Extensions 1→N→G→Q→1 with N=C₃ and Q=Dic₅.₁₄D₄

Direct product G=N×Q with N=C₃ and Q=Dic₅.₁₄D₄

		d	ρ	Label	ID
C₃×Dic₅.₁₄D₄		240		C3xDic5.14D4	480,671

Semidirect products G=N:Q with N=C₃ and Q=Dic₅.₁₄D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(Dic₅.₁₄D₄) = D₆⋊₂Dic₁₀	φ: Dic₅.₁₄D₄/C₁₀.D₄ → C₂ ⊆ Aut C₃	240		C3:1(Dic5.14D4)	480,493
C₃⋊₂(Dic₅.₁₄D₄) = D₆⋊₃Dic₁₀	φ: Dic₅.₁₄D₄/C₁₀.D₄ → C₂ ⊆ Aut C₃	240		C3:2(Dic5.14D4)	480,508
C₃⋊₃(Dic₅.₁₄D₄) = D₆⋊₄Dic₁₀	φ: Dic₅.₁₄D₄/C₄⋊Dic₅ → C₂ ⊆ Aut C₃	240		C3:3(Dic5.14D4)	480,512
C₃⋊₄(Dic₅.₁₄D₄) = Dic₁₅.₄₈D₄	φ: Dic₅.₁₄D₄/C₂³.D₅ → C₂ ⊆ Aut C₃	240		C3:4(Dic5.14D4)	480,652
C₃⋊₅(Dic₅.₁₄D₄) = C₂²⋊₂Dic₃₀	φ: Dic₅.₁₄D₄/C₅×C₂²⋊C₄ → C₂ ⊆ Aut C₃	240		C3:5(Dic5.14D4)	480,843
C₃⋊₆(Dic₅.₁₄D₄) = D₆⋊₁Dic₁₀	φ: Dic₅.₁₄D₄/C₂×Dic₁₀ → C₂ ⊆ Aut C₃	240		C3:6(Dic5.14D4)	480,486
C₃⋊₇(Dic₅.₁₄D₄) = (C₂×C₃₀)⋊Q₈	φ: Dic₅.₁₄D₄/C₂²×Dic₅ → C₂ ⊆ Aut C₃	240		C3:7(Dic5.14D4)	480,650

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