Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
142 conjugacy classes of subgroups; only the 49 normal subgroups are shown.
This group has 142 conjugacy classes of subgroups — too many to draw. Only its 49 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. #11926582 | C2 | semidirect |
| 3. #11926372 | C2 | semidirect |
| 4. #11926370 | C2 | semidirect |
| 5. #11926346 | C2 | semidirect |
| 6. #11926346 | C2 | semidirect |
| 7. C19×C22⋊C16 | C2 | semidirect |
| 71. C22⋊C16 | D19 | semidirect |
| 88. C19 | #2234 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11926780 | 2 |
| #11926582 | 2 |
| #11926372 | 2 |
| #11926370 | 2 |
| #11926346 | 2 |
| C19×C22⋊C16 | 2 |
| #2234 | 19 |