Finite Group DatabasebetaFinite Group DatabasebetaOrder 17984.
146 conjugacy classes of subgroups; only the 39 normal subgroups are shown.
This group has 146 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 |
|---|---|---|
| 1. #22582926 | C2 | semidirect |
| 2. #22582907 | C2 | semidirect |
| 3. #22582904 | C2 | semidirect |
| 4. #22582867 | C2 | semidirect |
| 5. #22582807 | C2 | semidirect |
| 6. #22582797 | C2 | semidirect |
| 7. #104×C281 | C2 | semidirect |
| 63. C281 | #454 | semidirect |
| 70. #104 | D281 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #22582926 | 2 |
| #22582907 | 2 |
| #22582904 | 2 |
| #22582867 | 2 |
| #22582807 | 2 |
| #22582797 | 2 |
| #104×C281 | 2 |
| #454 | 281 |