Extensions 1→N→G→Q→1 with N=C8 and Q=S3xC10

Direct product G=NxQ with N=C8 and Q=S3xC10
dρLabelID
S3xC2xC40240S3xC2xC40480,778

Semidirect products G=N:Q with N=C8 and Q=S3xC10
extensionφ:Q→Aut NdρLabelID
C8:1(S3xC10) = C5xC8:D6φ: S3xC10/C15C22 ⊆ Aut C81204C8:1(S3xC10)480,787
C8:2(S3xC10) = C5xD8:S3φ: S3xC10/C15C22 ⊆ Aut C81204C8:2(S3xC10)480,790
C8:3(S3xC10) = C5xQ8:3D6φ: S3xC10/C15C22 ⊆ Aut C81204C8:3(S3xC10)480,793
C8:4(S3xC10) = C5xS3xD8φ: S3xC10/C5xS3C2 ⊆ Aut C81204C8:4(S3xC10)480,789
C8:5(S3xC10) = C5xS3xSD16φ: S3xC10/C5xS3C2 ⊆ Aut C81204C8:5(S3xC10)480,792
C8:6(S3xC10) = C5xS3xM4(2)φ: S3xC10/C5xS3C2 ⊆ Aut C81204C8:6(S3xC10)480,785
C8:7(S3xC10) = C10xD24φ: S3xC10/C30C2 ⊆ Aut C8240C8:7(S3xC10)480,782
C8:8(S3xC10) = C10xC24:C2φ: S3xC10/C30C2 ⊆ Aut C8240C8:8(S3xC10)480,781
C8:9(S3xC10) = C10xC8:S3φ: S3xC10/C30C2 ⊆ Aut C8240C8:9(S3xC10)480,779

Non-split extensions G=N.Q with N=C8 and Q=S3xC10
extensionφ:Q→Aut NdρLabelID
C8.1(S3xC10) = C5xC8.D6φ: S3xC10/C15C22 ⊆ Aut C82404C8.1(S3xC10)480,788
C8.2(S3xC10) = C5xD4.D6φ: S3xC10/C15C22 ⊆ Aut C82404C8.2(S3xC10)480,794
C8.3(S3xC10) = C5xQ16:S3φ: S3xC10/C15C22 ⊆ Aut C82404C8.3(S3xC10)480,797
C8.4(S3xC10) = C5xC3:D16φ: S3xC10/C5xS3C2 ⊆ Aut C82404C8.4(S3xC10)480,145
C8.5(S3xC10) = C5xD8.S3φ: S3xC10/C5xS3C2 ⊆ Aut C82404C8.5(S3xC10)480,146
C8.6(S3xC10) = C5xC8.6D6φ: S3xC10/C5xS3C2 ⊆ Aut C82404C8.6(S3xC10)480,147
C8.7(S3xC10) = C5xC3:Q32φ: S3xC10/C5xS3C2 ⊆ Aut C84804C8.7(S3xC10)480,148
C8.8(S3xC10) = C5xD8:3S3φ: S3xC10/C5xS3C2 ⊆ Aut C82404C8.8(S3xC10)480,791
C8.9(S3xC10) = C5xS3xQ16φ: S3xC10/C5xS3C2 ⊆ Aut C82404C8.9(S3xC10)480,796
C8.10(S3xC10) = C5xD24:C2φ: S3xC10/C5xS3C2 ⊆ Aut C82404C8.10(S3xC10)480,798
C8.11(S3xC10) = C5xQ8.7D6φ: S3xC10/C5xS3C2 ⊆ Aut C82404C8.11(S3xC10)480,795
C8.12(S3xC10) = C5xD12.C4φ: S3xC10/C5xS3C2 ⊆ Aut C82404C8.12(S3xC10)480,786
C8.13(S3xC10) = C5xD48φ: S3xC10/C30C2 ⊆ Aut C82402C8.13(S3xC10)480,118
C8.14(S3xC10) = C5xC48:C2φ: S3xC10/C30C2 ⊆ Aut C82402C8.14(S3xC10)480,119
C8.15(S3xC10) = C5xDic24φ: S3xC10/C30C2 ⊆ Aut C84802C8.15(S3xC10)480,120
C8.16(S3xC10) = C10xDic12φ: S3xC10/C30C2 ⊆ Aut C8480C8.16(S3xC10)480,784
C8.17(S3xC10) = C5xC4oD24φ: S3xC10/C30C2 ⊆ Aut C82402C8.17(S3xC10)480,783
C8.18(S3xC10) = S3xC80central extension (φ=1)2402C8.18(S3xC10)480,116
C8.19(S3xC10) = C5xD6.C8central extension (φ=1)2402C8.19(S3xC10)480,117
C8.20(S3xC10) = C10xC3:C16central extension (φ=1)480C8.20(S3xC10)480,130
C8.21(S3xC10) = C5xC12.C8central extension (φ=1)2402C8.21(S3xC10)480,131
C8.22(S3xC10) = C5xC8oD12central extension (φ=1)2402C8.22(S3xC10)480,780

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