Extensions 1→N→G→Q→1 with N=D6 and Q=C2×C10

Direct product G=N×Q with N=D6 and Q=C2×C10

Semidirect products G=N:Q with N=D6 and Q=C2×C10
extensionφ:Q→Out NdρLabelID
D61(C2×C10) = C10×D12φ: C2×C10/C10C2 ⊆ Out D6120D6:1(C2xC10)240,167
D62(C2×C10) = C5×S3×D4φ: C2×C10/C10C2 ⊆ Out D6604D6:2(C2xC10)240,169
D63(C2×C10) = C10×C3⋊D4φ: C2×C10/C10C2 ⊆ Out D6120D6:3(C2xC10)240,174

Non-split extensions G=N.Q with N=D6 and Q=C2×C10
extensionφ:Q→Out NdρLabelID
D6.1(C2×C10) = C5×C4○D12φ: C2×C10/C10C2 ⊆ Out D61202D6.1(C2xC10)240,168
D6.2(C2×C10) = C5×D42S3φ: C2×C10/C10C2 ⊆ Out D61204D6.2(C2xC10)240,170
D6.3(C2×C10) = C5×Q83S3φ: C2×C10/C10C2 ⊆ Out D61204D6.3(C2xC10)240,172
D6.4(C2×C10) = S3×C2×C20φ: trivial image120D6.4(C2xC10)240,166
D6.5(C2×C10) = C5×S3×Q8φ: trivial image1204D6.5(C2xC10)240,171