C_n D_n S_n A_n ...

Extensions 1→N→G→Q→1 with N=C₃×2_-⁽¹⁺⁴⁾ and Q=C₂

Direct product G=N×Q with N=C₃×2_-⁽¹⁺⁴⁾ and Q=C₂

		d	ρ	Label	ID
C₆×2_-⁽¹⁺⁴⁾		96		C6xES-(2,2)	192,1535

Semidirect products G=N:Q with N=C₃×2_-⁽¹⁺⁴⁾ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×2_-⁽¹⁺⁴⁾)⋊₁C₂ = 2_-⁽¹⁺⁴⁾⋊₄S₃	φ: C₂/C₁ → C₂ ⊆ Out C₃×2_-⁽¹⁺⁴⁾	48	8+	(C3xES-(2,2)):1C2	192,804
(C₃×2_-⁽¹⁺⁴⁾)⋊₂C₂ = D₁₂.₃₄C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₃×2_-⁽¹⁺⁴⁾	48	8+	(C3xES-(2,2)):2C2	192,1396
(C₃×2_-⁽¹⁺⁴⁾)⋊₃C₂ = D₁₂.₃₅C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₃×2_-⁽¹⁺⁴⁾	96	8-	(C3xES-(2,2)):3C2	192,1397
(C₃×2_-⁽¹⁺⁴⁾)⋊₄C₂ = S₃×2_-⁽¹⁺⁴⁾	φ: C₂/C₁ → C₂ ⊆ Out C₃×2_-⁽¹⁺⁴⁾	48	8-	(C3xES-(2,2)):4C2	192,1526
(C₃×2_-⁽¹⁺⁴⁾)⋊₅C₂ = D₁₂.₃₉C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₃×2_-⁽¹⁺⁴⁾	48	8+	(C3xES-(2,2)):5C2	192,1527
(C₃×2_-⁽¹⁺⁴⁾)⋊₆C₂ = C₃×D₄.₈D₄	φ: C₂/C₁ → C₂ ⊆ Out C₃×2_-⁽¹⁺⁴⁾	48	4	(C3xES-(2,2)):6C2	192,887
(C₃×2_-⁽¹⁺⁴⁾)⋊₇C₂ = C₃×D₄○SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₃×2_-⁽¹⁺⁴⁾	48	4	(C3xES-(2,2)):7C2	192,1466
(C₃×2_-⁽¹⁺⁴⁾)⋊₈C₂ = C₃×Q₈○D₈	φ: C₂/C₁ → C₂ ⊆ Out C₃×2_-⁽¹⁺⁴⁾	96	4	(C3xES-(2,2)):8C2	192,1467
(C₃×2_-⁽¹⁺⁴⁾)⋊₉C₂ = C₃×C₂.C₂⁵	φ: trivial image	48	4	(C3xES-(2,2)):9C2	192,1536

Non-split extensions G=N.Q with N=C₃×2_-⁽¹⁺⁴⁾ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×2_-⁽¹⁺⁴⁾).₁C₂ = 2_-⁽¹⁺⁴⁾.₂S₃	φ: C₂/C₁ → C₂ ⊆ Out C₃×2_-⁽¹⁺⁴⁾	48	8-	(C3xES-(2,2)).1C2	192,805
(C₃×2_-⁽¹⁺⁴⁾).₂C₂ = C₃×D₄.₁₀D₄	φ: C₂/C₁ → C₂ ⊆ Out C₃×2_-⁽¹⁺⁴⁾	48	4	(C3xES-(2,2)).2C2	192,889

׿

×

⋊

ℤ

𝔽

○

≀