Extensions 1→N→G→Q→1 with N=Q₈ and Q=Dic₇

Direct product G=N×Q with N=Q₈ and Q=Dic₇

		d	ρ	Label	ID
Q₈×Dic₇		224		Q8xDic7	224,140

Semidirect products G=N:Q with N=Q₈ and Q=Dic₇

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈⋊₁Dic₇ = Q₈⋊Dic₇	φ: Dic₇/C₁₄ → C₂ ⊆ Out Q₈	224		Q8:1Dic7	224,41
Q₈⋊₂Dic₇ = D₄⋊₂Dic₇	φ: Dic₇/C₁₄ → C₂ ⊆ Out Q₈	56	4	Q8:2Dic7	224,43

Non-split extensions G=N.Q with N=Q₈ and Q=Dic₇

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈.Dic₇ = Q₈.Dic₇	φ: trivial image	112	4	Q8.Dic7	224,143

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=Q8 and Q=Dic7