Extensions 1→N→G→Q→1 with N=C₅ and Q=Dic₃⋊₅D₄

Direct product G=N×Q with N=C₅ and Q=Dic₃⋊₅D₄

		d	ρ	Label	ID
C₅×Dic₃⋊₅D₄		240		C5xDic3:5D4	480,772

Semidirect products G=N:Q with N=C₅ and Q=Dic₃⋊₅D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊(Dic₃⋊₅D₄) = D₆₀⋊₃C₄	φ: Dic₃⋊₅D₄/D₁₂ → C₄ ⊆ Aut C₅	60	8+	C5:(Dic3:5D4)	480,997
C₅⋊₂(Dic₃⋊₅D₄) = D₆₀⋊₁₄C₄	φ: Dic₃⋊₅D₄/C₄×Dic₃ → C₂ ⊆ Aut C₅	240		C5:2(Dic3:5D4)	480,504
C₅⋊₃(Dic₃⋊₅D₄) = Dic₁₅⋊₁₄D₄	φ: Dic₃⋊₅D₄/D₆⋊C₄ → C₂ ⊆ Aut C₅	240		C5:3(Dic3:5D4)	480,482
C₅⋊₄(Dic₃⋊₅D₄) = D₆₀⋊₁₁C₄	φ: Dic₃⋊₅D₄/C₃×C₄⋊C₄ → C₂ ⊆ Aut C₅	240		C5:4(Dic3:5D4)	480,858
C₅⋊₅(Dic₃⋊₅D₄) = C₁₅⋊₂₂(C₄×D₄)	φ: Dic₃⋊₅D₄/S₃×C₂×C₄ → C₂ ⊆ Aut C₅	240		C5:5(Dic3:5D4)	480,522
C₅⋊₆(Dic₃⋊₅D₄) = Dic₁₅⋊₈D₄	φ: Dic₃⋊₅D₄/C₂×D₁₂ → C₂ ⊆ Aut C₅	240		C5:6(Dic3:5D4)	480,511

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