Extensions 1→N→G→Q→1 with N=C₅ and Q=Dic₃⋊C₄

Direct product G=N×Q with N=C₅ and Q=Dic₃⋊C₄

		d	ρ	Label	ID
C₅×Dic₃⋊C₄		240		C5xDic3:C4	240,57

Semidirect products G=N:Q with N=C₅ and Q=Dic₃⋊C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊(Dic₃⋊C₄) = Dic₃⋊F₅	φ: Dic₃⋊C₄/Dic₃ → C₄ ⊆ Aut C₅	60	8-	C5:(Dic3:C4)	240,97
C₅⋊₂(Dic₃⋊C₄) = Dic₁₅⋊₅C₄	φ: Dic₃⋊C₄/C₂×Dic₃ → C₂ ⊆ Aut C₅	240		C5:2(Dic3:C4)	240,30
C₅⋊₃(Dic₃⋊C₄) = C₆.Dic₁₀	φ: Dic₃⋊C₄/C₂×Dic₃ → C₂ ⊆ Aut C₅	240		C5:3(Dic3:C4)	240,31
C₅⋊₄(Dic₃⋊C₄) = C₃₀.₄Q₈	φ: Dic₃⋊C₄/C₂×C₁₂ → C₂ ⊆ Aut C₅	240		C5:4(Dic3:C4)	240,73

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