Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
332 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 332 conjugacy classes of subgroups — too many to draw. Only its 93 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #13093184 | C2 | semidirect |
| 2. #13092434 | C2 | semidirect |
| 3. #13092391 | C2 | semidirect |
| 4. #13092177 | C2 | semidirect |
| 8. C23×C4⋊Q8 | C4 | semidirect |
| 9. C23×#127 | C4 | semidirect |
| 10. C23×#124 | C4 | semidirect |
| 11. C23×#124 | C4 | semidirect |
| 47. #67267 | D4 | semidirect |
| 106. C4⋊Q8 | Dic23 | semidirect |
| 107. #127 | Dic23 | semidirect |
| 108. #124 | Dic23 | semidirect |
| 109. #124 | Dic23 | semidirect |
| 116. C23 | #1884 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13093184 | 2 |
| #13092434 | 2 |
| #13092391 | 2 |
| #13092177 | 2 |
| C23×#532 | 2 |
| #1884 | 23 |