Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
230 conjugacy classes of subgroups; only the 75 normal subgroups are shown.
This group has 230 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 |
|---|---|---|
| 31. M16×C19 | Q8 | semidirect |
| 38. C42×C19 | Q8 | semidirect |
| 51. #64520 | Q8 | semidirect |
| 120. C19 | #2061 | semidirect |
| 129. M16 | Dic38 | semidirect |
| 148. C42 | Dic38 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927172 | 2 |
| #11926587 | 2 |
| #11926586 | 2 |
| #11926410 | 2 |
| #11926312 | 2 |
| #11926304 | 2 |
| C19×#339 | 2 |
| #2061 | 19 |