Extensions 1→N→G→Q→1 with N=C₅ and Q=C₂³.₂₆D₆

Direct product G=N×Q with N=C₅ and Q=C₂³.₂₆D₆

		d	ρ	Label	ID
C₅×C₂³.₂₆D₆		240		C5xC2^3.26D6	480,805

Semidirect products G=N:Q with N=C₅ and Q=C₂³.₂₆D₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊(C₂³.₂₆D₆) = (C₂×C₁₂)⋊₆F₅	φ: C₂³.₂₆D₆/C₂×C₁₂ → C₄ ⊆ Aut C₅	120	4	C5:(C2^3.26D6)	480,1065
C₅⋊₂(C₂³.₂₆D₆) = (D₅×C₁₂)⋊C₄	φ: C₂³.₂₆D₆/C₄×Dic₃ → C₂ ⊆ Aut C₅	240		C5:2(C2^3.26D6)	480,433
C₅⋊₃(C₂³.₂₆D₆) = (C₄×D₅)⋊Dic₃	φ: C₂³.₂₆D₆/C₄⋊Dic₃ → C₂ ⊆ Aut C₅	240		C5:3(C2^3.26D6)	480,434
C₅⋊₄(C₂³.₂₆D₆) = (C₆×Dic₅)⋊₇C₄	φ: C₂³.₂₆D₆/C₆.D₄ → C₂ ⊆ Aut C₅	240		C5:4(C2^3.26D6)	480,604
C₅⋊₅(C₂³.₂₆D₆) = C₂³.₂₆D₃₀	φ: C₂³.₂₆D₆/C₂²×C₁₂ → C₂ ⊆ Aut C₅	240		C5:5(C2^3.26D6)	480,891

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