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

Direct product G=N×Q with N=C₄⋊Dic₃ and Q=D₅

		d	ρ	Label	ID
D₅×C₄⋊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 = (C₂×C₁₂).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 = (C₄×D₁₅)⋊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 = (C₄×D₅)⋊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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