Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
484 conjugacy classes of subgroups; only the 197 normal subgroups are shown.
This group has 484 conjugacy classes of subgroups — too many to draw. Only its 197 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. #11926594 | C2 | semidirect |
| 4. #11926567 | C2 | semidirect |
| 6. M16×Dic19 | C2 | semidirect |
| 21. #10597272 | C22 | semidirect |
| 22. Dic19⋊C8 | C22 | semidirect |
| 23. C8×Dic19 | C22 | semidirect |
| 67. C2×Dic19 | M16 | semidirect |
| 116. C19 | #2920 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×C4×Dic19 | 2 |
| #11926598 | 2 |
| #11926594 | 2 |
| #11926567 | 2 |
| #11926508 | 2 |
| M16×Dic19 | 2 |
| C19×#407 | 2 |
| #2920 | 19 |