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Extensions 1→N→G→Q→1 with N=C5 and Q=D8.C4

Direct product G=N×Q with N=C5 and Q=D8.C4
dρLabelID
C5×D8.C41602C5xD8.C4320,164

Semidirect products G=N:Q with N=C5 and Q=D8.C4
extensionφ:Q→Aut NdρLabelID
C5⋊1(D8.C4) = D8.F5φ: D8.C4/D8 → C4 ⊆ Aut C51608-C5:1(D8.C4)320,243
C5⋊2(D8.C4) = Q16.F5φ: D8.C4/Q16 → C4 ⊆ Aut C51608+C5:2(D8.C4)320,247
C5⋊3(D8.C4) = D40.5C4φ: D8.C4/C8.C4 → C2 ⊆ Aut C51604C5:3(D8.C4)320,55
C5⋊4(D8.C4) = D40.3C4φ: D8.C4/C2×C16 → C2 ⊆ Aut C51602C5:4(D8.C4)320,68
C5⋊5(D8.C4) = C20.58D8φ: D8.C4/C4○D8 → C2 ⊆ Aut C51604C5:5(D8.C4)320,125


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