Extensions 1→N→G→Q→1 with N=C4 and Q=C5xC10

Direct product G=NxQ with N=C4 and Q=C5xC10
dρLabelID
C10xC20200C10xC20200,37

Semidirect products G=N:Q with N=C4 and Q=C5xC10
extensionφ:Q→Aut NdρLabelID
C4:(C5xC10) = D4xC52φ: C5xC10/C52C2 ⊆ Aut C4100C4:(C5xC10)200,38

Non-split extensions G=N.Q with N=C4 and Q=C5xC10
extensionφ:Q→Aut NdρLabelID
C4.(C5xC10) = Q8xC52φ: C5xC10/C52C2 ⊆ Aut C4200C4.(C5xC10)200,39

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