Extensions 1→N→G→Q→1 with N=C₅ and Q=D₄○D₁₂

Direct product G=N×Q with N=C₅ and Q=D₄○D₁₂

		d	ρ	Label	ID
C₅×D₄○D₁₂		120	4	C5xD4oD12	480,1161

Semidirect products G=N:Q with N=C₅ and Q=D₄○D₁₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(D₄○D₁₂) = D₂₀⋊₂₆D₆	φ: D₄○D₁₂/C₂×D₁₂ → C₂ ⊆ Aut C₅	120	4	C5:1(D4oD12)	480,1094
C₅⋊₂(D₄○D₁₂) = D₂₀⋊₂₉D₆	φ: D₄○D₁₂/C₄○D₁₂ → C₂ ⊆ Aut C₅	120	4+	C5:2(D4oD12)	480,1095
C₅⋊₃(D₄○D₁₂) = D₁₂⋊₁₄D₁₀	φ: D₄○D₁₂/S₃×D₄ → C₂ ⊆ Aut C₅	120	8+	C5:3(D4oD12)	480,1103
C₅⋊₄(D₄○D₁₂) = D₂₀⋊₁₇D₆	φ: D₄○D₁₂/Q₈⋊₃S₃ → C₂ ⊆ Aut C₅	120	8+	C5:4(D4oD12)	480,1111
C₅⋊₅(D₄○D₁₂) = D₄⋊₈D₃₀	φ: D₄○D₁₂/C₃×C₄○D₄ → C₂ ⊆ Aut C₅	120	4+	C5:5(D4oD12)	480,1176

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁