Extensions 1→N→G→Q→1 with N=Dic₁₀ and Q=C₆

Direct product G=N×Q with N=Dic₁₀ and Q=C₆

		d	ρ	Label	ID
C₆×Dic₁₀		240		C6xDic10	240,155

Semidirect products G=N:Q with N=Dic₁₀ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₁₀⋊₁C₆ = C₃×C₄₀⋊C₂	φ: C₆/C₃ → C₂ ⊆ Out Dic₁₀	120	2	Dic10:1C6	240,35
Dic₁₀⋊₂C₆ = C₃×D₄.D₅	φ: C₆/C₃ → C₂ ⊆ Out Dic₁₀	120	4	Dic10:2C6	240,45
Dic₁₀⋊₃C₆ = C₃×D₄⋊₂D₅	φ: C₆/C₃ → C₂ ⊆ Out Dic₁₀	120	4	Dic10:3C6	240,160
Dic₁₀⋊₄C₆ = C₃×Q₈×D₅	φ: C₆/C₃ → C₂ ⊆ Out Dic₁₀	120	4	Dic10:4C6	240,161
Dic₁₀⋊₅C₆ = C₃×C₄○D₂₀	φ: trivial image	120	2	Dic10:5C6	240,158

Non-split extensions G=N.Q with N=Dic₁₀ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₁₀.₁C₆ = C₃×Dic₂₀	φ: C₆/C₃ → C₂ ⊆ Out Dic₁₀	240	2	Dic10.1C6	240,37
Dic₁₀.₂C₆ = C₃×C₅⋊Q₁₆	φ: C₆/C₃ → C₂ ⊆ Out Dic₁₀	240	4	Dic10.2C6	240,47

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