Extensions 1→N→G→Q→1 with N=C₈⋊C₂² and Q=C₂

Direct product G=N×Q with N=C₈⋊C₂² and Q=C₂

		d	ρ	Label	ID
C₂×C₈⋊C₂²		16		C2xC8:C2^2	64,254

Semidirect products G=N:Q with N=C₈⋊C₂² and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₈⋊C₂²⋊₁C₂ = D₄⋊₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₈⋊C₂²	8	4+	C8:C2^2:1C2	64,134
C₈⋊C₂²⋊₂C₂ = D₄.₈D₄	φ: C₂/C₁ → C₂ ⊆ Out C₈⋊C₂²	16	4	C8:C2^2:2C2	64,135
C₈⋊C₂²⋊₃C₂ = D₄.₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₈⋊C₂²	16	4+	C8:C2^2:3C2	64,153
C₈⋊C₂²⋊₄C₂ = D₄○D₈	φ: C₂/C₁ → C₂ ⊆ Out C₈⋊C₂²	16	4+	C8:C2^2:4C2	64,257
C₈⋊C₂²⋊₅C₂ = D₄○SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₈⋊C₂²	16	4	C8:C2^2:5C2	64,258
C₈⋊C₂²⋊₆C₂ = D₈⋊C₂²	φ: trivial image	16	4	C8:C2^2:6C2	64,256

Non-split extensions G=N.Q with N=C₈⋊C₂² and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₈⋊C₂².C₂ = D₄.₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₈⋊C₂²	16	4	C8:C2^2.C2	64,152

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁