Extensions 1→N→G→Q→1 with N=D₄⋊₂D₉ and Q=C₂

Direct product G=N×Q with N=D₄⋊₂D₉ and Q=C₂

		d	ρ	Label	ID
C₂×D₄⋊₂D₉		144		C2xD4:2D9	288,357

Semidirect products G=N:Q with N=D₄⋊₂D₉ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₄⋊₂D₉⋊₁C₂ = D₈⋊D₉	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊₂D₉	72	4	D4:2D9:1C2	288,121
D₄⋊₂D₉⋊₂C₂ = D₈⋊₃D₉	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊₂D₉	144	4-	D4:2D9:2C2	288,122
D₄⋊₂D₉⋊₃C₂ = SD₁₆⋊₃D₉	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊₂D₉	144	4	D4:2D9:3C2	288,126
D₄⋊₂D₉⋊₄C₂ = D₄⋊₆D₁₈	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊₂D₉	72	4	D4:2D9:4C2	288,358
D₄⋊₂D₉⋊₅C₂ = D₄.₁₀D₁₈	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊₂D₉	144	4-	D4:2D9:5C2	288,364
D₄⋊₂D₉⋊₆C₂ = C₄○D₄×D₉	φ: trivial image	72	4	D4:2D9:6C2	288,362

Non-split extensions G=N.Q with N=D₄⋊₂D₉ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₄⋊₂D₉.C₂ = SD₁₆⋊D₉	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊₂D₉	144	4-	D4:2D9.C2	288,125

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁