Extensions 1→N→G→Q→1 with N=C6 and Q=Dic3

Direct product G=NxQ with N=C6 and Q=Dic3
dρLabelID
C6xDic324C6xDic372,29

Semidirect products G=N:Q with N=C6 and Q=Dic3
extensionφ:Q→Aut NdρLabelID
C6:Dic3 = C2xC3:Dic3φ: Dic3/C6C2 ⊆ Aut C672C6:Dic372,34

Non-split extensions G=N.Q with N=C6 and Q=Dic3
extensionφ:Q→Aut NdρLabelID
C6.1Dic3 = C9:C8φ: Dic3/C6C2 ⊆ Aut C6722C6.1Dic372,1
C6.2Dic3 = C2xDic9φ: Dic3/C6C2 ⊆ Aut C672C6.2Dic372,7
C6.3Dic3 = C32:4C8φ: Dic3/C6C2 ⊆ Aut C672C6.3Dic372,13
C6.4Dic3 = C3xC3:C8central extension (φ=1)242C6.4Dic372,12

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