Extensions 1→N→G→Q→1 with N=Dic₁₀ and Q=C₁₂

Direct product G=N×Q with N=Dic₁₀ and Q=C₁₂

		d	ρ	Label	ID
C₁₂×Dic₁₀		480		C12xDic10	480,661

Semidirect products G=N:Q with N=Dic₁₀ and Q=C₁₂

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₁₀⋊₁C₁₂ = C₃×D₄⋊F₅	φ: C₁₂/C₃ → C₄ ⊆ Out Dic₁₀	120	8	Dic10:1C12	480,288
Dic₁₀⋊₂C₁₂ = C₃×Q₈⋊F₅	φ: C₁₂/C₃ → C₄ ⊆ Out Dic₁₀	120	8	Dic10:2C12	480,289
Dic₁₀⋊₃C₁₂ = C₃×Q₈×F₅	φ: C₁₂/C₃ → C₄ ⊆ Out Dic₁₀	120	8	Dic10:3C12	480,1056
Dic₁₀⋊₄C₁₂ = C₃×D₂₀⋊₄C₄	φ: C₁₂/C₆ → C₂ ⊆ Out Dic₁₀	120	2	Dic10:4C12	480,83
Dic₁₀⋊₅C₁₂ = C₃×C₂₀.₄₄D₄	φ: C₁₂/C₆ → C₂ ⊆ Out Dic₁₀	480		Dic10:5C12	480,94
Dic₁₀⋊₆C₁₂ = C₃×C₁₀.Q₁₆	φ: C₁₂/C₆ → C₂ ⊆ Out Dic₁₀	480		Dic10:6C12	480,88
Dic₁₀⋊₇C₁₂ = C₃×D₂₀⋊₇C₄	φ: C₁₂/C₆ → C₂ ⊆ Out Dic₁₀	120	4	Dic10:7C12	480,103
Dic₁₀⋊₈C₁₂ = C₃×Dic₅⋊₃Q₈	φ: C₁₂/C₆ → C₂ ⊆ Out Dic₁₀	480		Dic10:8C12	480,680

Non-split extensions G=N.Q with N=Dic₁₀ and Q=C₁₂

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₁₀.C₁₂ = C₃×D₄.F₅	φ: C₁₂/C₃ → C₄ ⊆ Out Dic₁₀	240	8	Dic10.C12	480,1053
Dic₁₀.₂C₁₂ = C₃×D₂₀.₂C₄	φ: C₁₂/C₆ → C₂ ⊆ Out Dic₁₀	240	4	Dic10.2C12	480,700
Dic₁₀.₃C₁₂ = C₃×D₂₀.₃C₄	φ: trivial image	240	2	Dic10.3C12	480,694

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