Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
386 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 386 conjugacy classes of subgroups — too many to draw. Only its 125 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 |
|---|---|---|
| 3. #11926884 | C2 | semidirect |
| 4. #11926883 | C2 | semidirect |
| 5. #11926878 | C2 | semidirect |
| 6. #11926873 | C2 | semidirect |
| 7. #11926584 | C2 | semidirect |
| 8. #11926582 | C2 | semidirect |
| 9. #11926553 | C2 | semidirect |
| 11. C2×C19×#103 | C2 | semidirect |
| 131. C2×#103 | D19 | semidirect |
| 167. C19 | #3097 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927118 | 2 |
| #11927025 | 2 |
| #11926884 | 2 |
| #11926883 | 2 |
| #11926878 | 2 |
| #11926873 | 2 |
| #11926584 | 2 |
| #11926582 | 2 |
| #11926553 | 2 |
| #11926510 | 2 |
| C2×C19×#103 | 2 |
| #3097 | 19 |