Extensions 1→N→G→Q→1 with N=SD₃₂ and Q=C₄

Direct product G=N×Q with N=SD₃₂ and Q=C₄

		d	ρ	Label	ID
C₄×SD₃₂		64		C4xSD32	128,905

Semidirect products G=N:Q with N=SD₃₂ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
SD₃₂⋊₁C₄ = Q₃₂⋊C₄	φ: C₄/C₁ → C₄ ⊆ Out SD₃₂	32	8-	SD32:1C4	128,912
SD₃₂⋊₂C₄ = D₁₆⋊C₄	φ: C₄/C₁ → C₄ ⊆ Out SD₃₂	16	8+	SD32:2C4	128,913
SD₃₂⋊₃C₄ = SD₃₂⋊₃C₄	φ: C₄/C₂ → C₂ ⊆ Out SD₃₂	64		SD32:3C4	128,907
SD₃₂⋊₄C₄ = D₁₆⋊₅C₄	φ: C₄/C₂ → C₂ ⊆ Out SD₃₂	32	4	SD32:4C4	128,911
SD₃₂⋊₅C₄ = C₈○D₁₆	φ: trivial image	32	2	SD32:5C4	128,910

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁