Extensions 1→N→G→Q→1 with N=C₃ and Q=C₁₀×SD₁₆

Direct product G=N×Q with N=C₃ and Q=C₁₀×SD₁₆

		d	ρ	Label	ID
SD₁₆×C₃₀		240		SD16xC30	480,938

Semidirect products G=N:Q with N=C₃ and Q=C₁₀×SD₁₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₁₀×SD₁₆) = C₁₀×C₂₄⋊C₂	φ: C₁₀×SD₁₆/C₂×C₄₀ → C₂ ⊆ Aut C₃	240		C3:1(C10xSD16)	480,781
C₃⋊₂(C₁₀×SD₁₆) = C₅×S₃×SD₁₆	φ: C₁₀×SD₁₆/C₅×SD₁₆ → C₂ ⊆ Aut C₃	120	4	C3:2(C10xSD16)	480,792
C₃⋊₃(C₁₀×SD₁₆) = C₁₀×D₄.S₃	φ: C₁₀×SD₁₆/D₄×C₁₀ → C₂ ⊆ Aut C₃	240		C3:3(C10xSD16)	480,812
C₃⋊₄(C₁₀×SD₁₆) = C₁₀×Q₈⋊₂S₃	φ: C₁₀×SD₁₆/Q₈×C₁₀ → C₂ ⊆ Aut C₃	240		C3:4(C10xSD16)	480,820

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁