Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
420 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 420 conjugacy classes of subgroups — too many to draw. Only its 125 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. Q8×D92 | C2 | semidirect |
| 3. #13092769 | C2 | semidirect |
| 4. #13092749 | C2 | semidirect |
| 5. #13092647 | C2 | semidirect |
| 6. #13092623 | C2 | semidirect |
| 7. #13092557 | C2 | semidirect |
| 8. C4×#67274 | C2 | semidirect |
| 9. #13092482 | C2 | semidirect |
| 10. #103×D23 | C2 | semidirect |
| 11. C23×#475 | C2 | semidirect |
| 81. Q8×C23 | #41 | semidirect |
| 94. D92 | SD16 | semidirect |
| 128. #475 | D23 | semidirect |
| 169. C23 | #3298 | semidirect |
| 213. Q8 | #67292 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| Q8×D92 | 2 |
| #13093070 | 2 |
| #13092769 | 2 |
| #13092749 | 2 |
| #13092647 | 2 |
| #13092623 | 2 |
| #13092557 | 2 |
| C4×#67274 | 2 |
| #13092482 | 2 |
| #103×D23 | 2 |
| C23×#475 | 2 |
| #3298 | 23 |