Extensions 1→N→G→Q→1 with N=C25 and Q=Dic5

Direct product G=N×Q with N=C25 and Q=Dic5
dρLabelID
Dic5×C251002Dic5xC25500,7

Semidirect products G=N:Q with N=C25 and Q=Dic5
extensionφ:Q→Aut NdρLabelID
C25⋊Dic5 = D25.D5φ: Dic5/C5C4 ⊆ Aut C251004C25:Dic5500,20
C252Dic5 = C50.D5φ: Dic5/C10C2 ⊆ Aut C25500C25:2Dic5500,10

Non-split extensions G=N.Q with N=C25 and Q=Dic5
extensionφ:Q→Aut NdρLabelID
C25.Dic5 = Dic125φ: Dic5/C10C2 ⊆ Aut C255002-C25.Dic5500,1

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