Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
228 conjugacy classes of subgroups; only the 59 normal subgroups are shown.
This group has 228 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. #11926894 | C2 | semidirect |
| 4. #11926291 | C2 | semidirect |
| 5. Q8⋊(C19⋊C8) | C2 | semidirect |
| 7. C19×#477 | C2 | semidirect |
| 89. #477 | D19 | semidirect |
| 115. C19 | #1637 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| Q8×D76 | 2 |
| #11926894 | 2 |
| #11926831 | 2 |
| #11926291 | 2 |
| Q8⋊(C19⋊C8) | 2 |
| #11926271 | 2 |
| C19×#477 | 2 |
| #1637 | 19 |