Extensions 1→N→G→Q→1 with N=C3 and Q=C8:Dic3

Direct product G=NxQ with N=C3 and Q=C8:Dic3
dρLabelID
C3xC8:Dic396C3xC8:Dic3288,251

Semidirect products G=N:Q with N=C3 and Q=C8:Dic3
extensionφ:Q→Aut NdρLabelID
C3:1(C8:Dic3) = C12.Dic6φ: C8:Dic3/C4:Dic3C2 ⊆ Aut C396C3:1(C8:Dic3)288,221
C3:2(C8:Dic3) = C24:2Dic3φ: C8:Dic3/C2xC24C2 ⊆ Aut C3288C3:2(C8:Dic3)288,292

Non-split extensions G=N.Q with N=C3 and Q=C8:Dic3
extensionφ:Q→Aut NdρLabelID
C3.(C8:Dic3) = C8:Dic9φ: C8:Dic3/C2xC24C2 ⊆ Aut C3288C3.(C8:Dic3)288,25

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