Extensions 1→N→G→Q→1 with N=C2 and Q=C20⋊D4

Direct product G=N×Q with N=C2 and Q=C20⋊D4
dρLabelID
C2×C20⋊D4160C2xC20:D4320,1475


Non-split extensions G=N.Q with N=C2 and Q=C20⋊D4
extensionφ:Q→Aut NdρLabelID
C2.1(C20⋊D4) = C24.13D10central extension (φ=1)160C2.1(C20:D4)320,584
C2.2(C20⋊D4) = C205(C4⋊C4)central extension (φ=1)320C2.2(C20:D4)320,603
C2.3(C20⋊D4) = (C2×D20)⋊22C4central extension (φ=1)160C2.3(C20:D4)320,615
C2.4(C20⋊D4) = C24.19D10central extension (φ=1)160C2.4(C20:D4)320,848
C2.5(C20⋊D4) = C24.7D10central stem extension (φ=1)160C2.5(C20:D4)320,576
C2.6(C20⋊D4) = C232D20central stem extension (φ=1)160C2.6(C20:D4)320,587
C2.7(C20⋊D4) = (C2×C20).289D4central stem extension (φ=1)160C2.7(C20:D4)320,619
C2.8(C20⋊D4) = C42.64D10central stem extension (φ=1)160C2.8(C20:D4)320,685
C2.9(C20⋊D4) = C42.214D10central stem extension (φ=1)160C2.9(C20:D4)320,686
C2.10(C20⋊D4) = C42.65D10central stem extension (φ=1)160C2.10(C20:D4)320,687
C2.11(C20⋊D4) = C20⋊D8central stem extension (φ=1)160C2.11(C20:D4)320,700
C2.12(C20⋊D4) = C42.74D10central stem extension (φ=1)160C2.12(C20:D4)320,701
C2.13(C20⋊D4) = C204SD16central stem extension (φ=1)160C2.13(C20:D4)320,703
C2.14(C20⋊D4) = C206SD16central stem extension (φ=1)160C2.14(C20:D4)320,712
C2.15(C20⋊D4) = C42.80D10central stem extension (φ=1)160C2.15(C20:D4)320,713
C2.16(C20⋊D4) = C203Q16central stem extension (φ=1)320C2.16(C20:D4)320,719
C2.17(C20⋊D4) = C405D4central stem extension (φ=1)160C2.17(C20:D4)320,778
C2.18(C20⋊D4) = C4011D4central stem extension (φ=1)160C2.18(C20:D4)320,781
C2.19(C20⋊D4) = C40.22D4central stem extension (φ=1)160C2.19(C20:D4)320,782
C2.20(C20⋊D4) = C40.31D4central stem extension (φ=1)160C2.20(C20:D4)320,794
C2.21(C20⋊D4) = C40.43D4central stem extension (φ=1)160C2.21(C20:D4)320,795
C2.22(C20⋊D4) = C4015D4central stem extension (φ=1)160C2.22(C20:D4)320,802
C2.23(C20⋊D4) = C409D4central stem extension (φ=1)160C2.23(C20:D4)320,803
C2.24(C20⋊D4) = C40.26D4central stem extension (φ=1)320C2.24(C20:D4)320,808
C2.25(C20⋊D4) = C40.37D4central stem extension (φ=1)160C2.25(C20:D4)320,817
C2.26(C20⋊D4) = C40.28D4central stem extension (φ=1)160C2.26(C20:D4)320,818
C2.27(C20⋊D4) = C24.21D10central stem extension (φ=1)160C2.27(C20:D4)320,850

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