Extensions 1→N→G→Q→1 with N=D6 and Q=C2xC10

Direct product G=NxQ with N=D6 and Q=C2xC10
dρLabelID
S3xC22xC10120S3xC2^2xC10240,206

Semidirect products G=N:Q with N=D6 and Q=C2xC10
extensionφ:Q→Out NdρLabelID
D6:1(C2xC10) = C10xD12φ: C2xC10/C10C2 ⊆ Out D6120D6:1(C2xC10)240,167
D6:2(C2xC10) = C5xS3xD4φ: C2xC10/C10C2 ⊆ Out D6604D6:2(C2xC10)240,169
D6:3(C2xC10) = C10xC3:D4φ: C2xC10/C10C2 ⊆ Out D6120D6:3(C2xC10)240,174

Non-split extensions G=N.Q with N=D6 and Q=C2xC10
extensionφ:Q→Out NdρLabelID
D6.1(C2xC10) = C5xC4oD12φ: C2xC10/C10C2 ⊆ Out D61202D6.1(C2xC10)240,168
D6.2(C2xC10) = C5xD4:2S3φ: C2xC10/C10C2 ⊆ Out D61204D6.2(C2xC10)240,170
D6.3(C2xC10) = C5xQ8:3S3φ: C2xC10/C10C2 ⊆ Out D61204D6.3(C2xC10)240,172
D6.4(C2xC10) = S3xC2xC20φ: trivial image120D6.4(C2xC10)240,166
D6.5(C2xC10) = C5xS3xQ8φ: trivial image1204D6.5(C2xC10)240,171

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