Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
490 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 490 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. #127×D19 | C2 | semidirect |
| 2. #11927081 | C2 | semidirect |
| 3. #11926930 | C2 | semidirect |
| 4. #11926907 | C2 | semidirect |
| 5. #11926744 | C2 | semidirect |
| 6. #11926740 | C2 | semidirect |
| 7. #11926736 | C2 | semidirect |
| 8. #11926693 | C2 | semidirect |
| 9. #11926679 | C2 | semidirect |
| 10. #11926600 | C2 | semidirect |
| 11. C19×#460 | C2 | semidirect |
| 15. C2×SD16×C19 | C22 | semidirect |
| 17. C4×Q8×C19 | C22 | semidirect |
| 18. #10597393 | C22 | semidirect |
| 20. C2×#64527 | C22 | semidirect |
| 24. C2×#64525 | C22 | semidirect |
| 25. C2×D152 | C22 | semidirect |
| 29. #10597336 | C22 | semidirect |
| 32. C4×D76 | C22 | semidirect |
| 35. C19×C4⋊C8 | C22 | semidirect |
| 36. C19×#102 | C22 | semidirect |
| 37. #10597289 | C22 | semidirect |
| 38. #10597278 | C22 | semidirect |
| 40. #10597272 | C22 | semidirect |
| 41. #10597266 | C22 | semidirect |
| 42. C4⋊(C19⋊C8) | C22 | semidirect |
| 155. #460 | D19 | semidirect |
| 172. C2×SD16 | C2×D19 | semidirect |
| 186. C4×Q8 | C2×D19 | semidirect |
| 192. C4⋊C8 | C2×D19 | semidirect |
| 196. #102 | C2×D19 | semidirect |
| 199. C19 | #3217 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #127×D19 | 2 |
| #11927081 | 2 |
| #11926930 | 2 |
| #11926907 | 2 |
| #11926744 | 2 |
| #11926740 | 2 |
| #11926736 | 2 |
| #11926693 | 2 |
| #11926679 | 2 |
| #11926600 | 2 |
| C19×#460 | 2 |
| #3217 | 19 |