Extensions 1→N→G→Q→1 with N=Dic₁₀ and Q=D₆

Direct product G=N×Q with N=Dic₁₀ and Q=D₆

		d	ρ	Label	ID
C₂×S₃×Dic₁₀		240		C2xS3xDic10	480,1078

Semidirect products G=N:Q with N=Dic₁₀ and Q=D₆

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₁₀⋊₁D₆ = C₄₀⋊₁₄D₆	φ: D₆/C₃ → C₂² ⊆ Out Dic₁₀	120	4	Dic10:1D6	480,331
Dic₁₀⋊₂D₆ = D₂₄⋊₆D₅	φ: D₆/C₃ → C₂² ⊆ Out Dic₁₀	120	4	Dic10:2D6	480,333
Dic₁₀⋊₃D₆ = Dic₁₀⋊₃D₆	φ: D₆/C₃ → C₂² ⊆ Out Dic₁₀	120	8+	Dic10:3D6	480,554
Dic₁₀⋊₄D₆ = Dic₁₀⋊D₆	φ: D₆/C₃ → C₂² ⊆ Out Dic₁₀	120	8+	Dic10:4D6	480,563
Dic₁₀⋊₅D₆ = D₁₂⋊₅D₁₀	φ: D₆/C₃ → C₂² ⊆ Out Dic₁₀	120	8+	Dic10:5D6	480,576
Dic₁₀⋊₆D₆ = D₅×Q₈⋊₂S₃	φ: D₆/C₃ → C₂² ⊆ Out Dic₁₀	120	8+	Dic10:6D6	480,577
Dic₁₀⋊₇D₆ = S₃×C₄₀⋊C₂	φ: D₆/S₃ → C₂ ⊆ Out Dic₁₀	120	4	Dic10:7D6	480,327
Dic₁₀⋊₈D₆ = C₄₀⋊₁D₆	φ: D₆/S₃ → C₂ ⊆ Out Dic₁₀	120	4+	Dic10:8D6	480,329
Dic₁₀⋊₉D₆ = S₃×D₄.D₅	φ: D₆/S₃ → C₂ ⊆ Out Dic₁₀	120	8-	Dic10:9D6	480,561
Dic₁₀⋊₁₀D₆ = D₁₂.₉D₁₀	φ: D₆/S₃ → C₂ ⊆ Out Dic₁₀	120	8+	Dic10:10D6	480,572
Dic₁₀⋊₁₁D₆ = S₃×D₄⋊₂D₅	φ: D₆/S₃ → C₂ ⊆ Out Dic₁₀	120	8-	Dic10:11D6	480,1099
Dic₁₀⋊₁₂D₆ = D₃₀.C₂³	φ: D₆/S₃ → C₂ ⊆ Out Dic₁₀	120	8+	Dic10:12D6	480,1100
Dic₁₀⋊₁₃D₆ = D₁₂⋊₁₄D₁₀	φ: D₆/S₃ → C₂ ⊆ Out Dic₁₀	120	8+	Dic10:13D6	480,1103
Dic₁₀⋊₁₄D₆ = S₃×Q₈×D₅	φ: D₆/S₃ → C₂ ⊆ Out Dic₁₀	120	8-	Dic10:14D6	480,1107
Dic₁₀⋊₁₅D₆ = D₅×Q₈⋊₃S₃	φ: D₆/S₃ → C₂ ⊆ Out Dic₁₀	120	8+	Dic10:15D6	480,1108
Dic₁₀⋊₁₆D₆ = D₂₀⋊₁₉D₆	φ: D₆/C₆ → C₂ ⊆ Out Dic₁₀	120	4+	Dic10:16D6	480,377
Dic₁₀⋊₁₇D₆ = C₂×C₁₅⋊SD₁₆	φ: D₆/C₆ → C₂ ⊆ Out Dic₁₀	240		Dic10:17D6	480,390
Dic₁₀⋊₁₈D₆ = D₂₀⋊₂₁D₆	φ: D₆/C₆ → C₂ ⊆ Out Dic₁₀	120	4	Dic10:18D6	480,375
Dic₁₀⋊₁₉D₆ = C₂×C₂₀.D₆	φ: D₆/C₆ → C₂ ⊆ Out Dic₁₀	240		Dic10:19D6	480,384
Dic₁₀⋊₂₀D₆ = C₂×D₁₂⋊D₅	φ: D₆/C₆ → C₂ ⊆ Out Dic₁₀	240		Dic10:20D6	480,1079
Dic₁₀⋊₂₁D₆ = C₂×D₁₅⋊Q₈	φ: D₆/C₆ → C₂ ⊆ Out Dic₁₀	240		Dic10:21D6	480,1082
Dic₁₀⋊₂₂D₆ = D₂₀⋊₂₄D₆	φ: D₆/C₆ → C₂ ⊆ Out Dic₁₀	120	4	Dic10:22D6	480,1092
Dic₁₀⋊₂₃D₆ = D₂₀⋊₂₆D₆	φ: D₆/C₆ → C₂ ⊆ Out Dic₁₀	120	4	Dic10:23D6	480,1094
Dic₁₀⋊₂₄D₆ = C₂×D₆₀⋊C₂	φ: trivial image	240		Dic10:24D6	480,1081
Dic₁₀⋊₂₅D₆ = S₃×C₄○D₂₀	φ: trivial image	120	4	Dic10:25D6	480,1091
Dic₁₀⋊₂₆D₆ = D₂₀⋊₂₉D₆	φ: trivial image	120	4+	Dic10:26D6	480,1095

Non-split extensions G=N.Q with N=Dic₁₀ and Q=D₆

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₁₀.₁D₆ = Dic₁₀.D₆	φ: D₆/C₃ → C₂² ⊆ Out Dic₁₀	240	4	Dic10.1D6	480,340
Dic₁₀.₂D₆ = Dic₆.D₁₀	φ: D₆/C₃ → C₂² ⊆ Out Dic₁₀	240	4	Dic10.2D6	480,352
Dic₁₀.₃D₆ = D₃₀.₃D₄	φ: D₆/C₃ → C₂² ⊆ Out Dic₁₀	240	4	Dic10.3D6	480,354
Dic₁₀.₄D₆ = D₂₄⋊₅D₅	φ: D₆/C₃ → C₂² ⊆ Out Dic₁₀	240	4	Dic10.4D6	480,355
Dic₁₀.₅D₆ = D₃₀.₄D₄	φ: D₆/C₃ → C₂² ⊆ Out Dic₁₀	240	4	Dic10.5D6	480,356
Dic₁₀.₆D₆ = C₆₀.₈C₂³	φ: D₆/C₃ → C₂² ⊆ Out Dic₁₀	240	8-	Dic10.6D6	480,560
Dic₁₀.₇D₆ = D₃₀.₉D₄	φ: D₆/C₃ → C₂² ⊆ Out Dic₁₀	240	8-	Dic10.7D6	480,564
Dic₁₀.₈D₆ = D₁₂.₂₄D₁₀	φ: D₆/C₃ → C₂² ⊆ Out Dic₁₀	240	8-	Dic10.8D6	480,566
Dic₁₀.₉D₆ = C₆₀.₁₆C₂³	φ: D₆/C₃ → C₂² ⊆ Out Dic₁₀	240	8+	Dic10.9D6	480,568
Dic₁₀.₁₀D₆ = D₃₀.₁₁D₄	φ: D₆/C₃ → C₂² ⊆ Out Dic₁₀	240	8-	Dic10.10D6	480,575
Dic₁₀.₁₁D₆ = D₅×C₃⋊Q₁₆	φ: D₆/C₃ → C₂² ⊆ Out Dic₁₀	240	8-	Dic10.11D6	480,583
Dic₁₀.₁₂D₆ = D₁₅⋊Q₁₆	φ: D₆/C₃ → C₂² ⊆ Out Dic₁₀	240	8-	Dic10.12D6	480,587
Dic₁₀.₁₃D₆ = C₆₀.C₂³	φ: D₆/C₃ → C₂² ⊆ Out Dic₁₀	240	8+	Dic10.13D6	480,588
Dic₁₀.₁₄D₆ = D₁₂.₂₇D₁₀	φ: D₆/C₃ → C₂² ⊆ Out Dic₁₀	240	8-	Dic10.14D6	480,589
Dic₁₀.₁₅D₆ = C₆₀.₃₉C₂³	φ: D₆/C₃ → C₂² ⊆ Out Dic₁₀	240	8+	Dic10.15D6	480,591
Dic₁₀.₁₆D₆ = D₁₂.D₁₀	φ: D₆/C₃ → C₂² ⊆ Out Dic₁₀	240	8+	Dic10.16D6	480,599
Dic₁₀.₁₇D₆ = D₃₀.₄₄D₄	φ: D₆/C₃ → C₂² ⊆ Out Dic₁₀	240	8-	Dic10.17D6	480,600
Dic₁₀.₁₈D₆ = S₃×Dic₂₀	φ: D₆/S₃ → C₂ ⊆ Out Dic₁₀	240	4-	Dic10.18D6	480,338
Dic₁₀.₁₉D₆ = Dic₂₀⋊S₃	φ: D₆/S₃ → C₂ ⊆ Out Dic₁₀	240	4	Dic10.19D6	480,339
Dic₁₀.₂₀D₆ = D₆.₁D₂₀	φ: D₆/S₃ → C₂ ⊆ Out Dic₁₀	240	4	Dic10.20D6	480,348
Dic₁₀.₂₁D₆ = C₄₀.₂D₆	φ: D₆/S₃ → C₂ ⊆ Out Dic₁₀	240	4-	Dic10.21D6	480,350
Dic₁₀.₂₂D₆ = D₁₂₀⋊₅C₂	φ: D₆/S₃ → C₂ ⊆ Out Dic₁₀	240	4+	Dic10.22D6	480,351
Dic₁₀.₂₃D₆ = C₆₀.₁₀C₂³	φ: D₆/S₃ → C₂ ⊆ Out Dic₁₀	240	8-	Dic10.23D6	480,562
Dic₁₀.₂₄D₆ = C₆₀.₁₉C₂³	φ: D₆/S₃ → C₂ ⊆ Out Dic₁₀	240	8+	Dic10.24D6	480,571
Dic₁₀.₂₅D₆ = S₃×C₅⋊Q₁₆	φ: D₆/S₃ → C₂ ⊆ Out Dic₁₀	240	8-	Dic10.25D6	480,585
Dic₁₀.₂₆D₆ = Dic₁₀.₂₆D₆	φ: D₆/S₃ → C₂ ⊆ Out Dic₁₀	240	8-	Dic10.26D6	480,586
Dic₁₀.₂₇D₆ = Dic₁₀.₂₇D₆	φ: D₆/S₃ → C₂ ⊆ Out Dic₁₀	240	8+	Dic10.27D6	480,595
Dic₁₀.₂₈D₆ = C₆₀.₄₄C₂³	φ: D₆/S₃ → C₂ ⊆ Out Dic₁₀	240	8+	Dic10.28D6	480,596
Dic₁₀.₂₉D₆ = C₁₅⋊2_-¹⁺⁴	φ: D₆/S₃ → C₂ ⊆ Out Dic₁₀	240	8-	Dic10.29D6	480,1096
Dic₁₀.₃₀D₆ = C₃₀.₃₃C₂⁴	φ: D₆/S₃ → C₂ ⊆ Out Dic₁₀	240	8+	Dic10.30D6	480,1105
Dic₁₀.₃₁D₆ = D₁₂.₂₉D₁₀	φ: D₆/S₃ → C₂ ⊆ Out Dic₁₀	240	8-	Dic10.31D6	480,1106
Dic₁₀.₃₂D₆ = D₂₀.₃₁D₆	φ: D₆/C₆ → C₂ ⊆ Out Dic₁₀	240	4	Dic10.32D6	480,387
Dic₁₀.₃₃D₆ = C₆₀.₆₃D₄	φ: D₆/C₆ → C₂ ⊆ Out Dic₁₀	240	4-	Dic10.33D6	480,389
Dic₁₀.₃₄D₆ = C₁₂.D₂₀	φ: D₆/C₆ → C₂ ⊆ Out Dic₁₀	240	4	Dic10.34D6	480,391
Dic₁₀.₃₅D₆ = C₂×C₃⋊Dic₂₀	φ: D₆/C₆ → C₂ ⊆ Out Dic₁₀	480		Dic10.35D6	480,395
Dic₁₀.₃₆D₆ = D₂₀.₃₄D₆	φ: D₆/C₆ → C₂ ⊆ Out Dic₁₀	240	4	Dic10.36D6	480,373
Dic₁₀.₃₇D₆ = D₂₀.₃₇D₆	φ: D₆/C₆ → C₂ ⊆ Out Dic₁₀	240	4	Dic10.37D6	480,383
Dic₁₀.₃₈D₆ = D₁₂.₃₇D₁₀	φ: D₆/C₆ → C₂ ⊆ Out Dic₁₀	240	4	Dic10.38D6	480,385
Dic₁₀.₃₉D₆ = C₂×C₁₅⋊Q₁₆	φ: D₆/C₆ → C₂ ⊆ Out Dic₁₀	480		Dic10.39D6	480,394
Dic₁₀.₄₀D₆ = D₂₀.₃₈D₆	φ: D₆/C₆ → C₂ ⊆ Out Dic₁₀	240	4	Dic10.40D6	480,1076
Dic₁₀.₄₁D₆ = C₃₀.C₂⁴	φ: D₆/C₆ → C₂ ⊆ Out Dic₁₀	240	4	Dic10.41D6	480,1080
Dic₁₀.₄₂D₆ = D₂₀.₃₉D₆	φ: trivial image	240	4-	Dic10.42D6	480,1077

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Extensions 1→N→G→Q→1 with N=Dic10 and Q=D6

Extensions 1→N→G→Q→1 with N=Dic₁₀ and Q=D₆