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Extensions 1→N→G→Q→1 with N=C2 and Q=D5xC4:C4

Direct product G=NxQ with N=C2 and Q=D5xC4:C4
dρLabelID
C2xD5xC4:C4160C2xD5xC4:C4320,1173


Non-split extensions G=N.Q with N=C2 and Q=D5xC4:C4
extensionφ:Q→Aut NdρLabelID
C2.1(D5xC4:C4) = Dic5:2C42central extension (φ=1)320C2.1(D5xC4:C4)320,276
C2.2(D5xC4:C4) = D5xC2.C42central extension (φ=1)160C2.2(D5xC4:C4)320,290
C2.3(D5xC4:C4) = D5xC4:C8central extension (φ=1)160C2.3(D5xC4:C4)320,459
C2.4(D5xC4:C4) = C4:C4xDic5central extension (φ=1)320C2.4(D5xC4:C4)320,602
C2.5(D5xC4:C4) = C10.49(C4xD4)central stem extension (φ=1)320C2.5(D5xC4:C4)320,274
C2.6(D5xC4:C4) = C5:2(C42:8C4)central stem extension (φ=1)320C2.6(D5xC4:C4)320,277
C2.7(D5xC4:C4) = D10:2(C4:C4)central stem extension (φ=1)160C2.7(D5xC4:C4)320,294
C2.8(D5xC4:C4) = D10:3(C4:C4)central stem extension (φ=1)160C2.8(D5xC4:C4)320,295
C2.9(D5xC4:C4) = C20:5M4(2)central stem extension (φ=1)160C2.9(D5xC4:C4)320,464
C2.10(D5xC4:C4) = C42.30D10central stem extension (φ=1)160C2.10(D5xC4:C4)320,466
C2.11(D5xC4:C4) = D5xC4.Q8central stem extension (φ=1)160C2.11(D5xC4:C4)320,486
C2.12(D5xC4:C4) = (C8xD5):C4central stem extension (φ=1)160C2.12(D5xC4:C4)320,487
C2.13(D5xC4:C4) = C8:(C4xD5)central stem extension (φ=1)160C2.13(D5xC4:C4)320,488
C2.14(D5xC4:C4) = D5xC2.D8central stem extension (φ=1)160C2.14(D5xC4:C4)320,506
C2.15(D5xC4:C4) = C8.27(C4xD5)central stem extension (φ=1)160C2.15(D5xC4:C4)320,507
C2.16(D5xC4:C4) = C40:20(C2xC4)central stem extension (φ=1)160C2.16(D5xC4:C4)320,508
C2.17(D5xC4:C4) = D5xC8.C4central stem extension (φ=1)804C2.17(D5xC4:C4)320,519
C2.18(D5xC4:C4) = M4(2).25D10central stem extension (φ=1)804C2.18(D5xC4:C4)320,520
C2.19(D5xC4:C4) = C10.96(C4xD4)central stem extension (φ=1)320C2.19(D5xC4:C4)320,599
C2.20(D5xC4:C4) = C20:5(C4:C4)central stem extension (φ=1)320C2.20(D5xC4:C4)320,603
C2.21(D5xC4:C4) = D10:4(C4:C4)central stem extension (φ=1)160C2.21(D5xC4:C4)320,614
C2.22(D5xC4:C4) = D10:5(C4:C4)central stem extension (φ=1)160C2.22(D5xC4:C4)320,616

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