Extensions 1→N→G→Q→1 with N=C8 and Q=S3×C10

Direct product G=N×Q with N=C8 and Q=S3×C10
dρLabelID
S3×C2×C40240S3xC2xC40480,778

Semidirect products G=N:Q with N=C8 and Q=S3×C10
extensionφ:Q→Aut NdρLabelID
C81(S3×C10) = C5×C8⋊D6φ: S3×C10/C15C22 ⊆ Aut C81204C8:1(S3xC10)480,787
C82(S3×C10) = C5×D8⋊S3φ: S3×C10/C15C22 ⊆ Aut C81204C8:2(S3xC10)480,790
C83(S3×C10) = C5×Q83D6φ: S3×C10/C15C22 ⊆ Aut C81204C8:3(S3xC10)480,793
C84(S3×C10) = C5×S3×D8φ: S3×C10/C5×S3C2 ⊆ Aut C81204C8:4(S3xC10)480,789
C85(S3×C10) = C5×S3×SD16φ: S3×C10/C5×S3C2 ⊆ Aut C81204C8:5(S3xC10)480,792
C86(S3×C10) = C5×S3×M4(2)φ: S3×C10/C5×S3C2 ⊆ Aut C81204C8:6(S3xC10)480,785
C87(S3×C10) = C10×D24φ: S3×C10/C30C2 ⊆ Aut C8240C8:7(S3xC10)480,782
C88(S3×C10) = C10×C24⋊C2φ: S3×C10/C30C2 ⊆ Aut C8240C8:8(S3xC10)480,781
C89(S3×C10) = C10×C8⋊S3φ: S3×C10/C30C2 ⊆ Aut C8240C8:9(S3xC10)480,779

Non-split extensions G=N.Q with N=C8 and Q=S3×C10
extensionφ:Q→Aut NdρLabelID
C8.1(S3×C10) = C5×C8.D6φ: S3×C10/C15C22 ⊆ Aut C82404C8.1(S3xC10)480,788
C8.2(S3×C10) = C5×D4.D6φ: S3×C10/C15C22 ⊆ Aut C82404C8.2(S3xC10)480,794
C8.3(S3×C10) = C5×Q16⋊S3φ: S3×C10/C15C22 ⊆ Aut C82404C8.3(S3xC10)480,797
C8.4(S3×C10) = C5×C3⋊D16φ: S3×C10/C5×S3C2 ⊆ Aut C82404C8.4(S3xC10)480,145
C8.5(S3×C10) = C5×D8.S3φ: S3×C10/C5×S3C2 ⊆ Aut C82404C8.5(S3xC10)480,146
C8.6(S3×C10) = C5×C8.6D6φ: S3×C10/C5×S3C2 ⊆ Aut C82404C8.6(S3xC10)480,147
C8.7(S3×C10) = C5×C3⋊Q32φ: S3×C10/C5×S3C2 ⊆ Aut C84804C8.7(S3xC10)480,148
C8.8(S3×C10) = C5×D83S3φ: S3×C10/C5×S3C2 ⊆ Aut C82404C8.8(S3xC10)480,791
C8.9(S3×C10) = C5×S3×Q16φ: S3×C10/C5×S3C2 ⊆ Aut C82404C8.9(S3xC10)480,796
C8.10(S3×C10) = C5×D24⋊C2φ: S3×C10/C5×S3C2 ⊆ Aut C82404C8.10(S3xC10)480,798
C8.11(S3×C10) = C5×Q8.7D6φ: S3×C10/C5×S3C2 ⊆ Aut C82404C8.11(S3xC10)480,795
C8.12(S3×C10) = C5×D12.C4φ: S3×C10/C5×S3C2 ⊆ Aut C82404C8.12(S3xC10)480,786
C8.13(S3×C10) = C5×D48φ: S3×C10/C30C2 ⊆ Aut C82402C8.13(S3xC10)480,118
C8.14(S3×C10) = C5×C48⋊C2φ: S3×C10/C30C2 ⊆ Aut C82402C8.14(S3xC10)480,119
C8.15(S3×C10) = C5×Dic24φ: S3×C10/C30C2 ⊆ Aut C84802C8.15(S3xC10)480,120
C8.16(S3×C10) = C10×Dic12φ: S3×C10/C30C2 ⊆ Aut C8480C8.16(S3xC10)480,784
C8.17(S3×C10) = C5×C4○D24φ: S3×C10/C30C2 ⊆ Aut C82402C8.17(S3xC10)480,783
C8.18(S3×C10) = S3×C80central extension (φ=1)2402C8.18(S3xC10)480,116
C8.19(S3×C10) = C5×D6.C8central extension (φ=1)2402C8.19(S3xC10)480,117
C8.20(S3×C10) = C10×C3⋊C16central extension (φ=1)480C8.20(S3xC10)480,130
C8.21(S3×C10) = C5×C12.C8central extension (φ=1)2402C8.21(S3xC10)480,131
C8.22(S3×C10) = C5×C8○D12central extension (φ=1)2402C8.22(S3xC10)480,780

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