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

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

		d	ρ	Label	ID
C₆×D₄×D₅		120		C6xD4xD5	480,1139

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

extension	φ:Q→Out N	d	ρ	Label	ID
D₅.₁(C₆×D₄) = C₆×C₄⋊F₅	φ: C₆×D₄/C₂×C₁₂ → C₂ ⊆ Out D₅	120		D5.1(C6xD4)	480,1051
D₅.₂(C₆×D₄) = C₃×D₄×F₅	φ: C₆×D₄/C₃×D₄ → C₂ ⊆ Out D₅	60	8	D5.2(C6xD4)	480,1054
D₅.₃(C₆×D₄) = C₆×C₂²⋊F₅	φ: C₆×D₄/C₂²×C₆ → C₂ ⊆ Out D₅	120		D5.3(C6xD4)	480,1059

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁