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Extensions 1→N→G→Q→1 with N=C2 and Q=D10:Q8

Direct product G=NxQ with N=C2 and Q=D10:Q8
dρLabelID
C2xD10:Q8160C2xD10:Q8320,1180


Non-split extensions G=N.Q with N=C2 and Q=D10:Q8
extensionφ:Q→Aut NdρLabelID
C2.1(D10:Q8) = (C2xC20):Q8central extension (φ=1)320C2.1(D10:Q8)320,273
C2.2(D10:Q8) = C10.51(C4xD4)central extension (φ=1)320C2.2(D10:Q8)320,279
C2.3(D10:Q8) = D10:2(C4:C4)central extension (φ=1)160C2.3(D10:Q8)320,294
C2.4(D10:Q8) = D10:3(C4:C4)central extension (φ=1)160C2.4(D10:Q8)320,295
C2.5(D10:Q8) = C10.96(C4xD4)central extension (φ=1)320C2.5(D10:Q8)320,599
C2.6(D10:Q8) = C4:C4:5Dic5central extension (φ=1)320C2.6(D10:Q8)320,608
C2.7(D10:Q8) = D10:5(C4:C4)central extension (φ=1)160C2.7(D10:Q8)320,616
C2.8(D10:Q8) = C2.(C20:Q8)central stem extension (φ=1)320C2.8(D10:Q8)320,284
C2.9(D10:Q8) = (C2xDic5).Q8central stem extension (φ=1)320C2.9(D10:Q8)320,285
C2.10(D10:Q8) = (C2xC4).20D20central stem extension (φ=1)160C2.10(D10:Q8)320,300
C2.11(D10:Q8) = (C22xD5).Q8central stem extension (φ=1)160C2.11(D10:Q8)320,303
C2.12(D10:Q8) = Dic10:Q8central stem extension (φ=1)320C2.12(D10:Q8)320,481
C2.13(D10:Q8) = Dic10.Q8central stem extension (φ=1)320C2.13(D10:Q8)320,484
C2.14(D10:Q8) = D20:Q8central stem extension (φ=1)160C2.14(D10:Q8)320,497
C2.15(D10:Q8) = D20.Q8central stem extension (φ=1)160C2.15(D10:Q8)320,498
C2.16(D10:Q8) = Dic10:2Q8central stem extension (φ=1)320C2.16(D10:Q8)320,502
C2.17(D10:Q8) = Dic10.2Q8central stem extension (φ=1)320C2.17(D10:Q8)320,504
C2.18(D10:Q8) = D20:2Q8central stem extension (φ=1)160C2.18(D10:Q8)320,517
C2.19(D10:Q8) = D20.2Q8central stem extension (φ=1)160C2.19(D10:Q8)320,518
C2.20(D10:Q8) = (C2xC4):Dic10central stem extension (φ=1)320C2.20(D10:Q8)320,606
C2.21(D10:Q8) = (C2xC20).287D4central stem extension (φ=1)320C2.21(D10:Q8)320,607
C2.22(D10:Q8) = (C2xC20).289D4central stem extension (φ=1)160C2.22(D10:Q8)320,619
C2.23(D10:Q8) = (C2xC20).56D4central stem extension (φ=1)160C2.23(D10:Q8)320,621

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