Extensions 1→N→G→Q→1 with N=D₂₆ and Q=C₆

Direct product G=N×Q with N=D₂₆ and Q=C₆

		d	ρ	Label	ID
C₂×C₆×D₁₃		156		C2xC6xD13	312,58

Semidirect products G=N:Q with N=D₂₆ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
D₂₆⋊₁C₆ = D₅₂⋊C₃	φ: C₆/C₁ → C₆ ⊆ Out D₂₆	52	6+	D26:1C6	312,10
D₂₆⋊₂C₆ = D₂₆⋊C₆	φ: C₆/C₁ → C₆ ⊆ Out D₂₆	52	6	D26:2C6	312,12
D₂₆⋊₃C₆ = C₂²×C₁₃⋊C₆	φ: C₆/C₂ → C₃ ⊆ Out D₂₆	52		D26:3C6	312,49
D₂₆⋊₄C₆ = C₃×D₅₂	φ: C₆/C₃ → C₂ ⊆ Out D₂₆	156	2	D26:4C6	312,29
D₂₆⋊₅C₆ = C₃×C₁₃⋊D₄	φ: C₆/C₃ → C₂ ⊆ Out D₂₆	156	2	D26:5C6	312,31

Non-split extensions G=N.Q with N=D₂₆ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
D₂₆.C₆ = C₂×F₁₃	φ: C₆/C₁ → C₆ ⊆ Out D₂₆	26	12+	D26.C6	312,45
D₂₆.₂C₆ = C₄×C₁₃⋊C₆	φ: C₆/C₂ → C₃ ⊆ Out D₂₆	52	6	D26.2C6	312,9
D₂₆.₃C₆ = C₆×C₁₃⋊C₄	φ: C₆/C₃ → C₂ ⊆ Out D₂₆	78	4	D26.3C6	312,52
D₂₆.₄C₆ = C₁₂×D₁₃	φ: trivial image	156	2	D26.4C6	312,28

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