Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
404 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 404 conjugacy classes of subgroups — too many to draw. Only its 133 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. #13093045 | C2 | semidirect |
| 3. #13092782 | C2 | semidirect |
| 4. #13092777 | C2 | semidirect |
| 5. #13092772 | C2 | semidirect |
| 6. #13092764 | C2 | semidirect |
| 7. #13092423 | C2 | semidirect |
| 8. #13092419 | C2 | semidirect |
| 9. #13092414 | C2 | semidirect |
| 10. C2×#10625003 | C2 | semidirect |
| 11. C23×#405 | C2 | semidirect |
| 27. #10625041 | C22 | semidirect |
| 28. #10625040 | C22 | semidirect |
| 29. C23×#97 | C22 | semidirect |
| 30. C4×C8×C23 | C22 | semidirect |
| 35. #10625003 | C22 | semidirect |
| 36. #10625003 | C22 | semidirect |
| 37. #10625003 | C22 | semidirect |
| 38. #10624998 | C22 | semidirect |
| 39. #10624998 | C22 | semidirect |
| 40. #10624998 | C22 | semidirect |
| 140. #405 | D23 | semidirect |
| 174. #97 | C2×D23 | semidirect |
| 175. C4×C8 | C2×D23 | semidirect |
| 176. C23 | #3136 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13093045 | 2 |
| #13092986 | 2 |
| #13092782 | 2 |
| #13092777 | 2 |
| #13092772 | 2 |
| #13092764 | 2 |
| #13092423 | 2 |
| #13092419 | 2 |
| #13092414 | 2 |
| C2×#10625003 | 2 |
| C23×#405 | 2 |
| #3136 | 23 |