Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
494 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 494 conjugacy classes of subgroups — too many to draw. Only its 149 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. C22×#64526 | C2 | semidirect |
| 3. #11927120 | C2 | semidirect |
| 4. #11926759 | C2 | semidirect |
| 5. #11926749 | C2 | semidirect |
| 6. #11926571 | C2 | semidirect |
| 7. #11926552 | C2 | semidirect |
| 8. #11926538 | C2 | semidirect |
| 9. C19×#518 | C2 | semidirect |
| 27. #10597321 | C22 | semidirect |
| 28. #10597315 | C22 | semidirect |
| 29. #10597267 | C22 | semidirect |
| 30. #10597267 | C22 | semidirect |
| 31. #10597266 | C22 | semidirect |
| 32. C4⋊(C19⋊C8) | C22 | semidirect |
| 115. #518 | D19 | semidirect |
| 149. C19 | #3042 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10597378 | 2 |
| C22×#64526 | 2 |
| #11927120 | 2 |
| #11926759 | 2 |
| #11926749 | 2 |
| #11926571 | 2 |
| #11926552 | 2 |
| #11926538 | 2 |
| C19×#518 | 2 |
| #3042 | 19 |