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

Direct product G=NxQ with N=C5 and Q=C2.D24
dρLabelID
C5xC2.D24240C5xC2.D24480,140

Semidirect products G=N:Q with N=C5 and Q=C2.D24
extensionφ:Q→Aut NdρLabelID
C5:(C2.D24) = D12:F5φ: C2.D24/D12C4 ⊆ Aut C51208+C5:(C2.D24)480,228
C5:2(C2.D24) = D60:15C4φ: C2.D24/C4:Dic3C2 ⊆ Aut C5240C5:2(C2.D24)480,45
C5:3(C2.D24) = D60:8C4φ: C2.D24/C2xC24C2 ⊆ Aut C5240C5:3(C2.D24)480,181
C5:4(C2.D24) = C10.D24φ: C2.D24/C2xD12C2 ⊆ Aut C5240C5:4(C2.D24)480,43


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