Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
462 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 462 conjugacy classes of subgroups — too many to draw. Only its 125 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. #11927254 | C2 | semidirect |
| 3. #11926891 | C2 | semidirect |
| 4. #11926864 | C2 | semidirect |
| 5. #11926834 | C2 | semidirect |
| 6. #11926776 | C2 | semidirect |
| 7. #11926744 | C2 | semidirect |
| 8. #11926693 | C2 | semidirect |
| 9. C8×D76 | C2 | semidirect |
| 10. #102×D19 | C2 | semidirect |
| 11. C4×SD16×C19 | C2 | semidirect |
| 15. C4×Q8×C19 | C22 | semidirect |
| 17. #10597392 | C22 | semidirect |
| 18. C2×#64527 | C22 | semidirect |
| 20. C2×C8×D19 | C22 | semidirect |
| 23. C4⋊C4×D19 | C22 | semidirect |
| 29. #10597315 | C22 | semidirect |
| 30. C19×#106 | C22 | semidirect |
| 31. C19×#103 | C22 | semidirect |
| 33. C4×C8×C19 | C22 | semidirect |
| 35. #10597278 | C22 | semidirect |
| 36. #10597278 | C22 | semidirect |
| 37. (C2×D19)⋊C8 | C22 | semidirect |
| 38. #10597266 | C22 | semidirect |
| 39. #10597265 | C22 | semidirect |
| 40. C4⋊(C19⋊C8) | C22 | semidirect |
| 102. D76 | SD16 | semidirect |
| 139. C4×SD16 | D19 | semidirect |
| 161. C4×Q8 | C2×D19 | semidirect |
| 167. #106 | C2×D19 | semidirect |
| 169. #103 | C2×D19 | semidirect |
| 176. C4×C8 | C2×D19 | semidirect |
| 177. C19 | #3295 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927254 | 2 |
| D4×D76 | 2 |
| #11926891 | 2 |
| #11926864 | 2 |
| #11926834 | 2 |
| #11926776 | 2 |
| #11926744 | 2 |
| #11926693 | 2 |
| C8×D76 | 2 |
| #102×D19 | 2 |
| C4×SD16×C19 | 2 |
| #3295 | 19 |