Extensions 1→N→G→Q→1 with N=D₅ and Q=D₆⋊C₄

Direct product G=N×Q with N=D₅ and Q=D₆⋊C₄

		d	ρ	Label	ID
D₅×D₆⋊C₄		120		D5xD6:C4	480,547

Semidirect products G=N:Q with N=D₅ and Q=D₆⋊C₄

extension	φ:Q→Out N	d	ρ	Label	ID
D₅⋊(D₆⋊C₄) = C₂×D₆⋊F₅	φ: D₆⋊C₄/C₂²×S₃ → C₂ ⊆ Out D₅	120		D5:(D6:C4)	480,1000

Non-split extensions G=N.Q with N=D₅ and Q=D₆⋊C₄

extension	φ:Q→Out N	d	ρ	Label	ID
D₅.₁(D₆⋊C₄) = D₁₀.₂₀D₁₂	φ: D₆⋊C₄/C₂×Dic₃ → C₂ ⊆ Out D₅	120		D5.1(D6:C4)	480,243
D₅.₂(D₆⋊C₄) = D₁₀.₁₀D₁₂	φ: D₆⋊C₄/C₂×C₁₂ → C₂ ⊆ Out D₅	120		D5.2(D6:C4)	480,311

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Extensions 1→N→G→Q→1 with N=D5 and Q=D6⋊C4