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

Direct product G=NxQ with N=C8 and Q=C3:Dic3
dρLabelID
C8xC3:Dic3288C8xC3:Dic3288,288

Semidirect products G=N:Q with N=C8 and Q=C3:Dic3
extensionφ:Q→Aut NdρLabelID
C8:1(C3:Dic3) = C24:1Dic3φ: C3:Dic3/C3xC6C2 ⊆ Aut C8288C8:1(C3:Dic3)288,293
C8:2(C3:Dic3) = C24:2Dic3φ: C3:Dic3/C3xC6C2 ⊆ Aut C8288C8:2(C3:Dic3)288,292
C8:3(C3:Dic3) = C24:Dic3φ: C3:Dic3/C3xC6C2 ⊆ Aut C8288C8:3(C3:Dic3)288,290

Non-split extensions G=N.Q with N=C8 and Q=C3:Dic3
extensionφ:Q→Aut NdρLabelID
C8.1(C3:Dic3) = C12.59D12φ: C3:Dic3/C3xC6C2 ⊆ Aut C8144C8.1(C3:Dic3)288,294
C8.2(C3:Dic3) = C24.94D6φ: C3:Dic3/C3xC6C2 ⊆ Aut C8144C8.2(C3:Dic3)288,287
C8.3(C3:Dic3) = C48.S3central extension (φ=1)288C8.3(C3:Dic3)288,65
C8.4(C3:Dic3) = C2xC24.S3central extension (φ=1)288C8.4(C3:Dic3)288,286

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