Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
174 conjugacy classes of subgroups; only the 59 normal subgroups are shown.
This group has 174 conjugacy classes of subgroups — too many to draw. Only its 59 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 |
|---|---|---|
| 2. #11926626 | C2 | semidirect |
| 3. #11926344 | C2 | semidirect |
| 4. C16×Dic19 | C2 | semidirect |
| 5. C19×#366 | C2 | semidirect |
| 13. D304 | C4 | semidirect |
| 22. D152 | C2×C4 | semidirect |
| 23. C16×C19 | C2×C4 | semidirect |
| 45. Dic19 | D16 | semidirect |
| 48. #366 | D19 | semidirect |
| 63. C19 | C4×D16 | semidirect |
| 74. C16 | C4×D19 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×D304 | 2 |
| #11926626 | 2 |
| #11926344 | 2 |
| C16×Dic19 | 2 |
| C19×#366 | 2 |
| C4×D16 | 19 |