Extensions 1→N→G→Q→1 with N=C₃×C₄○D₄ and Q=C₁₀

Direct product G=N×Q with N=C₃×C₄○D₄ and Q=C₁₀

		d	ρ	Label	ID
C₄○D₄×C₃₀		240		C4oD4xC30	480,1183

Semidirect products G=N:Q with N=C₃×C₄○D₄ and Q=C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×C₄○D₄)⋊₁C₁₀ = C₅×D₄⋊D₆	φ: C₁₀/C₅ → C₂ ⊆ Out C₃×C₄○D₄	120	4	(C3xC4oD4):1C10	480,828
(C₃×C₄○D₄)⋊₂C₁₀ = C₅×Q₈.₁₃D₆	φ: C₁₀/C₅ → C₂ ⊆ Out C₃×C₄○D₄	240	4	(C3xC4oD4):2C10	480,829
(C₃×C₄○D₄)⋊₃C₁₀ = C₅×S₃×C₄○D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₃×C₄○D₄	120	4	(C3xC4oD4):3C10	480,1160
(C₃×C₄○D₄)⋊₄C₁₀ = C₅×D₄○D₁₂	φ: C₁₀/C₅ → C₂ ⊆ Out C₃×C₄○D₄	120	4	(C3xC4oD4):4C10	480,1161
(C₃×C₄○D₄)⋊₅C₁₀ = C₅×Q₈○D₁₂	φ: C₁₀/C₅ → C₂ ⊆ Out C₃×C₄○D₄	240	4	(C3xC4oD4):5C10	480,1162
(C₃×C₄○D₄)⋊₆C₁₀ = C₁₅×C₄○D₈	φ: C₁₀/C₅ → C₂ ⊆ Out C₃×C₄○D₄	240	2	(C3xC4oD4):6C10	480,940
(C₃×C₄○D₄)⋊₇C₁₀ = C₁₅×C₈⋊C₂²	φ: C₁₀/C₅ → C₂ ⊆ Out C₃×C₄○D₄	120	4	(C3xC4oD4):7C10	480,941
(C₃×C₄○D₄)⋊₈C₁₀ = C₁₅×2₊¹⁺⁴	φ: C₁₀/C₅ → C₂ ⊆ Out C₃×C₄○D₄	120	4	(C3xC4oD4):8C10	480,1184
(C₃×C₄○D₄)⋊₉C₁₀ = C₁₅×2_-¹⁺⁴	φ: C₁₀/C₅ → C₂ ⊆ Out C₃×C₄○D₄	240	4	(C3xC4oD4):9C10	480,1185

Non-split extensions G=N.Q with N=C₃×C₄○D₄ and Q=C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×C₄○D₄).₁C₁₀ = C₅×Q₈⋊₃Dic₃	φ: C₁₀/C₅ → C₂ ⊆ Out C₃×C₄○D₄	120	4	(C3xC4oD4).1C10	480,156
(C₃×C₄○D₄).₂C₁₀ = C₅×D₄.Dic₃	φ: C₁₀/C₅ → C₂ ⊆ Out C₃×C₄○D₄	240	4	(C3xC4oD4).2C10	480,827
(C₃×C₄○D₄).₃C₁₀ = C₅×Q₈.₁₄D₆	φ: C₁₀/C₅ → C₂ ⊆ Out C₃×C₄○D₄	240	4	(C3xC4oD4).3C10	480,830
(C₃×C₄○D₄).₄C₁₀ = C₁₅×C₄≀C₂	φ: C₁₀/C₅ → C₂ ⊆ Out C₃×C₄○D₄	120	2	(C3xC4oD4).4C10	480,207
(C₃×C₄○D₄).₅C₁₀ = C₁₅×C₈.C₂²	φ: C₁₀/C₅ → C₂ ⊆ Out C₃×C₄○D₄	240	4	(C3xC4oD4).5C10	480,942
(C₃×C₄○D₄).₆C₁₀ = C₁₅×C₈○D₄	φ: trivial image	240	2	(C3xC4oD4).6C10	480,936

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