Extensions 1→N→G→Q→1 with N=C₁₄ and Q=SD₃₂

Direct product G=N×Q with N=C₁₄ and Q=SD₃₂

		d	ρ	Label	ID
C₁₄×SD₃₂		224		C14xSD32	448,914

Semidirect products G=N:Q with N=C₁₄ and Q=SD₃₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₄⋊₁SD₃₂ = C₂×C₁₁₂⋊C₂	φ: SD₃₂/C₁₆ → C₂ ⊆ Aut C₁₄	224		C14:1SD32	448,437
C₁₄⋊₂SD₃₂ = C₂×D₈.D₇	φ: SD₃₂/D₈ → C₂ ⊆ Aut C₁₄	224		C14:2SD32	448,682
C₁₄⋊₃SD₃₂ = C₂×C₇⋊SD₃₂	φ: SD₃₂/Q₁₆ → C₂ ⊆ Aut C₁₄	224		C14:3SD32	448,712

Non-split extensions G=N.Q with N=C₁₄ and Q=SD₃₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₄.₁SD₃₂ = C₅₆.₇₈D₄	φ: SD₃₂/C₁₆ → C₂ ⊆ Aut C₁₄	448		C14.1SD32	448,60
C₁₄.₂SD₃₂ = C₁₁₂⋊₆C₄	φ: SD₃₂/C₁₆ → C₂ ⊆ Aut C₁₄	448		C14.2SD32	448,62
C₁₄.₃SD₃₂ = C₂.D₁₁₂	φ: SD₃₂/C₁₆ → C₂ ⊆ Aut C₁₄	224		C14.3SD32	448,66
C₁₄.₄SD₃₂ = C₅₆.₆D₄	φ: SD₃₂/D₈ → C₂ ⊆ Aut C₁₄	448		C14.4SD32	448,49
C₁₄.₅SD₃₂ = C₁₄.SD₃₂	φ: SD₃₂/D₈ → C₂ ⊆ Aut C₁₄	224		C14.5SD32	448,119
C₁₄.₆SD₃₂ = C₈.₅Dic₁₄	φ: SD₃₂/Q₁₆ → C₂ ⊆ Aut C₁₄	448		C14.6SD32	448,47
C₁₄.₇SD₃₂ = C₁₄.D₁₆	φ: SD₃₂/Q₁₆ → C₂ ⊆ Aut C₁₄	224		C14.7SD32	448,48
C₁₄.₈SD₃₂ = C₁₄.Q₃₂	φ: SD₃₂/Q₁₆ → C₂ ⊆ Aut C₁₄	448		C14.8SD32	448,121
C₁₄.₉SD₃₂ = C₇×C₂.D₁₆	central extension (φ=1)	224		C14.9SD32	448,161
C₁₄.₁₀SD₃₂ = C₇×C₂.Q₃₂	central extension (φ=1)	448		C14.10SD32	448,162
C₁₄.₁₁SD₃₂ = C₇×C₁₆⋊₄C₄	central extension (φ=1)	448		C14.11SD32	448,171

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁