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Extensions 1→N→G→Q→1 with N=C2 and Q=D10:D4

Direct product G=NxQ with N=C2 and Q=D10:D4
dρLabelID
C2xD10:D4160C2xD10:D4320,1161


Non-split extensions G=N.Q with N=C2 and Q=D10:D4
extensionφ:Q→Aut NdρLabelID
C2.1(D10:D4) = C10.49(C4xD4)central extension (φ=1)320C2.1(D10:D4)320,274
C2.2(D10:D4) = (C2xC4):9D20central extension (φ=1)160C2.2(D10:D4)320,292
C2.3(D10:D4) = D10:2(C4:C4)central extension (φ=1)160C2.3(D10:D4)320,294
C2.4(D10:D4) = C10.54(C4xD4)central extension (φ=1)160C2.4(D10:D4)320,296
C2.5(D10:D4) = C24.8D10central extension (φ=1)160C2.5(D10:D4)320,578
C2.6(D10:D4) = C24.12D10central extension (φ=1)160C2.6(D10:D4)320,583
C2.7(D10:D4) = C24.13D10central extension (φ=1)160C2.7(D10:D4)320,584
C2.8(D10:D4) = C2.(C20:Q8)central stem extension (φ=1)320C2.8(D10:D4)320,284
C2.9(D10:D4) = (C2xDic5):3D4central stem extension (φ=1)160C2.9(D10:D4)320,299
C2.10(D10:D4) = C10.(C4:D4)central stem extension (φ=1)160C2.10(D10:D4)320,302
C2.11(D10:D4) = (C22xD5).Q8central stem extension (φ=1)160C2.11(D10:D4)320,303
C2.12(D10:D4) = D20.2D4central stem extension (φ=1)808-C2.12(D10:D4)320,375
C2.13(D10:D4) = D20.3D4central stem extension (φ=1)808+C2.13(D10:D4)320,376
C2.14(D10:D4) = D20.6D4central stem extension (φ=1)808+C2.14(D10:D4)320,381
C2.15(D10:D4) = D20.7D4central stem extension (φ=1)1608-C2.15(D10:D4)320,382
C2.16(D10:D4) = Dic10:2D4central stem extension (φ=1)160C2.16(D10:D4)320,389
C2.17(D10:D4) = Dic10.D4central stem extension (φ=1)160C2.17(D10:D4)320,394
C2.18(D10:D4) = D10:D8central stem extension (φ=1)160C2.18(D10:D4)320,402
C2.19(D10:D4) = D10:SD16central stem extension (φ=1)160C2.19(D10:D4)320,405
C2.20(D10:D4) = C5:2C8:D4central stem extension (φ=1)160C2.20(D10:D4)320,407
C2.21(D10:D4) = C5:(C8:2D4)central stem extension (φ=1)160C2.21(D10:D4)320,409
C2.22(D10:D4) = D20:3D4central stem extension (φ=1)160C2.22(D10:D4)320,413
C2.23(D10:D4) = D20.D4central stem extension (φ=1)160C2.23(D10:D4)320,414
C2.24(D10:D4) = Dic5:Q16central stem extension (φ=1)320C2.24(D10:D4)320,420
C2.25(D10:D4) = Dic10.11D4central stem extension (φ=1)160C2.25(D10:D4)320,425
C2.26(D10:D4) = D10:2SD16central stem extension (φ=1)160C2.26(D10:D4)320,434
C2.27(D10:D4) = C5:(C8:D4)central stem extension (φ=1)160C2.27(D10:D4)320,439
C2.28(D10:D4) = D10:Q16central stem extension (φ=1)160C2.28(D10:D4)320,440
C2.29(D10:D4) = C5:2C8.D4central stem extension (φ=1)160C2.29(D10:D4)320,443
C2.30(D10:D4) = Dic5:SD16central stem extension (φ=1)160C2.30(D10:D4)320,445
C2.31(D10:D4) = D20.12D4central stem extension (φ=1)160C2.31(D10:D4)320,446
C2.32(D10:D4) = C24.6D10central stem extension (φ=1)160C2.32(D10:D4)320,575
C2.33(D10:D4) = C24.14D10central stem extension (φ=1)160C2.33(D10:D4)320,586
C2.34(D10:D4) = C23:2D20central stem extension (φ=1)160C2.34(D10:D4)320,587

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