Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
264 conjugacy classes of subgroups; only the 73 normal subgroups are shown.
This group has 264 conjugacy classes of subgroups — too many to draw. Only its 73 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. #13092401 | C2 | semidirect |
| 2. #13092391 | C2 | semidirect |
| 3. #13092207 | C2 | semidirect |
| 4. #13092204 | C2 | semidirect |
| 7. C23×C4×C23 | C4 | semidirect |
| 8. C23×#123 | C4 | semidirect |
| 12. C23×#120 | C4 | semidirect |
| 16. C23×#117 | C4 | semidirect |
| 121. C23×C4 | Dic23 | semidirect |
| 123. #123 | Dic23 | semidirect |
| 127. #120 | Dic23 | semidirect |
| 132. #117 | Dic23 | semidirect |
| 137. C23 | #2120 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13092401 | 2 |
| #13092391 | 2 |
| #13092207 | 2 |
| #13092204 | 2 |
| C23×#525 | 2 |
| #2120 | 23 |