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

Direct product G=NxQ with N=Dic3 and Q=C5:C8
dρLabelID
Dic3xC5:C8480Dic3xC5:C8480,244

Semidirect products G=N:Q with N=Dic3 and Q=C5:C8
extensionφ:Q→Out NdρLabelID
Dic3:(C5:C8) = C30.4M4(2)φ: C5:C8/Dic5C2 ⊆ Out Dic3480Dic3:(C5:C8)480,252

Non-split extensions G=N.Q with N=Dic3 and Q=C5:C8
extensionφ:Q→Out NdρLabelID
Dic3.(C5:C8) = C15:M5(2)φ: C5:C8/Dic5C2 ⊆ Out Dic32408Dic3.(C5:C8)480,241
Dic3.2(C5:C8) = S3xC5:C16φ: trivial image2408Dic3.2(C5:C8)480,239

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