Extensions 1→N→G→Q→1 with N=C3 and Q=Dic36

Direct product G=N×Q with N=C3 and Q=Dic36
dρLabelID
C3×Dic361442C3xDic36432,104

Semidirect products G=N:Q with N=C3 and Q=Dic36
extensionφ:Q→Aut NdρLabelID
C31Dic36 = C24.D9φ: Dic36/C72C2 ⊆ Aut C3432C3:1Dic36432,168
C32Dic36 = C3⋊Dic36φ: Dic36/Dic18C2 ⊆ Aut C31444-C3:2Dic36432,65

Non-split extensions G=N.Q with N=C3 and Q=Dic36
extensionφ:Q→Aut NdρLabelID
C3.Dic36 = Dic108φ: Dic36/C72C2 ⊆ Aut C34322-C3.Dic36432,4

׿
×
𝔽