Extensions 1→N→G→Q→1 with N=C₃ and Q=Dic₅⋊Q₈

Direct product G=N×Q with N=C₃ and Q=Dic₅⋊Q₈

		d	ρ	Label	ID
C₃×Dic₅⋊Q₈		480		C3xDic5:Q8	480,737

Semidirect products G=N:Q with N=C₃ and Q=Dic₅⋊Q₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(Dic₅⋊Q₈) = Dic₅⋊Dic₆	φ: Dic₅⋊Q₈/C₄×Dic₅ → C₂ ⊆ Aut C₃	480		C3:1(Dic5:Q8)	480,452
C₃⋊₂(Dic₅⋊Q₈) = Dic₁₅⋊Q₈	φ: Dic₅⋊Q₈/C₁₀.D₄ → C₂ ⊆ Aut C₃	480		C3:2(Dic5:Q8)	480,405
C₃⋊₃(Dic₅⋊Q₈) = Dic₁₅⋊₈Q₈	φ: Dic₅⋊Q₈/C₂×Dic₁₀ → C₂ ⊆ Aut C₃	480		C3:3(Dic5:Q8)	480,461
C₃⋊₄(Dic₅⋊Q₈) = Dic₁₅⋊₄Q₈	φ: Dic₅⋊Q₈/Q₈×C₁₀ → C₂ ⊆ Aut C₃	480		C3:4(Dic5:Q8)	480,909

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁