Extensions 1→N→G→Q→1 with N=C8 and Q=C5xDic3

Direct product G=NxQ with N=C8 and Q=C5xDic3
dρLabelID
Dic3xC40480Dic3xC40480,132

Semidirect products G=N:Q with N=C8 and Q=C5xDic3
extensionφ:Q→Aut NdρLabelID
C8:1(C5xDic3) = C5xC24:1C4φ: C5xDic3/C30C2 ⊆ Aut C8480C8:1(C5xDic3)480,137
C8:2(C5xDic3) = C5xC8:Dic3φ: C5xDic3/C30C2 ⊆ Aut C8480C8:2(C5xDic3)480,136
C8:3(C5xDic3) = C5xC24:C4φ: C5xDic3/C30C2 ⊆ Aut C8480C8:3(C5xDic3)480,134

Non-split extensions G=N.Q with N=C8 and Q=C5xDic3
extensionφ:Q→Aut NdρLabelID
C8.1(C5xDic3) = C5xC24.C4φ: C5xDic3/C30C2 ⊆ Aut C82402C8.1(C5xDic3)480,138
C8.2(C5xDic3) = C5xC12.C8φ: C5xDic3/C30C2 ⊆ Aut C82402C8.2(C5xDic3)480,131
C8.3(C5xDic3) = C5xC3:C32central extension (φ=1)4802C8.3(C5xDic3)480,1
C8.4(C5xDic3) = C10xC3:C16central extension (φ=1)480C8.4(C5xDic3)480,130

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