Extensions 1→N→G→Q→1 with N=C5 and Q=C2×D24

Direct product G=N×Q with N=C5 and Q=C2×D24
dρLabelID
C10×D24240C10xD24480,782

Semidirect products G=N:Q with N=C5 and Q=C2×D24
extensionφ:Q→Aut NdρLabelID
C51(C2×D24) = D5×D24φ: C2×D24/D24C2 ⊆ Aut C51204+C5:1(C2xD24)480,324
C52(C2×D24) = C2×D120φ: C2×D24/C2×C24C2 ⊆ Aut C5240C5:2(C2xD24)480,868
C53(C2×D24) = C2×C5⋊D24φ: C2×D24/C2×D12C2 ⊆ Aut C5240C5:3(C2xD24)480,378


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