Extensions 1→N→G→Q→1 with N=C₅ and Q=D₄.Dic₃

Direct product G=N×Q with N=C₅ and Q=D₄.Dic₃

		d	ρ	Label	ID
C₅×D₄.Dic₃		240	4	C5xD4.Dic3	480,827

Semidirect products G=N:Q with N=C₅ and Q=D₄.Dic₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(D₄.Dic₃) = Dic₁₀.Dic₃	φ: D₄.Dic₃/C₃×D₄ → C₄ ⊆ Aut C₅	240	8	C5:1(D4.Dic3)	480,1066
C₅⋊₂(D₄.Dic₃) = D₂₀.Dic₃	φ: D₄.Dic₃/C₃×Q₈ → C₄ ⊆ Aut C₅	240	8	C5:2(D4.Dic3)	480,1068
C₅⋊₃(D₄.Dic₃) = D₂₀.₃Dic₃	φ: D₄.Dic₃/C₂×C₃⋊C₈ → C₂ ⊆ Aut C₅	240	4	C5:3(D4.Dic3)	480,359
C₅⋊₄(D₄.Dic₃) = D₂₀.₂Dic₃	φ: D₄.Dic₃/C₄.Dic₃ → C₂ ⊆ Aut C₅	240	4	C5:4(D4.Dic3)	480,360
C₅⋊₅(D₄.Dic₃) = D₄.Dic₁₅	φ: D₄.Dic₃/C₃×C₄○D₄ → C₂ ⊆ Aut C₅	240	4	C5:5(D4.Dic3)	480,913

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