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Extensions 1→N→G→Q→1 with N=C3⋊C8 and Q=C2×C10

Direct product G=N×Q with N=C3⋊C8 and Q=C2×C10
dρLabelID
C2×C10×C3⋊C8480C2xC10xC3:C8480,799

Semidirect products G=N:Q with N=C3⋊C8 and Q=C2×C10
extensionφ:Q→Out NdρLabelID
C3⋊C8⋊1(C2×C10) = C5×D8⋊S3φ: C2×C10/C5 → C22 ⊆ Out C3⋊C81204C3:C8:1(C2xC10)480,790
C3⋊C8⋊2(C2×C10) = C5×Q8⋊3D6φ: C2×C10/C5 → C22 ⊆ Out C3⋊C81204C3:C8:2(C2xC10)480,793
C3⋊C8⋊3(C2×C10) = C5×D12⋊6C22φ: C2×C10/C5 → C22 ⊆ Out C3⋊C81204C3:C8:3(C2xC10)480,811
C3⋊C8⋊4(C2×C10) = C5×D4⋊D6φ: C2×C10/C5 → C22 ⊆ Out C3⋊C81204C3:C8:4(C2xC10)480,828
C3⋊C8⋊5(C2×C10) = C5×S3×D8φ: C2×C10/C10 → C2 ⊆ Out C3⋊C81204C3:C8:5(C2xC10)480,789
C3⋊C8⋊6(C2×C10) = C5×S3×SD16φ: C2×C10/C10 → C2 ⊆ Out C3⋊C81204C3:C8:6(C2xC10)480,792
C3⋊C8⋊7(C2×C10) = C10×D4⋊S3φ: C2×C10/C10 → C2 ⊆ Out C3⋊C8240C3:C8:7(C2xC10)480,810
C3⋊C8⋊8(C2×C10) = C10×D4.S3φ: C2×C10/C10 → C2 ⊆ Out C3⋊C8240C3:C8:8(C2xC10)480,812
C3⋊C8⋊9(C2×C10) = C10×Q8⋊2S3φ: C2×C10/C10 → C2 ⊆ Out C3⋊C8240C3:C8:9(C2xC10)480,820
C3⋊C8⋊10(C2×C10) = C10×C8⋊S3φ: C2×C10/C10 → C2 ⊆ Out C3⋊C8240C3:C8:10(C2xC10)480,779
C3⋊C8⋊11(C2×C10) = C5×S3×M4(2)φ: C2×C10/C10 → C2 ⊆ Out C3⋊C81204C3:C8:11(C2xC10)480,785
C3⋊C8⋊12(C2×C10) = C10×C4.Dic3φ: C2×C10/C10 → C2 ⊆ Out C3⋊C8240C3:C8:12(C2xC10)480,800
C3⋊C8⋊13(C2×C10) = S3×C2×C40φ: trivial image240C3:C8:13(C2xC10)480,778

Non-split extensions G=N.Q with N=C3⋊C8 and Q=C2×C10
extensionφ:Q→Out NdρLabelID
C3⋊C8.1(C2×C10) = C5×D4.D6φ: C2×C10/C5 → C22 ⊆ Out C3⋊C82404C3:C8.1(C2xC10)480,794
C3⋊C8.2(C2×C10) = C5×Q16⋊S3φ: C2×C10/C5 → C22 ⊆ Out C3⋊C82404C3:C8.2(C2xC10)480,797
C3⋊C8.3(C2×C10) = C5×Q8.11D6φ: C2×C10/C5 → C22 ⊆ Out C3⋊C82404C3:C8.3(C2xC10)480,821
C3⋊C8.4(C2×C10) = C5×Q8.14D6φ: C2×C10/C5 → C22 ⊆ Out C3⋊C82404C3:C8.4(C2xC10)480,830
C3⋊C8.5(C2×C10) = C5×D8⋊3S3φ: C2×C10/C10 → C2 ⊆ Out C3⋊C82404C3:C8.5(C2xC10)480,791
C3⋊C8.6(C2×C10) = C5×Q8.7D6φ: C2×C10/C10 → C2 ⊆ Out C3⋊C82404C3:C8.6(C2xC10)480,795
C3⋊C8.7(C2×C10) = C5×S3×Q16φ: C2×C10/C10 → C2 ⊆ Out C3⋊C82404C3:C8.7(C2xC10)480,796
C3⋊C8.8(C2×C10) = C5×D24⋊C2φ: C2×C10/C10 → C2 ⊆ Out C3⋊C82404C3:C8.8(C2xC10)480,798
C3⋊C8.9(C2×C10) = C10×C3⋊Q16φ: C2×C10/C10 → C2 ⊆ Out C3⋊C8480C3:C8.9(C2xC10)480,822
C3⋊C8.10(C2×C10) = C5×Q8.13D6φ: C2×C10/C10 → C2 ⊆ Out C3⋊C82404C3:C8.10(C2xC10)480,829
C3⋊C8.11(C2×C10) = C5×C8○D12φ: C2×C10/C10 → C2 ⊆ Out C3⋊C82402C3:C8.11(C2xC10)480,780
C3⋊C8.12(C2×C10) = C5×D12.C4φ: C2×C10/C10 → C2 ⊆ Out C3⋊C82404C3:C8.12(C2xC10)480,786
C3⋊C8.13(C2×C10) = C5×D4.Dic3φ: trivial image2404C3:C8.13(C2xC10)480,827

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