Extensions 1→N→G→Q→1 with N=C₅ and Q=C₂³.₁₄D₆

Direct product G=N×Q with N=C₅ and Q=C₂³.₁₄D₆

		d	ρ	Label	ID
C₅×C₂³.₁₄D₆		240		C5xC2^3.14D6	480,818

Semidirect products G=N:Q with N=C₅ and Q=C₂³.₁₄D₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(C₂³.₁₄D₆) = Dic₃⋊D₂₀	φ: C₂³.₁₄D₆/Dic₃⋊C₄ → C₂ ⊆ Aut C₅	240		C5:1(C2^3.14D6)	480,485
C₅⋊₂(C₂³.₁₄D₆) = Dic₁₅⋊D₄	φ: C₂³.₁₄D₆/D₆⋊C₄ → C₂ ⊆ Aut C₅	240		C5:2(C2^3.14D6)	480,484
C₅⋊₃(C₂³.₁₄D₆) = Dic₁₅⋊₃D₄	φ: C₂³.₁₄D₆/C₆.D₄ → C₂ ⊆ Aut C₅	240		C5:3(C2^3.14D6)	480,626
C₅⋊₄(C₂³.₁₄D₆) = (C₂×C₆)⋊D₂₀	φ: C₂³.₁₄D₆/C₂²×Dic₃ → C₂ ⊆ Aut C₅	240		C5:4(C2^3.14D6)	480,645
C₅⋊₅(C₂³.₁₄D₆) = (C₆×D₅)⋊D₄	φ: C₂³.₁₄D₆/C₂×C₃⋊D₄ → C₂ ⊆ Aut C₅	240		C5:5(C2^3.14D6)	480,625
C₅⋊₆(C₂³.₁₄D₆) = Dic₁₅⋊₁₈D₄	φ: C₂³.₁₄D₆/C₂×C₃⋊D₄ → C₂ ⊆ Aut C₅	240		C5:6(C2^3.14D6)	480,647
C₅⋊₇(C₂³.₁₄D₆) = Dic₁₅⋊₁₂D₄	φ: C₂³.₁₄D₆/C₆×D₄ → C₂ ⊆ Aut C₅	240		C5:7(C2^3.14D6)	480,904

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