Extensions 1→N→G→Q→1 with N=Dic6 and Q=C20

Direct product G=NxQ with N=Dic6 and Q=C20
dρLabelID
C20xDic6480C20xDic6480,747

Semidirect products G=N:Q with N=Dic6 and Q=C20
extensionφ:Q→Out NdρLabelID
Dic6:1C20 = C5xC42:4S3φ: C20/C10C2 ⊆ Out Dic61202Dic6:1C20480,124
Dic6:2C20 = C5xC2.Dic12φ: C20/C10C2 ⊆ Out Dic6480Dic6:2C20480,135
Dic6:3C20 = C5xC6.SD16φ: C20/C10C2 ⊆ Out Dic6480Dic6:3C20480,129
Dic6:4C20 = C5xD12:C4φ: C20/C10C2 ⊆ Out Dic61204Dic6:4C20480,144
Dic6:5C20 = C5xDic6:C4φ: C20/C10C2 ⊆ Out Dic6480Dic6:5C20480,766

Non-split extensions G=N.Q with N=Dic6 and Q=C20
extensionφ:Q→Out NdρLabelID
Dic6.C20 = C5xD12.C4φ: C20/C10C2 ⊆ Out Dic62404Dic6.C20480,786
Dic6.2C20 = C5xC8oD12φ: trivial image2402Dic6.2C20480,780

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