Extensions 1→N→G→Q→1 with N=D₄⋊₂D₇ and Q=C₂

Direct product G=N×Q with N=D₄⋊₂D₇ and Q=C₂

		d	ρ	Label	ID
C₂×D₄⋊₂D₇		112		C2xD4:2D7	224,179

Semidirect products G=N:Q with N=D₄⋊₂D₇ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₄⋊₂D₇⋊₁C₂ = D₈⋊D₇	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊₂D₇	56	4	D4:2D7:1C2	224,106
D₄⋊₂D₇⋊₂C₂ = D₈⋊₃D₇	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊₂D₇	112	4-	D4:2D7:2C2	224,107
D₄⋊₂D₇⋊₃C₂ = SD₁₆⋊₃D₇	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊₂D₇	112	4	D4:2D7:3C2	224,111
D₄⋊₂D₇⋊₄C₂ = D₄⋊₆D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊₂D₇	56	4	D4:2D7:4C2	224,180
D₄⋊₂D₇⋊₅C₂ = D₄.₁₀D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊₂D₇	112	4-	D4:2D7:5C2	224,186
D₄⋊₂D₇⋊₆C₂ = D₇×C₄○D₄	φ: trivial image	56	4	D4:2D7:6C2	224,184

Non-split extensions G=N.Q with N=D₄⋊₂D₇ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₄⋊₂D₇.C₂ = SD₁₆⋊D₇	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊₂D₇	112	4-	D4:2D7.C2	224,110

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁