Extensions 1→N→G→Q→1 with N=C₅ and Q=C₂³.₂₈D₆

Direct product G=N×Q with N=C₅ and Q=C₂³.₂₈D₆

		d	ρ	Label	ID
C₅×C₂³.₂₈D₆		240		C5xC2^3.28D6	480,808

Semidirect products G=N:Q with N=C₅ and Q=C₂³.₂₈D₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(C₂³.₂₈D₆) = Dic₃⋊C₄⋊D₅	φ: C₂³.₂₈D₆/Dic₃⋊C₄ → C₂ ⊆ Aut C₅	240		C5:1(C2^3.28D6)	480,424
C₅⋊₂(C₂³.₂₈D₆) = D₆⋊C₄⋊D₅	φ: C₂³.₂₈D₆/D₆⋊C₄ → C₂ ⊆ Aut C₅	240		C5:2(C2^3.28D6)	480,523
C₅⋊₃(C₂³.₂₈D₆) = C₆.D₄⋊D₅	φ: C₂³.₂₈D₆/C₆.D₄ → C₂ ⊆ Aut C₅	240		C5:3(C2^3.28D6)	480,622
C₅⋊₄(C₂³.₂₈D₆) = C₃₀.(C₂×D₄)	φ: C₂³.₂₈D₆/C₂×C₃⋊D₄ → C₂ ⊆ Aut C₅	240		C5:4(C2^3.28D6)	480,615
C₅⋊₅(C₂³.₂₈D₆) = C₂³.₂₈D₃₀	φ: C₂³.₂₈D₆/C₂²×C₁₂ → C₂ ⊆ Aut C₅	240		C5:5(C2^3.28D6)	480,894

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