Extensions 1→N→G→Q→1 with N=C5 and Q=C12.47D4

Direct product G=NxQ with N=C5 and Q=C12.47D4
dρLabelID
C5xC12.47D42404C5xC12.47D4480,143

Semidirect products G=N:Q with N=C5 and Q=C12.47D4
extensionφ:Q→Aut NdρLabelID
C5:(C12.47D4) = Dic5.4D12φ: C12.47D4/C2xDic3C4 ⊆ Aut C52408-C5:(C12.47D4)480,251
C5:2(C12.47D4) = C60.31D4φ: C12.47D4/C4.Dic3C2 ⊆ Aut C52404-C5:2(C12.47D4)480,39
C5:3(C12.47D4) = C4.D60φ: C12.47D4/C3xM4(2)C2 ⊆ Aut C52404-C5:3(C12.47D4)480,184
C5:4(C12.47D4) = C60.54D4φ: C12.47D4/C2xDic6C2 ⊆ Aut C52404C5:4(C12.47D4)480,38


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