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

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

		d	ρ	Label	ID
C₂×S₃×D₂₀		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 = D₅×D₄⋊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 = S₃×D₄₀	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 = S₃×D₄⋊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 = S₃×D₄×D₅	φ: D₆/S₃ → C₂ ⊆ Out D₂₀	60	8+	D20:11D6	480,1097
D₂₀⋊₁₂D₆ = D₅×D₄⋊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 = S₃×Q₈⋊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 = C₂×C₃⋊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 = C₂×C₁₅⋊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 = C₂×D₂₀⋊S₃	φ: D₆/C₆ → C₂ ⊆ Out D₂₀	240		D20:22D6	480,1075
D₂₀⋊₂₃D₆ = C₂×C₂₀⋊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 = C₂×D₂₀⋊₅S₃	φ: trivial image	240		D20:27D6	480,1074
D₂₀⋊₂₈D₆ = S₃×C₄○D₂₀	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 = D₅×D₄.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 = S₃×C₄₀⋊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 = S₃×Q₈⋊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 = C₂×C₆.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 = C₂×C₃₀.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

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

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