Extensions 1→N→G→Q→1 with N=D₄ and Q=C₁₃⋊C₄

Direct product G=N×Q with N=D₄ and Q=C₁₃⋊C₄

		d	ρ	Label	ID
D₄×C₁₃⋊C₄		52	8+	D4xC13:C4	416,206

Semidirect products G=N:Q with N=D₄ and Q=C₁₃⋊C₄

extension	φ:Q→Out N	d	ρ	Label	ID
D₄⋊₁(C₁₃⋊C₄) = D₅₂⋊₁C₄	φ: C₁₃⋊C₄/D₁₃ → C₂ ⊆ Out D₄	104	8+	D4:1(C13:C4)	416,82
D₄⋊₂(C₁₃⋊C₄) = Dic₂₆⋊C₄	φ: C₁₃⋊C₄/D₁₃ → C₂ ⊆ Out D₄	104	8-	D4:2(C13:C4)	416,83

Non-split extensions G=N.Q with N=D₄ and Q=C₁₃⋊C₄

extension	φ:Q→Out N	d	ρ	Label	ID
D₄.(C₁₃⋊C₄) = Dic₂₆.C₄	φ: trivial image	208	8-	D4.(C13:C4)	416,205

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=D4 and Q=C13⋊C4