Extensions 1→N→G→Q→1 with N=C₃ and Q=D₄₀⋊₇C₂

Direct product G=N×Q with N=C₃ and Q=D₄₀⋊₇C₂

		d	ρ	Label	ID
C₃×D₄₀⋊₇C₂		240	2	C3xD40:7C2	480,697

Semidirect products G=N:Q with N=C₃ and Q=D₄₀⋊₇C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(D₄₀⋊₇C₂) = D₆.₁D₂₀	φ: D₄₀⋊₇C₂/C₄₀⋊C₂ → C₂ ⊆ Aut C₃	240	4	C3:1(D40:7C2)	480,348
C₃⋊₂(D₄₀⋊₇C₂) = D₄₀⋊₇S₃	φ: D₄₀⋊₇C₂/D₄₀ → C₂ ⊆ Aut C₃	240	4-	C3:2(D40:7C2)	480,349
C₃⋊₃(D₄₀⋊₇C₂) = D₁₂₀⋊₅C₂	φ: D₄₀⋊₇C₂/Dic₂₀ → C₂ ⊆ Aut C₃	240	4+	C3:3(D40:7C2)	480,351
C₃⋊₄(D₄₀⋊₇C₂) = C₄₀.₆₉D₆	φ: D₄₀⋊₇C₂/C₂×C₄₀ → C₂ ⊆ Aut C₃	240	2	C3:4(D40:7C2)	480,869
C₃⋊₅(D₄₀⋊₇C₂) = D₂₀.₃₁D₆	φ: D₄₀⋊₇C₂/C₄○D₂₀ → C₂ ⊆ Aut C₃	240	4	C3:5(D40:7C2)	480,387

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁