Extensions 1→N→G→Q→1 with N=C₄:Dic₃ and Q=D₅

Direct product G=NxQ with N=C₄:Dic₃ and Q=D₅

		d	ρ	Label	ID
D₅xC₄:Dic₃		240		D5xC4:Dic3	480,488

Semidirect products G=N:Q with N=C₄:Dic₃ and Q=D₅

extension	φ:Q→Out N	d	ρ	Label	ID
C₄:Dic₃:₁D₅ = D₆₀:₁₅C₄	φ: D₅/C₅ → C₂ ⊆ Out C₄:Dic₃	240		C4:Dic3:1D5	480,45
C₄:Dic₃:₂D₅ = C₄:Dic₃:D₅	φ: D₅/C₅ → C₂ ⊆ Out C₄:Dic₃	240		C4:Dic3:2D5	480,413
C₄:Dic₃:₃D₅ = D₃₀.D₄	φ: D₅/C₅ → C₂ ⊆ Out C₄:Dic₃	240		C4:Dic3:3D5	480,432
C₄:Dic₃:₄D₅ = C₆₀.₆₈D₄	φ: D₅/C₅ → C₂ ⊆ Out C₄:Dic₃	240		C4:Dic3:4D5	480,436
C₄:Dic₃:₅D₅ = (C₂xC₁₂).D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₄:Dic₃	240		C4:Dic3:5D5	480,437
C₄:Dic₃:₆D₅ = D₁₀.₁₆D₁₂	φ: D₅/C₅ → C₂ ⊆ Out C₄:Dic₃	240		C4:Dic3:6D5	480,489
C₄:Dic₃:₇D₅ = D₃₀:₂Q₈	φ: D₅/C₅ → C₂ ⊆ Out C₄:Dic₃	240		C4:Dic3:7D5	480,495
C₄:Dic₃:₈D₅ = Dic₁₅.D₄	φ: D₅/C₅ → C₂ ⊆ Out C₄:Dic₃	240		C4:Dic3:8D5	480,506
C₄:Dic₃:₉D₅ = C₁₂:₇D₂₀	φ: D₅/C₅ → C₂ ⊆ Out C₄:Dic₃	240		C4:Dic3:9D5	480,526
C₄:Dic₃:₁₀D₅ = C₃₀.D₈	φ: D₅/C₅ → C₂ ⊆ Out C₄:Dic₃	240		C4:Dic3:10D5	480,40
C₄:Dic₃:₁₁D₅ = (C₄xD₁₅):₈C₄	φ: D₅/C₅ → C₂ ⊆ Out C₄:Dic₃	240		C4:Dic3:11D5	480,423
C₄:Dic₃:₁₂D₅ = D₃₀:₁₀Q₈	φ: D₅/C₅ → C₂ ⊆ Out C₄:Dic₃	240		C4:Dic3:12D5	480,466
C₄:Dic₃:₁₃D₅ = D₂₀:₈Dic₃	φ: D₅/C₅ → C₂ ⊆ Out C₄:Dic₃	240		C4:Dic3:13D5	480,510
C₄:Dic₃:₁₄D₅ = D₃₀.₂Q₈	φ: D₅/C₅ → C₂ ⊆ Out C₄:Dic₃	240		C4:Dic3:14D5	480,513
C₄:Dic₃:₁₅D₅ = C₁₂:₂D₂₀	φ: D₅/C₅ → C₂ ⊆ Out C₄:Dic₃	240		C4:Dic3:15D5	480,541
C₄:Dic₃:₁₆D₅ = (C₄xD₅):Dic₃	φ: trivial image	240		C4:Dic3:16D5	480,434
C₄:Dic₃:₁₇D₅ = D₆₀:₁₇C₄	φ: trivial image	240		C4:Dic3:17D5	480,494

Non-split extensions G=N.Q with N=C₄:Dic₃ and Q=D₅

extension	φ:Q→Out N	d	ρ	Label	ID
C₄:Dic₃.₁D₅ = Dic₃₀:₁₅C₄	φ: D₅/C₅ → C₂ ⊆ Out C₄:Dic₃	480		C4:Dic3.1D5	480,51
C₄:Dic₃.₂D₅ = C₆₀.₇Q₈	φ: D₅/C₅ → C₂ ⊆ Out C₄:Dic₃	480		C4:Dic3.2D5	480,61
C₄:Dic₃.₃D₅ = C₆₀.₈Q₈	φ: D₅/C₅ → C₂ ⊆ Out C₄:Dic₃	480		C4:Dic3.3D5	480,64
C₄:Dic₃.₄D₅ = Dic₅.₂Dic₆	φ: D₅/C₅ → C₂ ⊆ Out C₄:Dic₃	480		C4:Dic3.4D5	480,411
C₄:Dic₃.₅D₅ = Dic₁₅.Q₈	φ: D₅/C₅ → C₂ ⊆ Out C₄:Dic₃	480		C4:Dic3.5D5	480,412
C₄:Dic₃.₆D₅ = C₂₀.Dic₆	φ: D₅/C₅ → C₂ ⊆ Out C₄:Dic₃	480		C4:Dic3.6D5	480,464
C₄:Dic₃.₇D₅ = C₆₀:Q₈	φ: D₅/C₅ → C₂ ⊆ Out C₄:Dic₃	480		C4:Dic3.7D5	480,544
C₄:Dic₃.₈D₅ = C₃₀.Q₁₆	φ: D₅/C₅ → C₂ ⊆ Out C₄:Dic₃	480		C4:Dic3.8D5	480,46
C₄:Dic₃.₉D₅ = C₃₀.SD₁₆	φ: D₅/C₅ → C₂ ⊆ Out C₄:Dic₃	480		C4:Dic3.9D5	480,62
C₄:Dic₃.₁₀D₅ = C₃₀.₂₀D₈	φ: D₅/C₅ → C₂ ⊆ Out C₄:Dic₃	480		C4:Dic3.10D5	480,65
C₄:Dic₃.₁₁D₅ = Dic₁₅:₆Q₈	φ: D₅/C₅ → C₂ ⊆ Out C₄:Dic₃	480		C4:Dic3.11D5	480,407
C₄:Dic₃.₁₂D₅ = C₁₂.Dic₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₄:Dic₃	480		C4:Dic3.12D5	480,460
C₄:Dic₃.₁₃D₅ = C₂₀:Dic₆	φ: D₅/C₅ → C₂ ⊆ Out C₄:Dic₃	480		C4:Dic3.13D5	480,546
C₄:Dic₃.₁₄D₅ = Dic₃₀:₁₇C₄	φ: trivial image	480		C4:Dic3.14D5	480,409

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