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

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

		d	ρ	Label	ID
C₆×D₄.D₅		240		C6xD4.D5	480,726

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

extension	φ:Q→Out N	d	ρ	Label	ID
D₄.D₅⋊₁C₆ = C₃×D₈⋊D₅	φ: C₆/C₃ → C₂ ⊆ Out D₄.D₅	120	4	D4.D5:1C6	480,704
D₄.D₅⋊₂C₆ = C₃×D₈⋊₃D₅	φ: C₆/C₃ → C₂ ⊆ Out D₄.D₅	240	4	D4.D5:2C6	480,705
D₄.D₅⋊₃C₆ = C₃×D₅×SD₁₆	φ: C₆/C₃ → C₂ ⊆ Out D₄.D₅	120	4	D4.D5:3C6	480,706
D₄.D₅⋊₄C₆ = C₃×SD₁₆⋊D₅	φ: C₆/C₃ → C₂ ⊆ Out D₄.D₅	240	4	D4.D5:4C6	480,708
D₄.D₅⋊₅C₆ = C₃×D₄.D₁₀	φ: C₆/C₃ → C₂ ⊆ Out D₄.D₅	120	4	D4.D5:5C6	480,725
D₄.D₅⋊₆C₆ = C₃×D₄.₉D₁₀	φ: C₆/C₃ → C₂ ⊆ Out D₄.D₅	240	4	D4.D5:6C6	480,744
D₄.D₅⋊₇C₆ = C₃×D₄.₈D₁₀	φ: trivial image	240	4	D4.D5:7C6	480,743

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁