Extensions 1→N→G→Q→1 with N=C3 and Q=Dic12

Direct product G=N×Q with N=C3 and Q=Dic12
dρLabelID
C3×Dic12482C3xDic12144,73

Semidirect products G=N:Q with N=C3 and Q=Dic12
extensionφ:Q→Aut NdρLabelID
C31Dic12 = C325Q16φ: Dic12/C24C2 ⊆ Aut C3144C3:1Dic12144,89
C32Dic12 = C323Q16φ: Dic12/Dic6C2 ⊆ Aut C3484-C3:2Dic12144,62

Non-split extensions G=N.Q with N=C3 and Q=Dic12
extensionφ:Q→Aut NdρLabelID
C3.Dic12 = Dic36φ: Dic12/C24C2 ⊆ Aut C31442-C3.Dic12144,4

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