Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
572 conjugacy classes of subgroups; only the 137 normal subgroups are shown.
This group has 572 conjugacy classes of subgroups — too many to draw. Only its 137 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 |
|---|---|---|
| 1. C2×#10597361 | C2 | semidirect |
| 2. C2×#10597357 | C2 | semidirect |
| 3. #11927092 | C2 | semidirect |
| 4. #124×D19 | C2 | semidirect |
| 5. #11926939 | C2 | semidirect |
| 6. #11926938 | C2 | semidirect |
| 7. #11926931 | C2 | semidirect |
| 8. #11926927 | C2 | semidirect |
| 9. #11926925 | C2 | semidirect |
| 10. #11926496 | C2 | semidirect |
| 11. C19×#496 | C2 | semidirect |
| 15. C2×SD16×C19 | C22 | semidirect |
| 17. C19×#127 | C22 | semidirect |
| 20. C2×#64528 | C22 | semidirect |
| 23. #10597382 | C22 | semidirect |
| 26. C2×#64526 | C22 | semidirect |
| 30. C2×Dic76 | C22 | semidirect |
| 37. #10597315 | C22 | semidirect |
| 38. C19×#97 | C22 | semidirect |
| 39. C8×Dic19 | C22 | semidirect |
| 40. #10597260 | C22 | semidirect |
| 79. #64515 | D4 | semidirect |
| 136. #496 | D19 | semidirect |
| 156. C2×SD16 | C2×D19 | semidirect |
| 161. #127 | C2×D19 | semidirect |
| 173. #97 | C2×D19 | semidirect |
| 175. C19 | #3153 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10597361 | 2 |
| C2×#10597357 | 2 |
| #11927092 | 2 |
| #124×D19 | 2 |
| #11926939 | 2 |
| #11926938 | 2 |
| #11926931 | 2 |
| #11926927 | 2 |
| #11926925 | 2 |
| #11926496 | 2 |
| C19×#496 | 2 |
| #3153 | 19 |