Extensions 1→N→G→Q→1 with N=C₃xC₄.₁₀D₄ and Q=C₂

Direct product G=NxQ with N=C₃xC₄.₁₀D₄ and Q=C₂

		d	ρ	Label	ID
C₆xC₄.₁₀D₄		96		C6xC4.10D4	192,845

Semidirect products G=N:Q with N=C₃xC₄.₁₀D₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃xC₄.₁₀D₄):₁C₂ = D₁₂.₆D₄	φ: C₂/C₁ → C₂ ⊆ Out C₃xC₄.₁₀D₄	48	8+	(C3xC4.10D4):1C2	192,313
(C₃xC₄.₁₀D₄):₂C₂ = D₁₂.₇D₄	φ: C₂/C₁ → C₂ ⊆ Out C₃xC₄.₁₀D₄	96	8-	(C3xC4.10D4):2C2	192,314
(C₃xC₄.₁₀D₄):₃C₂ = D₁₂.₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₃xC₄.₁₀D₄	48	8-	(C3xC4.10D4):3C2	192,311
(C₃xC₄.₁₀D₄):₄C₂ = D₁₂.₅D₄	φ: C₂/C₁ → C₂ ⊆ Out C₃xC₄.₁₀D₄	48	8+	(C3xC4.10D4):4C2	192,312
(C₃xC₄.₁₀D₄):₅C₂ = C₃xD₄.₈D₄	φ: C₂/C₁ → C₂ ⊆ Out C₃xC₄.₁₀D₄	48	4	(C3xC4.10D4):5C2	192,887
(C₃xC₄.₁₀D₄):₆C₂ = C₃xD₄.₁₀D₄	φ: C₂/C₁ → C₂ ⊆ Out C₃xC₄.₁₀D₄	48	4	(C3xC4.10D4):6C2	192,889
(C₃xC₄.₁₀D₄):₇C₂ = C₃xD₄.₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₃xC₄.₁₀D₄	48	4	(C3xC4.10D4):7C2	192,904
(C₃xC₄.₁₀D₄):₈C₂ = C₃xD₄.₅D₄	φ: C₂/C₁ → C₂ ⊆ Out C₃xC₄.₁₀D₄	96	4	(C3xC4.10D4):8C2	192,906
(C₃xC₄.₁₀D₄):₉C₂ = S₃xC₄.₁₀D₄	φ: C₂/C₁ → C₂ ⊆ Out C₃xC₄.₁₀D₄	48	8-	(C3xC4.10D4):9C2	192,309
(C₃xC₄.₁₀D₄):₁₀C₂ = M₄(2).₂₁D₆	φ: C₂/C₁ → C₂ ⊆ Out C₃xC₄.₁₀D₄	48	8+	(C3xC4.10D4):10C2	192,310
(C₃xC₄.₁₀D₄):₁₁C₂ = (C₂xC₄).D₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₃xC₄.₁₀D₄	48	8+	(C3xC4.10D4):11C2	192,36
(C₃xC₄.₁₀D₄):₁₂C₂ = C₃xC₄².C₄	φ: C₂/C₁ → C₂ ⊆ Out C₃xC₄.₁₀D₄	48	4	(C3xC4.10D4):12C2	192,161
(C₃xC₄.₁₀D₄):₁₃C₂ = C₃xM₄(2).₈C₂²	φ: trivial image	48	4	(C3xC4.10D4):13C2	192,846

Non-split extensions G=N.Q with N=C₃xC₄.₁₀D₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃xC₄.₁₀D₄).₁C₂ = (C₂xC₁₂).D₄	φ: C₂/C₁ → C₂ ⊆ Out C₃xC₄.₁₀D₄	48	8-	(C3xC4.10D4).1C2	192,37
(C₃xC₄.₁₀D₄).₂C₂ = C₃xC₄².₃C₄	φ: C₂/C₁ → C₂ ⊆ Out C₃xC₄.₁₀D₄	48	4	(C3xC4.10D4).2C2	192,162

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