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

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

		d	ρ	Label	ID
C₁₅×C₄○D₄		120	2	C15xC4oD4	240,188

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(C₃×C₄○D₄) = C₃×C₄○D₂₀	φ: C₃×C₄○D₄/C₂×C₁₂ → C₂ ⊆ Aut C₅	120	2	C5:1(C3xC4oD4)	240,158
C₅⋊₂(C₃×C₄○D₄) = C₃×D₄⋊₂D₅	φ: C₃×C₄○D₄/C₃×D₄ → C₂ ⊆ Aut C₅	120	4	C5:2(C3xC4oD4)	240,160
C₅⋊₃(C₃×C₄○D₄) = C₃×Q₈⋊₂D₅	φ: C₃×C₄○D₄/C₃×Q₈ → C₂ ⊆ Aut C₅	120	4	C5:3(C3xC4oD4)	240,162

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