Extensions 1→N→G→Q→1 with N=C₅ and Q=C₃×C₈⋊C₄

Direct product G=N×Q with N=C₅ and Q=C₃×C₈⋊C₄

		d	ρ	Label	ID
C₁₅×C₈⋊C₄		480		C15xC8:C4	480,200

Semidirect products G=N:Q with N=C₅ and Q=C₃×C₈⋊C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(C₃×C₈⋊C₄) = C₃×C₈⋊F₅	φ: C₃×C₈⋊C₄/C₂₄ → C₄ ⊆ Aut C₅	120	4	C5:1(C3xC8:C4)	480,272
C₅⋊₂(C₃×C₈⋊C₄) = C₃×C₁₀.C₄²	φ: C₃×C₈⋊C₄/C₂×C₁₂ → C₄ ⊆ Aut C₅	480		C5:2(C3xC8:C4)	480,282
C₅⋊₃(C₃×C₈⋊C₄) = C₃×C₄².D₅	φ: C₃×C₈⋊C₄/C₄×C₁₂ → C₂ ⊆ Aut C₅	480		C5:3(C3xC8:C4)	480,81
C₅⋊₄(C₃×C₈⋊C₄) = C₃×C₄₀⋊₈C₄	φ: C₃×C₈⋊C₄/C₂×C₂₄ → C₂ ⊆ Aut C₅	480		C5:4(C3xC8:C4)	480,93

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