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		240	2	C15xC8.C4	480,211

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×C₄₀.C₄	φ: C₃×C₈.C₄/C₂₄ → C₄ ⊆ Aut C₅	240	4	C5:1(C3xC8.C4)	480,275
C₅⋊₂(C₃×C₈.C₄) = C₃×D₁₀.Q₈	φ: C₃×C₈.C₄/C₂₄ → C₄ ⊆ Aut C₅	240	4	C5:2(C3xC8.C4)	480,276
C₅⋊₃(C₃×C₈.C₄) = C₃×C₄₀.₆C₄	φ: C₃×C₈.C₄/C₂×C₂₄ → C₂ ⊆ Aut C₅	240	2	C5:3(C3xC8.C4)	480,97
C₅⋊₄(C₃×C₈.C₄) = C₃×C₂₀.₅₃D₄	φ: C₃×C₈.C₄/C₃×M₄(2) → C₂ ⊆ Aut C₅	240	4	C5:4(C3xC8.C4)	480,100

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