Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
410 conjugacy classes of subgroups; only the 127 normal subgroups are shown.
This group has 410 conjugacy classes of subgroups — too many to draw. Only its 127 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 |
|---|---|---|
| 3. #13092757 | C2 | semidirect |
| 4. #13092756 | C2 | semidirect |
| 5. #13092751 | C2 | semidirect |
| 6. #13092746 | C2 | semidirect |
| 7. #13092460 | C2 | semidirect |
| 8. #13092459 | C2 | semidirect |
| 9. #13092426 | C2 | semidirect |
| 11. C23×#419 | C2 | semidirect |
| 33. C23×#103 | C22 | semidirect |
| 34. C23×#103 | C22 | semidirect |
| 35. #10625017 | C22 | semidirect |
| 36. #10625017 | C22 | semidirect |
| 39. #10625000 | C22 | semidirect |
| 40. #10624999 | C22 | semidirect |
| 41. #10624990 | C22 | semidirect |
| 42. #10624989 | C22 | semidirect |
| 150. #419 | D23 | semidirect |
| 185. #103 | C2×D23 | semidirect |
| 186. #103 | C2×D23 | semidirect |
| 189. C23 | #3095 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10625117 | 2 |
| #117×D23 | 2 |
| #13092757 | 2 |
| #13092756 | 2 |
| #13092751 | 2 |
| #13092746 | 2 |
| #13092460 | 2 |
| #13092459 | 2 |
| #13092426 | 2 |
| #13092380 | 2 |
| C23×#419 | 2 |
| #3095 | 23 |