Extensions 1→N→G→Q→1 with N=C10 and Q=Dic7

Direct product G=NxQ with N=C10 and Q=Dic7
dρLabelID
C10xDic7280C10xDic7280,17

Semidirect products G=N:Q with N=C10 and Q=Dic7
extensionφ:Q→Aut NdρLabelID
C10:Dic7 = C2xC7:F5φ: Dic7/C7C4 ⊆ Aut C10704C10:Dic7280,35
C10:2Dic7 = C2xDic35φ: Dic7/C14C2 ⊆ Aut C10280C10:2Dic7280,27

Non-split extensions G=N.Q with N=C10 and Q=Dic7
extensionφ:Q→Aut NdρLabelID
C10.Dic7 = C35:C8φ: Dic7/C7C4 ⊆ Aut C102804C10.Dic7280,6
C10.2Dic7 = C35:3C8φ: Dic7/C14C2 ⊆ Aut C102802C10.2Dic7280,3
C10.3Dic7 = C5xC7:C8central extension (φ=1)2802C10.3Dic7280,2

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