Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
284 conjugacy classes of subgroups; only the 87 normal subgroups are shown.
This group has 284 conjugacy classes of subgroups — too many to draw. Only its 87 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 |
|---|---|---|
| 16. #10597336 | C4 | semidirect |
| 17. #10597334 | C4 | semidirect |
| 33. C42×C19 | Q8 | semidirect |
| 45. C4×Dic19 | Q8 | semidirect |
| 107. C19 | #1994 | semidirect |
| 135. C42 | Dic38 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927097 | 2 |
| #11926567 | 2 |
| C42×Dic19 | 2 |
| #11926305 | 2 |
| #11926304 | 2 |
| #11926303 | 2 |
| C19×#339 | 2 |
| #1994 | 19 |