Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
342 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 342 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 |
|---|---|---|
| 1. #11927310 | C2 | semidirect |
| 3. #11926526 | C2 | semidirect |
| 4. #11926507 | C2 | semidirect |
| 5. #11926507 | C2 | semidirect |
| 6. #11926314 | C2 | semidirect |
| 7. C19×#344 | C2 | semidirect |
| 50. C2×C8×C19 | D4 | semidirect |
| 62. C2×C19⋊C8 | D4 | semidirect |
| 126. #344 | D19 | semidirect |
| 152. C19 | #1891 | semidirect |
| 184. C2×C8 | D76 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927310 | 2 |
| #11927056 | 2 |
| #11926526 | 2 |
| #11926507 | 2 |
| #11926314 | 2 |
| C19×#344 | 2 |
| #1891 | 19 |