# Extensions 1→N→G→Q→1 with N=D6 and Q=C22×C6

Direct product G=N×Q with N=D6 and Q=C22×C6
dρLabelID
S3×C23×C696S3xC2^3xC6288,1043

Semidirect products G=N:Q with N=D6 and Q=C22×C6
extensionφ:Q→Out NdρLabelID
D61(C22×C6) = C2×C6×D12φ: C22×C6/C2×C6C2 ⊆ Out D696D6:1(C2^2xC6)288,990
D62(C22×C6) = S3×C6×D4φ: C22×C6/C2×C6C2 ⊆ Out D648D6:2(C2^2xC6)288,992
D63(C22×C6) = C2×C6×C3⋊D4φ: C22×C6/C2×C6C2 ⊆ Out D648D6:3(C2^2xC6)288,1002

Non-split extensions G=N.Q with N=D6 and Q=C22×C6
extensionφ:Q→Out NdρLabelID
D6.1(C22×C6) = C6×C4○D12φ: C22×C6/C2×C6C2 ⊆ Out D648D6.1(C2^2xC6)288,991
D6.2(C22×C6) = C6×D42S3φ: C22×C6/C2×C6C2 ⊆ Out D648D6.2(C2^2xC6)288,993
D6.3(C22×C6) = C3×D46D6φ: C22×C6/C2×C6C2 ⊆ Out D6244D6.3(C2^2xC6)288,994
D6.4(C22×C6) = C6×Q83S3φ: C22×C6/C2×C6C2 ⊆ Out D696D6.4(C2^2xC6)288,996
D6.5(C22×C6) = C3×Q8.15D6φ: C22×C6/C2×C6C2 ⊆ Out D6484D6.5(C2^2xC6)288,997
D6.6(C22×C6) = C3×D4○D12φ: C22×C6/C2×C6C2 ⊆ Out D6484D6.6(C2^2xC6)288,999
D6.7(C22×C6) = C3×Q8○D12φ: C22×C6/C2×C6C2 ⊆ Out D6484D6.7(C2^2xC6)288,1000
D6.8(C22×C6) = S3×C22×C12φ: trivial image96D6.8(C2^2xC6)288,989
D6.9(C22×C6) = S3×C6×Q8φ: trivial image96D6.9(C2^2xC6)288,995
D6.10(C22×C6) = C3×S3×C4○D4φ: trivial image484D6.10(C2^2xC6)288,998

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