Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
468 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 468 conjugacy classes of subgroups — too many to draw. Only its 121 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×#10597392 | C2 | semidirect |
| 3. #11926873 | C2 | semidirect |
| 4. #11926863 | C2 | semidirect |
| 5. #11926860 | C2 | semidirect |
| 6. #11926776 | C2 | semidirect |
| 7. #11926770 | C2 | semidirect |
| 8. #11926693 | C2 | semidirect |
| 9. #11926683 | C2 | semidirect |
| 10. C22⋊C8×D19 | C2 | semidirect |
| 11. C19×#448 | C2 | semidirect |
| 12. C22×Q8×C19 | C22 | semidirect |
| 16. C2×SD16×C19 | C22 | semidirect |
| 21. #10597392 | C22 | semidirect |
| 22. C2×#64527 | C22 | semidirect |
| 27. C2×C4⋊Dic19 | C22 | semidirect |
| 29. C2×C8×D19 | C22 | semidirect |
| 34. C19×#103 | C22 | semidirect |
| 35. C19×C22⋊C8 | C22 | semidirect |
| 36. #10597292 | C22 | semidirect |
| 37. #10597289 | C22 | semidirect |
| 38. C22⋊(C19⋊C8) | C22 | semidirect |
| 39. #10597278 | C22 | semidirect |
| 41. #10597274 | C22 | semidirect |
| 42. #10597265 | C22 | semidirect |
| 93. C22×D19 | SD16 | semidirect |
| 161. #448 | D19 | semidirect |
| 171. C22×Q8 | C2×D19 | semidirect |
| 176. C2×SD16 | C2×D19 | semidirect |
| 196. #103 | C2×D19 | semidirect |
| 201. C22⋊C8 | C2×D19 | semidirect |
| 202. C19 | #3187 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10597392 | 2 |
| #121×D19 | 2 |
| #11926873 | 2 |
| #11926863 | 2 |
| #11926860 | 2 |
| #11926776 | 2 |
| #11926770 | 2 |
| #11926693 | 2 |
| #11926683 | 2 |
| C22⋊C8×D19 | 2 |
| C19×#448 | 2 |
| #3187 | 19 |