4160(C2xC4).63(C4xD5)320,352
(C2×C4).64(C4×D5) = C5⋊2C8⋊26D4φ: C4×D5/Dic5 → C2 ⊆ Aut C2×C4160(C2xC4).64(C4xD5)320,357
(C2×C4).65(C4×D5) = D20⋊4C8φ: C4×D5/Dic5 → C2 ⊆ Aut C2×C4160(C2xC4).65(C4xD5)320,41
(C2×C4).66(C4×D5) = Dic10⋊4C8φ: C4×D5/Dic5 → C2 ⊆ Aut C2×C4320(C2xC4).66(C4xD5)320,42
(C2×C4).67(C4×D5) = D20.4C8φ: C4×D5/Dic5 → C2 ⊆ Aut C2×C41604(C2xC4).67(C4xD5)320,73
(C2×C4).68(C4×D5) = C20.32C42φ: C4×D5/Dic5 → C2 ⊆ Aut C2×C480(C2xC4).68(C4xD5)320,90
(C2×C4).69(C4×D5) = C20.33C42φ: C4×D5/Dic5 → C2 ⊆ Aut C2×C480(C2xC4).69(C4xD5)320,113
(C2×C4).70(C4×D5) = Dic10⋊5C8φ: C4×D5/Dic5 → C2 ⊆ Aut C2×C4320(C2xC4).70(C4xD5)320,457
(C2×C4).71(C4×D5) = C42.198D10φ: C4×D5/Dic5 → C2 ⊆ Aut C2×C4320(C2xC4).71(C4xD5)320,458
(C2×C4).72(C4×D5) = D20⋊5C8φ: C4×D5/Dic5 → C2 ⊆ Aut C2×C4160(C2xC4).72(C4xD5)320,461
(C2×C4).73(C4×D5) = C20⋊6M4(2)φ: C4×D5/Dic5 → C2 ⊆ Aut C2×C4160(C2xC4).73(C4xD5)320,465
(C2×C4).74(C4×D5) = D20.5C8φ: C4×D5/Dic5 → C2 ⊆ Aut C2×C41604(C2xC4).74(C4xD5)320,534
(C2×C4).75(C4×D5) = C2×D20⋊6C4φ: C4×D5/Dic5 → C2 ⊆ Aut C2×C4160(C2xC4).75(C4xD5)320,592
(C2×C4).76(C4×D5) = C2×C10.Q16φ: C4×D5/Dic5 → C2 ⊆ Aut C2×C4320(C2xC4).76(C4xD5)320,596
(C2×C4).77(C4×D5) = C20⋊4(C4⋊C4)φ: C4×D5/Dic5 → C2 ⊆ Aut C2×C4320(C2xC4).77(C4xD5)320,600
(C2×C4).78(C4×D5) = (C2×Dic5)⋊6Q8φ: C4×D5/Dic5 → C2 ⊆ Aut C2×C4320(C2xC4).78(C4xD5)320,601
(C2×C4).79(C4×D5) = (C2×D20)⋊22C4φ: C4×D5/Dic5 → C2 ⊆ Aut C2×C4160(C2xC4).79(C4xD5)320,615
(C2×C4).80(C4×D5) = C20.35C42φ: C4×D5/Dic5 → C2 ⊆ Aut C2×C4160(C2xC4).80(C4xD5)320,624
(C2×C4).81(C4×D5) = C4○D20⋊10C4φ: C4×D5/Dic5 → C2 ⊆ Aut C2×C4160(C2xC4).81(C4xD5)320,629
(C2×C4).82(C4×D5) = C20.51(C4⋊C4)φ: C4×D5/Dic5 → C2 ⊆ Aut C2×C4160(C2xC4).82(C4xD5)320,746
(C2×C4).83(C4×D5) = C20.37C42φ: C4×D5/Dic5 → C2 ⊆ Aut C2×C4160(C2xC4).83(C4xD5)320,749
(C2×C4).84(C4×D5) = C4.89(C2×D20)φ: C4×D5/Dic5 → C2 ⊆ Aut C2×C4160(C2xC4).84(C4xD5)320,756
(C2×C4).85(C4×D5) = C2×D20⋊7C4φ: C4×D5/Dic5 → C2 ⊆ Aut C2×C480(C2xC4).85(C4xD5)320,765
(C2×C4).86(C4×D5) = C2×Dic5⋊3Q8φ: C4×D5/Dic5 → C2 ⊆ Aut C2×C4320(C2xC4).86(C4xD5)320,1168
(C2×C4).87(C4×D5) = C2×D20.2C4φ: C4×D5/Dic5 → C2 ⊆ Aut C2×C4160(C2xC4).87(C4xD5)320,1416
(C2×C4).88(C4×D5) = D10.5C42φ: C4×D5/C20 → C2 ⊆ Aut C2×C4160(C2xC4).88(C4xD5)320,316
(C2×C4).89(C4×D5) = C42.243D10φ: C4×D5/C20 → C2 ⊆ Aut C2×C4160(C2xC4).89(C4xD5)320,317
(C2×C4).90(C4×D5) = C4×C10.D4φ: C4×D5/C20 → C2 ⊆ Aut C2×C4320(C2xC4).90(C4xD5)320,558
(C2×C4).91(C4×D5) = C10.92(C4×D4)φ: C4×D5/C20 → C2 ⊆ Aut C2×C4320(C2xC4).91(C4xD5)320,560
(C2×C4).92(C4×D5) = (C2×C42)⋊D5φ: C4×D5/C20 → C2 ⊆ Aut C2×C4160(C2xC4).92(C4xD5)320,567
(C2×C4).93(C4×D5) = C8×C5⋊D4φ: C4×D5/C20 → C2 ⊆ Aut C2×C4160(C2xC4).93(C4xD5)320,736
(C2×C4).94(C4×D5) = C40⋊32D4φ: C4×D5/C20 → C2 ⊆ Aut C2×C4160(C2xC4).94(C4xD5)320,738
(C2×C4).95(C4×D5) = Dic10⋊3C8φ: C4×D5/C20 → C2 ⊆ Aut C2×C4320(C2xC4).95(C4xD5)320,14
(C2×C4).96(C4×D5) = D20⋊3C8φ: C4×D5/C20 → C2 ⊆ Aut C2×C4160(C2xC4).96(C4xD5)320,17
(C2×C4).97(C4×D5) = D20.3C8φ: C4×D5/C20 → C2 ⊆ Aut C2×C41602(C2xC4).97(C4xD5)320,66
(C2×C4).98(C4×D5) = C42⋊6Dic5φ: C4×D5/C20 → C2 ⊆ Aut C2×C480(C2xC4).98(C4xD5)320,81
(C2×C4).99(C4×D5) = C20.39C42φ: C4×D5/C20 → C2 ⊆ Aut C2×C4320(C2xC4).99(C4xD5)320,109
(C2×C4).100(C4×D5) = C20.40C42φ: C4×D5/C20 → C2 ⊆ Aut C2×C4160(C2xC4).100(C4xD5)320,110
(C2×C4).101(C4×D5) = C8×Dic10φ: C4×D5/C20 → C2 ⊆ Aut C2×C4320(C2xC4).101(C4xD5)320,305
(C2×C4).102(C4×D5) = C40⋊11Q8φ: C4×D5/C20 → C2 ⊆ Aut C2×C4320(C2xC4).102(C4xD5)320,306
(C2×C4).103(C4×D5) = C8×D20φ: C4×D5/C20 → C2 ⊆ Aut C2×C4160(C2xC4).103(C4xD5)320,313
(C2×C4).104(C4×D5) = C8⋊6D20φ: C4×D5/C20 → C2 ⊆ Aut C2×C4160(C2xC4).104(C4xD5)320,315
(C2×C4).105(C4×D5) = D20.6C8φ: C4×D5/C20 → C2 ⊆ Aut C2×C41602(C2xC4).105(C4xD5)320,528
(C2×C4).106(C4×D5) = C4×C4.Dic5φ: C4×D5/C20 → C2 ⊆ Aut C2×C4160(C2xC4).106(C4xD5)320,549
(C2×C4).107(C4×D5) = C2×D20⋊4C4φ: C4×D5/C20 → C2 ⊆ Aut C2×C480(C2xC4).107(C4xD5)320,554
(C2×C4).108(C4×D5) = C20⋊7(C4⋊C4)φ: C4×D5/C20 → C2 ⊆ Aut C2×C4320(C2xC4).108(C4xD5)320,555
(C2×C4).109(C4×D5) = (C2×C20)⋊10Q8φ: C4×D5/C20 → C2 ⊆ Aut C2×C4320(C2xC4).109(C4xD5)320,556
(C2×C4).110(C4×D5) = C4×C4⋊Dic5φ: C4×D5/C20 → C2 ⊆ Aut C2×C4320(C2xC4).110(C4xD5)320,561
(C2×C4).111(C4×D5) = (C2×C4)⋊6D20φ: C4×D5/C20 → C2 ⊆ Aut C2×C4160(C2xC4).111(C4xD5)320,566
(C2×C4).112(C4×D5) = C20.42C42φ: C4×D5/C20 → C2 ⊆ Aut C2×C4160(C2xC4).112(C4xD5)320,728
(C2×C4).113(C4×D5) = C20.65(C4⋊C4)φ: C4×D5/C20 → C2 ⊆ Aut C2×C4160(C2xC4).113(C4xD5)320,729
(C2×C4).114(C4×D5) = C2×C20.44D4φ: C4×D5/C20 → C2 ⊆ Aut C2×C4320(C2xC4).114(C4xD5)320,730
(C2×C4).115(C4×D5) = (C22×C8)⋊D5φ: C4×D5/C20 → C2 ⊆ Aut C2×C4160(C2xC4).115(C4xD5)320,737
(C2×C4).116(C4×D5) = C2×D20⋊5C4φ: C4×D5/C20 → C2 ⊆ Aut C2×C4160(C2xC4).116(C4xD5)320,739
(C2×C4).117(C4×D5) = C23.23D20φ: C4×D5/C20 → C2 ⊆ Aut C2×C4160(C2xC4).117(C4xD5)320,740
(C2×C4).118(C4×D5) = C2×C4×Dic10φ: C4×D5/C20 → C2 ⊆ Aut C2×C4320(C2xC4).118(C4xD5)320,1139
(C2×C4).119(C4×D5) = C2×D20.3C4φ: C4×D5/C20 → C2 ⊆ Aut C2×C4160(C2xC4).119(C4xD5)320,1410
(C2×C4).120(C4×D5) = Dic5.15C42φ: C4×D5/D10 → C2 ⊆ Aut C2×C4320(C2xC4).120(C4xD5)320,275
(C2×C4).121(C4×D5) = Dic5⋊2C42φ: C4×D5/D10 → C2 ⊆ Aut C2×C4320(C2xC4).121(C4xD5)320,276
(C2×C4).122(C4×D5) = C5⋊2(C42⋊8C4)φ: C4×D5/D10 → C2 ⊆ Aut C2×C4320(C2xC4).122(C4xD5)320,277
(C2×C4).123(C4×D5) = C5⋊2(C42⋊5C4)φ: C4×D5/D10 → C2 ⊆ Aut C2×C4320(C2xC4).123(C4xD5)320,278
(C2×C4).124(C4×D5) = C22.58(D4×D5)φ: C4×D5/D10 → C2 ⊆ Aut C2×C4160(C2xC4).124(C4xD5)320,291
(C2×C4).125(C4×D5) = D10⋊2(C4⋊C4)φ: C4×D5/D10 → C2 ⊆ Aut C2×C4160(C2xC4).125(C4xD5)320,294
(C2×C4).126(C4×D5) = D5×C8⋊C4φ: C4×D5/D10 → C2 ⊆ Aut C2×C4160(C2xC4).126(C4xD5)320,331
(C2×C4).127(C4×D5) = C42.182D10φ: C4×D5/D10 → C2 ⊆ Aut C2×C4160(C2xC4).127(C4xD5)320,332
(C2×C4).128(C4×D5) = D10.6C42φ: C4×D5/D10 → C2 ⊆ Aut C2×C4160(C2xC4).128(C4xD5)320,334
(C2×C4).129(C4×D5) = Dic5.14M4(2)φ: C4×D5/D10 → C2 ⊆ Aut C2×C4160(C2xC4).129(C4xD5)320,345
(C2×C4).130(C4×D5) = Dic5.9M4(2)φ: C4×D5/D10 → C2 ⊆ Aut C2×C4160(C2xC4).130(C4xD5)320,346
(C2×C4).131(C4×D5) = D5×C22⋊C8φ: C4×D5/D10 → C2 ⊆ Aut C2×C480(C2xC4).131(C4xD5)320,351
(C2×C4).132(C4×D5) = D10⋊7M4(2)φ: C4×D5/D10 → C2 ⊆ Aut C2×C480(C2xC4).132(C4xD5)320,353
(C2×C4).133(C4×D5) = C20.53D8φ: C4×D5/D10 → C2 ⊆ Aut C2×C4320(C2xC4).133(C4xD5)320,37
(C2×C4).134(C4×D5) = C20.39SD16φ: C4×D5/D10 → C2 ⊆ Aut C2×C4320(C2xC4).134(C4xD5)320,38
(C2×C4).135(C4×D5) = C40.9Q8φ: C4×D5/D10 → C2 ⊆ Aut C2×C4804(C2xC4).135(C4xD5)320,69
(C2×C4).136(C4×D5) = C80⋊C4φ: C4×D5/D10 → C2 ⊆ Aut C2×C4804(C2xC4).136(C4xD5)320,70
(C2×C4).137(C4×D5) = C8.25D20φ: C4×D5/D10 → C2 ⊆ Aut C2×C4804(C2xC4).137(C4xD5)320,72
(C2×C4).138(C4×D5) = C20.31C42φ: C4×D5/D10 → C2 ⊆ Aut C2×C4320(C2xC4).138(C4xD5)320,87
(C2×C4).139(C4×D5) = C42⋊1Dic5φ: C4×D5/D10 → C2 ⊆ Aut C2×C4804(C2xC4).139(C4xD5)320,89
(C2×C4).140(C4×D5) = C23.9D20φ: C4×D5/D10 → C2 ⊆ Aut C2×C4804(C2xC4).140(C4xD5)320,115
(C2×C4).141(C4×D5) = C20.34C42φ: C4×D5/D10 → C2 ⊆ Aut C2×C4160(C2xC4).141(C4xD5)320,116
(C2×C4).142(C4×D5) = M4(2)⋊4Dic5φ: C4×D5/D10 → C2 ⊆ Aut C2×C4804(C2xC4).142(C4xD5)320,117
(C2×C4).143(C4×D5) = C20.51C42φ: C4×D5/D10 → C2 ⊆ Aut C2×C4804(C2xC4).143(C4xD5)320,118
(C2×C4).144(C4×D5) = D5×C4⋊C8φ: C4×D5/D10 → C2 ⊆ Aut C2×C4160(C2xC4).144(C4xD5)320,459
(C2×C4).145(C4×D5) = C42.200D10φ: C4×D5/D10 → C2 ⊆ Aut C2×C4160(C2xC4).145(C4xD5)320,460
(C2×C4).146(C4×D5) = C42.202D10φ: C4×D5/D10 → C2 ⊆ Aut C2×C4160(C2xC4).146(C4xD5)320,462
(C2×C4).147(C4×D5) = C20⋊5M4(2)φ: C4×D5/D10 → C2 ⊆ Aut C2×C4160(C2xC4).147(C4xD5)320,464
(C2×C4).148(C4×D5) = D5×M5(2)φ: C4×D5/D10 → C2 ⊆ Aut C2×C4804(C2xC4).148(C4xD5)320,533
(C2×C4).149(C4×D5) = C2×C10.D8φ: C4×D5/D10 → C2 ⊆ Aut C2×C4320(C2xC4).149(C4xD5)320,589
(C2×C4).150(C4×D5) = C2×C20.Q8φ: C4×D5/D10 → C2 ⊆ Aut C2×C4320(C2xC4).150(C4xD5)320,590
(C2×C4).151(C4×D5) = C4⋊C4×Dic5φ: C4×D5/D10 → C2 ⊆ Aut C2×C4320(C2xC4).151(C4xD5)320,602
(C2×C4).152(C4×D5) = C20⋊5(C4⋊C4)φ: C4×D5/D10 → C2 ⊆ Aut C2×C4320(C2xC4).152(C4xD5)320,603
(C2×C4).153(C4×D5) = C20.48(C4⋊C4)φ: C4×D5/D10 → C2 ⊆ Aut C2×C4320(C2xC4).153(C4xD5)320,604
(C2×C4).154(C4×D5) = D10⋊4(C4⋊C4)φ: C4×D5/D10 → C2 ⊆ Aut C2×C4160(C2xC4).154(C4xD5)320,614
(C2×C4).155(C4×D5) = C20.76(C4⋊C4)φ: C4×D5/D10 → C2 ⊆ Aut C2×C4160(C2xC4).155(C4xD5)320,625
(C2×C4).156(C4×D5) = M4(2)×Dic5φ: C4×D5/D10 → C2 ⊆ Aut C2×C4160(C2xC4).156(C4xD5)320,744
(C2×C4).157(C4×D5) = Dic5⋊5M4(2)φ: C4×D5/D10 → C2 ⊆ Aut C2×C4160(C2xC4).157(C4xD5)320,745
(C2×C4).158(C4×D5) = C2×C20.53D4φ: C4×D5/D10 → C2 ⊆ Aut C2×C4160(C2xC4).158(C4xD5)320,750
(C2×C4).159(C4×D5) = D10⋊8M4(2)φ: C4×D5/D10 → C2 ⊆ Aut C2×C480(C2xC4).159(C4xD5)320,753
(C2×C4).160(C4×D5) = M4(2).31D10φ: C4×D5/D10 → C2 ⊆ Aut C2×C4804(C2xC4).160(C4xD5)320,759
(C2×C4).161(C4×D5) = C2×C4⋊C4⋊7D5φ: C4×D5/D10 → C2 ⊆ Aut C2×C4160(C2xC4).161(C4xD5)320,1174
(C2×C4).162(C4×D5) = C2×D5×M4(2)φ: C4×D5/D10 → C2 ⊆ Aut C2×C480(C2xC4).162(C4xD5)320,1415
(C2×C4).163(C4×D5) = C8×C5⋊2C8central extension (φ=1)320(C2xC4).163(C4xD5)320,11
(C2×C4).164(C4×D5) = C42.279D10central extension (φ=1)320(C2xC4).164(C4xD5)320,12
(C2×C4).165(C4×D5) = C40⋊8C8central extension (φ=1)320(C2xC4).165(C4xD5)320,13
(C2×C4).166(C4×D5) = C16×Dic5central extension (φ=1)320(C2xC4).166(C4xD5)320,58
(C2×C4).167(C4×D5) = C40.88D4central extension (φ=1)320(C2xC4).167(C4xD5)320,59
(C2×C4).168(C4×D5) = C80⋊17C4central extension (φ=1)320(C2xC4).168(C4xD5)320,60
(C2×C4).169(C4×D5) = D10⋊1C16central extension (φ=1)160(C2xC4).169(C4xD5)320,65
(C2×C4).170(C4×D5) = (C2×C20)⋊8C8central extension (φ=1)320(C2xC4).170(C4xD5)320,82
(C2×C4).171(C4×D5) = (C2×C40)⋊15C4central extension (φ=1)320(C2xC4).171(C4xD5)320,108
(C2×C4).172(C4×D5) = D5×C4×C8central extension (φ=1)160(C2xC4).172(C4xD5)320,311
(C2×C4).173(C4×D5) = C42.282D10central extension (φ=1)160(C2xC4).173(C4xD5)320,312
(C2×C4).174(C4×D5) = C4×C8⋊D5central extension (φ=1)160(C2xC4).174(C4xD5)320,314
(C2×C4).175(C4×D5) = D5×C2×C16central extension (φ=1)160(C2xC4).175(C4xD5)320,526
(C2×C4).176(C4×D5) = C2×C80⋊C2central extension (φ=1)160(C2xC4).176(C4xD5)320,527
(C2×C4).177(C4×D5) = C2×C4×C5⋊2C8central extension (φ=1)320(C2xC4).177(C4xD5)320,547
(C2×C4).178(C4×D5) = C2×C42.D5central extension (φ=1)320(C2xC4).178(C4xD5)320,548
(C2×C4).179(C4×D5) = C42×Dic5central extension (φ=1)320(C2xC4).179(C4xD5)320,557
(C2×C4).180(C4×D5) = C42⋊4Dic5central extension (φ=1)320(C2xC4).180(C4xD5)320,559
(C2×C4).181(C4×D5) = C2×C8×Dic5central extension (φ=1)320(C2xC4).181(C4xD5)320,725
(C2×C4).182(C4×D5) = C2×C20.8Q8central extension (φ=1)320(C2xC4).182(C4xD5)320,726
(C2×C4).183(C4×D5) = C2×C40⋊8C4central extension (φ=1)320(C2xC4).183(C4xD5)320,727
(C2×C4).184(C4×D5) = C2×D10⋊1C8central extension (φ=1)160(C2xC4).184(C4xD5)320,735
(C2×C4).185(C4×D5) = C2×C42⋊D5central extension (φ=1)160(C2xC4).185(C4xD5)320,1144
(C2×C4).186(C4×D5) = D5×C22×C8central extension (φ=1)160(C2xC4).186(C4xD5)320,1408
(C2×C4).187(C4×D5) = C22×C8⋊D5central extension (φ=1)160(C2xC4).187(C4xD5)320,1409

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