Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
418 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 418 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 |
|---|---|---|
| 2. #13092898 | C2 | semidirect |
| 3. #13092740 | C2 | semidirect |
| 4. #13092739 | C2 | semidirect |
| 5. #13092734 | C2 | semidirect |
| 6. #13092729 | C2 | semidirect |
| 7. #13092457 | C2 | semidirect |
| 8. #13092455 | C2 | semidirect |
| 9. #13092422 | C2 | semidirect |
| 10. #13092383 | C2 | semidirect |
| 11. C2×C23×#102 | C2 | semidirect |
| 26. #10625063 | C22 | semidirect |
| 27. C4⋊C4×D23 | C22 | semidirect |
| 33. (C2×D23)⋊C8 | C22 | semidirect |
| 34. (C2×D23)⋊C8 | C22 | semidirect |
| 35. #10625000 | C22 | semidirect |
| 36. #10625000 | C22 | semidirect |
| 37. #10624999 | C22 | semidirect |
| 38. #10624999 | C22 | semidirect |
| 39. #10624990 | C22 | semidirect |
| 40. #10624989 | C22 | semidirect |
| 138. C2×#102 | D23 | semidirect |
| 175. C23 | #3096 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13092984 | 2 |
| #13092898 | 2 |
| #13092740 | 2 |
| #13092739 | 2 |
| #13092734 | 2 |
| #13092729 | 2 |
| #13092457 | 2 |
| #13092455 | 2 |
| #13092422 | 2 |
| #13092383 | 2 |
| C2×C23×#102 | 2 |
| #3096 | 23 |