Extensions 1→N→G→Q→1 with N=C10 and Q=C3xQ8

Direct product G=NxQ with N=C10 and Q=C3xQ8
dρLabelID
Q8xC30240Q8xC30240,187

Semidirect products G=N:Q with N=C10 and Q=C3xQ8
extensionφ:Q→Aut NdρLabelID
C10:(C3xQ8) = C6xDic10φ: C3xQ8/C12C2 ⊆ Aut C10240C10:(C3xQ8)240,155

Non-split extensions G=N.Q with N=C10 and Q=C3xQ8
extensionφ:Q→Aut NdρLabelID
C10.1(C3xQ8) = C3xC10.D4φ: C3xQ8/C12C2 ⊆ Aut C10240C10.1(C3xQ8)240,41
C10.2(C3xQ8) = C3xC4:Dic5φ: C3xQ8/C12C2 ⊆ Aut C10240C10.2(C3xQ8)240,42
C10.3(C3xQ8) = C15xC4:C4central extension (φ=1)240C10.3(C3xQ8)240,83

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