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

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

		d	ρ	Label	ID
C₃×C₂³.D₁₀		240		C3xC2^3.D10	480,672

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₂³.D₁₀) = C₅⋊(C₄²⋊₃S₃)	φ: C₂³.D₁₀/C₄×Dic₅ → C₂ ⊆ Aut C₃	240		C3:1(C2^3.D10)	480,448
C₃⋊₂(C₂³.D₁₀) = C₆₀⋊₅C₄⋊C₂	φ: C₂³.D₁₀/C₁₀.D₄ → C₂ ⊆ Aut C₃	240		C3:2(C2^3.D10)	480,418
C₃⋊₃(C₂³.D₁₀) = D₆⋊Dic₅.C₂	φ: C₂³.D₁₀/C₁₀.D₄ → C₂ ⊆ Aut C₃	240		C3:3(C2^3.D10)	480,443
C₃⋊₄(C₂³.D₁₀) = D₆⋊C₄.D₅	φ: C₂³.D₁₀/C₄⋊Dic₅ → C₂ ⊆ Aut C₃	240		C3:4(C2^3.D10)	480,417
C₃⋊₅(C₂³.D₁₀) = C₂³.₁₃(S₃×D₅)	φ: C₂³.D₁₀/C₂³.D₅ → C₂ ⊆ Aut C₃	240		C3:5(C2^3.D10)	480,606
C₃⋊₆(C₂³.D₁₀) = C₂³.₁₄(S₃×D₅)	φ: C₂³.D₁₀/C₂³.D₅ → C₂ ⊆ Aut C₃	240		C3:6(C2^3.D10)	480,607
C₃⋊₇(C₂³.D₁₀) = C₂³.₈D₃₀	φ: C₂³.D₁₀/C₅×C₂²⋊C₄ → C₂ ⊆ Aut C₃	240		C3:7(C2^3.D10)	480,844

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁