Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
704 conjugacy classes of subgroups; only the 237 normal subgroups are shown.
This group has 704 conjugacy classes of subgroups — too many to draw. Only its 237 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 |
|---|---|---|
| 3. #13092315 | C2 | semidirect |
| 4. #13092288 | C2 | semidirect |
| 5. #13092283 | C2 | semidirect |
| 6. #13092276 | C2 | semidirect |
| 7. #95×D23 | C2 | semidirect |
| 8. C4×C4⋊C4×C23 | C2 | semidirect |
| 21. C4×D92 | C4 | semidirect |
| 42. C2×C4×D23 | C2×C4 | semidirect |
| 45. C42×C23 | C2×C4 | semidirect |
| 47. (C2×D23)⋊C4 | C2×C4 | semidirect |
| 49. C4⋊Dic23 | C2×C4 | semidirect |
| 75. D92 | C4⋊C4 | semidirect |
| 102. C4×C4⋊C4 | D23 | semidirect |
| 128. C23 | #2349 | semidirect |
| 152. C42 | C4×D23 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C4×D92 | 2 |
| #13092315 | 2 |
| #13092288 | 2 |
| #13092283 | 2 |
| #13092276 | 2 |
| #95×D23 | 2 |
| C4×C4⋊C4×C23 | 2 |
| #2349 | 23 |