Extensions 1→N→G→Q→1 with N=D₄⋊₆D₆ and Q=C₂

Direct product G=N×Q with N=D₄⋊₆D₆ and Q=C₂

		d	ρ	Label	ID
C₂×D₄⋊₆D₆		48		C2xD4:6D6	192,1516

Semidirect products G=N:Q with N=D₄⋊₆D₆ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₄⋊₆D₆⋊₁C₂ = C₂³⋊D₁₂	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊₆D₆	24	8+	D4:6D6:1C2	192,300
D₄⋊₆D₆⋊₂C₂ = D₁₂⋊₁D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊₆D₆	24	8+	D4:6D6:2C2	192,306
D₄⋊₆D₆⋊₃C₂ = C₂⁴⋊₆D₆	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊₆D₆	24	4	D4:6D6:3C2	192,591
D₄⋊₆D₆⋊₄C₂ = C₄²⋊₈D₆	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊₆D₆	24	4	D4:6D6:4C2	192,636
D₄⋊₆D₆⋊₅C₂ = D₈⋊₁₃D₆	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊₆D₆	48	4	D4:6D6:5C2	192,1316
D₄⋊₆D₆⋊₆C₂ = SD₁₆⋊₁₃D₆	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊₆D₆	48	4	D4:6D6:6C2	192,1321
D₄⋊₆D₆⋊₇C₂ = D₈⋊₅D₆	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊₆D₆	48	8+	D4:6D6:7C2	192,1333
D₄⋊₆D₆⋊₈C₂ = D₈⋊₆D₆	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊₆D₆	48	8-	D4:6D6:8C2	192,1334
D₄⋊₆D₆⋊₉C₂ = S₃×2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊₆D₆	24	8+	D4:6D6:9C2	192,1524
D₄⋊₆D₆⋊₁₀C₂ = D₆.C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊₆D₆	48	8-	D4:6D6:10C2	192,1525
D₄⋊₆D₆⋊₁₁C₂ = C₆.C₂⁵	φ: trivial image	48	4	D4:6D6:11C2	192,1523

Non-split extensions G=N.Q with N=D₄⋊₆D₆ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₄⋊₆D₆.₁C₂ = C₂³.₅D₁₂	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊₆D₆	48	8-	D4:6D6.1C2	192,301
D₄⋊₆D₆.₂C₂ = M₄(2)⋊D₆	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊₆D₆	48	8-	D4:6D6.2C2	192,305
D₄⋊₆D₆.₃C₂ = C₂²⋊C₄⋊D₆	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊₆D₆	48	4	D4:6D6.3C2	192,612
D₄⋊₆D₆.₄C₂ = C₄²⋊₇D₆	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊₆D₆	48	4	D4:6D6.4C2	192,620

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