Extensions 1→N→G→Q→1 with N=C₃ and Q=C₅⋊Q₁₆

Direct product G=N×Q with N=C₃ and Q=C₅⋊Q₁₆

		d	ρ	Label	ID
C₃×C₅⋊Q₁₆		240	4	C3xC5:Q16	240,47

Semidirect products G=N:Q with N=C₃ and Q=C₅⋊Q₁₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₅⋊Q₁₆) = C₅⋊Dic₁₂	φ: C₅⋊Q₁₆/C₅⋊₂C₈ → C₂ ⊆ Aut C₃	240	4-	C3:1(C5:Q16)	240,24
C₃⋊₂(C₅⋊Q₁₆) = C₁₅⋊Q₁₆	φ: C₅⋊Q₁₆/Dic₁₀ → C₂ ⊆ Aut C₃	240	4	C3:2(C5:Q16)	240,22
C₃⋊₃(C₅⋊Q₁₆) = C₁₅⋊₇Q₁₆	φ: C₅⋊Q₁₆/C₅×Q₈ → C₂ ⊆ Aut C₃	240	4-	C3:3(C5:Q16)	240,79

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁