Extensions 1→N→G→Q→1 with N=C10 and Q=C5:2C8

Direct product G=NxQ with N=C10 and Q=C5:2C8
dρLabelID
C10xC5:2C880C10xC5:2C8400,81

Semidirect products G=N:Q with N=C10 and Q=C5:2C8
extensionφ:Q→Aut NdρLabelID
C10:(C5:2C8) = C2xC52:3C8φ: C5:2C8/C10C4 ⊆ Aut C1080C10:(C5:2C8)400,146
C10:2(C5:2C8) = C2xC52:7C8φ: C5:2C8/C20C2 ⊆ Aut C10400C10:2(C5:2C8)400,97

Non-split extensions G=N.Q with N=C10 and Q=C5:2C8
extensionφ:Q→Aut NdρLabelID
C10.(C5:2C8) = C52:3C16φ: C5:2C8/C10C4 ⊆ Aut C10804C10.(C5:2C8)400,57
C10.2(C5:2C8) = C25:2C16φ: C5:2C8/C20C2 ⊆ Aut C104002C10.2(C5:2C8)400,1
C10.3(C5:2C8) = C2xC25:2C8φ: C5:2C8/C20C2 ⊆ Aut C10400C10.3(C5:2C8)400,9
C10.4(C5:2C8) = C52:7C16φ: C5:2C8/C20C2 ⊆ Aut C10400C10.4(C5:2C8)400,50
C10.5(C5:2C8) = C5xC5:2C16central extension (φ=1)802C10.5(C5:2C8)400,49

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