Extensions 1→N→G→Q→1 with N=C5xD5 and Q=C22

Direct product G=NxQ with N=C5xD5 and Q=C22
dρLabelID
D5xC2xC1040D5xC2xC10200,50

Semidirect products G=N:Q with N=C5xD5 and Q=C22
extensionφ:Q→Out NdρLabelID
(C5xD5):C22 = C2xD52φ: C22/C2C2 ⊆ Out C5xD5204+(C5xD5):C2^2200,49

Non-split extensions G=N.Q with N=C5xD5 and Q=C22
extensionφ:Q→Out NdρLabelID
(C5xD5).C22 = D5xF5φ: C22/C1C22 ⊆ Out C5xD5208+(C5xD5).C2^2200,41
(C5xD5).2C22 = C10xF5φ: C22/C2C2 ⊆ Out C5xD5404(C5xD5).2C2^2200,45
(C5xD5).3C22 = C2xD5.D5φ: C22/C2C2 ⊆ Out C5xD5404(C5xD5).3C2^2200,46

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