Extensions 1→N→G→Q→1 with N=C₅ and Q=C₆×C₄○D₄

Direct product G=N×Q with N=C₅ and Q=C₆×C₄○D₄

		d	ρ	Label	ID
C₄○D₄×C₃₀		240		C4oD4xC30	480,1183

Semidirect products G=N:Q with N=C₅ and Q=C₆×C₄○D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(C₆×C₄○D₄) = C₆×C₄○D₂₀	φ: C₆×C₄○D₄/C₂²×C₁₂ → C₂ ⊆ Aut C₅	240		C5:1(C6xC4oD4)	480,1138
C₅⋊₂(C₆×C₄○D₄) = C₆×D₄⋊₂D₅	φ: C₆×C₄○D₄/C₆×D₄ → C₂ ⊆ Aut C₅	240		C5:2(C6xC4oD4)	480,1140
C₅⋊₃(C₆×C₄○D₄) = C₆×Q₈⋊₂D₅	φ: C₆×C₄○D₄/C₆×Q₈ → C₂ ⊆ Aut C₅	240		C5:3(C6xC4oD4)	480,1143
C₅⋊₄(C₆×C₄○D₄) = C₃×D₅×C₄○D₄	φ: C₆×C₄○D₄/C₃×C₄○D₄ → C₂ ⊆ Aut C₅	120	4	C5:4(C6xC4oD4)	480,1145

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