Extensions 1→N→G→Q→1 with N=C₅ and Q=C₃×C₄.₁₀D₄

Direct product G=N×Q with N=C₅ and Q=C₃×C₄.₁₀D₄

		d	ρ	Label	ID
C₁₅×C₄.₁₀D₄		240	4	C15xC4.10D4	480,204

Semidirect products G=N:Q with N=C₅ and Q=C₃×C₄.₁₀D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊(C₃×C₄.₁₀D₄) = C₃×Dic₅.D₄	φ: C₃×C₄.₁₀D₄/C₂×C₁₂ → C₄ ⊆ Aut C₅	240	4	C5:(C3xC4.10D4)	480,285
C₅⋊₂(C₃×C₄.₁₀D₄) = C₃×C₄.₁₂D₂₀	φ: C₃×C₄.₁₀D₄/C₃×M₄(2) → C₂ ⊆ Aut C₅	240	4	C5:2(C3xC4.10D4)	480,102
C₅⋊₃(C₃×C₄.₁₀D₄) = C₃×C₂₀.₁₀D₄	φ: C₃×C₄.₁₀D₄/C₆×Q₈ → C₂ ⊆ Aut C₅	240	4	C5:3(C3xC4.10D4)	480,114

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