Extensions 1→N→G→Q→1 with N=C22×C4 and Q=C2×C10

Direct product G=N×Q with N=C22×C4 and Q=C2×C10
dρLabelID
C24×C20320C2^4xC20320,1628

Semidirect products G=N:Q with N=C22×C4 and Q=C2×C10
extensionφ:Q→Aut NdρLabelID
(C22×C4)⋊1(C2×C10) = C5×C243C4φ: C2×C10/C5C22 ⊆ Aut C22×C480(C2^2xC4):1(C2xC10)320,880
(C22×C4)⋊2(C2×C10) = C5×C23.7D4φ: C2×C10/C5C22 ⊆ Aut C22×C4804(C2^2xC4):2(C2xC10)320,959
(C22×C4)⋊3(C2×C10) = C5×C22.11C24φ: C2×C10/C5C22 ⊆ Aut C22×C480(C2^2xC4):3(C2xC10)320,1520
(C22×C4)⋊4(C2×C10) = C5×C22.45C24φ: C2×C10/C5C22 ⊆ Aut C22×C480(C2^2xC4):4(C2xC10)320,1553
(C22×C4)⋊5(C2×C10) = C10×C22≀C2φ: C2×C10/C5C22 ⊆ Aut C22×C480(C2^2xC4):5(C2xC10)320,1523
(C22×C4)⋊6(C2×C10) = C5×C22.19C24φ: C2×C10/C5C22 ⊆ Aut C22×C480(C2^2xC4):6(C2xC10)320,1527
(C22×C4)⋊7(C2×C10) = C5×C233D4φ: C2×C10/C5C22 ⊆ Aut C22×C480(C2^2xC4):7(C2xC10)320,1536
(C22×C4)⋊8(C2×C10) = C5×C22.29C24φ: C2×C10/C5C22 ⊆ Aut C22×C480(C2^2xC4):8(C2xC10)320,1537
(C22×C4)⋊9(C2×C10) = C5×C22.32C24φ: C2×C10/C5C22 ⊆ Aut C22×C480(C2^2xC4):9(C2xC10)320,1540
(C22×C4)⋊10(C2×C10) = C5×D42φ: C2×C10/C5C22 ⊆ Aut C22×C480(C2^2xC4):10(C2xC10)320,1547
(C22×C4)⋊11(C2×C10) = C5×D45D4φ: C2×C10/C5C22 ⊆ Aut C22×C480(C2^2xC4):11(C2xC10)320,1548
(C22×C4)⋊12(C2×C10) = C5×C22.54C24φ: C2×C10/C5C22 ⊆ Aut C22×C480(C2^2xC4):12(C2xC10)320,1562
(C22×C4)⋊13(C2×C10) = C10×2+ 1+4φ: C2×C10/C5C22 ⊆ Aut C22×C480(C2^2xC4):13(C2xC10)320,1632
(C22×C4)⋊14(C2×C10) = C5×C2.C25φ: C2×C10/C5C22 ⊆ Aut C22×C4804(C2^2xC4):14(C2xC10)320,1634
(C22×C4)⋊15(C2×C10) = C22⋊C4×C2×C10φ: C2×C10/C10C2 ⊆ Aut C22×C4160(C2^2xC4):15(C2xC10)320,1514
(C22×C4)⋊16(C2×C10) = D4×C2×C20φ: C2×C10/C10C2 ⊆ Aut C22×C4160(C2^2xC4):16(C2xC10)320,1517
(C22×C4)⋊17(C2×C10) = C10×C22.D4φ: C2×C10/C10C2 ⊆ Aut C22×C4160(C2^2xC4):17(C2xC10)320,1526
(C22×C4)⋊18(C2×C10) = C10×C4⋊D4φ: C2×C10/C10C2 ⊆ Aut C22×C4160(C2^2xC4):18(C2xC10)320,1524
(C22×C4)⋊19(C2×C10) = D4×C22×C10φ: C2×C10/C10C2 ⊆ Aut C22×C4160(C2^2xC4):19(C2xC10)320,1629
(C22×C4)⋊20(C2×C10) = C4○D4×C2×C10φ: C2×C10/C10C2 ⊆ Aut C22×C4160(C2^2xC4):20(C2xC10)320,1631

Non-split extensions G=N.Q with N=C22×C4 and Q=C2×C10
extensionφ:Q→Aut NdρLabelID
(C22×C4).1(C2×C10) = C5×C23⋊C8φ: C2×C10/C5C22 ⊆ Aut C22×C480(C2^2xC4).1(C2xC10)320,128
(C22×C4).2(C2×C10) = C5×C22.M4(2)φ: C2×C10/C5C22 ⊆ Aut C22×C4160(C2^2xC4).2(C2xC10)320,129
(C22×C4).3(C2×C10) = C5×C23.34D4φ: C2×C10/C5C22 ⊆ Aut C22×C4160(C2^2xC4).3(C2xC10)320,882
(C22×C4).4(C2×C10) = C5×C232D4φ: C2×C10/C5C22 ⊆ Aut C22×C4160(C2^2xC4).4(C2xC10)320,893
(C22×C4).5(C2×C10) = C5×C23⋊Q8φ: C2×C10/C5C22 ⊆ Aut C22×C4160(C2^2xC4).5(C2xC10)320,894
(C22×C4).6(C2×C10) = C5×C23.10D4φ: C2×C10/C5C22 ⊆ Aut C22×C4160(C2^2xC4).6(C2xC10)320,895
(C22×C4).7(C2×C10) = C5×C23.Q8φ: C2×C10/C5C22 ⊆ Aut C22×C4160(C2^2xC4).7(C2xC10)320,897
(C22×C4).8(C2×C10) = C5×C23.11D4φ: C2×C10/C5C22 ⊆ Aut C22×C4160(C2^2xC4).8(C2xC10)320,898
(C22×C4).9(C2×C10) = C5×C23.83C23φ: C2×C10/C5C22 ⊆ Aut C22×C4320(C2^2xC4).9(C2xC10)320,901
(C22×C4).10(C2×C10) = C5×C23.84C23φ: C2×C10/C5C22 ⊆ Aut C22×C4320(C2^2xC4).10(C2xC10)320,902
(C22×C4).11(C2×C10) = C5×C23.33C23φ: C2×C10/C5C22 ⊆ Aut C22×C4160(C2^2xC4).11(C2xC10)320,1522
(C22×C4).12(C2×C10) = C5×C22.47C24φ: C2×C10/C5C22 ⊆ Aut C22×C4160(C2^2xC4).12(C2xC10)320,1555
(C22×C4).13(C2×C10) = C5×C22.53C24φ: C2×C10/C5C22 ⊆ Aut C22×C4160(C2^2xC4).13(C2xC10)320,1561
(C22×C4).14(C2×C10) = C5×C22.SD16φ: C2×C10/C5C22 ⊆ Aut C22×C480(C2^2xC4).14(C2xC10)320,132
(C22×C4).15(C2×C10) = C5×C23.31D4φ: C2×C10/C5C22 ⊆ Aut C22×C480(C2^2xC4).15(C2xC10)320,133
(C22×C4).16(C2×C10) = C5×C4.9C42φ: C2×C10/C5C22 ⊆ Aut C22×C4804(C2^2xC4).16(C2xC10)320,142
(C22×C4).17(C2×C10) = C5×C4.10C42φ: C2×C10/C5C22 ⊆ Aut C22×C4804(C2^2xC4).17(C2xC10)320,143
(C22×C4).18(C2×C10) = C5×C22.C42φ: C2×C10/C5C22 ⊆ Aut C22×C4160(C2^2xC4).18(C2xC10)320,148
(C22×C4).19(C2×C10) = C5×M4(2)⋊4C4φ: C2×C10/C5C22 ⊆ Aut C22×C4804(C2^2xC4).19(C2xC10)320,149
(C22×C4).20(C2×C10) = C5×C23.63C23φ: C2×C10/C5C22 ⊆ Aut C22×C4320(C2^2xC4).20(C2xC10)320,888
(C22×C4).21(C2×C10) = C5×C23.78C23φ: C2×C10/C5C22 ⊆ Aut C22×C4320(C2^2xC4).21(C2xC10)320,896
(C22×C4).22(C2×C10) = C5×C23.81C23φ: C2×C10/C5C22 ⊆ Aut C22×C4320(C2^2xC4).22(C2xC10)320,899
(C22×C4).23(C2×C10) = C5×C23.4Q8φ: C2×C10/C5C22 ⊆ Aut C22×C4160(C2^2xC4).23(C2xC10)320,900
(C22×C4).24(C2×C10) = C5×(C22×C8)⋊C2φ: C2×C10/C5C22 ⊆ Aut C22×C4160(C2^2xC4).24(C2xC10)320,909
(C22×C4).25(C2×C10) = C5×C23.C23φ: C2×C10/C5C22 ⊆ Aut C22×C4804(C2^2xC4).25(C2xC10)320,911
(C22×C4).26(C2×C10) = C10×C4.D4φ: C2×C10/C5C22 ⊆ Aut C22×C480(C2^2xC4).26(C2xC10)320,912
(C22×C4).27(C2×C10) = C10×C4.10D4φ: C2×C10/C5C22 ⊆ Aut C22×C4160(C2^2xC4).27(C2xC10)320,913
(C22×C4).28(C2×C10) = C5×M4(2).8C22φ: C2×C10/C5C22 ⊆ Aut C22×C4804(C2^2xC4).28(C2xC10)320,914
(C22×C4).29(C2×C10) = C5×C23.36D4φ: C2×C10/C5C22 ⊆ Aut C22×C4160(C2^2xC4).29(C2xC10)320,918
(C22×C4).30(C2×C10) = C5×C23.37D4φ: C2×C10/C5C22 ⊆ Aut C22×C480(C2^2xC4).30(C2xC10)320,919
(C22×C4).31(C2×C10) = C5×C23.38D4φ: C2×C10/C5C22 ⊆ Aut C22×C4160(C2^2xC4).31(C2xC10)320,920
(C22×C4).32(C2×C10) = C5×C42⋊C22φ: C2×C10/C5C22 ⊆ Aut C22×C4804(C2^2xC4).32(C2xC10)320,922
(C22×C4).33(C2×C10) = C5×M4(2)⋊C4φ: C2×C10/C5C22 ⊆ Aut C22×C4160(C2^2xC4).33(C2xC10)320,929
(C22×C4).34(C2×C10) = C5×M4(2).C4φ: C2×C10/C5C22 ⊆ Aut C22×C4804(C2^2xC4).34(C2xC10)320,931
(C22×C4).35(C2×C10) = C5×C42.7C22φ: C2×C10/C5C22 ⊆ Aut C22×C4160(C2^2xC4).35(C2xC10)320,934
(C22×C4).36(C2×C10) = C5×C86D4φ: C2×C10/C5C22 ⊆ Aut C22×C4160(C2^2xC4).36(C2xC10)320,937
(C22×C4).37(C2×C10) = C5×C22⋊D8φ: C2×C10/C5C22 ⊆ Aut C22×C480(C2^2xC4).37(C2xC10)320,948
(C22×C4).38(C2×C10) = C5×Q8⋊D4φ: C2×C10/C5C22 ⊆ Aut C22×C4160(C2^2xC4).38(C2xC10)320,949
(C22×C4).39(C2×C10) = C5×D4⋊D4φ: C2×C10/C5C22 ⊆ Aut C22×C4160(C2^2xC4).39(C2xC10)320,950
(C22×C4).40(C2×C10) = C5×C22⋊SD16φ: C2×C10/C5C22 ⊆ Aut C22×C480(C2^2xC4).40(C2xC10)320,951
(C22×C4).41(C2×C10) = C5×C22⋊Q16φ: C2×C10/C5C22 ⊆ Aut C22×C4160(C2^2xC4).41(C2xC10)320,952
(C22×C4).42(C2×C10) = C5×D4.7D4φ: C2×C10/C5C22 ⊆ Aut C22×C4160(C2^2xC4).42(C2xC10)320,953
(C22×C4).43(C2×C10) = C5×C8⋊D4φ: C2×C10/C5C22 ⊆ Aut C22×C4160(C2^2xC4).43(C2xC10)320,969
(C22×C4).44(C2×C10) = C5×C82D4φ: C2×C10/C5C22 ⊆ Aut C22×C4160(C2^2xC4).44(C2xC10)320,970
(C22×C4).45(C2×C10) = C5×C8.D4φ: C2×C10/C5C22 ⊆ Aut C22×C4160(C2^2xC4).45(C2xC10)320,971
(C22×C4).46(C2×C10) = C5×C22.D8φ: C2×C10/C5C22 ⊆ Aut C22×C4160(C2^2xC4).46(C2xC10)320,981
(C22×C4).47(C2×C10) = C5×C23.46D4φ: C2×C10/C5C22 ⊆ Aut C22×C4160(C2^2xC4).47(C2xC10)320,982
(C22×C4).48(C2×C10) = C5×C23.19D4φ: C2×C10/C5C22 ⊆ Aut C22×C4160(C2^2xC4).48(C2xC10)320,983
(C22×C4).49(C2×C10) = C5×C23.47D4φ: C2×C10/C5C22 ⊆ Aut C22×C4160(C2^2xC4).49(C2xC10)320,984
(C22×C4).50(C2×C10) = C5×C23.48D4φ: C2×C10/C5C22 ⊆ Aut C22×C4160(C2^2xC4).50(C2xC10)320,985
(C22×C4).51(C2×C10) = C5×C23.20D4φ: C2×C10/C5C22 ⊆ Aut C22×C4160(C2^2xC4).51(C2xC10)320,986
(C22×C4).52(C2×C10) = C5×C23.32C23φ: C2×C10/C5C22 ⊆ Aut C22×C4160(C2^2xC4).52(C2xC10)320,1521
(C22×C4).53(C2×C10) = C10×C22⋊Q8φ: C2×C10/C5C22 ⊆ Aut C22×C4160(C2^2xC4).53(C2xC10)320,1525
(C22×C4).54(C2×C10) = C5×C23.36C23φ: C2×C10/C5C22 ⊆ Aut C22×C4160(C2^2xC4).54(C2xC10)320,1531
(C22×C4).55(C2×C10) = C10×C4⋊Q8φ: C2×C10/C5C22 ⊆ Aut C22×C4320(C2^2xC4).55(C2xC10)320,1533
(C22×C4).56(C2×C10) = C5×C22.26C24φ: C2×C10/C5C22 ⊆ Aut C22×C4160(C2^2xC4).56(C2xC10)320,1534
(C22×C4).57(C2×C10) = C5×C23.38C23φ: C2×C10/C5C22 ⊆ Aut C22×C4160(C2^2xC4).57(C2xC10)320,1538
(C22×C4).58(C2×C10) = C5×C22.31C24φ: C2×C10/C5C22 ⊆ Aut C22×C4160(C2^2xC4).58(C2xC10)320,1539
(C22×C4).59(C2×C10) = C5×C22.33C24φ: C2×C10/C5C22 ⊆ Aut C22×C4160(C2^2xC4).59(C2xC10)320,1541
(C22×C4).60(C2×C10) = C5×C22.34C24φ: C2×C10/C5C22 ⊆ Aut C22×C4160(C2^2xC4).60(C2xC10)320,1542
(C22×C4).61(C2×C10) = C5×C22.35C24φ: C2×C10/C5C22 ⊆ Aut C22×C4160(C2^2xC4).61(C2xC10)320,1543
(C22×C4).62(C2×C10) = C5×C22.36C24φ: C2×C10/C5C22 ⊆ Aut C22×C4160(C2^2xC4).62(C2xC10)320,1544
(C22×C4).63(C2×C10) = C5×C232Q8φ: C2×C10/C5C22 ⊆ Aut C22×C480(C2^2xC4).63(C2xC10)320,1545
(C22×C4).64(C2×C10) = C5×C23.41C23φ: C2×C10/C5C22 ⊆ Aut C22×C4160(C2^2xC4).64(C2xC10)320,1546
(C22×C4).65(C2×C10) = C5×D46D4φ: C2×C10/C5C22 ⊆ Aut C22×C4160(C2^2xC4).65(C2xC10)320,1549
(C22×C4).66(C2×C10) = C5×Q85D4φ: C2×C10/C5C22 ⊆ Aut C22×C4160(C2^2xC4).66(C2xC10)320,1550
(C22×C4).67(C2×C10) = C5×D4×Q8φ: C2×C10/C5C22 ⊆ Aut C22×C4160(C2^2xC4).67(C2xC10)320,1551
(C22×C4).68(C2×C10) = C5×Q86D4φ: C2×C10/C5C22 ⊆ Aut C22×C4160(C2^2xC4).68(C2xC10)320,1552
(C22×C4).69(C2×C10) = C5×C22.46C24φ: C2×C10/C5C22 ⊆ Aut C22×C4160(C2^2xC4).69(C2xC10)320,1554
(C22×C4).70(C2×C10) = C5×D43Q8φ: C2×C10/C5C22 ⊆ Aut C22×C4160(C2^2xC4).70(C2xC10)320,1556
(C22×C4).71(C2×C10) = C5×C22.49C24φ: C2×C10/C5C22 ⊆ Aut C22×C4160(C2^2xC4).71(C2xC10)320,1557
(C22×C4).72(C2×C10) = C5×C22.50C24φ: C2×C10/C5C22 ⊆ Aut C22×C4160(C2^2xC4).72(C2xC10)320,1558
(C22×C4).73(C2×C10) = C5×C22.56C24φ: C2×C10/C5C22 ⊆ Aut C22×C4160(C2^2xC4).73(C2xC10)320,1564
(C22×C4).74(C2×C10) = C5×C22.57C24φ: C2×C10/C5C22 ⊆ Aut C22×C4160(C2^2xC4).74(C2xC10)320,1565
(C22×C4).75(C2×C10) = C5×Q8○M4(2)φ: C2×C10/C5C22 ⊆ Aut C22×C4804(C2^2xC4).75(C2xC10)320,1570
(C22×C4).76(C2×C10) = C10×C8⋊C22φ: C2×C10/C5C22 ⊆ Aut C22×C480(C2^2xC4).76(C2xC10)320,1575
(C22×C4).77(C2×C10) = C10×C8.C22φ: C2×C10/C5C22 ⊆ Aut C22×C4160(C2^2xC4).77(C2xC10)320,1576
(C22×C4).78(C2×C10) = C5×D8⋊C22φ: C2×C10/C5C22 ⊆ Aut C22×C4804(C2^2xC4).78(C2xC10)320,1577
(C22×C4).79(C2×C10) = C10×2- 1+4φ: C2×C10/C5C22 ⊆ Aut C22×C4160(C2^2xC4).79(C2xC10)320,1633
(C22×C4).80(C2×C10) = C10×C2.C42φ: C2×C10/C10C2 ⊆ Aut C22×C4320(C2^2xC4).80(C2xC10)320,876
(C22×C4).81(C2×C10) = C5×C424C4φ: C2×C10/C10C2 ⊆ Aut C22×C4320(C2^2xC4).81(C2xC10)320,877
(C22×C4).82(C2×C10) = C22⋊C4×C20φ: C2×C10/C10C2 ⊆ Aut C22×C4160(C2^2xC4).82(C2xC10)320,878
(C22×C4).83(C2×C10) = C4⋊C4×C20φ: C2×C10/C10C2 ⊆ Aut C22×C4320(C2^2xC4).83(C2xC10)320,879
(C22×C4).84(C2×C10) = C5×C23.7Q8φ: C2×C10/C10C2 ⊆ Aut C22×C4160(C2^2xC4).84(C2xC10)320,881
(C22×C4).85(C2×C10) = C5×C425C4φ: C2×C10/C10C2 ⊆ Aut C22×C4320(C2^2xC4).85(C2xC10)320,884
(C22×C4).86(C2×C10) = C5×C23.8Q8φ: C2×C10/C10C2 ⊆ Aut C22×C4160(C2^2xC4).86(C2xC10)320,886
(C22×C4).87(C2×C10) = C5×C23.23D4φ: C2×C10/C10C2 ⊆ Aut C22×C4160(C2^2xC4).87(C2xC10)320,887
(C22×C4).88(C2×C10) = C5×C24.C22φ: C2×C10/C10C2 ⊆ Aut C22×C4160(C2^2xC4).88(C2xC10)320,889
(C22×C4).89(C2×C10) = C5×C23.65C23φ: C2×C10/C10C2 ⊆ Aut C22×C4320(C2^2xC4).89(C2xC10)320,890
(C22×C4).90(C2×C10) = C5×C24.3C22φ: C2×C10/C10C2 ⊆ Aut C22×C4160(C2^2xC4).90(C2xC10)320,891
(C22×C4).91(C2×C10) = C5×C23.67C23φ: C2×C10/C10C2 ⊆ Aut C22×C4320(C2^2xC4).91(C2xC10)320,892
(C22×C4).92(C2×C10) = C5×C24.4C4φ: C2×C10/C10C2 ⊆ Aut C22×C480(C2^2xC4).92(C2xC10)320,908
(C22×C4).93(C2×C10) = C5×C42.12C4φ: C2×C10/C10C2 ⊆ Aut C22×C4160(C2^2xC4).93(C2xC10)320,932
(C22×C4).94(C2×C10) = C5×C42.6C4φ: C2×C10/C10C2 ⊆ Aut C22×C4160(C2^2xC4).94(C2xC10)320,933
(C22×C4).95(C2×C10) = D4×C40φ: C2×C10/C10C2 ⊆ Aut C22×C4160(C2^2xC4).95(C2xC10)320,935
(C22×C4).96(C2×C10) = C5×C89D4φ: C2×C10/C10C2 ⊆ Aut C22×C4160(C2^2xC4).96(C2xC10)320,936
(C22×C4).97(C2×C10) = C10×C42⋊C2φ: C2×C10/C10C2 ⊆ Aut C22×C4160(C2^2xC4).97(C2xC10)320,1516
(C22×C4).98(C2×C10) = Q8×C2×C20φ: C2×C10/C10C2 ⊆ Aut C22×C4320(C2^2xC4).98(C2xC10)320,1518
(C22×C4).99(C2×C10) = C4○D4×C20φ: C2×C10/C10C2 ⊆ Aut C22×C4160(C2^2xC4).99(C2xC10)320,1519
(C22×C4).100(C2×C10) = C10×C4.4D4φ: C2×C10/C10C2 ⊆ Aut C22×C4160(C2^2xC4).100(C2xC10)320,1528
(C22×C4).101(C2×C10) = C10×C42.C2φ: C2×C10/C10C2 ⊆ Aut C22×C4320(C2^2xC4).101(C2xC10)320,1529
(C22×C4).102(C2×C10) = C10×C422C2φ: C2×C10/C10C2 ⊆ Aut C22×C4160(C2^2xC4).102(C2xC10)320,1530
(C22×C4).103(C2×C10) = C5×C426C4φ: C2×C10/C10C2 ⊆ Aut C22×C480(C2^2xC4).103(C2xC10)320,144
(C22×C4).104(C2×C10) = C5×C22.4Q16φ: C2×C10/C10C2 ⊆ Aut C22×C4320(C2^2xC4).104(C2xC10)320,145
(C22×C4).105(C2×C10) = C5×C4.C42φ: C2×C10/C10C2 ⊆ Aut C22×C4160(C2^2xC4).105(C2xC10)320,146
(C22×C4).106(C2×C10) = C5×C428C4φ: C2×C10/C10C2 ⊆ Aut C22×C4320(C2^2xC4).106(C2xC10)320,883
(C22×C4).107(C2×C10) = C5×C429C4φ: C2×C10/C10C2 ⊆ Aut C22×C4320(C2^2xC4).107(C2xC10)320,885
(C22×C4).108(C2×C10) = M4(2)×C20φ: C2×C10/C10C2 ⊆ Aut C22×C4160(C2^2xC4).108(C2xC10)320,905
(C22×C4).109(C2×C10) = C5×C82M4(2)φ: C2×C10/C10C2 ⊆ Aut C22×C4160(C2^2xC4).109(C2xC10)320,906
(C22×C4).110(C2×C10) = C10×D4⋊C4φ: C2×C10/C10C2 ⊆ Aut C22×C4160(C2^2xC4).110(C2xC10)320,915
(C22×C4).111(C2×C10) = C10×Q8⋊C4φ: C2×C10/C10C2 ⊆ Aut C22×C4320(C2^2xC4).111(C2xC10)320,916
(C22×C4).112(C2×C10) = C5×C23.24D4φ: C2×C10/C10C2 ⊆ Aut C22×C4160(C2^2xC4).112(C2xC10)320,917
(C22×C4).113(C2×C10) = C10×C4≀C2φ: C2×C10/C10C2 ⊆ Aut C22×C480(C2^2xC4).113(C2xC10)320,921
(C22×C4).114(C2×C10) = C5×C4⋊M4(2)φ: C2×C10/C10C2 ⊆ Aut C22×C4160(C2^2xC4).114(C2xC10)320,924
(C22×C4).115(C2×C10) = C5×C42.6C22φ: C2×C10/C10C2 ⊆ Aut C22×C4160(C2^2xC4).115(C2xC10)320,925
(C22×C4).116(C2×C10) = C10×C4.Q8φ: C2×C10/C10C2 ⊆ Aut C22×C4320(C2^2xC4).116(C2xC10)320,926
(C22×C4).117(C2×C10) = C10×C2.D8φ: C2×C10/C10C2 ⊆ Aut C22×C4320(C2^2xC4).117(C2xC10)320,927
(C22×C4).118(C2×C10) = C5×C23.25D4φ: C2×C10/C10C2 ⊆ Aut C22×C4160(C2^2xC4).118(C2xC10)320,928
(C22×C4).119(C2×C10) = C10×C8.C4φ: C2×C10/C10C2 ⊆ Aut C22×C4160(C2^2xC4).119(C2xC10)320,930
(C22×C4).120(C2×C10) = C5×C88D4φ: C2×C10/C10C2 ⊆ Aut C22×C4160(C2^2xC4).120(C2xC10)320,966
(C22×C4).121(C2×C10) = C5×C87D4φ: C2×C10/C10C2 ⊆ Aut C22×C4160(C2^2xC4).121(C2xC10)320,967
(C22×C4).122(C2×C10) = C5×C8.18D4φ: C2×C10/C10C2 ⊆ Aut C22×C4160(C2^2xC4).122(C2xC10)320,968
(C22×C4).123(C2×C10) = C4⋊C4×C2×C10φ: C2×C10/C10C2 ⊆ Aut C22×C4320(C2^2xC4).123(C2xC10)320,1515
(C22×C4).124(C2×C10) = C10×C41D4φ: C2×C10/C10C2 ⊆ Aut C22×C4160(C2^2xC4).124(C2xC10)320,1532
(C22×C4).125(C2×C10) = C5×C23.37C23φ: C2×C10/C10C2 ⊆ Aut C22×C4160(C2^2xC4).125(C2xC10)320,1535
(C22×C4).126(C2×C10) = M4(2)×C2×C10φ: C2×C10/C10C2 ⊆ Aut C22×C4160(C2^2xC4).126(C2xC10)320,1568
(C22×C4).127(C2×C10) = C10×C8○D4φ: C2×C10/C10C2 ⊆ Aut C22×C4160(C2^2xC4).127(C2xC10)320,1569
(C22×C4).128(C2×C10) = D8×C2×C10φ: C2×C10/C10C2 ⊆ Aut C22×C4160(C2^2xC4).128(C2xC10)320,1571
(C22×C4).129(C2×C10) = SD16×C2×C10φ: C2×C10/C10C2 ⊆ Aut C22×C4160(C2^2xC4).129(C2xC10)320,1572
(C22×C4).130(C2×C10) = Q16×C2×C10φ: C2×C10/C10C2 ⊆ Aut C22×C4320(C2^2xC4).130(C2xC10)320,1573
(C22×C4).131(C2×C10) = C10×C4○D8φ: C2×C10/C10C2 ⊆ Aut C22×C4160(C2^2xC4).131(C2xC10)320,1574
(C22×C4).132(C2×C10) = Q8×C22×C10φ: C2×C10/C10C2 ⊆ Aut C22×C4320(C2^2xC4).132(C2xC10)320,1630
(C22×C4).133(C2×C10) = C5×C22.7C42central extension (φ=1)320(C2^2xC4).133(C2xC10)320,141
(C22×C4).134(C2×C10) = C10×C8⋊C4central extension (φ=1)320(C2^2xC4).134(C2xC10)320,904
(C22×C4).135(C2×C10) = C10×C22⋊C8central extension (φ=1)160(C2^2xC4).135(C2xC10)320,907
(C22×C4).136(C2×C10) = C10×C4⋊C8central extension (φ=1)320(C2^2xC4).136(C2xC10)320,923

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