Extensions 1→N→G→Q→1 with N=D₁₆ and Q=D₇

Direct product G=N×Q with N=D₁₆ and Q=D₇

		d	ρ	Label	ID
D₇×D₁₆		112	4+	D7xD16	448,444

Semidirect products G=N:Q with N=D₁₆ and Q=D₇

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₆⋊₁D₇ = C₇⋊D₃₂	φ: D₇/C₇ → C₂ ⊆ Out D₁₆	224	4+	D16:1D7	448,76
D₁₆⋊₂D₇ = D₈⋊D₁₄	φ: D₇/C₇ → C₂ ⊆ Out D₁₆	112	4	D16:2D7	448,445
D₁₆⋊₃D₇ = D₁₆⋊₃D₇	φ: trivial image	224	4-	D16:3D7	448,446

Non-split extensions G=N.Q with N=D₁₆ and Q=D₇

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₆.D₇ = D₁₆.D₇	φ: D₇/C₇ → C₂ ⊆ Out D₁₆	224	4-	D16.D7	448,77

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=D16 and Q=D7