Extensions 1→N→G→Q→1 with N=C10 and Q=C52C8

Direct product G=N×Q with N=C10 and Q=C52C8
dρLabelID
C10×C52C880C10xC5:2C8400,81

Semidirect products G=N:Q with N=C10 and Q=C52C8
extensionφ:Q→Aut NdρLabelID
C10⋊(C52C8) = C2×C523C8φ: C52C8/C10C4 ⊆ Aut C1080C10:(C5:2C8)400,146
C102(C52C8) = C2×C527C8φ: C52C8/C20C2 ⊆ Aut C10400C10:2(C5:2C8)400,97

Non-split extensions G=N.Q with N=C10 and Q=C52C8
extensionφ:Q→Aut NdρLabelID
C10.(C52C8) = C523C16φ: C52C8/C10C4 ⊆ Aut C10804C10.(C5:2C8)400,57
C10.2(C52C8) = C252C16φ: C52C8/C20C2 ⊆ Aut C104002C10.2(C5:2C8)400,1
C10.3(C52C8) = C2×C252C8φ: C52C8/C20C2 ⊆ Aut C10400C10.3(C5:2C8)400,9
C10.4(C52C8) = C527C16φ: C52C8/C20C2 ⊆ Aut C10400C10.4(C5:2C8)400,50
C10.5(C52C8) = C5×C52C16central extension (φ=1)802C10.5(C5:2C8)400,49

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