Extensions 1→N→G→Q→1 with N=C3 and Q=C8xDic3

Direct product G=NxQ with N=C3 and Q=C8xDic3
dρLabelID
Dic3xC2496Dic3xC24288,247

Semidirect products G=N:Q with N=C3 and Q=C8xDic3
extensionφ:Q→Aut NdρLabelID
C3:1(C8xDic3) = C6.(S3xC8)φ: C8xDic3/C2xC3:C8C2 ⊆ Aut C396C3:1(C8xDic3)288,201
C3:2(C8xDic3) = Dic3xC3:C8φ: C8xDic3/C4xDic3C2 ⊆ Aut C396C3:2(C8xDic3)288,200
C3:3(C8xDic3) = C8xC3:Dic3φ: C8xDic3/C2xC24C2 ⊆ Aut C3288C3:3(C8xDic3)288,288

Non-split extensions G=N.Q with N=C3 and Q=C8xDic3
extensionφ:Q→Aut NdρLabelID
C3.(C8xDic3) = C8xDic9φ: C8xDic3/C2xC24C2 ⊆ Aut C3288C3.(C8xDic3)288,21

׿
x
:
Z
F
o
wr
Q
<