Extensions 1→N→G→Q→1 with N=C₃ and Q=C₁₀.Q₁₆

Direct product G=N×Q with N=C₃ and Q=C₁₀.Q₁₆

		d	ρ	Label	ID
C₃×C₁₀.Q₁₆		480		C3xC10.Q16	480,88

Semidirect products G=N:Q with N=C₃ and Q=C₁₀.Q₁₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₁₀.Q₁₆) = Dic₃₀⋊₁₅C₄	φ: C₁₀.Q₁₆/C₂×C₅⋊₂C₈ → C₂ ⊆ Aut C₃	480		C3:1(C10.Q16)	480,51
C₃⋊₂(C₁₀.Q₁₆) = Dic₃₀⋊₉C₄	φ: C₁₀.Q₁₆/C₅×C₄⋊C₄ → C₂ ⊆ Aut C₃	480		C3:2(C10.Q16)	480,170
C₃⋊₃(C₁₀.Q₁₆) = C₃₀.Q₁₆	φ: C₁₀.Q₁₆/C₂×Dic₁₀ → C₂ ⊆ Aut C₃	480		C3:3(C10.Q16)	480,46

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁