Extensions 1→N→G→Q→1 with N=C2×C8 and Q=C2×C10

Direct product G=N×Q with N=C2×C8 and Q=C2×C10
dρLabelID
C23×C40320C2^3xC40320,1567

Semidirect products G=N:Q with N=C2×C8 and Q=C2×C10
extensionφ:Q→Aut NdρLabelID
(C2×C8)⋊1(C2×C10) = C5×C22⋊D8φ: C2×C10/C5C22 ⊆ Aut C2×C880(C2xC8):1(C2xC10)320,948
(C2×C8)⋊2(C2×C10) = C10×C8⋊C22φ: C2×C10/C5C22 ⊆ Aut C2×C880(C2xC8):2(C2xC10)320,1575
(C2×C8)⋊3(C2×C10) = C5×D8⋊C22φ: C2×C10/C5C22 ⊆ Aut C2×C8804(C2xC8):3(C2xC10)320,1577
(C2×C8)⋊4(C2×C10) = C5×D4○D8φ: C2×C10/C5C22 ⊆ Aut C2×C8804(C2xC8):4(C2xC10)320,1578
(C2×C8)⋊5(C2×C10) = C5×D4○SD16φ: C2×C10/C5C22 ⊆ Aut C2×C8804(C2xC8):5(C2xC10)320,1579
(C2×C8)⋊6(C2×C10) = C5×C22⋊SD16φ: C2×C10/C5C22 ⊆ Aut C2×C880(C2xC8):6(C2xC10)320,951
(C2×C8)⋊7(C2×C10) = C5×C24.4C4φ: C2×C10/C5C22 ⊆ Aut C2×C880(C2xC8):7(C2xC10)320,908
(C2×C8)⋊8(C2×C10) = C5×C23.37D4φ: C2×C10/C5C22 ⊆ Aut C2×C880(C2xC8):8(C2xC10)320,919
(C2×C8)⋊9(C2×C10) = C5×Q8○M4(2)φ: C2×C10/C5C22 ⊆ Aut C2×C8804(C2xC8):9(C2xC10)320,1570
(C2×C8)⋊10(C2×C10) = C10×C22⋊C8φ: C2×C10/C10C2 ⊆ Aut C2×C8160(C2xC8):10(C2xC10)320,907
(C2×C8)⋊11(C2×C10) = C10×D4⋊C4φ: C2×C10/C10C2 ⊆ Aut C2×C8160(C2xC8):11(C2xC10)320,915
(C2×C8)⋊12(C2×C10) = D8×C2×C10φ: C2×C10/C10C2 ⊆ Aut C2×C8160(C2xC8):12(C2xC10)320,1571
(C2×C8)⋊13(C2×C10) = C10×C4○D8φ: C2×C10/C10C2 ⊆ Aut C2×C8160(C2xC8):13(C2xC10)320,1574
(C2×C8)⋊14(C2×C10) = SD16×C2×C10φ: C2×C10/C10C2 ⊆ Aut C2×C8160(C2xC8):14(C2xC10)320,1572
(C2×C8)⋊15(C2×C10) = M4(2)×C2×C10φ: C2×C10/C10C2 ⊆ Aut C2×C8160(C2xC8):15(C2xC10)320,1568
(C2×C8)⋊16(C2×C10) = C10×C8○D4φ: C2×C10/C10C2 ⊆ Aut C2×C8160(C2xC8):16(C2xC10)320,1569

Non-split extensions G=N.Q with N=C2×C8 and Q=C2×C10
extensionφ:Q→Aut NdρLabelID
(C2×C8).1(C2×C10) = C5×D4⋊D4φ: C2×C10/C5C22 ⊆ Aut C2×C8160(C2xC8).1(C2xC10)320,950
(C2×C8).2(C2×C10) = C5×C22⋊Q16φ: C2×C10/C5C22 ⊆ Aut C2×C8160(C2xC8).2(C2xC10)320,952
(C2×C8).3(C2×C10) = C5×C4⋊D8φ: C2×C10/C5C22 ⊆ Aut C2×C8160(C2xC8).3(C2xC10)320,960
(C2×C8).4(C2×C10) = C5×C42Q16φ: C2×C10/C5C22 ⊆ Aut C2×C8320(C2xC8).4(C2xC10)320,963
(C2×C8).5(C2×C10) = C5×Q8.D4φ: C2×C10/C5C22 ⊆ Aut C2×C8160(C2xC8).5(C2xC10)320,965
(C2×C8).6(C2×C10) = C5×D4⋊Q8φ: C2×C10/C5C22 ⊆ Aut C2×C8160(C2xC8).6(C2xC10)320,975
(C2×C8).7(C2×C10) = C5×C4.Q16φ: C2×C10/C5C22 ⊆ Aut C2×C8320(C2xC8).7(C2xC10)320,978
(C2×C8).8(C2×C10) = C5×Q8.Q8φ: C2×C10/C5C22 ⊆ Aut C2×C8320(C2xC8).8(C2xC10)320,980
(C2×C8).9(C2×C10) = C5×C22.D8φ: C2×C10/C5C22 ⊆ Aut C2×C8160(C2xC8).9(C2xC10)320,981
(C2×C8).10(C2×C10) = C5×C23.48D4φ: C2×C10/C5C22 ⊆ Aut C2×C8160(C2xC8).10(C2xC10)320,985
(C2×C8).11(C2×C10) = C5×C23.20D4φ: C2×C10/C5C22 ⊆ Aut C2×C8160(C2xC8).11(C2xC10)320,986
(C2×C8).12(C2×C10) = C5×D82C4φ: C2×C10/C5C22 ⊆ Aut C2×C8804(C2xC8).12(C2xC10)320,165
(C2×C8).13(C2×C10) = C5×M5(2)⋊C2φ: C2×C10/C5C22 ⊆ Aut C2×C8804(C2xC8).13(C2xC10)320,166
(C2×C8).14(C2×C10) = C5×C8.17D4φ: C2×C10/C5C22 ⊆ Aut C2×C81604(C2xC8).14(C2xC10)320,167
(C2×C8).15(C2×C10) = C5×C8.Q8φ: C2×C10/C5C22 ⊆ Aut C2×C8804(C2xC8).15(C2xC10)320,170
(C2×C8).16(C2×C10) = C5×M4(2)⋊C4φ: C2×C10/C5C22 ⊆ Aut C2×C8160(C2xC8).16(C2xC10)320,929
(C2×C8).17(C2×C10) = C5×M4(2).C4φ: C2×C10/C5C22 ⊆ Aut C2×C8804(C2xC8).17(C2xC10)320,931
(C2×C8).18(C2×C10) = C5×SD16⋊C4φ: C2×C10/C5C22 ⊆ Aut C2×C8160(C2xC8).18(C2xC10)320,941
(C2×C8).19(C2×C10) = C5×Q16⋊C4φ: C2×C10/C5C22 ⊆ Aut C2×C8320(C2xC8).19(C2xC10)320,942
(C2×C8).20(C2×C10) = C5×D8⋊C4φ: C2×C10/C5C22 ⊆ Aut C2×C8160(C2xC8).20(C2xC10)320,943
(C2×C8).21(C2×C10) = C5×C8⋊D4φ: C2×C10/C5C22 ⊆ Aut C2×C8160(C2xC8).21(C2xC10)320,969
(C2×C8).22(C2×C10) = C5×C82D4φ: C2×C10/C5C22 ⊆ Aut C2×C8160(C2xC8).22(C2xC10)320,970
(C2×C8).23(C2×C10) = C5×C8.D4φ: C2×C10/C5C22 ⊆ Aut C2×C8160(C2xC8).23(C2xC10)320,971
(C2×C8).24(C2×C10) = C5×D4.3D4φ: C2×C10/C5C22 ⊆ Aut C2×C8804(C2xC8).24(C2xC10)320,972
(C2×C8).25(C2×C10) = C5×D4.4D4φ: C2×C10/C5C22 ⊆ Aut C2×C8804(C2xC8).25(C2xC10)320,973
(C2×C8).26(C2×C10) = C5×D4.5D4φ: C2×C10/C5C22 ⊆ Aut C2×C81604(C2xC8).26(C2xC10)320,974
(C2×C8).27(C2×C10) = C5×C83D4φ: C2×C10/C5C22 ⊆ Aut C2×C8160(C2xC8).27(C2xC10)320,997
(C2×C8).28(C2×C10) = C5×C8.2D4φ: C2×C10/C5C22 ⊆ Aut C2×C8160(C2xC8).28(C2xC10)320,998
(C2×C8).29(C2×C10) = C5×C8⋊Q8φ: C2×C10/C5C22 ⊆ Aut C2×C8320(C2xC8).29(C2xC10)320,1002
(C2×C8).30(C2×C10) = C5×C16⋊C22φ: C2×C10/C5C22 ⊆ Aut C2×C8804(C2xC8).30(C2xC10)320,1010
(C2×C8).31(C2×C10) = C5×Q32⋊C2φ: C2×C10/C5C22 ⊆ Aut C2×C81604(C2xC8).31(C2xC10)320,1011
(C2×C8).32(C2×C10) = C10×C8.C22φ: C2×C10/C5C22 ⊆ Aut C2×C8160(C2xC8).32(C2xC10)320,1576
(C2×C8).33(C2×C10) = C5×Q8○D8φ: C2×C10/C5C22 ⊆ Aut C2×C81604(C2xC8).33(C2xC10)320,1580
(C2×C8).34(C2×C10) = C5×Q8⋊D4φ: C2×C10/C5C22 ⊆ Aut C2×C8160(C2xC8).34(C2xC10)320,949
(C2×C8).35(C2×C10) = C5×D4.7D4φ: C2×C10/C5C22 ⊆ Aut C2×C8160(C2xC8).35(C2xC10)320,953
(C2×C8).36(C2×C10) = C5×C4⋊SD16φ: C2×C10/C5C22 ⊆ Aut C2×C8160(C2xC8).36(C2xC10)320,961
(C2×C8).37(C2×C10) = C5×D4.D4φ: C2×C10/C5C22 ⊆ Aut C2×C8160(C2xC8).37(C2xC10)320,962
(C2×C8).38(C2×C10) = C5×D4.2D4φ: C2×C10/C5C22 ⊆ Aut C2×C8160(C2xC8).38(C2xC10)320,964
(C2×C8).39(C2×C10) = C5×Q8⋊Q8φ: C2×C10/C5C22 ⊆ Aut C2×C8320(C2xC8).39(C2xC10)320,976
(C2×C8).40(C2×C10) = C5×D42Q8φ: C2×C10/C5C22 ⊆ Aut C2×C8160(C2xC8).40(C2xC10)320,977
(C2×C8).41(C2×C10) = C5×D4.Q8φ: C2×C10/C5C22 ⊆ Aut C2×C8160(C2xC8).41(C2xC10)320,979
(C2×C8).42(C2×C10) = C5×C23.46D4φ: C2×C10/C5C22 ⊆ Aut C2×C8160(C2xC8).42(C2xC10)320,982
(C2×C8).43(C2×C10) = C5×C23.19D4φ: C2×C10/C5C22 ⊆ Aut C2×C8160(C2xC8).43(C2xC10)320,983
(C2×C8).44(C2×C10) = C5×C23.47D4φ: C2×C10/C5C22 ⊆ Aut C2×C8160(C2xC8).44(C2xC10)320,984
(C2×C8).45(C2×C10) = C5×C16⋊C4φ: C2×C10/C5C22 ⊆ Aut C2×C8804(C2xC8).45(C2xC10)320,152
(C2×C8).46(C2×C10) = C5×C23.C8φ: C2×C10/C5C22 ⊆ Aut C2×C8804(C2xC8).46(C2xC10)320,154
(C2×C8).47(C2×C10) = C5×C23.36D4φ: C2×C10/C5C22 ⊆ Aut C2×C8160(C2xC8).47(C2xC10)320,918
(C2×C8).48(C2×C10) = C5×C23.38D4φ: C2×C10/C5C22 ⊆ Aut C2×C8160(C2xC8).48(C2xC10)320,920
(C2×C8).49(C2×C10) = C5×C4⋊M4(2)φ: C2×C10/C5C22 ⊆ Aut C2×C8160(C2xC8).49(C2xC10)320,924
(C2×C8).50(C2×C10) = C5×C42.6C4φ: C2×C10/C5C22 ⊆ Aut C2×C8160(C2xC8).50(C2xC10)320,933
(C2×C8).51(C2×C10) = C5×C42.7C22φ: C2×C10/C5C22 ⊆ Aut C2×C8160(C2xC8).51(C2xC10)320,934
(C2×C8).52(C2×C10) = C5×C89D4φ: C2×C10/C5C22 ⊆ Aut C2×C8160(C2xC8).52(C2xC10)320,936
(C2×C8).53(C2×C10) = C5×C86D4φ: C2×C10/C5C22 ⊆ Aut C2×C8160(C2xC8).53(C2xC10)320,937
(C2×C8).54(C2×C10) = C5×C8.26D4φ: C2×C10/C5C22 ⊆ Aut C2×C8804(C2xC8).54(C2xC10)320,945
(C2×C8).55(C2×C10) = C5×C84Q8φ: C2×C10/C5C22 ⊆ Aut C2×C8320(C2xC8).55(C2xC10)320,947
(C2×C8).56(C2×C10) = C5×C42.28C22φ: C2×C10/C5C22 ⊆ Aut C2×C8160(C2xC8).56(C2xC10)320,990
(C2×C8).57(C2×C10) = C5×C42.29C22φ: C2×C10/C5C22 ⊆ Aut C2×C8160(C2xC8).57(C2xC10)320,991
(C2×C8).58(C2×C10) = C5×C42.30C22φ: C2×C10/C5C22 ⊆ Aut C2×C8320(C2xC8).58(C2xC10)320,992
(C2×C8).59(C2×C10) = C5×(C22×C8)⋊C2φ: C2×C10/C10C2 ⊆ Aut C2×C8160(C2xC8).59(C2xC10)320,909
(C2×C8).60(C2×C10) = C10×Q8⋊C4φ: C2×C10/C10C2 ⊆ Aut C2×C8320(C2xC8).60(C2xC10)320,916
(C2×C8).61(C2×C10) = C5×C23.24D4φ: C2×C10/C10C2 ⊆ Aut C2×C8160(C2xC8).61(C2xC10)320,917
(C2×C8).62(C2×C10) = C10×C4⋊C8φ: C2×C10/C10C2 ⊆ Aut C2×C8320(C2xC8).62(C2xC10)320,923
(C2×C8).63(C2×C10) = C5×C42.6C22φ: C2×C10/C10C2 ⊆ Aut C2×C8160(C2xC8).63(C2xC10)320,925
(C2×C8).64(C2×C10) = C5×C42.12C4φ: C2×C10/C10C2 ⊆ Aut C2×C8160(C2xC8).64(C2xC10)320,932
(C2×C8).65(C2×C10) = D8×C20φ: C2×C10/C10C2 ⊆ Aut C2×C8160(C2xC8).65(C2xC10)320,938
(C2×C8).66(C2×C10) = SD16×C20φ: C2×C10/C10C2 ⊆ Aut C2×C8160(C2xC8).66(C2xC10)320,939
(C2×C8).67(C2×C10) = Q16×C20φ: C2×C10/C10C2 ⊆ Aut C2×C8320(C2xC8).67(C2xC10)320,940
(C2×C8).68(C2×C10) = C5×C4.4D8φ: C2×C10/C10C2 ⊆ Aut C2×C8160(C2xC8).68(C2xC10)320,987
(C2×C8).69(C2×C10) = C5×C4.SD16φ: C2×C10/C10C2 ⊆ Aut C2×C8320(C2xC8).69(C2xC10)320,988
(C2×C8).70(C2×C10) = C5×C42.78C22φ: C2×C10/C10C2 ⊆ Aut C2×C8160(C2xC8).70(C2xC10)320,989
(C2×C8).71(C2×C10) = C5×C2.D16φ: C2×C10/C10C2 ⊆ Aut C2×C8160(C2xC8).71(C2xC10)320,162
(C2×C8).72(C2×C10) = C5×C2.Q32φ: C2×C10/C10C2 ⊆ Aut C2×C8320(C2xC8).72(C2xC10)320,163
(C2×C8).73(C2×C10) = C5×C163C4φ: C2×C10/C10C2 ⊆ Aut C2×C8320(C2xC8).73(C2xC10)320,171
(C2×C8).74(C2×C10) = C5×C164C4φ: C2×C10/C10C2 ⊆ Aut C2×C8320(C2xC8).74(C2xC10)320,172
(C2×C8).75(C2×C10) = C10×C2.D8φ: C2×C10/C10C2 ⊆ Aut C2×C8320(C2xC8).75(C2xC10)320,927
(C2×C8).76(C2×C10) = C5×C23.25D4φ: C2×C10/C10C2 ⊆ Aut C2×C8160(C2xC8).76(C2xC10)320,928
(C2×C8).77(C2×C10) = C5×C87D4φ: C2×C10/C10C2 ⊆ Aut C2×C8160(C2xC8).77(C2xC10)320,967
(C2×C8).78(C2×C10) = C5×C8.18D4φ: C2×C10/C10C2 ⊆ Aut C2×C8160(C2xC8).78(C2xC10)320,968
(C2×C8).79(C2×C10) = C5×C84D4φ: C2×C10/C10C2 ⊆ Aut C2×C8160(C2xC8).79(C2xC10)320,994
(C2×C8).80(C2×C10) = C5×C4⋊Q16φ: C2×C10/C10C2 ⊆ Aut C2×C8320(C2xC8).80(C2xC10)320,995
(C2×C8).81(C2×C10) = C5×C8.12D4φ: C2×C10/C10C2 ⊆ Aut C2×C8160(C2xC8).81(C2xC10)320,996
(C2×C8).82(C2×C10) = C5×C8.5Q8φ: C2×C10/C10C2 ⊆ Aut C2×C8320(C2xC8).82(C2xC10)320,1000
(C2×C8).83(C2×C10) = C5×C82Q8φ: C2×C10/C10C2 ⊆ Aut C2×C8320(C2xC8).83(C2xC10)320,1001
(C2×C8).84(C2×C10) = C10×D16φ: C2×C10/C10C2 ⊆ Aut C2×C8160(C2xC8).84(C2xC10)320,1006
(C2×C8).85(C2×C10) = C10×SD32φ: C2×C10/C10C2 ⊆ Aut C2×C8160(C2xC8).85(C2xC10)320,1007
(C2×C8).86(C2×C10) = C10×Q32φ: C2×C10/C10C2 ⊆ Aut C2×C8320(C2xC8).86(C2xC10)320,1008
(C2×C8).87(C2×C10) = Q16×C2×C10φ: C2×C10/C10C2 ⊆ Aut C2×C8320(C2xC8).87(C2xC10)320,1573
(C2×C8).88(C2×C10) = C5×D8.C4φ: C2×C10/C10C2 ⊆ Aut C2×C81602(C2xC8).88(C2xC10)320,164
(C2×C8).89(C2×C10) = C5×C8.4Q8φ: C2×C10/C10C2 ⊆ Aut C2×C81602(C2xC8).89(C2xC10)320,173
(C2×C8).90(C2×C10) = C10×C8.C4φ: C2×C10/C10C2 ⊆ Aut C2×C8160(C2xC8).90(C2xC10)320,930
(C2×C8).91(C2×C10) = C5×C4○D16φ: C2×C10/C10C2 ⊆ Aut C2×C81602(C2xC8).91(C2xC10)320,1009
(C2×C8).92(C2×C10) = C10×C4.Q8φ: C2×C10/C10C2 ⊆ Aut C2×C8320(C2xC8).92(C2xC10)320,926
(C2×C8).93(C2×C10) = C5×C88D4φ: C2×C10/C10C2 ⊆ Aut C2×C8160(C2xC8).93(C2xC10)320,966
(C2×C8).94(C2×C10) = C5×C85D4φ: C2×C10/C10C2 ⊆ Aut C2×C8160(C2xC8).94(C2xC10)320,993
(C2×C8).95(C2×C10) = C5×C83Q8φ: C2×C10/C10C2 ⊆ Aut C2×C8320(C2xC8).95(C2xC10)320,999
(C2×C8).96(C2×C10) = C5×D4.C8φ: C2×C10/C10C2 ⊆ Aut C2×C81602(C2xC8).96(C2xC10)320,155
(C2×C8).97(C2×C10) = C5×C8.C8φ: C2×C10/C10C2 ⊆ Aut C2×C8802(C2xC8).97(C2xC10)320,169
(C2×C8).98(C2×C10) = C10×C8⋊C4φ: C2×C10/C10C2 ⊆ Aut C2×C8320(C2xC8).98(C2xC10)320,904
(C2×C8).99(C2×C10) = M4(2)×C20φ: C2×C10/C10C2 ⊆ Aut C2×C8160(C2xC8).99(C2xC10)320,905
(C2×C8).100(C2×C10) = C5×C82M4(2)φ: C2×C10/C10C2 ⊆ Aut C2×C8160(C2xC8).100(C2xC10)320,906
(C2×C8).101(C2×C10) = C5×C8○D8φ: C2×C10/C10C2 ⊆ Aut C2×C8802(C2xC8).101(C2xC10)320,944
(C2×C8).102(C2×C10) = C10×M5(2)φ: C2×C10/C10C2 ⊆ Aut C2×C8160(C2xC8).102(C2xC10)320,1004
(C2×C8).103(C2×C10) = C5×D4○C16φ: C2×C10/C10C2 ⊆ Aut C2×C81602(C2xC8).103(C2xC10)320,1005
(C2×C8).104(C2×C10) = C5×C165C4central extension (φ=1)320(C2xC8).104(C2xC10)320,151
(C2×C8).105(C2×C10) = C5×C22⋊C16central extension (φ=1)160(C2xC8).105(C2xC10)320,153
(C2×C8).106(C2×C10) = C5×C4⋊C16central extension (φ=1)320(C2xC8).106(C2xC10)320,168
(C2×C8).107(C2×C10) = D4×C40central extension (φ=1)160(C2xC8).107(C2xC10)320,935
(C2×C8).108(C2×C10) = Q8×C40central extension (φ=1)320(C2xC8).108(C2xC10)320,946

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