Extensions 1→N→G→Q→1 with N=C₄₀ and Q=C₆

Direct product G=N×Q with N=C₄₀ and Q=C₆

		d	ρ	Label	ID
C₂×C₁₂₀		240		C2xC120	240,84

Semidirect products G=N:Q with N=C₄₀ and Q=C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄₀⋊₁C₆ = C₃×D₄₀	φ: C₆/C₃ → C₂ ⊆ Aut C₄₀	120	2	C40:1C6	240,36
C₄₀⋊₂C₆ = C₃×C₄₀⋊C₂	φ: C₆/C₃ → C₂ ⊆ Aut C₄₀	120	2	C40:2C6	240,35
C₄₀⋊₃C₆ = D₅×C₂₄	φ: C₆/C₃ → C₂ ⊆ Aut C₄₀	120	2	C40:3C6	240,33
C₄₀⋊₄C₆ = C₃×C₈⋊D₅	φ: C₆/C₃ → C₂ ⊆ Aut C₄₀	120	2	C40:4C6	240,34
C₄₀⋊₅C₆ = C₁₅×D₈	φ: C₆/C₃ → C₂ ⊆ Aut C₄₀	120	2	C40:5C6	240,86
C₄₀⋊₆C₆ = C₁₅×SD₁₆	φ: C₆/C₃ → C₂ ⊆ Aut C₄₀	120	2	C40:6C6	240,87
C₄₀⋊₇C₆ = C₁₅×M₄(2)	φ: C₆/C₃ → C₂ ⊆ Aut C₄₀	120	2	C40:7C6	240,85

Non-split extensions G=N.Q with N=C₄₀ and Q=C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄₀.₁C₆ = C₃×Dic₂₀	φ: C₆/C₃ → C₂ ⊆ Aut C₄₀	240	2	C40.1C6	240,37
C₄₀.₂C₆ = C₃×C₅⋊₂C₁₆	φ: C₆/C₃ → C₂ ⊆ Aut C₄₀	240	2	C40.2C6	240,2
C₄₀.₃C₆ = C₁₅×Q₁₆	φ: C₆/C₃ → C₂ ⊆ Aut C₄₀	240	2	C40.3C6	240,88

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