Extensions 1→N→G→Q→1 with N=C₄ and Q=Q₁₆

Direct product G=N×Q with N=C₄ and Q=Q₁₆

		d	ρ	Label	ID
C₄×Q₁₆		64		C4xQ16	64,120

Semidirect products G=N:Q with N=C₄ and Q=Q₁₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊₁Q₁₆ = C₄⋊Q₁₆	φ: Q₁₆/C₈ → C₂ ⊆ Aut C₄	64		C4:1Q16	64,175
C₄⋊₂Q₁₆ = C₄⋊₂Q₁₆	φ: Q₁₆/Q₈ → C₂ ⊆ Aut C₄	64		C4:2Q16	64,143

Non-split extensions G=N.Q with N=C₄ and Q=Q₁₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.₁Q₁₆ = C₁₆⋊₃C₄	φ: Q₁₆/C₈ → C₂ ⊆ Aut C₄	64		C4.1Q16	64,47
C₄.₂Q₁₆ = C₁₆⋊₄C₄	φ: Q₁₆/C₈ → C₂ ⊆ Aut C₄	64		C4.2Q16	64,48
C₄.₃Q₁₆ = C₄.SD₁₆	φ: Q₁₆/C₈ → C₂ ⊆ Aut C₄	64		C4.3Q16	64,168
C₄.₄Q₁₆ = C₈⋊₂Q₈	φ: Q₁₆/C₈ → C₂ ⊆ Aut C₄	64		C4.4Q16	64,181
C₄.₅Q₁₆ = C₄.₁₀D₈	φ: Q₁₆/Q₈ → C₂ ⊆ Aut C₄	64		C4.5Q16	64,13
C₄.₆Q₁₆ = C₄.₆Q₁₆	φ: Q₁₆/Q₈ → C₂ ⊆ Aut C₄	64		C4.6Q16	64,14
C₄.₇Q₁₆ = C₄.Q₁₆	φ: Q₁₆/Q₈ → C₂ ⊆ Aut C₄	64		C4.7Q16	64,158
C₄.₈Q₁₆ = Q₈⋊C₈	central extension (φ=1)	64		C4.8Q16	64,7
C₄.₉Q₁₆ = C₈⋊₁C₈	central extension (φ=1)	64		C4.9Q16	64,16

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