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Extensions 1→N→G→Q→1 with N=C2×C10 and Q=C4○D4

Direct product G=N×Q with N=C2×C10 and Q=C4○D4
dρLabelID
C4○D4×C2×C10160C4oD4xC2xC10320,1631

Semidirect products G=N:Q with N=C2×C10 and Q=C4○D4
extensionφ:Q→Aut NdρLabelID
(C2×C10)⋊1(C4○D4) = C42⋊12D10φ: C4○D4/C4 → C22 ⊆ Aut C2×C1080(C2xC10):1(C4oD4)320,1219
(C2×C10)⋊2(C4○D4) = D20⋊23D4φ: C4○D4/C4 → C22 ⊆ Aut C2×C1080(C2xC10):2(C4oD4)320,1222
(C2×C10)⋊3(C4○D4) = Dic10⋊23D4φ: C4○D4/C4 → C22 ⊆ Aut C2×C10160(C2xC10):3(C4oD4)320,1224
(C2×C10)⋊4(C4○D4) = Dic10⋊19D4φ: C4○D4/C4 → C22 ⊆ Aut C2×C10160(C2xC10):4(C4oD4)320,1270
(C2×C10)⋊5(C4○D4) = C4⋊C4⋊21D10φ: C4○D4/C4 → C22 ⊆ Aut C2×C1080(C2xC10):5(C4oD4)320,1278
(C2×C10)⋊6(C4○D4) = C4⋊C4⋊26D10φ: C4○D4/C4 → C22 ⊆ Aut C2×C1080(C2xC10):6(C4oD4)320,1299
(C2×C10)⋊7(C4○D4) = D20⋊21D4φ: C4○D4/C4 → C22 ⊆ Aut C2×C1080(C2xC10):7(C4oD4)320,1302
(C2×C10)⋊8(C4○D4) = C24.27D10φ: C4○D4/C22 → C22 ⊆ Aut C2×C1080(C2xC10):8(C4oD4)320,1162
(C2×C10)⋊9(C4○D4) = C24.56D10φ: C4○D4/C22 → C22 ⊆ Aut C2×C1080(C2xC10):9(C4oD4)320,1258
(C2×C10)⋊10(C4○D4) = C24.33D10φ: C4○D4/C22 → C22 ⊆ Aut C2×C1080(C2xC10):10(C4oD4)320,1263
(C2×C10)⋊11(C4○D4) = C5×C22.19C24φ: C4○D4/C2×C4 → C2 ⊆ Aut C2×C1080(C2xC10):11(C4oD4)320,1527
(C2×C10)⋊12(C4○D4) = C24.72D10φ: C4○D4/C2×C4 → C2 ⊆ Aut C2×C1080(C2xC10):12(C4oD4)320,1463
(C2×C10)⋊13(C4○D4) = C22×C4○D20φ: C4○D4/C2×C4 → C2 ⊆ Aut C2×C10160(C2xC10):13(C4oD4)320,1611
(C2×C10)⋊14(C4○D4) = C5×D4⋊5D4φ: C4○D4/D4 → C2 ⊆ Aut C2×C1080(C2xC10):14(C4oD4)320,1548
(C2×C10)⋊15(C4○D4) = C24.42D10φ: C4○D4/D4 → C2 ⊆ Aut C2×C1080(C2xC10):15(C4oD4)320,1478
(C2×C10)⋊16(C4○D4) = C22×D4⋊2D5φ: C4○D4/D4 → C2 ⊆ Aut C2×C10160(C2xC10):16(C4oD4)320,1613
(C2×C10)⋊17(C4○D4) = C5×Q8⋊5D4φ: C4○D4/Q8 → C2 ⊆ Aut C2×C10160(C2xC10):17(C4oD4)320,1550
(C2×C10)⋊18(C4○D4) = C10.452- 1+4φ: C4○D4/Q8 → C2 ⊆ Aut C2×C10160(C2xC10):18(C4oD4)320,1489
(C2×C10)⋊19(C4○D4) = C22×Q8⋊2D5φ: C4○D4/Q8 → C2 ⊆ Aut C2×C10160(C2xC10):19(C4oD4)320,1616

Non-split extensions G=N.Q with N=C2×C10 and Q=C4○D4
extensionφ:Q→Aut NdρLabelID
(C2×C10).1(C4○D4) = D40⋊16C4φ: C4○D4/C4 → C22 ⊆ Aut C2×C10804(C2xC10).1(C4oD4)320,521
(C2×C10).2(C4○D4) = D40⋊13C4φ: C4○D4/C4 → C22 ⊆ Aut C2×C10804(C2xC10).2(C4oD4)320,522
(C2×C10).3(C4○D4) = C8.20D20φ: C4○D4/C4 → C22 ⊆ Aut C2×C101604-(C2xC10).3(C4oD4)320,523
(C2×C10).4(C4○D4) = C8.21D20φ: C4○D4/C4 → C22 ⊆ Aut C2×C10804+(C2xC10).4(C4oD4)320,524
(C2×C10).5(C4○D4) = C8.24D20φ: C4○D4/C4 → C22 ⊆ Aut C2×C10804(C2xC10).5(C4oD4)320,525
(C2×C10).6(C4○D4) = D4.3D20φ: C4○D4/C4 → C22 ⊆ Aut C2×C10804(C2xC10).6(C4oD4)320,768
(C2×C10).7(C4○D4) = D4.4D20φ: C4○D4/C4 → C22 ⊆ Aut C2×C10804+(C2xC10).7(C4oD4)320,769
(C2×C10).8(C4○D4) = D4.5D20φ: C4○D4/C4 → C22 ⊆ Aut C2×C101604-(C2xC10).8(C4oD4)320,770
(C2×C10).9(C4○D4) = C40.93D4φ: C4○D4/C4 → C22 ⊆ Aut C2×C10804(C2xC10).9(C4oD4)320,771
(C2×C10).10(C4○D4) = C40.50D4φ: C4○D4/C4 → C22 ⊆ Aut C2×C10804(C2xC10).10(C4oD4)320,772
(C2×C10).11(C4○D4) = D8⋊5Dic5φ: C4○D4/C4 → C22 ⊆ Aut C2×C10804(C2xC10).11(C4oD4)320,823
(C2×C10).12(C4○D4) = D8⋊4Dic5φ: C4○D4/C4 → C22 ⊆ Aut C2×C10804(C2xC10).12(C4oD4)320,824
(C2×C10).13(C4○D4) = C42.102D10φ: C4○D4/C4 → C22 ⊆ Aut C2×C10160(C2xC10).13(C4oD4)320,1210
(C2×C10).14(C4○D4) = C42.104D10φ: C4○D4/C4 → C22 ⊆ Aut C2×C10160(C2xC10).14(C4oD4)320,1212
(C2×C10).15(C4○D4) = C42.105D10φ: C4○D4/C4 → C22 ⊆ Aut C2×C10160(C2xC10).15(C4oD4)320,1213
(C2×C10).16(C4○D4) = C42⋊16D10φ: C4○D4/C4 → C22 ⊆ Aut C2×C1080(C2xC10).16(C4oD4)320,1228
(C2×C10).17(C4○D4) = C42⋊17D10φ: C4○D4/C4 → C22 ⊆ Aut C2×C1080(C2xC10).17(C4oD4)320,1232
(C2×C10).18(C4○D4) = C42.118D10φ: C4○D4/C4 → C22 ⊆ Aut C2×C10160(C2xC10).18(C4oD4)320,1236
(C2×C10).19(C4○D4) = C42.119D10φ: C4○D4/C4 → C22 ⊆ Aut C2×C10160(C2xC10).19(C4oD4)320,1237
(C2×C10).20(C4○D4) = C4⋊C4.178D10φ: C4○D4/C4 → C22 ⊆ Aut C2×C10160(C2xC10).20(C4oD4)320,1272
(C2×C10).21(C4○D4) = C10.342+ 1+4φ: C4○D4/C4 → C22 ⊆ Aut C2×C10160(C2xC10).21(C4oD4)320,1273
(C2×C10).22(C4○D4) = C10.352+ 1+4φ: C4○D4/C4 → C22 ⊆ Aut C2×C10160(C2xC10).22(C4oD4)320,1274
(C2×C10).23(C4○D4) = C10.462+ 1+4φ: C4○D4/C4 → C22 ⊆ Aut C2×C1080(C2xC10).23(C4oD4)320,1289
(C2×C10).24(C4○D4) = C10.1152+ 1+4φ: C4○D4/C4 → C22 ⊆ Aut C2×C10160(C2xC10).24(C4oD4)320,1290
(C2×C10).25(C4○D4) = C22⋊Q8⋊25D5φ: C4○D4/C4 → C22 ⊆ Aut C2×C10160(C2xC10).25(C4oD4)320,1296
(C2×C10).26(C4○D4) = C10.532+ 1+4φ: C4○D4/C4 → C22 ⊆ Aut C2×C1080(C2xC10).26(C4oD4)320,1309
(C2×C10).27(C4○D4) = C10.772- 1+4φ: C4○D4/C4 → C22 ⊆ Aut C2×C10160(C2xC10).27(C4oD4)320,1314
(C2×C10).28(C4○D4) = C10.562+ 1+4φ: C4○D4/C4 → C22 ⊆ Aut C2×C1080(C2xC10).28(C4oD4)320,1316
(C2×C10).29(C4○D4) = C10.572+ 1+4φ: C4○D4/C4 → C22 ⊆ Aut C2×C10160(C2xC10).29(C4oD4)320,1317
(C2×C10).30(C4○D4) = D20.2D4φ: C4○D4/C22 → C22 ⊆ Aut C2×C10808-(C2xC10).30(C4oD4)320,375
(C2×C10).31(C4○D4) = D20.3D4φ: C4○D4/C22 → C22 ⊆ Aut C2×C10808+(C2xC10).31(C4oD4)320,376
(C2×C10).32(C4○D4) = D20.6D4φ: C4○D4/C22 → C22 ⊆ Aut C2×C10808+(C2xC10).32(C4oD4)320,381
(C2×C10).33(C4○D4) = D20.7D4φ: C4○D4/C22 → C22 ⊆ Aut C2×C101608-(C2xC10).33(C4oD4)320,382
(C2×C10).34(C4○D4) = M4(2).22D10φ: C4○D4/C22 → C22 ⊆ Aut C2×C10804(C2xC10).34(C4oD4)320,450
(C2×C10).35(C4○D4) = C42.196D10φ: C4○D4/C22 → C22 ⊆ Aut C2×C10804(C2xC10).35(C4oD4)320,451
(C2×C10).36(C4○D4) = M4(2).D10φ: C4○D4/C22 → C22 ⊆ Aut C2×C10808+(C2xC10).36(C4oD4)320,826
(C2×C10).37(C4○D4) = M4(2).13D10φ: C4○D4/C22 → C22 ⊆ Aut C2×C10808-(C2xC10).37(C4oD4)320,827
(C2×C10).38(C4○D4) = M4(2).15D10φ: C4○D4/C22 → C22 ⊆ Aut C2×C10808+(C2xC10).38(C4oD4)320,830
(C2×C10).39(C4○D4) = M4(2).16D10φ: C4○D4/C22 → C22 ⊆ Aut C2×C101608-(C2xC10).39(C4oD4)320,831
(C2×C10).40(C4○D4) = C24.31D10φ: C4○D4/C22 → C22 ⊆ Aut C2×C1080(C2xC10).40(C4oD4)320,1167
(C2×C10).41(C4○D4) = C42⋊10D10φ: C4○D4/C22 → C22 ⊆ Aut C2×C1080(C2xC10).41(C4oD4)320,1199
(C2×C10).42(C4○D4) = C42.96D10φ: C4○D4/C22 → C22 ⊆ Aut C2×C10160(C2xC10).42(C4oD4)320,1203
(C2×C10).43(C4○D4) = C24.32D10φ: C4○D4/C22 → C22 ⊆ Aut C2×C1080(C2xC10).43(C4oD4)320,1259
(C2×C10).44(C4○D4) = C24.35D10φ: C4○D4/C22 → C22 ⊆ Aut C2×C1080(C2xC10).44(C4oD4)320,1265
(C2×C10).45(C4○D4) = C4⋊C4.197D10φ: C4○D4/C22 → C22 ⊆ Aut C2×C10160(C2xC10).45(C4oD4)320,1321
(C2×C10).46(C4○D4) = C10.802- 1+4φ: C4○D4/C22 → C22 ⊆ Aut C2×C10160(C2xC10).46(C4oD4)320,1322
(C2×C10).47(C4○D4) = C10.1222+ 1+4φ: C4○D4/C22 → C22 ⊆ Aut C2×C1080(C2xC10).47(C4oD4)320,1330
(C2×C10).48(C4○D4) = C10.852- 1+4φ: C4○D4/C22 → C22 ⊆ Aut C2×C10160(C2xC10).48(C4oD4)320,1337
(C2×C10).49(C4○D4) = C5×C8○D8φ: C4○D4/C2×C4 → C2 ⊆ Aut C2×C10802(C2xC10).49(C4oD4)320,944
(C2×C10).50(C4○D4) = C5×C8.26D4φ: C4○D4/C2×C4 → C2 ⊆ Aut C2×C10804(C2xC10).50(C4oD4)320,945
(C2×C10).51(C4○D4) = C5×C23.36C23φ: C4○D4/C2×C4 → C2 ⊆ Aut C2×C10160(C2xC10).51(C4oD4)320,1531
(C2×C10).52(C4○D4) = C5×C22.32C24φ: C4○D4/C2×C4 → C2 ⊆ Aut C2×C1080(C2xC10).52(C4oD4)320,1540
(C2×C10).53(C4○D4) = C5×C22.33C24φ: C4○D4/C2×C4 → C2 ⊆ Aut C2×C10160(C2xC10).53(C4oD4)320,1541
(C2×C10).54(C4○D4) = C5⋊2(C42⋊8C4)φ: C4○D4/C2×C4 → C2 ⊆ Aut C2×C10320(C2xC10).54(C4oD4)320,277
(C2×C10).55(C4○D4) = C10.51(C4×D4)φ: C4○D4/C2×C4 → C2 ⊆ Aut C2×C10320(C2xC10).55(C4oD4)320,279
(C2×C10).56(C4○D4) = C10.52(C4×D4)φ: C4○D4/C2×C4 → C2 ⊆ Aut C2×C10320(C2xC10).56(C4oD4)320,282
(C2×C10).57(C4○D4) = C2.(C20⋊Q8)φ: C4○D4/C2×C4 → C2 ⊆ Aut C2×C10320(C2xC10).57(C4oD4)320,284
(C2×C10).58(C4○D4) = D10⋊2(C4⋊C4)φ: C4○D4/C2×C4 → C2 ⊆ Aut C2×C10160(C2xC10).58(C4oD4)320,294
(C2×C10).59(C4○D4) = (C2×Dic5)⋊3D4φ: C4○D4/C2×C4 → C2 ⊆ Aut C2×C10160(C2xC10).59(C4oD4)320,299
(C2×C10).60(C4○D4) = (C2×C4).20D20φ: C4○D4/C2×C4 → C2 ⊆ Aut C2×C10160(C2xC10).60(C4oD4)320,300
(C2×C10).61(C4○D4) = (C22×D5).Q8φ: C4○D4/C2×C4 → C2 ⊆ Aut C2×C10160(C2xC10).61(C4oD4)320,303
(C2×C10).62(C4○D4) = D40⋊17C4φ: C4○D4/C2×C4 → C2 ⊆ Aut C2×C10802(C2xC10).62(C4oD4)320,327
(C2×C10).63(C4○D4) = D40⋊10C4φ: C4○D4/C2×C4 → C2 ⊆ Aut C2×C10804(C2xC10).63(C4oD4)320,344
(C2×C10).64(C4○D4) = C20⋊7(C4⋊C4)φ: C4○D4/C2×C4 → C2 ⊆ Aut C2×C10320(C2xC10).64(C4oD4)320,555
(C2×C10).65(C4○D4) = (C2×C20)⋊10Q8φ: C4○D4/C2×C4 → C2 ⊆ Aut C2×C10320(C2xC10).65(C4oD4)320,556
(C2×C10).66(C4○D4) = C4×C10.D4φ: C4○D4/C2×C4 → C2 ⊆ Aut C2×C10320(C2xC10).66(C4oD4)320,558
(C2×C10).67(C4○D4) = C42⋊4Dic5φ: C4○D4/C2×C4 → C2 ⊆ Aut C2×C10320(C2xC10).67(C4oD4)320,559
(C2×C10).68(C4○D4) = C10.92(C4×D4)φ: C4○D4/C2×C4 → C2 ⊆ Aut C2×C10320(C2xC10).68(C4oD4)320,560
(C2×C10).69(C4○D4) = C4×C4⋊Dic5φ: C4○D4/C2×C4 → C2 ⊆ Aut C2×C10320(C2xC10).69(C4oD4)320,561
(C2×C10).70(C4○D4) = C42⋊9Dic5φ: C4○D4/C2×C4 → C2 ⊆ Aut C2×C10320(C2xC10).70(C4oD4)320,563
(C2×C10).71(C4○D4) = C42⋊5Dic5φ: C4○D4/C2×C4 → C2 ⊆ Aut C2×C10320(C2xC10).71(C4oD4)320,564
(C2×C10).72(C4○D4) = C4×D10⋊C4φ: C4○D4/C2×C4 → C2 ⊆ Aut C2×C10160(C2xC10).72(C4oD4)320,565
(C2×C10).73(C4○D4) = (C2×C4)⋊6D20φ: C4○D4/C2×C4 → C2 ⊆ Aut C2×C10160(C2xC10).73(C4oD4)320,566
(C2×C10).74(C4○D4) = (C2×C42)⋊D5φ: C4○D4/C2×C4 → C2 ⊆ Aut C2×C10160(C2xC10).74(C4oD4)320,567
(C2×C10).75(C4○D4) = C24.4D10φ: C4○D4/C2×C4 → C2 ⊆ Aut C2×C10160(C2xC10).75(C4oD4)320,572
(C2×C10).76(C4○D4) = C23⋊Dic10φ: C4○D4/C2×C4 → C2 ⊆ Aut C2×C10160(C2xC10).76(C4oD4)320,574
(C2×C10).77(C4○D4) = C24.6D10φ: C4○D4/C2×C4 → C2 ⊆ Aut C2×C10160(C2xC10).77(C4oD4)320,575
(C2×C10).78(C4○D4) = C24.7D10φ: C4○D4/C2×C4 → C2 ⊆ Aut C2×C10160(C2xC10).78(C4oD4)320,576
(C2×C10).79(C4○D4) = C24.8D10φ: C4○D4/C2×C4 → C2 ⊆ Aut C2×C10160(C2xC10).79(C4oD4)320,578
(C2×C10).80(C4○D4) = C23⋊2D20φ: C4○D4/C2×C4 → C2 ⊆ Aut C2×C10160(C2xC10).80(C4oD4)320,587
(C2×C10).81(C4○D4) = C24.16D10φ: C4○D4/C2×C4 → C2 ⊆ Aut C2×C10160(C2xC10).81(C4oD4)320,588
(C2×C10).82(C4○D4) = (C2×C4)⋊Dic10φ: C4○D4/C2×C4 → C2 ⊆ Aut C2×C10320(C2xC10).82(C4oD4)320,606
(C2×C10).83(C4○D4) = C4⋊C4⋊5Dic5φ: C4○D4/C2×C4 → C2 ⊆ Aut C2×C10320(C2xC10).83(C4oD4)320,608
(C2×C10).84(C4○D4) = (C2×C20).53D4φ: C4○D4/C2×C4 → C2 ⊆ Aut C2×C10320(C2xC10).84(C4oD4)320,610
(C2×C10).85(C4○D4) = (C2×C20).54D4φ: C4○D4/C2×C4 → C2 ⊆ Aut C2×C10320(C2xC10).85(C4oD4)320,611
(C2×C10).86(C4○D4) = (C2×C4)⋊3D20φ: C4○D4/C2×C4 → C2 ⊆ Aut C2×C10160(C2xC10).86(C4oD4)320,618
(C2×C10).87(C4○D4) = (C2×C20).56D4φ: C4○D4/C2×C4 → C2 ⊆ Aut C2×C10160(C2xC10).87(C4oD4)320,621
(C2×C10).88(C4○D4) = C4×C23.D5φ: C4○D4/C2×C4 → C2 ⊆ Aut C2×C10160(C2xC10).88(C4oD4)320,836
(C2×C10).89(C4○D4) = C24.62D10φ: C4○D4/C2×C4 → C2 ⊆ Aut C2×C10160(C2xC10).89(C4oD4)320,837
(C2×C10).90(C4○D4) = C24.63D10φ: C4○D4/C2×C4 → C2 ⊆ Aut C2×C10160(C2xC10).90(C4oD4)320,838
(C2×C10).91(C4○D4) = C24.64D10φ: C4○D4/C2×C4 → C2 ⊆ Aut C2×C10160(C2xC10).91(C4oD4)320,839
(C2×C10).92(C4○D4) = C24.65D10φ: C4○D4/C2×C4 → C2 ⊆ Aut C2×C10160(C2xC10).92(C4oD4)320,840
(C2×C10).93(C4○D4) = C2×C4×Dic10φ: C4○D4/C2×C4 → C2 ⊆ Aut C2×C10320(C2xC10).93(C4oD4)320,1139
(C2×C10).94(C4○D4) = C2×C20.6Q8φ: C4○D4/C2×C4 → C2 ⊆ Aut C2×C10320(C2xC10).94(C4oD4)320,1141
(C2×C10).95(C4○D4) = C2×C42⋊D5φ: C4○D4/C2×C4 → C2 ⊆ Aut C2×C10160(C2xC10).95(C4oD4)320,1144
(C2×C10).96(C4○D4) = C2×C4×D20φ: C4○D4/C2×C4 → C2 ⊆ Aut C2×C10160(C2xC10).96(C4oD4)320,1145
(C2×C10).97(C4○D4) = C2×C4.D20φ: C4○D4/C2×C4 → C2 ⊆ Aut C2×C10160(C2xC10).97(C4oD4)320,1148
(C2×C10).98(C4○D4) = C2×C42⋊2D5φ: C4○D4/C2×C4 → C2 ⊆ Aut C2×C10160(C2xC10).98(C4oD4)320,1150
(C2×C10).99(C4○D4) = C42.277D10φ: C4○D4/C2×C4 → C2 ⊆ Aut C2×C10160(C2xC10).99(C4oD4)320,1151
(C2×C10).100(C4○D4) = C2×C23.D10φ: C4○D4/C2×C4 → C2 ⊆ Aut C2×C10160(C2xC10).100(C4oD4)320,1154
(C2×C10).101(C4○D4) = C2×D10.12D4φ: C4○D4/C2×C4 → C2 ⊆ Aut C2×C10160(C2xC10).101(C4oD4)320,1160
(C2×C10).102(C4○D4) = C2×D10⋊D4φ: C4○D4/C2×C4 → C2 ⊆ Aut C2×C10160(C2xC10).102(C4oD4)320,1161
(C2×C10).103(C4○D4) = C2×Dic5.5D4φ: C4○D4/C2×C4 → C2 ⊆ Aut C2×C10160(C2xC10).103(C4oD4)320,1163
(C2×C10).104(C4○D4) = C24.30D10φ: C4○D4/C2×C4 → C2 ⊆ Aut C2×C1080(C2xC10).104(C4oD4)320,1166
(C2×C10).105(C4○D4) = C2×Dic5.Q8φ: C4○D4/C2×C4 → C2 ⊆ Aut C2×C10320(C2xC10).105(C4oD4)320,1170
(C2×C10).106(C4○D4) = C2×D10.13D4φ: C4○D4/C2×C4 → C2 ⊆ Aut C2×C10160(C2xC10).106(C4oD4)320,1177
(C2×C10).107(C4○D4) = C2×D10⋊Q8φ: C4○D4/C2×C4 → C2 ⊆ Aut C2×C10160(C2xC10).107(C4oD4)320,1180
(C2×C10).108(C4○D4) = C2×C4⋊C4⋊D5φ: C4○D4/C2×C4 → C2 ⊆ Aut C2×C10160(C2xC10).108(C4oD4)320,1184
(C2×C10).109(C4○D4) = C10.62- 1+4φ: C4○D4/C2×C4 → C2 ⊆ Aut C2×C10160(C2xC10).109(C4oD4)320,1187
(C2×C10).110(C4○D4) = C2×C20.48D4φ: C4○D4/C2×C4 → C2 ⊆ Aut C2×C10160(C2xC10).110(C4oD4)320,1456
(C2×C10).111(C4○D4) = C2×C23.21D10φ: C4○D4/C2×C4 → C2 ⊆ Aut C2×C10160(C2xC10).111(C4oD4)320,1458
(C2×C10).112(C4○D4) = C2×C4×C5⋊D4φ: C4○D4/C2×C4 → C2 ⊆ Aut C2×C10160(C2xC10).112(C4oD4)320,1460
(C2×C10).113(C4○D4) = C2×C23.23D10φ: C4○D4/C2×C4 → C2 ⊆ Aut C2×C10160(C2xC10).113(C4oD4)320,1461
(C2×C10).114(C4○D4) = C2×C20⋊7D4φ: C4○D4/C2×C4 → C2 ⊆ Aut C2×C10160(C2xC10).114(C4oD4)320,1462
(C2×C10).115(C4○D4) = C5×D4.3D4φ: C4○D4/D4 → C2 ⊆ Aut C2×C10804(C2xC10).115(C4oD4)320,972
(C2×C10).116(C4○D4) = C5×D4.4D4φ: C4○D4/D4 → C2 ⊆ Aut C2×C10804(C2xC10).116(C4oD4)320,973
(C2×C10).117(C4○D4) = C5×D4.5D4φ: C4○D4/D4 → C2 ⊆ Aut C2×C101604(C2xC10).117(C4oD4)320,974
(C2×C10).118(C4○D4) = C5×C22.45C24φ: C4○D4/D4 → C2 ⊆ Aut C2×C1080(C2xC10).118(C4oD4)320,1553
(C2×C10).119(C4○D4) = C5×C22.46C24φ: C4○D4/D4 → C2 ⊆ Aut C2×C10160(C2xC10).119(C4oD4)320,1554
(C2×C10).120(C4○D4) = (C2×C20)⋊Q8φ: C4○D4/D4 → C2 ⊆ Aut C2×C10320(C2xC10).120(C4oD4)320,273
(C2×C10).121(C4○D4) = C10.49(C4×D4)φ: C4○D4/D4 → C2 ⊆ Aut C2×C10320(C2xC10).121(C4oD4)320,274
(C2×C10).122(C4○D4) = Dic5.15C42φ: C4○D4/D4 → C2 ⊆ Aut C2×C10320(C2xC10).122(C4oD4)320,275
(C2×C10).123(C4○D4) = Dic5⋊2C42φ: C4○D4/D4 → C2 ⊆ Aut C2×C10320(C2xC10).123(C4oD4)320,276
(C2×C10).124(C4○D4) = C5⋊2(C42⋊5C4)φ: C4○D4/D4 → C2 ⊆ Aut C2×C10320(C2xC10).124(C4oD4)320,278
(C2×C10).125(C4○D4) = C2.(C4×D20)φ: C4○D4/D4 → C2 ⊆ Aut C2×C10320(C2xC10).125(C4oD4)320,280
(C2×C10).126(C4○D4) = (C2×Dic5)⋊Q8φ: C4○D4/D4 → C2 ⊆ Aut C2×C10320(C2xC10).126(C4oD4)320,283
(C2×C10).127(C4○D4) = (C2×Dic5).Q8φ: C4○D4/D4 → C2 ⊆ Aut C2×C10320(C2xC10).127(C4oD4)320,285
(C2×C10).128(C4○D4) = (C2×C20).28D4φ: C4○D4/D4 → C2 ⊆ Aut C2×C10320(C2xC10).128(C4oD4)320,286
(C2×C10).129(C4○D4) = (C2×C4).Dic10φ: C4○D4/D4 → C2 ⊆ Aut C2×C10320(C2xC10).129(C4oD4)320,287
(C2×C10).130(C4○D4) = (C22×C4).D10φ: C4○D4/D4 → C2 ⊆ Aut C2×C10320(C2xC10).130(C4oD4)320,289
(C2×C10).131(C4○D4) = D10⋊2C42φ: C4○D4/D4 → C2 ⊆ Aut C2×C10160(C2xC10).131(C4oD4)320,293
(C2×C10).132(C4○D4) = D10⋊3(C4⋊C4)φ: C4○D4/D4 → C2 ⊆ Aut C2×C10160(C2xC10).132(C4oD4)320,295
(C2×C10).133(C4○D4) = C10.54(C4×D4)φ: C4○D4/D4 → C2 ⊆ Aut C2×C10160(C2xC10).133(C4oD4)320,296
(C2×C10).134(C4○D4) = C10.55(C4×D4)φ: C4○D4/D4 → C2 ⊆ Aut C2×C10160(C2xC10).134(C4oD4)320,297
(C2×C10).135(C4○D4) = C10.(C4⋊D4)φ: C4○D4/D4 → C2 ⊆ Aut C2×C10160(C2xC10).135(C4oD4)320,302
(C2×C10).136(C4○D4) = (C2×C20).33D4φ: C4○D4/D4 → C2 ⊆ Aut C2×C10160(C2xC10).136(C4oD4)320,304
(C2×C10).137(C4○D4) = C22⋊C4×Dic5φ: C4○D4/D4 → C2 ⊆ Aut C2×C10160(C2xC10).137(C4oD4)320,568
(C2×C10).138(C4○D4) = C24.44D10φ: C4○D4/D4 → C2 ⊆ Aut C2×C10160(C2xC10).138(C4oD4)320,569
(C2×C10).139(C4○D4) = C23.42D20φ: C4○D4/D4 → C2 ⊆ Aut C2×C10160(C2xC10).139(C4oD4)320,570
(C2×C10).140(C4○D4) = C24.3D10φ: C4○D4/D4 → C2 ⊆ Aut C2×C10160(C2xC10).140(C4oD4)320,571
(C2×C10).141(C4○D4) = C24.46D10φ: C4○D4/D4 → C2 ⊆ Aut C2×C10160(C2xC10).141(C4oD4)320,573
(C2×C10).142(C4○D4) = C24.47D10φ: C4○D4/D4 → C2 ⊆ Aut C2×C10160(C2xC10).142(C4oD4)320,577
(C2×C10).143(C4○D4) = C24.9D10φ: C4○D4/D4 → C2 ⊆ Aut C2×C10160(C2xC10).143(C4oD4)320,579
(C2×C10).144(C4○D4) = C23.14D20φ: C4○D4/D4 → C2 ⊆ Aut C2×C10160(C2xC10).144(C4oD4)320,580
(C2×C10).145(C4○D4) = C24.12D10φ: C4○D4/D4 → C2 ⊆ Aut C2×C10160(C2xC10).145(C4oD4)320,583
(C2×C10).146(C4○D4) = C24.13D10φ: C4○D4/D4 → C2 ⊆ Aut C2×C10160(C2xC10).146(C4oD4)320,584
(C2×C10).147(C4○D4) = C23.45D20φ: C4○D4/D4 → C2 ⊆ Aut C2×C10160(C2xC10).147(C4oD4)320,585
(C2×C10).148(C4○D4) = C24.14D10φ: C4○D4/D4 → C2 ⊆ Aut C2×C10160(C2xC10).148(C4oD4)320,586
(C2×C10).149(C4○D4) = C10.96(C4×D4)φ: C4○D4/D4 → C2 ⊆ Aut C2×C10320(C2xC10).149(C4oD4)320,599
(C2×C10).150(C4○D4) = (C2×Dic5)⋊6Q8φ: C4○D4/D4 → C2 ⊆ Aut C2×C10320(C2xC10).150(C4oD4)320,601
(C2×C10).151(C4○D4) = C4⋊C4×Dic5φ: C4○D4/D4 → C2 ⊆ Aut C2×C10320(C2xC10).151(C4oD4)320,602
(C2×C10).152(C4○D4) = C20.48(C4⋊C4)φ: C4○D4/D4 → C2 ⊆ Aut C2×C10320(C2xC10).152(C4oD4)320,604
(C2×C10).153(C4○D4) = C10.97(C4×D4)φ: C4○D4/D4 → C2 ⊆ Aut C2×C10320(C2xC10).153(C4oD4)320,605
(C2×C10).154(C4○D4) = (C2×C20).287D4φ: C4○D4/D4 → C2 ⊆ Aut C2×C10320(C2xC10).154(C4oD4)320,607
(C2×C10).155(C4○D4) = (C2×C20).288D4φ: C4○D4/D4 → C2 ⊆ Aut C2×C10320(C2xC10).155(C4oD4)320,609
(C2×C10).156(C4○D4) = D10⋊4(C4⋊C4)φ: C4○D4/D4 → C2 ⊆ Aut C2×C10160(C2xC10).156(C4oD4)320,614
(C2×C10).157(C4○D4) = C10.90(C4×D4)φ: C4○D4/D4 → C2 ⊆ Aut C2×C10160(C2xC10).157(C4oD4)320,617
(C2×C10).158(C4○D4) = C40.23D4φ: C4○D4/D4 → C2 ⊆ Aut C2×C10804(C2xC10).158(C4oD4)320,787
(C2×C10).159(C4○D4) = C40.44D4φ: C4○D4/D4 → C2 ⊆ Aut C2×C10804(C2xC10).159(C4oD4)320,804
(C2×C10).160(C4○D4) = C40.29D4φ: C4○D4/D4 → C2 ⊆ Aut C2×C101604(C2xC10).160(C4oD4)320,819
(C2×C10).161(C4○D4) = C24.18D10φ: C4○D4/D4 → C2 ⊆ Aut C2×C10160(C2xC10).161(C4oD4)320,847
(C2×C10).162(C4○D4) = C24.19D10φ: C4○D4/D4 → C2 ⊆ Aut C2×C10160(C2xC10).162(C4oD4)320,848
(C2×C10).163(C4○D4) = C24.20D10φ: C4○D4/D4 → C2 ⊆ Aut C2×C10160(C2xC10).163(C4oD4)320,849
(C2×C10).164(C4○D4) = C24.21D10φ: C4○D4/D4 → C2 ⊆ Aut C2×C10160(C2xC10).164(C4oD4)320,850
(C2×C10).165(C4○D4) = C2×C23.11D10φ: C4○D4/D4 → C2 ⊆ Aut C2×C10160(C2xC10).165(C4oD4)320,1152
(C2×C10).166(C4○D4) = C2×Dic5.14D4φ: C4○D4/D4 → C2 ⊆ Aut C2×C10160(C2xC10).166(C4oD4)320,1153
(C2×C10).167(C4○D4) = C2×Dic5⋊4D4φ: C4○D4/D4 → C2 ⊆ Aut C2×C10160(C2xC10).167(C4oD4)320,1157
(C2×C10).168(C4○D4) = C2×C22.D20φ: C4○D4/D4 → C2 ⊆ Aut C2×C10160(C2xC10).168(C4oD4)320,1164
(C2×C10).169(C4○D4) = C2×Dic5⋊3Q8φ: C4○D4/D4 → C2 ⊆ Aut C2×C10320(C2xC10).169(C4oD4)320,1168
(C2×C10).170(C4○D4) = C2×C4.Dic10φ: C4○D4/D4 → C2 ⊆ Aut C2×C10320(C2xC10).170(C4oD4)320,1171
(C2×C10).171(C4○D4) = C2×C4⋊C4⋊7D5φ: C4○D4/D4 → C2 ⊆ Aut C2×C10160(C2xC10).171(C4oD4)320,1174
(C2×C10).172(C4○D4) = C2×D10⋊2Q8φ: C4○D4/D4 → C2 ⊆ Aut C2×C10160(C2xC10).172(C4oD4)320,1181
(C2×C10).173(C4○D4) = C10.52- 1+4φ: C4○D4/D4 → C2 ⊆ Aut C2×C10160(C2xC10).173(C4oD4)320,1185
(C2×C10).174(C4○D4) = C2×D4×Dic5φ: C4○D4/D4 → C2 ⊆ Aut C2×C10160(C2xC10).174(C4oD4)320,1467
(C2×C10).175(C4○D4) = C2×C23.18D10φ: C4○D4/D4 → C2 ⊆ Aut C2×C10160(C2xC10).175(C4oD4)320,1468
(C2×C10).176(C4○D4) = C2×C20.17D4φ: C4○D4/D4 → C2 ⊆ Aut C2×C10160(C2xC10).176(C4oD4)320,1469
(C2×C10).177(C4○D4) = C2×C20⋊2D4φ: C4○D4/D4 → C2 ⊆ Aut C2×C10160(C2xC10).177(C4oD4)320,1472
(C2×C10).178(C4○D4) = C2×Dic5⋊D4φ: C4○D4/D4 → C2 ⊆ Aut C2×C10160(C2xC10).178(C4oD4)320,1474
(C2×C10).179(C4○D4) = C5×C22.47C24φ: C4○D4/Q8 → C2 ⊆ Aut C2×C10160(C2xC10).179(C4oD4)320,1555
(C2×C10).180(C4○D4) = C4⋊Dic5⋊15C4φ: C4○D4/Q8 → C2 ⊆ Aut C2×C10320(C2xC10).180(C4oD4)320,281
(C2×C10).181(C4○D4) = C10.(C4⋊Q8)φ: C4○D4/Q8 → C2 ⊆ Aut C2×C10320(C2xC10).181(C4oD4)320,288
(C2×C10).182(C4○D4) = C22.58(D4×D5)φ: C4○D4/Q8 → C2 ⊆ Aut C2×C10160(C2xC10).182(C4oD4)320,291
(C2×C10).183(C4○D4) = (C2×C4)⋊9D20φ: C4○D4/Q8 → C2 ⊆ Aut C2×C10160(C2xC10).183(C4oD4)320,292
(C2×C10).184(C4○D4) = (C2×C20)⋊5D4φ: C4○D4/Q8 → C2 ⊆ Aut C2×C10160(C2xC10).184(C4oD4)320,298
(C2×C10).185(C4○D4) = (C2×C4).21D20φ: C4○D4/Q8 → C2 ⊆ Aut C2×C10160(C2xC10).185(C4oD4)320,301
(C2×C10).186(C4○D4) = C20⋊4(C4⋊C4)φ: C4○D4/Q8 → C2 ⊆ Aut C2×C10320(C2xC10).186(C4oD4)320,600
(C2×C10).187(C4○D4) = C20⋊6(C4⋊C4)φ: C4○D4/Q8 → C2 ⊆ Aut C2×C10320(C2xC10).187(C4oD4)320,612
(C2×C10).188(C4○D4) = (C2×C20).55D4φ: C4○D4/Q8 → C2 ⊆ Aut C2×C10320(C2xC10).188(C4oD4)320,613
(C2×C10).189(C4○D4) = (C2×D20)⋊22C4φ: C4○D4/Q8 → C2 ⊆ Aut C2×C10160(C2xC10).189(C4oD4)320,615
(C2×C10).190(C4○D4) = D10⋊5(C4⋊C4)φ: C4○D4/Q8 → C2 ⊆ Aut C2×C10160(C2xC10).190(C4oD4)320,616
(C2×C10).191(C4○D4) = (C2×C20).289D4φ: C4○D4/Q8 → C2 ⊆ Aut C2×C10160(C2xC10).191(C4oD4)320,619
(C2×C10).192(C4○D4) = (C2×C20).290D4φ: C4○D4/Q8 → C2 ⊆ Aut C2×C10160(C2xC10).192(C4oD4)320,620
(C2×C10).193(C4○D4) = C10.C22≀C2φ: C4○D4/Q8 → C2 ⊆ Aut C2×C10320(C2xC10).193(C4oD4)320,856
(C2×C10).194(C4○D4) = (Q8×C10)⋊17C4φ: C4○D4/Q8 → C2 ⊆ Aut C2×C10320(C2xC10).194(C4oD4)320,857
(C2×C10).195(C4○D4) = (C22×D5)⋊Q8φ: C4○D4/Q8 → C2 ⊆ Aut C2×C10160(C2xC10).195(C4oD4)320,858
(C2×C10).196(C4○D4) = C2×D20⋊8C4φ: C4○D4/Q8 → C2 ⊆ Aut C2×C10160(C2xC10).196(C4oD4)320,1175
(C2×C10).197(C4○D4) = C2×C4⋊D20φ: C4○D4/Q8 → C2 ⊆ Aut C2×C10160(C2xC10).197(C4oD4)320,1178
(C2×C10).198(C4○D4) = C10.112+ 1+4φ: C4○D4/Q8 → C2 ⊆ Aut C2×C10160(C2xC10).198(C4oD4)320,1186
(C2×C10).199(C4○D4) = C2×Q8×Dic5φ: C4○D4/Q8 → C2 ⊆ Aut C2×C10320(C2xC10).199(C4oD4)320,1483
(C2×C10).200(C4○D4) = C2×D10⋊3Q8φ: C4○D4/Q8 → C2 ⊆ Aut C2×C10160(C2xC10).200(C4oD4)320,1485
(C2×C10).201(C4○D4) = C2×C20.23D4φ: C4○D4/Q8 → C2 ⊆ Aut C2×C10160(C2xC10).201(C4oD4)320,1486
(C2×C10).202(C4○D4) = C5×C42⋊4C4central extension (φ=1)320(C2xC10).202(C4oD4)320,877
(C2×C10).203(C4○D4) = C22⋊C4×C20central extension (φ=1)160(C2xC10).203(C4oD4)320,878
(C2×C10).204(C4○D4) = C4⋊C4×C20central extension (φ=1)320(C2xC10).204(C4oD4)320,879
(C2×C10).205(C4○D4) = C5×C23.7Q8central extension (φ=1)160(C2xC10).205(C4oD4)320,881
(C2×C10).206(C4○D4) = C5×C23.34D4central extension (φ=1)160(C2xC10).206(C4oD4)320,882
(C2×C10).207(C4○D4) = C5×C42⋊8C4central extension (φ=1)320(C2xC10).207(C4oD4)320,883
(C2×C10).208(C4○D4) = C5×C42⋊5C4central extension (φ=1)320(C2xC10).208(C4oD4)320,884
(C2×C10).209(C4○D4) = C5×C23.8Q8central extension (φ=1)160(C2xC10).209(C4oD4)320,886
(C2×C10).210(C4○D4) = C5×C23.23D4central extension (φ=1)160(C2xC10).210(C4oD4)320,887
(C2×C10).211(C4○D4) = C5×C23.63C23central extension (φ=1)320(C2xC10).211(C4oD4)320,888
(C2×C10).212(C4○D4) = C5×C24.C22central extension (φ=1)160(C2xC10).212(C4oD4)320,889
(C2×C10).213(C4○D4) = C5×C23.65C23central extension (φ=1)320(C2xC10).213(C4oD4)320,890
(C2×C10).214(C4○D4) = C5×C24.3C22central extension (φ=1)160(C2xC10).214(C4oD4)320,891
(C2×C10).215(C4○D4) = C5×C23.67C23central extension (φ=1)320(C2xC10).215(C4oD4)320,892
(C2×C10).216(C4○D4) = C5×C23⋊2D4central extension (φ=1)160(C2xC10).216(C4oD4)320,893
(C2×C10).217(C4○D4) = C5×C23⋊Q8central extension (φ=1)160(C2xC10).217(C4oD4)320,894
(C2×C10).218(C4○D4) = C5×C23.10D4central extension (φ=1)160(C2xC10).218(C4oD4)320,895
(C2×C10).219(C4○D4) = C5×C23.78C23central extension (φ=1)320(C2xC10).219(C4oD4)320,896
(C2×C10).220(C4○D4) = C5×C23.Q8central extension (φ=1)160(C2xC10).220(C4oD4)320,897
(C2×C10).221(C4○D4) = C5×C23.11D4central extension (φ=1)160(C2xC10).221(C4oD4)320,898
(C2×C10).222(C4○D4) = C5×C23.81C23central extension (φ=1)320(C2xC10).222(C4oD4)320,899
(C2×C10).223(C4○D4) = C5×C23.4Q8central extension (φ=1)160(C2xC10).223(C4oD4)320,900
(C2×C10).224(C4○D4) = C5×C23.83C23central extension (φ=1)320(C2xC10).224(C4oD4)320,901
(C2×C10).225(C4○D4) = C5×C23.84C23central extension (φ=1)320(C2xC10).225(C4oD4)320,902
(C2×C10).226(C4○D4) = C10×C42⋊C2central extension (φ=1)160(C2xC10).226(C4oD4)320,1516
(C2×C10).227(C4○D4) = D4×C2×C20central extension (φ=1)160(C2xC10).227(C4oD4)320,1517
(C2×C10).228(C4○D4) = Q8×C2×C20central extension (φ=1)320(C2xC10).228(C4oD4)320,1518
(C2×C10).229(C4○D4) = C10×C4⋊D4central extension (φ=1)160(C2xC10).229(C4oD4)320,1524
(C2×C10).230(C4○D4) = C10×C22⋊Q8central extension (φ=1)160(C2xC10).230(C4oD4)320,1525
(C2×C10).231(C4○D4) = C10×C22.D4central extension (φ=1)160(C2xC10).231(C4oD4)320,1526
(C2×C10).232(C4○D4) = C10×C4.4D4central extension (φ=1)160(C2xC10).232(C4oD4)320,1528
(C2×C10).233(C4○D4) = C10×C42.C2central extension (φ=1)320(C2xC10).233(C4oD4)320,1529
(C2×C10).234(C4○D4) = C10×C42⋊2C2central extension (φ=1)160(C2xC10).234(C4oD4)320,1530

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