Extensions 1→N→G→Q→1 with N=C₅ and Q=C₂×C₄⋊Dic₃

Direct product G=N×Q with N=C₅ and Q=C₂×C₄⋊Dic₃

		d	ρ	Label	ID
C₁₀×C₄⋊Dic₃		480		C10xC4:Dic3	480,804

Semidirect products G=N:Q with N=C₅ and Q=C₂×C₄⋊Dic₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊(C₂×C₄⋊Dic₃) = C₂×C₆₀⋊C₄	φ: C₂×C₄⋊Dic₃/C₂×C₁₂ → C₄ ⊆ Aut C₅	120		C5:(C2xC4:Dic3)	480,1064
C₅⋊₂(C₂×C₄⋊Dic₃) = D₅×C₄⋊Dic₃	φ: C₂×C₄⋊Dic₃/C₄⋊Dic₃ → C₂ ⊆ Aut C₅	240		C5:2(C2xC4:Dic3)	480,488
C₅⋊₃(C₂×C₄⋊Dic₃) = C₂×C₃₀.Q₈	φ: C₂×C₄⋊Dic₃/C₂²×Dic₃ → C₂ ⊆ Aut C₅	480		C5:3(C2xC4:Dic3)	480,617
C₅⋊₄(C₂×C₄⋊Dic₃) = C₂×C₆₀⋊₅C₄	φ: C₂×C₄⋊Dic₃/C₂²×C₁₂ → C₂ ⊆ Aut C₅	480		C5:4(C2xC4:Dic3)	480,890

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁