Extensions 1→N→G→Q→1 with N=C₁₄ and Q=Q₁₆

Direct product G=N×Q with N=C₁₄ and Q=Q₁₆

		d	ρ	Label	ID
C₁₄×Q₁₆		224		C14xQ16	224,169

Semidirect products G=N:Q with N=C₁₄ and Q=Q₁₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₄⋊₁Q₁₆ = C₂×Dic₂₈	φ: Q₁₆/C₈ → C₂ ⊆ Aut C₁₄	224		C14:1Q16	224,100
C₁₄⋊₂Q₁₆ = C₂×C₇⋊Q₁₆	φ: Q₁₆/Q₈ → C₂ ⊆ Aut C₁₄	224		C14:2Q16	224,138

Non-split extensions G=N.Q with N=C₁₄ and Q=Q₁₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₄.₁Q₁₆ = C₂₈.₄₄D₄	φ: Q₁₆/C₈ → C₂ ⊆ Aut C₁₄	224		C14.1Q16	224,22
C₁₄.₂Q₁₆ = C₅₆⋊₁C₄	φ: Q₁₆/C₈ → C₂ ⊆ Aut C₁₄	224		C14.2Q16	224,24
C₁₄.₃Q₁₆ = C₂₈.Q₈	φ: Q₁₆/Q₈ → C₂ ⊆ Aut C₁₄	224		C14.3Q16	224,13
C₁₄.₄Q₁₆ = C₁₄.Q₁₆	φ: Q₁₆/Q₈ → C₂ ⊆ Aut C₁₄	224		C14.4Q16	224,16
C₁₄.₅Q₁₆ = Q₈⋊Dic₇	φ: Q₁₆/Q₈ → C₂ ⊆ Aut C₁₄	224		C14.5Q16	224,41
C₁₄.₆Q₁₆ = C₇×Q₈⋊C₄	central extension (φ=1)	224		C14.6Q16	224,52
C₁₄.₇Q₁₆ = C₇×C₂.D₈	central extension (φ=1)	224		C14.7Q16	224,56

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