Extensions 1→N→G→Q→1 with N=C2xC8 and Q=C2xC10

Direct product G=NxQ with N=C2xC8 and Q=C2xC10
dρLabelID
C23xC40320C2^3xC40320,1567

Semidirect products G=N:Q with N=C2xC8 and Q=C2xC10
extensionφ:Q→Aut NdρLabelID
(C2xC8):1(C2xC10) = C5xC22:D8φ: C2xC10/C5C22 ⊆ Aut C2xC880(C2xC8):1(C2xC10)320,948
(C2xC8):2(C2xC10) = C10xC8:C22φ: C2xC10/C5C22 ⊆ Aut C2xC880(C2xC8):2(C2xC10)320,1575
(C2xC8):3(C2xC10) = C5xD8:C22φ: C2xC10/C5C22 ⊆ Aut C2xC8804(C2xC8):3(C2xC10)320,1577
(C2xC8):4(C2xC10) = C5xD4oD8φ: C2xC10/C5C22 ⊆ Aut C2xC8804(C2xC8):4(C2xC10)320,1578
(C2xC8):5(C2xC10) = C5xD4oSD16φ: C2xC10/C5C22 ⊆ Aut C2xC8804(C2xC8):5(C2xC10)320,1579
(C2xC8):6(C2xC10) = C5xC22:SD16φ: C2xC10/C5C22 ⊆ Aut C2xC880(C2xC8):6(C2xC10)320,951
(C2xC8):7(C2xC10) = C5xC24.4C4φ: C2xC10/C5C22 ⊆ Aut C2xC880(C2xC8):7(C2xC10)320,908
(C2xC8):8(C2xC10) = C5xC23.37D4φ: C2xC10/C5C22 ⊆ Aut C2xC880(C2xC8):8(C2xC10)320,919
(C2xC8):9(C2xC10) = C5xQ8oM4(2)φ: C2xC10/C5C22 ⊆ Aut C2xC8804(C2xC8):9(C2xC10)320,1570
(C2xC8):10(C2xC10) = C10xC22:C8φ: C2xC10/C10C2 ⊆ Aut C2xC8160(C2xC8):10(C2xC10)320,907
(C2xC8):11(C2xC10) = C10xD4:C4φ: C2xC10/C10C2 ⊆ Aut C2xC8160(C2xC8):11(C2xC10)320,915
(C2xC8):12(C2xC10) = D8xC2xC10φ: C2xC10/C10C2 ⊆ Aut C2xC8160(C2xC8):12(C2xC10)320,1571
(C2xC8):13(C2xC10) = C10xC4oD8φ: C2xC10/C10C2 ⊆ Aut C2xC8160(C2xC8):13(C2xC10)320,1574
(C2xC8):14(C2xC10) = SD16xC2xC10φ: C2xC10/C10C2 ⊆ Aut C2xC8160(C2xC8):14(C2xC10)320,1572
(C2xC8):15(C2xC10) = M4(2)xC2xC10φ: C2xC10/C10C2 ⊆ Aut C2xC8160(C2xC8):15(C2xC10)320,1568
(C2xC8):16(C2xC10) = C10xC8oD4φ: C2xC10/C10C2 ⊆ Aut C2xC8160(C2xC8):16(C2xC10)320,1569

Non-split extensions G=N.Q with N=C2xC8 and Q=C2xC10
extensionφ:Q→Aut NdρLabelID
(C2xC8).1(C2xC10) = C5xD4:D4φ: C2xC10/C5C22 ⊆ Aut C2xC8160(C2xC8).1(C2xC10)320,950
(C2xC8).2(C2xC10) = C5xC22:Q16φ: C2xC10/C5C22 ⊆ Aut C2xC8160(C2xC8).2(C2xC10)320,952
(C2xC8).3(C2xC10) = C5xC4:D8φ: C2xC10/C5C22 ⊆ Aut C2xC8160(C2xC8).3(C2xC10)320,960
(C2xC8).4(C2xC10) = C5xC4:2Q16φ: C2xC10/C5C22 ⊆ Aut C2xC8320(C2xC8).4(C2xC10)320,963
(C2xC8).5(C2xC10) = C5xQ8.D4φ: C2xC10/C5C22 ⊆ Aut C2xC8160(C2xC8).5(C2xC10)320,965
(C2xC8).6(C2xC10) = C5xD4:Q8φ: C2xC10/C5C22 ⊆ Aut C2xC8160(C2xC8).6(C2xC10)320,975
(C2xC8).7(C2xC10) = C5xC4.Q16φ: C2xC10/C5C22 ⊆ Aut C2xC8320(C2xC8).7(C2xC10)320,978
(C2xC8).8(C2xC10) = C5xQ8.Q8φ: C2xC10/C5C22 ⊆ Aut C2xC8320(C2xC8).8(C2xC10)320,980
(C2xC8).9(C2xC10) = C5xC22.D8φ: C2xC10/C5C22 ⊆ Aut C2xC8160(C2xC8).9(C2xC10)320,981
(C2xC8).10(C2xC10) = C5xC23.48D4φ: C2xC10/C5C22 ⊆ Aut C2xC8160(C2xC8).10(C2xC10)320,985
(C2xC8).11(C2xC10) = C5xC23.20D4φ: C2xC10/C5C22 ⊆ Aut C2xC8160(C2xC8).11(C2xC10)320,986
(C2xC8).12(C2xC10) = C5xD8:2C4φ: C2xC10/C5C22 ⊆ Aut C2xC8804(C2xC8).12(C2xC10)320,165
(C2xC8).13(C2xC10) = C5xM5(2):C2φ: C2xC10/C5C22 ⊆ Aut C2xC8804(C2xC8).13(C2xC10)320,166
(C2xC8).14(C2xC10) = C5xC8.17D4φ: C2xC10/C5C22 ⊆ Aut C2xC81604(C2xC8).14(C2xC10)320,167
(C2xC8).15(C2xC10) = C5xC8.Q8φ: C2xC10/C5C22 ⊆ Aut C2xC8804(C2xC8).15(C2xC10)320,170
(C2xC8).16(C2xC10) = C5xM4(2):C4φ: C2xC10/C5C22 ⊆ Aut C2xC8160(C2xC8).16(C2xC10)320,929
(C2xC8).17(C2xC10) = C5xM4(2).C4φ: C2xC10/C5C22 ⊆ Aut C2xC8804(C2xC8).17(C2xC10)320,931
(C2xC8).18(C2xC10) = C5xSD16:C4φ: C2xC10/C5C22 ⊆ Aut C2xC8160(C2xC8).18(C2xC10)320,941
(C2xC8).19(C2xC10) = C5xQ16:C4φ: C2xC10/C5C22 ⊆ Aut C2xC8320(C2xC8).19(C2xC10)320,942
(C2xC8).20(C2xC10) = C5xD8:C4φ: C2xC10/C5C22 ⊆ Aut C2xC8160(C2xC8).20(C2xC10)320,943
(C2xC8).21(C2xC10) = C5xC8:D4φ: C2xC10/C5C22 ⊆ Aut C2xC8160(C2xC8).21(C2xC10)320,969
(C2xC8).22(C2xC10) = C5xC8:2D4φ: C2xC10/C5C22 ⊆ Aut C2xC8160(C2xC8).22(C2xC10)320,970
(C2xC8).23(C2xC10) = C5xC8.D4φ: C2xC10/C5C22 ⊆ Aut C2xC8160(C2xC8).23(C2xC10)320,971
(C2xC8).24(C2xC10) = C5xD4.3D4φ: C2xC10/C5C22 ⊆ Aut C2xC8804(C2xC8).24(C2xC10)320,972
(C2xC8).25(C2xC10) = C5xD4.4D4φ: C2xC10/C5C22 ⊆ Aut C2xC8804(C2xC8).25(C2xC10)320,973
(C2xC8).26(C2xC10) = C5xD4.5D4φ: C2xC10/C5C22 ⊆ Aut C2xC81604(C2xC8).26(C2xC10)320,974
(C2xC8).27(C2xC10) = C5xC8:3D4φ: C2xC10/C5C22 ⊆ Aut C2xC8160(C2xC8).27(C2xC10)320,997
(C2xC8).28(C2xC10) = C5xC8.2D4φ: C2xC10/C5C22 ⊆ Aut C2xC8160(C2xC8).28(C2xC10)320,998
(C2xC8).29(C2xC10) = C5xC8:Q8φ: C2xC10/C5C22 ⊆ Aut C2xC8320(C2xC8).29(C2xC10)320,1002
(C2xC8).30(C2xC10) = C5xC16:C22φ: C2xC10/C5C22 ⊆ Aut C2xC8804(C2xC8).30(C2xC10)320,1010
(C2xC8).31(C2xC10) = C5xQ32:C2φ: C2xC10/C5C22 ⊆ Aut C2xC81604(C2xC8).31(C2xC10)320,1011
(C2xC8).32(C2xC10) = C10xC8.C22φ: C2xC10/C5C22 ⊆ Aut C2xC8160(C2xC8).32(C2xC10)320,1576
(C2xC8).33(C2xC10) = C5xQ8oD8φ: C2xC10/C5C22 ⊆ Aut C2xC81604(C2xC8).33(C2xC10)320,1580
(C2xC8).34(C2xC10) = C5xQ8:D4φ: C2xC10/C5C22 ⊆ Aut C2xC8160(C2xC8).34(C2xC10)320,949
(C2xC8).35(C2xC10) = C5xD4.7D4φ: C2xC10/C5C22 ⊆ Aut C2xC8160(C2xC8).35(C2xC10)320,953
(C2xC8).36(C2xC10) = C5xC4:SD16φ: C2xC10/C5C22 ⊆ Aut C2xC8160(C2xC8).36(C2xC10)320,961
(C2xC8).37(C2xC10) = C5xD4.D4φ: C2xC10/C5C22 ⊆ Aut C2xC8160(C2xC8).37(C2xC10)320,962
(C2xC8).38(C2xC10) = C5xD4.2D4φ: C2xC10/C5C22 ⊆ Aut C2xC8160(C2xC8).38(C2xC10)320,964
(C2xC8).39(C2xC10) = C5xQ8:Q8φ: C2xC10/C5C22 ⊆ Aut C2xC8320(C2xC8).39(C2xC10)320,976
(C2xC8).40(C2xC10) = C5xD4:2Q8φ: C2xC10/C5C22 ⊆ Aut C2xC8160(C2xC8).40(C2xC10)320,977
(C2xC8).41(C2xC10) = C5xD4.Q8φ: C2xC10/C5C22 ⊆ Aut C2xC8160(C2xC8).41(C2xC10)320,979
(C2xC8).42(C2xC10) = C5xC23.46D4φ: C2xC10/C5C22 ⊆ Aut C2xC8160(C2xC8).42(C2xC10)320,982
(C2xC8).43(C2xC10) = C5xC23.19D4φ: C2xC10/C5C22 ⊆ Aut C2xC8160(C2xC8).43(C2xC10)320,983
(C2xC8).44(C2xC10) = C5xC23.47D4φ: C2xC10/C5C22 ⊆ Aut C2xC8160(C2xC8).44(C2xC10)320,984
(C2xC8).45(C2xC10) = C5xC16:C4φ: C2xC10/C5C22 ⊆ Aut C2xC8804(C2xC8).45(C2xC10)320,152
(C2xC8).46(C2xC10) = C5xC23.C8φ: C2xC10/C5C22 ⊆ Aut C2xC8804(C2xC8).46(C2xC10)320,154
(C2xC8).47(C2xC10) = C5xC23.36D4φ: C2xC10/C5C22 ⊆ Aut C2xC8160(C2xC8).47(C2xC10)320,918
(C2xC8).48(C2xC10) = C5xC23.38D4φ: C2xC10/C5C22 ⊆ Aut C2xC8160(C2xC8).48(C2xC10)320,920
(C2xC8).49(C2xC10) = C5xC4:M4(2)φ: C2xC10/C5C22 ⊆ Aut C2xC8160(C2xC8).49(C2xC10)320,924
(C2xC8).50(C2xC10) = C5xC42.6C4φ: C2xC10/C5C22 ⊆ Aut C2xC8160(C2xC8).50(C2xC10)320,933
(C2xC8).51(C2xC10) = C5xC42.7C22φ: C2xC10/C5C22 ⊆ Aut C2xC8160(C2xC8).51(C2xC10)320,934
(C2xC8).52(C2xC10) = C5xC8:9D4φ: C2xC10/C5C22 ⊆ Aut C2xC8160(C2xC8).52(C2xC10)320,936
(C2xC8).53(C2xC10) = C5xC8:6D4φ: C2xC10/C5C22 ⊆ Aut C2xC8160(C2xC8).53(C2xC10)320,937
(C2xC8).54(C2xC10) = C5xC8.26D4φ: C2xC10/C5C22 ⊆ Aut C2xC8804(C2xC8).54(C2xC10)320,945
(C2xC8).55(C2xC10) = C5xC8:4Q8φ: C2xC10/C5C22 ⊆ Aut C2xC8320(C2xC8).55(C2xC10)320,947
(C2xC8).56(C2xC10) = C5xC42.28C22φ: C2xC10/C5C22 ⊆ Aut C2xC8160(C2xC8).56(C2xC10)320,990
(C2xC8).57(C2xC10) = C5xC42.29C22φ: C2xC10/C5C22 ⊆ Aut C2xC8160(C2xC8).57(C2xC10)320,991
(C2xC8).58(C2xC10) = C5xC42.30C22φ: C2xC10/C5C22 ⊆ Aut C2xC8320(C2xC8).58(C2xC10)320,992
(C2xC8).59(C2xC10) = C5x(C22xC8):C2φ: C2xC10/C10C2 ⊆ Aut C2xC8160(C2xC8).59(C2xC10)320,909
(C2xC8).60(C2xC10) = C10xQ8:C4φ: C2xC10/C10C2 ⊆ Aut C2xC8320(C2xC8).60(C2xC10)320,916
(C2xC8).61(C2xC10) = C5xC23.24D4φ: C2xC10/C10C2 ⊆ Aut C2xC8160(C2xC8).61(C2xC10)320,917
(C2xC8).62(C2xC10) = C10xC4:C8φ: C2xC10/C10C2 ⊆ Aut C2xC8320(C2xC8).62(C2xC10)320,923
(C2xC8).63(C2xC10) = C5xC42.6C22φ: C2xC10/C10C2 ⊆ Aut C2xC8160(C2xC8).63(C2xC10)320,925
(C2xC8).64(C2xC10) = C5xC42.12C4φ: C2xC10/C10C2 ⊆ Aut C2xC8160(C2xC8).64(C2xC10)320,932
(C2xC8).65(C2xC10) = D8xC20φ: C2xC10/C10C2 ⊆ Aut C2xC8160(C2xC8).65(C2xC10)320,938
(C2xC8).66(C2xC10) = SD16xC20φ: C2xC10/C10C2 ⊆ Aut C2xC8160(C2xC8).66(C2xC10)320,939
(C2xC8).67(C2xC10) = Q16xC20φ: C2xC10/C10C2 ⊆ Aut C2xC8320(C2xC8).67(C2xC10)320,940
(C2xC8).68(C2xC10) = C5xC4.4D8φ: C2xC10/C10C2 ⊆ Aut C2xC8160(C2xC8).68(C2xC10)320,987
(C2xC8).69(C2xC10) = C5xC4.SD16φ: C2xC10/C10C2 ⊆ Aut C2xC8320(C2xC8).69(C2xC10)320,988
(C2xC8).70(C2xC10) = C5xC42.78C22φ: C2xC10/C10C2 ⊆ Aut C2xC8160(C2xC8).70(C2xC10)320,989
(C2xC8).71(C2xC10) = C5xC2.D16φ: C2xC10/C10C2 ⊆ Aut C2xC8160(C2xC8).71(C2xC10)320,162
(C2xC8).72(C2xC10) = C5xC2.Q32φ: C2xC10/C10C2 ⊆ Aut C2xC8320(C2xC8).72(C2xC10)320,163
(C2xC8).73(C2xC10) = C5xC16:3C4φ: C2xC10/C10C2 ⊆ Aut C2xC8320(C2xC8).73(C2xC10)320,171
(C2xC8).74(C2xC10) = C5xC16:4C4φ: C2xC10/C10C2 ⊆ Aut C2xC8320(C2xC8).74(C2xC10)320,172
(C2xC8).75(C2xC10) = C10xC2.D8φ: C2xC10/C10C2 ⊆ Aut C2xC8320(C2xC8).75(C2xC10)320,927
(C2xC8).76(C2xC10) = C5xC23.25D4φ: C2xC10/C10C2 ⊆ Aut C2xC8160(C2xC8).76(C2xC10)320,928
(C2xC8).77(C2xC10) = C5xC8:7D4φ: C2xC10/C10C2 ⊆ Aut C2xC8160(C2xC8).77(C2xC10)320,967
(C2xC8).78(C2xC10) = C5xC8.18D4φ: C2xC10/C10C2 ⊆ Aut C2xC8160(C2xC8).78(C2xC10)320,968
(C2xC8).79(C2xC10) = C5xC8:4D4φ: C2xC10/C10C2 ⊆ Aut C2xC8160(C2xC8).79(C2xC10)320,994
(C2xC8).80(C2xC10) = C5xC4:Q16φ: C2xC10/C10C2 ⊆ Aut C2xC8320(C2xC8).80(C2xC10)320,995
(C2xC8).81(C2xC10) = C5xC8.12D4φ: C2xC10/C10C2 ⊆ Aut C2xC8160(C2xC8).81(C2xC10)320,996
(C2xC8).82(C2xC10) = C5xC8.5Q8φ: C2xC10/C10C2 ⊆ Aut C2xC8320(C2xC8).82(C2xC10)320,1000
(C2xC8).83(C2xC10) = C5xC8:2Q8φ: C2xC10/C10C2 ⊆ Aut C2xC8320(C2xC8).83(C2xC10)320,1001
(C2xC8).84(C2xC10) = C10xD16φ: C2xC10/C10C2 ⊆ Aut C2xC8160(C2xC8).84(C2xC10)320,1006
(C2xC8).85(C2xC10) = C10xSD32φ: C2xC10/C10C2 ⊆ Aut C2xC8160(C2xC8).85(C2xC10)320,1007
(C2xC8).86(C2xC10) = C10xQ32φ: C2xC10/C10C2 ⊆ Aut C2xC8320(C2xC8).86(C2xC10)320,1008
(C2xC8).87(C2xC10) = Q16xC2xC10φ: C2xC10/C10C2 ⊆ Aut C2xC8320(C2xC8).87(C2xC10)320,1573
(C2xC8).88(C2xC10) = C5xD8.C4φ: C2xC10/C10C2 ⊆ Aut C2xC81602(C2xC8).88(C2xC10)320,164
(C2xC8).89(C2xC10) = C5xC8.4Q8φ: C2xC10/C10C2 ⊆ Aut C2xC81602(C2xC8).89(C2xC10)320,173
(C2xC8).90(C2xC10) = C10xC8.C4φ: C2xC10/C10C2 ⊆ Aut C2xC8160(C2xC8).90(C2xC10)320,930
(C2xC8).91(C2xC10) = C5xC4oD16φ: C2xC10/C10C2 ⊆ Aut C2xC81602(C2xC8).91(C2xC10)320,1009
(C2xC8).92(C2xC10) = C10xC4.Q8φ: C2xC10/C10C2 ⊆ Aut C2xC8320(C2xC8).92(C2xC10)320,926
(C2xC8).93(C2xC10) = C5xC8:8D4φ: C2xC10/C10C2 ⊆ Aut C2xC8160(C2xC8).93(C2xC10)320,966
(C2xC8).94(C2xC10) = C5xC8:5D4φ: C2xC10/C10C2 ⊆ Aut C2xC8160(C2xC8).94(C2xC10)320,993
(C2xC8).95(C2xC10) = C5xC8:3Q8φ: C2xC10/C10C2 ⊆ Aut C2xC8320(C2xC8).95(C2xC10)320,999
(C2xC8).96(C2xC10) = C5xD4.C8φ: C2xC10/C10C2 ⊆ Aut C2xC81602(C2xC8).96(C2xC10)320,155
(C2xC8).97(C2xC10) = C5xC8.C8φ: C2xC10/C10C2 ⊆ Aut C2xC8802(C2xC8).97(C2xC10)320,169
(C2xC8).98(C2xC10) = C10xC8:C4φ: C2xC10/C10C2 ⊆ Aut C2xC8320(C2xC8).98(C2xC10)320,904
(C2xC8).99(C2xC10) = M4(2)xC20φ: C2xC10/C10C2 ⊆ Aut C2xC8160(C2xC8).99(C2xC10)320,905
(C2xC8).100(C2xC10) = C5xC8o2M4(2)φ: C2xC10/C10C2 ⊆ Aut C2xC8160(C2xC8).100(C2xC10)320,906
(C2xC8).101(C2xC10) = C5xC8oD8φ: C2xC10/C10C2 ⊆ Aut C2xC8802(C2xC8).101(C2xC10)320,944
(C2xC8).102(C2xC10) = C10xM5(2)φ: C2xC10/C10C2 ⊆ Aut C2xC8160(C2xC8).102(C2xC10)320,1004
(C2xC8).103(C2xC10) = C5xD4oC16φ: C2xC10/C10C2 ⊆ Aut C2xC81602(C2xC8).103(C2xC10)320,1005
(C2xC8).104(C2xC10) = C5xC16:5C4central extension (φ=1)320(C2xC8).104(C2xC10)320,151
(C2xC8).105(C2xC10) = C5xC22:C16central extension (φ=1)160(C2xC8).105(C2xC10)320,153
(C2xC8).106(C2xC10) = C5xC4:C16central extension (φ=1)320(C2xC8).106(C2xC10)320,168
(C2xC8).107(C2xC10) = D4xC40central extension (φ=1)160(C2xC8).107(C2xC10)320,935
(C2xC8).108(C2xC10) = Q8xC40central extension (φ=1)320(C2xC8).108(C2xC10)320,946

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