Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
222 conjugacy classes of subgroups; only the 61 normal subgroups are shown.
This group has 222 conjugacy classes of subgroups — too many to draw. Only its 61 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. #11926598 | C2 | semidirect |
| 3. #11926408 | C2 | semidirect |
| 4. #11926282 | C2 | semidirect |
| 5. #11926280 | C2 | semidirect |
| 9. #10597382 | C4 | semidirect |
| 12. D4×Dic19 | C4 | semidirect |
| 16. #10597336 | C4 | semidirect |
| 17. #10597333 | C4 | semidirect |
| 135. C19 | #1512 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927075 | 2 |
| #11926598 | 2 |
| #11926408 | 2 |
| #11926282 | 2 |
| #11926280 | 2 |
| #11926278 | 2 |
| C19×#327 | 2 |
| #1512 | 19 |