Extensions 1→N→G→Q→1 with N=D₁₄ and Q=C₈

Direct product G=N×Q with N=D₁₄ and Q=C₈

		d	ρ	Label	ID
D₇×C₂×C₈		112		D7xC2xC8	224,94

Semidirect products G=N:Q with N=D₁₄ and Q=C₈

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₄⋊C₈ = D₁₄⋊C₈	φ: C₈/C₄ → C₂ ⊆ Out D₁₄	112		D14:C8	224,26

Non-split extensions G=N.Q with N=D₁₄ and Q=C₈

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₄.C₈ = C₁₆⋊D₇	φ: C₈/C₄ → C₂ ⊆ Out D₁₄	112	2	D14.C8	224,4
D₁₄.₂C₈ = D₇×C₁₆	φ: trivial image	112	2	D14.2C8	224,3

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=D14 and Q=C8