Extensions 1→N→G→Q→1 with N=D₆ and Q=C₂₆

Direct product G=N×Q with N=D₆ and Q=C₂₆

		d	ρ	Label	ID
S₃×C₂×C₂₆		156		S3xC2xC26	312,59

Semidirect products G=N:Q with N=D₆ and Q=C₂₆

extension	φ:Q→Out N	d	ρ	Label	ID
D₆⋊₁C₂₆ = C₁₃×D₁₂	φ: C₂₆/C₁₃ → C₂ ⊆ Out D₆	156	2	D6:1C26	312,34
D₆⋊₂C₂₆ = C₁₃×C₃⋊D₄	φ: C₂₆/C₁₃ → C₂ ⊆ Out D₆	156	2	D6:2C26	312,36

Non-split extensions G=N.Q with N=D₆ and Q=C₂₆

extension	φ:Q→Out N	d	ρ	Label	ID
D₆.C₂₆ = S₃×C₅₂	φ: trivial image	156	2	D6.C26	312,33

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=D6 and Q=C26