Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
454 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 454 conjugacy classes of subgroups — too many to draw. Only its 117 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. #11927357 | C2 | semidirect |
| 2. #11927353 | C2 | semidirect |
| 3. #11927349 | C2 | semidirect |
| 4. #11926929 | C2 | semidirect |
| 5. #11926815 | C2 | semidirect |
| 6. #11926810 | C2 | semidirect |
| 7. #11926720 | C2 | semidirect |
| 8. #11926719 | C2 | semidirect |
| 9. #11926660 | C2 | semidirect |
| 10. #11926659 | C2 | semidirect |
| 11. C19×#473 | C2 | semidirect |
| 13. #10597433 | C22 | semidirect |
| 15. C2×Q16×C19 | C22 | semidirect |
| 18. #10597393 | C22 | semidirect |
| 19. #10597388 | C22 | semidirect |
| 20. C2×#64527 | C22 | semidirect |
| 30. #10597354 | C22 | semidirect |
| 31. #10597353 | C22 | semidirect |
| 36. #10597347 | C22 | semidirect |
| 37. C19×#108 | C22 | semidirect |
| 38. C19×#101 | C22 | semidirect |
| 40. #10597282 | C22 | semidirect |
| 41. #10597282 | C22 | semidirect |
| 42. #10597280 | C22 | semidirect |
| 43. #10597279 | C22 | semidirect |
| 44. C8×Dic19 | C22 | semidirect |
| 148. #473 | D19 | semidirect |
| 177. C2×Q16 | C2×D19 | semidirect |
| 187. #108 | C2×D19 | semidirect |
| 191. #101 | C2×D19 | semidirect |
| 194. C19 | #3290 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927357 | 2 |
| #11927353 | 2 |
| #11927349 | 2 |
| #11926929 | 2 |
| #11926815 | 2 |
| #11926810 | 2 |
| #11926720 | 2 |
| #11926719 | 2 |
| #11926660 | 2 |
| #11926659 | 2 |
| C19×#473 | 2 |
| #3290 | 19 |