Finite Group DatabasebetaFinite Group DatabasebetaOrder 22976.
188 conjugacy classes of subgroups; only the 47 normal subgroups are shown.
This group has 188 conjugacy classes of subgroups — too many to draw. Only its 47 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. C2×#19153330 | C2 | semidirect |
| 3. #26039994 | C2 | semidirect |
| 4. #26039937 | C2 | semidirect |
| 5. C22⋊C8×C359 | C2 | semidirect |
| 7. C2×Dic718 | C22 | semidirect |
| 12. C4⋊Dic359 | C22 | semidirect |
| 16. C2×C8×C359 | C22 | semidirect |
| 34. C22×C359 | SD16 | semidirect |
| 49. C359 | #450 | semidirect |
| 55. C22⋊C8 | D359 | semidirect |
| 63. C2×C8 | C2×D359 | semidirect |
| 88. C22 | #19153330 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×D1436 | 2 |
| C2×#19153330 | 2 |
| #26039994 | 2 |
| #26039937 | 2 |
| C22⋊C8×C359 | 2 |
| #450 | 359 |