Extensions 1→N→G→Q→1 with N=C5 and Q=C12.10D4

Direct product G=NxQ with N=C5 and Q=C12.10D4
dρLabelID
C5xC12.10D42404C5xC12.10D4480,155

Semidirect products G=N:Q with N=C5 and Q=C12.10D4
extensionφ:Q→Aut NdρLabelID
C5:(C12.10D4) = (C2xC60).C4φ: C12.10D4/C2xC12C4 ⊆ Aut C52404C5:(C12.10D4)480,310
C5:2(C12.10D4) = C12.6D20φ: C12.10D4/C4.Dic3C2 ⊆ Aut C52404C5:2(C12.10D4)480,37
C5:3(C12.10D4) = C60.10D4φ: C12.10D4/C6xQ8C2 ⊆ Aut C52404C5:3(C12.10D4)480,196


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