Extensions 1→N→G→Q→1 with N=C₃²⋊₂Q₁₆ and Q=C₂

Direct product G=N×Q with N=C₃²⋊₂Q₁₆ and Q=C₂

		d	ρ	Label	ID
C₂×C₃²⋊₂Q₁₆		96		C2xC3^2:2Q16	288,482

Semidirect products G=N:Q with N=C₃²⋊₂Q₁₆ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₃²⋊₂Q₁₆⋊₁C₂ = C₃²⋊SD₃₂	φ: C₂/C₁ → C₂ ⊆ Out C₃²⋊₂Q₁₆	48	8+	C3^2:2Q16:1C2	288,383
C₃²⋊₂Q₁₆⋊₂C₂ = C₂₄.₂₃D₆	φ: C₂/C₁ → C₂ ⊆ Out C₃²⋊₂Q₁₆	48	4	C3^2:2Q16:2C2	288,450
C₃²⋊₂Q₁₆⋊₃C₂ = D₁₂.₂D₆	φ: C₂/C₁ → C₂ ⊆ Out C₃²⋊₂Q₁₆	48	4	C3^2:2Q16:3C2	288,457
C₃²⋊₂Q₁₆⋊₄C₂ = D₁₂.₄D₆	φ: C₂/C₁ → C₂ ⊆ Out C₃²⋊₂Q₁₆	48	4	C3^2:2Q16:4C2	288,459
C₃²⋊₂Q₁₆⋊₅C₂ = D₁₂.₃₂D₆	φ: C₂/C₁ → C₂ ⊆ Out C₃²⋊₂Q₁₆	48	4	C3^2:2Q16:5C2	288,475
C₃²⋊₂Q₁₆⋊₆C₂ = Dic₆.₁₉D₆	φ: C₂/C₁ → C₂ ⊆ Out C₃²⋊₂Q₁₆	48	8-	C3^2:2Q16:6C2	288,577
C₃²⋊₂Q₁₆⋊₇C₂ = Dic₆.₂₀D₆	φ: C₂/C₁ → C₂ ⊆ Out C₃²⋊₂Q₁₆	48	8+	C3^2:2Q16:7C2	288,583
C₃²⋊₂Q₁₆⋊₈C₂ = S₃×C₃⋊Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₃²⋊₂Q₁₆	96	8-	C3^2:2Q16:8C2	288,590
C₃²⋊₂Q₁₆⋊₉C₂ = Dic₆.₂₂D₆	φ: C₂/C₁ → C₂ ⊆ Out C₃²⋊₂Q₁₆	48	8+	C3^2:2Q16:9C2	288,596
C₃²⋊₂Q₁₆⋊₁₀C₂ = D₁₂.₃₀D₆	φ: trivial image	48	4	C3^2:2Q16:10C2	288,470

Non-split extensions G=N.Q with N=C₃²⋊₂Q₁₆ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₃²⋊₂Q₁₆.C₂ = C₃²⋊Q₃₂	φ: C₂/C₁ → C₂ ⊆ Out C₃²⋊₂Q₁₆	96	8-	C3^2:2Q16.C2	288,384

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