Extensions 1→N→G→Q→1 with N=C5:F5 and Q=C22

Direct product G=NxQ with N=C5:F5 and Q=C22
dρLabelID
C22xC5:F5100C2^2xC5:F5400,216

Semidirect products G=N:Q with N=C5:F5 and Q=C22
extensionφ:Q→Out NdρLabelID
C5:F5:C22 = C2xD5:F5φ: C22/C2C2 ⊆ Out C5:F5208+C5:F5:C2^2400,210

Non-split extensions G=N.Q with N=C5:F5 and Q=C22
extensionφ:Q→Out NdρLabelID
C5:F5.1C22 = C52:M4(2)φ: C22/C1C22 ⊆ Out C5:F5108+C5:F5.1C2^2400,206
C5:F5.2C22 = D5wrC2:C2φ: C22/C1C22 ⊆ Out C5:F5108+C5:F5.2C2^2400,207
C5:F5.3C22 = C2xC52:C8φ: C22/C2C2 ⊆ Out C5:F5208+C5:F5.3C2^2400,208

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