Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
232 conjugacy classes of subgroups; only the 75 normal subgroups are shown.
This group has 232 conjugacy classes of subgroups — too many to draw. Only its 75 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. #11926584 | C2 | semidirect |
| 4. #11926499 | C2 | semidirect |
| 5. #11926313 | C2 | semidirect |
| 6. #11926309 | C2 | semidirect |
| 17. #10597290 | C4 | semidirect |
| 124. C19 | #1931 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11926584 | 2 |
| #11926549 | 2 |
| C2×#10597290 | 2 |
| #11926499 | 2 |
| #11926313 | 2 |
| #11926309 | 2 |
| C2×C19×#102 | 2 |
| #1931 | 19 |