Extensions 1→N→G→Q→1 with N=D₁₀:Dic₃ and Q=C₂

Direct product G=NxQ with N=D₁₀:Dic₃ and Q=C₂

		d	ρ	Label	ID
C₂xD₁₀:Dic₃		240		C2xD10:Dic3	480,611

Semidirect products G=N:Q with N=D₁₀:Dic₃ and Q=C₂

extension	φ:Q→Out N	d	Label	ID
D₁₀:Dic₃:₁C₂ = Dic₃:C₄:D₅	φ: C₂/C₁ → C₂ ⊆ Out D₁₀:Dic₃	240	D10:Dic3:1C2	480,424
D₁₀:Dic₃:₂C₂ = Dic₃.D₂₀	φ: C₂/C₁ → C₂ ⊆ Out D₁₀:Dic₃	240	D10:Dic3:2C2	480,429
D₁₀:Dic₃:₃C₂ = D₃₀.₃₄D₄	φ: C₂/C₁ → C₂ ⊆ Out D₁₀:Dic₃	240	D10:Dic3:3C2	480,430
D₁₀:Dic₃:₄C₂ = D₃₀.D₄	φ: C₂/C₁ → C₂ ⊆ Out D₁₀:Dic₃	240	D10:Dic3:4C2	480,432
D₁₀:Dic₃:₅C₂ = C₆₀.₄₄D₄	φ: C₂/C₁ → C₂ ⊆ Out D₁₀:Dic₃	240	D10:Dic3:5C2	480,440
D₁₀:Dic₃:₆C₂ = C₆₀.₈₈D₄	φ: C₂/C₁ → C₂ ⊆ Out D₁₀:Dic₃	240	D10:Dic3:6C2	480,444
D₁₀:Dic₃:₇C₂ = (C₆xD₅).D₄	φ: C₂/C₁ → C₂ ⊆ Out D₁₀:Dic₃	240	D10:Dic3:7C2	480,483
D₁₀:Dic₃:₈C₂ = Dic₁₅:D₄	φ: C₂/C₁ → C₂ ⊆ Out D₁₀:Dic₃	240	D10:Dic3:8C2	480,484
D₁₀:Dic₃:₉C₂ = Dic₃:D₂₀	φ: C₂/C₁ → C₂ ⊆ Out D₁₀:Dic₃	240	D10:Dic3:9C2	480,485
D₁₀:Dic₃:₁₀C₂ = Dic₃xD₂₀	φ: C₂/C₁ → C₂ ⊆ Out D₁₀:Dic₃	240	D10:Dic3:10C2	480,501
D₁₀:Dic₃:₁₁C₂ = D₂₀:₈Dic₃	φ: C₂/C₁ → C₂ ⊆ Out D₁₀:Dic₃	240	D10:Dic3:11C2	480,510
D₁₀:Dic₃:₁₂C₂ = D₆:(C₄xD₅)	φ: C₂/C₁ → C₂ ⊆ Out D₁₀:Dic₃	240	D10:Dic3:12C2	480,516
D₁₀:Dic₃:₁₃C₂ = C₁₅:₂₀(C₄xD₄)	φ: C₂/C₁ → C₂ ⊆ Out D₁₀:Dic₃	240	D10:Dic3:13C2	480,520
D₁₀:Dic₃:₁₄C₂ = D₆:C₄:D₅	φ: C₂/C₁ → C₂ ⊆ Out D₁₀:Dic₃	240	D10:Dic3:14C2	480,523
D₁₀:Dic₃:₁₅C₂ = D₁₀:C₄:S₃	φ: C₂/C₁ → C₂ ⊆ Out D₁₀:Dic₃	240	D10:Dic3:15C2	480,528
D₁₀:Dic₃:₁₆C₂ = (C₂xDic₆):D₅	φ: C₂/C₁ → C₂ ⊆ Out D₁₀:Dic₃	240	D10:Dic3:16C2	480,531
D₁₀:Dic₃:₁₇C₂ = C₆₀:₄D₄	φ: C₂/C₁ → C₂ ⊆ Out D₁₀:Dic₃	240	D10:Dic3:17C2	480,532
D₁₀:Dic₃:₁₈C₂ = D₆.₉D₂₀	φ: C₂/C₁ → C₂ ⊆ Out D₁₀:Dic₃	240	D10:Dic3:18C2	480,533
D₁₀:Dic₃:₁₉C₂ = Dic₁₅.₁₀D₄	φ: C₂/C₁ → C₂ ⊆ Out D₁₀:Dic₃	240	D10:Dic3:19C2	480,538
D₁₀:Dic₃:₂₀C₂ = Dic₁₅.₃₁D₄	φ: C₂/C₁ → C₂ ⊆ Out D₁₀:Dic₃	240	D10:Dic3:20C2	480,540
D₁₀:Dic₃:₂₁C₂ = C₁₂:₂D₂₀	φ: C₂/C₁ → C₂ ⊆ Out D₁₀:Dic₃	240	D10:Dic3:21C2	480,541
D₁₀:Dic₃:₂₂C₂ = S₃xD₁₀:C₄	φ: C₂/C₁ → C₂ ⊆ Out D₁₀:Dic₃	120	D10:Dic3:22C2	480,548
D₁₀:Dic₃:₂₃C₂ = D₃₀.₂₇D₄	φ: C₂/C₁ → C₂ ⊆ Out D₁₀:Dic₃	120	D10:Dic3:23C2	480,549
D₁₀:Dic₃:₂₄C₂ = D₆:₄D₂₀	φ: C₂/C₁ → C₂ ⊆ Out D₁₀:Dic₃	120	D10:Dic3:24C2	480,550
D₁₀:Dic₃:₂₅C₂ = D₃₀:₆D₄	φ: C₂/C₁ → C₂ ⊆ Out D₁₀:Dic₃	240	D10:Dic3:25C2	480,609
D₁₀:Dic₃:₂₆C₂ = C₆.(D₄xD₅)	φ: C₂/C₁ → C₂ ⊆ Out D₁₀:Dic₃	240	D10:Dic3:26C2	480,610
D₁₀:Dic₃:₂₇C₂ = (C₂xC₃₀).D₄	φ: C₂/C₁ → C₂ ⊆ Out D₁₀:Dic₃	240	D10:Dic3:27C2	480,612
D₁₀:Dic₃:₂₈C₂ = C₆.(C₂xD₂₀)	φ: C₂/C₁ → C₂ ⊆ Out D₁₀:Dic₃	240	D10:Dic3:28C2	480,613
D₁₀:Dic₃:₂₉C₂ = D₅xC₆.D₄	φ: C₂/C₁ → C₂ ⊆ Out D₁₀:Dic₃	120	D10:Dic3:29C2	480,623
D₁₀:Dic₃:₃₀C₂ = C₂³.₁₇(S₃xD₅)	φ: C₂/C₁ → C₂ ⊆ Out D₁₀:Dic₃	240	D10:Dic3:30C2	480,624
D₁₀:Dic₃:₃₁C₂ = Dic₃xC₅:D₄	φ: C₂/C₁ → C₂ ⊆ Out D₁₀:Dic₃	240	D10:Dic3:31C2	480,629
D₁₀:Dic₃:₃₂C₂ = Dic₁₅:₁₆D₄	φ: C₂/C₁ → C₂ ⊆ Out D₁₀:Dic₃	240	D10:Dic3:32C2	480,635
D₁₀:Dic₃:₃₃C₂ = (C₂xC₃₀):D₄	φ: C₂/C₁ → C₂ ⊆ Out D₁₀:Dic₃	120	D10:Dic3:33C2	480,639
D₁₀:Dic₃:₃₄C₂ = (C₂xC₆):₈D₂₀	φ: C₂/C₁ → C₂ ⊆ Out D₁₀:Dic₃	120	D10:Dic3:34C2	480,640
D₁₀:Dic₃:₃₅C₂ = (S₃xC₁₀):D₄	φ: C₂/C₁ → C₂ ⊆ Out D₁₀:Dic₃	240	D10:Dic3:35C2	480,641
D₁₀:Dic₃:₃₆C₂ = (C₂xC₆):D₂₀	φ: C₂/C₁ → C₂ ⊆ Out D₁₀:Dic₃	240	D10:Dic3:36C2	480,645
D₁₀:Dic₃:₃₇C₂ = Dic₁₅:₁₈D₄	φ: C₂/C₁ → C₂ ⊆ Out D₁₀:Dic₃	240	D10:Dic3:37C2	480,647
D₁₀:Dic₃:₃₈C₂ = D₃₀:₈D₄	φ: C₂/C₁ → C₂ ⊆ Out D₁₀:Dic₃	120	D10:Dic3:38C2	480,653
D₁₀:Dic₃:₃₉C₂ = C₄xC₁₅:D₄	φ: trivial image	240	D10:Dic3:39C2	480,515
D₁₀:Dic₃:₄₀C₂ = C₄xC₃:D₂₀	φ: trivial image	240	D10:Dic3:40C2	480,519

Non-split extensions G=N.Q with N=D₁₀:Dic₃ and Q=C₂

extension	φ:Q→Out N	d	Label	ID
D₁₀:Dic₃.₁C₂ = D₁₀:Dic₆	φ: C₂/C₁ → C₂ ⊆ Out D₁₀:Dic₃	240	D10:Dic3.1C2	480,425
D₁₀:Dic₃.₂C₂ = (C₄xD₅):Dic₃	φ: C₂/C₁ → C₂ ⊆ Out D₁₀:Dic₃	240	D10:Dic3.2C2	480,434
D₁₀:Dic₃.₃C₂ = C₆₀.₆₇D₄	φ: C₂/C₁ → C₂ ⊆ Out D₁₀:Dic₃	240	D10:Dic3.3C2	480,435
D₁₀:Dic₃.₄C₂ = C₆₀.₆₈D₄	φ: C₂/C₁ → C₂ ⊆ Out D₁₀:Dic₃	240	D10:Dic3.4C2	480,436
D₁₀:Dic₃.₅C₂ = (C₂xC₁₂).D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₁₀:Dic₃	240	D10:Dic3.5C2	480,437
D₁₀:Dic₃.₆C₂ = (C₂xC₆₀).C₂²	φ: C₂/C₁ → C₂ ⊆ Out D₁₀:Dic₃	240	D10:Dic3.6C2	480,438
D₁₀:Dic₃.₇C₂ = (C₄xDic₃):D₅	φ: C₂/C₁ → C₂ ⊆ Out D₁₀:Dic₃	240	D10:Dic3.7C2	480,439
D₁₀:Dic₃.₈C₂ = (C₄xDic₁₅):C₂	φ: C₂/C₁ → C₂ ⊆ Out D₁₀:Dic₃	240	D10:Dic3.8C2	480,442
D₁₀:Dic₃.₉C₂ = (D₅xDic₃):C₄	φ: C₂/C₁ → C₂ ⊆ Out D₁₀:Dic₃	240	D10:Dic3.9C2	480,469
D₁₀:Dic₃.₁₀C₂ = D₁₀.₁₉(C₄xS₃)	φ: C₂/C₁ → C₂ ⊆ Out D₁₀:Dic₃	240	D10:Dic3.10C2	480,470
D₁₀:Dic₃.₁₁C₂ = D₁₀:₁Dic₆	φ: C₂/C₁ → C₂ ⊆ Out D₁₀:Dic₃	240	D10:Dic3.11C2	480,497
D₁₀:Dic₃.₁₂C₂ = D₁₀:₂Dic₆	φ: C₂/C₁ → C₂ ⊆ Out D₁₀:Dic₃	240	D10:Dic3.12C2	480,498
D₁₀:Dic₃.₁₃C₂ = Dic₁₅.D₄	φ: C₂/C₁ → C₂ ⊆ Out D₁₀:Dic₃	240	D10:Dic3.13C2	480,506
D₁₀:Dic₃.₁₄C₂ = D₁₀:₄Dic₆	φ: C₂/C₁ → C₂ ⊆ Out D₁₀:Dic₃	240	D10:Dic3.14C2	480,507
D₁₀:Dic₃.₁₅C₂ = (D₅xC₁₂):C₄	φ: trivial image	240	D10:Dic3.15C2	480,433

Extensions 1→N→G→Q→1 with N=D10:Dic3 and Q=C2

Extensions 1→N→G→Q→1 with N=D₁₀:Dic₃ and Q=C₂