Extensions 1→N→G→Q→1 with N=C₅ and Q=C₃×C₄○D₈

Direct product G=N×Q with N=C₅ and Q=C₃×C₄○D₈

		d	ρ	Label	ID
C₁₅×C₄○D₈		240	2	C15xC4oD8	480,940

Semidirect products G=N:Q with N=C₅ and Q=C₃×C₄○D₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(C₃×C₄○D₈) = C₃×D₄₀⋊₇C₂	φ: C₃×C₄○D₈/C₂×C₂₄ → C₂ ⊆ Aut C₅	240	2	C5:1(C3xC4oD8)	480,697
C₅⋊₂(C₃×C₄○D₈) = C₃×D₈⋊₃D₅	φ: C₃×C₄○D₈/C₃×D₈ → C₂ ⊆ Aut C₅	240	4	C5:2(C3xC4oD8)	480,705
C₅⋊₃(C₃×C₄○D₈) = C₃×SD₁₆⋊₃D₅	φ: C₃×C₄○D₈/C₃×SD₁₆ → C₂ ⊆ Aut C₅	240	4	C5:3(C3xC4oD8)	480,709
C₅⋊₄(C₃×C₄○D₈) = C₃×Q₈.D₁₀	φ: C₃×C₄○D₈/C₃×Q₁₆ → C₂ ⊆ Aut C₅	240	4	C5:4(C3xC4oD8)	480,712
C₅⋊₅(C₃×C₄○D₈) = C₃×D₄.₈D₁₀	φ: C₃×C₄○D₈/C₃×C₄○D₄ → C₂ ⊆ Aut C₅	240	4	C5:5(C3xC4oD8)	480,743

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁