Extensions 1→N→G→Q→1 with N=C5 and Q=C4.Q8

Direct product G=NxQ with N=C5 and Q=C4.Q8
dρLabelID
C5xC4.Q8160C5xC4.Q8160,56

Semidirect products G=N:Q with N=C5 and Q=C4.Q8
extensionφ:Q→Aut NdρLabelID
C5:(C4.Q8) = C40:C4φ: C4.Q8/C8C4 ⊆ Aut C5404C5:(C4.Q8)160,68
C5:2(C4.Q8) = C20.Q8φ: C4.Q8/C4:C4C2 ⊆ Aut C5160C5:2(C4.Q8)160,15
C5:3(C4.Q8) = C40:6C4φ: C4.Q8/C2xC8C2 ⊆ Aut C5160C5:3(C4.Q8)160,24


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