Extensions 1→N→G→Q→1 with N=D₄×D₁₃ and Q=C₂

Direct product G=N×Q with N=D₄×D₁₃ and Q=C₂

		d	ρ	Label	ID
C₂×D₄×D₁₃		104		C2xD4xD13	416,216

Semidirect products G=N:Q with N=D₄×D₁₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(D₄×D₁₃)⋊₁C₂ = D₈×D₁₃	φ: C₂/C₁ → C₂ ⊆ Out D₄×D₁₃	104	4+	(D4xD13):1C2	416,131
(D₄×D₁₃)⋊₂C₂ = D₈⋊D₁₃	φ: C₂/C₁ → C₂ ⊆ Out D₄×D₁₃	104	4	(D4xD13):2C2	416,132
(D₄×D₁₃)⋊₃C₂ = Q₈⋊D₂₆	φ: C₂/C₁ → C₂ ⊆ Out D₄×D₁₃	104	4+	(D4xD13):3C2	416,135
(D₄×D₁₃)⋊₄C₂ = D₄⋊₆D₂₆	φ: C₂/C₁ → C₂ ⊆ Out D₄×D₁₃	104	4	(D4xD13):4C2	416,218
(D₄×D₁₃)⋊₅C₂ = D₄⋊₈D₂₆	φ: C₂/C₁ → C₂ ⊆ Out D₄×D₁₃	104	4+	(D4xD13):5C2	416,223
(D₄×D₁₃)⋊₆C₂ = C₄○D₄×D₁₃	φ: trivial image	104	4	(D4xD13):6C2	416,222

Non-split extensions G=N.Q with N=D₄×D₁₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(D₄×D₁₃).₁C₂ = SD₁₆×D₁₃	φ: C₂/C₁ → C₂ ⊆ Out D₄×D₁₃	104	4	(D4xD13).1C2	416,134
(D₄×D₁₃).₂C₂ = D₅₂⋊₁C₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×D₁₃	104	8+	(D4xD13).2C2	416,82
(D₄×D₁₃).₃C₂ = D₄×C₁₃⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×D₁₃	52	8+	(D4xD13).3C2	416,206

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁