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 |
|---|---|---|
| 1. #13093022 | C2 | semidirect |
| 2. #13092741 | C2 | semidirect |
| 3. #13092717 | C2 | semidirect |
| 4. #13092612 | C2 | semidirect |
| 5. #13092551 | C2 | semidirect |
| 6. #13092527 | C2 | semidirect |
| 7. C4×#67272 | C2 | semidirect |
| 8. #13092478 | C2 | semidirect |
| 9. C23×#518 | C2 | semidirect |
| 22. #10625045 | C22 | semidirect |
| 23. C4×D92 | C22 | semidirect |
| 24. #10625041 | C22 | semidirect |
| 28. #10624991 | C22 | semidirect |
| 29. #10624991 | C22 | semidirect |
| 30. #10624990 | C22 | semidirect |
| 31. #10624989 | C22 | semidirect |
| 32. C4⋊(C23⋊C8) | C22 | semidirect |
| 33. #10624985 | C22 | semidirect |
| 34. C4×C23⋊C8 | C22 | semidirect |
| 105. #518 | D23 | semidirect |
| 143. C23 | #3122 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13093022 | 2 |
| #13092741 | 2 |
| #13092717 | 2 |
| #13092612 | 2 |
| #13092551 | 2 |
| #13092527 | 2 |
| C4×#67272 | 2 |
| #13092478 | 2 |
| C23×#518 | 2 |
| #3122 | 23 |