Extensions 1→N→G→Q→1 with N=C₅ and Q=C₆.C₄²

Direct product G=N×Q with N=C₅ and Q=C₆.C₄²

		d	ρ	Label	ID
C₅×C₆.C₄²		480		C5xC6.C4^2	480,150

Semidirect products G=N:Q with N=C₅ and Q=C₆.C₄²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(C₆.C₄²) = D₁₀.₂₀D₁₂	φ: C₆.C₄²/C₂×Dic₃ → C₄ ⊆ Aut C₅	120		C5:1(C6.C4^2)	480,243
C₅⋊₂(C₆.C₄²) = D₁₀.₁₀D₁₂	φ: C₆.C₄²/C₂×C₁₂ → C₄ ⊆ Aut C₅	120		C5:2(C6.C4^2)	480,311
C₅⋊₃(C₆.C₄²) = C₃₀.₂₄C₄²	φ: C₆.C₄²/C₂²×Dic₃ → C₂ ⊆ Aut C₅	480		C5:3(C6.C4^2)	480,70
C₅⋊₄(C₆.C₄²) = C₃₀.₂₉C₄²	φ: C₆.C₄²/C₂²×C₁₂ → C₂ ⊆ Aut C₅	480		C5:4(C6.C4^2)	480,191

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