Extensions 1→N→G→Q→1 with N=C₈×3_-¹⁺² and Q=C₂

Direct product G=N×Q with N=C₈×3_-¹⁺² and Q=C₂

		d	ρ	Label	ID
C₂×C₈×3_-¹⁺²		144		C2xC8xES-(3,1)	432,211

Semidirect products G=N:Q with N=C₈×3_-¹⁺² and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₈×3_-¹⁺²)⋊₁C₂ = D₇₂⋊C₃	φ: C₂/C₁ → C₂ ⊆ Out C₈×3_-¹⁺²	72	6+	(C8xES-(3,1)):1C2	432,123
(C₈×3_-¹⁺²)⋊₂C₂ = C₇₂⋊₂C₆	φ: C₂/C₁ → C₂ ⊆ Out C₈×3_-¹⁺²	72	6	(C8xES-(3,1)):2C2	432,122
(C₈×3_-¹⁺²)⋊₃C₂ = C₈×C₉⋊C₆	φ: C₂/C₁ → C₂ ⊆ Out C₈×3_-¹⁺²	72	6	(C8xES-(3,1)):3C2	432,120
(C₈×3_-¹⁺²)⋊₄C₂ = C₇₂⋊C₆	φ: C₂/C₁ → C₂ ⊆ Out C₈×3_-¹⁺²	72	6	(C8xES-(3,1)):4C2	432,121
(C₈×3_-¹⁺²)⋊₅C₂ = D₈×3_-¹⁺²	φ: C₂/C₁ → C₂ ⊆ Out C₈×3_-¹⁺²	72	6	(C8xES-(3,1)):5C2	432,217
(C₈×3_-¹⁺²)⋊₆C₂ = SD₁₆×3_-¹⁺²	φ: C₂/C₁ → C₂ ⊆ Out C₈×3_-¹⁺²	72	6	(C8xES-(3,1)):6C2	432,220
(C₈×3_-¹⁺²)⋊₇C₂ = M₄(2)×3_-¹⁺²	φ: C₂/C₁ → C₂ ⊆ Out C₈×3_-¹⁺²	72	6	(C8xES-(3,1)):7C2	432,214

Non-split extensions G=N.Q with N=C₈×3_-¹⁺² and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₈×3_-¹⁺²).₁C₂ = C₇₂.C₆	φ: C₂/C₁ → C₂ ⊆ Out C₈×3_-¹⁺²	144	6-	(C8xES-(3,1)).1C2	432,119
(C₈×3_-¹⁺²).₂C₂ = C₉⋊C₄₈	φ: C₂/C₁ → C₂ ⊆ Out C₈×3_-¹⁺²	144	6	(C8xES-(3,1)).2C2	432,31
(C₈×3_-¹⁺²).₃C₂ = Q₁₆×3_-¹⁺²	φ: C₂/C₁ → C₂ ⊆ Out C₈×3_-¹⁺²	144	6	(C8xES-(3,1)).3C2	432,223
(C₈×3_-¹⁺²).₄C₂ = C₁₆×3_-¹⁺²	φ: trivial image	144	3	(C8xES-(3,1)).4C2	432,36

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁