Extensions 1→N→G→Q→1 with N=Dic3 and Q=C26

Direct product G=NxQ with N=Dic3 and Q=C26
dρLabelID
Dic3xC26312Dic3xC26312,35

Semidirect products G=N:Q with N=Dic3 and Q=C26
extensionφ:Q→Out NdρLabelID
Dic3:C26 = C13xC3:D4φ: C26/C13C2 ⊆ Out Dic31562Dic3:C26312,36
Dic3:2C26 = S3xC52φ: trivial image1562Dic3:2C26312,33

Non-split extensions G=N.Q with N=Dic3 and Q=C26
extensionφ:Q→Out NdρLabelID
Dic3.C26 = C13xDic6φ: C26/C13C2 ⊆ Out Dic33122Dic3.C26312,32

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