Grup titik
Daftar grup titik > Five dimensions

The following table gives the five-dimensional reflection groups (excluding those that are lower-dimensional reflection groups), by listing them as Coxeter groups. Related chiral groups exist for each with half the order, and can be represented by the bracket Coxeter notation with a '+' exponent, for example [3,3,3,3]+ has four 3-fold gyration points and symmetry order 360.
| Coxeter group/notation | Coxeter group/notation | Coxeterdiagrams | Coxeterdiagrams | Order | Related regular and  prismatic polytopes |
| --- | --- | --- | --- | --- | --- |
| A5 | [3,3,3,3] |  |  | 720 | 5-simplex |
| A5×2 | [[3,3,3,3]] |  |  | 1440 | 5-simplex dual compound |
| BC5 | [4,3,3,3] |  |  | 3840 | 5-cube, 5-orthoplex |
| D5 | [32,1,1] |  |  | 1920 | 5-demicube |
| D5×2 | <[3,3,31,1]> |  |  =  | 3840 |  |
| A4×A1 | [3,3,3,2] |  |  | 240 | 5-cell prism |
| A4×A1×2 | [[3,3,3],2] |  |  | 480 |  |
| BC4×A1 | [4,3,3,2] |  |  | 768 | tesseract prism |
| F4×A1 | [3,4,3,2] |  |  | 2304 | 24-cell prism |
| F4×A1×2 | [[3,4,3],2] |  |  | 4608 | 24-cell prism |
| H4×A1 | [5,3,3,2] |  |  | 28800 | 600-cell or 120-cell prism |
| D4×A1 | [31,1,1,2] |  |  | 384 | Demitesseract prism |
| A3×A2 | [3,3,2,3] |  |  | 144 | Duoprism |
| A3×A2×2 | [[3,3],2,3] |  |  | 288 | Duoprism |
| A3×BC2 | [3,3,2,4] |  |  | 192 | Duoprism |
| A3×H2 | [3,3,2,5] |  |  | 240 | Duoprism |
| A3×G2 | [3,3,2,6] |  |  | 288 | Duoprism |
| A3×I2(p) | [3,3,2,p] |  |  | 48p | Duoprism |
| BC3×A2 | [4,3,2,3] |  |  | 288 | Duoprism |
| BC3×BC2 | [4,3,2,4] |  |  | 384 | Duoprism |
| BC3×H2 | [4,3,2,5] |  |  | 480 | Duoprism |
| BC3×G2 | [4,3,2,6] |  |  | 576 | Duoprism |
| BC3×I2(p) | [4,3,2,p] |  |  | 96p | Duoprism |
| H3×A2 | [5,3,2,3] |  |  | 720 | Duoprism |
| H3×BC2 | [5,3,2,4] |  |  | 960 | Duoprism |
| H3×H2 | [5,3,2,5] |  |  | 1200 | Duoprism |
| H3×G2 | [5,3,2,6] |  |  | 1440 | Duoprism |
| H3×I2(p) | [5,3,2,p] |  |  | 240p | Duoprism |
| A3×A12 | [3,3,2,2] |  |  | 96 | Duoprism |
| BC3×A12 | [4,3,2,2] |  |  | 192 | Duoprism |
| H3×A12 | [5,3,2,2] |  |  | 480 | Duoprism |
| A22×A1 | [3,2,3,2] |  |  | 72 | duoprism prism |
| A2×BC2×A1 | [3,2,4,2] |  |  | 96 | duoprism prism |
| A2×H2×A1 | [3,2,5,2] |  |  | 120 | duoprism prism |
| A2×G2×A1 | [3,2,6,2] |  |  | 144 | duoprism prism |
| BC22×A1 | [4,2,4,2] |  |  | 128 | duoprism prism |
| BC2×H2×A1 | [4,2,5,2] |  |  | 160 | duoprism prism |
| BC2×G2×A1 | [4,2,6,2] |  |  | 192 | duoprism prism |
| H22×A1 | [5,2,5,2] |  |  | 200 | duoprism prism |
| H2×G2×A1 | [5,2,6,2] |  |  | 240 | duoprism prism |
| G22×A1 | [6,2,6,2] |  |  | 288 | duoprism prism |
| I2(p)×I2(q)×A1 | [p,2,q,2] |  |  | 8pq | duoprism prism |
| A2×A13 | [3,2,2,2] |  |  | 48 | duoprism prism |
| BC2×A13 | [4,2,2,2] |  |  | 64 | duoprism prism |
| H2×A13 | [5,2,2,2] |  |  | 80 | duoprism prism |
| G2×A13 | [6,2,2,2] |  |  | 96 | duoprism prism |
| I2(p)×A13 | [p,2,2,2] |  |  | 16p | duoprism prism |
| A15 | [2,2,2,2] |  |  | 32 | 5-orthotope |
| A15×(2!) | [[2],2,2,2] |  |  =  | 64 | 5-orthotope |
| A15×(2!×2!) | [[2]],2,[2],2] |  |  =  | 128 | 5-orthotope |
| A15×(3!) | [3[2,2],2,2] |  |  =  | 192 | 5-orthotope |
| A15×(3!×2!) | [3[2,2],2,[[2]] |  |  =  | 384 | 5-orthotope |
| A15×(4!) | [3,3[2,2,2],2]] |  |  =  | 768 | 5-orthotope |
| A15×(5!) | [3,3,3[2,2,2,2]] |  |  =  | 3840 | 5-orthotope |