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Extensions 1→N→G→Q→1 with N=D12 and Q=C2×C6

Direct product G=N×Q with N=D12 and Q=C2×C6
dρLabelID
C2×C6×D1296C2xC6xD12288,990

Semidirect products G=N:Q with N=D12 and Q=C2×C6
extensionφ:Q→Out NdρLabelID
D12⋊1(C2×C6) = C3×S3×D8φ: C2×C6/C3 → C22 ⊆ Out D12484D12:1(C2xC6)288,681
D12⋊2(C2×C6) = C3×Q8⋊3D6φ: C2×C6/C3 → C22 ⊆ Out D12484D12:2(C2xC6)288,685
D12⋊3(C2×C6) = C6×D24φ: C2×C6/C6 → C2 ⊆ Out D1296D12:3(C2xC6)288,674
D12⋊4(C2×C6) = C3×C8⋊D6φ: C2×C6/C6 → C2 ⊆ Out D12484D12:4(C2xC6)288,679
D12⋊5(C2×C6) = C6×D4⋊S3φ: C2×C6/C6 → C2 ⊆ Out D1248D12:5(C2xC6)288,702
D12⋊6(C2×C6) = C3×D12⋊6C22φ: C2×C6/C6 → C2 ⊆ Out D12244D12:6(C2xC6)288,703
D12⋊7(C2×C6) = S3×C6×D4φ: C2×C6/C6 → C2 ⊆ Out D1248D12:7(C2xC6)288,992
D12⋊8(C2×C6) = C3×D4⋊6D6φ: C2×C6/C6 → C2 ⊆ Out D12244D12:8(C2xC6)288,994
D12⋊9(C2×C6) = C6×Q8⋊3S3φ: C2×C6/C6 → C2 ⊆ Out D1296D12:9(C2xC6)288,996
D12⋊10(C2×C6) = C3×S3×C4○D4φ: C2×C6/C6 → C2 ⊆ Out D12484D12:10(C2xC6)288,998
D12⋊11(C2×C6) = C3×D4○D12φ: C2×C6/C6 → C2 ⊆ Out D12484D12:11(C2xC6)288,999
D12⋊12(C2×C6) = C6×C4○D12φ: trivial image48D12:12(C2xC6)288,991

Non-split extensions G=N.Q with N=D12 and Q=C2×C6
extensionφ:Q→Out NdρLabelID
D12.1(C2×C6) = C3×D8⋊S3φ: C2×C6/C3 → C22 ⊆ Out D12484D12.1(C2xC6)288,682
D12.2(C2×C6) = C3×S3×SD16φ: C2×C6/C3 → C22 ⊆ Out D12484D12.2(C2xC6)288,684
D12.3(C2×C6) = C3×Q8.7D6φ: C2×C6/C3 → C22 ⊆ Out D12484D12.3(C2xC6)288,687
D12.4(C2×C6) = C3×Q16⋊S3φ: C2×C6/C3 → C22 ⊆ Out D12964D12.4(C2xC6)288,689
D12.5(C2×C6) = C3×D24⋊C2φ: C2×C6/C3 → C22 ⊆ Out D12964D12.5(C2xC6)288,690
D12.6(C2×C6) = C6×C24⋊C2φ: C2×C6/C6 → C2 ⊆ Out D1296D12.6(C2xC6)288,673
D12.7(C2×C6) = C3×C4○D24φ: C2×C6/C6 → C2 ⊆ Out D12482D12.7(C2xC6)288,675
D12.8(C2×C6) = C3×C8.D6φ: C2×C6/C6 → C2 ⊆ Out D12484D12.8(C2xC6)288,680
D12.9(C2×C6) = C6×Q8⋊2S3φ: C2×C6/C6 → C2 ⊆ Out D1296D12.9(C2xC6)288,712
D12.10(C2×C6) = C3×Q8.11D6φ: C2×C6/C6 → C2 ⊆ Out D12484D12.10(C2xC6)288,713
D12.11(C2×C6) = C3×D4⋊D6φ: C2×C6/C6 → C2 ⊆ Out D12484D12.11(C2xC6)288,720
D12.12(C2×C6) = C3×Q8.13D6φ: C2×C6/C6 → C2 ⊆ Out D12484D12.12(C2xC6)288,721
D12.13(C2×C6) = C3×Q8.15D6φ: C2×C6/C6 → C2 ⊆ Out D12484D12.13(C2xC6)288,997
D12.14(C2×C6) = C3×Q8○D12φ: trivial image484D12.14(C2xC6)288,1000

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