Extensions 1→N→G→Q→1 with N=C₄ and Q=C₅⋊₂C₁₆

Direct product G=N×Q with N=C₄ and Q=C₅⋊₂C₁₆

		d	ρ	Label	ID
C₄×C₅⋊₂C₁₆		320		C4xC5:2C16	320,18

Semidirect products G=N:Q with N=C₄ and Q=C₅⋊₂C₁₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊(C₅⋊₂C₁₆) = C₂₀⋊₃C₁₆	φ: C₅⋊₂C₁₆/C₄₀ → C₂ ⊆ Aut C₄	320		C4:(C5:2C16)	320,20

Non-split extensions G=N.Q with N=C₄ and Q=C₅⋊₂C₁₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.(C₅⋊₂C₁₆) = C₈₀.₉C₄	φ: C₅⋊₂C₁₆/C₄₀ → C₂ ⊆ Aut C₄	160	2	C4.(C5:2C16)	320,57
C₄.₂(C₅⋊₂C₁₆) = C₅⋊₂C₆₄	central extension (φ=1)	320	2	C4.2(C5:2C16)	320,1
C₄.₃(C₅⋊₂C₁₆) = C₂×C₅⋊₂C₃₂	central extension (φ=1)	320		C4.3(C5:2C16)	320,56

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Extensions 1→N→G→Q→1 with N=C4 and Q=C5⋊2C16