Extensions 1→N→G→Q→1 with N=C₃×Q₁₆ and Q=C₂

Direct product G=N×Q with N=C₃×Q₁₆ and Q=C₂

		d	ρ	Label	ID
C₆×Q₁₆		96		C6xQ16	96,181

Semidirect products G=N:Q with N=C₃×Q₁₆ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×Q₁₆)⋊₁C₂ = C₈.₆D₆	φ: C₂/C₁ → C₂ ⊆ Out C₃×Q₁₆	48	4+	(C3xQ16):1C2	96,35
(C₃×Q₁₆)⋊₂C₂ = S₃×Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₃×Q₁₆	48	4-	(C3xQ16):2C2	96,124
(C₃×Q₁₆)⋊₃C₂ = D₂₄⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out C₃×Q₁₆	48	4+	(C3xQ16):3C2	96,126
(C₃×Q₁₆)⋊₄C₂ = Q₁₆⋊S₃	φ: C₂/C₁ → C₂ ⊆ Out C₃×Q₁₆	48	4	(C3xQ16):4C2	96,125
(C₃×Q₁₆)⋊₅C₂ = C₃×SD₃₂	φ: C₂/C₁ → C₂ ⊆ Out C₃×Q₁₆	48	2	(C3xQ16):5C2	96,62
(C₃×Q₁₆)⋊₆C₂ = C₃×C₈.C₂²	φ: C₂/C₁ → C₂ ⊆ Out C₃×Q₁₆	48	4	(C3xQ16):6C2	96,184
(C₃×Q₁₆)⋊₇C₂ = C₃×C₄○D₈	φ: trivial image	48	2	(C3xQ16):7C2	96,182

Non-split extensions G=N.Q with N=C₃×Q₁₆ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×Q₁₆).₁C₂ = C₃⋊Q₃₂	φ: C₂/C₁ → C₂ ⊆ Out C₃×Q₁₆	96	4-	(C3xQ16).1C2	96,36
(C₃×Q₁₆).₂C₂ = C₃×Q₃₂	φ: C₂/C₁ → C₂ ⊆ Out C₃×Q₁₆	96	2	(C3xQ16).2C2	96,63

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