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. #11926371 | C2 | semidirect |
| 3. #11926369 | C2 | semidirect |
| 4. #11926344 | C2 | semidirect |
| 5. #11926344 | C2 | semidirect |
| 6. C22⋊(C19⋊C16) | C2 | semidirect |
| 7. C19×#427 | C2 | semidirect |
| 66. #427 | 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 |
| #11926371 | 2 |
| #11926369 | 2 |
| #11926344 | 2 |
| C22⋊(C19⋊C16) | 2 |
| C19×#427 | 2 |
| #2234 | 19 |