Extensions 1→N→G→Q→1 with N=Q₈ and Q=D₆

Direct product G=N×Q with N=Q₈ and Q=D₆

		d	ρ	Label	ID
C₂×S₃×Q₈		48		C2xS3xQ8	96,212

Semidirect products G=N:Q with N=Q₈ and Q=D₆

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈⋊D₆ = C₂×GL₂(𝔽₃)	φ: D₆/C₂ → S₃ ⊆ Out Q₈	16		Q8:D6	96,189
Q₈⋊₂D₆ = S₃×SD₁₆	φ: D₆/S₃ → C₂ ⊆ Out Q₈	24	4	Q8:2D6	96,120
Q₈⋊₃D₆ = Q₈⋊₃D₆	φ: D₆/S₃ → C₂ ⊆ Out Q₈	24	4+	Q8:3D6	96,121
Q₈⋊₄D₆ = C₂×Q₈⋊₂S₃	φ: D₆/C₆ → C₂ ⊆ Out Q₈	48		Q8:4D6	96,148
Q₈⋊₅D₆ = D₄⋊D₆	φ: D₆/C₆ → C₂ ⊆ Out Q₈	24	4+	Q8:5D6	96,156
Q₈⋊₆D₆ = C₂×Q₈⋊₃S₃	φ: trivial image	48		Q8:6D6	96,213
Q₈⋊₇D₆ = S₃×C₄○D₄	φ: trivial image	24	4	Q8:7D6	96,215
Q₈⋊₈D₆ = D₄○D₁₂	φ: trivial image	24	4+	Q8:8D6	96,216

Non-split extensions G=N.Q with N=Q₈ and Q=D₆

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈.₁D₆ = C₂×CSU₂(𝔽₃)	φ: D₆/C₂ → S₃ ⊆ Out Q₈	32		Q8.1D6	96,188
Q₈.₂D₆ = Q₈.D₆	φ: D₆/C₂ → S₃ ⊆ Out Q₈	16	4-	Q8.2D6	96,190
Q₈.₃D₆ = C₄.S₄	φ: D₆/C₂ → S₃ ⊆ Out Q₈	32	4-	Q8.3D6	96,191
Q₈.₄D₆ = C₄.₆S₄	φ: D₆/C₂ → S₃ ⊆ Out Q₈	16	2	Q8.4D6	96,192
Q₈.₅D₆ = C₄.₃S₄	φ: D₆/C₂ → S₃ ⊆ Out Q₈	16	4+	Q8.5D6	96,193
Q₈.₆D₆ = D₄.D₆	φ: D₆/S₃ → C₂ ⊆ Out Q₈	48	4-	Q8.6D6	96,122
Q₈.₇D₆ = Q₈.₇D₆	φ: D₆/S₃ → C₂ ⊆ Out Q₈	48	4	Q8.7D6	96,123
Q₈.₈D₆ = S₃×Q₁₆	φ: D₆/S₃ → C₂ ⊆ Out Q₈	48	4-	Q8.8D6	96,124
Q₈.₉D₆ = Q₁₆⋊S₃	φ: D₆/S₃ → C₂ ⊆ Out Q₈	48	4	Q8.9D6	96,125
Q₈.₁₀D₆ = D₂₄⋊C₂	φ: D₆/S₃ → C₂ ⊆ Out Q₈	48	4+	Q8.10D6	96,126
Q₈.₁₁D₆ = Q₈.₁₁D₆	φ: D₆/C₆ → C₂ ⊆ Out Q₈	48	4	Q8.11D6	96,149
Q₈.₁₂D₆ = C₂×C₃⋊Q₁₆	φ: D₆/C₆ → C₂ ⊆ Out Q₈	96		Q8.12D6	96,150
Q₈.₁₃D₆ = Q₈.₁₃D₆	φ: D₆/C₆ → C₂ ⊆ Out Q₈	48	4	Q8.13D6	96,157
Q₈.₁₄D₆ = Q₈.₁₄D₆	φ: D₆/C₆ → C₂ ⊆ Out Q₈	48	4-	Q8.14D6	96,158
Q₈.₁₅D₆ = Q₈.₁₅D₆	φ: trivial image	48	4	Q8.15D6	96,214
Q₈.₁₆D₆ = Q₈○D₁₂	φ: trivial image	48	4-	Q8.16D6	96,217

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