Extensions 1→N→G→Q→1 with N=D₈ and Q=C₂²

Direct product G=N×Q with N=D₈ and Q=C₂²

		d	ρ	Label	ID
C₂²×D₈		32		C2^2xD8	64,250

Semidirect products G=N:Q with N=D₈ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
D₈⋊₁C₂² = C₂×D₁₆	φ: C₂²/C₂ → C₂ ⊆ Out D₈	32		D8:1C2^2	64,186
D₈⋊₂C₂² = C₁₆⋊C₂²	φ: C₂²/C₂ → C₂ ⊆ Out D₈	16	4+	D8:2C2^2	64,190
D₈⋊₃C₂² = C₂×C₈⋊C₂²	φ: C₂²/C₂ → C₂ ⊆ Out D₈	16		D8:3C2^2	64,254
D₈⋊₄C₂² = D₈⋊C₂²	φ: C₂²/C₂ → C₂ ⊆ Out D₈	16	4	D8:4C2^2	64,256
D₈⋊₅C₂² = D₄○SD₁₆	φ: C₂²/C₂ → C₂ ⊆ Out D₈	16	4	D8:5C2^2	64,258
D₈⋊₆C₂² = C₂×C₄○D₈	φ: trivial image	32		D8:6C2^2	64,253
D₈⋊₇C₂² = D₄○D₈	φ: trivial image	16	4+	D8:7C2^2	64,257

Non-split extensions G=N.Q with N=D₈ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
D₈.₁C₂² = C₂×SD₃₂	φ: C₂²/C₂ → C₂ ⊆ Out D₈	32		D8.1C2^2	64,187
D₈.₂C₂² = C₄○D₁₆	φ: C₂²/C₂ → C₂ ⊆ Out D₈	32	2	D8.2C2^2	64,189
D₈.₃C₂² = Q₃₂⋊C₂	φ: C₂²/C₂ → C₂ ⊆ Out D₈	32	4-	D8.3C2^2	64,191
D₈.₄C₂² = Q₈○D₈	φ: trivial image	32	4-	D8.4C2^2	64,259

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁