Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
332 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 332 conjugacy classes of subgroups — too many to draw. Only its 79 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. #11927310 | C2 | semidirect |
| 3. #11926562 | C2 | semidirect |
| 4. #11926560 | C2 | semidirect |
| 5. #11926517 | C2 | semidirect |
| 6. #11926304 | C2 | semidirect |
| 7. C19×#339 | C2 | semidirect |
| 19. #10597321 | C4 | semidirect |
| 20. #10597321 | C4 | semidirect |
| 21. #10597320 | C4 | semidirect |
| 23. #10597315 | C4 | semidirect |
| 47. M16×C19 | D4 | semidirect |
| 62. #64520 | D4 | semidirect |
| 126. #339 | D19 | semidirect |
| 152. C19 | #1884 | semidirect |
| 176. M16 | D76 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927310 | 2 |
| #11927094 | 2 |
| #11926562 | 2 |
| #11926560 | 2 |
| #11926517 | 2 |
| #11926304 | 2 |
| C19×#339 | 2 |
| #1884 | 19 |