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Extensions 1→N→G→Q→1 with N=C2×C4 and Q=Dic10

Direct product G=N×Q with N=C2×C4 and Q=Dic10
dρLabelID
C2×C4×Dic10320C2xC4xDic10320,1139

Semidirect products G=N:Q with N=C2×C4 and Q=Dic10
extensionφ:Q→Aut NdρLabelID
(C2×C4)⋊1Dic10 = (C2×Dic5)⋊Q8φ: Dic10/C10 → C22 ⊆ Aut C2×C4320(C2xC4):1Dic10320,283
(C2×C4)⋊2Dic10 = (C2×C4)⋊Dic10φ: Dic10/C10 → C22 ⊆ Aut C2×C4320(C2xC4):2Dic10320,606
(C2×C4)⋊3Dic10 = C10.12- 1+4φ: Dic10/C10 → C22 ⊆ Aut C2×C4160(C2xC4):3Dic10320,1172
(C2×C4)⋊4Dic10 = C42.90D10φ: Dic10/C10 → C22 ⊆ Aut C2×C4160(C2xC4):4Dic10320,1191
(C2×C4)⋊5Dic10 = (C2×C20)⋊Q8φ: Dic10/Dic5 → C2 ⊆ Aut C2×C4320(C2xC4):5Dic10320,273
(C2×C4)⋊6Dic10 = C2×C20⋊Q8φ: Dic10/Dic5 → C2 ⊆ Aut C2×C4320(C2xC4):6Dic10320,1169
(C2×C4)⋊7Dic10 = C42.88D10φ: Dic10/Dic5 → C2 ⊆ Aut C2×C4160(C2xC4):7Dic10320,1189
(C2×C4)⋊8Dic10 = (C2×C20)⋊10Q8φ: Dic10/C20 → C2 ⊆ Aut C2×C4320(C2xC4):8Dic10320,556
(C2×C4)⋊9Dic10 = C2×C20⋊2Q8φ: Dic10/C20 → C2 ⊆ Aut C2×C4320(C2xC4):9Dic10320,1140
(C2×C4)⋊10Dic10 = C42.274D10φ: Dic10/C20 → C2 ⊆ Aut C2×C4160(C2xC4):10Dic10320,1142

Non-split extensions G=N.Q with N=C2×C4 and Q=Dic10
extensionφ:Q→Aut NdρLabelID
(C2×C4).1Dic10 = (C2×C20).Q8φ: Dic10/C10 → C22 ⊆ Aut C2×C4160(C2xC4).1Dic10320,88
(C2×C4).2Dic10 = C42⋊1Dic5φ: Dic10/C10 → C22 ⊆ Aut C2×C4804(C2xC4).2Dic10320,89
(C2×C4).3Dic10 = C20.60(C4⋊C4)φ: Dic10/C10 → C22 ⊆ Aut C2×C4804(C2xC4).3Dic10320,91
(C2×C4).4Dic10 = M4(2)⋊Dic5φ: Dic10/C10 → C22 ⊆ Aut C2×C4160(C2xC4).4Dic10320,112
(C2×C4).5Dic10 = (C2×C40)⋊C4φ: Dic10/C10 → C22 ⊆ Aut C2×C4804(C2xC4).5Dic10320,114
(C2×C4).6Dic10 = C23.9D20φ: Dic10/C10 → C22 ⊆ Aut C2×C4804(C2xC4).6Dic10320,115
(C2×C4).7Dic10 = M4(2)⋊4Dic5φ: Dic10/C10 → C22 ⊆ Aut C2×C4804(C2xC4).7Dic10320,117
(C2×C4).8Dic10 = C2.(C20⋊Q8)φ: Dic10/C10 → C22 ⊆ Aut C2×C4320(C2xC4).8Dic10320,284
(C2×C4).9Dic10 = (C2×C4).Dic10φ: Dic10/C10 → C22 ⊆ Aut C2×C4320(C2xC4).9Dic10320,287
(C2×C4).10Dic10 = C10.(C4⋊Q8)φ: Dic10/C10 → C22 ⊆ Aut C2×C4320(C2xC4).10Dic10320,288
(C2×C4).11Dic10 = C20.47(C4⋊C4)φ: Dic10/C10 → C22 ⊆ Aut C2×C4160(C2xC4).11Dic10320,591
(C2×C4).12Dic10 = (C2×C20).54D4φ: Dic10/C10 → C22 ⊆ Aut C2×C4320(C2xC4).12Dic10320,611
(C2×C4).13Dic10 = (C2×C20).55D4φ: Dic10/C10 → C22 ⊆ Aut C2×C4320(C2xC4).13Dic10320,613
(C2×C4).14Dic10 = C20.64(C4⋊C4)φ: Dic10/C10 → C22 ⊆ Aut C2×C4160(C2xC4).14Dic10320,622
(C2×C4).15Dic10 = C23.47D20φ: Dic10/C10 → C22 ⊆ Aut C2×C4160(C2xC4).15Dic10320,748
(C2×C4).16Dic10 = C23.Dic10φ: Dic10/C10 → C22 ⊆ Aut C2×C4804(C2xC4).16Dic10320,751
(C2×C4).17Dic10 = M4(2).Dic5φ: Dic10/C10 → C22 ⊆ Aut C2×C4804(C2xC4).17Dic10320,752
(C2×C4).18Dic10 = C20.53D8φ: Dic10/Dic5 → C2 ⊆ Aut C2×C4320(C2xC4).18Dic10320,37
(C2×C4).19Dic10 = C20.39SD16φ: Dic10/Dic5 → C2 ⊆ Aut C2×C4320(C2xC4).19Dic10320,38
(C2×C4).20Dic10 = C10.49(C4×D4)φ: Dic10/Dic5 → C2 ⊆ Aut C2×C4320(C2xC4).20Dic10320,274
(C2×C4).21Dic10 = C4⋊Dic5⋊15C4φ: Dic10/Dic5 → C2 ⊆ Aut C2×C4320(C2xC4).21Dic10320,281
(C2×C4).22Dic10 = C10.52(C4×D4)φ: Dic10/Dic5 → C2 ⊆ Aut C2×C4320(C2xC4).22Dic10320,282
(C2×C4).23Dic10 = C20.31C42φ: Dic10/Dic5 → C2 ⊆ Aut C2×C4320(C2xC4).23Dic10320,87
(C2×C4).24Dic10 = C20.32C42φ: Dic10/Dic5 → C2 ⊆ Aut C2×C480(C2xC4).24Dic10320,90
(C2×C4).25Dic10 = C20.33C42φ: Dic10/Dic5 → C2 ⊆ Aut C2×C480(C2xC4).25Dic10320,113
(C2×C4).26Dic10 = C2×C10.D8φ: Dic10/Dic5 → C2 ⊆ Aut C2×C4320(C2xC4).26Dic10320,589
(C2×C4).27Dic10 = C2×C20.Q8φ: Dic10/Dic5 → C2 ⊆ Aut C2×C4320(C2xC4).27Dic10320,590
(C2×C4).28Dic10 = C20⋊4(C4⋊C4)φ: Dic10/Dic5 → C2 ⊆ Aut C2×C4320(C2xC4).28Dic10320,600
(C2×C4).29Dic10 = C20⋊5(C4⋊C4)φ: Dic10/Dic5 → C2 ⊆ Aut C2×C4320(C2xC4).29Dic10320,603
(C2×C4).30Dic10 = C20.48(C4⋊C4)φ: Dic10/Dic5 → C2 ⊆ Aut C2×C4320(C2xC4).30Dic10320,604
(C2×C4).31Dic10 = C20⋊6(C4⋊C4)φ: Dic10/Dic5 → C2 ⊆ Aut C2×C4320(C2xC4).31Dic10320,612
(C2×C4).32Dic10 = C20.76(C4⋊C4)φ: Dic10/Dic5 → C2 ⊆ Aut C2×C4160(C2xC4).32Dic10320,625
(C2×C4).33Dic10 = C42.43D10φ: Dic10/Dic5 → C2 ⊆ Aut C2×C4160(C2xC4).33Dic10320,626
(C2×C4).34Dic10 = Dic5⋊5M4(2)φ: Dic10/Dic5 → C2 ⊆ Aut C2×C4160(C2xC4).34Dic10320,745
(C2×C4).35Dic10 = C20.51(C4⋊C4)φ: Dic10/Dic5 → C2 ⊆ Aut C2×C4160(C2xC4).35Dic10320,746
(C2×C4).36Dic10 = C2×C20.53D4φ: Dic10/Dic5 → C2 ⊆ Aut C2×C4160(C2xC4).36Dic10320,750
(C2×C4).37Dic10 = C2×C4.Dic10φ: Dic10/Dic5 → C2 ⊆ Aut C2×C4320(C2xC4).37Dic10320,1171
(C2×C4).38Dic10 = C40⋊6C8φ: Dic10/C20 → C2 ⊆ Aut C2×C4320(C2xC4).38Dic10320,15
(C2×C4).39Dic10 = C40⋊5C8φ: Dic10/C20 → C2 ⊆ Aut C2×C4320(C2xC4).39Dic10320,16
(C2×C4).40Dic10 = C20⋊7(C4⋊C4)φ: Dic10/C20 → C2 ⊆ Aut C2×C4320(C2xC4).40Dic10320,555
(C2×C4).41Dic10 = C10.92(C4×D4)φ: Dic10/C20 → C2 ⊆ Aut C2×C4320(C2xC4).41Dic10320,560
(C2×C4).42Dic10 = C42⋊6Dic5φ: Dic10/C20 → C2 ⊆ Aut C2×C480(C2xC4).42Dic10320,81
(C2×C4).43Dic10 = C20.39C42φ: Dic10/C20 → C2 ⊆ Aut C2×C4320(C2xC4).43Dic10320,109
(C2×C4).44Dic10 = C20⋊13M4(2)φ: Dic10/C20 → C2 ⊆ Aut C2×C4160(C2xC4).44Dic10320,551
(C2×C4).45Dic10 = C42⋊8Dic5φ: Dic10/C20 → C2 ⊆ Aut C2×C4320(C2xC4).45Dic10320,562
(C2×C4).46Dic10 = C42⋊9Dic5φ: Dic10/C20 → C2 ⊆ Aut C2×C4320(C2xC4).46Dic10320,563
(C2×C4).47Dic10 = C20.65(C4⋊C4)φ: Dic10/C20 → C2 ⊆ Aut C2×C4160(C2xC4).47Dic10320,729
(C2×C4).48Dic10 = C2×C40⋊6C4φ: Dic10/C20 → C2 ⊆ Aut C2×C4320(C2xC4).48Dic10320,731
(C2×C4).49Dic10 = C2×C40⋊5C4φ: Dic10/C20 → C2 ⊆ Aut C2×C4320(C2xC4).49Dic10320,732
(C2×C4).50Dic10 = C23.22D20φ: Dic10/C20 → C2 ⊆ Aut C2×C4160(C2xC4).50Dic10320,733
(C2×C4).51Dic10 = C2×C40.6C4φ: Dic10/C20 → C2 ⊆ Aut C2×C4160(C2xC4).51Dic10320,734
(C2×C4).52Dic10 = C2×C20.6Q8φ: Dic10/C20 → C2 ⊆ Aut C2×C4320(C2xC4).52Dic10320,1141
(C2×C4).53Dic10 = (C2×C20)⋊8C8central extension (φ=1)320(C2xC4).53Dic10320,82
(C2×C4).54Dic10 = (C2×C40)⋊15C4central extension (φ=1)320(C2xC4).54Dic10320,108
(C2×C4).55Dic10 = C2×C20⋊3C8central extension (φ=1)320(C2xC4).55Dic10320,550
(C2×C4).56Dic10 = C4×C10.D4central extension (φ=1)320(C2xC4).56Dic10320,558
(C2×C4).57Dic10 = C4×C4⋊Dic5central extension (φ=1)320(C2xC4).57Dic10320,561
(C2×C4).58Dic10 = C2×C20.8Q8central extension (φ=1)320(C2xC4).58Dic10320,726

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