Finite Group DatabasebetaFinite Group DatabasebetaOrder 17984.
142 conjugacy classes of subgroups; only the 39 normal subgroups are shown.
This group has 142 conjugacy classes of subgroups — too many to draw. Only its 39 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. #22582910 | C2 | semidirect |
| 3. #22582877 | C2 | semidirect |
| 4. #22582806 | C2 | semidirect |
| 5. #22582805 | C2 | semidirect |
| 6. #22582797 | C2 | semidirect |
| 7. #137×C281 | C2 | semidirect |
| 61. C281 | #456 | semidirect |
| 65. #137 | D281 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #22582926 | 2 |
| #22582910 | 2 |
| #22582877 | 2 |
| #22582806 | 2 |
| #22582805 | 2 |
| #22582797 | 2 |
| #137×C281 | 2 |
| #456 | 281 |