Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
716 conjugacy classes of subgroups; only the 145 normal subgroups are shown.
This group has 716 conjugacy classes of subgroups — too many to draw. Only its 145 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. #13092991 | C2 | semidirect |
| 3. #13092606 | C2 | semidirect |
| 4. #13092391 | C2 | semidirect |
| 5. #13092390 | C2 | semidirect |
| 6. C23×#536 | C2 | semidirect |
| 8. C22×Q8×C23 | C22 | semidirect |
| 19. C23×#123 | C22 | semidirect |
| 21. C23×#117 | C22 | semidirect |
| 25. #10625100 | C22 | semidirect |
| 26. #10625097 | C22 | semidirect |
| 27. #10625016 | C22 | semidirect |
| 28. #10624988 | C22 | semidirect |
| 126. #536 | D23 | semidirect |
| 144. C22×Q8 | C2×D23 | semidirect |
| 150. #123 | C2×D23 | semidirect |
| 154. #117 | C2×D23 | semidirect |
| 157. C23 | #3028 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13093253 | 2 |
| #13092991 | 2 |
| #13092606 | 2 |
| #13092391 | 2 |
| #13092390 | 2 |
| C23×#536 | 2 |
| #3028 | 23 |