Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
216 conjugacy classes of subgroups; only the 71 normal subgroups are shown.
This group has 216 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. #11926592 | C2 | semidirect |
| 4. M16×Dic19 | C2 | semidirect |
| 5. #11926314 | C2 | semidirect |
| 6. #11926303 | C2 | semidirect |
| 18. #10597293 | C4 | semidirect |
| 19. #10597290 | C4 | semidirect |
| 118. C19 | #1932 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11926592 | 2 |
| C2×#10597294 | 2 |
| #11926528 | 2 |
| M16×Dic19 | 2 |
| #11926314 | 2 |
| #11926303 | 2 |
| C19×#421 | 2 |
| #1932 | 19 |