Extensions 1→N→G→Q→1 with N=D₈ and Q=C₄

Direct product G=N×Q with N=D₈ and Q=C₄

		d	ρ	Label	ID
C₄×D₈		32		C4xD8	64,118

Semidirect products G=N:Q with N=D₈ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
D₈⋊₁C₄ = C₂.D₁₆	φ: C₄/C₂ → C₂ ⊆ Out D₈	32		D8:1C4	64,38
D₈⋊₂C₄ = D₈⋊₂C₄	φ: C₄/C₂ → C₂ ⊆ Out D₈	16	4	D8:2C4	64,41
D₈⋊₃C₄ = D₈⋊C₄	φ: C₄/C₂ → C₂ ⊆ Out D₈	32		D8:3C4	64,123
D₈⋊₄C₄ = C₈.₂₆D₄	φ: C₄/C₂ → C₂ ⊆ Out D₈	16	4	D8:4C4	64,125
D₈⋊₅C₄ = C₈○D₈	φ: trivial image	16	2	D8:5C4	64,124

Non-split extensions G=N.Q with N=D₈ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
D₈.₁C₄ = D₈.C₄	φ: C₄/C₂ → C₂ ⊆ Out D₈	32	2	D8.1C4	64,40
D₈.₂C₄ = M₅(2)⋊C₂	φ: C₄/C₂ → C₂ ⊆ Out D₈	16	4+	D8.2C4	64,42

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁