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

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

		d	ρ	Label	ID
C₂×D₄⋊D₆		48		C2xD4:D6	192,1379

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

extension	φ:Q→Out N	d	ρ	Label	ID
D₄⋊D₆⋊₁C₂ = Q₈⋊₅D₁₂	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊D₆	24	4+	D4:D6:1C2	192,381
D₄⋊D₆⋊₂C₂ = D₄.₁₀D₁₂	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊D₆	48	4	D4:D6:2C2	192,386
D₄⋊D₆⋊₃C₂ = Q₈.₉D₁₂	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊D₆	48	4+	D4:D6:3C2	192,701
D₄⋊D₆⋊₄C₂ = M₄(2).D₆	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊D₆	48	8+	D4:D6:4C2	192,758
D₄⋊D₆⋊₅C₂ = 2₊¹⁺⁴⋊₆S₃	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊D₆	24	8+	D4:D6:5C2	192,800
D₄⋊D₆⋊₆C₂ = 2_-¹⁺⁴⋊₄S₃	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊D₆	48	8+	D4:D6:6C2	192,804
D₄⋊D₆⋊₇C₂ = D₈⋊₁₅D₆	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊D₆	48	4+	D4:D6:7C2	192,1328
D₄⋊D₆⋊₈C₂ = D₈⋊₁₁D₆	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊D₆	48	4	D4:D6:8C2	192,1329
D₄⋊D₆⋊₉C₂ = S₃×C₈⋊C₂²	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊D₆	24	8+	D4:D6:9C2	192,1331
D₄⋊D₆⋊₁₀C₂ = D₂₄⋊C₂²	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊D₆	48	8+	D4:D6:10C2	192,1336
D₄⋊D₆⋊₁₁C₂ = D₁₂.₃₂C₂³	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊D₆	48	8+	D4:D6:11C2	192,1394
D₄⋊D₆⋊₁₂C₂ = D₁₂.₃₄C₂³	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊D₆	48	8+	D4:D6:12C2	192,1396
D₄⋊D₆⋊₁₃C₂ = C₁₂.C₂⁴	φ: trivial image	48	4	D4:D6:13C2	192,1381

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

extension	φ:Q→Out N	d	ρ	Label	ID
D₄⋊D₆.₁C₂ = Q₈.₈D₁₂	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊D₆	48	4	D4:D6.1C2	192,700
D₄⋊D₆.₂C₂ = M₄(2).₁₅D₆	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊D₆	48	8+	D4:D6.2C2	192,762

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