Extensions 1→N→G→Q→1 with N=C₃ and Q=C₄⋊F₅

Direct product G=N×Q with N=C₃ and Q=C₄⋊F₅

		d	ρ	Label	ID
C₃×C₄⋊F₅		60	4	C3xC4:F5	240,114

Semidirect products G=N:Q with N=C₃ and Q=C₄⋊F₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₄⋊F₅) = C₆₀⋊C₄	φ: C₄⋊F₅/C₄×D₅ → C₂ ⊆ Aut C₃	60	4	C3:1(C4:F5)	240,121
C₃⋊₂(C₄⋊F₅) = Dic₃⋊F₅	φ: C₄⋊F₅/C₂×F₅ → C₂ ⊆ Aut C₃	60	8-	C3:2(C4:F5)	240,97

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁