Extensions 1→N→G→Q→1 with N=C₅ and Q=D₄×A₄

Direct product G=N×Q with N=C₅ and Q=D₄×A₄

		d	ρ	Label	ID
C₅×D₄×A₄		60	6	C5xD4xA4	480,1127

Semidirect products G=N:Q with N=C₅ and Q=D₄×A₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(D₄×A₄) = A₄×D₂₀	φ: D₄×A₄/C₄×A₄ → C₂ ⊆ Aut C₅	60	6+	C5:1(D4xA4)	480,1037
C₅⋊₂(D₄×A₄) = A₄×C₅⋊D₄	φ: D₄×A₄/C₂²×A₄ → C₂ ⊆ Aut C₅	60	6	C5:2(D4xA4)	480,1045

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁