Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
240 conjugacy classes of subgroups; only the 55 normal subgroups are shown.
This group has 240 conjugacy classes of subgroups — too many to draw. Only its 55 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. #13092822 | C2 | semidirect |
| 3. #13092697 | C2 | semidirect |
| 4. #13092623 | C2 | semidirect |
| 5. #13092164 | C2 | semidirect |
| 6. #13092146 | C2 | semidirect |
| 7. C23×D4⋊C8 | C2 | semidirect |
| 99. D4⋊C8 | D23 | semidirect |
| 122. C23 | #1647 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13093072 | 2 |
| #13092822 | 2 |
| #13092697 | 2 |
| #13092623 | 2 |
| #13092164 | 2 |
| #13092146 | 2 |
| C23×D4⋊C8 | 2 |
| #1647 | 23 |