Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
332 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 332 conjugacy classes of subgroups — too many to draw. Only its 79 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. #13093183 | C2 | semidirect |
| 3. #13092435 | C2 | semidirect |
| 4. #13092433 | C2 | semidirect |
| 5. #13092390 | C2 | semidirect |
| 6. #13092177 | C2 | semidirect |
| 7. C23×#339 | C2 | semidirect |
| 19. #10625046 | C4 | semidirect |
| 20. #10625046 | C4 | semidirect |
| 21. #10625045 | C4 | semidirect |
| 23. #10625040 | C4 | semidirect |
| 47. M16×C23 | D4 | semidirect |
| 62. #67267 | D4 | semidirect |
| 126. #339 | D23 | semidirect |
| 152. C23 | #1884 | semidirect |
| 176. M16 | D92 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13093183 | 2 |
| #13092967 | 2 |
| #13092435 | 2 |
| #13092433 | 2 |
| #13092390 | 2 |
| #13092177 | 2 |
| C23×#339 | 2 |
| #1884 | 23 |