Extensions 1→N→G→Q→1 with N=C₅ and Q=C₃×C₈○D₄

Direct product G=N×Q with N=C₅ and Q=C₃×C₈○D₄

		d	ρ	Label	ID
C₁₅×C₈○D₄		240	2	C15xC8oD4	480,936

Semidirect products G=N:Q with N=C₅ and Q=C₃×C₈○D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(C₃×C₈○D₄) = C₃×D₄.F₅	φ: C₃×C₈○D₄/C₃×D₄ → C₄ ⊆ Aut C₅	240	8	C5:1(C3xC8oD4)	480,1053
C₅⋊₂(C₃×C₈○D₄) = C₃×Q₈.F₅	φ: C₃×C₈○D₄/C₃×Q₈ → C₄ ⊆ Aut C₅	240	8	C5:2(C3xC8oD4)	480,1055
C₅⋊₃(C₃×C₈○D₄) = C₃×D₂₀.₃C₄	φ: C₃×C₈○D₄/C₂×C₂₄ → C₂ ⊆ Aut C₅	240	2	C5:3(C3xC8oD4)	480,694
C₅⋊₄(C₃×C₈○D₄) = C₃×D₂₀.₂C₄	φ: C₃×C₈○D₄/C₃×M₄(2) → C₂ ⊆ Aut C₅	240	4	C5:4(C3xC8oD4)	480,700
C₅⋊₅(C₃×C₈○D₄) = C₃×D₄.Dic₅	φ: C₃×C₈○D₄/C₃×C₄○D₄ → C₂ ⊆ Aut C₅	240	4	C5:5(C3xC8oD4)	480,741

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