Extensions 1→N→G→Q→1 with N=C₃ and Q=C₂³.₂₁D₁₀

Direct product G=N×Q with N=C₃ and Q=C₂³.₂₁D₁₀

		d	ρ	Label	ID
C₃×C₂³.₂₁D₁₀		240		C3xC2^3.21D10	480,719

Semidirect products G=N:Q with N=C₃ and Q=C₂³.₂₁D₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₂³.₂₁D₁₀) = (S₃×C₂₀)⋊₇C₄	φ: C₂³.₂₁D₁₀/C₄×Dic₅ → C₂ ⊆ Aut C₃	240		C3:1(C2^3.21D10)	480,447
C₃⋊₂(C₂³.₂₁D₁₀) = (S₃×C₂₀)⋊₅C₄	φ: C₂³.₂₁D₁₀/C₄⋊Dic₅ → C₂ ⊆ Aut C₃	240		C3:2(C2^3.21D10)	480,414
C₃⋊₃(C₂³.₂₁D₁₀) = C₂³.₂₆(S₃×D₅)	φ: C₂³.₂₁D₁₀/C₂³.D₅ → C₂ ⊆ Aut C₃	240		C3:3(C2^3.21D10)	480,605
C₃⋊₄(C₂³.₂₁D₁₀) = C₂³.₂₆D₃₀	φ: C₂³.₂₁D₁₀/C₂²×C₂₀ → C₂ ⊆ Aut C₃	240		C3:4(C2^3.21D10)	480,891

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁