Extensions 1→N→G→Q→1 with N=D₁₄ and Q=C₆

Direct product G=N×Q with N=D₁₄ and Q=C₆

		d	ρ	Label	ID
C₂×C₆×D₇		84		C2xC6xD7	168,54

Semidirect products G=N:Q with N=D₁₄ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₄⋊₁C₆ = C₄⋊F₇	φ: C₆/C₁ → C₆ ⊆ Out D₁₄	28	6+	D14:1C6	168,9
D₁₄⋊₂C₆ = Dic₇⋊C₆	φ: C₆/C₁ → C₆ ⊆ Out D₁₄	28	6	D14:2C6	168,11
D₁₄⋊₃C₆ = C₂²×F₇	φ: C₆/C₂ → C₃ ⊆ Out D₁₄	28		D14:3C6	168,47
D₁₄⋊₄C₆ = C₃×D₂₈	φ: C₆/C₃ → C₂ ⊆ Out D₁₄	84	2	D14:4C6	168,26
D₁₄⋊₅C₆ = C₃×C₇⋊D₄	φ: C₆/C₃ → C₂ ⊆ Out D₁₄	84	2	D14:5C6	168,28

Non-split extensions G=N.Q with N=D₁₄ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₄.C₆ = C₄×F₇	φ: C₆/C₂ → C₃ ⊆ Out D₁₄	28	6	D14.C6	168,8
D₁₄.₂C₆ = C₁₂×D₇	φ: trivial image	84	2	D14.2C6	168,25

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁