Extensions 1→N→G→Q→1 with N=C₇⋊C₃₂ and Q=C₂

Direct product G=N×Q with N=C₇⋊C₃₂ and Q=C₂

		d	ρ	Label	ID
C₂×C₇⋊C₃₂		448		C2xC7:C32	448,55

Semidirect products G=N:Q with N=C₇⋊C₃₂ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₇⋊C₃₂⋊₁C₂ = C₇⋊D₃₂	φ: C₂/C₁ → C₂ ⊆ Out C₇⋊C₃₂	224	4+	C7:C32:1C2	448,76
C₇⋊C₃₂⋊₂C₂ = D₁₆.D₇	φ: C₂/C₁ → C₂ ⊆ Out C₇⋊C₃₂	224	4-	C7:C32:2C2	448,77
C₇⋊C₃₂⋊₃C₂ = C₇⋊SD₆₄	φ: C₂/C₁ → C₂ ⊆ Out C₇⋊C₃₂	224	4+	C7:C32:3C2	448,78
C₇⋊C₃₂⋊₄C₂ = C₃₂⋊D₇	φ: C₂/C₁ → C₂ ⊆ Out C₇⋊C₃₂	224	2	C7:C32:4C2	448,4
C₇⋊C₃₂⋊₅C₂ = C₇⋊M₆(2)	φ: C₂/C₁ → C₂ ⊆ Out C₇⋊C₃₂	224	2	C7:C32:5C2	448,56
C₇⋊C₃₂⋊₆C₂ = D₇×C₃₂	φ: trivial image	224	2	C7:C32:6C2	448,3

Non-split extensions G=N.Q with N=C₇⋊C₃₂ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₇⋊C₃₂.C₂ = C₇⋊Q₆₄	φ: C₂/C₁ → C₂ ⊆ Out C₇⋊C₃₂	448	4-	C7:C32.C2	448,79

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁