Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
144 conjugacy classes of subgroups; only the 57 normal subgroups are shown.
This group has 144 conjugacy classes of subgroups — too many to draw. Only its 57 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. #11926662 | C2 | semidirect |
| 3. #11926373 | C2 | semidirect |
| 4. #11926351 | C2 | semidirect |
| 5. #11926350 | C2 | semidirect |
| 6. #11926320 | C2 | semidirect |
| 7. C19×#443 | C2 | semidirect |
| 15. #10597286 | C4 | semidirect |
| 16. #10597285 | C4 | semidirect |
| 17. #10597284 | C4 | semidirect |
| 18. #10597283 | C4 | semidirect |
| 70. #443 | D19 | semidirect |
| 94. C19 | #2179 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11926974 | 2 |
| #11926662 | 2 |
| #11926373 | 2 |
| #11926351 | 2 |
| #11926350 | 2 |
| #11926320 | 2 |
| C19×#443 | 2 |
| #2179 | 19 |