Extensions 1→N→G→Q→1 with N=C8 and Q=C10

Direct product G=NxQ with N=C8 and Q=C10
dρLabelID
C2xC4080C2xC4080,23

Semidirect products G=N:Q with N=C8 and Q=C10
extensionφ:Q→Aut NdρLabelID
C8:1C10 = C5xD8φ: C10/C5C2 ⊆ Aut C8402C8:1C1080,25
C8:2C10 = C5xSD16φ: C10/C5C2 ⊆ Aut C8402C8:2C1080,26
C8:3C10 = C5xM4(2)φ: C10/C5C2 ⊆ Aut C8402C8:3C1080,24

Non-split extensions G=N.Q with N=C8 and Q=C10
extensionφ:Q→Aut NdρLabelID
C8.C10 = C5xQ16φ: C10/C5C2 ⊆ Aut C8802C8.C1080,27

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