Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
218 conjugacy classes of subgroups; only the 53 normal subgroups are shown.
This group has 218 conjugacy classes of subgroups — too many to draw. Only its 53 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. #11926924 | C2 | semidirect |
| 3. #11926835 | C2 | semidirect |
| 4. #11926834 | C2 | semidirect |
| 5. #11926292 | C2 | semidirect |
| 6. #11926273 | C2 | semidirect |
| 7. C19×D4⋊C8 | C2 | semidirect |
| 94. D4⋊C8 | D19 | semidirect |
| 117. C19 | #1634 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927259 | 2 |
| #11926924 | 2 |
| #11926835 | 2 |
| #11926834 | 2 |
| #11926292 | 2 |
| #11926273 | 2 |
| C19×D4⋊C8 | 2 |
| #1634 | 19 |