Extensions 1→N→G→Q→1 with N=C5 and Q=C4×D12

Direct product G=N×Q with N=C5 and Q=C4×D12
dρLabelID
C20×D12240C20xD12480,752

Semidirect products G=N:Q with N=C5 and Q=C4×D12
extensionφ:Q→Aut NdρLabelID
C5⋊(C4×D12) = F5×D12φ: C4×D12/D12C4 ⊆ Aut C5608+C5:(C4xD12)480,995
C52(C4×D12) = D6017C4φ: C4×D12/C4⋊Dic3C2 ⊆ Aut C5240C5:2(C4xD12)480,494
C53(C4×D12) = Dic54D12φ: C4×D12/D6⋊C4C2 ⊆ Aut C5240C5:3(C4xD12)480,481
C54(C4×D12) = C4×D60φ: C4×D12/C4×C12C2 ⊆ Aut C5240C5:4(C4xD12)480,838
C55(C4×D12) = C4×C5⋊D12φ: C4×D12/S3×C2×C4C2 ⊆ Aut C5240C5:5(C4xD12)480,521
C56(C4×D12) = Dic5×D12φ: C4×D12/C2×D12C2 ⊆ Aut C5240C5:6(C4xD12)480,491


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