Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
400 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 400 conjugacy classes of subgroups — too many to draw. Only its 125 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. #13092970 | C2 | semidirect |
| 3. #13092778 | C2 | semidirect |
| 4. #13092773 | C2 | semidirect |
| 5. #13092426 | C2 | semidirect |
| 8. M16×Dic23 | C2 | semidirect |
| 9. C23×#419 | C2 | semidirect |
| 21. #10625061 | C22 | semidirect |
| 22. #10625059 | C22 | semidirect |
| 25. C23×#103 | C22 | semidirect |
| 26. #10625017 | C22 | semidirect |
| 28. #10624997 | C22 | semidirect |
| 29. C8×Dic23 | C22 | semidirect |
| 106. #419 | D23 | semidirect |
| 130. #103 | C2×D23 | semidirect |
| 135. C23 | #3140 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13092970 | 2 |
| C2×#10625118 | 2 |
| #13092778 | 2 |
| #13092773 | 2 |
| #13092426 | 2 |
| #13092423 | 2 |
| #13092421 | 2 |
| M16×Dic23 | 2 |
| C23×#419 | 2 |
| #3140 | 23 |