Extensions 1→N→G→Q→1 with N=C₂×D₄ and Q=C₃₀

Direct product G=N×Q with N=C₂×D₄ and Q=C₃₀

		d	ρ	Label	ID
D₄×C₂×C₃₀		240		D4xC2xC30	480,1181

Semidirect products G=N:Q with N=C₂×D₄ and Q=C₃₀

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×D₄)⋊₁C₃₀ = C₁₅×C₂²≀C₂	φ: C₃₀/C₁₅ → C₂ ⊆ Out C₂×D₄	120		(C2xD4):1C30	480,925
(C₂×D₄)⋊₂C₃₀ = C₁₅×C₄⋊D₄	φ: C₃₀/C₁₅ → C₂ ⊆ Out C₂×D₄	240		(C2xD4):2C30	480,926
(C₂×D₄)⋊₃C₃₀ = C₁₅×C₄⋊₁D₄	φ: C₃₀/C₁₅ → C₂ ⊆ Out C₂×D₄	240		(C2xD4):3C30	480,932
(C₂×D₄)⋊₄C₃₀ = D₈×C₃₀	φ: C₃₀/C₁₅ → C₂ ⊆ Out C₂×D₄	240		(C2xD4):4C30	480,937
(C₂×D₄)⋊₅C₃₀ = C₁₅×C₈⋊C₂²	φ: C₃₀/C₁₅ → C₂ ⊆ Out C₂×D₄	120	4	(C2xD4):5C30	480,941
(C₂×D₄)⋊₆C₃₀ = C₁₅×2₊¹⁺⁴	φ: C₃₀/C₁₅ → C₂ ⊆ Out C₂×D₄	120	4	(C2xD4):6C30	480,1184
(C₂×D₄)⋊₇C₃₀ = C₄○D₄×C₃₀	φ: trivial image	240		(C2xD4):7C30	480,1183

Non-split extensions G=N.Q with N=C₂×D₄ and Q=C₃₀

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×D₄).₁C₃₀ = C₁₅×C₂³⋊C₄	φ: C₃₀/C₁₅ → C₂ ⊆ Out C₂×D₄	120	4	(C2xD4).1C30	480,202
(C₂×D₄).₂C₃₀ = C₁₅×C₄.D₄	φ: C₃₀/C₁₅ → C₂ ⊆ Out C₂×D₄	120	4	(C2xD4).2C30	480,203
(C₂×D₄).₃C₃₀ = C₁₅×D₄⋊C₄	φ: C₃₀/C₁₅ → C₂ ⊆ Out C₂×D₄	240		(C2xD4).3C30	480,205
(C₂×D₄).₄C₃₀ = C₁₅×C₂².D₄	φ: C₃₀/C₁₅ → C₂ ⊆ Out C₂×D₄	240		(C2xD4).4C30	480,928
(C₂×D₄).₅C₃₀ = C₁₅×C₄.₄D₄	φ: C₃₀/C₁₅ → C₂ ⊆ Out C₂×D₄	240		(C2xD4).5C30	480,929
(C₂×D₄).₆C₃₀ = SD₁₆×C₃₀	φ: C₃₀/C₁₅ → C₂ ⊆ Out C₂×D₄	240		(C2xD4).6C30	480,938
(C₂×D₄).₇C₃₀ = D₄×C₆₀	φ: trivial image	240		(C2xD4).7C30	480,923

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