Extensions 1→N→G→Q→1 with N=C₅×Q₈ and Q=C₆

Direct product G=N×Q with N=C₅×Q₈ and Q=C₆

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

Semidirect products G=N:Q with N=C₅×Q₈ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅×Q₈)⋊C₆ = D₅×SL₂(𝔽₃)	φ: C₆/C₁ → C₆ ⊆ Out C₅×Q₈	40	4-	(C5xQ8):C6	240,109
(C₅×Q₈)⋊₂C₆ = C₁₀×SL₂(𝔽₃)	φ: C₆/C₂ → C₃ ⊆ Out C₅×Q₈	80		(C5xQ8):2C6	240,153
(C₅×Q₈)⋊₃C₆ = C₃×Q₈⋊D₅	φ: C₆/C₃ → C₂ ⊆ Out C₅×Q₈	120	4	(C5xQ8):3C6	240,46
(C₅×Q₈)⋊₄C₆ = C₃×Q₈×D₅	φ: C₆/C₃ → C₂ ⊆ Out C₅×Q₈	120	4	(C5xQ8):4C6	240,161
(C₅×Q₈)⋊₅C₆ = C₃×Q₈⋊₂D₅	φ: C₆/C₃ → C₂ ⊆ Out C₅×Q₈	120	4	(C5xQ8):5C6	240,162
(C₅×Q₈)⋊₆C₆ = C₁₅×SD₁₆	φ: C₆/C₃ → C₂ ⊆ Out C₅×Q₈	120	2	(C5xQ8):6C6	240,87
(C₅×Q₈)⋊₇C₆ = C₁₅×C₄○D₄	φ: trivial image	120	2	(C5xQ8):7C6	240,188

Non-split extensions G=N.Q with N=C₅×Q₈ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅×Q₈).C₆ = Dic₅.A₄	φ: C₆/C₁ → C₆ ⊆ Out C₅×Q₈	80	4+	(C5xQ8).C6	240,108
(C₅×Q₈).₂C₆ = C₅×C₄.A₄	φ: C₆/C₂ → C₃ ⊆ Out C₅×Q₈	80	2	(C5xQ8).2C6	240,154
(C₅×Q₈).₃C₆ = C₃×C₅⋊Q₁₆	φ: C₆/C₃ → C₂ ⊆ Out C₅×Q₈	240	4	(C5xQ8).3C6	240,47
(C₅×Q₈).₄C₆ = C₁₅×Q₁₆	φ: C₆/C₃ → C₂ ⊆ Out C₅×Q₈	240	2	(C5xQ8).4C6	240,88

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