Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
134 conjugacy classes of subgroups; only the 41 normal subgroups are shown.
This group has 134 conjugacy classes of subgroups — too many to draw. Only its 41 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. #11926591 | C2 | semidirect |
| 3. #11926368 | C2 | semidirect |
| 4. #11926367 | C2 | semidirect |
| 5. #11926357 | C2 | semidirect |
| 6. #11926325 | C2 | semidirect |
| 7. C19×#361 | C2 | semidirect |
| 67. #361 | D19 | semidirect |
| 84. C19 | #2238 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11926794 | 2 |
| #11926591 | 2 |
| #11926368 | 2 |
| #11926367 | 2 |
| #11926357 | 2 |
| #11926325 | 2 |
| C19×#361 | 2 |
| #2238 | 19 |