Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
292 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 292 conjugacy classes of subgroups — too many to draw. Only its 117 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 |
|---|---|---|
| 3. #11926500 | C2 | semidirect |
| 4. C2×#10597272 | C2 | semidirect |
| 5. #11926309 | C2 | semidirect |
| 6. #11926303 | C2 | semidirect |
| 12. #10597394 | C4 | semidirect |
| 19. C19×#103 | C4 | semidirect |
| 20. C19×#102 | C4 | semidirect |
| 21. #10597294 | C4 | semidirect |
| 118. #103 | Dic19 | semidirect |
| 119. #102 | Dic19 | semidirect |
| 123. C19 | #1765 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10597394 | 2 |
| C2×#10597294 | 2 |
| #11926500 | 2 |
| C2×#10597272 | 2 |
| #11926309 | 2 |
| #11926303 | 2 |
| C19×#416 | 2 |
| #1765 | 19 |