Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
284 conjugacy classes of subgroups; only the 63 normal subgroups are shown.
This group has 284 conjugacy classes of subgroups — too many to draw. Only its 63 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. C22⋊C8×D19 | C2 | semidirect |
| 3. #11926406 | C2 | semidirect |
| 4. #11926282 | C2 | semidirect |
| 5. #11926280 | C2 | semidirect |
| 6. #11926278 | C2 | semidirect |
| 7. C19×#327 | C2 | semidirect |
| 8. C2×#64543 | C4 | semidirect |
| 11. #10597384 | C4 | semidirect |
| 17. #10597343 | C4 | semidirect |
| 18. #10597338 | C4 | semidirect |
| 126. #327 | D19 | semidirect |
| 154. C19 | #1516 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927054 | 2 |
| C22⋊C8×D19 | 2 |
| #11926406 | 2 |
| #11926282 | 2 |
| #11926280 | 2 |
| #11926278 | 2 |
| C19×#327 | 2 |
| #1516 | 19 |