Extensions 1→N→G→Q→1 with N=D₈.D₇ and Q=C₂

Direct product G=N×Q with N=D₈.D₇ and Q=C₂

		d	ρ	Label	ID
C₂×D₈.D₇		224		C2xD8.D7	448,682

Semidirect products G=N:Q with N=D₈.D₇ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₈.D₇⋊₁C₂ = D₈⋊D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₈.D₇	112	4	D8.D7:1C2	448,445
D₈.D₇⋊₂C₂ = D₁₆⋊₃D₇	φ: C₂/C₁ → C₂ ⊆ Out D₈.D₇	224	4-	D8.D7:2C2	448,446
D₈.D₇⋊₃C₂ = D₇×SD₃₂	φ: C₂/C₁ → C₂ ⊆ Out D₈.D₇	112	4	D8.D7:3C2	448,447
D₈.D₇⋊₄C₂ = SD₃₂⋊D₇	φ: C₂/C₁ → C₂ ⊆ Out D₈.D₇	224	4-	D8.D7:4C2	448,449
D₈.D₇⋊₅C₂ = D₈.D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₈.D₇	112	4	D8.D7:5C2	448,681
D₈.D₇⋊₆C₂ = C₅₆.₃₁C₂³	φ: C₂/C₁ → C₂ ⊆ Out D₈.D₇	224	4-	D8.D7:6C2	448,729
D₈.D₇⋊₇C₂ = C₅₆.₃₀C₂³	φ: trivial image	224	4	D8.D7:7C2	448,728

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁