Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
458 conjugacy classes of subgroups; only the 177 normal subgroups are shown.
This group has 458 conjugacy classes of subgroups — too many to draw. Only its 177 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. #13093183 | C2 | semidirect |
| 3. #13092538 | C2 | semidirect |
| 4. #13092533 | C2 | semidirect |
| 5. C2×#10625007 | C2 | semidirect |
| 6. M16×Dic23 | C2 | semidirect |
| 7. C23×#430 | C2 | semidirect |
| 13. #10625080 | C4 | semidirect |
| 14. #10625079 | C4 | semidirect |
| 15. #10625078 | C22 | semidirect |
| 19. C23×#108 | C22 | semidirect |
| 20. #10625007 | C22 | semidirect |
| 21. #10625007 | C22 | semidirect |
| 22. #10624997 | C22 | semidirect |
| 23. C8×Dic23 | C22 | semidirect |
| 44. Dic92 | C2×C4 | semidirect |
| 45. D184 | C2×C4 | semidirect |
| 46. #67263 | C2×C4 | semidirect |
| 86. #430 | D23 | semidirect |
| 104. #108 | C2×D23 | semidirect |
| 109. C23 | #2956 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13093217 | 2 |
| #13093183 | 2 |
| #13092538 | 2 |
| #13092533 | 2 |
| C2×#10625007 | 2 |
| M16×Dic23 | 2 |
| C23×#430 | 2 |
| #2956 | 23 |