Extensions 1→N→G→Q→1 with N=C5 and Q=C8⋊D6

Direct product G=N×Q with N=C5 and Q=C8⋊D6
dρLabelID
C5×C8⋊D61204C5xC8:D6480,787

Semidirect products G=N:Q with N=C5 and Q=C8⋊D6
extensionφ:Q→Aut NdρLabelID
C51(C8⋊D6) = C24⋊D10φ: C8⋊D6/C24⋊C2C2 ⊆ Aut C51204+C5:1(C8:D6)480,325
C52(C8⋊D6) = D24⋊D5φ: C8⋊D6/D24C2 ⊆ Aut C51204C5:2(C8:D6)480,326
C53(C8⋊D6) = C8⋊D30φ: C8⋊D6/C3×M4(2)C2 ⊆ Aut C51204+C5:3(C8:D6)480,873
C54(C8⋊D6) = D6036C22φ: C8⋊D6/C2×D12C2 ⊆ Aut C51204C5:4(C8:D6)480,380
C55(C8⋊D6) = C60.38D4φ: C8⋊D6/C4○D12C2 ⊆ Aut C51204+C5:5(C8:D6)480,381


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