Extensions 1→N→G→Q→1 with N=C8 and Q=C20

Direct product G=N×Q with N=C8 and Q=C20
dρLabelID
C4×C40160C4xC40160,46

Semidirect products G=N:Q with N=C8 and Q=C20
extensionφ:Q→Aut NdρLabelID
C81C20 = C5×C2.D8φ: C20/C10C2 ⊆ Aut C8160C8:1C20160,57
C82C20 = C5×C4.Q8φ: C20/C10C2 ⊆ Aut C8160C8:2C20160,56
C83C20 = C5×C8⋊C4φ: C20/C10C2 ⊆ Aut C8160C8:3C20160,47

Non-split extensions G=N.Q with N=C8 and Q=C20
extensionφ:Q→Aut NdρLabelID
C8.1C20 = C5×C8.C4φ: C20/C10C2 ⊆ Aut C8802C8.1C20160,58
C8.2C20 = C5×M5(2)φ: C20/C10C2 ⊆ Aut C8802C8.2C20160,60

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