Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
332 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 332 conjugacy classes of subgroups — too many to draw. Only its 93 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 |
|---|---|---|
| 1. #11927311 | C2 | semidirect |
| 2. #11926561 | C2 | semidirect |
| 3. #11926518 | C2 | semidirect |
| 4. #11926304 | C2 | semidirect |
| 8. C19×C4⋊Q8 | C4 | semidirect |
| 9. C19×#127 | C4 | semidirect |
| 10. C19×#124 | C4 | semidirect |
| 11. C19×#124 | C4 | semidirect |
| 47. #64520 | D4 | semidirect |
| 106. C4⋊Q8 | Dic19 | semidirect |
| 107. #127 | Dic19 | semidirect |
| 108. #124 | Dic19 | semidirect |
| 109. #124 | Dic19 | semidirect |
| 116. C19 | #1884 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927311 | 2 |
| #11926561 | 2 |
| #11926518 | 2 |
| #11926304 | 2 |
| C19×#532 | 2 |
| #1884 | 19 |