Extensions 1→N→G→Q→1 with N=C₂×C₁₃⋊C₆ and Q=C₂

Direct product G=N×Q with N=C₂×C₁₃⋊C₆ and Q=C₂

		d	ρ	Label	ID
C₂²×C₁₃⋊C₆		52		C2^2xC13:C6	312,49

Semidirect products G=N:Q with N=C₂×C₁₃⋊C₆ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×C₁₃⋊C₆)⋊₁C₂ = D₅₂⋊C₃	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₁₃⋊C₆	52	6+	(C2xC13:C6):1C2	312,10
(C₂×C₁₃⋊C₆)⋊₂C₂ = D₂₆⋊C₆	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₁₃⋊C₆	52	6	(C2xC13:C6):2C2	312,12

Non-split extensions G=N.Q with N=C₂×C₁₃⋊C₆ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×C₁₃⋊C₆).C₂ = C₂×F₁₃	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₁₃⋊C₆	26	12+	(C2xC13:C6).C2	312,45
(C₂×C₁₃⋊C₆).₂C₂ = C₄×C₁₃⋊C₆	φ: trivial image	52	6	(C2xC13:C6).2C2	312,9

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=C2×C13⋊C6 and Q=C2