Extensions 1→N→G→Q→1 with N=Dic₅ and Q=Dic₃

Direct product G=N×Q with N=Dic₅ and Q=Dic₃

		d	ρ	Label	ID
Dic₃×Dic₅		240		Dic3xDic5	240,25

Semidirect products G=N:Q with N=Dic₅ and Q=Dic₃

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₅⋊₁Dic₃ = C₃₀.Q₈	φ: Dic₃/C₆ → C₂ ⊆ Out Dic₅	240		Dic5:1Dic3	240,29
Dic₅⋊₂Dic₃ = C₄×C₃⋊F₅	φ: Dic₃/C₆ → C₂ ⊆ Out Dic₅	60	4	Dic5:2Dic3	240,120
Dic₅⋊₃Dic₃ = C₆₀⋊C₄	φ: Dic₃/C₆ → C₂ ⊆ Out Dic₅	60	4	Dic5:3Dic3	240,121

Non-split extensions G=N.Q with N=Dic₅ and Q=Dic₃

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₅.₁Dic₃ = C₂₀.₃₂D₆	φ: Dic₃/C₆ → C₂ ⊆ Out Dic₅	120	4	Dic5.1Dic3	240,10
Dic₅.₂Dic₃ = C₂×C₁₅⋊C₈	φ: Dic₃/C₆ → C₂ ⊆ Out Dic₅	240		Dic5.2Dic3	240,122
Dic₅.₃Dic₃ = C₁₅⋊₈M₄(2)	φ: Dic₃/C₆ → C₂ ⊆ Out Dic₅	120	4	Dic5.3Dic3	240,123
Dic₅.₄Dic₃ = D₅×C₃⋊C₈	φ: trivial image	120	4	Dic5.4Dic3	240,7

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