Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
492 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 492 conjugacy classes of subgroups — too many to draw. Only its 141 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. C2×#10625072 | C2 | semidirect |
| 2. #13092991 | C2 | semidirect |
| 4. #13092660 | C2 | semidirect |
| 5. #13092643 | C2 | semidirect |
| 6. #13092455 | C2 | semidirect |
| 7. #13092426 | C2 | semidirect |
| 8. #13092422 | C2 | semidirect |
| 9. C22×SD16×C23 | C2 | semidirect |
| 19. #10625117 | C22 | semidirect |
| 29. C2×#67262 | C22 | semidirect |
| 30. C2×C8×D23 | C22 | semidirect |
| 31. #10625017 | C22 | semidirect |
| 33. #10625000 | C22 | semidirect |
| 34. #10624999 | C22 | semidirect |
| 55. C2×C8×C23 | D4 | semidirect |
| 116. C22×SD16 | D23 | semidirect |
| 155. C23 | #3057 | semidirect |
| 180. C2×C8 | C22⋊D23 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10625072 | 2 |
| #13092991 | 2 |
| #13092984 | 2 |
| #13092660 | 2 |
| #13092643 | 2 |
| #13092455 | 2 |
| #13092426 | 2 |
| #13092422 | 2 |
| C22×SD16×C23 | 2 |
| #3057 | 23 |