Extensions 1→N→G→Q→1 with N=C₂²×C₁₃⋊C₄ and Q=C₂

Direct product G=N×Q with N=C₂²×C₁₃⋊C₄ and Q=C₂

		d	ρ	Label	ID
C₂³×C₁₃⋊C₄		104		C2^3xC13:C4	416,233

Semidirect products G=N:Q with N=C₂²×C₁₃⋊C₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²×C₁₃⋊C₄)⋊₁C₂ = D₄×C₁₃⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²×C₁₃⋊C₄	52	8+	(C2^2xC13:C4):1C2	416,206
(C₂²×C₁₃⋊C₄)⋊₂C₂ = C₂×D₁₃.D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²×C₁₃⋊C₄	104		(C2^2xC13:C4):2C2	416,211

Non-split extensions G=N.Q with N=C₂²×C₁₃⋊C₄ and Q=C₂

extension	φ:Q→Out N	d	Label	ID
(C₂²×C₁₃⋊C₄).₁C₂ = D₂₆.Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₂²×C₁₃⋊C₄	104	(C2^2xC13:C4).1C2	416,81
(C₂²×C₁₃⋊C₄).₂C₂ = C₂×C₅₂⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²×C₁₃⋊C₄	104	(C2^2xC13:C4).2C2	416,203
(C₂²×C₁₃⋊C₄).₃C₂ = C₂×C₄×C₁₃⋊C₄	φ: trivial image	104	(C2^2xC13:C4).3C2	416,202

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=C22×C13⋊C4 and Q=C2