Extensions 1→N→G→Q→1 with N=C5 and Q=C6.C42

Direct product G=NxQ with N=C5 and Q=C6.C42
dρLabelID
C5xC6.C42480C5xC6.C4^2480,150

Semidirect products G=N:Q with N=C5 and Q=C6.C42
extensionφ:Q→Aut NdρLabelID
C5:1(C6.C42) = D10.20D12φ: C6.C42/C2xDic3C4 ⊆ Aut C5120C5:1(C6.C4^2)480,243
C5:2(C6.C42) = D10.10D12φ: C6.C42/C2xC12C4 ⊆ Aut C5120C5:2(C6.C4^2)480,311
C5:3(C6.C42) = C30.24C42φ: C6.C42/C22xDic3C2 ⊆ Aut C5480C5:3(C6.C4^2)480,70
C5:4(C6.C42) = C30.29C42φ: C6.C42/C22xC12C2 ⊆ Aut C5480C5:4(C6.C4^2)480,191


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