Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
186 conjugacy classes of subgroups; only the 51 normal subgroups are shown.
This group has 186 conjugacy classes of subgroups — too many to draw. Only its 51 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. C2×#10597283 | C2 | semidirect |
| 2. #11926919 | C2 | semidirect |
| 3. D8×Dic19 | C2 | semidirect |
| 4. Dic19⋊C16 | C2 | semidirect |
| 5. #11926346 | C2 | semidirect |
| 6. #11926345 | C2 | semidirect |
| 7. C2×C19×D16 | C2 | semidirect |
| 30. D8×C19 | D4 | semidirect |
| 75. Dic19 | D16 | semidirect |
| 77. C2×D16 | D19 | semidirect |
| 102. C19 | #2206 | semidirect |
| 115. D8 | C22⋊D19 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10597283 | 2 |
| #11926919 | 2 |
| D8×Dic19 | 2 |
| Dic19⋊C16 | 2 |
| #11926346 | 2 |
| #11926345 | 2 |
| C2×C19×D16 | 2 |
| #2206 | 19 |