Extensions 1→N→G→Q→1 with N=C₃ and Q=D₅×SD₁₆

Direct product G=N×Q with N=C₃ and Q=D₅×SD₁₆

		d	ρ	Label	ID
C₃×D₅×SD₁₆		120	4	C3xD5xSD16	480,706

Semidirect products G=N:Q with N=C₃ and Q=D₅×SD₁₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(D₅×SD₁₆) = D₅×C₂₄⋊C₂	φ: D₅×SD₁₆/C₈×D₅ → C₂ ⊆ Aut C₃	120	4	C3:1(D5xSD16)	480,323
C₃⋊₂(D₅×SD₁₆) = C₄₀⋊₁₄D₆	φ: D₅×SD₁₆/C₄₀⋊C₂ → C₂ ⊆ Aut C₃	120	4	C3:2(D5xSD16)	480,331
C₃⋊₃(D₅×SD₁₆) = Dic₁₀⋊D₆	φ: D₅×SD₁₆/D₄.D₅ → C₂ ⊆ Aut C₃	120	8+	C3:3(D5xSD16)	480,563
C₃⋊₄(D₅×SD₁₆) = D₁₅⋊SD₁₆	φ: D₅×SD₁₆/Q₈⋊D₅ → C₂ ⊆ Aut C₃	120	8-	C3:4(D5xSD16)	480,581
C₃⋊₅(D₅×SD₁₆) = SD₁₆×D₁₅	φ: D₅×SD₁₆/C₅×SD₁₆ → C₂ ⊆ Aut C₃	120	4	C3:5(D5xSD16)	480,878
C₃⋊₆(D₅×SD₁₆) = D₅×D₄.S₃	φ: D₅×SD₁₆/D₄×D₅ → C₂ ⊆ Aut C₃	120	8-	C3:6(D5xSD16)	480,559
C₃⋊₇(D₅×SD₁₆) = D₅×Q₈⋊₂S₃	φ: D₅×SD₁₆/Q₈×D₅ → C₂ ⊆ Aut C₃	120	8+	C3:7(D5xSD16)	480,577

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