Extensions 1→N→G→Q→1 with N=C7xD5 and Q=C22

Direct product G=NxQ with N=C7xD5 and Q=C22
dρLabelID
D5xC2xC14140D5xC2xC14280,38

Semidirect products G=N:Q with N=C7xD5 and Q=C22
extensionφ:Q→Out NdρLabelID
(C7xD5):C22 = C2xD5xD7φ: C22/C2C2 ⊆ Out C7xD5704+(C7xD5):C2^2280,36

Non-split extensions G=N.Q with N=C7xD5 and Q=C22
extensionφ:Q→Out NdρLabelID
(C7xD5).C22 = D7xF5φ: C22/C1C22 ⊆ Out C7xD5358+(C7xD5).C2^2280,32
(C7xD5).2C22 = C2xC7:F5φ: C22/C2C2 ⊆ Out C7xD5704(C7xD5).2C2^2280,35
(C7xD5).3C22 = C14xF5φ: C22/C2C2 ⊆ Out C7xD5704(C7xD5).3C2^2280,34

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