Extensions 1→N→G→Q→1 with N=C₃×D₈ and Q=C₁₀

Direct product G=N×Q with N=C₃×D₈ and Q=C₁₀

		d	ρ	Label	ID
D₈×C₃₀		240		D8xC30	480,937

Semidirect products G=N:Q with N=C₃×D₈ and Q=C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×D₈)⋊₁C₁₀ = C₅×C₃⋊D₁₆	φ: C₁₀/C₅ → C₂ ⊆ Out C₃×D₈	240	4	(C3xD8):1C10	480,145
(C₃×D₈)⋊₂C₁₀ = C₅×S₃×D₈	φ: C₁₀/C₅ → C₂ ⊆ Out C₃×D₈	120	4	(C3xD8):2C10	480,789
(C₃×D₈)⋊₃C₁₀ = C₅×D₈⋊₃S₃	φ: C₁₀/C₅ → C₂ ⊆ Out C₃×D₈	240	4	(C3xD8):3C10	480,791
(C₃×D₈)⋊₄C₁₀ = C₅×D₈⋊S₃	φ: C₁₀/C₅ → C₂ ⊆ Out C₃×D₈	120	4	(C3xD8):4C10	480,790
(C₃×D₈)⋊₅C₁₀ = C₁₅×D₁₆	φ: C₁₀/C₅ → C₂ ⊆ Out C₃×D₈	240	2	(C3xD8):5C10	480,214
(C₃×D₈)⋊₆C₁₀ = C₁₅×C₈⋊C₂²	φ: C₁₀/C₅ → C₂ ⊆ Out C₃×D₈	120	4	(C3xD8):6C10	480,941
(C₃×D₈)⋊₇C₁₀ = C₁₅×C₄○D₈	φ: trivial image	240	2	(C3xD8):7C10	480,940

Non-split extensions G=N.Q with N=C₃×D₈ and Q=C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×D₈).₁C₁₀ = C₅×D₈.S₃	φ: C₁₀/C₅ → C₂ ⊆ Out C₃×D₈	240	4	(C3xD8).1C10	480,146
(C₃×D₈).₂C₁₀ = C₁₅×SD₃₂	φ: C₁₀/C₅ → C₂ ⊆ Out C₃×D₈	240	2	(C3xD8).2C10	480,215

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