Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
462 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 462 conjugacy classes of subgroups — too many to draw. Only its 115 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. C22⋊Q8×D19 | C2 | semidirect |
| 3. #11926880 | C2 | semidirect |
| 4. #11926877 | C2 | semidirect |
| 5. #11926856 | C2 | semidirect |
| 6. #11926789 | C2 | semidirect |
| 7. #11926787 | C2 | semidirect |
| 8. #11926695 | C2 | semidirect |
| 9. #11926681 | C2 | semidirect |
| 10. #11926506 | C2 | semidirect |
| 11. C19×#450 | C2 | semidirect |
| 14. C2×Q8×D19 | C22 | semidirect |
| 16. C2×SD16×C19 | C22 | semidirect |
| 19. #10597392 | C22 | semidirect |
| 24. C2×#64526 | C22 | semidirect |
| 27. C2×#64515 | C22 | semidirect |
| 28. #10597343 | C22 | semidirect |
| 31. C4⋊C4×D19 | C22 | semidirect |
| 34. C19×#102 | C22 | semidirect |
| 36. #10597292 | C22 | semidirect |
| 37. #10597289 | C22 | semidirect |
| 39. (C2×D19)⋊C8 | C22 | semidirect |
| 40. #10597275 | C22 | semidirect |
| 41. #10597273 | C22 | semidirect |
| 42. #10597264 | C22 | semidirect |
| 156. #450 | D19 | semidirect |
| 171. C2×SD16 | C2×D19 | semidirect |
| 193. #102 | C2×D19 | semidirect |
| 197. C19 | #3193 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22⋊Q8×D19 | 2 |
| C2×#10597384 | 2 |
| #11926880 | 2 |
| #11926877 | 2 |
| #11926856 | 2 |
| #11926789 | 2 |
| #11926787 | 2 |
| #11926695 | 2 |
| #11926681 | 2 |
| #11926506 | 2 |
| C19×#450 | 2 |
| #3193 | 19 |