Extensions 1→N→G→Q→1 with N=C₇×Q₃₂ and Q=C₂

Direct product G=N×Q with N=C₇×Q₃₂ and Q=C₂

		d	ρ	Label	ID
C₁₄×Q₃₂		448		C14xQ32	448,915

Semidirect products G=N:Q with N=C₇×Q₃₂ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₇×Q₃₂)⋊₁C₂ = C₇⋊SD₆₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×Q₃₂	224	4+	(C7xQ32):1C2	448,78
(C₇×Q₃₂)⋊₂C₂ = D₇×Q₃₂	φ: C₂/C₁ → C₂ ⊆ Out C₇×Q₃₂	224	4-	(C7xQ32):2C2	448,451
(C₇×Q₃₂)⋊₃C₂ = Q₃₂⋊₃D₇	φ: C₂/C₁ → C₂ ⊆ Out C₇×Q₃₂	224	4+	(C7xQ32):3C2	448,453
(C₇×Q₃₂)⋊₄C₂ = Q₃₂⋊D₇	φ: C₂/C₁ → C₂ ⊆ Out C₇×Q₃₂	224	4	(C7xQ32):4C2	448,452
(C₇×Q₃₂)⋊₅C₂ = C₇×SD₆₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×Q₃₂	224	2	(C7xQ32):5C2	448,176
(C₇×Q₃₂)⋊₆C₂ = C₇×Q₃₂⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out C₇×Q₃₂	224	4	(C7xQ32):6C2	448,918
(C₇×Q₃₂)⋊₇C₂ = C₇×C₄○D₁₆	φ: trivial image	224	2	(C7xQ32):7C2	448,916

Non-split extensions G=N.Q with N=C₇×Q₃₂ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₇×Q₃₂).₁C₂ = C₇⋊Q₆₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×Q₃₂	448	4-	(C7xQ32).1C2	448,79
(C₇×Q₃₂).₂C₂ = C₇×Q₆₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×Q₃₂	448	2	(C7xQ32).2C2	448,177

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁