Extensions 1→N→G→Q→1 with N=C3:Dic3 and Q=C10

Direct product G=NxQ with N=C3:Dic3 and Q=C10
dρLabelID
C10xC3:Dic3360C10xC3:Dic3360,108

Semidirect products G=N:Q with N=C3:Dic3 and Q=C10
extensionφ:Q→Out NdρLabelID
C3:Dic3:1C10 = C5xS3xDic3φ: C10/C5C2 ⊆ Out C3:Dic31204C3:Dic3:1C10360,72
C3:Dic3:2C10 = C5xD6:S3φ: C10/C5C2 ⊆ Out C3:Dic31204C3:Dic3:2C10360,74
C3:Dic3:3C10 = C5xC32:7D4φ: C10/C5C2 ⊆ Out C3:Dic3180C3:Dic3:3C10360,109
C3:Dic3:4C10 = C3:S3xC20φ: trivial image180C3:Dic3:4C10360,106

Non-split extensions G=N.Q with N=C3:Dic3 and Q=C10
extensionφ:Q→Out NdρLabelID
C3:Dic3.1C10 = C5xC32:2C8φ: C10/C5C2 ⊆ Out C3:Dic31204C3:Dic3.1C10360,55
C3:Dic3.2C10 = C5xC32:2Q8φ: C10/C5C2 ⊆ Out C3:Dic31204C3:Dic3.2C10360,76
C3:Dic3.3C10 = C5xC32:4Q8φ: C10/C5C2 ⊆ Out C3:Dic3360C3:Dic3.3C10360,105

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