Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
234 conjugacy classes of subgroups; only the 59 normal subgroups are shown.
This group has 234 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. #11926949 | C2 | semidirect |
| 4. #11926754 | C2 | semidirect |
| 5. #11926289 | C2 | semidirect |
| 7. C19×Q8⋊C8 | C2 | semidirect |
| 62. D76 | Q16 | semidirect |
| 94. Q8⋊C8 | D19 | semidirect |
| 117. C19 | #1649 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| Q8×D76 | 2 |
| #11926949 | 2 |
| #11926825 | 2 |
| #11926754 | 2 |
| #11926289 | 2 |
| #11926273 | 2 |
| C19×Q8⋊C8 | 2 |
| #1649 | 19 |