Extensions 1→N→G→Q→1 with N=D6 and Q=C2×C20

Direct product G=N×Q with N=D6 and Q=C2×C20
dρLabelID
S3×C22×C20240S3xC2^2xC20480,1151

Semidirect products G=N:Q with N=D6 and Q=C2×C20
extensionφ:Q→Out NdρLabelID
D61(C2×C20) = C20×D12φ: C2×C20/C20C2 ⊆ Out D6240D6:1(C2xC20)480,752
D62(C2×C20) = C5×Dic34D4φ: C2×C20/C20C2 ⊆ Out D6240D6:2(C2xC20)480,760
D63(C2×C20) = C5×Dic35D4φ: C2×C20/C20C2 ⊆ Out D6240D6:3(C2xC20)480,772
D64(C2×C20) = C20×C3⋊D4φ: C2×C20/C20C2 ⊆ Out D6240D6:4(C2xC20)480,807
D65(C2×C20) = C5×S3×C22⋊C4φ: C2×C20/C2×C10C2 ⊆ Out D6120D6:5(C2xC20)480,759
D66(C2×C20) = C10×D6⋊C4φ: C2×C20/C2×C10C2 ⊆ Out D6240D6:6(C2xC20)480,806

Non-split extensions G=N.Q with N=D6 and Q=C2×C20
extensionφ:Q→Out NdρLabelID
D6.1(C2×C20) = C5×C8○D12φ: C2×C20/C20C2 ⊆ Out D62402D6.1(C2xC20)480,780
D6.2(C2×C20) = C5×D12.C4φ: C2×C20/C20C2 ⊆ Out D62404D6.2(C2xC20)480,786
D6.3(C2×C20) = C5×C422S3φ: C2×C20/C2×C10C2 ⊆ Out D6240D6.3(C2xC20)480,751
D6.4(C2×C20) = C5×C4⋊C47S3φ: C2×C20/C2×C10C2 ⊆ Out D6240D6.4(C2xC20)480,771
D6.5(C2×C20) = C10×C8⋊S3φ: C2×C20/C2×C10C2 ⊆ Out D6240D6.5(C2xC20)480,779
D6.6(C2×C20) = S3×C4×C20φ: trivial image240D6.6(C2xC20)480,750
D6.7(C2×C20) = C5×S3×C4⋊C4φ: trivial image240D6.7(C2xC20)480,770
D6.8(C2×C20) = S3×C2×C40φ: trivial image240D6.8(C2xC20)480,778
D6.9(C2×C20) = C5×S3×M4(2)φ: trivial image1204D6.9(C2xC20)480,785

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