Extensions 1→N→G→Q→1 with N=C₃×Q₈ and Q=C₁₀

Direct product G=N×Q with N=C₃×Q₈ and Q=C₁₀

		d	ρ	Label	ID
Q₈×C₃₀		240		Q8xC30	240,187

Semidirect products G=N:Q with N=C₃×Q₈ and Q=C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×Q₈)⋊₁C₁₀ = C₅×Q₈⋊₂S₃	φ: C₁₀/C₅ → C₂ ⊆ Out C₃×Q₈	120	4	(C3xQ8):1C10	240,62
(C₃×Q₈)⋊₂C₁₀ = C₅×S₃×Q₈	φ: C₁₀/C₅ → C₂ ⊆ Out C₃×Q₈	120	4	(C3xQ8):2C10	240,171
(C₃×Q₈)⋊₃C₁₀ = C₅×Q₈⋊₃S₃	φ: C₁₀/C₅ → C₂ ⊆ Out C₃×Q₈	120	4	(C3xQ8):3C10	240,172
(C₃×Q₈)⋊₄C₁₀ = C₁₅×SD₁₆	φ: C₁₀/C₅ → C₂ ⊆ Out C₃×Q₈	120	2	(C3xQ8):4C10	240,87
(C₃×Q₈)⋊₅C₁₀ = C₁₅×C₄○D₄	φ: trivial image	120	2	(C3xQ8):5C10	240,188

Non-split extensions G=N.Q with N=C₃×Q₈ and Q=C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×Q₈).₁C₁₀ = C₅×C₃⋊Q₁₆	φ: C₁₀/C₅ → C₂ ⊆ Out C₃×Q₈	240	4	(C3xQ8).1C10	240,63
(C₃×Q₈).₂C₁₀ = C₁₅×Q₁₆	φ: C₁₀/C₅ → C₂ ⊆ Out C₃×Q₈	240	2	(C3xQ8).2C10	240,88

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