Extensions 1→N→G→Q→1 with N=Dic₅ and Q=C₃×Q₈

Direct product G=N×Q with N=Dic₅ and Q=C₃×Q₈

		d	ρ	Label	ID
C₃×Q₈×Dic₅		480		C3xQ8xDic5	480,738

Semidirect products G=N:Q with N=Dic₅ and Q=C₃×Q₈

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₅⋊₁(C₃×Q₈) = C₃×C₂₀⋊Q₈	φ: C₃×Q₈/C₁₂ → C₂ ⊆ Out Dic₅	480		Dic5:1(C3xQ8)	480,681
Dic₅⋊₂(C₃×Q₈) = C₃×Dic₅⋊Q₈	φ: C₃×Q₈/C₁₂ → C₂ ⊆ Out Dic₅	480		Dic5:2(C3xQ8)	480,737
Dic₅⋊₃(C₃×Q₈) = C₃×Dic₅⋊₃Q₈	φ: trivial image	480		Dic5:3(C3xQ8)	480,680

Non-split extensions G=N.Q with N=Dic₅ and Q=C₃×Q₈

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₅.₁(C₃×Q₈) = C₃×Dic₅.Q₈	φ: C₃×Q₈/C₁₂ → C₂ ⊆ Out Dic₅	480		Dic5.1(C3xQ8)	480,682
Dic₅.₂(C₃×Q₈) = C₃×C₄₀⋊C₄	φ: C₃×Q₈/C₁₂ → C₂ ⊆ Out Dic₅	120	4	Dic5.2(C3xQ8)	480,273
Dic₅.₃(C₃×Q₈) = C₃×D₅.D₈	φ: C₃×Q₈/C₁₂ → C₂ ⊆ Out Dic₅	120	4	Dic5.3(C3xQ8)	480,274
Dic₅.₄(C₃×Q₈) = C₃×C₂₀⋊C₈	φ: C₃×Q₈/C₁₂ → C₂ ⊆ Out Dic₅	480		Dic5.4(C3xQ8)	480,281
Dic₅.₅(C₃×Q₈) = C₃×Dic₅⋊C₈	φ: C₃×Q₈/C₁₂ → C₂ ⊆ Out Dic₅	480		Dic5.5(C3xQ8)	480,284

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