Extensions 1→N→G→Q→1 with N=C₃ and Q=C₅×SD₁₆

Direct product G=N×Q with N=C₃ and Q=C₅×SD₁₆

		d	ρ	Label	ID
C₁₅×SD₁₆		120	2	C15xSD16	240,87

Semidirect products G=N:Q with N=C₃ and Q=C₅×SD₁₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₅×SD₁₆) = C₅×C₂₄⋊C₂	φ: C₅×SD₁₆/C₄₀ → C₂ ⊆ Aut C₃	120	2	C3:1(C5xSD16)	240,51
C₃⋊₂(C₅×SD₁₆) = C₅×D₄.S₃	φ: C₅×SD₁₆/C₅×D₄ → C₂ ⊆ Aut C₃	120	4	C3:2(C5xSD16)	240,61
C₃⋊₃(C₅×SD₁₆) = C₅×Q₈⋊₂S₃	φ: C₅×SD₁₆/C₅×Q₈ → C₂ ⊆ Aut C₃	120	4	C3:3(C5xSD16)	240,62

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁