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

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

		d	ρ	Label	ID
C₂×S₃×D₈		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 = S₃×D₁₆	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 = S₃×C₈⋊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 = C₂×C₃⋊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 = C₂×D₈⋊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 = C₂×D₈⋊₃S₃	φ: trivial image	96		D8:12D6	192,1315
D₈⋊₁₃D₆ = D₈⋊₁₃D₆	φ: trivial image	48	4	D8:13D6	192,1316
D₈⋊₁₄D₆ = S₃×C₄○D₈	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 = S₃×SD₃₂	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 = C₂×D₈.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

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁