Extensions 1→N→G→Q→1 with N=C2 and Q=D20⋊C4

Direct product G=N×Q with N=C2 and Q=D20⋊C4
dρLabelID
C2×D20⋊C480C2xD20:C4320,1104


Non-split extensions G=N.Q with N=C2 and Q=D20⋊C4
extensionφ:Q→Aut NdρLabelID
C2.1(D20⋊C4) = D20⋊C8central extension (φ=1)160C2.1(D20:C4)320,209
C2.2(D20⋊C4) = D10.18D8central extension (φ=1)80C2.2(D20:C4)320,212
C2.3(D20⋊C4) = Dic5.23D8central extension (φ=1)160C2.3(D20:C4)320,262
C2.4(D20⋊C4) = D10.1D8central stem extension (φ=1)80C2.4(D20:C4)320,206
C2.5(D20⋊C4) = Dic5.D8central stem extension (φ=1)320C2.5(D20:C4)320,211
C2.6(D20⋊C4) = D10.D8central stem extension (φ=1)808-C2.6(D20:C4)320,241
C2.7(D20⋊C4) = D5.D16central stem extension (φ=1)808+C2.7(D20:C4)320,242
C2.8(D20⋊C4) = D8.F5central stem extension (φ=1)1608-C2.8(D20:C4)320,243
C2.9(D20⋊C4) = D40.C4central stem extension (φ=1)808+C2.9(D20:C4)320,244
C2.10(D20⋊C4) = D401C4central stem extension (φ=1)808+C2.10(D20:C4)320,245
C2.11(D20⋊C4) = D5.Q32central stem extension (φ=1)808-C2.11(D20:C4)320,246
C2.12(D20⋊C4) = Q16.F5central stem extension (φ=1)1608+C2.12(D20:C4)320,247
C2.13(D20⋊C4) = Dic20.C4central stem extension (φ=1)1608-C2.13(D20:C4)320,248
C2.14(D20⋊C4) = D10.SD16central stem extension (φ=1)80C2.14(D20:C4)320,258
C2.15(D20⋊C4) = Dic5.SD16central stem extension (φ=1)160C2.15(D20:C4)320,263

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