Extensions 1→N→G→Q→1 with N=C₅ and Q=C₆×D₄

Direct product G=N×Q with N=C₅ and Q=C₆×D₄

		d	ρ	Label	ID
D₄×C₃₀		120		D4xC30	240,186

Semidirect products G=N:Q with N=C₅ and Q=C₆×D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(C₆×D₄) = C₆×D₂₀	φ: C₆×D₄/C₂×C₁₂ → C₂ ⊆ Aut C₅	120		C5:1(C6xD4)	240,157
C₅⋊₂(C₆×D₄) = C₃×D₄×D₅	φ: C₆×D₄/C₃×D₄ → C₂ ⊆ Aut C₅	60	4	C5:2(C6xD4)	240,159
C₅⋊₃(C₆×D₄) = C₆×C₅⋊D₄	φ: C₆×D₄/C₂²×C₆ → C₂ ⊆ Aut C₅	120		C5:3(C6xD4)	240,164

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