Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
736 conjugacy classes of subgroups; only the 145 normal subgroups are shown.
This group has 736 conjugacy classes of subgroups — too many to draw. Only its 145 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. #13093253 | C2 | semidirect |
| 2. C2×#10625103 | C2 | semidirect |
| 3. #13092589 | C2 | semidirect |
| 4. #13092584 | C2 | semidirect |
| 5. #13092435 | C2 | semidirect |
| 6. #13092401 | C2 | semidirect |
| 7. C23×#535 | C2 | semidirect |
| 9. C22×D4×C23 | C22 | semidirect |
| 13. #10625158 | C22 | semidirect |
| 15. #10625155 | C22 | semidirect |
| 18. C23×#127 | C22 | semidirect |
| 19. C23×#124 | C22 | semidirect |
| 22. C23×#117 | C22 | semidirect |
| 25. #10625103 | C22 | semidirect |
| 27. C2×#67267 | C22 | semidirect |
| 28. #10625018 | C22 | semidirect |
| 29. #10625015 | C22 | semidirect |
| 30. #10624987 | C22 | semidirect |
| 57. #67288 | D4 | semidirect |
| 60. C2×D92 | D4 | semidirect |
| 64. C2×Dic46 | D4 | semidirect |
| 131. #535 | D23 | semidirect |
| 151. C22×D4 | C2×D23 | semidirect |
| 157. #127 | C2×D23 | semidirect |
| 158. #124 | C2×D23 | semidirect |
| 161. #117 | C2×D23 | semidirect |
| 165. C23 | #3021 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13093253 | 2 |
| C2×#10625103 | 2 |
| #13092589 | 2 |
| #13092584 | 2 |
| #13092435 | 2 |
| #13092401 | 2 |
| C23×#535 | 2 |
| #3021 | 23 |