Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
310 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 310 conjugacy classes of subgroups — too many to draw. Only its 85 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. #13093184 | C2 | semidirect |
| 3. #13092435 | C2 | semidirect |
| 4. #13092383 | C2 | semidirect |
| 5. #13092187 | C2 | semidirect |
| 6. #13092182 | C2 | semidirect |
| 7. C23×#416 | C2 | semidirect |
| 12. #10625122 | C4 | semidirect |
| 14. #10625120 | C4 | semidirect |
| 116. #416 | 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 |
| #13093184 | 2 |
| #13092435 | 2 |
| #13092383 | 2 |
| #13092187 | 2 |
| #13092182 | 2 |
| C23×#416 | 2 |
| #1881 | 23 |