Extensions 1→N→G→Q→1 with N=Dic₁₀ and Q=Dic₃

Direct product G=N×Q with N=Dic₁₀ and Q=Dic₃

		d	ρ	Label	ID
Dic₃×Dic₁₀		480		Dic3xDic10	480,406

Semidirect products G=N:Q with N=Dic₁₀ and Q=Dic₃

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₁₀⋊₁Dic₃ = Dic₁₀⋊Dic₃	φ: Dic₃/C₃ → C₄ ⊆ Out Dic₁₀	120	8	Dic10:1Dic3	480,313
Dic₁₀⋊₂Dic₃ = Dic₁₀⋊₂Dic₃	φ: Dic₃/C₃ → C₄ ⊆ Out Dic₁₀	120	8	Dic10:2Dic3	480,314
Dic₁₀⋊₃Dic₃ = Q₈×C₃⋊F₅	φ: Dic₃/C₃ → C₄ ⊆ Out Dic₁₀	120	8	Dic10:3Dic3	480,1069
Dic₁₀⋊₄Dic₃ = C₆.Dic₂₀	φ: Dic₃/C₆ → C₂ ⊆ Out Dic₁₀	480		Dic10:4Dic3	480,47
Dic₁₀⋊₅Dic₃ = C₆₀.₉₇D₄	φ: Dic₃/C₆ → C₂ ⊆ Out Dic₁₀	120	4	Dic10:5Dic3	480,53
Dic₁₀⋊₆Dic₃ = C₃₀.Q₁₆	φ: Dic₃/C₆ → C₂ ⊆ Out Dic₁₀	480		Dic10:6Dic3	480,46
Dic₁₀⋊₇Dic₃ = C₆₀.₉₆D₄	φ: Dic₃/C₆ → C₂ ⊆ Out Dic₁₀	120	4	Dic10:7Dic3	480,52
Dic₁₀⋊₈Dic₃ = Dic₁₅⋊₆Q₈	φ: Dic₃/C₆ → C₂ ⊆ Out Dic₁₀	480		Dic10:8Dic3	480,407

Non-split extensions G=N.Q with N=Dic₁₀ and Q=Dic₃

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₁₀.Dic₃ = Dic₁₀.Dic₃	φ: Dic₃/C₃ → C₄ ⊆ Out Dic₁₀	240	8	Dic10.Dic3	480,1066
Dic₁₀.₂Dic₃ = D₂₀.₂Dic₃	φ: Dic₃/C₆ → C₂ ⊆ Out Dic₁₀	240	4	Dic10.2Dic3	480,360
Dic₁₀.₃Dic₃ = D₂₀.₃Dic₃	φ: trivial image	240	4	Dic10.3Dic3	480,359

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