Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
434 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 434 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 |
|---|---|---|
| 1. #11927095 | C2 | semidirect |
| 2. C4×#64543 | C2 | semidirect |
| 3. #11926870 | C2 | semidirect |
| 4. #11926836 | C2 | semidirect |
| 5. #11926745 | C2 | semidirect |
| 6. #11926739 | C2 | semidirect |
| 7. #11926690 | C2 | semidirect |
| 8. #11926631 | C2 | semidirect |
| 9. #11926624 | C2 | semidirect |
| 10. #11926596 | C2 | semidirect |
| 11. C19×#476 | C2 | semidirect |
| 88. D4×C19 | #41 | semidirect |
| 114. Dic38 | #41 | semidirect |
| 143. #476 | D19 | semidirect |
| 187. C19 | #3106 | semidirect |
| 241. D4 | #64545 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927095 | 2 |
| C4×#64543 | 2 |
| #11926870 | 2 |
| #11926836 | 2 |
| #11926745 | 2 |
| #11926739 | 2 |
| #11926690 | 2 |
| #11926631 | 2 |
| #11926624 | 2 |
| #11926596 | 2 |
| C19×#476 | 2 |
| #3106 | 19 |