Extensions 1→N→G→Q→1 with N=Dic₆ and Q=D₁₀

Direct product G=N×Q with N=Dic₆ and Q=D₁₀

		d	ρ	Label	ID
C₂×D₅×Dic₆		240		C2xD5xDic6	480,1073

Semidirect products G=N:Q with N=Dic₆ and Q=D₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₆⋊₁D₁₀ = C₄₀⋊₁₄D₆	φ: D₁₀/C₅ → C₂² ⊆ Out Dic₆	120	4	Dic6:1D10	480,331
Dic₆⋊₂D₁₀ = C₄₀⋊₈D₆	φ: D₁₀/C₅ → C₂² ⊆ Out Dic₆	120	4	Dic6:2D10	480,334
Dic₆⋊₃D₁₀ = D₆₀.C₂²	φ: D₁₀/C₅ → C₂² ⊆ Out Dic₆	120	8+	Dic6:3D10	480,556
Dic₆⋊₄D₁₀ = Dic₁₀⋊D₆	φ: D₁₀/C₅ → C₂² ⊆ Out Dic₆	120	8+	Dic6:4D10	480,563
Dic₆⋊₅D₁₀ = Dic₆⋊D₁₀	φ: D₁₀/C₅ → C₂² ⊆ Out Dic₆	120	8+	Dic6:5D10	480,574
Dic₆⋊₆D₁₀ = S₃×Q₈⋊D₅	φ: D₁₀/C₅ → C₂² ⊆ Out Dic₆	120	8+	Dic6:6D10	480,579
Dic₆⋊₇D₁₀ = D₅×C₂₄⋊C₂	φ: D₁₀/D₅ → C₂ ⊆ Out Dic₆	120	4	Dic6:7D10	480,323
Dic₆⋊₈D₁₀ = C₂₄⋊D₁₀	φ: D₁₀/D₅ → C₂ ⊆ Out Dic₆	120	4+	Dic6:8D10	480,325
Dic₆⋊₉D₁₀ = D₅×D₄.S₃	φ: D₁₀/D₅ → C₂ ⊆ Out Dic₆	120	8-	Dic6:9D10	480,559
Dic₆⋊₁₀D₁₀ = D₂₀.₉D₆	φ: D₁₀/D₅ → C₂ ⊆ Out Dic₆	120	8+	Dic6:10D10	480,567
Dic₆⋊₁₁D₁₀ = D₅×D₄⋊₂S₃	φ: D₁₀/D₅ → C₂ ⊆ Out Dic₆	120	8-	Dic6:11D10	480,1098
Dic₆⋊₁₂D₁₀ = D₃₀.C₂³	φ: D₁₀/D₅ → C₂ ⊆ Out Dic₆	120	8+	Dic6:12D10	480,1100
Dic₆⋊₁₃D₁₀ = D₂₀⋊₁₄D₆	φ: D₁₀/D₅ → C₂ ⊆ Out Dic₆	120	8+	Dic6:13D10	480,1102
Dic₆⋊₁₄D₁₀ = S₃×Q₈×D₅	φ: D₁₀/D₅ → C₂ ⊆ Out Dic₆	120	8-	Dic6:14D10	480,1107
Dic₆⋊₁₅D₁₀ = S₃×Q₈⋊₂D₅	φ: D₁₀/D₅ → C₂ ⊆ Out Dic₆	120	8+	Dic6:15D10	480,1109
Dic₆⋊₁₆D₁₀ = C₆₀.₃₈D₄	φ: D₁₀/C₁₀ → C₂ ⊆ Out Dic₆	120	4+	Dic6:16D10	480,381
Dic₆⋊₁₇D₁₀ = C₂×Dic₆⋊D₅	φ: D₁₀/C₁₀ → C₂ ⊆ Out Dic₆	240		Dic6:17D10	480,393
Dic₆⋊₁₈D₁₀ = C₆₀.₃₆D₄	φ: D₁₀/C₁₀ → C₂ ⊆ Out Dic₆	120	4	Dic6:18D10	480,374
Dic₆⋊₁₉D₁₀ = C₂×C₃₀.D₄	φ: D₁₀/C₁₀ → C₂ ⊆ Out Dic₆	240		Dic6:19D10	480,382
Dic₆⋊₂₀D₁₀ = C₂×D₂₀⋊S₃	φ: D₁₀/C₁₀ → C₂ ⊆ Out Dic₆	240		Dic6:20D10	480,1075
Dic₆⋊₂₁D₁₀ = C₂×D₁₅⋊Q₈	φ: D₁₀/C₁₀ → C₂ ⊆ Out Dic₆	240		Dic6:21D10	480,1082
Dic₆⋊₂₂D₁₀ = D₂₀⋊₂₄D₆	φ: D₁₀/C₁₀ → C₂ ⊆ Out Dic₆	120	4	Dic6:22D10	480,1092
Dic₆⋊₂₃D₁₀ = D₂₀⋊₂₅D₆	φ: D₁₀/C₁₀ → C₂ ⊆ Out Dic₆	120	4	Dic6:23D10	480,1093
Dic₆⋊₂₄D₁₀ = C₂×C₁₂.₂₈D₁₀	φ: trivial image	240		Dic6:24D10	480,1085
Dic₆⋊₂₅D₁₀ = D₅×C₄○D₁₂	φ: trivial image	120	4	Dic6:25D10	480,1090
Dic₆⋊₂₆D₁₀ = D₂₀⋊₂₉D₆	φ: trivial image	120	4+	Dic6:26D10	480,1095

Non-split extensions G=N.Q with N=Dic₆ and Q=D₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₆.₁D₁₀ = Dic₁₀.D₆	φ: D₁₀/C₅ → C₂² ⊆ Out Dic₆	240	4	Dic6.1D10	480,340
Dic₆.₂D₁₀ = Dic₆.D₁₀	φ: D₁₀/C₅ → C₂² ⊆ Out Dic₆	240	4	Dic6.2D10	480,352
Dic₆.₃D₁₀ = D₄₀⋊₅S₃	φ: D₁₀/C₅ → C₂² ⊆ Out Dic₆	240	4	Dic6.3D10	480,353
Dic₆.₄D₁₀ = D₃₀.₃D₄	φ: D₁₀/C₅ → C₂² ⊆ Out Dic₆	240	4	Dic6.4D10	480,354
Dic₆.₅D₁₀ = D₃₀.₄D₄	φ: D₁₀/C₅ → C₂² ⊆ Out Dic₆	240	4	Dic6.5D10	480,356
Dic₆.₆D₁₀ = C₆₀.₁₀C₂³	φ: D₁₀/C₅ → C₂² ⊆ Out Dic₆	240	8-	Dic6.6D10	480,562
Dic₆.₇D₁₀ = D₃₀.₉D₄	φ: D₁₀/C₅ → C₂² ⊆ Out Dic₆	240	8-	Dic6.7D10	480,564
Dic₆.₈D₁₀ = D₂₀.₂₄D₆	φ: D₁₀/C₅ → C₂² ⊆ Out Dic₆	240	8-	Dic6.8D10	480,569
Dic₆.₉D₁₀ = C₆₀.₁₉C₂³	φ: D₁₀/C₅ → C₂² ⊆ Out Dic₆	240	8+	Dic6.9D10	480,571
Dic₆.₁₀D₁₀ = D₂₀.₁₀D₆	φ: D₁₀/C₅ → C₂² ⊆ Out Dic₆	240	8-	Dic6.10D10	480,573
Dic₆.₁₁D₁₀ = S₃×C₅⋊Q₁₆	φ: D₁₀/C₅ → C₂² ⊆ Out Dic₆	240	8-	Dic6.11D10	480,585
Dic₆.₁₂D₁₀ = D₁₅⋊Q₁₆	φ: D₁₀/C₅ → C₂² ⊆ Out Dic₆	240	8-	Dic6.12D10	480,587
Dic₆.₁₃D₁₀ = C₆₀.C₂³	φ: D₁₀/C₅ → C₂² ⊆ Out Dic₆	240	8+	Dic6.13D10	480,588
Dic₆.₁₄D₁₀ = D₂₀.₂₈D₆	φ: D₁₀/C₅ → C₂² ⊆ Out Dic₆	240	8-	Dic6.14D10	480,594
Dic₆.₁₅D₁₀ = C₆₀.₄₄C₂³	φ: D₁₀/C₅ → C₂² ⊆ Out Dic₆	240	8+	Dic6.15D10	480,596
Dic₆.₁₆D₁₀ = D₂₀.₁₆D₆	φ: D₁₀/C₅ → C₂² ⊆ Out Dic₆	240	8+	Dic6.16D10	480,597
Dic₆.₁₇D₁₀ = D₂₀.₁₇D₆	φ: D₁₀/C₅ → C₂² ⊆ Out Dic₆	240	8-	Dic6.17D10	480,598
Dic₆.₁₈D₁₀ = D₅×Dic₁₂	φ: D₁₀/D₅ → C₂ ⊆ Out Dic₆	240	4-	Dic6.18D10	480,335
Dic₆.₁₉D₁₀ = Dic₆₀⋊C₂	φ: D₁₀/D₅ → C₂ ⊆ Out Dic₆	240	4-	Dic6.19D10	480,336
Dic₆.₂₀D₁₀ = C₂₄.₂D₁₀	φ: D₁₀/D₅ → C₂ ⊆ Out Dic₆	240	4	Dic6.20D10	480,337
Dic₆.₂₁D₁₀ = C₄₀.₃₁D₆	φ: D₁₀/D₅ → C₂ ⊆ Out Dic₆	240	4	Dic6.21D10	480,345
Dic₆.₂₂D₁₀ = D₁₂₀⋊C₂	φ: D₁₀/D₅ → C₂ ⊆ Out Dic₆	240	4+	Dic6.22D10	480,347
Dic₆.₂₃D₁₀ = C₆₀.₈C₂³	φ: D₁₀/D₅ → C₂ ⊆ Out Dic₆	240	8-	Dic6.23D10	480,560
Dic₆.₂₄D₁₀ = C₆₀.₁₆C₂³	φ: D₁₀/D₅ → C₂ ⊆ Out Dic₆	240	8+	Dic6.24D10	480,568
Dic₆.₂₅D₁₀ = D₅×C₃⋊Q₁₆	φ: D₁₀/D₅ → C₂ ⊆ Out Dic₆	240	8-	Dic6.25D10	480,583
Dic₆.₂₆D₁₀ = D₂₀.₁₃D₆	φ: D₁₀/D₅ → C₂ ⊆ Out Dic₆	240	8-	Dic6.26D10	480,584
Dic₆.₂₇D₁₀ = C₆₀.₃₉C₂³	φ: D₁₀/D₅ → C₂ ⊆ Out Dic₆	240	8+	Dic6.27D10	480,591
Dic₆.₂₈D₁₀ = D₂₀.D₆	φ: D₁₀/D₅ → C₂ ⊆ Out Dic₆	240	8+	Dic6.28D10	480,592
Dic₆.₂₉D₁₀ = C₁₅⋊2_-¹⁺⁴	φ: D₁₀/D₅ → C₂ ⊆ Out Dic₆	240	8-	Dic6.29D10	480,1096
Dic₆.₃₀D₁₀ = D₂₀.₂₉D₆	φ: D₁₀/D₅ → C₂ ⊆ Out Dic₆	240	8-	Dic6.30D10	480,1104
Dic₆.₃₁D₁₀ = C₃₀.₃₃C₂⁴	φ: D₁₀/D₅ → C₂ ⊆ Out Dic₆	240	8+	Dic6.31D10	480,1105
Dic₆.₃₂D₁₀ = C₂₀.₆₀D₁₂	φ: D₁₀/C₁₀ → C₂ ⊆ Out Dic₆	240	4	Dic6.32D10	480,379
Dic₆.₃₃D₁₀ = C₂×C₅⋊Dic₁₂	φ: D₁₀/C₁₀ → C₂ ⊆ Out Dic₆	480		Dic6.33D10	480,396
Dic₆.₃₄D₁₀ = C₂₀.D₁₂	φ: D₁₀/C₁₀ → C₂ ⊆ Out Dic₆	240	4	Dic6.34D10	480,397
Dic₆.₃₅D₁₀ = D₁₂.₃₃D₁₀	φ: D₁₀/C₁₀ → C₂ ⊆ Out Dic₆	240	4-	Dic6.35D10	480,398
Dic₆.₃₆D₁₀ = D₂₀.₃₄D₆	φ: D₁₀/C₁₀ → C₂ ⊆ Out Dic₆	240	4	Dic6.36D10	480,373
Dic₆.₃₇D₁₀ = D₂₀.₃₇D₆	φ: D₁₀/C₁₀ → C₂ ⊆ Out Dic₆	240	4	Dic6.37D10	480,383
Dic₆.₃₈D₁₀ = D₁₂.₃₇D₁₀	φ: D₁₀/C₁₀ → C₂ ⊆ Out Dic₆	240	4	Dic6.38D10	480,385
Dic₆.₃₉D₁₀ = C₂×C₁₅⋊Q₁₆	φ: D₁₀/C₁₀ → C₂ ⊆ Out Dic₆	480		Dic6.39D10	480,394
Dic₆.₄₀D₁₀ = C₃₀.C₂⁴	φ: D₁₀/C₁₀ → C₂ ⊆ Out Dic₆	240	4	Dic6.40D10	480,1080
Dic₆.₄₁D₁₀ = D₂₀.₃₈D₆	φ: trivial image	240	4	Dic6.41D10	480,1076
Dic₆.₄₂D₁₀ = D₂₀.₃₉D₆	φ: trivial image	240	4-	Dic6.42D10	480,1077

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Extensions 1→N→G→Q→1 with N=Dic6 and Q=D10

Extensions 1→N→G→Q→1 with N=Dic₆ and Q=D₁₀