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
C5×C4○D121202C5xC4oD12240,168

Semidirect products G=N:Q with N=C5 and Q=C4○D12
extensionφ:Q→Aut NdρLabelID
C51(C4○D12) = C12.28D10φ: C4○D12/Dic6C2 ⊆ Aut C51204+C5:1(C4oD12)240,134
C52(C4○D12) = D6.D10φ: C4○D12/C4×S3C2 ⊆ Aut C51204C5:2(C4oD12)240,132
C53(C4○D12) = D125D5φ: C4○D12/D12C2 ⊆ Aut C51204-C5:3(C4oD12)240,133
C54(C4○D12) = Dic3.D10φ: C4○D12/C3⋊D4C2 ⊆ Aut C51204C5:4(C4oD12)240,143
C55(C4○D12) = D6011C2φ: C4○D12/C2×C12C2 ⊆ Aut C51202C5:5(C4oD12)240,178


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