Extensions 1→N→G→Q→1 with N=C9 and Q=Dic12

Direct product G=N×Q with N=C9 and Q=Dic12
dρLabelID
C9×Dic121442C9xDic12432,113

Semidirect products G=N:Q with N=C9 and Q=Dic12
extensionφ:Q→Aut NdρLabelID
C91Dic12 = C24.D9φ: Dic12/C24C2 ⊆ Aut C9432C9:1Dic12432,168
C92Dic12 = C9⋊Dic12φ: Dic12/Dic6C2 ⊆ Aut C91444-C9:2Dic12432,75

Non-split extensions G=N.Q with N=C9 and Q=Dic12
extensionφ:Q→Aut NdρLabelID
C9.Dic12 = Dic108φ: Dic12/C24C2 ⊆ Aut C94322-C9.Dic12432,4

׿
×
𝔽