Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
462 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 462 conjugacy classes of subgroups — too many to draw. Only its 125 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. #13093128 | C2 | semidirect |
| 3. #13092765 | C2 | semidirect |
| 4. #13092737 | C2 | semidirect |
| 5. #13092647 | C2 | semidirect |
| 6. #13092618 | C2 | semidirect |
| 7. #13092569 | C2 | semidirect |
| 8. C4×#67273 | C2 | semidirect |
| 9. #13092482 | C2 | semidirect |
| 10. #102×D23 | C2 | semidirect |
| 11. C23×#476 | C2 | semidirect |
| 14. C23×C4⋊Q8 | C22 | semidirect |
| 19. C2×#67263 | C22 | semidirect |
| 20. C2×C8×D23 | C22 | semidirect |
| 21. #10625068 | C22 | semidirect |
| 24. C4⋊C4×D23 | C22 | semidirect |
| 29. C4×Dic46 | C22 | semidirect |
| 30. C23×#106 | C22 | semidirect |
| 31. C23×C4⋊C8 | C22 | semidirect |
| 34. #10625003 | C22 | semidirect |
| 35. (C2×D23)⋊C8 | C22 | semidirect |
| 36. #10624992 | C22 | semidirect |
| 37. #10624991 | C22 | semidirect |
| 38. #10624991 | C22 | semidirect |
| 39. #10624990 | C22 | semidirect |
| 40. C4×C23⋊C8 | C22 | semidirect |
| 101. D92 | SD16 | semidirect |
| 135. #476 | D23 | semidirect |
| 153. C4⋊Q8 | C2×D23 | semidirect |
| 167. #106 | C2×D23 | semidirect |
| 168. C4⋊C8 | C2×D23 | semidirect |
| 177. C23 | #3295 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13093128 | 2 |
| D4×D92 | 2 |
| #13092765 | 2 |
| #13092737 | 2 |
| #13092647 | 2 |
| #13092618 | 2 |
| #13092569 | 2 |
| C4×#67273 | 2 |
| #13092482 | 2 |
| #102×D23 | 2 |
| C23×#476 | 2 |
| #3295 | 23 |