Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
222 conjugacy classes of subgroups; only the 75 normal subgroups are shown.
This group has 222 conjugacy classes of subgroups — too many to draw. Only its 75 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. #11926571 | C2 | semidirect |
| 5. C2×#10597260 | C2 | semidirect |
| 6. #11926308 | C2 | semidirect |
| 7. C19×#339 | C2 | semidirect |
| 16. #10597267 | C4 | semidirect |
| 17. #10597266 | C4 | semidirect |
| 92. #339 | D19 | semidirect |
| 111. C19 | #1938 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11926571 | 2 |
| C2×#10597262 | 2 |
| #11926538 | 2 |
| #11926512 | 2 |
| C2×#10597260 | 2 |
| #11926308 | 2 |
| C19×#339 | 2 |
| #1938 | 19 |