Finite Group DatabasebetaFinite Group DatabasebetaOrder 17984.
222 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 222 conjugacy classes of subgroups — too many to draw. Only its 109 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. #22582878 | C2 | semidirect |
| 2. #22582877 | C2 | semidirect |
| 3. #22582869 | C2 | semidirect |
| 7. C4×Dic562 | C2 | semidirect |
| 8. C4×Dic562 | C2 | semidirect |
| 11. C4×Q8×C281 | C2 | semidirect |
| 45. C4×D281 | Q8 | semidirect |
| 70. C281 | #533 | semidirect |
| 80. C4×Q8 | D281 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #22582878 | 2 |
| #22582877 | 2 |
| #22582869 | 2 |
| #22582859 | 2 |
| #22582857 | 2 |
| #22582855 | 2 |
| C4×Dic562 | 2 |
| #22582836 | 2 |
| C42×D281 | 2 |
| C4×Q8×C281 | 2 |
| #533 | 281 |