Extensions 1→N→G→Q→1 with N=C2 and Q=C10xC3:D4

Direct product G=NxQ with N=C2 and Q=C10xC3:D4
dρLabelID
C2xC10xC3:D4240C2xC10xC3:D4480,1164


Non-split extensions G=N.Q with N=C2 and Q=C10xC3:D4
extensionφ:Q→Aut NdρLabelID
C2.1(C10xC3:D4) = C10xDic3:C4central extension (φ=1)480C2.1(C10xC3:D4)480,802
C2.2(C10xC3:D4) = C10xD6:C4central extension (φ=1)240C2.2(C10xC3:D4)480,806
C2.3(C10xC3:D4) = C20xC3:D4central extension (φ=1)240C2.3(C10xC3:D4)480,807
C2.4(C10xC3:D4) = C10xC6.D4central extension (φ=1)240C2.4(C10xC3:D4)480,831
C2.5(C10xC3:D4) = C5xC12.48D4central stem extension (φ=1)240C2.5(C10xC3:D4)480,803
C2.6(C10xC3:D4) = C5xC23.28D6central stem extension (φ=1)240C2.6(C10xC3:D4)480,808
C2.7(C10xC3:D4) = C5xC12:7D4central stem extension (φ=1)240C2.7(C10xC3:D4)480,809
C2.8(C10xC3:D4) = C10xD4:S3central stem extension (φ=1)240C2.8(C10xC3:D4)480,810
C2.9(C10xC3:D4) = C5xD12:6C22central stem extension (φ=1)1204C2.9(C10xC3:D4)480,811
C2.10(C10xC3:D4) = C10xD4.S3central stem extension (φ=1)240C2.10(C10xC3:D4)480,812
C2.11(C10xC3:D4) = C5xC23.23D6central stem extension (φ=1)240C2.11(C10xC3:D4)480,814
C2.12(C10xC3:D4) = C5xC23.12D6central stem extension (φ=1)240C2.12(C10xC3:D4)480,815
C2.13(C10xC3:D4) = C5xC23:2D6central stem extension (φ=1)120C2.13(C10xC3:D4)480,816
C2.14(C10xC3:D4) = C5xD6:3D4central stem extension (φ=1)240C2.14(C10xC3:D4)480,817
C2.15(C10xC3:D4) = C5xC23.14D6central stem extension (φ=1)240C2.15(C10xC3:D4)480,818
C2.16(C10xC3:D4) = C5xC12:3D4central stem extension (φ=1)240C2.16(C10xC3:D4)480,819
C2.17(C10xC3:D4) = C10xQ8:2S3central stem extension (φ=1)240C2.17(C10xC3:D4)480,820
C2.18(C10xC3:D4) = C5xQ8.11D6central stem extension (φ=1)2404C2.18(C10xC3:D4)480,821
C2.19(C10xC3:D4) = C10xC3:Q16central stem extension (φ=1)480C2.19(C10xC3:D4)480,822
C2.20(C10xC3:D4) = C5xDic3:Q8central stem extension (φ=1)480C2.20(C10xC3:D4)480,823
C2.21(C10xC3:D4) = C5xD6:3Q8central stem extension (φ=1)240C2.21(C10xC3:D4)480,825
C2.22(C10xC3:D4) = C5xC12.23D4central stem extension (φ=1)240C2.22(C10xC3:D4)480,826
C2.23(C10xC3:D4) = C5xD4:D6central stem extension (φ=1)1204C2.23(C10xC3:D4)480,828
C2.24(C10xC3:D4) = C5xQ8.13D6central stem extension (φ=1)2404C2.24(C10xC3:D4)480,829
C2.25(C10xC3:D4) = C5xQ8.14D6central stem extension (φ=1)2404C2.25(C10xC3:D4)480,830
C2.26(C10xC3:D4) = C5xC24:4S3central stem extension (φ=1)120C2.26(C10xC3:D4)480,832

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