Extensions 1→N→G→Q→1 with N=C4 and Q=C5xC20

Direct product G=NxQ with N=C4 and Q=C5xC20
dρLabelID
C202400C20^2400,108

Semidirect products G=N:Q with N=C4 and Q=C5xC20
extensionφ:Q→Aut NdρLabelID
C4:(C5xC20) = C4:C4xC52φ: C5xC20/C5xC10C2 ⊆ Aut C4400C4:(C5xC20)400,110

Non-split extensions G=N.Q with N=C4 and Q=C5xC20
extensionφ:Q→Aut NdρLabelID
C4.(C5xC20) = M4(2)xC52φ: C5xC20/C5xC10C2 ⊆ Aut C4200C4.(C5xC20)400,112

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