Extensions 1→N→G→Q→1 with N=C₃ and Q=Dic₅⋊₄D₄

Direct product G=N×Q with N=C₃ and Q=Dic₅⋊₄D₄

		d	ρ	Label	ID
C₃×Dic₅⋊₄D₄		240		C3xDic5:4D4	480,674

Semidirect products G=N:Q with N=C₃ and Q=Dic₅⋊₄D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(Dic₅⋊₄D₄) = Dic₅⋊₄D₁₂	φ: Dic₅⋊₄D₄/C₄×Dic₅ → C₂ ⊆ Aut C₃	240		C3:1(Dic5:4D4)	480,481
C₃⋊₂(Dic₅⋊₄D₄) = Dic₁₅⋊₁₄D₄	φ: Dic₅⋊₄D₄/C₁₀.D₄ → C₂ ⊆ Aut C₃	240		C3:2(Dic5:4D4)	480,482
C₃⋊₃(Dic₅⋊₄D₄) = Dic₁₅⋊₉D₄	φ: Dic₅⋊₄D₄/D₁₀⋊C₄ → C₂ ⊆ Aut C₃	240		C3:3(Dic5:4D4)	480,518
C₃⋊₄(Dic₅⋊₄D₄) = Dic₁₅⋊₁₉D₄	φ: Dic₅⋊₄D₄/C₅×C₂²⋊C₄ → C₂ ⊆ Aut C₃	240		C3:4(Dic5:4D4)	480,846
C₃⋊₅(Dic₅⋊₄D₄) = D₆⋊(C₄×D₅)	φ: Dic₅⋊₄D₄/C₂×C₄×D₅ → C₂ ⊆ Aut C₃	240		C3:5(Dic5:4D4)	480,516
C₃⋊₆(Dic₅⋊₄D₄) = C₁₅⋊₂₆(C₄×D₄)	φ: Dic₅⋊₄D₄/C₂²×Dic₅ → C₂ ⊆ Aut C₃	240		C3:6(Dic5:4D4)	480,628
C₃⋊₇(Dic₅⋊₄D₄) = Dic₁₅⋊₁₆D₄	φ: Dic₅⋊₄D₄/C₂×C₅⋊D₄ → C₂ ⊆ Aut C₃	240		C3:7(Dic5:4D4)	480,635

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