Extensions 1→N→G→Q→1 with N=C₅ and Q=C₈○D₁₂

Direct product G=N×Q with N=C₅ and Q=C₈○D₁₂

		d	ρ	Label	ID
C₅×C₈○D₁₂		240	2	C5xC8oD12	480,780

Semidirect products G=N:Q with N=C₅ and Q=C₈○D₁₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(C₈○D₁₂) = D₆₀.C₄	φ: C₈○D₁₂/Dic₆ → C₄ ⊆ Aut C₅	240	8+	C5:1(C8oD12)	480,990
C₅⋊₂(C₈○D₁₂) = D₁₂.₂F₅	φ: C₈○D₁₂/D₁₂ → C₄ ⊆ Aut C₅	240	8-	C5:2(C8oD12)	480,987
C₅⋊₃(C₈○D₁₂) = C₅⋊C₈.D₆	φ: C₈○D₁₂/C₃⋊D₄ → C₄ ⊆ Aut C₅	240	8	C5:3(C8oD12)	480,1003
C₅⋊₄(C₈○D₁₂) = C₄₀.₅₄D₆	φ: C₈○D₁₂/S₃×C₈ → C₂ ⊆ Aut C₅	240	4	C5:4(C8oD12)	480,341
C₅⋊₅(C₈○D₁₂) = C₄₀.₃₄D₆	φ: C₈○D₁₂/C₈⋊S₃ → C₂ ⊆ Aut C₅	240	4	C5:5(C8oD12)	480,342
C₅⋊₆(C₈○D₁₂) = D₆₀.₅C₄	φ: C₈○D₁₂/C₄.Dic₃ → C₂ ⊆ Aut C₅	240	4	C5:6(C8oD12)	480,366
C₅⋊₇(C₈○D₁₂) = D₆₀.₆C₄	φ: C₈○D₁₂/C₂×C₂₄ → C₂ ⊆ Aut C₅	240	2	C5:7(C8oD12)	480,866
C₅⋊₈(C₈○D₁₂) = D₁₂.₂Dic₅	φ: C₈○D₁₂/C₄○D₁₂ → C₂ ⊆ Aut C₅	240	4	C5:8(C8oD12)	480,362

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁