Extensions 1→N→G→Q→1 with N=C52:C4 and Q=C22

Direct product G=NxQ with N=C52:C4 and Q=C22
dρLabelID
C22xC52:C440C2^2xC5^2:C4400,217

Semidirect products G=N:Q with N=C52:C4 and Q=C22
extensionφ:Q→Out NdρLabelID
C52:C4:1C22 = C2xD5:F5φ: C22/C2C2 ⊆ Out C52:C4208+C5^2:C4:1C2^2400,210
C52:C4:2C22 = C2xD5wrC2φ: C22/C2C2 ⊆ Out C52:C4204+C5^2:C4:2C2^2400,211

Non-split extensions G=N.Q with N=C52:C4 and Q=C22
extensionφ:Q→Out NdρLabelID
C52:C4.C22 = D5wrC2:C2φ: C22/C1C22 ⊆ Out C52:C4108+C5^2:C4.C2^2400,207
C52:C4.2C22 = C2xC52:Q8φ: C22/C2C2 ⊆ Out C52:C4208+C5^2:C4.2C2^2400,212

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