Extensions 1→N→G→Q→1 with N=Dic₅ and Q=C₃⋊C₈

Direct product G=N×Q with N=Dic₅ and Q=C₃⋊C₈

		d	ρ	Label	ID
Dic₅×C₃⋊C₈		480		Dic5xC3:C8	480,25

Semidirect products G=N:Q with N=Dic₅ and Q=C₃⋊C₈

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₅⋊₁(C₃⋊C₈) = C₆₀.₁₃Q₈	φ: C₃⋊C₈/C₁₂ → C₂ ⊆ Out Dic₅	480		Dic5:1(C3:C8)	480,58
Dic₅⋊₂(C₃⋊C₈) = C₄×C₁₅⋊C₈	φ: C₃⋊C₈/C₁₂ → C₂ ⊆ Out Dic₅	480		Dic5:2(C3:C8)	480,305
Dic₅⋊₃(C₃⋊C₈) = Dic₅.₁₃D₁₂	φ: C₃⋊C₈/C₁₂ → C₂ ⊆ Out Dic₅	480		Dic5:3(C3:C8)	480,309

Non-split extensions G=N.Q with N=Dic₅ and Q=C₃⋊C₈

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₅.₁(C₃⋊C₈) = C₄₀.₅₁D₆	φ: C₃⋊C₈/C₁₂ → C₂ ⊆ Out Dic₅	240	4	Dic5.1(C3:C8)	480,10
Dic₅.₂(C₃⋊C₈) = C₂₄.F₅	φ: C₃⋊C₈/C₁₂ → C₂ ⊆ Out Dic₅	240	4	Dic5.2(C3:C8)	480,294
Dic₅.₃(C₃⋊C₈) = C₁₂₀.C₄	φ: C₃⋊C₈/C₁₂ → C₂ ⊆ Out Dic₅	240	4	Dic5.3(C3:C8)	480,295
Dic₅.₄(C₃⋊C₈) = D₅×C₃⋊C₁₆	φ: trivial image	240	4	Dic5.4(C3:C8)	480,7

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