Extensions 1→N→G→Q→1 with N=C₂×Q₈ and Q=C₃₀

Direct product G=N×Q with N=C₂×Q₈ and Q=C₃₀

		d	ρ	Label	ID
Q₈×C₂×C₃₀		480		Q8xC2xC30	480,1182

Semidirect products G=N:Q with N=C₂×Q₈ and Q=C₃₀

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×Q₈)⋊C₃₀ = C₅×D₄.A₄	φ: C₃₀/C₅ → C₆ ⊆ Out C₂×Q₈	80	4	(C2xQ8):C30	480,1132
(C₂×Q₈)⋊₂C₃₀ = C₂×C₁₀×SL₂(𝔽₃)	φ: C₃₀/C₁₀ → C₃ ⊆ Out C₂×Q₈	160		(C2xQ8):2C30	480,1128
(C₂×Q₈)⋊₃C₃₀ = C₁₅×C₂²⋊Q₈	φ: C₃₀/C₁₅ → C₂ ⊆ Out C₂×Q₈	240		(C2xQ8):3C30	480,927
(C₂×Q₈)⋊₄C₃₀ = C₁₅×C₄.₄D₄	φ: C₃₀/C₁₅ → C₂ ⊆ Out C₂×Q₈	240		(C2xQ8):4C30	480,929
(C₂×Q₈)⋊₅C₃₀ = SD₁₆×C₃₀	φ: C₃₀/C₁₅ → C₂ ⊆ Out C₂×Q₈	240		(C2xQ8):5C30	480,938
(C₂×Q₈)⋊₆C₃₀ = C₁₅×C₈.C₂²	φ: C₃₀/C₁₅ → C₂ ⊆ Out C₂×Q₈	240	4	(C2xQ8):6C30	480,942
(C₂×Q₈)⋊₇C₃₀ = C₁₅×2_-¹⁺⁴	φ: C₃₀/C₁₅ → C₂ ⊆ Out C₂×Q₈	240	4	(C2xQ8):7C30	480,1185
(C₂×Q₈)⋊₈C₃₀ = C₄○D₄×C₃₀	φ: trivial image	240		(C2xQ8):8C30	480,1183

Non-split extensions G=N.Q with N=C₂×Q₈ and Q=C₃₀

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×Q₈).₁C₃₀ = C₂₀×SL₂(𝔽₃)	φ: C₃₀/C₁₀ → C₃ ⊆ Out C₂×Q₈	160		(C2xQ8).1C30	480,655
(C₂×Q₈).₂C₃₀ = C₁₀×C₄.A₄	φ: C₃₀/C₁₀ → C₃ ⊆ Out C₂×Q₈	160		(C2xQ8).2C30	480,1130
(C₂×Q₈).₃C₃₀ = C₁₅×C₄.₁₀D₄	φ: C₃₀/C₁₅ → C₂ ⊆ Out C₂×Q₈	240	4	(C2xQ8).3C30	480,204
(C₂×Q₈).₄C₃₀ = C₁₅×Q₈⋊C₄	φ: C₃₀/C₁₅ → C₂ ⊆ Out C₂×Q₈	480		(C2xQ8).4C30	480,206
(C₂×Q₈).₅C₃₀ = C₁₅×C₄⋊Q₈	φ: C₃₀/C₁₅ → C₂ ⊆ Out C₂×Q₈	480		(C2xQ8).5C30	480,933
(C₂×Q₈).₆C₃₀ = Q₁₆×C₃₀	φ: C₃₀/C₁₅ → C₂ ⊆ Out C₂×Q₈	480		(C2xQ8).6C30	480,939
(C₂×Q₈).₇C₃₀ = Q₈×C₆₀	φ: trivial image	480		(C2xQ8).7C30	480,924

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