Extensions 1→N→G→Q→1 with N=C₃ and Q=C₂³.D₅

Direct product G=N×Q with N=C₃ and Q=C₂³.D₅

		d	ρ	Label	ID
C₃×C₂³.D₅		120		C3xC2^3.D5	240,48

Semidirect products G=N:Q with N=C₃ and Q=C₂³.D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₂³.D₅) = D₆⋊Dic₅	φ: C₂³.D₅/C₂×Dic₅ → C₂ ⊆ Aut C₃	120		C3:1(C2^3.D5)	240,27
C₃⋊₂(C₂³.D₅) = C₃₀.₃₈D₄	φ: C₂³.D₅/C₂²×C₁₀ → C₂ ⊆ Aut C₃	120		C3:2(C2^3.D5)	240,80

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁