Extensions 1→N→G→Q→1 with N=C₃ and Q=C₄⋊Dic₅

Direct product G=N×Q with N=C₃ and Q=C₄⋊Dic₅

		d	ρ	Label	ID
C₃×C₄⋊Dic₅		240		C3xC4:Dic5	240,42

Semidirect products G=N:Q with N=C₃ and Q=C₄⋊Dic₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₄⋊Dic₅) = C₆.Dic₁₀	φ: C₄⋊Dic₅/C₂×Dic₅ → C₂ ⊆ Aut C₃	240		C3:1(C4:Dic5)	240,31
C₃⋊₂(C₄⋊Dic₅) = C₆₀⋊₅C₄	φ: C₄⋊Dic₅/C₂×C₂₀ → C₂ ⊆ Aut C₃	240		C3:2(C4:Dic5)	240,74

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁