Extensions 1→N→G→Q→1 with N=D6 and Q=C2×C6

Direct product G=N×Q with N=D6 and Q=C2×C6

Semidirect products G=N:Q with N=D6 and Q=C2×C6
extensionφ:Q→Out NdρLabelID
D61(C2×C6) = C6×D12φ: C2×C6/C6C2 ⊆ Out D648D6:1(C2xC6)144,160
D62(C2×C6) = C3×S3×D4φ: C2×C6/C6C2 ⊆ Out D6244D6:2(C2xC6)144,162
D63(C2×C6) = C6×C3⋊D4φ: C2×C6/C6C2 ⊆ Out D624D6:3(C2xC6)144,167

Non-split extensions G=N.Q with N=D6 and Q=C2×C6
extensionφ:Q→Out NdρLabelID
D6.1(C2×C6) = C3×C4○D12φ: C2×C6/C6C2 ⊆ Out D6242D6.1(C2xC6)144,161
D6.2(C2×C6) = C3×D42S3φ: C2×C6/C6C2 ⊆ Out D6244D6.2(C2xC6)144,163
D6.3(C2×C6) = C3×Q83S3φ: C2×C6/C6C2 ⊆ Out D6484D6.3(C2xC6)144,165
D6.4(C2×C6) = S3×C2×C12φ: trivial image48D6.4(C2xC6)144,159
D6.5(C2×C6) = C3×S3×Q8φ: trivial image484D6.5(C2xC6)144,164