Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
324 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 324 conjugacy classes of subgroups — too many to draw. Only its 85 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. #11927311 | C2 | semidirect |
| 3. #11926548 | C2 | semidirect |
| 4. C2×#10597280 | C2 | semidirect |
| 5. #11926314 | C2 | semidirect |
| 6. C19⋊#338 | C2 | semidirect |
| 7. C19×#421 | C2 | semidirect |
| 16. C2×#64527 | C4 | semidirect |
| 17. C2×#64525 | C4 | semidirect |
| 109. #421 | D19 | semidirect |
| 137. C19 | #1903 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10597395 | 2 |
| #11927311 | 2 |
| #11926548 | 2 |
| C2×#10597280 | 2 |
| #11926314 | 2 |
| C19⋊#338 | 2 |
| C19×#421 | 2 |
| #1903 | 19 |