Extensions 1→N→G→Q→1 with N=Dic3 and Q=C5:2C8

Direct product G=NxQ with N=Dic3 and Q=C5:2C8
dρLabelID
Dic3xC5:2C8480Dic3xC5:2C8480,26

Semidirect products G=N:Q with N=Dic3 and Q=C5:2C8
extensionφ:Q→Out NdρLabelID
Dic3:(C5:2C8) = C60.15Q8φ: C5:2C8/C20C2 ⊆ Out Dic3480Dic3:(C5:2C8)480,60

Non-split extensions G=N.Q with N=Dic3 and Q=C5:2C8
extensionφ:Q→Out NdρLabelID
Dic3.(C5:2C8) = C40.52D6φ: C5:2C8/C20C2 ⊆ Out Dic32404Dic3.(C5:2C8)480,11
Dic3.2(C5:2C8) = S3xC5:2C16φ: trivial image2404Dic3.2(C5:2C8)480,8

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