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Extensions 1→N→G→Q→1 with N=C3⋊C8 and Q=C2×C6

Direct product G=N×Q with N=C3⋊C8 and Q=C2×C6
dρLabelID
C2×C6×C3⋊C896C2xC6xC3:C8288,691

Semidirect products G=N:Q with N=C3⋊C8 and Q=C2×C6
extensionφ:Q→Out NdρLabelID
C3⋊C8⋊1(C2×C6) = C3×D8⋊S3φ: C2×C6/C3 → C22 ⊆ Out C3⋊C8484C3:C8:1(C2xC6)288,682
C3⋊C8⋊2(C2×C6) = C3×Q8⋊3D6φ: C2×C6/C3 → C22 ⊆ Out C3⋊C8484C3:C8:2(C2xC6)288,685
C3⋊C8⋊3(C2×C6) = C3×D12⋊6C22φ: C2×C6/C3 → C22 ⊆ Out C3⋊C8244C3:C8:3(C2xC6)288,703
C3⋊C8⋊4(C2×C6) = C3×D4⋊D6φ: C2×C6/C3 → C22 ⊆ Out C3⋊C8484C3:C8:4(C2xC6)288,720
C3⋊C8⋊5(C2×C6) = C3×S3×D8φ: C2×C6/C6 → C2 ⊆ Out C3⋊C8484C3:C8:5(C2xC6)288,681
C3⋊C8⋊6(C2×C6) = C3×S3×SD16φ: C2×C6/C6 → C2 ⊆ Out C3⋊C8484C3:C8:6(C2xC6)288,684
C3⋊C8⋊7(C2×C6) = C6×D4⋊S3φ: C2×C6/C6 → C2 ⊆ Out C3⋊C848C3:C8:7(C2xC6)288,702
C3⋊C8⋊8(C2×C6) = C6×D4.S3φ: C2×C6/C6 → C2 ⊆ Out C3⋊C848C3:C8:8(C2xC6)288,704
C3⋊C8⋊9(C2×C6) = C6×Q8⋊2S3φ: C2×C6/C6 → C2 ⊆ Out C3⋊C896C3:C8:9(C2xC6)288,712
C3⋊C8⋊10(C2×C6) = C6×C8⋊S3φ: C2×C6/C6 → C2 ⊆ Out C3⋊C896C3:C8:10(C2xC6)288,671
C3⋊C8⋊11(C2×C6) = C3×S3×M4(2)φ: C2×C6/C6 → C2 ⊆ Out C3⋊C8484C3:C8:11(C2xC6)288,677
C3⋊C8⋊12(C2×C6) = C6×C4.Dic3φ: C2×C6/C6 → C2 ⊆ Out C3⋊C848C3:C8:12(C2xC6)288,692
C3⋊C8⋊13(C2×C6) = S3×C2×C24φ: trivial image96C3:C8:13(C2xC6)288,670

Non-split extensions G=N.Q with N=C3⋊C8 and Q=C2×C6
extensionφ:Q→Out NdρLabelID
C3⋊C8.1(C2×C6) = C3×D4.D6φ: C2×C6/C3 → C22 ⊆ Out C3⋊C8484C3:C8.1(C2xC6)288,686
C3⋊C8.2(C2×C6) = C3×Q16⋊S3φ: C2×C6/C3 → C22 ⊆ Out C3⋊C8964C3:C8.2(C2xC6)288,689
C3⋊C8.3(C2×C6) = C3×Q8.11D6φ: C2×C6/C3 → C22 ⊆ Out C3⋊C8484C3:C8.3(C2xC6)288,713
C3⋊C8.4(C2×C6) = C3×Q8.14D6φ: C2×C6/C3 → C22 ⊆ Out C3⋊C8484C3:C8.4(C2xC6)288,722
C3⋊C8.5(C2×C6) = C3×D8⋊3S3φ: C2×C6/C6 → C2 ⊆ Out C3⋊C8484C3:C8.5(C2xC6)288,683
C3⋊C8.6(C2×C6) = C3×Q8.7D6φ: C2×C6/C6 → C2 ⊆ Out C3⋊C8484C3:C8.6(C2xC6)288,687
C3⋊C8.7(C2×C6) = C3×S3×Q16φ: C2×C6/C6 → C2 ⊆ Out C3⋊C8964C3:C8.7(C2xC6)288,688
C3⋊C8.8(C2×C6) = C3×D24⋊C2φ: C2×C6/C6 → C2 ⊆ Out C3⋊C8964C3:C8.8(C2xC6)288,690
C3⋊C8.9(C2×C6) = C6×C3⋊Q16φ: C2×C6/C6 → C2 ⊆ Out C3⋊C896C3:C8.9(C2xC6)288,714
C3⋊C8.10(C2×C6) = C3×Q8.13D6φ: C2×C6/C6 → C2 ⊆ Out C3⋊C8484C3:C8.10(C2xC6)288,721
C3⋊C8.11(C2×C6) = C3×C8○D12φ: C2×C6/C6 → C2 ⊆ Out C3⋊C8482C3:C8.11(C2xC6)288,672
C3⋊C8.12(C2×C6) = C3×D12.C4φ: trivial image484C3:C8.12(C2xC6)288,678
C3⋊C8.13(C2×C6) = C3×D4.Dic3φ: trivial image484C3:C8.13(C2xC6)288,719

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