Extensions 1→N→G→Q→1 with N=C5:F5 and Q=C4

Direct product G=NxQ with N=C5:F5 and Q=C4
dρLabelID
C4xC5:F5100C4xC5:F5400,151

Semidirect products G=N:Q with N=C5:F5 and Q=C4
extensionφ:Q→Out NdρLabelID
C5:F5:C4 = F52φ: C4/C1C4 ⊆ Out C5:F52016+C5:F5:C4400,205
C5:F5:2C4 = C52:3C42φ: C4/C2C2 ⊆ Out C5:F5208+C5:F5:2C4400,124

Non-split extensions G=N.Q with N=C5:F5 and Q=C4
extensionφ:Q→Out NdρLabelID
C5:F5.C4 = C2xC52:C8φ: C4/C2C2 ⊆ Out C5:F5208+C5:F5.C4400,208

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