Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
190 conjugacy classes of subgroups; only the 59 normal subgroups are shown.
This group has 190 conjugacy classes of subgroups — too many to draw. Only its 59 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. #11926572 | C2 | semidirect |
| 4. #11926316 | C2 | semidirect |
| 5. #11926308 | C2 | semidirect |
| 6. #11926301 | C2 | semidirect |
| 110. C19 | #2080 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11926572 | 2 |
| #11926561 | 2 |
| #11926540 | 2 |
| #11926316 | 2 |
| #11926308 | 2 |
| #11926301 | 2 |
| C19×#413 | 2 |
| #2080 | 19 |