Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
484 conjugacy classes of subgroups; only the 197 normal subgroups are shown.
This group has 484 conjugacy classes of subgroups — too many to draw. Only its 197 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. #13092471 | C2 | semidirect |
| 3. #13092467 | C2 | semidirect |
| 4. #13092440 | C2 | semidirect |
| 6. M16×Dic23 | C2 | semidirect |
| 21. #10624997 | C22 | semidirect |
| 22. Dic23⋊C8 | C22 | semidirect |
| 23. C8×Dic23 | C22 | semidirect |
| 67. C2×Dic23 | M16 | semidirect |
| 116. C23 | #2920 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×C4×Dic23 | 2 |
| #13092471 | 2 |
| #13092467 | 2 |
| #13092440 | 2 |
| #13092381 | 2 |
| M16×Dic23 | 2 |
| C23×#407 | 2 |
| #2920 | 23 |