Extensions 1→N→G→Q→1 with N=D₈ and Q=D₆

Direct product G=NxQ with N=D₈ and Q=D₆

		d	ρ	Label	ID
C₂xS₃xD₈		48		C2xS3xD8	192,1313

Semidirect products G=N:Q with N=D₈ and Q=D₆

extension	φ:Q→Out N	d	ρ	Label	ID
D₈:₁D₆ = S₃xD₁₆	φ: D₆/S₃ → C₂ ⊆ Out D₈	48	4+	D8:1D6	192,469
D₈:₂D₆ = D₈:D₆	φ: D₆/S₃ → C₂ ⊆ Out D₈	48	4	D8:2D6	192,470
D₈:₃D₆ = S₃xC₈:C₂²	φ: D₆/S₃ → C₂ ⊆ Out D₈	24	8+	D8:3D6	192,1331
D₈:₄D₆ = D₈:₄D₆	φ: D₆/S₃ → C₂ ⊆ Out D₈	48	8-	D8:4D6	192,1332
D₈:₅D₆ = D₈:₅D₆	φ: D₆/S₃ → C₂ ⊆ Out D₈	48	8+	D8:5D6	192,1333
D₈:₆D₆ = D₈:₆D₆	φ: D₆/S₃ → C₂ ⊆ Out D₈	48	8-	D8:6D6	192,1334
D₈:₇D₆ = C₂xC₃:D₁₆	φ: D₆/C₆ → C₂ ⊆ Out D₈	96		D8:7D6	192,705
D₈:₈D₆ = Q₁₆:D₆	φ: D₆/C₆ → C₂ ⊆ Out D₈	48	4+	D8:8D6	192,752
D₈:₉D₆ = C₂xD₈:S₃	φ: D₆/C₆ → C₂ ⊆ Out D₈	48		D8:9D6	192,1314
D₈:₁₀D₆ = SD₁₆:D₆	φ: D₆/C₆ → C₂ ⊆ Out D₈	48	4	D8:10D6	192,1327
D₈:₁₁D₆ = D₈:₁₁D₆	φ: D₆/C₆ → C₂ ⊆ Out D₈	48	4	D8:11D6	192,1329
D₈:₁₂D₆ = C₂xD₈:₃S₃	φ: trivial image	96		D8:12D6	192,1315
D₈:₁₃D₆ = D₈:₁₃D₆	φ: trivial image	48	4	D8:13D6	192,1316
D₈:₁₄D₆ = S₃xC₄oD₈	φ: trivial image	48	4	D8:14D6	192,1326
D₈:₁₅D₆ = D₈:₁₅D₆	φ: trivial image	48	4+	D8:15D6	192,1328

Non-split extensions G=N.Q with N=D₈ and Q=D₆

extension	φ:Q→Out N	d	ρ	Label	ID
D₈.₁D₆ = D₁₆:₃S₃	φ: D₆/S₃ → C₂ ⊆ Out D₈	96	4-	D8.1D6	192,471
D₈.₂D₆ = S₃xSD₃₂	φ: D₆/S₃ → C₂ ⊆ Out D₈	48	4	D8.2D6	192,472
D₈.₃D₆ = D₄₈:C₂	φ: D₆/S₃ → C₂ ⊆ Out D₈	48	4+	D8.3D6	192,473
D₈.₄D₆ = SD₃₂:S₃	φ: D₆/S₃ → C₂ ⊆ Out D₈	96	4-	D8.4D6	192,474
D₈.₅D₆ = D₆.₂D₈	φ: D₆/S₃ → C₂ ⊆ Out D₈	96	4	D8.5D6	192,475
D₈.₆D₆ = D₈.D₆	φ: D₆/C₆ → C₂ ⊆ Out D₈	48	4	D8.6D6	192,706
D₈.₇D₆ = C₂xD₈.S₃	φ: D₆/C₆ → C₂ ⊆ Out D₈	96		D8.7D6	192,707
D₈.₈D₆ = Q₁₆.D₆	φ: D₆/C₆ → C₂ ⊆ Out D₈	96	4	D8.8D6	192,753
D₈.₉D₆ = D₈.₉D₆	φ: D₆/C₆ → C₂ ⊆ Out D₈	96	4-	D8.9D6	192,754
D₈.₁₀D₆ = D₈.₁₀D₆	φ: trivial image	96	4-	D8.10D6	192,1330

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