Extensions 1→N→G→Q→1 with N=C3 and Q=C2.Dic12

Direct product G=NxQ with N=C3 and Q=C2.Dic12
dρLabelID
C3xC2.Dic1296C3xC2.Dic12288,250

Semidirect products G=N:Q with N=C3 and Q=C2.Dic12
extensionφ:Q→Aut NdρLabelID
C3:1(C2.Dic12) = C12.73D12φ: C2.Dic12/C4:Dic3C2 ⊆ Aut C396C3:1(C2.Dic12)288,215
C3:2(C2.Dic12) = C6.4Dic12φ: C2.Dic12/C2xC24C2 ⊆ Aut C3288C3:2(C2.Dic12)288,291
C3:3(C2.Dic12) = C6.Dic12φ: C2.Dic12/C2xDic6C2 ⊆ Aut C396C3:3(C2.Dic12)288,214

Non-split extensions G=N.Q with N=C3 and Q=C2.Dic12
extensionφ:Q→Aut NdρLabelID
C3.(C2.Dic12) = C36.45D4φ: C2.Dic12/C2xC24C2 ⊆ Aut C3288C3.(C2.Dic12)288,24

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