Extensions 1→N→G→Q→1 with N=C3xD5 and Q=C23

Direct product G=NxQ with N=C3xD5 and Q=C23
dρLabelID
D5xC22xC6120D5xC2^2xC6240,205

Semidirect products G=N:Q with N=C3xD5 and Q=C23
extensionφ:Q→Out NdρLabelID
(C3xD5):C23 = C22xS3xD5φ: C23/C22C2 ⊆ Out C3xD560(C3xD5):C2^3240,202

Non-split extensions G=N.Q with N=C3xD5 and Q=C23
extensionφ:Q→Out NdρLabelID
(C3xD5).C23 = C2xS3xF5φ: C23/C2C22 ⊆ Out C3xD5308+(C3xD5).C2^3240,195
(C3xD5).2C23 = C22xC3:F5φ: C23/C22C2 ⊆ Out C3xD560(C3xD5).2C2^3240,201
(C3xD5).3C23 = C2xC6xF5φ: C23/C22C2 ⊆ Out C3xD560(C3xD5).3C2^3240,200

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