Extensions 1→N→G→Q→1 with N=D12 and Q=C2xC6

Direct product G=NxQ with N=D12 and Q=C2xC6
dρLabelID
C2xC6xD1296C2xC6xD12288,990

Semidirect products G=N:Q with N=D12 and Q=C2xC6
extensionφ:Q→Out NdρLabelID
D12:1(C2xC6) = C3xS3xD8φ: C2xC6/C3C22 ⊆ Out D12484D12:1(C2xC6)288,681
D12:2(C2xC6) = C3xQ8:3D6φ: C2xC6/C3C22 ⊆ Out D12484D12:2(C2xC6)288,685
D12:3(C2xC6) = C6xD24φ: C2xC6/C6C2 ⊆ Out D1296D12:3(C2xC6)288,674
D12:4(C2xC6) = C3xC8:D6φ: C2xC6/C6C2 ⊆ Out D12484D12:4(C2xC6)288,679
D12:5(C2xC6) = C6xD4:S3φ: C2xC6/C6C2 ⊆ Out D1248D12:5(C2xC6)288,702
D12:6(C2xC6) = C3xD12:6C22φ: C2xC6/C6C2 ⊆ Out D12244D12:6(C2xC6)288,703
D12:7(C2xC6) = S3xC6xD4φ: C2xC6/C6C2 ⊆ Out D1248D12:7(C2xC6)288,992
D12:8(C2xC6) = C3xD4:6D6φ: C2xC6/C6C2 ⊆ Out D12244D12:8(C2xC6)288,994
D12:9(C2xC6) = C6xQ8:3S3φ: C2xC6/C6C2 ⊆ Out D1296D12:9(C2xC6)288,996
D12:10(C2xC6) = C3xS3xC4oD4φ: C2xC6/C6C2 ⊆ Out D12484D12:10(C2xC6)288,998
D12:11(C2xC6) = C3xD4oD12φ: C2xC6/C6C2 ⊆ Out D12484D12:11(C2xC6)288,999
D12:12(C2xC6) = C6xC4oD12φ: trivial image48D12:12(C2xC6)288,991

Non-split extensions G=N.Q with N=D12 and Q=C2xC6
extensionφ:Q→Out NdρLabelID
D12.1(C2xC6) = C3xD8:S3φ: C2xC6/C3C22 ⊆ Out D12484D12.1(C2xC6)288,682
D12.2(C2xC6) = C3xS3xSD16φ: C2xC6/C3C22 ⊆ Out D12484D12.2(C2xC6)288,684
D12.3(C2xC6) = C3xQ8.7D6φ: C2xC6/C3C22 ⊆ Out D12484D12.3(C2xC6)288,687
D12.4(C2xC6) = C3xQ16:S3φ: C2xC6/C3C22 ⊆ Out D12964D12.4(C2xC6)288,689
D12.5(C2xC6) = C3xD24:C2φ: C2xC6/C3C22 ⊆ Out D12964D12.5(C2xC6)288,690
D12.6(C2xC6) = C6xC24:C2φ: C2xC6/C6C2 ⊆ Out D1296D12.6(C2xC6)288,673
D12.7(C2xC6) = C3xC4oD24φ: C2xC6/C6C2 ⊆ Out D12482D12.7(C2xC6)288,675
D12.8(C2xC6) = C3xC8.D6φ: C2xC6/C6C2 ⊆ Out D12484D12.8(C2xC6)288,680
D12.9(C2xC6) = C6xQ8:2S3φ: C2xC6/C6C2 ⊆ Out D1296D12.9(C2xC6)288,712
D12.10(C2xC6) = C3xQ8.11D6φ: C2xC6/C6C2 ⊆ Out D12484D12.10(C2xC6)288,713
D12.11(C2xC6) = C3xD4:D6φ: C2xC6/C6C2 ⊆ Out D12484D12.11(C2xC6)288,720
D12.12(C2xC6) = C3xQ8.13D6φ: C2xC6/C6C2 ⊆ Out D12484D12.12(C2xC6)288,721
D12.13(C2xC6) = C3xQ8.15D6φ: C2xC6/C6C2 ⊆ Out D12484D12.13(C2xC6)288,997
D12.14(C2xC6) = C3xQ8oD12φ: trivial image484D12.14(C2xC6)288,1000

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