Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
276 conjugacy classes of subgroups; only the 71 normal subgroups are shown.
This group has 276 conjugacy classes of subgroups — too many to draw. Only its 71 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. #11926570 | C2 | semidirect |
| 2. #11926553 | C2 | semidirect |
| 4. C2×#10597293 | C2 | semidirect |
| 6. #11926309 | C2 | semidirect |
| 123. C19 | #2046 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11926570 | 2 |
| #11926553 | 2 |
| #11926549 | 2 |
| C2×#10597293 | 2 |
| C2×#10597290 | 2 |
| #11926309 | 2 |
| C22×SD16×C19 | 2 |
| #2046 | 19 |