Extensions 1→N→G→Q→1 with N=D₆:Dic₅ and Q=C₂

Direct product G=NxQ with N=D₆:Dic₅ and Q=C₂

		d	ρ	Label	ID
C₂xD₆:Dic₅		240		C2xD6:Dic5	480,614

Semidirect products G=N:Q with N=D₆:Dic₅ and Q=C₂

extension	φ:Q→Out N	d	Label	ID
D₆:Dic₅:₁C₂ = (C₂xC₂₀).D₆	φ: C₂/C₁ → C₂ ⊆ Out D₆:Dic₅	240	D6:Dic5:1C2	480,402
D₆:Dic₅:₂C₂ = Dic₅.₈D₁₂	φ: C₂/C₁ → C₂ ⊆ Out D₆:Dic₅	240	D6:Dic5:2C2	480,426
D₆:Dic₅:₃C₂ = D₆:Dic₅:C₂	φ: C₂/C₁ → C₂ ⊆ Out D₆:Dic₅	240	D6:Dic5:3C2	480,427
D₆:Dic₅:₄C₂ = D₃₀.₃₅D₄	φ: C₂/C₁ → C₂ ⊆ Out D₆:Dic₅	240	D6:Dic5:4C2	480,431
D₆:Dic₅:₅C₂ = C₆₀.₈₉D₄	φ: C₂/C₁ → C₂ ⊆ Out D₆:Dic₅	240	D6:Dic5:5C2	480,446
D₆:Dic₅:₆C₂ = C₆₀.₆₉D₄	φ: C₂/C₁ → C₂ ⊆ Out D₆:Dic₅	240	D6:Dic5:6C2	480,449
D₆:Dic₅:₇C₂ = D₁₀.₁₇D₁₂	φ: C₂/C₁ → C₂ ⊆ Out D₆:Dic₅	240	D6:Dic5:7C2	480,490
D₆:Dic₅:₈C₂ = Dic₅xD₁₂	φ: C₂/C₁ → C₂ ⊆ Out D₆:Dic₅	240	D6:Dic5:8C2	480,491
D₆:Dic₅:₉C₂ = Dic₅:D₁₂	φ: C₂/C₁ → C₂ ⊆ Out D₆:Dic₅	240	D6:Dic5:9C2	480,492
D₆:Dic₅:₁₀C₂ = (C₂xD₁₂).D₅	φ: C₂/C₁ → C₂ ⊆ Out D₆:Dic₅	240	D6:Dic5:10C2	480,499
D₆:Dic₅:₁₁C₂ = Dic₁₅:₈D₄	φ: C₂/C₁ → C₂ ⊆ Out D₆:Dic₅	240	D6:Dic5:11C2	480,511
D₆:Dic₅:₁₂C₂ = D₃₀.₇D₄	φ: C₂/C₁ → C₂ ⊆ Out D₆:Dic₅	240	D6:Dic5:12C2	480,514
D₆:Dic₅:₁₃C₂ = C₁₅:₁₇(C₄xD₄)	φ: C₂/C₁ → C₂ ⊆ Out D₆:Dic₅	240	D6:Dic5:13C2	480,517
D₆:Dic₅:₁₄C₂ = C₁₅:₂₂(C₄xD₄)	φ: C₂/C₁ → C₂ ⊆ Out D₆:Dic₅	240	D6:Dic5:14C2	480,522
D₆:Dic₅:₁₅C₂ = D₆:C₄:D₅	φ: C₂/C₁ → C₂ ⊆ Out D₆:Dic₅	240	D6:Dic5:15C2	480,523
D₆:Dic₅:₁₆C₂ = C₆₀:D₄	φ: C₂/C₁ → C₂ ⊆ Out D₆:Dic₅	240	D6:Dic5:16C2	480,525
D₆:Dic₅:₁₇C₂ = D₁₀:C₄:S₃	φ: C₂/C₁ → C₂ ⊆ Out D₆:Dic₅	240	D6:Dic5:17C2	480,528
D₆:Dic₅:₁₈C₂ = Dic₁₅:₂D₄	φ: C₂/C₁ → C₂ ⊆ Out D₆:Dic₅	240	D6:Dic5:18C2	480,529
D₆:Dic₅:₁₉C₂ = Dic₁₅.₁₀D₄	φ: C₂/C₁ → C₂ ⊆ Out D₆:Dic₅	240	D6:Dic5:19C2	480,538
D₆:Dic₅:₂₀C₂ = Dic₁₅.₃₁D₄	φ: C₂/C₁ → C₂ ⊆ Out D₆:Dic₅	240	D6:Dic5:20C2	480,540
D₆:Dic₅:₂₁C₂ = C₂₀:₂D₁₂	φ: C₂/C₁ → C₂ ⊆ Out D₆:Dic₅	240	D6:Dic5:21C2	480,542
D₆:Dic₅:₂₂C₂ = D₅xD₆:C₄	φ: C₂/C₁ → C₂ ⊆ Out D₆:Dic₅	120	D6:Dic5:22C2	480,547
D₆:Dic₅:₂₃C₂ = D₃₀.₂₇D₄	φ: C₂/C₁ → C₂ ⊆ Out D₆:Dic₅	120	D6:Dic5:23C2	480,549
D₆:Dic₅:₂₄C₂ = D₃₀:₄D₄	φ: C₂/C₁ → C₂ ⊆ Out D₆:Dic₅	120	D6:Dic5:24C2	480,551
D₆:Dic₅:₂₅C₂ = C₂³.D₅:S₃	φ: C₂/C₁ → C₂ ⊆ Out D₆:Dic₅	240	D6:Dic5:25C2	480,601
D₆:Dic₅:₂₆C₂ = C₃₀.(C₂xD₄)	φ: C₂/C₁ → C₂ ⊆ Out D₆:Dic₅	240	D6:Dic5:26C2	480,615
D₆:Dic₅:₂₇C₂ = (C₂xC₁₀).D₁₂	φ: C₂/C₁ → C₂ ⊆ Out D₆:Dic₅	240	D6:Dic5:27C2	480,619
D₆:Dic₅:₂₈C₂ = (C₆xD₅):D₄	φ: C₂/C₁ → C₂ ⊆ Out D₆:Dic₅	240	D6:Dic5:28C2	480,625
D₆:Dic₅:₂₉C₂ = Dic₅xC₃:D₄	φ: C₂/C₁ → C₂ ⊆ Out D₆:Dic₅	240	D6:Dic5:29C2	480,627
D₆:Dic₅:₃₀C₂ = S₃xC₂³.D₅	φ: C₂/C₁ → C₂ ⊆ Out D₆:Dic₅	120	D6:Dic5:30C2	480,630
D₆:Dic₅:₃₁C₂ = (S₃xC₁₀).D₄	φ: C₂/C₁ → C₂ ⊆ Out D₆:Dic₅	240	D6:Dic5:31C2	480,631
D₆:Dic₅:₃₂C₂ = D₃₀:₇D₄	φ: C₂/C₁ → C₂ ⊆ Out D₆:Dic₅	240	D6:Dic5:32C2	480,633
D₆:Dic₅:₃₃C₂ = Dic₁₅:₁₇D₄	φ: C₂/C₁ → C₂ ⊆ Out D₆:Dic₅	240	D6:Dic5:33C2	480,636
D₆:Dic₅:₃₄C₂ = (C₂xC₁₀):₄D₁₂	φ: C₂/C₁ → C₂ ⊆ Out D₆:Dic₅	240	D6:Dic5:34C2	480,642
D₆:Dic₅:₃₅C₂ = C₁₅:C₂²wrC₂	φ: C₂/C₁ → C₂ ⊆ Out D₆:Dic₅	120	D6:Dic5:35C2	480,644
D₆:Dic₅:₃₆C₂ = (C₂xC₁₀):₁₁D₁₂	φ: C₂/C₁ → C₂ ⊆ Out D₆:Dic₅	120	D6:Dic5:36C2	480,646
D₆:Dic₅:₃₇C₂ = Dic₁₅:₁₈D₄	φ: C₂/C₁ → C₂ ⊆ Out D₆:Dic₅	240	D6:Dic5:37C2	480,647
D₆:Dic₅:₃₈C₂ = D₃₀:₈D₄	φ: C₂/C₁ → C₂ ⊆ Out D₆:Dic₅	120	D6:Dic5:38C2	480,653
D₆:Dic₅:₃₉C₂ = C₄xC₁₅:D₄	φ: trivial image	240	D6:Dic5:39C2	480,515
D₆:Dic₅:₄₀C₂ = C₄xC₅:D₁₂	φ: trivial image	240	D6:Dic5:40C2	480,521

Non-split extensions G=N.Q with N=D₆:Dic₅ and Q=C₂

extension	φ:Q→Out N	d	Label	ID
D₆:Dic₅.₁C₂ = (S₃xC₂₀):₅C₄	φ: C₂/C₁ → C₂ ⊆ Out D₆:Dic₅	240	D6:Dic5.1C2	480,414
D₆:Dic₅.₂C₂ = D₆:C₄.D₅	φ: C₂/C₁ → C₂ ⊆ Out D₆:Dic₅	240	D6:Dic5.2C2	480,417
D₆:Dic₅.₃C₂ = C₆₀:₅C₄:C₂	φ: C₂/C₁ → C₂ ⊆ Out D₆:Dic₅	240	D6:Dic5.3C2	480,418
D₆:Dic₅.₄C₂ = D₆:Dic₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₆:Dic₅	240	D6:Dic5.4C2	480,428
D₆:Dic₅.₅C₂ = C₆₀.₄₅D₄	φ: C₂/C₁ → C₂ ⊆ Out D₆:Dic₅	240	D6:Dic5.5C2	480,441
D₆:Dic₅.₆C₂ = D₆:Dic₅.C₂	φ: C₂/C₁ → C₂ ⊆ Out D₆:Dic₅	240	D6:Dic5.6C2	480,443
D₆:Dic₅.₇C₂ = C₆₀.₄₆D₄	φ: C₂/C₁ → C₂ ⊆ Out D₆:Dic₅	240	D6:Dic5.7C2	480,445
D₆:Dic₅.₈C₂ = C₅:(C₄²:₃S₃)	φ: C₂/C₁ → C₂ ⊆ Out D₆:Dic₅	240	D6:Dic5.8C2	480,448
D₆:Dic₅.₉C₂ = D₆.(C₄xD₅)	φ: C₂/C₁ → C₂ ⊆ Out D₆:Dic₅	240	D6:Dic5.9C2	480,474
D₆:Dic₅.₁₀C₂ = (S₃xDic₅):C₄	φ: C₂/C₁ → C₂ ⊆ Out D₆:Dic₅	240	D6:Dic5.10C2	480,476
D₆:Dic₅.₁₁C₂ = D₆:₁Dic₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₆:Dic₅	240	D6:Dic5.11C2	480,486
D₆:Dic₅.₁₂C₂ = D₆:₂Dic₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₆:Dic₅	240	D6:Dic5.12C2	480,493
D₆:Dic₅.₁₃C₂ = D₆:₃Dic₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₆:Dic₅	240	D6:Dic5.13C2	480,508
D₆:Dic₅.₁₄C₂ = D₆:₄Dic₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₆:Dic₅	240	D6:Dic5.14C2	480,512
D₆:Dic₅.₁₅C₂ = (S₃xC₂₀):₇C₄	φ: trivial image	240	D6:Dic5.15C2	480,447

Extensions 1→N→G→Q→1 with N=D6:Dic5 and Q=C2

Extensions 1→N→G→Q→1 with N=D₆:Dic₅ and Q=C₂