Extensions 1→N→G→Q→1 with N=C5 and Q=C4.F5

Direct product G=N×Q with N=C5 and Q=C4.F5
dρLabelID
C5×C4.F5804C5xC4.F5400,136

Semidirect products G=N:Q with N=C5 and Q=C4.F5
extensionφ:Q→Aut NdρLabelID
C51(C4.F5) = C527M4(2)φ: C4.F5/C20C4 ⊆ Aut C5200C5:1(C4.F5)400,150
C52(C4.F5) = C528M4(2)φ: C4.F5/C20C4 ⊆ Aut C5404C5:2(C4.F5)400,157
C53(C4.F5) = C524M4(2)φ: C4.F5/D10C4 ⊆ Aut C5808-C5:3(C4.F5)400,128
C54(C4.F5) = Dic5.F5φ: C4.F5/C5⋊C8C2 ⊆ Aut C5408+C5:4(C4.F5)400,123
C55(C4.F5) = C20.12F5φ: C4.F5/C4×D5C2 ⊆ Aut C5804C5:5(C4.F5)400,143

Non-split extensions G=N.Q with N=C5 and Q=C4.F5
extensionφ:Q→Aut NdρLabelID
C5.(C4.F5) = C100.C4φ: C4.F5/C20C4 ⊆ Aut C52004C5.(C4.F5)400,29

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