Extensions 1→N→G→Q→1 with N=C5 and Q=C2xDic3:C4

Direct product G=NxQ with N=C5 and Q=C2xDic3:C4
dρLabelID
C10xDic3:C4480C10xDic3:C4480,802

Semidirect products G=N:Q with N=C5 and Q=C2xDic3:C4
extensionφ:Q→Aut NdρLabelID
C5:(C2xDic3:C4) = C2xDic3:F5φ: C2xDic3:C4/C2xDic3C4 ⊆ Aut C5120C5:(C2xDic3:C4)480,1001
C5:2(C2xDic3:C4) = D5xDic3:C4φ: C2xDic3:C4/Dic3:C4C2 ⊆ Aut C5240C5:2(C2xDic3:C4)480,468
C5:3(C2xDic3:C4) = C2xDic15:5C4φ: C2xDic3:C4/C22xDic3C2 ⊆ Aut C5480C5:3(C2xDic3:C4)480,620
C5:4(C2xDic3:C4) = C2xC6.Dic10φ: C2xDic3:C4/C22xDic3C2 ⊆ Aut C5480C5:4(C2xDic3:C4)480,621
C5:5(C2xDic3:C4) = C2xC30.4Q8φ: C2xDic3:C4/C22xC12C2 ⊆ Aut C5480C5:5(C2xDic3:C4)480,888


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