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

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

		d	ρ	Label	ID
C₄×C₅⋊C₁₆		320		C4xC5:C16	320,195

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊(C₅⋊C₁₆) = C₂₀⋊C₁₆	φ: C₅⋊C₁₆/C₅⋊₂C₈ → C₂ ⊆ Aut C₄	320		C4:(C5:C16)	320,196

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.(C₅⋊C₁₆) = C₅⋊M₆(2)	φ: C₅⋊C₁₆/C₅⋊₂C₈ → C₂ ⊆ Aut C₄	160	4	C4.(C5:C16)	320,215
C₄.₂(C₅⋊C₁₆) = C₅⋊C₆₄	central extension (φ=1)	320	4	C4.2(C5:C16)	320,3
C₄.₃(C₅⋊C₁₆) = C₂×C₅⋊C₃₂	central extension (φ=1)	320		C4.3(C5:C16)	320,214

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