Extensions 1→N→G→Q→1 with N=C2 and Q=C2xD4:D5

Direct product G=NxQ with N=C2 and Q=C2xD4:D5
dρLabelID
C22xD4:D5160C2^2xD4:D5320,1464


Non-split extensions G=N.Q with N=C2 and Q=C2xD4:D5
extensionφ:Q→Aut NdρLabelID
C2.1(C2xD4:D5) = C2xC10.D8central extension (φ=1)320C2.1(C2xD4:D5)320,589
C2.2(C2xD4:D5) = C2xD20:6C4central extension (φ=1)160C2.2(C2xD4:D5)320,592
C2.3(C2xD4:D5) = C4xD4:D5central extension (φ=1)160C2.3(C2xD4:D5)320,640
C2.4(C2xD4:D5) = C2xD4:Dic5central extension (φ=1)160C2.4(C2xD4:D5)320,841
C2.5(C2xD4:D5) = (C2xC10).40D8central stem extension (φ=1)160C2.5(C2xD4:D5)320,594
C2.6(C2xD4:D5) = C20.50D8central stem extension (φ=1)160C2.6(C2xD4:D5)320,634
C2.7(C2xD4:D5) = C20:7D8central stem extension (φ=1)160C2.7(C2xD4:D5)320,642
C2.8(C2xD4:D5) = (C2xC10).D8central stem extension (φ=1)160C2.8(C2xD4:D5)320,660
C2.9(C2xD4:D5) = D20:16D4central stem extension (φ=1)80C2.9(C2xD4:D5)320,663
C2.10(C2xD4:D5) = (C2xC10):D8central stem extension (φ=1)160C2.10(C2xD4:D5)320,665
C2.11(C2xD4:D5) = C20.16D8central stem extension (φ=1)160C2.11(C2xD4:D5)320,697
C2.12(C2xD4:D5) = C20:2D8central stem extension (φ=1)160C2.12(C2xD4:D5)320,699
C2.13(C2xD4:D5) = C20:D8central stem extension (φ=1)160C2.13(C2xD4:D5)320,700
C2.14(C2xD4:D5) = C20.17D8central stem extension (φ=1)320C2.14(C2xD4:D5)320,705
C2.15(C2xD4:D5) = D20:6Q8central stem extension (φ=1)160C2.15(C2xD4:D5)320,714
C2.16(C2xD4:D5) = C20.D8central stem extension (φ=1)160C2.16(C2xD4:D5)320,715
C2.17(C2xD4:D5) = C2xC5:D16central stem extension (φ=1)160C2.17(C2xD4:D5)320,773
C2.18(C2xD4:D5) = D8.D10central stem extension (φ=1)804C2.18(C2xD4:D5)320,774
C2.19(C2xD4:D5) = C2xD8.D5central stem extension (φ=1)160C2.19(C2xD4:D5)320,775
C2.20(C2xD4:D5) = C2xC5:SD32central stem extension (φ=1)160C2.20(C2xD4:D5)320,805
C2.21(C2xD4:D5) = Q16.D10central stem extension (φ=1)1604C2.21(C2xD4:D5)320,806
C2.22(C2xD4:D5) = C2xC5:Q32central stem extension (φ=1)320C2.22(C2xD4:D5)320,807
C2.23(C2xD4:D5) = D8:D10central stem extension (φ=1)804+C2.23(C2xD4:D5)320,820
C2.24(C2xD4:D5) = C40.30C23central stem extension (φ=1)1604C2.24(C2xD4:D5)320,821
C2.25(C2xD4:D5) = C40.31C23central stem extension (φ=1)1604-C2.25(C2xD4:D5)320,822
C2.26(C2xD4:D5) = (C2xC10):8D8central stem extension (φ=1)80C2.26(C2xD4:D5)320,844

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