Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
170 conjugacy classes of subgroups; only the 51 normal subgroups are shown.
This group has 170 conjugacy classes of subgroups — too many to draw. Only its 51 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. #11926890 | C2 | semidirect |
| 2. #11926834 | C2 | semidirect |
| 3. #11926622 | C2 | semidirect |
| 4. #11926296 | C2 | semidirect |
| 5. #11926292 | C2 | semidirect |
| 6. #11926288 | C2 | semidirect |
| 105. C19 | #1697 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11926890 | 2 |
| #11926834 | 2 |
| #11926622 | 2 |
| #11926296 | 2 |
| #11926292 | 2 |
| #11926288 | 2 |
| C19×#459 | 2 |
| #1697 | 19 |