Extensions 1→N→G→Q→1 with N=D₁₂⋊₆C₂² and Q=C₂

Direct product G=N×Q with N=D₁₂⋊₆C₂² and Q=C₂

		d	ρ	Label	ID
C₂×D₁₂⋊₆C₂²		48		C2xD12:6C2^2	192,1352

Semidirect products G=N:Q with N=D₁₂⋊₆C₂² and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₂⋊₆C₂²⋊₁C₂ = D₁₂.₃D₄	φ: C₂/C₁ → C₂ ⊆ Out D₁₂⋊₆C₂²	48	8+	D12:6C2^2:1C2	192,308
D₁₂⋊₆C₂²⋊₂C₂ = D₁₂.₁₄D₄	φ: C₂/C₁ → C₂ ⊆ Out D₁₂⋊₆C₂²	48	4	D12:6C2^2:2C2	192,621
D₁₂⋊₆C₂²⋊₃C₂ = C₄²⋊₈D₆	φ: C₂/C₁ → C₂ ⊆ Out D₁₂⋊₆C₂²	24	4	D12:6C2^2:3C2	192,636
D₁₂⋊₆C₂²⋊₄C₂ = C₂₄.₂₃D₄	φ: C₂/C₁ → C₂ ⊆ Out D₁₂⋊₆C₂²	48	4	D12:6C2^2:4C2	192,719
D₁₂⋊₆C₂²⋊₅C₂ = D₁₂⋊₁₈D₄	φ: C₂/C₁ → C₂ ⊆ Out D₁₂⋊₆C₂²	24	8+	D12:6C2^2:5C2	192,757
D₁₂⋊₆C₂²⋊₆C₂ = D₁₂.₃₈D₄	φ: C₂/C₁ → C₂ ⊆ Out D₁₂⋊₆C₂²	48	8-	D12:6C2^2:6C2	192,760
D₁₂⋊₆C₂²⋊₇C₂ = D₈⋊₁₃D₆	φ: C₂/C₁ → C₂ ⊆ Out D₁₂⋊₆C₂²	48	4	D12:6C2^2:7C2	192,1316
D₁₂⋊₆C₂²⋊₈C₂ = SD₁₆⋊₁₃D₆	φ: C₂/C₁ → C₂ ⊆ Out D₁₂⋊₆C₂²	48	4	D12:6C2^2:8C2	192,1321
D₁₂⋊₆C₂²⋊₉C₂ = S₃×C₈⋊C₂²	φ: C₂/C₁ → C₂ ⊆ Out D₁₂⋊₆C₂²	24	8+	D12:6C2^2:9C2	192,1331
D₁₂⋊₆C₂²⋊₁₀C₂ = D₈⋊₄D₆	φ: C₂/C₁ → C₂ ⊆ Out D₁₂⋊₆C₂²	48	8-	D12:6C2^2:10C2	192,1332
D₁₂⋊₆C₂²⋊₁₁C₂ = D₁₂.₃₂C₂³	φ: C₂/C₁ → C₂ ⊆ Out D₁₂⋊₆C₂²	48	8+	D12:6C2^2:11C2	192,1394
D₁₂⋊₆C₂²⋊₁₂C₂ = D₁₂.₃₃C₂³	φ: C₂/C₁ → C₂ ⊆ Out D₁₂⋊₆C₂²	48	8-	D12:6C2^2:12C2	192,1395
D₁₂⋊₆C₂²⋊₁₃C₂ = C₁₂.C₂⁴	φ: trivial image	48	4	D12:6C2^2:13C2	192,1381

Non-split extensions G=N.Q with N=D₁₂⋊₆C₂² and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₂⋊₆C₂².₁C₂ = D₁₂.₂D₄	φ: C₂/C₁ → C₂ ⊆ Out D₁₂⋊₆C₂²	48	8-	D12:6C2^2.1C2	192,307
D₁₂⋊₆C₂².₂C₂ = C₂₄.₄₄D₄	φ: C₂/C₁ → C₂ ⊆ Out D₁₂⋊₆C₂²	48	4	D12:6C2^2.2C2	192,736

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