Extensions 1→N→G→Q→1 with N=C₃xC₃²:₂Q₈ and Q=C₂

Direct product G=NxQ with N=C₃xC₃²:₂Q₈ and Q=C₂

		d	ρ	Label	ID
C₆xC₃²:₂Q₈		48		C6xC3^2:2Q8	432,657

Semidirect products G=N:Q with N=C₃xC₃²:₂Q₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃xC₃²:₂Q₈):₁C₂ = C₃³:₆SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₃xC₃²:₂Q₈	24	4	(C3xC3^2:2Q8):1C2	432,583
(C₃xC₃²:₂Q₈):₂C₂ = S₃xC₃²:₂Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₃xC₃²:₂Q₈	48	8-	(C3xC3^2:2Q8):2C2	432,603
(C₃xC₃²:₂Q₈):₃C₂ = C₃³:₅(C₂xQ₈)	φ: C₂/C₁ → C₂ ⊆ Out C₃xC₃²:₂Q₈	48	8-	(C3xC3^2:2Q8):3C2	432,604
(C₃xC₃²:₂Q₈):₄C₂ = C₃³:₆(C₂xQ₈)	φ: C₂/C₁ → C₂ ⊆ Out C₃xC₃²:₂Q₈	24	8+	(C3xC3^2:2Q8):4C2	432,605
(C₃xC₃²:₂Q₈):₅C₂ = D₆.₃S₃²	φ: C₂/C₁ → C₂ ⊆ Out C₃xC₃²:₂Q₈	24	8+	(C3xC3^2:2Q8):5C2	432,609
(C₃xC₃²:₂Q₈):₆C₂ = D₆.₆S₃²	φ: C₂/C₁ → C₂ ⊆ Out C₃xC₃²:₂Q₈	48	8-	(C3xC3^2:2Q8):6C2	432,611
(C₃xC₃²:₂Q₈):₇C₂ = Dic₃.S₃²	φ: C₂/C₁ → C₂ ⊆ Out C₃xC₃²:₂Q₈	24	8+	(C3xC3^2:2Q8):7C2	432,612
(C₃xC₃²:₂Q₈):₈C₂ = C₃xS₃xDic₆	φ: C₂/C₁ → C₂ ⊆ Out C₃xC₃²:₂Q₈	48	4	(C3xC3^2:2Q8):8C2	432,642
(C₃xC₃²:₂Q₈):₉C₂ = C₃xDic₃.D₆	φ: C₂/C₁ → C₂ ⊆ Out C₃xC₃²:₂Q₈	48	4	(C3xC3^2:2Q8):9C2	432,645
(C₃xC₃²:₂Q₈):₁₀C₂ = C₃xD₆.₃D₆	φ: C₂/C₁ → C₂ ⊆ Out C₃xC₃²:₂Q₈	24	4	(C3xC3^2:2Q8):10C2	432,652
(C₃xC₃²:₂Q₈):₁₁C₂ = C₃xD₆.₄D₆	φ: C₂/C₁ → C₂ ⊆ Out C₃xC₃²:₂Q₈	24	4	(C3xC3^2:2Q8):11C2	432,653
(C₃xC₃²:₂Q₈):₁₂C₂ = C₃xC₃²:₂SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₃xC₃²:₂Q₈	24	4	(C3xC3^2:2Q8):12C2	432,577
(C₃xC₃²:₂Q₈):₁₃C₂ = C₃xD₆.D₆	φ: trivial image	48	4	(C3xC3^2:2Q8):13C2	432,646

Non-split extensions G=N.Q with N=C₃xC₃²:₂Q₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃xC₃²:₂Q₈).₁C₂ = C₃³:Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₃xC₃²:₂Q₈	48	4	(C3xC3^2:2Q8).1C2	432,585
(C₃xC₃²:₂Q₈).₂C₂ = C₃xC₃²:Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₃xC₃²:₂Q₈	48	4	(C3xC3^2:2Q8).2C2	432,578

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