Extensions 1→N→G→Q→1 with N=C5 and Q=C5⋊C16

Direct product G=N×Q with N=C5 and Q=C5⋊C16
dρLabelID
C5×C5⋊C16804C5xC5:C16400,56

Semidirect products G=N:Q with N=C5 and Q=C5⋊C16
extensionφ:Q→Aut NdρLabelID
C51(C5⋊C16) = C524C16φ: C5⋊C16/C20C4 ⊆ Aut C5400C5:1(C5:C16)400,58
C52(C5⋊C16) = C525C16φ: C5⋊C16/C20C4 ⊆ Aut C5804C5:2(C5:C16)400,59
C53(C5⋊C16) = C523C16φ: C5⋊C16/C52C8C2 ⊆ Aut C5804C5:3(C5:C16)400,57

Non-split extensions G=N.Q with N=C5 and Q=C5⋊C16
extensionφ:Q→Aut NdρLabelID
C5.(C5⋊C16) = C25⋊C16φ: C5⋊C16/C20C4 ⊆ Aut C54004C5.(C5:C16)400,3

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