Extensions 1→N→G→Q→1 with N=D6 and Q=C5:C8

Direct product G=NxQ with N=D6 and Q=C5:C8
dρLabelID
C2xS3xC5:C8240C2xS3xC5:C8480,1002

Semidirect products G=N:Q with N=D6 and Q=C5:C8
extensionφ:Q→Out NdρLabelID
D6:(C5:C8) = Dic5.22D12φ: C5:C8/Dic5C2 ⊆ Out D6240D6:(C5:C8)480,246

Non-split extensions G=N.Q with N=D6 and Q=C5:C8
extensionφ:Q→Out NdρLabelID
D6.(C5:C8) = C15:M5(2)φ: C5:C8/Dic5C2 ⊆ Out D62408D6.(C5:C8)480,241
D6.2(C5:C8) = S3xC5:C16φ: trivial image2408D6.2(C5:C8)480,239

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