Extensions 1→N→G→Q→1 with N=C₃²⋊₂C₁₆ and Q=C₂

Direct product G=N×Q with N=C₃²⋊₂C₁₆ and Q=C₂

		d	ρ	Label	ID
C₂×C₃²⋊₂C₁₆		96		C2xC3^2:2C16	288,420

Semidirect products G=N:Q with N=C₃²⋊₂C₁₆ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₃²⋊₂C₁₆⋊₁C₂ = C₃²⋊D₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₃²⋊₂C₁₆	48	8+	C3^2:2C16:1C2	288,382
C₃²⋊₂C₁₆⋊₂C₂ = C₃²⋊SD₃₂	φ: C₂/C₁ → C₂ ⊆ Out C₃²⋊₂C₁₆	48	8+	C3^2:2C16:2C2	288,383
C₃²⋊₂C₁₆⋊₃C₂ = C₃²⋊₃M₅(2)	φ: C₂/C₁ → C₂ ⊆ Out C₃²⋊₂C₁₆	48	4	C3^2:2C16:3C2	288,413
C₃²⋊₂C₁₆⋊₄C₂ = C₆².₄C₈	φ: C₂/C₁ → C₂ ⊆ Out C₃²⋊₂C₁₆	48	4	C3^2:2C16:4C2	288,421
C₃²⋊₂C₁₆⋊₅C₂ = C₃⋊S₃⋊₃C₁₆	φ: trivial image	48	4	C3^2:2C16:5C2	288,412

Non-split extensions G=N.Q with N=C₃²⋊₂C₁₆ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₃²⋊₂C₁₆.₁C₂ = C₃²⋊C₃₂	φ: C₂/C₁ → C₂ ⊆ Out C₃²⋊₂C₁₆	96	8	C3^2:2C16.1C2	288,373
C₃²⋊₂C₁₆.₂C₂ = C₃²⋊Q₃₂	φ: C₂/C₁ → C₂ ⊆ Out C₃²⋊₂C₁₆	96	8-	C3^2:2C16.2C2	288,384

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