Extensions 1→N→G→Q→1 with N=Dic₅ and Q=D₈

Direct product G=N×Q with N=Dic₅ and Q=D₈

		d	ρ	Label	ID
D₈×Dic₅		160		D8xDic5	320,776

Semidirect products G=N:Q with N=Dic₅ and Q=D₈

extension	φ:Q→Out N	d	Label	ID
Dic₅⋊₁D₈ = C₄₀⋊₅D₄	φ: D₈/C₈ → C₂ ⊆ Out Dic₅	160	Dic5:1D8	320,778
Dic₅⋊₂D₈ = D₂₀⋊₃D₄	φ: D₈/D₄ → C₂ ⊆ Out Dic₅	160	Dic5:2D8	320,413
Dic₅⋊₃D₈ = Dic₅⋊D₈	φ: D₈/D₄ → C₂ ⊆ Out Dic₅	160	Dic5:3D8	320,777
Dic₅⋊₄D₈ = Dic₅⋊₄D₈	φ: trivial image	160	Dic5:4D8	320,383
Dic₅⋊₅D₈ = D₄₀⋊₁₂C₄	φ: trivial image	160	Dic5:5D8	320,499

Non-split extensions G=N.Q with N=Dic₅ and Q=D₈

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₅.₁D₈ = Dic₅.D₈	φ: D₈/C₄ → C₂² ⊆ Out Dic₅	320		Dic5.1D8	320,211
Dic₅.₂D₈ = D₄₀.C₄	φ: D₈/C₄ → C₂² ⊆ Out Dic₅	80	8+	Dic5.2D8	320,244
Dic₅.₃D₈ = Dic₂₀.C₄	φ: D₈/C₄ → C₂² ⊆ Out Dic₅	160	8-	Dic5.3D8	320,248
Dic₅.₄D₈ = Dic₅.SD₁₆	φ: D₈/C₄ → C₂² ⊆ Out Dic₅	160		Dic5.4D8	320,263
Dic₅.₅D₈ = Dic₅.₅D₈	φ: D₈/C₈ → C₂ ⊆ Out Dic₅	160		Dic5.5D8	320,387
Dic₅.₆D₈ = C₄₀⋊₂Q₈	φ: D₈/C₈ → C₂ ⊆ Out Dic₅	320		Dic5.6D8	320,501
Dic₅.₇D₈ = D₅×D₁₆	φ: D₈/C₈ → C₂ ⊆ Out Dic₅	80	4+	Dic5.7D8	320,537
Dic₅.₈D₈ = D₅×SD₃₂	φ: D₈/C₈ → C₂ ⊆ Out Dic₅	80	4	Dic5.8D8	320,540
Dic₅.₉D₈ = D₅×Q₃₂	φ: D₈/C₈ → C₂ ⊆ Out Dic₅	160	4-	Dic5.9D8	320,544
Dic₅.₁₀D₈ = C₁₆.F₅	φ: D₈/C₈ → C₂ ⊆ Out Dic₅	160	4	Dic5.10D8	320,189
Dic₅.₁₁D₈ = C₈₀.₂C₄	φ: D₈/C₈ → C₂ ⊆ Out Dic₅	160	4	Dic5.11D8	320,190
Dic₅.₁₂D₈ = C₄₀⋊₁C₈	φ: D₈/C₈ → C₂ ⊆ Out Dic₅	320		Dic5.12D8	320,220
Dic₅.₁₃D₈ = Dic₅.₁₃D₈	φ: D₈/C₈ → C₂ ⊆ Out Dic₅	320		Dic5.13D8	320,222
Dic₅.₁₄D₈ = Dic₅.₁₄D₈	φ: D₈/D₄ → C₂ ⊆ Out Dic₅	160		Dic5.14D8	320,386
Dic₅.₁₅D₈ = D₂₀⋊₂Q₈	φ: D₈/D₄ → C₂ ⊆ Out Dic₅	160		Dic5.15D8	320,517
Dic₅.₁₆D₈ = D₁₆⋊D₅	φ: D₈/D₄ → C₂ ⊆ Out Dic₅	80	4	Dic5.16D8	320,538
Dic₅.₁₇D₈ = C₁₆⋊D₁₀	φ: D₈/D₄ → C₂ ⊆ Out Dic₅	80	4+	Dic5.17D8	320,541
Dic₅.₁₈D₈ = SD₃₂⋊D₅	φ: D₈/D₄ → C₂ ⊆ Out Dic₅	160	4-	Dic5.18D8	320,542
Dic₅.₁₉D₈ = Q₃₂⋊D₅	φ: D₈/D₄ → C₂ ⊆ Out Dic₅	160	4	Dic5.19D8	320,545
Dic₅.₂₀D₈ = D₂₀⋊C₈	φ: D₈/D₄ → C₂ ⊆ Out Dic₅	160		Dic5.20D8	320,209
Dic₅.₂₁D₈ = D₈.F₅	φ: D₈/D₄ → C₂ ⊆ Out Dic₅	160	8-	Dic5.21D8	320,243
Dic₅.₂₂D₈ = Q₁₆.F₅	φ: D₈/D₄ → C₂ ⊆ Out Dic₅	160	8+	Dic5.22D8	320,247
Dic₅.₂₃D₈ = Dic₅.₂₃D₈	φ: D₈/D₄ → C₂ ⊆ Out Dic₅	160		Dic5.23D8	320,262
Dic₅.₂₄D₈ = D₁₆⋊₃D₅	φ: trivial image	160	4-	Dic5.24D8	320,539
Dic₅.₂₅D₈ = SD₃₂⋊₃D₅	φ: trivial image	160	4	Dic5.25D8	320,543
Dic₅.₂₆D₈ = D₈₀⋊₅C₂	φ: trivial image	160	4+	Dic5.26D8	320,546

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Extensions 1→N→G→Q→1 with N=Dic5 and Q=D8

Extensions 1→N→G→Q→1 with N=Dic₅ and Q=D₈