Extensions 1→N→G→Q→1 with N=C₂×Q₈⋊C₉ and Q=C₂

Direct product G=N×Q with N=C₂×Q₈⋊C₉ and Q=C₂

		d	ρ	Label	ID
C₂²×Q₈⋊C₉		288		C2^2xQ8:C9	288,345

Semidirect products G=N:Q with N=C₂×Q₈⋊C₉ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×Q₈⋊C₉)⋊₁C₂ = 2_-¹⁺⁴⋊C₉	φ: C₂/C₁ → C₂ ⊆ Out C₂×Q₈⋊C₉	144	4	(C2xQ8:C9):1C2	288,349
(C₂×Q₈⋊C₉)⋊₂C₂ = C₂×Q₈⋊D₉	φ: C₂/C₁ → C₂ ⊆ Out C₂×Q₈⋊C₉	144		(C2xQ8:C9):2C2	288,336
(C₂×Q₈⋊C₉)⋊₃C₂ = Q₈.D₁₈	φ: C₂/C₁ → C₂ ⊆ Out C₂×Q₈⋊C₉	144	4	(C2xQ8:C9):3C2	288,337
(C₂×Q₈⋊C₉)⋊₄C₂ = C₂×Q₈.C₁₈	φ: trivial image	144		(C2xQ8:C9):4C2	288,347

Non-split extensions G=N.Q with N=C₂×Q₈⋊C₉ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×Q₈⋊C₉).₁C₂ = Q₈⋊Dic₉	φ: C₂/C₁ → C₂ ⊆ Out C₂×Q₈⋊C₉	288		(C2xQ8:C9).1C2	288,69
(C₂×Q₈⋊C₉).₂C₂ = C₂×Q₈.D₉	φ: C₂/C₁ → C₂ ⊆ Out C₂×Q₈⋊C₉	288		(C2xQ8:C9).2C2	288,335
(C₂×Q₈⋊C₉).₃C₂ = C₄×Q₈⋊C₉	φ: trivial image	288		(C2xQ8:C9).3C2	288,72

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁