Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
284 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 284 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 |
|---|---|---|
| 2. #11926580 | C2 | semidirect |
| 3. #11926562 | C2 | semidirect |
| 4. #11926561 | C2 | semidirect |
| 5. #11926517 | C2 | semidirect |
| 6. #11926500 | C2 | semidirect |
| 7. C19×#410 | C2 | semidirect |
| 16. C2×#64528 | C4 | semidirect |
| 17. C2×#64527 | C4 | semidirect |
| 18. C2×#64526 | C4 | semidirect |
| 19. C2×#64525 | C4 | semidirect |
| 132. #410 | D19 | semidirect |
| 163. C19 | #1976 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10597396 | 2 |
| #11926580 | 2 |
| #11926562 | 2 |
| #11926561 | 2 |
| #11926517 | 2 |
| #11926500 | 2 |
| C19×#410 | 2 |
| #1976 | 19 |