Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
384 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 384 conjugacy classes of subgroups — too many to draw. Only its 129 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 |
|---|---|---|
| 5. #11926837 | C2 | semidirect |
| 6. #11926752 | C2 | semidirect |
| 8. Q16×Dic19 | C2 | semidirect |
| 9. #11926636 | C2 | semidirect |
| 98. C2×Dic19 | Q16 | semidirect |
| 170. C19 | #3104 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927096 | 2 |
| C2×Q8×Dic19 | 2 |
| #11926880 | 2 |
| #11926877 | 2 |
| #11926837 | 2 |
| #11926752 | 2 |
| #11926700 | 2 |
| Q16×Dic19 | 2 |
| #11926636 | 2 |
| #11926594 | 2 |
| C19×#451 | 2 |
| #3104 | 19 |