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

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

		d	ρ	Label	ID
C₃×D₄₀⋊C₂		120	4	C3xD40:C2	480,707

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(D₄₀⋊C₂) = C₂₄⋊D₁₀	φ: D₄₀⋊C₂/C₈⋊D₅ → C₂ ⊆ Aut C₃	120	4+	C3:1(D40:C2)	480,325
C₃⋊₂(D₄₀⋊C₂) = C₄₀⋊₈D₆	φ: D₄₀⋊C₂/D₄₀ → C₂ ⊆ Aut C₃	120	4	C3:2(D40:C2)	480,334
C₃⋊₃(D₄₀⋊C₂) = Dic₆⋊D₁₀	φ: D₄₀⋊C₂/D₄⋊D₅ → C₂ ⊆ Aut C₃	120	8+	C3:3(D40:C2)	480,574
C₃⋊₄(D₄₀⋊C₂) = D₆₀⋊C₂²	φ: D₄₀⋊C₂/Q₈⋊D₅ → C₂ ⊆ Aut C₃	120	8+	C3:4(D40:C2)	480,582
C₃⋊₅(D₄₀⋊C₂) = Q₈⋊₃D₃₀	φ: D₄₀⋊C₂/C₅×SD₁₆ → C₂ ⊆ Aut C₃	120	4+	C3:5(D40:C2)	480,879
C₃⋊₆(D₄₀⋊C₂) = D₂₀.₉D₆	φ: D₄₀⋊C₂/D₄×D₅ → C₂ ⊆ Aut C₃	120	8+	C3:6(D40:C2)	480,567
C₃⋊₇(D₄₀⋊C₂) = D₂₀⋊D₆	φ: D₄₀⋊C₂/Q₈⋊₂D₅ → C₂ ⊆ Aut C₃	120	8+	C3:7(D40:C2)	480,578

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