Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
336 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 336 conjugacy classes of subgroups — too many to draw. Only its 125 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 |
|---|---|---|
| 92. Dic38 | Q16 | semidirect |
| 153. C19 | #3363 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| Q8×Dic38 | 2 |
| #11927269 | 2 |
| #11926894 | 2 |
| #11926893 | 2 |
| #11926840 | 2 |
| #11926837 | 2 |
| #11926752 | 2 |
| #11926668 | 2 |
| Q16×Dic19 | 2 |
| C4×#64528 | 2 |
| C19×#462 | 2 |
| #3363 | 19 |