Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
208 conjugacy classes of subgroups; only the 55 normal subgroups are shown.
This group has 208 conjugacy classes of subgroups — too many to draw. Only its 55 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. #11926895 | C2 | semidirect |
| 4. #11926754 | C2 | semidirect |
| 5. #11926292 | C2 | semidirect |
| 7. C19×Q8⋊C8 | C2 | semidirect |
| 60. D76 | Q16 | semidirect |
| 90. Q8⋊C8 | D19 | semidirect |
| 113. C19 | #1644 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927254 | 2 |
| #11926895 | 2 |
| #11926825 | 2 |
| #11926754 | 2 |
| #11926292 | 2 |
| #11926273 | 2 |
| C19×Q8⋊C8 | 2 |
| #1644 | 19 |