Extensions 1→N→G→Q→1 with N=C₅ and Q=D₄×C₂×C₆

Direct product G=N×Q with N=C₅ and Q=D₄×C₂×C₆

		d	ρ	Label	ID
D₄×C₂×C₃₀		240		D4xC2xC30	480,1181

Semidirect products G=N:Q with N=C₅ and Q=D₄×C₂×C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(D₄×C₂×C₆) = C₂×C₆×D₂₀	φ: D₄×C₂×C₆/C₂²×C₁₂ → C₂ ⊆ Aut C₅	240		C5:1(D4xC2xC6)	480,1137
C₅⋊₂(D₄×C₂×C₆) = C₆×D₄×D₅	φ: D₄×C₂×C₆/C₆×D₄ → C₂ ⊆ Aut C₅	120		C5:2(D4xC2xC6)	480,1139
C₅⋊₃(D₄×C₂×C₆) = C₂×C₆×C₅⋊D₄	φ: D₄×C₂×C₆/C₂³×C₆ → C₂ ⊆ Aut C₅	240		C5:3(D4xC2xC6)	480,1149

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