Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
424 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 424 conjugacy classes of subgroups — too many to draw. Only its 121 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. C4⋊Q8×D19 | C2 | semidirect |
| 3. #11926906 | C2 | semidirect |
| 4. #11926904 | C2 | semidirect |
| 5. #11926903 | C2 | semidirect |
| 6. #11926893 | C2 | semidirect |
| 7. #11926889 | C2 | semidirect |
| 8. #11926544 | C2 | semidirect |
| 9. #11926542 | C2 | semidirect |
| 10. #11926496 | C2 | semidirect |
| 11. C19×#489 | C2 | semidirect |
| 140. #489 | D19 | semidirect |
| 183. C19 | #3141 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927093 | 2 |
| C4⋊Q8×D19 | 2 |
| #11926906 | 2 |
| #11926904 | 2 |
| #11926903 | 2 |
| #11926893 | 2 |
| #11926889 | 2 |
| #11926544 | 2 |
| #11926542 | 2 |
| #11926496 | 2 |
| C19×#489 | 2 |
| #3141 | 19 |