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

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

		d	ρ	Label	ID
C₃×Dic₅⋊D₄		240		C3xDic5:D4	480,732

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(Dic₅⋊D₄) = Dic₅⋊D₁₂	φ: Dic₅⋊D₄/C₁₀.D₄ → C₂ ⊆ Aut C₃	240		C3:1(Dic5:D4)	480,492
C₃⋊₂(Dic₅⋊D₄) = Dic₁₅⋊₂D₄	φ: Dic₅⋊D₄/D₁₀⋊C₄ → C₂ ⊆ Aut C₃	240		C3:2(Dic5:D4)	480,529
C₃⋊₃(Dic₅⋊D₄) = Dic₁₅⋊₄D₄	φ: Dic₅⋊D₄/C₂³.D₅ → C₂ ⊆ Aut C₃	240		C3:3(Dic5:D4)	480,634
C₃⋊₄(Dic₅⋊D₄) = (C₂×C₁₀)⋊₄D₁₂	φ: Dic₅⋊D₄/C₂²×Dic₅ → C₂ ⊆ Aut C₃	240		C3:4(Dic5:D4)	480,642
C₃⋊₅(Dic₅⋊D₄) = (S₃×C₁₀)⋊D₄	φ: Dic₅⋊D₄/C₂×C₅⋊D₄ → C₂ ⊆ Aut C₃	240		C3:5(Dic5:D4)	480,641
C₃⋊₆(Dic₅⋊D₄) = Dic₁₅⋊₁₈D₄	φ: Dic₅⋊D₄/C₂×C₅⋊D₄ → C₂ ⊆ Aut C₃	240		C3:6(Dic5:D4)	480,647
C₃⋊₇(Dic₅⋊D₄) = Dic₁₅⋊₁₂D₄	φ: Dic₅⋊D₄/D₄×C₁₀ → C₂ ⊆ Aut C₃	240		C3:7(Dic5:D4)	480,904

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁