Extensions 1→N→G→Q→1 with N=D₆ and Q=C₂⁴

Direct product G=N×Q with N=D₆ and Q=C₂⁴

		d	ρ	Label	ID
S₃×C₂⁵		96		S3xC2^5	192,1542

Semidirect products G=N:Q with N=D₆ and Q=C₂⁴

extension	φ:Q→Out N	d	ρ	Label	ID
D₆⋊₁C₂⁴ = C₂³×D₁₂	φ: C₂⁴/C₂³ → C₂ ⊆ Out D₆	96		D6:1C2^4	192,1512
D₆⋊₂C₂⁴ = C₂²×S₃×D₄	φ: C₂⁴/C₂³ → C₂ ⊆ Out D₆	48		D6:2C2^4	192,1514
D₆⋊₃C₂⁴ = C₂³×C₃⋊D₄	φ: C₂⁴/C₂³ → C₂ ⊆ Out D₆	96		D6:3C2^4	192,1529

Non-split extensions G=N.Q with N=D₆ and Q=C₂⁴

extension	φ:Q→Out N	d	ρ	Label	ID
D₆.₁C₂⁴ = C₂²×C₄○D₁₂	φ: C₂⁴/C₂³ → C₂ ⊆ Out D₆	96		D6.1C2^4	192,1513
D₆.₂C₂⁴ = C₂²×D₄⋊₂S₃	φ: C₂⁴/C₂³ → C₂ ⊆ Out D₆	96		D6.2C2^4	192,1515
D₆.₃C₂⁴ = C₂×D₄⋊₆D₆	φ: C₂⁴/C₂³ → C₂ ⊆ Out D₆	48		D6.3C2^4	192,1516
D₆.₄C₂⁴ = C₂²×Q₈⋊₃S₃	φ: C₂⁴/C₂³ → C₂ ⊆ Out D₆	96		D6.4C2^4	192,1518
D₆.₅C₂⁴ = C₂×Q₈.₁₅D₆	φ: C₂⁴/C₂³ → C₂ ⊆ Out D₆	96		D6.5C2^4	192,1519
D₆.₆C₂⁴ = C₂×D₄○D₁₂	φ: C₂⁴/C₂³ → C₂ ⊆ Out D₆	48		D6.6C2^4	192,1521
D₆.₇C₂⁴ = C₂×Q₈○D₁₂	φ: C₂⁴/C₂³ → C₂ ⊆ Out D₆	96		D6.7C2^4	192,1522
D₆.₈C₂⁴ = C₆.C₂⁵	φ: C₂⁴/C₂³ → C₂ ⊆ Out D₆	48	4	D6.8C2^4	192,1523
D₆.₉C₂⁴ = D₆.C₂⁴	φ: C₂⁴/C₂³ → C₂ ⊆ Out D₆	48	8-	D6.9C2^4	192,1525
D₆.₁₀C₂⁴ = D₁₂.₃₉C₂³	φ: C₂⁴/C₂³ → C₂ ⊆ Out D₆	48	8+	D6.10C2^4	192,1527
D₆.₁₁C₂⁴ = S₃×C₂³×C₄	φ: trivial image	96		D6.11C2^4	192,1511
D₆.₁₂C₂⁴ = C₂²×S₃×Q₈	φ: trivial image	96		D6.12C2^4	192,1517
D₆.₁₃C₂⁴ = C₂×S₃×C₄○D₄	φ: trivial image	48		D6.13C2^4	192,1520
D₆.₁₄C₂⁴ = S₃×2₊¹⁺⁴	φ: trivial image	24	8+	D6.14C2^4	192,1524
D₆.₁₅C₂⁴ = S₃×2_-¹⁺⁴	φ: trivial image	48	8-	D6.15C2^4	192,1526

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