Extensions 1→N→G→Q→1 with N=D₄⋊₂D₅ and Q=C₆

Direct product G=N×Q with N=D₄⋊₂D₅ and Q=C₆

		d	ρ	Label	ID
C₆×D₄⋊₂D₅		240		C6xD4:2D5	480,1140

Semidirect products G=N:Q with N=D₄⋊₂D₅ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
D₄⋊₂D₅⋊₁C₆ = C₃×D₈⋊D₅	φ: C₆/C₃ → C₂ ⊆ Out D₄⋊₂D₅	120	4	D4:2D5:1C6	480,704
D₄⋊₂D₅⋊₂C₆ = C₃×D₈⋊₃D₅	φ: C₆/C₃ → C₂ ⊆ Out D₄⋊₂D₅	240	4	D4:2D5:2C6	480,705
D₄⋊₂D₅⋊₃C₆ = C₃×SD₁₆⋊₃D₅	φ: C₆/C₃ → C₂ ⊆ Out D₄⋊₂D₅	240	4	D4:2D5:3C6	480,709
D₄⋊₂D₅⋊₄C₆ = C₃×D₄⋊₆D₁₀	φ: C₆/C₃ → C₂ ⊆ Out D₄⋊₂D₅	120	4	D4:2D5:4C6	480,1141
D₄⋊₂D₅⋊₅C₆ = C₃×D₄.₁₀D₁₀	φ: C₆/C₃ → C₂ ⊆ Out D₄⋊₂D₅	240	4	D4:2D5:5C6	480,1147
D₄⋊₂D₅⋊₆C₆ = C₃×D₅×C₄○D₄	φ: trivial image	120	4	D4:2D5:6C6	480,1145

Non-split extensions G=N.Q with N=D₄⋊₂D₅ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
D₄⋊₂D₅.₁C₆ = C₃×SD₁₆⋊D₅	φ: C₆/C₃ → C₂ ⊆ Out D₄⋊₂D₅	240	4	D4:2D5.1C6	480,708
D₄⋊₂D₅.₂C₆ = C₃×D₄⋊F₅	φ: C₆/C₃ → C₂ ⊆ Out D₄⋊₂D₅	120	8	D4:2D5.2C6	480,288
D₄⋊₂D₅.₃C₆ = C₃×D₄.F₅	φ: C₆/C₃ → C₂ ⊆ Out D₄⋊₂D₅	240	8	D4:2D5.3C6	480,1053

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