Extensions 1→N→G→Q→1 with N=D₆ and Q=C₂³

Direct product G=N×Q with N=D₆ and Q=C₂³

		d	ρ	Label	ID
S₃×C₂⁴		48		S3xC2^4	96,230

Semidirect products G=N:Q with N=D₆ and Q=C₂³

extension	φ:Q→Out N	d	ρ	Label	ID
D₆⋊₁C₂³ = C₂²×D₁₂	φ: C₂³/C₂² → C₂ ⊆ Out D₆	48		D6:1C2^3	96,207
D₆⋊₂C₂³ = C₂×S₃×D₄	φ: C₂³/C₂² → C₂ ⊆ Out D₆	24		D6:2C2^3	96,209
D₆⋊₃C₂³ = C₂²×C₃⋊D₄	φ: C₂³/C₂² → C₂ ⊆ Out D₆	48		D6:3C2^3	96,219

Non-split extensions G=N.Q with N=D₆ and Q=C₂³

extension	φ:Q→Out N	d	ρ	Label	ID
D₆.₁C₂³ = C₂×C₄○D₁₂	φ: C₂³/C₂² → C₂ ⊆ Out D₆	48		D6.1C2^3	96,208
D₆.₂C₂³ = C₂×D₄⋊₂S₃	φ: C₂³/C₂² → C₂ ⊆ Out D₆	48		D6.2C2^3	96,210
D₆.₃C₂³ = D₄⋊₆D₆	φ: C₂³/C₂² → C₂ ⊆ Out D₆	24	4	D6.3C2^3	96,211
D₆.₄C₂³ = C₂×Q₈⋊₃S₃	φ: C₂³/C₂² → C₂ ⊆ Out D₆	48		D6.4C2^3	96,213
D₆.₅C₂³ = Q₈.₁₅D₆	φ: C₂³/C₂² → C₂ ⊆ Out D₆	48	4	D6.5C2^3	96,214
D₆.₆C₂³ = S₃×C₄○D₄	φ: C₂³/C₂² → C₂ ⊆ Out D₆	24	4	D6.6C2^3	96,215
D₆.₇C₂³ = D₄○D₁₂	φ: C₂³/C₂² → C₂ ⊆ Out D₆	24	4+	D6.7C2^3	96,216
D₆.₈C₂³ = Q₈○D₁₂	φ: C₂³/C₂² → C₂ ⊆ Out D₆	48	4-	D6.8C2^3	96,217
D₆.₉C₂³ = S₃×C₂²×C₄	φ: trivial image	48		D6.9C2^3	96,206
D₆.₁₀C₂³ = C₂×S₃×Q₈	φ: trivial image	48		D6.10C2^3	96,212

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