Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
332 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 332 conjugacy classes of subgroups — too many to draw. Only its 89 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. #13092433 | C2 | semidirect |
| 3. #13092391 | C2 | semidirect |
| 4. #13092178 | C2 | semidirect |
| 5. C23×#568 | C2 | semidirect |
| 11. #10625118 | C4 | semidirect |
| 12. #10625115 | C4 | semidirect |
| 13. #10625111 | C4 | semidirect |
| 15. #10625107 | C4 | semidirect |
| 38. M16×C23 | D4 | semidirect |
| 91. #568 | D23 | semidirect |
| 116. C23 | #1884 | semidirect |
| 134. M16 | C22⋊D23 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13092963 | 2 |
| #13092433 | 2 |
| #13092391 | 2 |
| #13092178 | 2 |
| C23×#568 | 2 |
| #1884 | 23 |