Extensions 1→N→G→Q→1 with N=C5 and Q=C5xD8

Direct product G=NxQ with N=C5 and Q=C5xD8
dρLabelID
D8xC52200D8xC5^2400,113

Semidirect products G=N:Q with N=C5 and Q=C5xD8
extensionφ:Q→Aut NdρLabelID
C5:1(C5xD8) = C5xD40φ: C5xD8/C40C2 ⊆ Aut C5802C5:1(C5xD8)400,79
C5:2(C5xD8) = C5xD4:D5φ: C5xD8/C5xD4C2 ⊆ Aut C5404C5:2(C5xD8)400,87

Non-split extensions G=N.Q with N=C5 and Q=C5xD8
extensionφ:Q→Aut NdρLabelID
C5.(C5xD8) = D8xC25central extension (φ=1)2002C5.(C5xD8)400,25

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