Extensions 1→N→G→Q→1 with N=C2 and Q=C2xC3:D20

Direct product G=NxQ with N=C2 and Q=C2xC3:D20
dρLabelID
C22xC3:D20240C2^2xC3:D20480,1119


Non-split extensions G=N.Q with N=C2 and Q=C2xC3:D20
extensionφ:Q→Aut NdρLabelID
C2.1(C2xC3:D20) = C4xC3:D20central extension (φ=1)240C2.1(C2xC3:D20)480,519
C2.2(C2xC3:D20) = C2xD10:Dic3central extension (φ=1)240C2.2(C2xC3:D20)480,611
C2.3(C2xC3:D20) = C2xD30:4C4central extension (φ=1)240C2.3(C2xC3:D20)480,616
C2.4(C2xC3:D20) = C2xC6.Dic10central extension (φ=1)480C2.4(C2xC3:D20)480,621
C2.5(C2xC3:D20) = C2xC3:D40central stem extension (φ=1)240C2.5(C2xC3:D20)480,376
C2.6(C2xC3:D20) = D20:19D6central stem extension (φ=1)1204+C2.6(C2xC3:D20)480,377
C2.7(C2xC3:D20) = C2xC6.D20central stem extension (φ=1)240C2.7(C2xC3:D20)480,386
C2.8(C2xC3:D20) = D20.31D6central stem extension (φ=1)2404C2.8(C2xC3:D20)480,387
C2.9(C2xC3:D20) = D60:30C22central stem extension (φ=1)1204C2.9(C2xC3:D20)480,388
C2.10(C2xC3:D20) = C60.63D4central stem extension (φ=1)2404-C2.10(C2xC3:D20)480,389
C2.11(C2xC3:D20) = C2xC15:SD16central stem extension (φ=1)240C2.11(C2xC3:D20)480,390
C2.12(C2xC3:D20) = C12.D20central stem extension (φ=1)2404C2.12(C2xC3:D20)480,391
C2.13(C2xC3:D20) = C2xC3:Dic20central stem extension (φ=1)480C2.13(C2xC3:D20)480,395
C2.14(C2xC3:D20) = C60.68D4central stem extension (φ=1)240C2.14(C2xC3:D20)480,436
C2.15(C2xC3:D20) = C60.44D4central stem extension (φ=1)240C2.15(C2xC3:D20)480,440
C2.16(C2xC3:D20) = C60.47D4central stem extension (φ=1)240C2.16(C2xC3:D20)480,450
C2.17(C2xC3:D20) = C60.48D4central stem extension (φ=1)480C2.17(C2xC3:D20)480,465
C2.18(C2xC3:D20) = D30:10Q8central stem extension (φ=1)240C2.18(C2xC3:D20)480,466
C2.19(C2xC3:D20) = C12:7D20central stem extension (φ=1)240C2.19(C2xC3:D20)480,526
C2.20(C2xC3:D20) = C12:D20central stem extension (φ=1)240C2.20(C2xC3:D20)480,534
C2.21(C2xC3:D20) = C12:2D20central stem extension (φ=1)240C2.21(C2xC3:D20)480,541
C2.22(C2xC3:D20) = C6.(C2xD20)central stem extension (φ=1)240C2.22(C2xC3:D20)480,613
C2.23(C2xC3:D20) = C6.D4:D5central stem extension (φ=1)240C2.23(C2xC3:D20)480,622
C2.24(C2xC3:D20) = (C2xC6):8D20central stem extension (φ=1)120C2.24(C2xC3:D20)480,640
C2.25(C2xC3:D20) = (C2xC6):D20central stem extension (φ=1)240C2.25(C2xC3:D20)480,645
C2.26(C2xC3:D20) = D30:18D4central stem extension (φ=1)120C2.26(C2xC3:D20)480,648

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