Extensions 1→N→G→Q→1 with N=C₅ and Q=C₂³.₉D₆

Direct product G=N×Q with N=C₅ and Q=C₂³.₉D₆

		d	ρ	Label	ID
C₅×C₂³.₉D₆		240		C5xC2^3.9D6	480,762

Semidirect products G=N:Q with N=C₅ and Q=C₂³.₉D₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(C₂³.₉D₆) = D₃₀.₃₄D₄	φ: C₂³.₉D₆/Dic₃⋊C₄ → C₂ ⊆ Aut C₅	240		C5:1(C2^3.9D6)	480,430
C₅⋊₂(C₂³.₉D₆) = D₃₀.D₄	φ: C₂³.₉D₆/C₄⋊Dic₃ → C₂ ⊆ Aut C₅	240		C5:2(C2^3.9D6)	480,432
C₅⋊₃(C₂³.₉D₆) = D₆.₉D₂₀	φ: C₂³.₉D₆/D₆⋊C₄ → C₂ ⊆ Aut C₅	240		C5:3(C2^3.9D6)	480,533
C₅⋊₄(C₂³.₉D₆) = D₃₀.₁₆D₄	φ: C₂³.₉D₆/C₆.D₄ → C₂ ⊆ Aut C₅	240		C5:4(C2^3.9D6)	480,638
C₅⋊₅(C₂³.₉D₆) = D₃₀.₂₈D₄	φ: C₂³.₉D₆/C₃×C₂²⋊C₄ → C₂ ⊆ Aut C₅	240		C5:5(C2^3.9D6)	480,848
C₅⋊₆(C₂³.₉D₆) = D₁₀⋊C₄⋊S₃	φ: C₂³.₉D₆/S₃×C₂×C₄ → C₂ ⊆ Aut C₅	240		C5:6(C2^3.9D6)	480,528
C₅⋊₇(C₂³.₉D₆) = (S₃×C₁₀).D₄	φ: C₂³.₉D₆/C₂×C₃⋊D₄ → C₂ ⊆ Aut C₅	240		C5:7(C2^3.9D6)	480,631

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