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Extensions 1→N→G→Q→1 with N=C2 and Q=S3xC5:D4

Direct product G=NxQ with N=C2 and Q=S3xC5:D4
dρLabelID
C2xS3xC5:D4120C2xS3xC5:D4480,1123


Non-split extensions G=N.Q with N=C2 and Q=S3xC5:D4
extensionφ:Q→Aut NdρLabelID
C2.1(S3xC5:D4) = S3xC10.D4central extension (φ=1)240C2.1(S3xC5:D4)480,475
C2.2(S3xC5:D4) = C15:17(C4xD4)central extension (φ=1)240C2.2(S3xC5:D4)480,517
C2.3(S3xC5:D4) = C15:22(C4xD4)central extension (φ=1)240C2.3(S3xC5:D4)480,522
C2.4(S3xC5:D4) = S3xD10:C4central extension (φ=1)120C2.4(S3xC5:D4)480,548
C2.5(S3xC5:D4) = Dic3xC5:D4central extension (φ=1)240C2.5(S3xC5:D4)480,629
C2.6(S3xC5:D4) = S3xC23.D5central extension (φ=1)120C2.6(S3xC5:D4)480,630
C2.7(S3xC5:D4) = C15:28(C4xD4)central extension (φ=1)240C2.7(S3xC5:D4)480,632
C2.8(S3xC5:D4) = Dic15:Q8central stem extension (φ=1)480C2.8(S3xC5:D4)480,405
C2.9(S3xC5:D4) = D6:Dic5:C2central stem extension (φ=1)240C2.9(S3xC5:D4)480,427
C2.10(S3xC5:D4) = D6:Dic10central stem extension (φ=1)240C2.10(S3xC5:D4)480,428
C2.11(S3xC5:D4) = Dic5:D12central stem extension (φ=1)240C2.11(S3xC5:D4)480,492
C2.12(S3xC5:D4) = D10:1Dic6central stem extension (φ=1)240C2.12(S3xC5:D4)480,497
C2.13(S3xC5:D4) = (C2xD12).D5central stem extension (φ=1)240C2.13(S3xC5:D4)480,499
C2.14(S3xC5:D4) = D30:3Q8central stem extension (φ=1)240C2.14(S3xC5:D4)480,500
C2.15(S3xC5:D4) = D10:C4:S3central stem extension (φ=1)240C2.15(S3xC5:D4)480,528
C2.16(S3xC5:D4) = Dic15:2D4central stem extension (φ=1)240C2.16(S3xC5:D4)480,529
C2.17(S3xC5:D4) = D6:D20central stem extension (φ=1)240C2.17(S3xC5:D4)480,530
C2.18(S3xC5:D4) = (C2xDic6):D5central stem extension (φ=1)240C2.18(S3xC5:D4)480,531
C2.19(S3xC5:D4) = D30:4D4central stem extension (φ=1)120C2.19(S3xC5:D4)480,551
C2.20(S3xC5:D4) = S3xD4:D5central stem extension (φ=1)1208+C2.20(S3xC5:D4)480,555
C2.21(S3xC5:D4) = D60.C22central stem extension (φ=1)1208+C2.21(S3xC5:D4)480,556
C2.22(S3xC5:D4) = S3xD4.D5central stem extension (φ=1)1208-C2.22(S3xC5:D4)480,561
C2.23(S3xC5:D4) = C60.10C23central stem extension (φ=1)2408-C2.23(S3xC5:D4)480,562
C2.24(S3xC5:D4) = D20.24D6central stem extension (φ=1)2408-C2.24(S3xC5:D4)480,569
C2.25(S3xC5:D4) = D20:10D6central stem extension (φ=1)1208-C2.25(S3xC5:D4)480,570
C2.26(S3xC5:D4) = C60.19C23central stem extension (φ=1)2408+C2.26(S3xC5:D4)480,571
C2.27(S3xC5:D4) = D12.9D10central stem extension (φ=1)1208+C2.27(S3xC5:D4)480,572
C2.28(S3xC5:D4) = S3xQ8:D5central stem extension (φ=1)1208+C2.28(S3xC5:D4)480,579
C2.29(S3xC5:D4) = D12:D10central stem extension (φ=1)1208+C2.29(S3xC5:D4)480,580
C2.30(S3xC5:D4) = S3xC5:Q16central stem extension (φ=1)2408-C2.30(S3xC5:D4)480,585
C2.31(S3xC5:D4) = Dic10.26D6central stem extension (φ=1)2408-C2.31(S3xC5:D4)480,586
C2.32(S3xC5:D4) = D20.27D6central stem extension (φ=1)2408-C2.32(S3xC5:D4)480,593
C2.33(S3xC5:D4) = D20.28D6central stem extension (φ=1)2408-C2.33(S3xC5:D4)480,594
C2.34(S3xC5:D4) = Dic10.27D6central stem extension (φ=1)2408+C2.34(S3xC5:D4)480,595
C2.35(S3xC5:D4) = C60.44C23central stem extension (φ=1)2408+C2.35(S3xC5:D4)480,596
C2.36(S3xC5:D4) = C23.D5:S3central stem extension (φ=1)240C2.36(S3xC5:D4)480,601
C2.37(S3xC5:D4) = (C6xD5):D4central stem extension (φ=1)240C2.37(S3xC5:D4)480,625
C2.38(S3xC5:D4) = (S3xC10).D4central stem extension (φ=1)240C2.38(S3xC5:D4)480,631
C2.39(S3xC5:D4) = D30:7D4central stem extension (φ=1)240C2.39(S3xC5:D4)480,633
C2.40(S3xC5:D4) = Dic15:4D4central stem extension (φ=1)240C2.40(S3xC5:D4)480,634
C2.41(S3xC5:D4) = (S3xC10):D4central stem extension (φ=1)240C2.41(S3xC5:D4)480,641
C2.42(S3xC5:D4) = Dic15:5D4central stem extension (φ=1)240C2.42(S3xC5:D4)480,643
C2.43(S3xC5:D4) = C15:C22wrC2central stem extension (φ=1)120C2.43(S3xC5:D4)480,644
C2.44(S3xC5:D4) = (C2xC6):D20central stem extension (φ=1)240C2.44(S3xC5:D4)480,645
C2.45(S3xC5:D4) = (C2xC10):11D12central stem extension (φ=1)120C2.45(S3xC5:D4)480,646
C2.46(S3xC5:D4) = (C2xC10):8Dic6central stem extension (φ=1)240C2.46(S3xC5:D4)480,651
C2.47(S3xC5:D4) = D30:8D4central stem extension (φ=1)120C2.47(S3xC5:D4)480,653

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