Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
272 conjugacy classes of subgroups; only the 73 normal subgroups are shown.
This group has 272 conjugacy classes of subgroups — too many to draw. Only its 73 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. #11926601 | C2 | semidirect |
| 3. #11926277 | C2 | semidirect |
| 4. C19×#376 | C2 | semidirect |
| 11. #10597320 | C4 | semidirect |
| 13. C4×D76 | C4 | semidirect |
| 14. #10597315 | C4 | semidirect |
| 81. #376 | D19 | semidirect |
| 103. C19 | #1505 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927094 | 2 |
| #11926601 | 2 |
| #11926277 | 2 |
| C19×#376 | 2 |
| #1505 | 19 |