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Extensions 1→N→G→Q→1 with N=C6 and Q=C22xC20

Direct product G=NxQ with N=C6 and Q=C22xC20
dρLabelID
C23xC60480C2^3xC60480,1180

Semidirect products G=N:Q with N=C6 and Q=C22xC20
extensionφ:Q→Aut NdρLabelID
C6:1(C22xC20) = S3xC22xC20φ: C22xC20/C2xC20 → C2 ⊆ Aut C6240C6:1(C2^2xC20)480,1151
C6:2(C22xC20) = Dic3xC22xC10φ: C22xC20/C22xC10 → C2 ⊆ Aut C6480C6:2(C2^2xC20)480,1163

Non-split extensions G=N.Q with N=C6 and Q=C22xC20
extensionφ:Q→Aut NdρLabelID
C6.1(C22xC20) = C20xDic6φ: C22xC20/C2xC20 → C2 ⊆ Aut C6480C6.1(C2^2xC20)480,747
C6.2(C22xC20) = S3xC4xC20φ: C22xC20/C2xC20 → C2 ⊆ Aut C6240C6.2(C2^2xC20)480,750
C6.3(C22xC20) = C5xC42:2S3φ: C22xC20/C2xC20 → C2 ⊆ Aut C6240C6.3(C2^2xC20)480,751
C6.4(C22xC20) = C20xD12φ: C22xC20/C2xC20 → C2 ⊆ Aut C6240C6.4(C2^2xC20)480,752
C6.5(C22xC20) = C5xC23.16D6φ: C22xC20/C2xC20 → C2 ⊆ Aut C6240C6.5(C2^2xC20)480,756
C6.6(C22xC20) = C5xS3xC22:C4φ: C22xC20/C2xC20 → C2 ⊆ Aut C6120C6.6(C2^2xC20)480,759
C6.7(C22xC20) = C5xDic3:4D4φ: C22xC20/C2xC20 → C2 ⊆ Aut C6240C6.7(C2^2xC20)480,760
C6.8(C22xC20) = C5xDic6:C4φ: C22xC20/C2xC20 → C2 ⊆ Aut C6480C6.8(C2^2xC20)480,766
C6.9(C22xC20) = C5xS3xC4:C4φ: C22xC20/C2xC20 → C2 ⊆ Aut C6240C6.9(C2^2xC20)480,770
C6.10(C22xC20) = C5xC4:C4:7S3φ: C22xC20/C2xC20 → C2 ⊆ Aut C6240C6.10(C2^2xC20)480,771
C6.11(C22xC20) = C5xDic3:5D4φ: C22xC20/C2xC20 → C2 ⊆ Aut C6240C6.11(C2^2xC20)480,772
C6.12(C22xC20) = S3xC2xC40φ: C22xC20/C2xC20 → C2 ⊆ Aut C6240C6.12(C2^2xC20)480,778
C6.13(C22xC20) = C10xC8:S3φ: C22xC20/C2xC20 → C2 ⊆ Aut C6240C6.13(C2^2xC20)480,779
C6.14(C22xC20) = C5xC8oD12φ: C22xC20/C2xC20 → C2 ⊆ Aut C62402C6.14(C2^2xC20)480,780
C6.15(C22xC20) = C5xS3xM4(2)φ: C22xC20/C2xC20 → C2 ⊆ Aut C61204C6.15(C2^2xC20)480,785
C6.16(C22xC20) = C5xD12.C4φ: C22xC20/C2xC20 → C2 ⊆ Aut C62404C6.16(C2^2xC20)480,786
C6.17(C22xC20) = C10xDic3:C4φ: C22xC20/C2xC20 → C2 ⊆ Aut C6480C6.17(C2^2xC20)480,802
C6.18(C22xC20) = C10xD6:C4φ: C22xC20/C2xC20 → C2 ⊆ Aut C6240C6.18(C2^2xC20)480,806
C6.19(C22xC20) = C20xC3:D4φ: C22xC20/C2xC20 → C2 ⊆ Aut C6240C6.19(C2^2xC20)480,807
C6.20(C22xC20) = C2xC10xC3:C8φ: C22xC20/C22xC10 → C2 ⊆ Aut C6480C6.20(C2^2xC20)480,799
C6.21(C22xC20) = C10xC4.Dic3φ: C22xC20/C22xC10 → C2 ⊆ Aut C6240C6.21(C2^2xC20)480,800
C6.22(C22xC20) = Dic3xC2xC20φ: C22xC20/C22xC10 → C2 ⊆ Aut C6480C6.22(C2^2xC20)480,801
C6.23(C22xC20) = C10xC4:Dic3φ: C22xC20/C22xC10 → C2 ⊆ Aut C6480C6.23(C2^2xC20)480,804
C6.24(C22xC20) = C5xC23.26D6φ: C22xC20/C22xC10 → C2 ⊆ Aut C6240C6.24(C2^2xC20)480,805
C6.25(C22xC20) = C5xD4xDic3φ: C22xC20/C22xC10 → C2 ⊆ Aut C6240C6.25(C2^2xC20)480,813
C6.26(C22xC20) = C5xQ8xDic3φ: C22xC20/C22xC10 → C2 ⊆ Aut C6480C6.26(C2^2xC20)480,824
C6.27(C22xC20) = C5xD4.Dic3φ: C22xC20/C22xC10 → C2 ⊆ Aut C62404C6.27(C2^2xC20)480,827
C6.28(C22xC20) = C10xC6.D4φ: C22xC20/C22xC10 → C2 ⊆ Aut C6240C6.28(C2^2xC20)480,831
C6.29(C22xC20) = C22:C4xC30central extension (φ=1)240C6.29(C2^2xC20)480,920
C6.30(C22xC20) = C4:C4xC30central extension (φ=1)480C6.30(C2^2xC20)480,921
C6.31(C22xC20) = C15xC42:C2central extension (φ=1)240C6.31(C2^2xC20)480,922
C6.32(C22xC20) = D4xC60central extension (φ=1)240C6.32(C2^2xC20)480,923
C6.33(C22xC20) = Q8xC60central extension (φ=1)480C6.33(C2^2xC20)480,924
C6.34(C22xC20) = M4(2)xC30central extension (φ=1)240C6.34(C2^2xC20)480,935
C6.35(C22xC20) = C15xC8oD4central extension (φ=1)2402C6.35(C2^2xC20)480,936

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