Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
458 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 458 conjugacy classes of subgroups — too many to draw. Only its 141 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. C22×C4⋊Dic23 | C2 | semidirect |
| 2. #13092750 | C2 | semidirect |
| 3. #13092745 | C2 | semidirect |
| 4. #13092733 | C2 | semidirect |
| 5. #13092728 | C2 | semidirect |
| 6. #13092460 | C2 | semidirect |
| 7. #13092418 | C2 | semidirect |
| 8. #13092381 | C2 | semidirect |
| 29. #10625017 | C22 | semidirect |
| 30. #10625014 | C22 | semidirect |
| 33. #10624990 | C22 | semidirect |
| 34. #10624989 | C22 | semidirect |
| 165. C23 | #3092 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×C4⋊Dic23 | 2 |
| #13092750 | 2 |
| #13092745 | 2 |
| #13092733 | 2 |
| #13092728 | 2 |
| #13092460 | 2 |
| #13092418 | 2 |
| #13092381 | 2 |
| C23×#525 | 2 |
| #3092 | 23 |