Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
248 conjugacy classes of subgroups; only the 69 normal subgroups are shown.
This group has 248 conjugacy classes of subgroups — too many to draw. Only its 69 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. #11926601 | C2 | semidirect |
| 3. #11926283 | C2 | semidirect |
| 4. C19×#432 | C2 | semidirect |
| 16. C19×#97 | C22 | semidirect |
| 19. #10597260 | C22 | semidirect |
| 81. #432 | D19 | semidirect |
| 102. #97 | C2×D19 | semidirect |
| 103. C19 | #1533 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10597321 | 2 |
| #11926601 | 2 |
| #11926283 | 2 |
| C19×#432 | 2 |
| #1533 | 19 |