Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
310 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 310 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. #13092413 | C2 | semidirect |
| 4. #13092385 | C2 | semidirect |
| 5. #13092188 | C2 | semidirect |
| 6. #13092181 | C2 | semidirect |
| 7. C23×#568 | C2 | semidirect |
| 15. #10625122 | C4 | semidirect |
| 17. #10625120 | C4 | semidirect |
| 114. #568 | D23 | semidirect |
| 145. C23 | #1881 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13093215 | 2 |
| #13092433 | 2 |
| #13092413 | 2 |
| #13092385 | 2 |
| #13092188 | 2 |
| #13092181 | 2 |
| C23×#568 | 2 |
| #1881 | 23 |