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

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

		d	ρ	Label	ID
C₅×Dic₃⋊D₄		240		C5xDic3:D4	480,763

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(Dic₃⋊D₄) = D₃₀⋊₂D₄	φ: Dic₃⋊D₄/Dic₃⋊C₄ → C₂ ⊆ Aut C₅	240		C5:1(Dic3:D4)	480,535
C₅⋊₂(Dic₃⋊D₄) = D₃₀⋊₁₂D₄	φ: Dic₃⋊D₄/D₆⋊C₄ → C₂ ⊆ Aut C₅	240		C5:2(Dic3:D4)	480,537
C₅⋊₃(Dic₃⋊D₄) = D₃₀⋊₉D₄	φ: Dic₃⋊D₄/C₃×C₂²⋊C₄ → C₂ ⊆ Aut C₅	240		C5:3(Dic3:D4)	480,849
C₅⋊₄(Dic₃⋊D₄) = D₆⋊D₂₀	φ: Dic₃⋊D₄/S₃×C₂×C₄ → C₂ ⊆ Aut C₅	240		C5:4(Dic3:D4)	480,530
C₅⋊₅(Dic₃⋊D₄) = Dic₁₅⋊₂D₄	φ: Dic₃⋊D₄/C₂×D₁₂ → C₂ ⊆ Aut C₅	240		C5:5(Dic3:D4)	480,529
C₅⋊₆(Dic₃⋊D₄) = D₃₀⋊₇D₄	φ: Dic₃⋊D₄/C₂×C₃⋊D₄ → C₂ ⊆ Aut C₅	240		C5:6(Dic3:D4)	480,633
C₅⋊₇(Dic₃⋊D₄) = Dic₁₅⋊₄D₄	φ: Dic₃⋊D₄/C₂×C₃⋊D₄ → C₂ ⊆ Aut C₅	240		C5:7(Dic3:D4)	480,634

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁