Extensions 1→N→G→Q→1 with N=D₂₀ and Q=D₆

Direct product G=NxQ with N=D₂₀ and Q=D₆

		d	ρ	Label	ID
C₂xS₃xD₂₀		120		C2xS3xD20	480,1088

Semidirect products G=N:Q with N=D₂₀ and Q=D₆

extension	φ:Q→Out N	d	ρ	Label	ID
D₂₀:₁D₆ = C₄₀:₅D₆	φ: D₆/C₃ → C₂² ⊆ Out D₂₀	120	4	D20:1D6	480,332
D₂₀:₂D₆ = C₄₀:₈D₆	φ: D₆/C₃ → C₂² ⊆ Out D₂₀	120	4	D20:2D6	480,334
D₂₀:₃D₆ = D₅xD₄:S₃	φ: D₆/C₃ → C₂² ⊆ Out D₂₀	120	8+	D20:3D6	480,553
D₂₀:₄D₆ = D₁₅:D₈	φ: D₆/C₃ → C₂² ⊆ Out D₂₀	120	8+	D20:4D6	480,557
D₂₀:₅D₆ = Dic₆:D₁₀	φ: D₆/C₃ → C₂² ⊆ Out D₂₀	120	8+	D20:5D6	480,574
D₂₀:₆D₆ = D₂₀:D₆	φ: D₆/C₃ → C₂² ⊆ Out D₂₀	120	8+	D20:6D6	480,578
D₂₀:₇D₆ = S₃xD₄₀	φ: D₆/S₃ → C₂ ⊆ Out D₂₀	120	4+	D20:7D6	480,328
D₂₀:₈D₆ = D₄₀:S₃	φ: D₆/S₃ → C₂ ⊆ Out D₂₀	120	4	D20:8D6	480,330
D₂₀:₉D₆ = S₃xD₄:D₅	φ: D₆/S₃ → C₂ ⊆ Out D₂₀	120	8+	D20:9D6	480,555
D₂₀:₁₀D₆ = D₂₀:₁₀D₆	φ: D₆/S₃ → C₂ ⊆ Out D₂₀	120	8-	D20:10D6	480,570
D₂₀:₁₁D₆ = S₃xD₄xD₅	φ: D₆/S₃ → C₂ ⊆ Out D₂₀	60	8+	D20:11D6	480,1097
D₂₀:₁₂D₆ = D₅xD₄:₂S₃	φ: D₆/S₃ → C₂ ⊆ Out D₂₀	120	8-	D20:12D6	480,1098
D₂₀:₁₃D₆ = D₂₀:₁₃D₆	φ: D₆/S₃ → C₂ ⊆ Out D₂₀	120	8-	D20:13D6	480,1101
D₂₀:₁₄D₆ = D₂₀:₁₄D₆	φ: D₆/S₃ → C₂ ⊆ Out D₂₀	120	8+	D20:14D6	480,1102
D₂₀:₁₅D₆ = S₃xQ₈:₂D₅	φ: D₆/S₃ → C₂ ⊆ Out D₂₀	120	8+	D20:15D6	480,1109
D₂₀:₁₆D₆ = D₂₀:₁₆D₆	φ: D₆/S₃ → C₂ ⊆ Out D₂₀	120	8-	D20:16D6	480,1110
D₂₀:₁₇D₆ = D₂₀:₁₇D₆	φ: D₆/S₃ → C₂ ⊆ Out D₂₀	120	8+	D20:17D6	480,1111
D₂₀:₁₈D₆ = C₂xC₃:D₄₀	φ: D₆/C₆ → C₂ ⊆ Out D₂₀	240		D20:18D6	480,376
D₂₀:₁₉D₆ = D₂₀:₁₉D₆	φ: D₆/C₆ → C₂ ⊆ Out D₂₀	120	4+	D20:19D6	480,377
D₂₀:₂₀D₆ = C₂xC₁₅:D₈	φ: D₆/C₆ → C₂ ⊆ Out D₂₀	240		D20:20D6	480,372
D₂₀:₂₁D₆ = D₂₀:₂₁D₆	φ: D₆/C₆ → C₂ ⊆ Out D₂₀	120	4	D20:21D6	480,375
D₂₀:₂₂D₆ = C₂xD₂₀:S₃	φ: D₆/C₆ → C₂ ⊆ Out D₂₀	240		D20:22D6	480,1075
D₂₀:₂₃D₆ = C₂xC₂₀:D₆	φ: D₆/C₆ → C₂ ⊆ Out D₂₀	120		D20:23D6	480,1089
D₂₀:₂₄D₆ = D₂₀:₂₄D₆	φ: D₆/C₆ → C₂ ⊆ Out D₂₀	120	4	D20:24D6	480,1092
D₂₀:₂₅D₆ = D₂₀:₂₅D₆	φ: D₆/C₆ → C₂ ⊆ Out D₂₀	120	4	D20:25D6	480,1093
D₂₀:₂₆D₆ = D₂₀:₂₆D₆	φ: D₆/C₆ → C₂ ⊆ Out D₂₀	120	4	D20:26D6	480,1094
D₂₀:₂₇D₆ = C₂xD₂₀:₅S₃	φ: trivial image	240		D20:27D6	480,1074
D₂₀:₂₈D₆ = S₃xC₄oD₂₀	φ: trivial image	120	4	D20:28D6	480,1091
D₂₀:₂₉D₆ = D₂₀:₂₉D₆	φ: trivial image	120	4+	D20:29D6	480,1095

Non-split extensions G=N.Q with N=D₂₀ and Q=D₆

extension	φ:Q→Out N	d	ρ	Label	ID
D₂₀.₁D₆ = C₄₀:₁₄D₆	φ: D₆/C₃ → C₂² ⊆ Out D₂₀	120	4	D20.1D6	480,331
D₂₀.₂D₆ = D₂₄:₆D₅	φ: D₆/C₃ → C₂² ⊆ Out D₂₀	120	4	D20.2D6	480,333
D₂₀.₃D₆ = Dic₆.D₁₀	φ: D₆/C₃ → C₂² ⊆ Out D₂₀	240	4	D20.3D6	480,352
D₂₀.₄D₆ = D₄₀:₅S₃	φ: D₆/C₃ → C₂² ⊆ Out D₂₀	240	4	D20.4D6	480,353
D₂₀.₅D₆ = D₃₀.₃D₄	φ: D₆/C₃ → C₂² ⊆ Out D₂₀	240	4	D20.5D6	480,354
D₂₀.₆D₆ = D₃₀.₈D₄	φ: D₆/C₃ → C₂² ⊆ Out D₂₀	120	8-	D20.6D6	480,558
D₂₀.₇D₆ = D₅xD₄.S₃	φ: D₆/C₃ → C₂² ⊆ Out D₂₀	120	8-	D20.7D6	480,559
D₂₀.₈D₆ = D₁₂:₁₀D₁₀	φ: D₆/C₃ → C₂² ⊆ Out D₂₀	120	8-	D20.8D6	480,565
D₂₀.₉D₆ = D₂₀.₉D₆	φ: D₆/C₃ → C₂² ⊆ Out D₂₀	120	8+	D20.9D6	480,567
D₂₀.₁₀D₆ = D₂₀.₁₀D₆	φ: D₆/C₃ → C₂² ⊆ Out D₂₀	240	8-	D20.10D6	480,573
D₂₀.₁₁D₆ = D₁₅:SD₁₆	φ: D₆/C₃ → C₂² ⊆ Out D₂₀	120	8-	D20.11D6	480,581
D₂₀.₁₂D₆ = D₆₀:C₂²	φ: D₆/C₃ → C₂² ⊆ Out D₂₀	120	8+	D20.12D6	480,582
D₂₀.₁₃D₆ = D₂₀.₁₃D₆	φ: D₆/C₃ → C₂² ⊆ Out D₂₀	240	8-	D20.13D6	480,584
D₂₀.₁₄D₆ = D₂₀.₁₄D₆	φ: D₆/C₃ → C₂² ⊆ Out D₂₀	240	8-	D20.14D6	480,590
D₂₀.₁₅D₆ = D₂₀.D₆	φ: D₆/C₃ → C₂² ⊆ Out D₂₀	240	8+	D20.15D6	480,592
D₂₀.₁₆D₆ = D₂₀.₁₆D₆	φ: D₆/C₃ → C₂² ⊆ Out D₂₀	240	8+	D20.16D6	480,597
D₂₀.₁₇D₆ = D₂₀.₁₇D₆	φ: D₆/C₃ → C₂² ⊆ Out D₂₀	240	8-	D20.17D6	480,598
D₂₀.₁₈D₆ = S₃xC₄₀:C₂	φ: D₆/S₃ → C₂ ⊆ Out D₂₀	120	4	D20.18D6	480,327
D₂₀.₁₉D₆ = C₄₀:₁D₆	φ: D₆/S₃ → C₂ ⊆ Out D₂₀	120	4+	D20.19D6	480,329
D₂₀.₂₀D₆ = D₆.₁D₂₀	φ: D₆/S₃ → C₂ ⊆ Out D₂₀	240	4	D20.20D6	480,348
D₂₀.₂₁D₆ = D₄₀:₇S₃	φ: D₆/S₃ → C₂ ⊆ Out D₂₀	240	4-	D20.21D6	480,349
D₂₀.₂₂D₆ = C₄₀.₂D₆	φ: D₆/S₃ → C₂ ⊆ Out D₂₀	240	4-	D20.22D6	480,350
D₂₀.₂₃D₆ = D₆₀.C₂²	φ: D₆/S₃ → C₂ ⊆ Out D₂₀	120	8+	D20.23D6	480,556
D₂₀.₂₄D₆ = D₂₀.₂₄D₆	φ: D₆/S₃ → C₂ ⊆ Out D₂₀	240	8-	D20.24D6	480,569
D₂₀.₂₅D₆ = S₃xQ₈:D₅	φ: D₆/S₃ → C₂ ⊆ Out D₂₀	120	8+	D20.25D6	480,579
D₂₀.₂₆D₆ = D₁₂:D₁₀	φ: D₆/S₃ → C₂ ⊆ Out D₂₀	120	8+	D20.26D6	480,580
D₂₀.₂₇D₆ = D₂₀.₂₇D₆	φ: D₆/S₃ → C₂ ⊆ Out D₂₀	240	8-	D20.27D6	480,593
D₂₀.₂₈D₆ = D₂₀.₂₈D₆	φ: D₆/S₃ → C₂ ⊆ Out D₂₀	240	8-	D20.28D6	480,594
D₂₀.₂₉D₆ = D₂₀.₂₉D₆	φ: D₆/S₃ → C₂ ⊆ Out D₂₀	240	8-	D20.29D6	480,1104
D₂₀.₃₀D₆ = C₂xC₆.D₂₀	φ: D₆/C₆ → C₂ ⊆ Out D₂₀	240		D20.30D6	480,386
D₂₀.₃₁D₆ = D₂₀.₃₁D₆	φ: D₆/C₆ → C₂ ⊆ Out D₂₀	240	4	D20.31D6	480,387
D₂₀.₃₂D₆ = D₆₀:₃₀C₂²	φ: D₆/C₆ → C₂ ⊆ Out D₂₀	120	4	D20.32D6	480,388
D₂₀.₃₃D₆ = C₆₀.₆₃D₄	φ: D₆/C₆ → C₂ ⊆ Out D₂₀	240	4-	D20.33D6	480,389
D₂₀.₃₄D₆ = D₂₀.₃₄D₆	φ: D₆/C₆ → C₂ ⊆ Out D₂₀	240	4	D20.34D6	480,373
D₂₀.₃₅D₆ = C₆₀.₃₆D₄	φ: D₆/C₆ → C₂ ⊆ Out D₂₀	120	4	D20.35D6	480,374
D₂₀.₃₆D₆ = C₂xC₃₀.D₄	φ: D₆/C₆ → C₂ ⊆ Out D₂₀	240		D20.36D6	480,382
D₂₀.₃₇D₆ = D₂₀.₃₇D₆	φ: D₆/C₆ → C₂ ⊆ Out D₂₀	240	4	D20.37D6	480,383
D₂₀.₃₈D₆ = D₂₀.₃₈D₆	φ: D₆/C₆ → C₂ ⊆ Out D₂₀	240	4	D20.38D6	480,1076
D₂₀.₃₉D₆ = D₂₀.₃₉D₆	φ: trivial image	240	4-	D20.39D6	480,1077

Extensions 1→N→G→Q→1 with N=D20 and Q=D6

Extensions 1→N→G→Q→1 with N=D₂₀ and Q=D₆