Extensions 1→N→G→Q→1 with N=C5 and Q=Q8xD5

Direct product G=NxQ with N=C5 and Q=Q8xD5
dρLabelID
C5xQ8xD5804C5xQ8xD5400,187

Semidirect products G=N:Q with N=C5 and Q=Q8xD5
extensionφ:Q→Aut NdρLabelID
C5:1(Q8xD5) = Dic10:D5φ: Q8xD5/Dic10C2 ⊆ Aut C5404C5:1(Q8xD5)400,166
C5:2(Q8xD5) = D5xDic10φ: Q8xD5/C4xD5C2 ⊆ Aut C5804-C5:2(Q8xD5)400,163
C5:3(Q8xD5) = Q8xC5:D5φ: Q8xD5/C5xQ8C2 ⊆ Aut C5200C5:3(Q8xD5)400,197

Non-split extensions G=N.Q with N=C5 and Q=Q8xD5
extensionφ:Q→Aut NdρLabelID
C5.(Q8xD5) = Q8xD25φ: Q8xD5/C5xQ8C2 ⊆ Aut C52004-C5.(Q8xD5)400,41

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