Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
340 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 340 conjugacy classes of subgroups — too many to draw. Only its 115 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. #11927272 | C2 | semidirect |
| 3. #11926911 | C2 | semidirect |
| 4. #11926896 | C2 | semidirect |
| 5. #11926850 | C2 | semidirect |
| 8. #11926671 | C2 | semidirect |
| 11. C19×#477 | C2 | semidirect |
| 118. #477 | D19 | semidirect |
| 157. C19 | #3372 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927272 | 2 |
| #11927255 | 2 |
| #11926911 | 2 |
| #11926896 | 2 |
| #11926850 | 2 |
| #11926750 | 2 |
| #11926748 | 2 |
| #11926671 | 2 |
| #11926643 | 2 |
| C4×#64527 | 2 |
| C19×#477 | 2 |
| #3372 | 19 |