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

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

		d	ρ	Label	ID
D₅×Dic₃⋊C₄		240		D5xDic3:C4	480,468

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

extension	φ:Q→Out N	d	Label	ID
Dic₃⋊C₄⋊₁D₅ = Dic₃⋊C₄⋊D₅	φ: D₅/C₅ → C₂ ⊆ Out Dic₃⋊C₄	240	Dic3:C4:1D5	480,424
Dic₃⋊C₄⋊₂D₅ = D₁₀⋊Dic₆	φ: D₅/C₅ → C₂ ⊆ Out Dic₃⋊C₄	240	Dic3:C4:2D5	480,425
Dic₃⋊C₄⋊₃D₅ = (C₄×Dic₅)⋊S₃	φ: D₅/C₅ → C₂ ⊆ Out Dic₃⋊C₄	240	Dic3:C4:3D5	480,463
Dic₃⋊C₄⋊₄D₅ = (C₂×C₆₀).C₂²	φ: D₅/C₅ → C₂ ⊆ Out Dic₃⋊C₄	240	Dic3:C4:4D5	480,438
Dic₃⋊C₄⋊₅D₅ = D₁₀⋊₂Dic₆	φ: D₅/C₅ → C₂ ⊆ Out Dic₃⋊C₄	240	Dic3:C4:5D5	480,498
Dic₃⋊C₄⋊₆D₅ = D₁₀⋊₄Dic₆	φ: D₅/C₅ → C₂ ⊆ Out Dic₃⋊C₄	240	Dic3:C4:6D5	480,507
Dic₃⋊C₄⋊₇D₅ = D₃₀.₆D₄	φ: D₅/C₅ → C₂ ⊆ Out Dic₃⋊C₄	240	Dic3:C4:7D5	480,509
Dic₃⋊C₄⋊₈D₅ = D₃₀⋊₂D₄	φ: D₅/C₅ → C₂ ⊆ Out Dic₃⋊C₄	240	Dic3:C4:8D5	480,535
Dic₃⋊C₄⋊₉D₅ = D₃₀.₃₄D₄	φ: D₅/C₅ → C₂ ⊆ Out Dic₃⋊C₄	240	Dic3:C4:9D5	480,430
Dic₃⋊C₄⋊₁₀D₅ = (C₄×Dic₁₅)⋊C₂	φ: D₅/C₅ → C₂ ⊆ Out Dic₃⋊C₄	240	Dic3:C4:10D5	480,442
Dic₃⋊C₄⋊₁₁D₅ = D₃₀⋊₈Q₈	φ: D₅/C₅ → C₂ ⊆ Out Dic₃⋊C₄	240	Dic3:C4:11D5	480,453
Dic₃⋊C₄⋊₁₂D₅ = D₁₀.₁₉(C₄×S₃)	φ: D₅/C₅ → C₂ ⊆ Out Dic₃⋊C₄	240	Dic3:C4:12D5	480,470
Dic₃⋊C₄⋊₁₃D₅ = Dic₁₅⋊₁₃D₄	φ: D₅/C₅ → C₂ ⊆ Out Dic₃⋊C₄	240	Dic3:C4:13D5	480,472
Dic₃⋊C₄⋊₁₄D₅ = D₃₀.Q₈	φ: D₅/C₅ → C₂ ⊆ Out Dic₃⋊C₄	240	Dic3:C4:14D5	480,480
Dic₃⋊C₄⋊₁₅D₅ = C₄⋊Dic₅⋊S₃	φ: D₅/C₅ → C₂ ⊆ Out Dic₃⋊C₄	240	Dic3:C4:15D5	480,421
Dic₃⋊C₄⋊₁₆D₅ = (C₆×D₅).D₄	φ: D₅/C₅ → C₂ ⊆ Out Dic₃⋊C₄	240	Dic3:C4:16D5	480,483
Dic₃⋊C₄⋊₁₇D₅ = Dic₃⋊D₂₀	φ: D₅/C₅ → C₂ ⊆ Out Dic₃⋊C₄	240	Dic3:C4:17D5	480,485
Dic₃⋊C₄⋊₁₈D₅ = D₃₀⋊Q₈	φ: D₅/C₅ → C₂ ⊆ Out Dic₃⋊C₄	240	Dic3:C4:18D5	480,487
Dic₃⋊C₄⋊₁₉D₅ = D₃₀⋊₄Q₈	φ: D₅/C₅ → C₂ ⊆ Out Dic₃⋊C₄	240	Dic3:C4:19D5	480,505
Dic₃⋊C₄⋊₂₀D₅ = D₃₀.C₂⋊C₄	φ: trivial image	240	Dic3:C4:20D5	480,478
Dic₃⋊C₄⋊₂₁D₅ = C₁₅⋊₂₀(C₄×D₄)	φ: trivial image	240	Dic3:C4:21D5	480,520

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

extension	φ:Q→Out N	d	Label	ID
Dic₃⋊C₄.₁D₅ = Dic₅.₇Dic₆	φ: D₅/C₅ → C₂ ⊆ Out Dic₃⋊C₄	480	Dic3:C4.1D5	480,454
Dic₃⋊C₄.₂D₅ = Dic₃⋊Dic₁₀	φ: D₅/C₅ → C₂ ⊆ Out Dic₃⋊C₄	480	Dic3:C4.2D5	480,404
Dic₃⋊C₄.₃D₅ = Dic₅.₁Dic₆	φ: D₅/C₅ → C₂ ⊆ Out Dic₃⋊C₄	480	Dic3:C4.3D5	480,410
Dic₃⋊C₄.₄D₅ = Dic₃.Dic₁₀	φ: D₅/C₅ → C₂ ⊆ Out Dic₃⋊C₄	480	Dic3:C4.4D5	480,419
Dic₃⋊C₄.₅D₅ = Dic₁₅⋊₅Q₈	φ: D₅/C₅ → C₂ ⊆ Out Dic₃⋊C₄	480	Dic3:C4.5D5	480,401
Dic₃⋊C₄.₆D₅ = Dic₁₅.₄Q₈	φ: D₅/C₅ → C₂ ⊆ Out Dic₃⋊C₄	480	Dic3:C4.6D5	480,458
Dic₃⋊C₄.₇D₅ = Dic₁₅⋊₁Q₈	φ: D₅/C₅ → C₂ ⊆ Out Dic₃⋊C₄	480	Dic3:C4.7D5	480,403
Dic₃⋊C₄.₈D₅ = Dic₁₅.₂Q₈	φ: D₅/C₅ → C₂ ⊆ Out Dic₃⋊C₄	480	Dic3:C4.8D5	480,415
Dic₃⋊C₄.₉D₅ = Dic₃.₂Dic₁₀	φ: D₅/C₅ → C₂ ⊆ Out Dic₃⋊C₄	480	Dic3:C4.9D5	480,422
Dic₃⋊C₄.₁₀D₅ = Dic₅⋊₅Dic₆	φ: trivial image	480	Dic3:C4.10D5	480,399

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

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