Extensions 1→N→G→Q→1 with N=C5 and Q=C16⋊4C4

Direct product G=N×Q with N=C5 and Q=C16⋊4C4
dρLabelID
C5×C16⋊4C4320C5xC16:4C4320,172

Semidirect products G=N:Q with N=C5 and Q=C16⋊4C4
extensionφ:Q→Aut NdρLabelID
C5⋊(C16⋊4C4) = C80⋊3C4φ: C16⋊4C4/C16 → C4 ⊆ Aut C5804C5:(C16:4C4)320,188
C5⋊2(C16⋊4C4) = C10.SD32φ: C16⋊4C4/C2.D8 → C2 ⊆ Aut C5320C5:2(C16:4C4)320,48
C5⋊3(C16⋊4C4) = C80⋊14C4φ: C16⋊4C4/C2×C16 → C2 ⊆ Aut C5320C5:3(C16:4C4)320,63


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